ETH Price: $2,409.21 (+7.46%)
Gas: 2.52 Gwei

Transaction Decoder

Block:
21936512 at Feb-27-2025 08:35:47 AM +UTC
Transaction Fee:
0.000282915692256784 ETH $0.68
Gas Used:
182,024 Gas / 1.554276866 Gwei

Emitted Events:

351 0xf3de3c0d654fda23dad170f0f320a92172509127.0x7724394874fdd8ad13292ec739b441f85c6559f10dc4141b8d4c0fa4cbf55bdb( 0x7724394874fdd8ad13292ec739b441f85c6559f10dc4141b8d4c0fa4cbf55bdb, 0000000000000000000000000000000000000000000000000000000000000000 )
352 FiatTokenProxy.0xddf252ad1be2c89b69c2b068fc378daa952ba7f163c4a11628f55a4df523b3ef( 0xddf252ad1be2c89b69c2b068fc378daa952ba7f163c4a11628f55a4df523b3ef, 0x00000000000000000000000005c5c62c41e72d892a7a1f3509e353c1a76233e0, 0x000000000000000000000000b9a4406982d990648093c71eff9f1f63a040152e, 00000000000000000000000000000000000000000000000000000002bfcfc800 )
353 TetherToken.Transfer( from=GSP, to=[Sender] 0x05c5c62c41e72d892a7a1f3509e353c1a76233e0, value=11818261837 )
354 GSP.DODOSwap( fromToken=FiatTokenProxy, toToken=TetherToken, fromAmount=11808000000, toAmount=11818261837, trader=0x56bd269db96a089295d742351ba459fb0c279fe2, receiver=[Sender] 0x05c5c62c41e72d892a7a1f3509e353c1a76233e0 )
355 0xf3de3c0d654fda23dad170f0f320a92172509127.0x1bb43f2da90e35f7b0cf38521ca95a49e68eb42fac49924930a5bd73cdf7576c( 0x1bb43f2da90e35f7b0cf38521ca95a49e68eb42fac49924930a5bd73cdf7576c, 000000000000000000000000a0b86991c6218b36c1d19d4a2e9eb0ce3606eb48, 000000000000000000000000dac17f958d2ee523a2206206994597c13d831ec7, 00000000000000000000000005c5c62c41e72d892a7a1f3509e353c1a76233e0, 00000000000000000000000000000000000000000000000000000002bfcfc800, 00000000000000000000000000000000000000000000000000000002c06c5d4d )

Account State Difference:

  Address   Before After State Difference Code
0x05c5C62C...1a76233e0
0.008447389271557629 Eth
Nonce: 3
0.008164473579300845 Eth
Nonce: 4
0.000282915692256784
(beaverbuild)
8.082528144134282124 Eth8.082686870607847908 Eth0.000158726473565784
0xA0b86991...E3606eB48
0xB9A44069...3A040152e
0xdAC17F95...13D831ec7

Execution Trace

0xf3de3c0d654fda23dad170f0f320a92172509127.b80c2f09( )
  • TetherToken.balanceOf( who=0x05c5C62C41e72d892A7a1F3509E353c1a76233e0 ) => ( 0 )
  • OKX: Dex Aggregator.0a5ea466( )
    • TokenApprove.claimTokens( _token=0xA0b86991c6218b36c1d19D4a2e9Eb0cE3606eB48, _who=0x05c5C62C41e72d892A7a1F3509E353c1a76233e0, _dest=0xB9A4406982D990648093C71eFF9F1f63A040152e, _amount=11808000000 )
      • FiatTokenProxy.23b872dd( )
        • FiatTokenV2_2.transferFrom( from=0x05c5C62C41e72d892A7a1F3509E353c1a76233e0, to=0xB9A4406982D990648093C71eFF9F1f63A040152e, value=11808000000 ) => ( True )
        • 0x56bd269db96a089295d742351ba459fb0c279fe2.6f7929f2( )
          • GSP.sellQuote( to=0x05c5C62C41e72d892A7a1F3509E353c1a76233e0 ) => ( receiveBaseAmount=11818261837 )
            • GSP.sellQuote( to=0x05c5C62C41e72d892A7a1F3509E353c1a76233e0 ) => ( receiveBaseAmount=11818261837 )
              • FiatTokenProxy.70a08231( )
                • FiatTokenV2_2.balanceOf( account=0xB9A4406982D990648093C71eFF9F1f63A040152e ) => ( 383919118436 )
                • TetherToken.transfer( _to=0x05c5C62C41e72d892A7a1F3509E353c1a76233e0, _value=11818261837 )
                • TetherToken.balanceOf( who=0xB9A4406982D990648093C71eFF9F1f63A040152e ) => ( 2138735390456 )
                • TetherToken.balanceOf( who=0xF3dE3C0d654FDa23daD170f0f320a92172509127 ) => ( 0 )
                • TetherToken.balanceOf( who=0x05c5C62C41e72d892A7a1F3509E353c1a76233e0 ) => ( 11818261837 )
                  File 1 of 6: FiatTokenProxy
                  pragma solidity ^0.4.24;
                  
                  // File: zos-lib/contracts/upgradeability/Proxy.sol
                  
                  /**
                   * @title Proxy
                   * @dev Implements delegation of calls to other contracts, with proper
                   * forwarding of return values and bubbling of failures.
                   * It defines a fallback function that delegates all calls to the address
                   * returned by the abstract _implementation() internal function.
                   */
                  contract Proxy {
                    /**
                     * @dev Fallback function.
                     * Implemented entirely in `_fallback`.
                     */
                    function () payable external {
                      _fallback();
                    }
                  
                    /**
                     * @return The Address of the implementation.
                     */
                    function _implementation() internal view returns (address);
                  
                    /**
                     * @dev Delegates execution to an implementation contract.
                     * This is a low level function that doesn't return to its internal call site.
                     * It will return to the external caller whatever the implementation returns.
                     * @param implementation Address to delegate.
                     */
                    function _delegate(address implementation) internal {
                      assembly {
                        // Copy msg.data. We take full control of memory in this inline assembly
                        // block because it will not return to Solidity code. We overwrite the
                        // Solidity scratch pad at memory position 0.
                        calldatacopy(0, 0, calldatasize)
                  
                        // Call the implementation.
                        // out and outsize are 0 because we don't know the size yet.
                        let result := delegatecall(gas, implementation, 0, calldatasize, 0, 0)
                  
                        // Copy the returned data.
                        returndatacopy(0, 0, returndatasize)
                  
                        switch result
                        // delegatecall returns 0 on error.
                        case 0 { revert(0, returndatasize) }
                        default { return(0, returndatasize) }
                      }
                    }
                  
                    /**
                     * @dev Function that is run as the first thing in the fallback function.
                     * Can be redefined in derived contracts to add functionality.
                     * Redefinitions must call super._willFallback().
                     */
                    function _willFallback() internal {
                    }
                  
                    /**
                     * @dev fallback implementation.
                     * Extracted to enable manual triggering.
                     */
                    function _fallback() internal {
                      _willFallback();
                      _delegate(_implementation());
                    }
                  }
                  
                  // File: openzeppelin-solidity/contracts/AddressUtils.sol
                  
                  /**
                   * Utility library of inline functions on addresses
                   */
                  library AddressUtils {
                  
                    /**
                     * Returns whether the target address is a contract
                     * @dev This function will return false if invoked during the constructor of a contract,
                     * as the code is not actually created until after the constructor finishes.
                     * @param addr address to check
                     * @return whether the target address is a contract
                     */
                    function isContract(address addr) internal view returns (bool) {
                      uint256 size;
                      // XXX Currently there is no better way to check if there is a contract in an address
                      // than to check the size of the code at that address.
                      // See https://ethereum.stackexchange.com/a/14016/36603
                      // for more details about how this works.
                      // TODO Check this again before the Serenity release, because all addresses will be
                      // contracts then.
                      // solium-disable-next-line security/no-inline-assembly
                      assembly { size := extcodesize(addr) }
                      return size > 0;
                    }
                  
                  }
                  
                  // File: zos-lib/contracts/upgradeability/UpgradeabilityProxy.sol
                  
                  /**
                   * @title UpgradeabilityProxy
                   * @dev This contract implements a proxy that allows to change the
                   * implementation address to which it will delegate.
                   * Such a change is called an implementation upgrade.
                   */
                  contract UpgradeabilityProxy is Proxy {
                    /**
                     * @dev Emitted when the implementation is upgraded.
                     * @param implementation Address of the new implementation.
                     */
                    event Upgraded(address implementation);
                  
                    /**
                     * @dev Storage slot with the address of the current implementation.
                     * This is the keccak-256 hash of "org.zeppelinos.proxy.implementation", and is
                     * validated in the constructor.
                     */
                    bytes32 private constant IMPLEMENTATION_SLOT = 0x7050c9e0f4ca769c69bd3a8ef740bc37934f8e2c036e5a723fd8ee048ed3f8c3;
                  
                    /**
                     * @dev Contract constructor.
                     * @param _implementation Address of the initial implementation.
                     */
                    constructor(address _implementation) public {
                      assert(IMPLEMENTATION_SLOT == keccak256("org.zeppelinos.proxy.implementation"));
                  
                      _setImplementation(_implementation);
                    }
                  
                    /**
                     * @dev Returns the current implementation.
                     * @return Address of the current implementation
                     */
                    function _implementation() internal view returns (address impl) {
                      bytes32 slot = IMPLEMENTATION_SLOT;
                      assembly {
                        impl := sload(slot)
                      }
                    }
                  
                    /**
                     * @dev Upgrades the proxy to a new implementation.
                     * @param newImplementation Address of the new implementation.
                     */
                    function _upgradeTo(address newImplementation) internal {
                      _setImplementation(newImplementation);
                      emit Upgraded(newImplementation);
                    }
                  
                    /**
                     * @dev Sets the implementation address of the proxy.
                     * @param newImplementation Address of the new implementation.
                     */
                    function _setImplementation(address newImplementation) private {
                      require(AddressUtils.isContract(newImplementation), "Cannot set a proxy implementation to a non-contract address");
                  
                      bytes32 slot = IMPLEMENTATION_SLOT;
                  
                      assembly {
                        sstore(slot, newImplementation)
                      }
                    }
                  }
                  
                  // File: zos-lib/contracts/upgradeability/AdminUpgradeabilityProxy.sol
                  
                  /**
                   * @title AdminUpgradeabilityProxy
                   * @dev This contract combines an upgradeability proxy with an authorization
                   * mechanism for administrative tasks.
                   * All external functions in this contract must be guarded by the
                   * `ifAdmin` modifier. See ethereum/solidity#3864 for a Solidity
                   * feature proposal that would enable this to be done automatically.
                   */
                  contract AdminUpgradeabilityProxy is UpgradeabilityProxy {
                    /**
                     * @dev Emitted when the administration has been transferred.
                     * @param previousAdmin Address of the previous admin.
                     * @param newAdmin Address of the new admin.
                     */
                    event AdminChanged(address previousAdmin, address newAdmin);
                  
                    /**
                     * @dev Storage slot with the admin of the contract.
                     * This is the keccak-256 hash of "org.zeppelinos.proxy.admin", and is
                     * validated in the constructor.
                     */
                    bytes32 private constant ADMIN_SLOT = 0x10d6a54a4754c8869d6886b5f5d7fbfa5b4522237ea5c60d11bc4e7a1ff9390b;
                  
                    /**
                     * @dev Modifier to check whether the `msg.sender` is the admin.
                     * If it is, it will run the function. Otherwise, it will delegate the call
                     * to the implementation.
                     */
                    modifier ifAdmin() {
                      if (msg.sender == _admin()) {
                        _;
                      } else {
                        _fallback();
                      }
                    }
                  
                    /**
                     * Contract constructor.
                     * It sets the `msg.sender` as the proxy administrator.
                     * @param _implementation address of the initial implementation.
                     */
                    constructor(address _implementation) UpgradeabilityProxy(_implementation) public {
                      assert(ADMIN_SLOT == keccak256("org.zeppelinos.proxy.admin"));
                  
                      _setAdmin(msg.sender);
                    }
                  
                    /**
                     * @return The address of the proxy admin.
                     */
                    function admin() external view ifAdmin returns (address) {
                      return _admin();
                    }
                  
                    /**
                     * @return The address of the implementation.
                     */
                    function implementation() external view ifAdmin returns (address) {
                      return _implementation();
                    }
                  
                    /**
                     * @dev Changes the admin of the proxy.
                     * Only the current admin can call this function.
                     * @param newAdmin Address to transfer proxy administration to.
                     */
                    function changeAdmin(address newAdmin) external ifAdmin {
                      require(newAdmin != address(0), "Cannot change the admin of a proxy to the zero address");
                      emit AdminChanged(_admin(), newAdmin);
                      _setAdmin(newAdmin);
                    }
                  
                    /**
                     * @dev Upgrade the backing implementation of the proxy.
                     * Only the admin can call this function.
                     * @param newImplementation Address of the new implementation.
                     */
                    function upgradeTo(address newImplementation) external ifAdmin {
                      _upgradeTo(newImplementation);
                    }
                  
                    /**
                     * @dev Upgrade the backing implementation of the proxy and call a function
                     * on the new implementation.
                     * This is useful to initialize the proxied contract.
                     * @param newImplementation Address of the new implementation.
                     * @param data Data to send as msg.data in the low level call.
                     * It should include the signature and the parameters of the function to be
                     * called, as described in
                     * https://solidity.readthedocs.io/en/develop/abi-spec.html#function-selector-and-argument-encoding.
                     */
                    function upgradeToAndCall(address newImplementation, bytes data) payable external ifAdmin {
                      _upgradeTo(newImplementation);
                      require(address(this).call.value(msg.value)(data));
                    }
                  
                    /**
                     * @return The admin slot.
                     */
                    function _admin() internal view returns (address adm) {
                      bytes32 slot = ADMIN_SLOT;
                      assembly {
                        adm := sload(slot)
                      }
                    }
                  
                    /**
                     * @dev Sets the address of the proxy admin.
                     * @param newAdmin Address of the new proxy admin.
                     */
                    function _setAdmin(address newAdmin) internal {
                      bytes32 slot = ADMIN_SLOT;
                  
                      assembly {
                        sstore(slot, newAdmin)
                      }
                    }
                  
                    /**
                     * @dev Only fall back when the sender is not the admin.
                     */
                    function _willFallback() internal {
                      require(msg.sender != _admin(), "Cannot call fallback function from the proxy admin");
                      super._willFallback();
                    }
                  }
                  
                  // File: contracts/FiatTokenProxy.sol
                  
                  /**
                  * Copyright CENTRE SECZ 2018
                  *
                  * Permission is hereby granted, free of charge, to any person obtaining a copy 
                  * of this software and associated documentation files (the "Software"), to deal 
                  * in the Software without restriction, including without limitation the rights 
                  * to use, copy, modify, merge, publish, distribute, sublicense, and/or sell 
                  * copies of the Software, and to permit persons to whom the Software is furnished to 
                  * do so, subject to the following conditions:
                  *
                  * The above copyright notice and this permission notice shall be included in all 
                  * copies or substantial portions of the Software.
                  *
                  * THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR 
                  * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, 
                  * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE 
                  * AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY,
                  * WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN 
                  * CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE.
                  */
                  
                  pragma solidity ^0.4.24;
                  
                  
                  /**
                   * @title FiatTokenProxy
                   * @dev This contract proxies FiatToken calls and enables FiatToken upgrades
                  */ 
                  contract FiatTokenProxy is AdminUpgradeabilityProxy {
                      constructor(address _implementation) public AdminUpgradeabilityProxy(_implementation) {
                      }
                  }

                  File 2 of 6: GSP
                  /*
                      Copyright 2020 DODO ZOO.
                      SPDX-License-Identifier: Apache-2.0
                  */
                  pragma solidity 0.8.16;
                  import {IERC20} from "@openzeppelin/contracts/token/ERC20/IERC20.sol";
                  import {IERC20Metadata} from "@openzeppelin/contracts/token/ERC20/extensions/IERC20Metadata.sol";
                  import {GSPTrader} from "./GSPTrader.sol";
                  import {GSPFunding} from "./GSPFunding.sol";
                  import {GSPVault} from "./GSPVault.sol";
                  /**
                   * @title DODO GasSavingPool
                   * @author DODO Breeder
                   *
                   * @notice DODO GasSavingPool initialization
                   */
                  contract GSP is GSPTrader, GSPFunding {
                      /**
                       * @notice Function will be called in factory, init risk should not be included.
                       * @param maintainer The dodo's address, who can claim mtFee and own this pool
                       * @param admin oracle owner address, who can set price.
                       * @param baseTokenAddress The base token address
                       * @param quoteTokenAddress The quote token address
                       * @param lpFeeRate The rate of lp fee, with 18 decimal
                       * @param mtFeeRate The rate of mt fee, with 18 decimal
                       * @param i The oracle price, possible to be changed only by maintainer
                       * @param k The swap curve parameter
                       * @param priceLimit The limit of the setting range of the I
                       * @param isOpenTWAP Useless, always false, just for compatible with old version pool
                       */
                      function init(
                          address maintainer,
                          address admin,
                          address baseTokenAddress,
                          address quoteTokenAddress,
                          uint256 lpFeeRate,
                          uint256 mtFeeRate,
                          uint256 i,
                          uint256 k,
                          uint256 priceLimit,
                          bool isOpenTWAP
                      ) external {
                          // GSP can only be initialized once
                          require(!_GSP_INITIALIZED_, "GSP_INITIALIZED");
                          // _GSP_INITIALIZED_ is set to true after initialization
                          _GSP_INITIALIZED_ = true;
                          // baseTokenAddress and quoteTokenAddress should not be the same
                          require(baseTokenAddress != quoteTokenAddress, "BASE_QUOTE_CAN_NOT_BE_SAME");
                          // _BASE_TOKEN_ and _QUOTE_TOKEN_ should be valid ERC20 tokens
                          _BASE_TOKEN_ = IERC20(baseTokenAddress);
                          _QUOTE_TOKEN_ = IERC20(quoteTokenAddress);
                          // i should be greater than 0 and less than 10**36
                          require(i > 0 && i <= 10**36);
                          _I_ = i;
                          // k should be greater than 0 and less than 10**18
                          require(k <= 10**18);
                          _K_ = k;
                          // _LP_FEE_RATE_ is set when initialization
                          _LP_FEE_RATE_ = lpFeeRate;
                          // _MT_FEE_RATE_ is set when initialization
                          _MT_FEE_RATE_ = mtFeeRate;
                          // _MAINTAINER_ is set when initialization, the address receives the fee
                          _MAINTAINER_ = maintainer;
                          _ADMIN_ = admin;
                          _PRICE_LIMIT_ = priceLimit;
                          // _IS_OPEN_TWAP_ is always false
                          _IS_OPEN_TWAP_ = false;
                          string memory connect = "_";
                          string memory suffix = "GSP";
                          // name of the shares is the combination of suffix, connect and string of the GSP
                          name = string(abi.encodePacked(suffix, connect, addressToShortString(address(this))));
                          // symbol of the shares is GLP
                          symbol = "GLP";
                          // decimals of the shares is the same as the base token decimals
                          decimals = IERC20Metadata(baseTokenAddress).decimals();
                          // initialize DOMAIN_SEPARATOR
                          buildDomainSeparator();
                          // ==========================================================================
                      }
                      // ============================== Permit ====================================
                      /**
                       * @notice DOMAIN_SEPARATOR is used for approve by signature
                       */
                      function buildDomainSeparator() public returns (bytes32){
                          string memory connect = "_";
                          string memory suffix = "GSP";
                          // name of the shares is the combination of suffix, connect and string of the GSP
                          string memory name = string(abi.encodePacked(suffix, connect, addressToShortString(address(this))));
                          DOMAIN_SEPARATOR = keccak256(
                              abi.encode(
                                  // keccak256('EIP712Domain(string name,string version,uint256 chainId,address verifyingContract)'),
                                  0x8b73c3c69bb8fe3d512ecc4cf759cc79239f7b179b0ffacaa9a75d522b39400f,
                                  keccak256(bytes(name)),
                                  keccak256(bytes("1")),
                                  block.chainid,
                                  address(this)
                              )
                          );
                          return DOMAIN_SEPARATOR;
                      }
                      /**
                       * @notice Convert the address to a shorter string
                       * @param _addr The address to convert
                       * @return A string representation of _addr in hexadecimal
                       */
                      function addressToShortString(address _addr) public pure returns (string memory) {
                          bytes32 value = bytes32(uint256(uint160(_addr)));
                          bytes memory alphabet = "0123456789abcdef";
                          bytes memory str = new bytes(8);
                          for (uint256 i = 0; i < 4; i++) {
                              str[i * 2] = alphabet[uint8(value[i + 12] >> 4)];
                              str[1 + i * 2] = alphabet[uint8(value[i + 12] & 0x0f)];
                          }
                          return string(str);
                      }
                      // ============ Version Control ============
                      /**
                       * @notice Return the version of DODOGasSavingPool
                       * @return The current version is 1.0.1
                       */
                      function version() external pure returns (string memory) {
                          return "GSP 1.0.1";
                      }
                  }
                  /*
                      Copyright 2020 DODO ZOO.
                      SPDX-License-Identifier: Apache-2.0
                  */
                  pragma solidity 0.8.16;
                  import {DecimalMath} from "../../lib/DecimalMath.sol";
                  import {PMMPricing} from "../../lib/PMMPricing.sol";
                  import {IERC20} from "@openzeppelin/contracts/token/ERC20/IERC20.sol";
                  import {SafeERC20} from "@openzeppelin/contracts/token/ERC20/utils/SafeERC20.sol";
                  import {GSPStorage} from "./GSPStorage.sol";
                  contract GSPVault is GSPStorage {
                      using SafeERC20 for IERC20;
                      // ============ Modifiers ============
                      /// @notice Check whether the caller is maintainer
                      modifier onlyMaintainer() {
                          require(msg.sender == _MAINTAINER_, "ACCESS_DENIED");
                          _;
                      }
                      /// @notice Check whether the caller is admin
                      modifier onlyAdmin() {
                          require(msg.sender == _ADMIN_, "ADMIN_ACCESS_DENIED");
                          _;
                      }
                      // ============ Events ============
                      event Transfer(address indexed from, address indexed to, uint256 amount);
                      event Approval(address indexed owner, address indexed spender, uint256 amount);
                      event Mint(address indexed user, uint256 value);
                      event Burn(address indexed user, uint256 value);
                      event MtFeeRateChange(uint256 newMtFee);
                      event LpFeeRateChange(uint256 newLpFee);
                      event IChange(uint256 newI);
                      event KChange(uint256 newK);
                      event WithdrawMtFee(address indexed token, uint256 amount);
                      // ============ View Functions ============
                      /**
                       * @notice Get the reserves of the pool
                       * @return baseReserve The base token reserve
                       * @return quoteReserve The quote token reserve
                       */
                      function getVaultReserve() external view returns (uint256 baseReserve, uint256 quoteReserve) {
                          baseReserve = _BASE_RESERVE_;
                          quoteReserve = _QUOTE_RESERVE_;
                      }
                      /**
                       * @notice Get the fee rate of the pool
                       * @param user Useless, just keep the same interface with old version pool
                       * @return lpFeeRate The lp fee rate
                       * @return mtFeeRate The mt fee rate
                       */
                      function getUserFeeRate(address user) 
                          external 
                          view 
                          returns (uint256 lpFeeRate, uint256 mtFeeRate) 
                      {
                          lpFeeRate = _LP_FEE_RATE_;
                          mtFeeRate = _MT_FEE_RATE_;
                      }
                      // ============ Asset In ============
                      /**
                       * @notice Get the amount of base token transferred in
                       * @dev The amount of base token input should be the base token reserve minus the mt fee in base token
                       * @return input The amount of base token transferred in
                       */
                      function getBaseInput() public view returns (uint256 input) {
                          return _BASE_TOKEN_.balanceOf(address(this)) - uint256(_BASE_RESERVE_) - uint256(_MT_FEE_BASE_);
                      }
                      /**
                       * @notice Get the amount of quote token transferred in
                       * @dev The amount of quote token input should be the quote token reserve minus the mt fee in quote token
                       * @return input The amount of quote token transferred in
                       */
                      function getQuoteInput() public view returns (uint256 input) {
                          return _QUOTE_TOKEN_.balanceOf(address(this)) - uint256(_QUOTE_RESERVE_) - uint256(_MT_FEE_QUOTE_);
                      }
                      // ============ Set States ============
                      /**
                       * @notice Set the reserves of the pool, internal use only
                       * @param baseReserve The base token reserve
                       * @param quoteReserve The quote token reserve
                       */
                      function _setReserve(uint256 baseReserve, uint256 quoteReserve) internal {
                          // the reserves should be less than the max uint112
                          require(baseReserve <= type(uint112).max && quoteReserve <= type(uint112).max, "OVERFLOW");
                          _BASE_RESERVE_ = uint112(baseReserve);
                          _QUOTE_RESERVE_ = uint112(quoteReserve);
                      }
                      /**
                       * @notice Sync the reserves of the pool, internal use only
                       * @dev The balances of the pool should be actual balances minus the mt fee
                       */
                      function _sync() internal {
                          uint256 baseBalance = _BASE_TOKEN_.balanceOf(address(this)) - uint256(_MT_FEE_BASE_);
                          uint256 quoteBalance = _QUOTE_TOKEN_.balanceOf(address(this)) - uint256(_MT_FEE_QUOTE_);
                          // the reserves should be less than the max uint112
                          require(baseBalance <= type(uint112).max && quoteBalance <= type(uint112).max, "OVERFLOW");
                          if (baseBalance != _BASE_RESERVE_) {
                              _BASE_RESERVE_ = uint112(baseBalance);
                          }
                          if (quoteBalance != _QUOTE_RESERVE_) {
                              _QUOTE_RESERVE_ = uint112(quoteBalance);
                          }
                      }
                      /// @notice Sync the reserves of the pool
                      function sync() external nonReentrant {
                          _sync();
                      }
                      /// @notice Correct the rState of the pool, details in pmm algorithm
                      function correctRState() public {
                          if (_RState_ == uint32(PMMPricing.RState.BELOW_ONE) && _BASE_RESERVE_<_BASE_TARGET_) {
                            _RState_ = uint32(PMMPricing.RState.ONE);
                            _BASE_TARGET_ = _BASE_RESERVE_;
                            _QUOTE_TARGET_ = _QUOTE_RESERVE_;
                          }
                          if (_RState_ == uint32(PMMPricing.RState.ABOVE_ONE) && _QUOTE_RESERVE_<_QUOTE_TARGET_) {
                            _RState_ = uint32(PMMPricing.RState.ONE);
                            _BASE_TARGET_ = _BASE_RESERVE_;
                            _QUOTE_TARGET_ = _QUOTE_RESERVE_;
                          }
                      }
                      /**
                       * @notice PriceLimit is used for oracle change protection
                       * @notice It sets a ratio where the relative deviation between the new price and the old price cannot exceed this ratio.
                       * @dev The default priceLimit is 1e3, the decimals of priceLimit is 1e6
                       * @param priceLimit The new price limit
                       */
                      function adjustPriceLimit(uint256 priceLimit) external onlyAdmin {
                          // the default priceLimit is 1e3
                          require(priceLimit <= 1e6, "INVALID_PRICE_LIMIT");
                          _PRICE_LIMIT_ = priceLimit;
                      }
                      /**
                       * @notice Adjust oricle price i, only for admin
                       */
                      function adjustPrice(uint256 i) external onlyAdmin {
                          // the difference between i and _I_ should be less than priceLimit
                          uint256 offset = i > _I_ ? i - _I_ : _I_ - i;
                          require((offset * 1e6 / _I_) <= _PRICE_LIMIT_, "EXCEED_PRICE_LIMIT");
                          _I_ = i;
                          
                          emit IChange(i);
                      }
                      /**
                       * @notice Adjust mtFee rate, only for maintainer
                       * @dev The decimals of mtFee rate is 1e18
                       * @param mtFeeRate The new mtFee rate
                       */
                      function adjustMtFeeRate(uint256 mtFeeRate) external onlyMaintainer {
                          require(mtFeeRate <= 10**18, "INVALID_MT_FEE_RATE");
                          _MT_FEE_RATE_ = mtFeeRate;
                          emit MtFeeRateChange(mtFeeRate);
                      }
                      /**
                       * @notice Adjust lpFee rate, only for maintainer
                       * @dev The decimals of lpFee rate is 1e18
                       * @param lpFeeRate The new lpFee rate
                       */
                      function adjustLpFeeRate(uint256 lpFeeRate) external onlyMaintainer {
                          require(lpFeeRate <= 10**18, "INVALID_LP_FEE_RATE");
                          _LP_FEE_RATE_ = lpFeeRate;
                          emit LpFeeRateChange(lpFeeRate);
                      }
                      /**
                       * @notice Adjust swap curve parameter k, only for maintainer
                       * @dev The decimals of k is 1e18
                       * @param k The new swap curve parameter k
                       */
                      function adjustK(uint256 k) external onlyMaintainer {
                          require(k <= 10**18, "INVALID_K");
                          _K_ = k;
                          emit KChange(k);
                      }
                      // ============ Asset Out ============
                      /**
                       * @notice Transfer base token out, internal use only
                       * @param to The address of the receiver
                       * @param amount The amount of base token to transfer out
                       */
                      function _transferBaseOut(address to, uint256 amount) internal {
                          if (amount > 0) {
                              _BASE_TOKEN_.safeTransfer(to, amount);
                          }
                      }
                      /**
                       * @notice Transfer quote token out, internal use only
                       * @param to The address of the receiver
                       * @param amount The amount of quote token to transfer out
                       */
                      function _transferQuoteOut(address to, uint256 amount) internal {
                          if (amount > 0) {
                              _QUOTE_TOKEN_.safeTransfer(to, amount);
                          }
                      }
                      /// @notice Maintainer withdraw mtFee, only for maintainer
                      function withdrawMtFeeTotal() external nonReentrant onlyMaintainer {
                          uint256 mtFeeQuote = _MT_FEE_QUOTE_;
                          uint256 mtFeeBase = _MT_FEE_BASE_;
                          _MT_FEE_QUOTE_ = 0;
                          _transferQuoteOut(_MAINTAINER_, mtFeeQuote);
                          _MT_FEE_BASE_ = 0;
                          _transferBaseOut(_MAINTAINER_, mtFeeBase);
                          emit WithdrawMtFee(address(_QUOTE_TOKEN_), mtFeeQuote);
                          emit WithdrawMtFee(address(_BASE_TOKEN_), mtFeeBase);
                      }
                      // ============ Shares (ERC20) ============
                      /**
                       * @dev Transfer token for a specified address
                       * @param to The address to transfer to.
                       * @param amount The amount to be transferred.
                       */
                      function transfer(address to, uint256 amount) public returns (bool) {
                          require(amount <= _SHARES_[msg.sender], "BALANCE_NOT_ENOUGH");
                          _SHARES_[msg.sender] = _SHARES_[msg.sender] - (amount);
                          _SHARES_[to] = _SHARES_[to] + amount;
                          emit Transfer(msg.sender, to, amount);
                          return true;
                      }
                      /**
                       * @dev Gets the balance of the specified address.
                       * @param owner The address to query the the balance of.
                       * @return balance An uint256 representing the amount owned by the passed address.
                       */
                      function balanceOf(address owner) external view returns (uint256 balance) {
                          return _SHARES_[owner];
                      }
                      /**
                       * @dev Transfer tokens from one address to another
                       * @param from address The address which you want to send tokens from
                       * @param to address The address which you want to transfer to
                       * @param amount uint256 the amount of tokens to be transferred
                       */
                      function transferFrom(
                          address from,
                          address to,
                          uint256 amount
                      ) public returns (bool) {
                          require(amount <= _SHARES_[from], "BALANCE_NOT_ENOUGH");
                          require(amount <= _ALLOWED_[from][msg.sender], "ALLOWANCE_NOT_ENOUGH");
                          _SHARES_[from] = _SHARES_[from] - amount;
                          _SHARES_[to] = _SHARES_[to] + amount;
                          _ALLOWED_[from][msg.sender] = _ALLOWED_[from][msg.sender] - amount;
                          emit Transfer(from, to, amount);
                          return true;
                      }
                      /**
                       * @dev Approve the passed address to spend the specified amount of tokens on behalf of msg.sender.
                       * @param spender The address which will spend the funds.
                       * @param amount The amount of tokens to be spent.
                       */
                      function approve(address spender, uint256 amount) public returns (bool) {
                          _approve(msg.sender, spender, amount);
                          return true;
                      }
                      function _approve(
                          address owner,
                          address spender,
                          uint256 amount
                      ) private {
                          _ALLOWED_[owner][spender] = amount;
                          emit Approval(owner, spender, amount);
                      }
                      /**
                       * @dev Function to check the amount of tokens that an owner _ALLOWED_ to a spender.
                       * @param owner address The address which owns the funds.
                       * @param spender address The address which will spend the funds.
                       * @return A uint256 specifying the amount of tokens still available for the spender.
                       */
                      function allowance(address owner, address spender) public view returns (uint256) {
                          return _ALLOWED_[owner][spender];
                      }
                      function _mint(address user, uint256 value) internal {
                          require(value > 1000, "MINT_AMOUNT_NOT_ENOUGH");
                          _SHARES_[user] = _SHARES_[user] + value;
                          totalSupply = totalSupply + value;
                          emit Mint(user, value);
                          emit Transfer(address(0), user, value);
                      }
                      function _burn(address user, uint256 value) internal {
                          _SHARES_[user] = _SHARES_[user] - value;
                          totalSupply = totalSupply - value;
                          emit Burn(user, value);
                          emit Transfer(user, address(0), value);
                      }
                      // ============================ Permit ======================================
                      function permit(
                          address owner,
                          address spender,
                          uint256 value,
                          uint256 deadline,
                          uint8 v,
                          bytes32 r,
                          bytes32 s
                      ) external {
                          require(deadline >= block.timestamp, "DODO_GSP_LP: EXPIRED");
                          bytes32 digest =
                              keccak256(
                                  abi.encodePacked(
                                      "\\x19\\x01",
                                      DOMAIN_SEPARATOR,
                                      keccak256(
                                          abi.encode(
                                              PERMIT_TYPEHASH,
                                              owner,
                                              spender,
                                              value,
                                              nonces[owner]++,
                                              deadline
                                          )
                                      )
                                  )
                              );
                          address recoveredAddress = ecrecover(digest, v, r, s);
                          require(
                              recoveredAddress != address(0) && recoveredAddress == owner,
                              "DODO_GSP_LP: INVALID_SIGNATURE"
                          );
                          _approve(owner, spender, value);
                      }
                  }/*
                      Copyright 2020 DODO ZOO.
                      SPDX-License-Identifier: Apache-2.0
                  */
                  pragma solidity 0.8.16;
                  import {GSPVault} from "./GSPVault.sol";
                  import {DecimalMath} from "../../lib/DecimalMath.sol";
                  import {IDODOCallee} from "../../intf/IDODOCallee.sol";
                  /// @notice this part focus on Lp tokens, mint and burn
                  contract GSPFunding is GSPVault {
                      // ============ Events ============
                      event BuyShares(address to, uint256 increaseShares, uint256 totalShares);
                      event SellShares(address payer, address to, uint256 decreaseShares, uint256 totalShares);
                      // ============ Buy & Sell Shares ============
                      
                      /// @notice User mint Lp token and deposit tokens, the result is rounded down
                      /// @dev User first transfer baseToken and quoteToken to GSP, then call buyShares
                      /// @param to The address will receive shares
                      /// @return shares The amount of shares user will receive
                      /// @return baseInput The amount of baseToken user transfer to GSP
                      /// @return quoteInput The amount of quoteToken user transfer to GSP
                      function buyShares(address to)
                          external
                          nonReentrant
                          returns (
                              uint256 shares,
                              uint256 baseInput,
                              uint256 quoteInput
                          )
                      {
                          // The balance of baseToken and quoteToken should be the balance minus the fee
                          uint256 baseBalance = _BASE_TOKEN_.balanceOf(address(this)) - _MT_FEE_BASE_;
                          uint256 quoteBalance = _QUOTE_TOKEN_.balanceOf(address(this)) - _MT_FEE_QUOTE_;
                          // The reserve of baseToken and quoteToken
                          uint256 baseReserve = _BASE_RESERVE_;
                          uint256 quoteReserve = _QUOTE_RESERVE_;
                          // The amount of baseToken and quoteToken user transfer to GSP
                          baseInput = baseBalance - baseReserve;
                          quoteInput = quoteBalance - quoteReserve;
                          // BaseToken should be transferred to GSP before calling buyShares
                          require(baseInput > 0, "NO_BASE_INPUT");
                          // Round down when withdrawing. Therefore, never be a situation occuring balance is 0 but totalsupply is not 0
                          // But May Happen,reserve >0 But totalSupply = 0
                          if (totalSupply == 0) {
                              // case 1. initial supply
                              require(quoteBalance > 0, "ZERO_QUOTE_AMOUNT");
                              // The shares will be minted to user
                              shares = quoteBalance < DecimalMath.mulFloor(baseBalance, _I_)
                                  ? DecimalMath.divFloor(quoteBalance, _I_)
                                  : baseBalance;
                              // The target will be updated
                              _BASE_TARGET_ = uint112(shares);
                              _QUOTE_TARGET_ = uint112(DecimalMath.mulFloor(shares, _I_));
                              require(_QUOTE_TARGET_ > 0, "QUOTE_TARGET_IS_ZERO");
                              // Lock 1001 shares permanently in first deposit 
                              require(shares > 2001, "MINT_AMOUNT_NOT_ENOUGH");
                              _mint(address(0), 1001);
                              shares -= 1001;
                          } else if (baseReserve > 0 && quoteReserve > 0) {
                              // case 2. normal case
                              uint256 baseInputRatio = DecimalMath.divFloor(baseInput, baseReserve);
                              uint256 quoteInputRatio = DecimalMath.divFloor(quoteInput, quoteReserve);
                              uint256 mintRatio = quoteInputRatio < baseInputRatio ? quoteInputRatio : baseInputRatio;
                              // The shares will be minted to user
                              shares = DecimalMath.mulFloor(totalSupply, mintRatio);
                              // The target will be updated
                              _BASE_TARGET_ = uint112(uint256(_BASE_TARGET_) + (DecimalMath.mulFloor(uint256(_BASE_TARGET_), mintRatio)));
                              _QUOTE_TARGET_ = uint112(uint256(_QUOTE_TARGET_) + (DecimalMath.mulFloor(uint256(_QUOTE_TARGET_), mintRatio)));
                          }
                          // The shares will be minted to user
                          // The reserve will be updated
                          _mint(to, shares);
                          _setReserve(baseBalance, quoteBalance);
                          emit BuyShares(to, shares, _SHARES_[to]);
                      }
                      /// @notice User burn their lp and withdraw their tokens, the result is rounded down
                      /// @dev User call sellShares, the calculated baseToken and quoteToken amount should geater than minBaseToken and minQuoteToken
                      /// @param shareAmount The amount of shares user want to sell
                      /// @param to The address will receive baseToken and quoteToken
                      /// @param baseMinAmount The minimum amount of baseToken user want to receive
                      /// @param quoteMinAmount The minimum amount of quoteToken user want to receive
                      /// @param data The data will be passed to callee contract
                      /// @param deadline The deadline of this transaction
                      function sellShares(
                          uint256 shareAmount,
                          address to,
                          uint256 baseMinAmount,
                          uint256 quoteMinAmount,
                          bytes calldata data,
                          uint256 deadline
                      ) external nonReentrant returns (uint256 baseAmount, uint256 quoteAmount) {
                          // The deadline should be greater than current timestamp
                          require(deadline >= block.timestamp, "TIME_EXPIRED");
                          // The amount of shares user want to sell should be less than user's balance
                          require(shareAmount <= _SHARES_[msg.sender], "GLP_NOT_ENOUGH");
                          // The balance of baseToken and quoteToken should be the balance minus the fee
                          uint256 baseBalance = _BASE_TOKEN_.balanceOf(address(this)) - _MT_FEE_BASE_;
                          uint256 quoteBalance = _QUOTE_TOKEN_.balanceOf(address(this)) - _MT_FEE_QUOTE_;
                          // The total shares of GSP
                          uint256 totalShares = totalSupply;
                          // The amount of baseToken and quoteToken user will receive is calculated by the ratio of user's shares to total shares
                          baseAmount = baseBalance * shareAmount / totalShares;
                          quoteAmount = quoteBalance * shareAmount / totalShares;
                          
                          // The target will be updated
                          _BASE_TARGET_ = uint112(uint256(_BASE_TARGET_) - DecimalMath._divCeil((uint256(_BASE_TARGET_) * (shareAmount)), totalShares));
                          _QUOTE_TARGET_ = uint112(uint256(_QUOTE_TARGET_) - DecimalMath._divCeil((uint256(_QUOTE_TARGET_) * (shareAmount)), totalShares));
                          
                          // The calculated baseToken and quoteToken amount should geater than minBaseToken and minQuoteToken
                          require(
                              baseAmount >= baseMinAmount && quoteAmount >= quoteMinAmount,
                              "WITHDRAW_NOT_ENOUGH"
                          );
                          // The shares will be burned from user
                          // The baseToken and quoteToken will be transferred to user
                          // The reserve will be synced
                          _burn(msg.sender, shareAmount);
                          _transferBaseOut(to, baseAmount);
                          _transferQuoteOut(to, quoteAmount);
                          _sync();
                          // If the data is not empty, the callee contract will be called
                          if (data.length > 0) {
                              //Same as DVM 
                              IDODOCallee(to).DVMSellShareCall(
                                  msg.sender,
                                  shareAmount,
                                  baseAmount,
                                  quoteAmount,
                                  data
                              );
                          }
                          emit SellShares(msg.sender, to, shareAmount, _SHARES_[msg.sender]);
                      }
                  }
                  /*
                      Copyright 2020 DODO ZOO.
                      SPDX-License-Identifier: Apache-2.0
                  */
                  pragma solidity 0.8.16;
                  import {GSPVault} from "./GSPVault.sol";
                  import {DecimalMath} from "../../lib/DecimalMath.sol";
                  import {PMMPricing} from "../../lib/PMMPricing.sol";
                  import {IDODOCallee} from "../../intf/IDODOCallee.sol";
                  /// @notice this contract deal with swap
                  contract GSPTrader is GSPVault {
                      // ============ Events ============
                      event DODOSwap(
                          address fromToken,
                          address toToken,
                          uint256 fromAmount,
                          uint256 toAmount,
                          address trader,
                          address receiver
                      );
                      event DODOFlashLoan(address borrower, address assetTo, uint256 baseAmount, uint256 quoteAmount);
                      event RChange(PMMPricing.RState newRState);
                      // ============ Trade Functions ============
                      /**
                       * @notice User sell base tokens, user pay tokens first. Must be used with a router
                       * @dev The base token balance is the actual balance minus the mt fee
                       * @param to The recipient of the output
                       * @return receiveQuoteAmount Amount of quote token received
                       */
                      function sellBase(address to) external nonReentrant returns (uint256 receiveQuoteAmount) {
                          uint256 baseBalance = _BASE_TOKEN_.balanceOf(address(this)) - _MT_FEE_BASE_;
                          uint256 baseInput = baseBalance - uint256(_BASE_RESERVE_);
                          uint256 mtFee;
                          uint256 newBaseTarget;
                          PMMPricing.RState newRState;
                          // calculate the amount of quote token to receive and mt fee
                          (receiveQuoteAmount, mtFee, newRState, newBaseTarget) = querySellBase(tx.origin, baseInput);
                          // transfer quote token to recipient
                          _transferQuoteOut(to, receiveQuoteAmount);
                          // update mt fee in quote token
                          _MT_FEE_QUOTE_ = _MT_FEE_QUOTE_ + mtFee;
                          
                          // update TARGET
                          if (_RState_ != uint32(newRState)) {    
                              require(newBaseTarget <= type(uint112).max, "OVERFLOW");
                              _BASE_TARGET_ = uint112(newBaseTarget);
                              _RState_ = uint32(newRState);
                              emit RChange(newRState);
                          }
                          // update reserve
                          _setReserve(baseBalance, _QUOTE_TOKEN_.balanceOf(address(this)) - _MT_FEE_QUOTE_);
                          emit DODOSwap(
                              address(_BASE_TOKEN_),
                              address(_QUOTE_TOKEN_),
                              baseInput,
                              receiveQuoteAmount,
                              msg.sender,
                              to
                          );
                      }
                      /**
                       * @notice User sell quote tokens, user pay tokens first. Must be used with a router
                       * @param to The recipient of the output
                       * @return receiveBaseAmount Amount of base token received
                       */
                      function sellQuote(address to) external nonReentrant returns (uint256 receiveBaseAmount) {
                          uint256 quoteBalance = _QUOTE_TOKEN_.balanceOf(address(this)) - _MT_FEE_QUOTE_;
                          uint256 quoteInput = quoteBalance - uint256(_QUOTE_RESERVE_);
                          uint256 mtFee;
                          uint256 newQuoteTarget;
                          PMMPricing.RState newRState;
                          // calculate the amount of base token to receive and mt fee
                          (receiveBaseAmount, mtFee, newRState, newQuoteTarget) = querySellQuote(
                              tx.origin,
                              quoteInput
                          );
                          // transfer base token to recipient
                          _transferBaseOut(to, receiveBaseAmount);
                          // update mt fee in base token
                          _MT_FEE_BASE_ = _MT_FEE_BASE_ + mtFee;
                          // update TARGET
                          if (_RState_ != uint32(newRState)) {
                              require(newQuoteTarget <= type(uint112).max, "OVERFLOW");
                              _QUOTE_TARGET_ = uint112(newQuoteTarget);
                              _RState_ = uint32(newRState);
                              emit RChange(newRState);
                          }
                          // update reserve
                          _setReserve((_BASE_TOKEN_.balanceOf(address(this)) - _MT_FEE_BASE_), quoteBalance);
                          emit DODOSwap(
                              address(_QUOTE_TOKEN_),
                              address(_BASE_TOKEN_),
                              quoteInput,
                              receiveBaseAmount,
                              msg.sender,
                              to
                          );
                      }
                      /**
                       * @notice inner flashloan, pay tokens out first, call external contract and check tokens left
                       * @param baseAmount The base token amount user require
                       * @param quoteAmount The quote token amount user require
                       * @param assetTo The address who uses above tokens
                       * @param data The external contract's callData
                       */
                      function flashLoan(
                          uint256 baseAmount,
                          uint256 quoteAmount,
                          address assetTo,
                          bytes calldata data
                      ) external nonReentrant {
                          _transferBaseOut(assetTo, baseAmount);
                          _transferQuoteOut(assetTo, quoteAmount);
                          if (data.length > 0)
                              IDODOCallee(assetTo).DSPFlashLoanCall(msg.sender, baseAmount, quoteAmount, data);
                          uint256 baseBalance = _BASE_TOKEN_.balanceOf(address(this)) - _MT_FEE_BASE_;
                          uint256 quoteBalance = _QUOTE_TOKEN_.balanceOf(address(this)) - _MT_FEE_QUOTE_;
                          // no input -> pure loss
                          require(
                              baseBalance >= _BASE_RESERVE_ || quoteBalance >= _QUOTE_RESERVE_,
                              "FLASH_LOAN_FAILED"
                          );
                          // sell quote case
                          // quote input + base output
                          if (baseBalance < _BASE_RESERVE_) {
                              uint256 quoteInput = quoteBalance - uint256(_QUOTE_RESERVE_);
                              (
                                  uint256 receiveBaseAmount,
                                  uint256 mtFee,
                                  PMMPricing.RState newRState,
                                  uint256 newQuoteTarget
                              ) = querySellQuote(tx.origin, quoteInput); // revert if quoteBalance<quoteReserve
                              require(
                                  (uint256(_BASE_RESERVE_) - baseBalance) <= receiveBaseAmount,
                                  "FLASH_LOAN_FAILED"
                              );
                              
                              _MT_FEE_BASE_ = _MT_FEE_BASE_ + mtFee;
                              
                              if (_RState_ != uint32(newRState)) {
                                  require(newQuoteTarget <= type(uint112).max, "OVERFLOW");
                                  _QUOTE_TARGET_ = uint112(newQuoteTarget);
                                  _RState_ = uint32(newRState);
                                  emit RChange(newRState);
                              }
                              emit DODOSwap(
                                  address(_QUOTE_TOKEN_),
                                  address(_BASE_TOKEN_),
                                  quoteInput,
                                  receiveBaseAmount,
                                  msg.sender,
                                  assetTo
                              );
                          }
                          // sell base case
                          // base input + quote output
                          if (quoteBalance < _QUOTE_RESERVE_) {
                              uint256 baseInput = baseBalance - uint256(_BASE_RESERVE_);
                              (
                                  uint256 receiveQuoteAmount,
                                  uint256 mtFee,
                                  PMMPricing.RState newRState,
                                  uint256 newBaseTarget
                              ) = querySellBase(tx.origin, baseInput); // revert if baseBalance<baseReserve
                              require(
                                  (uint256(_QUOTE_RESERVE_) - quoteBalance) <= receiveQuoteAmount,
                                  "FLASH_LOAN_FAILED"
                              );
                              _MT_FEE_QUOTE_ = _MT_FEE_QUOTE_ + mtFee;
                              
                              if (_RState_ != uint32(newRState)) {
                                  require(newBaseTarget <= type(uint112).max, "OVERFLOW");
                                  _BASE_TARGET_ = uint112(newBaseTarget);
                                  _RState_ = uint32(newRState);
                                  emit RChange(newRState);
                              }
                              emit DODOSwap(
                                  address(_BASE_TOKEN_),
                                  address(_QUOTE_TOKEN_),
                                  baseInput,
                                  receiveQuoteAmount,
                                  msg.sender,
                                  assetTo
                              );
                          }
                          _sync();
                          emit DODOFlashLoan(msg.sender, assetTo, baseAmount, quoteAmount);
                      }
                      // ============ Query Functions ============
                      /**
                       * @notice Return swap result, for query, sellBase side. 
                       * @param trader Useless, just to keep the same interface with old version pool
                       * @param payBaseAmount The amount of base token user want to sell
                       * @return receiveQuoteAmount The amount of quote token user will receive
                       * @return mtFee The amount of mt fee charged
                       * @return newRState The new RState after swap
                       * @return newBaseTarget The new base target after swap
                       */
                      function querySellBase(address trader, uint256 payBaseAmount)
                          public
                          view
                          returns (
                              uint256 receiveQuoteAmount,
                              uint256 mtFee,
                              PMMPricing.RState newRState,
                              uint256 newBaseTarget
                          )
                      {
                          PMMPricing.PMMState memory state = getPMMState();
                          (receiveQuoteAmount, newRState) = PMMPricing.sellBaseToken(state, payBaseAmount);
                          uint256 lpFeeRate = _LP_FEE_RATE_;
                          uint256 mtFeeRate = _MT_FEE_RATE_;
                          mtFee = DecimalMath.mulFloor(receiveQuoteAmount, mtFeeRate);
                          receiveQuoteAmount = receiveQuoteAmount
                              - DecimalMath.mulFloor(receiveQuoteAmount, lpFeeRate)
                              - mtFee;
                          newBaseTarget = state.B0;
                      }
                      /**
                       * @notice Return swap result, for query, sellQuote side
                       * @param trader Useless, just for keeping the same interface with old version pool
                       * @param payQuoteAmount The amount of quote token user want to sell
                       * @return receiveBaseAmount The amount of base token user will receive
                       * @return mtFee The amount of mt fee charged
                       * @return newRState The new RState after swap
                       * @return newQuoteTarget The new quote target after swap
                       */
                      function querySellQuote(address trader, uint256 payQuoteAmount)
                          public
                          view
                          returns (
                              uint256 receiveBaseAmount,
                              uint256 mtFee,
                              PMMPricing.RState newRState,
                              uint256 newQuoteTarget
                          )
                      {
                          PMMPricing.PMMState memory state = getPMMState();
                          (receiveBaseAmount, newRState) = PMMPricing.sellQuoteToken(state, payQuoteAmount);
                          uint256 lpFeeRate = _LP_FEE_RATE_;
                          uint256 mtFeeRate = _MT_FEE_RATE_;
                          mtFee = DecimalMath.mulFloor(receiveBaseAmount, mtFeeRate);
                          receiveBaseAmount = receiveBaseAmount
                              - DecimalMath.mulFloor(receiveBaseAmount, lpFeeRate)
                              - mtFee;
                          newQuoteTarget = state.Q0;
                      }
                  }
                  // SPDX-License-Identifier: MIT
                  // OpenZeppelin Contracts v4.4.1 (token/ERC20/extensions/IERC20Metadata.sol)
                  pragma solidity ^0.8.0;
                  import "../IERC20.sol";
                  /**
                   * @dev Interface for the optional metadata functions from the ERC20 standard.
                   *
                   * _Available since v4.1._
                   */
                  interface IERC20Metadata is IERC20 {
                      /**
                       * @dev Returns the name of the token.
                       */
                      function name() external view returns (string memory);
                      /**
                       * @dev Returns the symbol of the token.
                       */
                      function symbol() external view returns (string memory);
                      /**
                       * @dev Returns the decimals places of the token.
                       */
                      function decimals() external view returns (uint8);
                  }
                  // SPDX-License-Identifier: MIT
                  // OpenZeppelin Contracts (last updated v4.9.0) (token/ERC20/IERC20.sol)
                  pragma solidity ^0.8.0;
                  /**
                   * @dev Interface of the ERC20 standard as defined in the EIP.
                   */
                  interface IERC20 {
                      /**
                       * @dev Emitted when `value` tokens are moved from one account (`from`) to
                       * another (`to`).
                       *
                       * Note that `value` may be zero.
                       */
                      event Transfer(address indexed from, address indexed to, uint256 value);
                      /**
                       * @dev Emitted when the allowance of a `spender` for an `owner` is set by
                       * a call to {approve}. `value` is the new allowance.
                       */
                      event Approval(address indexed owner, address indexed spender, uint256 value);
                      /**
                       * @dev Returns the amount of tokens in existence.
                       */
                      function totalSupply() external view returns (uint256);
                      /**
                       * @dev Returns the amount of tokens owned by `account`.
                       */
                      function balanceOf(address account) external view returns (uint256);
                      /**
                       * @dev Moves `amount` tokens from the caller's account to `to`.
                       *
                       * Returns a boolean value indicating whether the operation succeeded.
                       *
                       * Emits a {Transfer} event.
                       */
                      function transfer(address to, uint256 amount) external returns (bool);
                      /**
                       * @dev Returns the remaining number of tokens that `spender` will be
                       * allowed to spend on behalf of `owner` through {transferFrom}. This is
                       * zero by default.
                       *
                       * This value changes when {approve} or {transferFrom} are called.
                       */
                      function allowance(address owner, address spender) external view returns (uint256);
                      /**
                       * @dev Sets `amount` as the allowance of `spender` over the caller's tokens.
                       *
                       * Returns a boolean value indicating whether the operation succeeded.
                       *
                       * IMPORTANT: Beware that changing an allowance with this method brings the risk
                       * that someone may use both the old and the new allowance by unfortunate
                       * transaction ordering. One possible solution to mitigate this race
                       * condition is to first reduce the spender's allowance to 0 and set the
                       * desired value afterwards:
                       * https://github.com/ethereum/EIPs/issues/20#issuecomment-263524729
                       *
                       * Emits an {Approval} event.
                       */
                      function approve(address spender, uint256 amount) external returns (bool);
                      /**
                       * @dev Moves `amount` tokens from `from` to `to` using the
                       * allowance mechanism. `amount` is then deducted from the caller's
                       * allowance.
                       *
                       * Returns a boolean value indicating whether the operation succeeded.
                       *
                       * Emits a {Transfer} event.
                       */
                      function transferFrom(address from, address to, uint256 amount) external returns (bool);
                  }
                  /*
                      Copyright 2020 DODO ZOO.
                      SPDX-License-Identifier: Apache-2.0
                  */
                  pragma solidity 0.8.16;
                  import {DODOMath} from "../../lib/DODOMath.sol";
                  import {DecimalMath} from "../../lib/DecimalMath.sol";
                  import {IERC20} from "@openzeppelin/contracts/token/ERC20/IERC20.sol";
                  import {ReentrancyGuard} from "@openzeppelin/contracts/security/ReentrancyGuard.sol";
                  import {PMMPricing} from "../../lib/PMMPricing.sol";
                  /// @notice this contract is used for store state and read state
                  contract GSPStorage is ReentrancyGuard {
                      // ============ Storage for Setup ============
                      // _GSP_INITIALIZED_ will be set to true when the init function is called
                      bool internal _GSP_INITIALIZED_;
                      // GSP does not open TWAP by default
                      // _IS_OPEN_TWAP_ can be set to true when the init function is called
                      bool public _IS_OPEN_TWAP_ = false;
                      
                      // ============ Core Address ============
                      // _MAINTAINER_ is the maintainer of GSP
                      address public _MAINTAINER_;
                      // _ADMIN_ can set price
                      address public _ADMIN_;
                      // _BASE_TOKEN_ and _QUOTE_TOKEN_ should be ERC20 token
                      IERC20 public _BASE_TOKEN_;
                      IERC20 public _QUOTE_TOKEN_;
                      // _BASE_RESERVE_ and _QUOTE_RESERVE_ are the current reserves of the GSP
                      uint112 public _BASE_RESERVE_;
                      uint112 public _QUOTE_RESERVE_;
                      // _BLOCK_TIMESTAMP_LAST_ is used when calculating TWAP
                      uint32 public _BLOCK_TIMESTAMP_LAST_;
                      // _BASE_PRICE_CUMULATIVE_LAST_ is used when calculating TWAP
                      uint256 public _BASE_PRICE_CUMULATIVE_LAST_;
                      // _BASE_TARGET_ and _QUOTE_TARGET_ are recalculated when the pool state changes
                      uint112 public _BASE_TARGET_;
                      uint112 public _QUOTE_TARGET_;
                      // _RState_ is the current R state of the GSP
                      uint32 public _RState_;
                      // ============ Shares (ERC20) ============
                      // symbol is the symbol of the shares
                      string public symbol;
                      // decimals is the decimals of the shares
                      uint8 public decimals;
                      // name is the name of the shares
                      string public name;
                      // totalSupply is the total supply of the shares
                      uint256 public totalSupply;
                      // _SHARES_ is the mapping from account to share balance, record the share balance of each account
                      mapping(address => uint256) internal _SHARES_;
                      mapping(address => mapping(address => uint256)) internal _ALLOWED_;
                      // ================= Permit ======================
                      bytes32 public DOMAIN_SEPARATOR;
                      // keccak256("Permit(address owner,address spender,uint256 value,uint256 nonce,uint256 deadline)");
                      bytes32 public constant PERMIT_TYPEHASH =
                          0x6e71edae12b1b97f4d1f60370fef10105fa2faae0126114a169c64845d6126c9;
                      mapping(address => uint256) public nonces;
                      // ============ Variables for Pricing ============
                      // _MT_FEE_RATE_ is the fee rate of mt fee
                      uint256 public _MT_FEE_RATE_;
                      // _LP_FEE_RATE_ is the fee rate of lp fee
                      uint256 public _LP_FEE_RATE_;
                      uint256 public _K_;
                      uint256 public _I_;
                      // _PRICE_LIMIT_ is used to limit the setting range of I
                      uint256 public _PRICE_LIMIT_;
                      // ============ Mt Fee ============
                      // _MT_FEE_BASE_ represents the mt fee in base token
                      uint256 public _MT_FEE_BASE_;
                      // _MT_FEE_QUOTE_ represents the mt fee in quote token
                      uint256 public _MT_FEE_QUOTE_;
                      // _MT_FEE_RATE_MODEL_ is useless, just for compatible with old version pool
                      address public _MT_FEE_RATE_MODEL_ = address(0);
                      // ============ Helper Functions ============
                      /// @notice Return the PMM state of the pool from inner or outside
                      /// @dev B0 and Q0 are calculated in adjustedTarget
                      /// @return state The current PMM state
                      function getPMMState() public view returns (PMMPricing.PMMState memory state) {
                          state.i = _I_;
                          state.K = _K_;
                          state.B = _BASE_RESERVE_;
                          state.Q = _QUOTE_RESERVE_;
                          state.B0 = _BASE_TARGET_; // will be calculated in adjustedTarget
                          state.Q0 = _QUOTE_TARGET_;
                          state.R = PMMPricing.RState(_RState_);
                          PMMPricing.adjustedTarget(state);
                      }
                      /// @notice Return the PMM state variables used for routeHelpers
                      /// @return i The price index
                      /// @return K The K value
                      /// @return B The base token reserve
                      /// @return Q The quote token reserve
                      /// @return B0 The base token target
                      /// @return Q0 The quote token target
                      /// @return R The R state of the pool
                      function getPMMStateForCall()
                          external
                          view
                          returns (
                              uint256 i,
                              uint256 K,
                              uint256 B,
                              uint256 Q,
                              uint256 B0,
                              uint256 Q0,
                              uint256 R
                          )
                      {
                          PMMPricing.PMMState memory state = getPMMState();
                          i = state.i;
                          K = state.K;
                          B = state.B;
                          Q = state.Q;
                          B0 = state.B0;
                          Q0 = state.Q0;
                          R = uint256(state.R);
                      }
                      /// @notice Return the adjusted mid price
                      /// @return midPrice The current mid price
                      function getMidPrice() public view returns (uint256 midPrice) {
                          return PMMPricing.getMidPrice(getPMMState());
                      }
                      /// @notice Return the total mt fee maintainer can claim
                      /// @dev The total mt fee is represented in two types: in base token and in quote token
                      /// @return mtFeeBase The total mt fee in base token
                      /// @return mtFeeQuote The total mt fee in quote token
                      function getMtFeeTotal() public view returns (uint256 mtFeeBase, uint256 mtFeeQuote) {
                          mtFeeBase = _MT_FEE_BASE_;
                          mtFeeQuote = _MT_FEE_QUOTE_;
                      }
                  }
                  // SPDX-License-Identifier: MIT
                  // OpenZeppelin Contracts (last updated v4.9.3) (token/ERC20/utils/SafeERC20.sol)
                  pragma solidity ^0.8.0;
                  import "../IERC20.sol";
                  import "../extensions/IERC20Permit.sol";
                  import "../../../utils/Address.sol";
                  /**
                   * @title SafeERC20
                   * @dev Wrappers around ERC20 operations that throw on failure (when the token
                   * contract returns false). Tokens that return no value (and instead revert or
                   * throw on failure) are also supported, non-reverting calls are assumed to be
                   * successful.
                   * To use this library you can add a `using SafeERC20 for IERC20;` statement to your contract,
                   * which allows you to call the safe operations as `token.safeTransfer(...)`, etc.
                   */
                  library SafeERC20 {
                      using Address for address;
                      /**
                       * @dev Transfer `value` amount of `token` from the calling contract to `to`. If `token` returns no value,
                       * non-reverting calls are assumed to be successful.
                       */
                      function safeTransfer(IERC20 token, address to, uint256 value) internal {
                          _callOptionalReturn(token, abi.encodeWithSelector(token.transfer.selector, to, value));
                      }
                      /**
                       * @dev Transfer `value` amount of `token` from `from` to `to`, spending the approval given by `from` to the
                       * calling contract. If `token` returns no value, non-reverting calls are assumed to be successful.
                       */
                      function safeTransferFrom(IERC20 token, address from, address to, uint256 value) internal {
                          _callOptionalReturn(token, abi.encodeWithSelector(token.transferFrom.selector, from, to, value));
                      }
                      /**
                       * @dev Deprecated. This function has issues similar to the ones found in
                       * {IERC20-approve}, and its usage is discouraged.
                       *
                       * Whenever possible, use {safeIncreaseAllowance} and
                       * {safeDecreaseAllowance} instead.
                       */
                      function safeApprove(IERC20 token, address spender, uint256 value) internal {
                          // safeApprove should only be called when setting an initial allowance,
                          // or when resetting it to zero. To increase and decrease it, use
                          // 'safeIncreaseAllowance' and 'safeDecreaseAllowance'
                          require(
                              (value == 0) || (token.allowance(address(this), spender) == 0),
                              "SafeERC20: approve from non-zero to non-zero allowance"
                          );
                          _callOptionalReturn(token, abi.encodeWithSelector(token.approve.selector, spender, value));
                      }
                      /**
                       * @dev Increase the calling contract's allowance toward `spender` by `value`. If `token` returns no value,
                       * non-reverting calls are assumed to be successful.
                       */
                      function safeIncreaseAllowance(IERC20 token, address spender, uint256 value) internal {
                          uint256 oldAllowance = token.allowance(address(this), spender);
                          _callOptionalReturn(token, abi.encodeWithSelector(token.approve.selector, spender, oldAllowance + value));
                      }
                      /**
                       * @dev Decrease the calling contract's allowance toward `spender` by `value`. If `token` returns no value,
                       * non-reverting calls are assumed to be successful.
                       */
                      function safeDecreaseAllowance(IERC20 token, address spender, uint256 value) internal {
                          unchecked {
                              uint256 oldAllowance = token.allowance(address(this), spender);
                              require(oldAllowance >= value, "SafeERC20: decreased allowance below zero");
                              _callOptionalReturn(token, abi.encodeWithSelector(token.approve.selector, spender, oldAllowance - value));
                          }
                      }
                      /**
                       * @dev Set the calling contract's allowance toward `spender` to `value`. If `token` returns no value,
                       * non-reverting calls are assumed to be successful. Meant to be used with tokens that require the approval
                       * to be set to zero before setting it to a non-zero value, such as USDT.
                       */
                      function forceApprove(IERC20 token, address spender, uint256 value) internal {
                          bytes memory approvalCall = abi.encodeWithSelector(token.approve.selector, spender, value);
                          if (!_callOptionalReturnBool(token, approvalCall)) {
                              _callOptionalReturn(token, abi.encodeWithSelector(token.approve.selector, spender, 0));
                              _callOptionalReturn(token, approvalCall);
                          }
                      }
                      /**
                       * @dev Use a ERC-2612 signature to set the `owner` approval toward `spender` on `token`.
                       * Revert on invalid signature.
                       */
                      function safePermit(
                          IERC20Permit token,
                          address owner,
                          address spender,
                          uint256 value,
                          uint256 deadline,
                          uint8 v,
                          bytes32 r,
                          bytes32 s
                      ) internal {
                          uint256 nonceBefore = token.nonces(owner);
                          token.permit(owner, spender, value, deadline, v, r, s);
                          uint256 nonceAfter = token.nonces(owner);
                          require(nonceAfter == nonceBefore + 1, "SafeERC20: permit did not succeed");
                      }
                      /**
                       * @dev Imitates a Solidity high-level call (i.e. a regular function call to a contract), relaxing the requirement
                       * on the return value: the return value is optional (but if data is returned, it must not be false).
                       * @param token The token targeted by the call.
                       * @param data The call data (encoded using abi.encode or one of its variants).
                       */
                      function _callOptionalReturn(IERC20 token, bytes memory data) private {
                          // We need to perform a low level call here, to bypass Solidity's return data size checking mechanism, since
                          // we're implementing it ourselves. We use {Address-functionCall} to perform this call, which verifies that
                          // the target address contains contract code and also asserts for success in the low-level call.
                          bytes memory returndata = address(token).functionCall(data, "SafeERC20: low-level call failed");
                          require(returndata.length == 0 || abi.decode(returndata, (bool)), "SafeERC20: ERC20 operation did not succeed");
                      }
                      /**
                       * @dev Imitates a Solidity high-level call (i.e. a regular function call to a contract), relaxing the requirement
                       * on the return value: the return value is optional (but if data is returned, it must not be false).
                       * @param token The token targeted by the call.
                       * @param data The call data (encoded using abi.encode or one of its variants).
                       *
                       * This is a variant of {_callOptionalReturn} that silents catches all reverts and returns a bool instead.
                       */
                      function _callOptionalReturnBool(IERC20 token, bytes memory data) private returns (bool) {
                          // We need to perform a low level call here, to bypass Solidity's return data size checking mechanism, since
                          // we're implementing it ourselves. We cannot use {Address-functionCall} here since this should return false
                          // and not revert is the subcall reverts.
                          (bool success, bytes memory returndata) = address(token).call(data);
                          return
                              success && (returndata.length == 0 || abi.decode(returndata, (bool))) && Address.isContract(address(token));
                      }
                  }
                  /*
                      Copyright 2020 DODO ZOO.
                      SPDX-License-Identifier: Apache-2.0
                  */
                  pragma solidity 0.8.16;
                  pragma experimental ABIEncoderV2;
                  import {DecimalMath} from "../lib/DecimalMath.sol";
                  import {DODOMath} from "../lib/DODOMath.sol";
                  /**
                   * @title Pricing
                   * @author DODO Breeder
                   *
                   * @notice DODO Pricing model
                   */
                  library PMMPricing {
                      enum RState {ONE, ABOVE_ONE, BELOW_ONE}
                      struct PMMState {
                          uint256 i;
                          uint256 K;
                          uint256 B;
                          uint256 Q;
                          uint256 B0;
                          uint256 Q0;
                          RState R;
                      }
                      // ============ buy & sell ============
                      /**
                       * @notice Inner calculation based on pmm algorithm, sell base
                       * @param state The current PMM state
                       * @param payBaseAmount The amount of base token user want to sell
                       * @return receiveQuoteAmount The amount of quote token user will receive
                       * @return newR The new R status after swap
                       */
                      function sellBaseToken(PMMState memory state, uint256 payBaseAmount)
                          internal
                          pure
                          returns (uint256 receiveQuoteAmount, RState newR)
                      {
                          if (state.R == RState.ONE) {
                              // case 1: R=1
                              // R falls below one
                              receiveQuoteAmount = _ROneSellBaseToken(state, payBaseAmount);
                              newR = RState.BELOW_ONE;
                          } else if (state.R == RState.ABOVE_ONE) {
                              uint256 backToOnePayBase = state.B0 - state.B;
                              uint256 backToOneReceiveQuote = state.Q - state.Q0;
                              // case 2: R>1
                              // complex case, R status depends on trading amount
                              if (payBaseAmount < backToOnePayBase) {
                                  // case 2.1: R status do not change
                                  receiveQuoteAmount = _RAboveSellBaseToken(state, payBaseAmount);
                                  newR = RState.ABOVE_ONE;
                                  if (receiveQuoteAmount > backToOneReceiveQuote) {
                                      // [Important corner case!] may enter this branch when some precision problem happens. And consequently contribute to negative spare quote amount
                                      // to make sure spare quote>=0, mannually set receiveQuote=backToOneReceiveQuote
                                      receiveQuoteAmount = backToOneReceiveQuote;
                                  }
                              } else if (payBaseAmount == backToOnePayBase) {
                                  // case 2.2: R status changes to ONE
                                  receiveQuoteAmount = backToOneReceiveQuote;
                                  newR = RState.ONE;
                              } else {
                                  // case 2.3: R status changes to BELOW_ONE
                                  receiveQuoteAmount = backToOneReceiveQuote + (
                                      _ROneSellBaseToken(state, (payBaseAmount - backToOnePayBase))
                                  );
                                  newR = RState.BELOW_ONE;
                              }
                          } else {
                              // state.R == RState.BELOW_ONE
                              // case 3: R<1
                              receiveQuoteAmount = _RBelowSellBaseToken(state, payBaseAmount);
                              newR = RState.BELOW_ONE;
                          }
                      }
                      /**
                       * @notice Inner calculation based on pmm algorithm, sell quote
                       * @param state The current PMM state
                       * @param payQuoteAmount The amount of quote token user want to sell
                       * @return receiveBaseAmount The amount of base token user will receive
                       * @return newR The new R status after swap
                       */
                      function sellQuoteToken(PMMState memory state, uint256 payQuoteAmount)
                          internal
                          pure
                          returns (uint256 receiveBaseAmount, RState newR)
                      {
                          if (state.R == RState.ONE) {
                              receiveBaseAmount = _ROneSellQuoteToken(state, payQuoteAmount);
                              newR = RState.ABOVE_ONE;
                          } else if (state.R == RState.ABOVE_ONE) {
                              receiveBaseAmount = _RAboveSellQuoteToken(state, payQuoteAmount);
                              newR = RState.ABOVE_ONE;
                          } else {
                              uint256 backToOnePayQuote = state.Q0 - state.Q;
                              uint256 backToOneReceiveBase = state.B - state.B0;
                              if (payQuoteAmount < backToOnePayQuote) {
                                  receiveBaseAmount = _RBelowSellQuoteToken(state, payQuoteAmount); 
                                  newR = RState.BELOW_ONE;
                                  if (receiveBaseAmount > backToOneReceiveBase) {
                                      receiveBaseAmount = backToOneReceiveBase;
                                  }
                              } else if (payQuoteAmount == backToOnePayQuote) {
                                  receiveBaseAmount = backToOneReceiveBase;
                                  newR = RState.ONE;
                              } else {
                                  receiveBaseAmount = backToOneReceiveBase + (
                                      _ROneSellQuoteToken(state, payQuoteAmount - backToOnePayQuote) 
                                  );
                                  newR = RState.ABOVE_ONE;
                              }
                          }
                      }
                      // ============ R = 1 cases ============
                      function _ROneSellBaseToken(PMMState memory state, uint256 payBaseAmount)
                          internal
                          pure
                          returns (
                              uint256 // receiveQuoteToken
                          )
                      {
                          // in theory Q2 <= targetQuoteTokenAmount
                          // however when amount is close to 0, precision problems may cause Q2 > targetQuoteTokenAmount
                          return
                              DODOMath._SolveQuadraticFunctionForTrade(
                                  state.Q0,
                                  state.Q0,
                                  payBaseAmount,
                                  state.i,
                                  state.K
                              );
                      }
                      function _ROneSellQuoteToken(PMMState memory state, uint256 payQuoteAmount)
                          internal
                          pure
                          returns (
                              uint256 // receiveBaseToken
                          )
                      {
                          return
                              DODOMath._SolveQuadraticFunctionForTrade(
                                  state.B0,
                                  state.B0,
                                  payQuoteAmount,
                                  DecimalMath.reciprocalFloor(state.i),
                                  state.K
                              );
                      }
                      // ============ R < 1 cases ============
                      function _RBelowSellQuoteToken(PMMState memory state, uint256 payQuoteAmount)
                          internal
                          pure
                          returns (
                              uint256 // receiveBaseToken
                          )
                      {
                          return
                              DODOMath._GeneralIntegrate(
                                  state.Q0,
                                  state.Q + payQuoteAmount,
                                  state.Q,
                                  DecimalMath.reciprocalFloor(state.i),
                                  state.K
                              );
                      }
                      function _RBelowSellBaseToken(PMMState memory state, uint256 payBaseAmount)
                          internal
                          pure
                          returns (
                              uint256 // receiveQuoteToken
                          )
                      {
                          return
                              DODOMath._SolveQuadraticFunctionForTrade(
                                  state.Q0,
                                  state.Q,
                                  payBaseAmount,
                                  state.i,
                                  state.K
                              );
                      }
                      // ============ R > 1 cases ============
                      function _RAboveSellBaseToken(PMMState memory state, uint256 payBaseAmount)
                          internal
                          pure
                          returns (
                              uint256 // receiveQuoteToken
                          )
                      {
                          return
                              DODOMath._GeneralIntegrate(
                                  state.B0,
                                  state.B + payBaseAmount,
                                  state.B,
                                  state.i,
                                  state.K
                              );
                      }
                      function _RAboveSellQuoteToken(PMMState memory state, uint256 payQuoteAmount)
                          internal
                          pure
                          returns (
                              uint256 // receiveBaseToken
                          )
                      {
                          return
                              DODOMath._SolveQuadraticFunctionForTrade(
                                  state.B0,
                                  state.B,
                                  payQuoteAmount,
                                  DecimalMath.reciprocalFloor(state.i),
                                  state.K
                              );
                      }
                      // ============ Helper functions ============
                      function adjustedTarget(PMMState memory state) internal pure {
                          if (state.R == RState.BELOW_ONE) {
                              state.Q0 = DODOMath._SolveQuadraticFunctionForTarget(
                                  state.Q,
                                  state.B - state.B0,
                                  state.i,
                                  state.K
                              );
                          } else if (state.R == RState.ABOVE_ONE) {
                              state.B0 = DODOMath._SolveQuadraticFunctionForTarget(
                                  state.B,
                                  state.Q - state.Q0,
                                  DecimalMath.reciprocalFloor(state.i),
                                  state.K
                              );
                          }
                      }
                      function getMidPrice(PMMState memory state) internal pure returns (uint256) {
                          if (state.R == RState.BELOW_ONE) {
                              uint256 R = DecimalMath.divFloor(state.Q0 * state.Q0 / state.Q, state.Q);
                              R = DecimalMath.ONE - state.K + (DecimalMath.mulFloor(state.K, R));
                              return DecimalMath.divFloor(state.i, R);
                          } else {
                              uint256 R = DecimalMath.divFloor(state.B0 * state.B0 / state.B, state.B);
                              R = DecimalMath.ONE - state.K + (DecimalMath.mulFloor(state.K, R));
                              return DecimalMath.mulFloor(state.i, R);
                          }
                      }
                  }
                  // SPDX-License-Identifier: BUSL-1.1
                  pragma solidity 0.8.16;
                  pragma experimental ABIEncoderV2;
                  import {Math} from "@openzeppelin/contracts/utils/math/Math.sol";
                  /**
                   * @title DecimalMath
                   * @author DODO Breeder
                   *
                   * @notice Functions for fixed point number with 18 decimals
                   */
                  library DecimalMath {
                      uint256 internal constant ONE = 10 ** 18;
                      uint256 internal constant ONE2 = 10 ** 36;
                      function mul(uint256 target, uint256 d) internal pure returns (uint256) {
                          return target * d / (10 ** 18);
                      }
                      function mulFloor(uint256 target, uint256 d) internal pure returns (uint256) {
                          return target * d / (10 ** 18);
                      }
                      function mulCeil(uint256 target, uint256 d) internal pure returns (uint256) {
                          return _divCeil(target * d, 10 ** 18);
                      }
                      function div(uint256 target, uint256 d) internal pure returns (uint256) {
                          return target * (10 ** 18) / d;
                      }
                      function divFloor(uint256 target, uint256 d) internal pure returns (uint256) {
                          return target * (10 ** 18) / d;
                      }
                      function divCeil(uint256 target, uint256 d) internal pure returns (uint256) {
                          return _divCeil(target * (10 ** 18), d);
                      }
                      function reciprocalFloor(uint256 target) internal pure returns (uint256) {
                          return uint256(10 ** 36) / target;
                      }
                      function reciprocalCeil(uint256 target) internal pure returns (uint256) {
                          return _divCeil(uint256(10 ** 36), target);
                      }
                      function sqrt(uint256 target) internal pure returns (uint256) {
                          return Math.sqrt(target * ONE);
                      }
                      function powFloor(uint256 target, uint256 e) internal pure returns (uint256) {
                          if (e == 0) {
                              return 10 ** 18;
                          } else if (e == 1) {
                              return target;
                          } else {
                              uint256 p = powFloor(target, e / 2);
                              p = p * p / (10 ** 18);
                              if (e % 2 == 1) {
                                  p = p * target / (10 ** 18);
                              }
                              return p;
                          }
                      }
                      function _divCeil(uint256 a, uint256 b) internal pure returns (uint256) {
                          uint256 quotient = a / b;
                          uint256 remainder = a - quotient * b;
                          if (remainder > 0) {
                              return quotient + 1;
                          } else {
                              return quotient;
                          }
                      }
                  }
                  /*
                      Copyright 2020 DODO ZOO.
                      SPDX-License-Identifier: Apache-2.0
                  */
                  pragma solidity 0.8.16;
                  pragma experimental ABIEncoderV2;
                  interface IDODOCallee {
                      function DVMSellShareCall(
                          address sender,
                          uint256 burnShareAmount,
                          uint256 baseAmount,
                          uint256 quoteAmount,
                          bytes calldata data
                      ) external;
                      function DVMFlashLoanCall(
                          address sender,
                          uint256 baseAmount,
                          uint256 quoteAmount,
                          bytes calldata data
                      ) external;
                      function DPPFlashLoanCall(
                          address sender,
                          uint256 baseAmount,
                          uint256 quoteAmount,
                          bytes calldata data
                      ) external;
                      function DSPFlashLoanCall(
                          address sender,
                          uint256 baseAmount,
                          uint256 quoteAmount,
                          bytes calldata data
                      ) external;
                      function CPCancelCall(
                          address sender,
                          uint256 amount,
                          bytes calldata data
                      ) external;
                  \tfunction CPClaimBidCall(
                          address sender,
                          uint256 baseAmount,
                          uint256 quoteAmount,
                          bytes calldata data
                      ) external;
                      function NFTRedeemCall(
                          address payable assetTo,
                          uint256 quoteAmount,
                          bytes calldata
                      ) external;
                  }
                  // SPDX-License-Identifier: BUSL-1.1
                  pragma solidity 0.8.16;
                  pragma experimental ABIEncoderV2;
                  import {DecimalMath} from "./DecimalMath.sol";
                  import {Math} from "@openzeppelin/contracts/utils/math/Math.sol";
                  /**
                   * @title DODOMath
                   * @author DODO Breeder
                   *
                   * @notice Functions for complex calculating. Including ONE Integration and TWO Quadratic solutions
                   */
                  library DODOMath {
                      using Math for uint256;
                      /*
                          Integrate dodo curve from V1 to V2
                          require V0>=V1>=V2>0
                          res = (1-k)i(V1-V2)+ikV0*V0(1/V2-1/V1)
                          let V1-V2=delta
                          res = i*delta*(1-k+k(V0^2/V1/V2))
                          i is the price of V-res trading pair
                          support k=1 & k=0 case
                          [round down]
                      */
                      function _GeneralIntegrate(
                          uint256 V0,
                          uint256 V1,
                          uint256 V2,
                          uint256 i,
                          uint256 k
                      ) internal pure returns (uint256) {
                          require(V0 > 0, "TARGET_IS_ZERO");
                          uint256 fairAmount = i * (V1 - V2); // i*delta
                          if (k == 0) {
                              return fairAmount / DecimalMath.ONE;
                          }
                          uint256 V0V0V1V2 = DecimalMath.divFloor(V0 * V0 / V1, V2);
                          uint256 penalty = DecimalMath.mulFloor(k, V0V0V1V2); // k(V0^2/V1/V2)
                          return (DecimalMath.ONE - k + penalty) * fairAmount / DecimalMath.ONE2;
                      }
                      /*
                          Follow the integration function above
                          i*deltaB = (Q2-Q1)*(1-k+kQ0^2/Q1/Q2)
                          Assume Q2=Q0, Given Q1 and deltaB, solve Q0
                          i is the price of delta-V trading pair
                          give out target of V
                          support k=1 & k=0 case
                          [round down]
                      */
                      function _SolveQuadraticFunctionForTarget(
                          uint256 V1,
                          uint256 delta,
                          uint256 i,
                          uint256 k
                      ) internal pure returns (uint256) {
                          if (k == 0) {
                              return V1 + DecimalMath.mulFloor(i, delta);
                          }
                          // V0 = V1*(1+(sqrt-1)/2k)
                          // sqrt = √(1+4kidelta/V1)
                          // premium = 1+(sqrt-1)/2k
                          // uint256 sqrt = (4 * k).mul(i).mul(delta).div(V1).add(DecimalMath.ONE2).sqrt();
                          if (V1 == 0) {
                              return 0;
                          }
                          uint256 sqrt;
                          uint256 ki = 4 * k * i;
                          if (ki == 0) {
                              sqrt = DecimalMath.ONE;
                          } else if ((ki * delta) / ki == delta) {
                              sqrt =((ki * delta) / V1  + DecimalMath.ONE2).sqrt();
                          } else {
                              sqrt = (ki / V1 * delta + DecimalMath.ONE2).sqrt();
                          }
                          uint256 premium =
                              DecimalMath.divFloor(sqrt - DecimalMath.ONE, k * 2) + DecimalMath.ONE;
                          // V0 is greater than or equal to V1 according to the solution
                          return DecimalMath.mulFloor(V1, premium);
                      }
                      /*
                          Follow the integration expression above, we have:
                          i*deltaB = (Q2-Q1)*(1-k+kQ0^2/Q1/Q2)
                          Given Q1 and deltaB, solve Q2
                          This is a quadratic function and the standard version is
                          aQ2^2 + bQ2 + c = 0, where
                          a=1-k
                          -b=(1-k)Q1-kQ0^2/Q1+i*deltaB
                          c=-kQ0^2 
                          and Q2=(-b+sqrt(b^2+4(1-k)kQ0^2))/2(1-k)
                          note: another root is negative, abondan
                          if deltaBSig=true, then Q2>Q1, user sell Q and receive B
                          if deltaBSig=false, then Q2<Q1, user sell B and receive Q
                          return |Q1-Q2|
                          as we only support sell amount as delta, the deltaB is always negative
                          the input ideltaB is actually -ideltaB in the equation
                          i is the price of delta-V trading pair
                          support k=1 & k=0 case
                          [round down]
                      */
                      function _SolveQuadraticFunctionForTrade(
                          uint256 V0,
                          uint256 V1,
                          uint256 delta,
                          uint256 i,
                          uint256 k
                      ) internal pure returns (uint256) {
                          require(V0 > 0, "TARGET_IS_ZERO");
                          if (delta == 0) {
                              return 0;
                          }
                          if (k == 0) {
                              // why v1
                              return DecimalMath.mulFloor(i, delta) > V1 ? V1 : DecimalMath.mulFloor(i, delta);
                          }
                          if (k == DecimalMath.ONE) {
                              // if k==1
                              // Q2=Q1/(1+ideltaBQ1/Q0/Q0)
                              // temp = ideltaBQ1/Q0/Q0
                              // Q2 = Q1/(1+temp)
                              // Q1-Q2 = Q1*(1-1/(1+temp)) = Q1*(temp/(1+temp))
                              // uint256 temp = i.mul(delta).mul(V1).div(V0.mul(V0));
                              uint256 temp;
                              uint256 idelta = i * (delta);
                              if (idelta == 0) {
                                  temp = 0;
                              } else if ((idelta * V1) / idelta == V1) {
                                  temp = (idelta * V1) / (V0 * V0);
                              } else {
                                  temp = delta * (V1) / (V0) * (i) / (V0);
                              }
                              return V1 * (temp) / (temp + (DecimalMath.ONE));
                          }
                          // calculate -b value and sig
                          // b = kQ0^2/Q1-i*deltaB-(1-k)Q1
                          // part1 = (1-k)Q1 >=0
                          // part2 = kQ0^2/Q1-i*deltaB >=0
                          // bAbs = abs(part1-part2)
                          // if part1>part2 => b is negative => bSig is false
                          // if part2>part1 => b is positive => bSig is true
                          uint256 part2 = k * (V0) / (V1) * (V0) + (i * (delta)); // kQ0^2/Q1-i*deltaB
                          uint256 bAbs = (DecimalMath.ONE - k) * (V1); // (1-k)Q1
                          bool bSig;
                          if (bAbs >= part2) {
                              bAbs = bAbs - part2;
                              bSig = false;
                          } else {
                              bAbs = part2 - bAbs;
                              bSig = true;
                          }
                          bAbs = bAbs / (DecimalMath.ONE);
                          // calculate sqrt
                          uint256 squareRoot = DecimalMath.mulFloor((DecimalMath.ONE - k) * (4), DecimalMath.mulFloor(k, V0) * (V0)); // 4(1-k)kQ0^2
                          squareRoot = Math.sqrt((bAbs * bAbs) + squareRoot); // sqrt(b*b+4(1-k)kQ0*Q0)
                          // final res
                          uint256 denominator = (DecimalMath.ONE - k) * 2; // 2(1-k)
                          uint256 numerator;
                          if (bSig) {
                              numerator = squareRoot - bAbs;
                              if (numerator == 0) {
                                  revert("DODOMath: should not be 0");
                              }
                          } else {
                              numerator = bAbs + squareRoot;
                          }
                          uint256 V2 = DecimalMath.divCeil(numerator, denominator);
                          if (V2 > V1) {
                              return 0;
                          } else {
                              return V1 - V2;
                          }
                      }
                  }
                  // SPDX-License-Identifier: MIT
                  // OpenZeppelin Contracts (last updated v4.9.0) (utils/math/Math.sol)
                  pragma solidity ^0.8.0;
                  /**
                   * @dev Standard math utilities missing in the Solidity language.
                   */
                  library Math {
                      enum Rounding {
                          Down, // Toward negative infinity
                          Up, // Toward infinity
                          Zero // Toward zero
                      }
                      /**
                       * @dev Returns the largest of two numbers.
                       */
                      function max(uint256 a, uint256 b) internal pure returns (uint256) {
                          return a > b ? a : b;
                      }
                      /**
                       * @dev Returns the smallest of two numbers.
                       */
                      function min(uint256 a, uint256 b) internal pure returns (uint256) {
                          return a < b ? a : b;
                      }
                      /**
                       * @dev Returns the average of two numbers. The result is rounded towards
                       * zero.
                       */
                      function average(uint256 a, uint256 b) internal pure returns (uint256) {
                          // (a + b) / 2 can overflow.
                          return (a & b) + (a ^ b) / 2;
                      }
                      /**
                       * @dev Returns the ceiling of the division of two numbers.
                       *
                       * This differs from standard division with `/` in that it rounds up instead
                       * of rounding down.
                       */
                      function ceilDiv(uint256 a, uint256 b) internal pure returns (uint256) {
                          // (a + b - 1) / b can overflow on addition, so we distribute.
                          return a == 0 ? 0 : (a - 1) / b + 1;
                      }
                      /**
                       * @notice Calculates floor(x * y / denominator) with full precision. Throws if result overflows a uint256 or denominator == 0
                       * @dev Original credit to Remco Bloemen under MIT license (https://xn--2-umb.com/21/muldiv)
                       * with further edits by Uniswap Labs also under MIT license.
                       */
                      function mulDiv(uint256 x, uint256 y, uint256 denominator) internal pure returns (uint256 result) {
                          unchecked {
                              // 512-bit multiply [prod1 prod0] = x * y. Compute the product mod 2^256 and mod 2^256 - 1, then use
                              // use the Chinese Remainder Theorem to reconstruct the 512 bit result. The result is stored in two 256
                              // variables such that product = prod1 * 2^256 + prod0.
                              uint256 prod0; // Least significant 256 bits of the product
                              uint256 prod1; // Most significant 256 bits of the product
                              assembly {
                                  let mm := mulmod(x, y, not(0))
                                  prod0 := mul(x, y)
                                  prod1 := sub(sub(mm, prod0), lt(mm, prod0))
                              }
                              // Handle non-overflow cases, 256 by 256 division.
                              if (prod1 == 0) {
                                  // Solidity will revert if denominator == 0, unlike the div opcode on its own.
                                  // The surrounding unchecked block does not change this fact.
                                  // See https://docs.soliditylang.org/en/latest/control-structures.html#checked-or-unchecked-arithmetic.
                                  return prod0 / denominator;
                              }
                              // Make sure the result is less than 2^256. Also prevents denominator == 0.
                              require(denominator > prod1, "Math: mulDiv overflow");
                              ///////////////////////////////////////////////
                              // 512 by 256 division.
                              ///////////////////////////////////////////////
                              // Make division exact by subtracting the remainder from [prod1 prod0].
                              uint256 remainder;
                              assembly {
                                  // Compute remainder using mulmod.
                                  remainder := mulmod(x, y, denominator)
                                  // Subtract 256 bit number from 512 bit number.
                                  prod1 := sub(prod1, gt(remainder, prod0))
                                  prod0 := sub(prod0, remainder)
                              }
                              // Factor powers of two out of denominator and compute largest power of two divisor of denominator. Always >= 1.
                              // See https://cs.stackexchange.com/q/138556/92363.
                              // Does not overflow because the denominator cannot be zero at this stage in the function.
                              uint256 twos = denominator & (~denominator + 1);
                              assembly {
                                  // Divide denominator by twos.
                                  denominator := div(denominator, twos)
                                  // Divide [prod1 prod0] by twos.
                                  prod0 := div(prod0, twos)
                                  // Flip twos such that it is 2^256 / twos. If twos is zero, then it becomes one.
                                  twos := add(div(sub(0, twos), twos), 1)
                              }
                              // Shift in bits from prod1 into prod0.
                              prod0 |= prod1 * twos;
                              // Invert denominator mod 2^256. Now that denominator is an odd number, it has an inverse modulo 2^256 such
                              // that denominator * inv = 1 mod 2^256. Compute the inverse by starting with a seed that is correct for
                              // four bits. That is, denominator * inv = 1 mod 2^4.
                              uint256 inverse = (3 * denominator) ^ 2;
                              // Use the Newton-Raphson iteration to improve the precision. Thanks to Hensel's lifting lemma, this also works
                              // in modular arithmetic, doubling the correct bits in each step.
                              inverse *= 2 - denominator * inverse; // inverse mod 2^8
                              inverse *= 2 - denominator * inverse; // inverse mod 2^16
                              inverse *= 2 - denominator * inverse; // inverse mod 2^32
                              inverse *= 2 - denominator * inverse; // inverse mod 2^64
                              inverse *= 2 - denominator * inverse; // inverse mod 2^128
                              inverse *= 2 - denominator * inverse; // inverse mod 2^256
                              // Because the division is now exact we can divide by multiplying with the modular inverse of denominator.
                              // This will give us the correct result modulo 2^256. Since the preconditions guarantee that the outcome is
                              // less than 2^256, this is the final result. We don't need to compute the high bits of the result and prod1
                              // is no longer required.
                              result = prod0 * inverse;
                              return result;
                          }
                      }
                      /**
                       * @notice Calculates x * y / denominator with full precision, following the selected rounding direction.
                       */
                      function mulDiv(uint256 x, uint256 y, uint256 denominator, Rounding rounding) internal pure returns (uint256) {
                          uint256 result = mulDiv(x, y, denominator);
                          if (rounding == Rounding.Up && mulmod(x, y, denominator) > 0) {
                              result += 1;
                          }
                          return result;
                      }
                      /**
                       * @dev Returns the square root of a number. If the number is not a perfect square, the value is rounded down.
                       *
                       * Inspired by Henry S. Warren, Jr.'s "Hacker's Delight" (Chapter 11).
                       */
                      function sqrt(uint256 a) internal pure returns (uint256) {
                          if (a == 0) {
                              return 0;
                          }
                          // For our first guess, we get the biggest power of 2 which is smaller than the square root of the target.
                          //
                          // We know that the "msb" (most significant bit) of our target number `a` is a power of 2 such that we have
                          // `msb(a) <= a < 2*msb(a)`. This value can be written `msb(a)=2**k` with `k=log2(a)`.
                          //
                          // This can be rewritten `2**log2(a) <= a < 2**(log2(a) + 1)`
                          // → `sqrt(2**k) <= sqrt(a) < sqrt(2**(k+1))`
                          // → `2**(k/2) <= sqrt(a) < 2**((k+1)/2) <= 2**(k/2 + 1)`
                          //
                          // Consequently, `2**(log2(a) / 2)` is a good first approximation of `sqrt(a)` with at least 1 correct bit.
                          uint256 result = 1 << (log2(a) >> 1);
                          // At this point `result` is an estimation with one bit of precision. We know the true value is a uint128,
                          // since it is the square root of a uint256. Newton's method converges quadratically (precision doubles at
                          // every iteration). We thus need at most 7 iteration to turn our partial result with one bit of precision
                          // into the expected uint128 result.
                          unchecked {
                              result = (result + a / result) >> 1;
                              result = (result + a / result) >> 1;
                              result = (result + a / result) >> 1;
                              result = (result + a / result) >> 1;
                              result = (result + a / result) >> 1;
                              result = (result + a / result) >> 1;
                              result = (result + a / result) >> 1;
                              return min(result, a / result);
                          }
                      }
                      /**
                       * @notice Calculates sqrt(a), following the selected rounding direction.
                       */
                      function sqrt(uint256 a, Rounding rounding) internal pure returns (uint256) {
                          unchecked {
                              uint256 result = sqrt(a);
                              return result + (rounding == Rounding.Up && result * result < a ? 1 : 0);
                          }
                      }
                      /**
                       * @dev Return the log in base 2, rounded down, of a positive value.
                       * Returns 0 if given 0.
                       */
                      function log2(uint256 value) internal pure returns (uint256) {
                          uint256 result = 0;
                          unchecked {
                              if (value >> 128 > 0) {
                                  value >>= 128;
                                  result += 128;
                              }
                              if (value >> 64 > 0) {
                                  value >>= 64;
                                  result += 64;
                              }
                              if (value >> 32 > 0) {
                                  value >>= 32;
                                  result += 32;
                              }
                              if (value >> 16 > 0) {
                                  value >>= 16;
                                  result += 16;
                              }
                              if (value >> 8 > 0) {
                                  value >>= 8;
                                  result += 8;
                              }
                              if (value >> 4 > 0) {
                                  value >>= 4;
                                  result += 4;
                              }
                              if (value >> 2 > 0) {
                                  value >>= 2;
                                  result += 2;
                              }
                              if (value >> 1 > 0) {
                                  result += 1;
                              }
                          }
                          return result;
                      }
                      /**
                       * @dev Return the log in base 2, following the selected rounding direction, of a positive value.
                       * Returns 0 if given 0.
                       */
                      function log2(uint256 value, Rounding rounding) internal pure returns (uint256) {
                          unchecked {
                              uint256 result = log2(value);
                              return result + (rounding == Rounding.Up && 1 << result < value ? 1 : 0);
                          }
                      }
                      /**
                       * @dev Return the log in base 10, rounded down, of a positive value.
                       * Returns 0 if given 0.
                       */
                      function log10(uint256 value) internal pure returns (uint256) {
                          uint256 result = 0;
                          unchecked {
                              if (value >= 10 ** 64) {
                                  value /= 10 ** 64;
                                  result += 64;
                              }
                              if (value >= 10 ** 32) {
                                  value /= 10 ** 32;
                                  result += 32;
                              }
                              if (value >= 10 ** 16) {
                                  value /= 10 ** 16;
                                  result += 16;
                              }
                              if (value >= 10 ** 8) {
                                  value /= 10 ** 8;
                                  result += 8;
                              }
                              if (value >= 10 ** 4) {
                                  value /= 10 ** 4;
                                  result += 4;
                              }
                              if (value >= 10 ** 2) {
                                  value /= 10 ** 2;
                                  result += 2;
                              }
                              if (value >= 10 ** 1) {
                                  result += 1;
                              }
                          }
                          return result;
                      }
                      /**
                       * @dev Return the log in base 10, following the selected rounding direction, of a positive value.
                       * Returns 0 if given 0.
                       */
                      function log10(uint256 value, Rounding rounding) internal pure returns (uint256) {
                          unchecked {
                              uint256 result = log10(value);
                              return result + (rounding == Rounding.Up && 10 ** result < value ? 1 : 0);
                          }
                      }
                      /**
                       * @dev Return the log in base 256, rounded down, of a positive value.
                       * Returns 0 if given 0.
                       *
                       * Adding one to the result gives the number of pairs of hex symbols needed to represent `value` as a hex string.
                       */
                      function log256(uint256 value) internal pure returns (uint256) {
                          uint256 result = 0;
                          unchecked {
                              if (value >> 128 > 0) {
                                  value >>= 128;
                                  result += 16;
                              }
                              if (value >> 64 > 0) {
                                  value >>= 64;
                                  result += 8;
                              }
                              if (value >> 32 > 0) {
                                  value >>= 32;
                                  result += 4;
                              }
                              if (value >> 16 > 0) {
                                  value >>= 16;
                                  result += 2;
                              }
                              if (value >> 8 > 0) {
                                  result += 1;
                              }
                          }
                          return result;
                      }
                      /**
                       * @dev Return the log in base 256, following the selected rounding direction, of a positive value.
                       * Returns 0 if given 0.
                       */
                      function log256(uint256 value, Rounding rounding) internal pure returns (uint256) {
                          unchecked {
                              uint256 result = log256(value);
                              return result + (rounding == Rounding.Up && 1 << (result << 3) < value ? 1 : 0);
                          }
                      }
                  }
                  // SPDX-License-Identifier: MIT
                  // OpenZeppelin Contracts (last updated v4.9.0) (security/ReentrancyGuard.sol)
                  pragma solidity ^0.8.0;
                  /**
                   * @dev Contract module that helps prevent reentrant calls to a function.
                   *
                   * Inheriting from `ReentrancyGuard` will make the {nonReentrant} modifier
                   * available, which can be applied to functions to make sure there are no nested
                   * (reentrant) calls to them.
                   *
                   * Note that because there is a single `nonReentrant` guard, functions marked as
                   * `nonReentrant` may not call one another. This can be worked around by making
                   * those functions `private`, and then adding `external` `nonReentrant` entry
                   * points to them.
                   *
                   * TIP: If you would like to learn more about reentrancy and alternative ways
                   * to protect against it, check out our blog post
                   * https://blog.openzeppelin.com/reentrancy-after-istanbul/[Reentrancy After Istanbul].
                   */
                  abstract contract ReentrancyGuard {
                      // Booleans are more expensive than uint256 or any type that takes up a full
                      // word because each write operation emits an extra SLOAD to first read the
                      // slot's contents, replace the bits taken up by the boolean, and then write
                      // back. This is the compiler's defense against contract upgrades and
                      // pointer aliasing, and it cannot be disabled.
                      // The values being non-zero value makes deployment a bit more expensive,
                      // but in exchange the refund on every call to nonReentrant will be lower in
                      // amount. Since refunds are capped to a percentage of the total
                      // transaction's gas, it is best to keep them low in cases like this one, to
                      // increase the likelihood of the full refund coming into effect.
                      uint256 private constant _NOT_ENTERED = 1;
                      uint256 private constant _ENTERED = 2;
                      uint256 private _status;
                      constructor() {
                          _status = _NOT_ENTERED;
                      }
                      /**
                       * @dev Prevents a contract from calling itself, directly or indirectly.
                       * Calling a `nonReentrant` function from another `nonReentrant`
                       * function is not supported. It is possible to prevent this from happening
                       * by making the `nonReentrant` function external, and making it call a
                       * `private` function that does the actual work.
                       */
                      modifier nonReentrant() {
                          _nonReentrantBefore();
                          _;
                          _nonReentrantAfter();
                      }
                      function _nonReentrantBefore() private {
                          // On the first call to nonReentrant, _status will be _NOT_ENTERED
                          require(_status != _ENTERED, "ReentrancyGuard: reentrant call");
                          // Any calls to nonReentrant after this point will fail
                          _status = _ENTERED;
                      }
                      function _nonReentrantAfter() private {
                          // By storing the original value once again, a refund is triggered (see
                          // https://eips.ethereum.org/EIPS/eip-2200)
                          _status = _NOT_ENTERED;
                      }
                      /**
                       * @dev Returns true if the reentrancy guard is currently set to "entered", which indicates there is a
                       * `nonReentrant` function in the call stack.
                       */
                      function _reentrancyGuardEntered() internal view returns (bool) {
                          return _status == _ENTERED;
                      }
                  }
                  // SPDX-License-Identifier: MIT
                  // OpenZeppelin Contracts (last updated v4.9.0) (utils/Address.sol)
                  pragma solidity ^0.8.1;
                  /**
                   * @dev Collection of functions related to the address type
                   */
                  library Address {
                      /**
                       * @dev Returns true if `account` is a contract.
                       *
                       * [IMPORTANT]
                       * ====
                       * It is unsafe to assume that an address for which this function returns
                       * false is an externally-owned account (EOA) and not a contract.
                       *
                       * Among others, `isContract` will return false for the following
                       * types of addresses:
                       *
                       *  - an externally-owned account
                       *  - a contract in construction
                       *  - an address where a contract will be created
                       *  - an address where a contract lived, but was destroyed
                       *
                       * Furthermore, `isContract` will also return true if the target contract within
                       * the same transaction is already scheduled for destruction by `SELFDESTRUCT`,
                       * which only has an effect at the end of a transaction.
                       * ====
                       *
                       * [IMPORTANT]
                       * ====
                       * You shouldn't rely on `isContract` to protect against flash loan attacks!
                       *
                       * Preventing calls from contracts is highly discouraged. It breaks composability, breaks support for smart wallets
                       * like Gnosis Safe, and does not provide security since it can be circumvented by calling from a contract
                       * constructor.
                       * ====
                       */
                      function isContract(address account) internal view returns (bool) {
                          // This method relies on extcodesize/address.code.length, which returns 0
                          // for contracts in construction, since the code is only stored at the end
                          // of the constructor execution.
                          return account.code.length > 0;
                      }
                      /**
                       * @dev Replacement for Solidity's `transfer`: sends `amount` wei to
                       * `recipient`, forwarding all available gas and reverting on errors.
                       *
                       * https://eips.ethereum.org/EIPS/eip-1884[EIP1884] increases the gas cost
                       * of certain opcodes, possibly making contracts go over the 2300 gas limit
                       * imposed by `transfer`, making them unable to receive funds via
                       * `transfer`. {sendValue} removes this limitation.
                       *
                       * https://consensys.net/diligence/blog/2019/09/stop-using-soliditys-transfer-now/[Learn more].
                       *
                       * IMPORTANT: because control is transferred to `recipient`, care must be
                       * taken to not create reentrancy vulnerabilities. Consider using
                       * {ReentrancyGuard} or the
                       * https://solidity.readthedocs.io/en/v0.8.0/security-considerations.html#use-the-checks-effects-interactions-pattern[checks-effects-interactions pattern].
                       */
                      function sendValue(address payable recipient, uint256 amount) internal {
                          require(address(this).balance >= amount, "Address: insufficient balance");
                          (bool success, ) = recipient.call{value: amount}("");
                          require(success, "Address: unable to send value, recipient may have reverted");
                      }
                      /**
                       * @dev Performs a Solidity function call using a low level `call`. A
                       * plain `call` is an unsafe replacement for a function call: use this
                       * function instead.
                       *
                       * If `target` reverts with a revert reason, it is bubbled up by this
                       * function (like regular Solidity function calls).
                       *
                       * Returns the raw returned data. To convert to the expected return value,
                       * use https://solidity.readthedocs.io/en/latest/units-and-global-variables.html?highlight=abi.decode#abi-encoding-and-decoding-functions[`abi.decode`].
                       *
                       * Requirements:
                       *
                       * - `target` must be a contract.
                       * - calling `target` with `data` must not revert.
                       *
                       * _Available since v3.1._
                       */
                      function functionCall(address target, bytes memory data) internal returns (bytes memory) {
                          return functionCallWithValue(target, data, 0, "Address: low-level call failed");
                      }
                      /**
                       * @dev Same as {xref-Address-functionCall-address-bytes-}[`functionCall`], but with
                       * `errorMessage` as a fallback revert reason when `target` reverts.
                       *
                       * _Available since v3.1._
                       */
                      function functionCall(
                          address target,
                          bytes memory data,
                          string memory errorMessage
                      ) internal returns (bytes memory) {
                          return functionCallWithValue(target, data, 0, errorMessage);
                      }
                      /**
                       * @dev Same as {xref-Address-functionCall-address-bytes-}[`functionCall`],
                       * but also transferring `value` wei to `target`.
                       *
                       * Requirements:
                       *
                       * - the calling contract must have an ETH balance of at least `value`.
                       * - the called Solidity function must be `payable`.
                       *
                       * _Available since v3.1._
                       */
                      function functionCallWithValue(address target, bytes memory data, uint256 value) internal returns (bytes memory) {
                          return functionCallWithValue(target, data, value, "Address: low-level call with value failed");
                      }
                      /**
                       * @dev Same as {xref-Address-functionCallWithValue-address-bytes-uint256-}[`functionCallWithValue`], but
                       * with `errorMessage` as a fallback revert reason when `target` reverts.
                       *
                       * _Available since v3.1._
                       */
                      function functionCallWithValue(
                          address target,
                          bytes memory data,
                          uint256 value,
                          string memory errorMessage
                      ) internal returns (bytes memory) {
                          require(address(this).balance >= value, "Address: insufficient balance for call");
                          (bool success, bytes memory returndata) = target.call{value: value}(data);
                          return verifyCallResultFromTarget(target, success, returndata, errorMessage);
                      }
                      /**
                       * @dev Same as {xref-Address-functionCall-address-bytes-}[`functionCall`],
                       * but performing a static call.
                       *
                       * _Available since v3.3._
                       */
                      function functionStaticCall(address target, bytes memory data) internal view returns (bytes memory) {
                          return functionStaticCall(target, data, "Address: low-level static call failed");
                      }
                      /**
                       * @dev Same as {xref-Address-functionCall-address-bytes-string-}[`functionCall`],
                       * but performing a static call.
                       *
                       * _Available since v3.3._
                       */
                      function functionStaticCall(
                          address target,
                          bytes memory data,
                          string memory errorMessage
                      ) internal view returns (bytes memory) {
                          (bool success, bytes memory returndata) = target.staticcall(data);
                          return verifyCallResultFromTarget(target, success, returndata, errorMessage);
                      }
                      /**
                       * @dev Same as {xref-Address-functionCall-address-bytes-}[`functionCall`],
                       * but performing a delegate call.
                       *
                       * _Available since v3.4._
                       */
                      function functionDelegateCall(address target, bytes memory data) internal returns (bytes memory) {
                          return functionDelegateCall(target, data, "Address: low-level delegate call failed");
                      }
                      /**
                       * @dev Same as {xref-Address-functionCall-address-bytes-string-}[`functionCall`],
                       * but performing a delegate call.
                       *
                       * _Available since v3.4._
                       */
                      function functionDelegateCall(
                          address target,
                          bytes memory data,
                          string memory errorMessage
                      ) internal returns (bytes memory) {
                          (bool success, bytes memory returndata) = target.delegatecall(data);
                          return verifyCallResultFromTarget(target, success, returndata, errorMessage);
                      }
                      /**
                       * @dev Tool to verify that a low level call to smart-contract was successful, and revert (either by bubbling
                       * the revert reason or using the provided one) in case of unsuccessful call or if target was not a contract.
                       *
                       * _Available since v4.8._
                       */
                      function verifyCallResultFromTarget(
                          address target,
                          bool success,
                          bytes memory returndata,
                          string memory errorMessage
                      ) internal view returns (bytes memory) {
                          if (success) {
                              if (returndata.length == 0) {
                                  // only check isContract if the call was successful and the return data is empty
                                  // otherwise we already know that it was a contract
                                  require(isContract(target), "Address: call to non-contract");
                              }
                              return returndata;
                          } else {
                              _revert(returndata, errorMessage);
                          }
                      }
                      /**
                       * @dev Tool to verify that a low level call was successful, and revert if it wasn't, either by bubbling the
                       * revert reason or using the provided one.
                       *
                       * _Available since v4.3._
                       */
                      function verifyCallResult(
                          bool success,
                          bytes memory returndata,
                          string memory errorMessage
                      ) internal pure returns (bytes memory) {
                          if (success) {
                              return returndata;
                          } else {
                              _revert(returndata, errorMessage);
                          }
                      }
                      function _revert(bytes memory returndata, string memory errorMessage) private pure {
                          // Look for revert reason and bubble it up if present
                          if (returndata.length > 0) {
                              // The easiest way to bubble the revert reason is using memory via assembly
                              /// @solidity memory-safe-assembly
                              assembly {
                                  let returndata_size := mload(returndata)
                                  revert(add(32, returndata), returndata_size)
                              }
                          } else {
                              revert(errorMessage);
                          }
                      }
                  }
                  // SPDX-License-Identifier: MIT
                  // OpenZeppelin Contracts (last updated v4.9.0) (token/ERC20/extensions/IERC20Permit.sol)
                  pragma solidity ^0.8.0;
                  /**
                   * @dev Interface of the ERC20 Permit extension allowing approvals to be made via signatures, as defined in
                   * https://eips.ethereum.org/EIPS/eip-2612[EIP-2612].
                   *
                   * Adds the {permit} method, which can be used to change an account's ERC20 allowance (see {IERC20-allowance}) by
                   * presenting a message signed by the account. By not relying on {IERC20-approve}, the token holder account doesn't
                   * need to send a transaction, and thus is not required to hold Ether at all.
                   */
                  interface IERC20Permit {
                      /**
                       * @dev Sets `value` as the allowance of `spender` over ``owner``'s tokens,
                       * given ``owner``'s signed approval.
                       *
                       * IMPORTANT: The same issues {IERC20-approve} has related to transaction
                       * ordering also apply here.
                       *
                       * Emits an {Approval} event.
                       *
                       * Requirements:
                       *
                       * - `spender` cannot be the zero address.
                       * - `deadline` must be a timestamp in the future.
                       * - `v`, `r` and `s` must be a valid `secp256k1` signature from `owner`
                       * over the EIP712-formatted function arguments.
                       * - the signature must use ``owner``'s current nonce (see {nonces}).
                       *
                       * For more information on the signature format, see the
                       * https://eips.ethereum.org/EIPS/eip-2612#specification[relevant EIP
                       * section].
                       */
                      function permit(
                          address owner,
                          address spender,
                          uint256 value,
                          uint256 deadline,
                          uint8 v,
                          bytes32 r,
                          bytes32 s
                      ) external;
                      /**
                       * @dev Returns the current nonce for `owner`. This value must be
                       * included whenever a signature is generated for {permit}.
                       *
                       * Every successful call to {permit} increases ``owner``'s nonce by one. This
                       * prevents a signature from being used multiple times.
                       */
                      function nonces(address owner) external view returns (uint256);
                      /**
                       * @dev Returns the domain separator used in the encoding of the signature for {permit}, as defined by {EIP712}.
                       */
                      // solhint-disable-next-line func-name-mixedcase
                      function DOMAIN_SEPARATOR() external view returns (bytes32);
                  }
                  

                  File 3 of 6: TetherToken
                  pragma solidity ^0.4.17;
                  
                  /**
                   * @title SafeMath
                   * @dev Math operations with safety checks that throw on error
                   */
                  library SafeMath {
                      function mul(uint256 a, uint256 b) internal pure returns (uint256) {
                          if (a == 0) {
                              return 0;
                          }
                          uint256 c = a * b;
                          assert(c / a == b);
                          return c;
                      }
                  
                      function div(uint256 a, uint256 b) internal pure returns (uint256) {
                          // assert(b > 0); // Solidity automatically throws when dividing by 0
                          uint256 c = a / b;
                          // assert(a == b * c + a % b); // There is no case in which this doesn't hold
                          return c;
                      }
                  
                      function sub(uint256 a, uint256 b) internal pure returns (uint256) {
                          assert(b <= a);
                          return a - b;
                      }
                  
                      function add(uint256 a, uint256 b) internal pure returns (uint256) {
                          uint256 c = a + b;
                          assert(c >= a);
                          return c;
                      }
                  }
                  
                  /**
                   * @title Ownable
                   * @dev The Ownable contract has an owner address, and provides basic authorization control
                   * functions, this simplifies the implementation of "user permissions".
                   */
                  contract Ownable {
                      address public owner;
                  
                      /**
                        * @dev The Ownable constructor sets the original `owner` of the contract to the sender
                        * account.
                        */
                      function Ownable() public {
                          owner = msg.sender;
                      }
                  
                      /**
                        * @dev Throws if called by any account other than the owner.
                        */
                      modifier onlyOwner() {
                          require(msg.sender == owner);
                          _;
                      }
                  
                      /**
                      * @dev Allows the current owner to transfer control of the contract to a newOwner.
                      * @param newOwner The address to transfer ownership to.
                      */
                      function transferOwnership(address newOwner) public onlyOwner {
                          if (newOwner != address(0)) {
                              owner = newOwner;
                          }
                      }
                  
                  }
                  
                  /**
                   * @title ERC20Basic
                   * @dev Simpler version of ERC20 interface
                   * @dev see https://github.com/ethereum/EIPs/issues/20
                   */
                  contract ERC20Basic {
                      uint public _totalSupply;
                      function totalSupply() public constant returns (uint);
                      function balanceOf(address who) public constant returns (uint);
                      function transfer(address to, uint value) public;
                      event Transfer(address indexed from, address indexed to, uint value);
                  }
                  
                  /**
                   * @title ERC20 interface
                   * @dev see https://github.com/ethereum/EIPs/issues/20
                   */
                  contract ERC20 is ERC20Basic {
                      function allowance(address owner, address spender) public constant returns (uint);
                      function transferFrom(address from, address to, uint value) public;
                      function approve(address spender, uint value) public;
                      event Approval(address indexed owner, address indexed spender, uint value);
                  }
                  
                  /**
                   * @title Basic token
                   * @dev Basic version of StandardToken, with no allowances.
                   */
                  contract BasicToken is Ownable, ERC20Basic {
                      using SafeMath for uint;
                  
                      mapping(address => uint) public balances;
                  
                      // additional variables for use if transaction fees ever became necessary
                      uint public basisPointsRate = 0;
                      uint public maximumFee = 0;
                  
                      /**
                      * @dev Fix for the ERC20 short address attack.
                      */
                      modifier onlyPayloadSize(uint size) {
                          require(!(msg.data.length < size + 4));
                          _;
                      }
                  
                      /**
                      * @dev transfer token for a specified address
                      * @param _to The address to transfer to.
                      * @param _value The amount to be transferred.
                      */
                      function transfer(address _to, uint _value) public onlyPayloadSize(2 * 32) {
                          uint fee = (_value.mul(basisPointsRate)).div(10000);
                          if (fee > maximumFee) {
                              fee = maximumFee;
                          }
                          uint sendAmount = _value.sub(fee);
                          balances[msg.sender] = balances[msg.sender].sub(_value);
                          balances[_to] = balances[_to].add(sendAmount);
                          if (fee > 0) {
                              balances[owner] = balances[owner].add(fee);
                              Transfer(msg.sender, owner, fee);
                          }
                          Transfer(msg.sender, _to, sendAmount);
                      }
                  
                      /**
                      * @dev Gets the balance of the specified address.
                      * @param _owner The address to query the the balance of.
                      * @return An uint representing the amount owned by the passed address.
                      */
                      function balanceOf(address _owner) public constant returns (uint balance) {
                          return balances[_owner];
                      }
                  
                  }
                  
                  /**
                   * @title Standard ERC20 token
                   *
                   * @dev Implementation of the basic standard token.
                   * @dev https://github.com/ethereum/EIPs/issues/20
                   * @dev Based oncode by FirstBlood: https://github.com/Firstbloodio/token/blob/master/smart_contract/FirstBloodToken.sol
                   */
                  contract StandardToken is BasicToken, ERC20 {
                  
                      mapping (address => mapping (address => uint)) public allowed;
                  
                      uint public constant MAX_UINT = 2**256 - 1;
                  
                      /**
                      * @dev Transfer tokens from one address to another
                      * @param _from address The address which you want to send tokens from
                      * @param _to address The address which you want to transfer to
                      * @param _value uint the amount of tokens to be transferred
                      */
                      function transferFrom(address _from, address _to, uint _value) public onlyPayloadSize(3 * 32) {
                          var _allowance = allowed[_from][msg.sender];
                  
                          // Check is not needed because sub(_allowance, _value) will already throw if this condition is not met
                          // if (_value > _allowance) throw;
                  
                          uint fee = (_value.mul(basisPointsRate)).div(10000);
                          if (fee > maximumFee) {
                              fee = maximumFee;
                          }
                          if (_allowance < MAX_UINT) {
                              allowed[_from][msg.sender] = _allowance.sub(_value);
                          }
                          uint sendAmount = _value.sub(fee);
                          balances[_from] = balances[_from].sub(_value);
                          balances[_to] = balances[_to].add(sendAmount);
                          if (fee > 0) {
                              balances[owner] = balances[owner].add(fee);
                              Transfer(_from, owner, fee);
                          }
                          Transfer(_from, _to, sendAmount);
                      }
                  
                      /**
                      * @dev Approve the passed address to spend the specified amount of tokens on behalf of msg.sender.
                      * @param _spender The address which will spend the funds.
                      * @param _value The amount of tokens to be spent.
                      */
                      function approve(address _spender, uint _value) public onlyPayloadSize(2 * 32) {
                  
                          // To change the approve amount you first have to reduce the addresses`
                          //  allowance to zero by calling `approve(_spender, 0)` if it is not
                          //  already 0 to mitigate the race condition described here:
                          //  https://github.com/ethereum/EIPs/issues/20#issuecomment-263524729
                          require(!((_value != 0) && (allowed[msg.sender][_spender] != 0)));
                  
                          allowed[msg.sender][_spender] = _value;
                          Approval(msg.sender, _spender, _value);
                      }
                  
                      /**
                      * @dev Function to check the amount of tokens than an owner allowed to a spender.
                      * @param _owner address The address which owns the funds.
                      * @param _spender address The address which will spend the funds.
                      * @return A uint specifying the amount of tokens still available for the spender.
                      */
                      function allowance(address _owner, address _spender) public constant returns (uint remaining) {
                          return allowed[_owner][_spender];
                      }
                  
                  }
                  
                  
                  /**
                   * @title Pausable
                   * @dev Base contract which allows children to implement an emergency stop mechanism.
                   */
                  contract Pausable is Ownable {
                    event Pause();
                    event Unpause();
                  
                    bool public paused = false;
                  
                  
                    /**
                     * @dev Modifier to make a function callable only when the contract is not paused.
                     */
                    modifier whenNotPaused() {
                      require(!paused);
                      _;
                    }
                  
                    /**
                     * @dev Modifier to make a function callable only when the contract is paused.
                     */
                    modifier whenPaused() {
                      require(paused);
                      _;
                    }
                  
                    /**
                     * @dev called by the owner to pause, triggers stopped state
                     */
                    function pause() onlyOwner whenNotPaused public {
                      paused = true;
                      Pause();
                    }
                  
                    /**
                     * @dev called by the owner to unpause, returns to normal state
                     */
                    function unpause() onlyOwner whenPaused public {
                      paused = false;
                      Unpause();
                    }
                  }
                  
                  contract BlackList is Ownable, BasicToken {
                  
                      /////// Getters to allow the same blacklist to be used also by other contracts (including upgraded Tether) ///////
                      function getBlackListStatus(address _maker) external constant returns (bool) {
                          return isBlackListed[_maker];
                      }
                  
                      function getOwner() external constant returns (address) {
                          return owner;
                      }
                  
                      mapping (address => bool) public isBlackListed;
                      
                      function addBlackList (address _evilUser) public onlyOwner {
                          isBlackListed[_evilUser] = true;
                          AddedBlackList(_evilUser);
                      }
                  
                      function removeBlackList (address _clearedUser) public onlyOwner {
                          isBlackListed[_clearedUser] = false;
                          RemovedBlackList(_clearedUser);
                      }
                  
                      function destroyBlackFunds (address _blackListedUser) public onlyOwner {
                          require(isBlackListed[_blackListedUser]);
                          uint dirtyFunds = balanceOf(_blackListedUser);
                          balances[_blackListedUser] = 0;
                          _totalSupply -= dirtyFunds;
                          DestroyedBlackFunds(_blackListedUser, dirtyFunds);
                      }
                  
                      event DestroyedBlackFunds(address _blackListedUser, uint _balance);
                  
                      event AddedBlackList(address _user);
                  
                      event RemovedBlackList(address _user);
                  
                  }
                  
                  contract UpgradedStandardToken is StandardToken{
                      // those methods are called by the legacy contract
                      // and they must ensure msg.sender to be the contract address
                      function transferByLegacy(address from, address to, uint value) public;
                      function transferFromByLegacy(address sender, address from, address spender, uint value) public;
                      function approveByLegacy(address from, address spender, uint value) public;
                  }
                  
                  contract TetherToken is Pausable, StandardToken, BlackList {
                  
                      string public name;
                      string public symbol;
                      uint public decimals;
                      address public upgradedAddress;
                      bool public deprecated;
                  
                      //  The contract can be initialized with a number of tokens
                      //  All the tokens are deposited to the owner address
                      //
                      // @param _balance Initial supply of the contract
                      // @param _name Token Name
                      // @param _symbol Token symbol
                      // @param _decimals Token decimals
                      function TetherToken(uint _initialSupply, string _name, string _symbol, uint _decimals) public {
                          _totalSupply = _initialSupply;
                          name = _name;
                          symbol = _symbol;
                          decimals = _decimals;
                          balances[owner] = _initialSupply;
                          deprecated = false;
                      }
                  
                      // Forward ERC20 methods to upgraded contract if this one is deprecated
                      function transfer(address _to, uint _value) public whenNotPaused {
                          require(!isBlackListed[msg.sender]);
                          if (deprecated) {
                              return UpgradedStandardToken(upgradedAddress).transferByLegacy(msg.sender, _to, _value);
                          } else {
                              return super.transfer(_to, _value);
                          }
                      }
                  
                      // Forward ERC20 methods to upgraded contract if this one is deprecated
                      function transferFrom(address _from, address _to, uint _value) public whenNotPaused {
                          require(!isBlackListed[_from]);
                          if (deprecated) {
                              return UpgradedStandardToken(upgradedAddress).transferFromByLegacy(msg.sender, _from, _to, _value);
                          } else {
                              return super.transferFrom(_from, _to, _value);
                          }
                      }
                  
                      // Forward ERC20 methods to upgraded contract if this one is deprecated
                      function balanceOf(address who) public constant returns (uint) {
                          if (deprecated) {
                              return UpgradedStandardToken(upgradedAddress).balanceOf(who);
                          } else {
                              return super.balanceOf(who);
                          }
                      }
                  
                      // Forward ERC20 methods to upgraded contract if this one is deprecated
                      function approve(address _spender, uint _value) public onlyPayloadSize(2 * 32) {
                          if (deprecated) {
                              return UpgradedStandardToken(upgradedAddress).approveByLegacy(msg.sender, _spender, _value);
                          } else {
                              return super.approve(_spender, _value);
                          }
                      }
                  
                      // Forward ERC20 methods to upgraded contract if this one is deprecated
                      function allowance(address _owner, address _spender) public constant returns (uint remaining) {
                          if (deprecated) {
                              return StandardToken(upgradedAddress).allowance(_owner, _spender);
                          } else {
                              return super.allowance(_owner, _spender);
                          }
                      }
                  
                      // deprecate current contract in favour of a new one
                      function deprecate(address _upgradedAddress) public onlyOwner {
                          deprecated = true;
                          upgradedAddress = _upgradedAddress;
                          Deprecate(_upgradedAddress);
                      }
                  
                      // deprecate current contract if favour of a new one
                      function totalSupply() public constant returns (uint) {
                          if (deprecated) {
                              return StandardToken(upgradedAddress).totalSupply();
                          } else {
                              return _totalSupply;
                          }
                      }
                  
                      // Issue a new amount of tokens
                      // these tokens are deposited into the owner address
                      //
                      // @param _amount Number of tokens to be issued
                      function issue(uint amount) public onlyOwner {
                          require(_totalSupply + amount > _totalSupply);
                          require(balances[owner] + amount > balances[owner]);
                  
                          balances[owner] += amount;
                          _totalSupply += amount;
                          Issue(amount);
                      }
                  
                      // Redeem tokens.
                      // These tokens are withdrawn from the owner address
                      // if the balance must be enough to cover the redeem
                      // or the call will fail.
                      // @param _amount Number of tokens to be issued
                      function redeem(uint amount) public onlyOwner {
                          require(_totalSupply >= amount);
                          require(balances[owner] >= amount);
                  
                          _totalSupply -= amount;
                          balances[owner] -= amount;
                          Redeem(amount);
                      }
                  
                      function setParams(uint newBasisPoints, uint newMaxFee) public onlyOwner {
                          // Ensure transparency by hardcoding limit beyond which fees can never be added
                          require(newBasisPoints < 20);
                          require(newMaxFee < 50);
                  
                          basisPointsRate = newBasisPoints;
                          maximumFee = newMaxFee.mul(10**decimals);
                  
                          Params(basisPointsRate, maximumFee);
                      }
                  
                      // Called when new token are issued
                      event Issue(uint amount);
                  
                      // Called when tokens are redeemed
                      event Redeem(uint amount);
                  
                      // Called when contract is deprecated
                      event Deprecate(address newAddress);
                  
                      // Called if contract ever adds fees
                      event Params(uint feeBasisPoints, uint maxFee);
                  }

                  File 4 of 6: TokenApprove
                  /**
                   *Submitted for verification at BscScan.com on 2023-06-26
                  */
                  
                  // SPDX-License-Identifier: MIT
                  pragma solidity ^0.8.0;
                  
                  // OpenZeppelin Contracts v4.4.1 (access/Ownable.sol)
                  
                  // OpenZeppelin Contracts v4.4.1 (utils/Context.sol)
                  
                  // OpenZeppelin Contracts v4.4.1 (proxy/utils/Initializable.sol)
                  
                  // OpenZeppelin Contracts v4.4.1 (utils/Address.sol)
                  
                  /**
                   * @dev Collection of functions related to the address type
                   */
                  library AddressUpgradeable {
                      /**
                       * @dev Returns true if `account` is a contract.
                       *
                       * [IMPORTANT]
                       * ====
                       * It is unsafe to assume that an address for which this function returns
                       * false is an externally-owned account (EOA) and not a contract.
                       *
                       * Among others, `isContract` will return false for the following
                       * types of addresses:
                       *
                       *  - an externally-owned account
                       *  - a contract in construction
                       *  - an address where a contract will be created
                       *  - an address where a contract lived, but was destroyed
                       * ====
                       */
                      function isContract(address account) internal view returns (bool) {
                          // This method relies on extcodesize, which returns 0 for contracts in
                          // construction, since the code is only stored at the end of the
                          // constructor execution.
                  
                          uint256 size;
                          assembly {
                              size := extcodesize(account)
                          }
                          return size > 0;
                      }
                  
                      /**
                       * @dev Replacement for Solidity's `transfer`: sends `amount` wei to
                       * `recipient`, forwarding all available gas and reverting on errors.
                       *
                       * https://eips.ethereum.org/EIPS/eip-1884[EIP1884] increases the gas cost
                       * of certain opcodes, possibly making contracts go over the 2300 gas limit
                       * imposed by `transfer`, making them unable to receive funds via
                       * `transfer`. {sendValue} removes this limitation.
                       *
                       * https://diligence.consensys.net/posts/2019/09/stop-using-soliditys-transfer-now/[Learn more].
                       *
                       * IMPORTANT: because control is transferred to `recipient`, care must be
                       * taken to not create reentrancy vulnerabilities. Consider using
                       * {ReentrancyGuard} or the
                       * https://solidity.readthedocs.io/en/v0.5.11/security-considerations.html#use-the-checks-effects-interactions-pattern[checks-effects-interactions pattern].
                       */
                      function sendValue(address payable recipient, uint256 amount) internal {
                          require(address(this).balance >= amount, "Address: insufficient balance");
                  
                          (bool success, ) = recipient.call{value: amount}("");
                          require(success, "Address: unable to send value, recipient may have reverted");
                      }
                  
                      /**
                       * @dev Performs a Solidity function call using a low level `call`. A
                       * plain `call` is an unsafe replacement for a function call: use this
                       * function instead.
                       *
                       * If `target` reverts with a revert reason, it is bubbled up by this
                       * function (like regular Solidity function calls).
                       *
                       * Returns the raw returned data. To convert to the expected return value,
                       * use https://solidity.readthedocs.io/en/latest/units-and-global-variables.html?highlight=abi.decode#abi-encoding-and-decoding-functions[`abi.decode`].
                       *
                       * Requirements:
                       *
                       * - `target` must be a contract.
                       * - calling `target` with `data` must not revert.
                       *
                       * _Available since v3.1._
                       */
                      function functionCall(address target, bytes memory data) internal returns (bytes memory) {
                          return functionCall(target, data, "Address: low-level call failed");
                      }
                  
                      /**
                       * @dev Same as {xref-Address-functionCall-address-bytes-}[`functionCall`], but with
                       * `errorMessage` as a fallback revert reason when `target` reverts.
                       *
                       * _Available since v3.1._
                       */
                      function functionCall(
                          address target,
                          bytes memory data,
                          string memory errorMessage
                      ) internal returns (bytes memory) {
                          return functionCallWithValue(target, data, 0, errorMessage);
                      }
                  
                      /**
                       * @dev Same as {xref-Address-functionCall-address-bytes-}[`functionCall`],
                       * but also transferring `value` wei to `target`.
                       *
                       * Requirements:
                       *
                       * - the calling contract must have an ETH balance of at least `value`.
                       * - the called Solidity function must be `payable`.
                       *
                       * _Available since v3.1._
                       */
                      function functionCallWithValue(
                          address target,
                          bytes memory data,
                          uint256 value
                      ) internal returns (bytes memory) {
                          return functionCallWithValue(target, data, value, "Address: low-level call with value failed");
                      }
                  
                      /**
                       * @dev Same as {xref-Address-functionCallWithValue-address-bytes-uint256-}[`functionCallWithValue`], but
                       * with `errorMessage` as a fallback revert reason when `target` reverts.
                       *
                       * _Available since v3.1._
                       */
                      function functionCallWithValue(
                          address target,
                          bytes memory data,
                          uint256 value,
                          string memory errorMessage
                      ) internal returns (bytes memory) {
                          require(address(this).balance >= value, "Address: insufficient balance for call");
                          require(isContract(target), "Address: call to non-contract");
                  
                          (bool success, bytes memory returndata) = target.call{value: value}(data);
                          return verifyCallResult(success, returndata, errorMessage);
                      }
                  
                      /**
                       * @dev Same as {xref-Address-functionCall-address-bytes-}[`functionCall`],
                       * but performing a static call.
                       *
                       * _Available since v3.3._
                       */
                      function functionStaticCall(address target, bytes memory data) internal view returns (bytes memory) {
                          return functionStaticCall(target, data, "Address: low-level static call failed");
                      }
                  
                      /**
                       * @dev Same as {xref-Address-functionCall-address-bytes-string-}[`functionCall`],
                       * but performing a static call.
                       *
                       * _Available since v3.3._
                       */
                      function functionStaticCall(
                          address target,
                          bytes memory data,
                          string memory errorMessage
                      ) internal view returns (bytes memory) {
                          require(isContract(target), "Address: static call to non-contract");
                  
                          (bool success, bytes memory returndata) = target.staticcall(data);
                          return verifyCallResult(success, returndata, errorMessage);
                      }
                  
                      /**
                       * @dev Tool to verifies that a low level call was successful, and revert if it wasn't, either by bubbling the
                       * revert reason using the provided one.
                       *
                       * _Available since v4.3._
                       */
                      function verifyCallResult(
                          bool success,
                          bytes memory returndata,
                          string memory errorMessage
                      ) internal pure returns (bytes memory) {
                          if (success) {
                              return returndata;
                          } else {
                              // Look for revert reason and bubble it up if present
                              if (returndata.length > 0) {
                                  // The easiest way to bubble the revert reason is using memory via assembly
                  
                                  assembly {
                                      let returndata_size := mload(returndata)
                                      revert(add(32, returndata), returndata_size)
                                  }
                              } else {
                                  revert(errorMessage);
                              }
                          }
                      }
                  }
                  
                  /**
                   * @dev This is a base contract to aid in writing upgradeable contracts, or any kind of contract that will be deployed
                   * behind a proxy. Since a proxied contract can't have a constructor, it's common to move constructor logic to an
                   * external initializer function, usually called `initialize`. It then becomes necessary to protect this initializer
                   * function so it can only be called once. The {initializer} modifier provided by this contract will have this effect.
                   *
                   * TIP: To avoid leaving the proxy in an uninitialized state, the initializer function should be called as early as
                   * possible by providing the encoded function call as the `_data` argument to {ERC1967Proxy-constructor}.
                   *
                   * CAUTION: When used with inheritance, manual care must be taken to not invoke a parent initializer twice, or to ensure
                   * that all initializers are idempotent. This is not verified automatically as constructors are by Solidity.
                   *
                   * [CAUTION]
                   * ====
                   * Avoid leaving a contract uninitialized.
                   *
                   * An uninitialized contract can be taken over by an attacker. This applies to both a proxy and its implementation
                   * contract, which may impact the proxy. To initialize the implementation contract, you can either invoke the
                   * initializer manually, or you can include a constructor to automatically mark it as initialized when it is deployed:
                   *
                   * [.hljs-theme-light.nopadding]
                   * ```
                   * /// @custom:oz-upgrades-unsafe-allow constructor
                   * constructor() initializer {}
                   * ```
                   * ====
                   */
                  abstract contract Initializable {
                      /**
                       * @dev Indicates that the contract has been initialized.
                       */
                      bool private _initialized;
                  
                      /**
                       * @dev Indicates that the contract is in the process of being initialized.
                       */
                      bool private _initializing;
                  
                      /**
                       * @dev Modifier to protect an initializer function from being invoked twice.
                       */
                      modifier initializer() {
                          // If the contract is initializing we ignore whether _initialized is set in order to support multiple
                          // inheritance patterns, but we only do this in the context of a constructor, because in other contexts the
                          // contract may have been reentered.
                          require(_initializing ? _isConstructor() : !_initialized, "Initializable: contract is already initialized");
                  
                          bool isTopLevelCall = !_initializing;
                          if (isTopLevelCall) {
                              _initializing = true;
                              _initialized = true;
                          }
                  
                          _;
                  
                          if (isTopLevelCall) {
                              _initializing = false;
                          }
                      }
                  
                      /**
                       * @dev Modifier to protect an initialization function so that it can only be invoked by functions with the
                       * {initializer} modifier, directly or indirectly.
                       */
                      modifier onlyInitializing() {
                          require(_initializing, "Initializable: contract is not initializing");
                          _;
                      }
                  
                      function _isConstructor() private view returns (bool) {
                          return !AddressUpgradeable.isContract(address(this));
                      }
                  }
                  
                  /**
                   * @dev Provides information about the current execution context, including the
                   * sender of the transaction and its data. While these are generally available
                   * via msg.sender and msg.data, they should not be accessed in such a direct
                   * manner, since when dealing with meta-transactions the account sending and
                   * paying for execution may not be the actual sender (as far as an application
                   * is concerned).
                   *
                   * This contract is only required for intermediate, library-like contracts.
                   */
                  abstract contract ContextUpgradeable is Initializable {
                      function __Context_init() internal onlyInitializing {
                          __Context_init_unchained();
                      }
                  
                      function __Context_init_unchained() internal onlyInitializing {
                      }
                      function _msgSender() internal view virtual returns (address) {
                          return msg.sender;
                      }
                  
                      function _msgData() internal view virtual returns (bytes calldata) {
                          return msg.data;
                      }
                      uint256[50] private __gap;
                  }
                  
                  /**
                   * @dev Contract module which provides a basic access control mechanism, where
                   * there is an account (an owner) that can be granted exclusive access to
                   * specific functions.
                   *
                   * By default, the owner account will be the one that deploys the contract. This
                   * can later be changed with {transferOwnership}.
                   *
                   * This module is used through inheritance. It will make available the modifier
                   * `onlyOwner`, which can be applied to your functions to restrict their use to
                   * the owner.
                   */
                  abstract contract OwnableUpgradeable is Initializable, ContextUpgradeable {
                      address private _owner;
                  
                      event OwnershipTransferred(address indexed previousOwner, address indexed newOwner);
                  
                      /**
                       * @dev Initializes the contract setting the deployer as the initial owner.
                       */
                      function __Ownable_init() internal onlyInitializing {
                          __Context_init_unchained();
                          __Ownable_init_unchained();
                      }
                  
                      function __Ownable_init_unchained() internal onlyInitializing {
                          _transferOwnership(_msgSender());
                      }
                  
                      /**
                       * @dev Returns the address of the current owner.
                       */
                      function owner() public view virtual returns (address) {
                          return _owner;
                      }
                  
                      /**
                       * @dev Throws if called by any account other than the owner.
                       */
                      modifier onlyOwner() {
                          require(owner() == _msgSender(), "Ownable: caller is not the owner");
                          _;
                      }
                  
                      /**
                       * @dev Leaves the contract without owner. It will not be possible to call
                       * `onlyOwner` functions anymore. Can only be called by the current owner.
                       *
                       * NOTE: Renouncing ownership will leave the contract without an owner,
                       * thereby removing any functionality that is only available to the owner.
                       */
                      function renounceOwnership() public virtual onlyOwner {
                          _transferOwnership(address(0));
                      }
                  
                      /**
                       * @dev Transfers ownership of the contract to a new account (`newOwner`).
                       * Can only be called by the current owner.
                       */
                      function transferOwnership(address newOwner) public virtual onlyOwner {
                          require(newOwner != address(0), "Ownable: new owner is the zero address");
                          _transferOwnership(newOwner);
                      }
                  
                      /**
                       * @dev Transfers ownership of the contract to a new account (`newOwner`).
                       * Internal function without access restriction.
                       */
                      function _transferOwnership(address newOwner) internal virtual {
                          address oldOwner = _owner;
                          _owner = newOwner;
                          emit OwnershipTransferred(oldOwner, newOwner);
                      }
                      uint256[49] private __gap;
                  }
                  
                  interface IERC20 {
                      event Approval(address indexed owner, address indexed spender, uint value);
                      event Transfer(address indexed from, address indexed to, uint value);
                  
                      function name() external view returns (string memory);
                  
                      function symbol() external view returns (string memory);
                  
                      function decimals() external view returns (uint8);
                  
                      function totalSupply() external view returns (uint);
                  
                      function balanceOf(address owner) external view returns (uint);
                  
                      function allowance(address owner, address spender) external view returns (uint);
                  
                      function approve(address spender, uint value) external returns (bool);
                  
                      function transfer(address to, uint value) external returns (bool);
                  
                      function transferFrom(address from, address to, uint value) external returns (bool);
                  }
                  
                  library SafeMath {
                      uint256 constant WAD = 10 ** 18;
                      uint256 constant RAY = 10 ** 27;
                  
                      function wad() public pure returns (uint256) {
                          return WAD;
                      }
                  
                      function ray() public pure returns (uint256) {
                          return RAY;
                      }
                  
                      function add(uint256 a, uint256 b) internal pure returns (uint256) {
                          uint256 c = a + b;
                          require(c >= a, "SafeMath: addition overflow");
                  
                          return c;
                      }
                  
                      function sub(uint256 a, uint256 b) internal pure returns (uint256) {
                          return sub(a, b, "SafeMath: subtraction overflow");
                      }
                  
                      function sub(uint256 a, uint256 b, string memory errorMessage) internal pure returns (uint256) {
                          require(b <= a, errorMessage);
                          uint256 c = a - b;
                  
                          return c;
                      }
                  
                      function mul(uint256 a, uint256 b) internal pure returns (uint256) {
                          // Gas optimization: this is cheaper than requiring 'a' not being zero, but the
                          // benefit is lost if 'b' is also tested.
                          // See: https://github.com/OpenZeppelin/openzeppelin-contracts/pull/522
                          if (a == 0) {
                              return 0;
                          }
                  
                          uint256 c = a * b;
                          require(c / a == b, "SafeMath: multiplication overflow");
                  
                          return c;
                      }
                  
                      function div(uint256 a, uint256 b) internal pure returns (uint256) {
                          return div(a, b, "SafeMath: division by zero");
                      }
                  
                      function div(uint256 a, uint256 b, string memory errorMessage) internal pure returns (uint256) {
                          // Solidity only automatically asserts when dividing by 0
                          require(b > 0, errorMessage);
                          uint256 c = a / b;
                          // assert(a == b * c + a % b); // There is no case in which this doesn't hold
                  
                          return c;
                      }
                  
                      function mod(uint256 a, uint256 b) internal pure returns (uint256) {
                          return mod(a, b, "SafeMath: modulo by zero");
                      }
                  
                      function mod(uint256 a, uint256 b, string memory errorMessage) internal pure returns (uint256) {
                          require(b != 0, errorMessage);
                          return a % b;
                      }
                  
                      function min(uint256 a, uint256 b) internal pure returns (uint256) {
                          return a <= b ? a : b;
                      }
                  
                      function max(uint256 a, uint256 b) internal pure returns (uint256) {
                          return a >= b ? a : b;
                      }
                  
                      function sqrt(uint256 a) internal pure returns (uint256 b) {
                          if (a > 3) {
                              b = a;
                              uint256 x = a / 2 + 1;
                              while (x < b) {
                                  b = x;
                                  x = (a / x + x) / 2;
                              }
                          } else if (a != 0) {
                              b = 1;
                          }
                      }
                  
                      function wmul(uint256 a, uint256 b) internal pure returns (uint256) {
                          return mul(a, b) / WAD;
                      }
                  
                      function wmulRound(uint256 a, uint256 b) internal pure returns (uint256) {
                          return add(mul(a, b), WAD / 2) / WAD;
                      }
                  
                      function rmul(uint256 a, uint256 b) internal pure returns (uint256) {
                          return mul(a, b) / RAY;
                      }
                  
                      function rmulRound(uint256 a, uint256 b) internal pure returns (uint256) {
                          return add(mul(a, b), RAY / 2) / RAY;
                      }
                  
                      function wdiv(uint256 a, uint256 b) internal pure returns (uint256) {
                          return div(mul(a, WAD), b);
                      }
                  
                      function wdivRound(uint256 a, uint256 b) internal pure returns (uint256) {
                          return add(mul(a, WAD), b / 2) / b;
                      }
                  
                      function rdiv(uint256 a, uint256 b) internal pure returns (uint256) {
                          return div(mul(a, RAY), b);
                      }
                  
                      function rdivRound(uint256 a, uint256 b) internal pure returns (uint256) {
                          return add(mul(a, RAY), b / 2) / b;
                      }
                  
                      function wpow(uint256 x, uint256 n) internal pure returns (uint256) {
                          uint256 result = WAD;
                          while (n > 0) {
                              if (n % 2 != 0) {
                                  result = wmul(result, x);
                              }
                              x = wmul(x, x);
                              n /= 2;
                          }
                          return result;
                      }
                  
                      function rpow(uint256 x, uint256 n) internal pure returns (uint256) {
                          uint256 result = RAY;
                          while (n > 0) {
                              if (n % 2 != 0) {
                                  result = rmul(result, x);
                              }
                              x = rmul(x, x);
                              n /= 2;
                          }
                          return result;
                      }
                  
                      function divCeil(uint256 a, uint256 b) internal pure returns (uint256) {
                          uint256 quotient = div(a, b);
                          uint256 remainder = a - quotient * b;
                          if (remainder > 0) {
                              return quotient + 1;
                          } else {
                              return quotient;
                          }
                      }
                  }
                  
                  /**
                   * @dev Collection of functions related to the address type
                   */
                  library Address {
                      /**
                       * @dev Returns true if `account` is a contract.
                       *
                       * [IMPORTANT]
                       * ====
                       * It is unsafe to assume that an address for which this function returns
                       * false is an externally-owned account (EOA) and not a contract.
                       *
                       * Among others, `isContract` will return false for the following 
                       * types of addresses:
                       *
                       *  - an externally-owned account
                       *  - a contract in construction
                       *  - an address where a contract will be created
                       *  - an address where a contract lived, but was destroyed
                       * ====
                       */
                      function isContract(address account) internal view returns (bool) {
                          // According to EIP-1052, 0x0 is the value returned for not-yet created accounts
                          // and 0xc5d2460186f7233c927e7db2dcc703c0e500b653ca82273b7bfad8045d85a470 is returned
                          // for accounts without code, i.e. `keccak256('')`
                          bytes32 codehash;
                          bytes32 accountHash = 0xc5d2460186f7233c927e7db2dcc703c0e500b653ca82273b7bfad8045d85a470;
                          // solhint-disable-next-line no-inline-assembly
                          assembly { codehash := extcodehash(account) }
                          return (codehash != accountHash && codehash != 0x0);
                      }
                  
                      /**
                       * @dev Converts an `address` into `address payable`. Note that this is
                       * simply a type cast: the actual underlying value is not changed.
                       *
                       * _Available since v2.4.0._
                       */
                      function toPayable(address account) internal pure returns (address payable) {
                          return payable(account);
                      }
                  
                      /**
                       * @dev Replacement for Solidity's `transfer`: sends `amount` wei to
                       * `recipient`, forwarding all available gas and reverting on errors.
                       *
                       * https://eips.ethereum.org/EIPS/eip-1884[EIP1884] increases the gas cost
                       * of certain opcodes, possibly making contracts go over the 2300 gas limit
                       * imposed by `transfer`, making them unable to receive funds via
                       * `transfer`. {sendValue} removes this limitation.
                       *
                       * https://diligence.consensys.net/posts/2019/09/stop-using-soliditys-transfer-now/[Learn more].
                       *
                       * IMPORTANT: because control is transferred to `recipient`, care must be
                       * taken to not create reentrancy vulnerabilities. Consider using
                       * {ReentrancyGuard} or the
                       * https://solidity.readthedocs.io/en/v0.5.11/security-considerations.html#use-the-checks-effects-interactions-pattern[checks-effects-interactions pattern].
                       *
                       * _Available since v2.4.0._
                       */
                      function sendValue(address recipient, uint256 amount) internal {
                          require(address(this).balance >= amount, "Address: insufficient balance");
                  
                          // solhint-disable-next-line avoid-call-value
                          (bool success, ) = recipient.call{ value: amount }("");
                          require(success, "Address: unable to send value, recipient may have reverted");
                      }
                  }
                  
                  /**
                   * @title SafeERC20
                   * @dev Wrappers around ERC20 operations that throw on failure (when the token
                   * contract returns false). Tokens that return no value (and instead revert or
                   * throw on failure) are also supported, non-reverting calls are assumed to be
                   * successful.
                   * To use this library you can add a `using SafeERC20 for ERC20;` statement to your contract,
                   * which allows you to call the safe operations as `token.safeTransfer(...)`, etc.
                   */
                  library SafeERC20 {
                      using SafeMath for uint256;
                      using Address for address;
                  
                      function safeTransfer(IERC20 token, address to, uint256 value) internal {
                          callOptionalReturn(token, abi.encodeWithSelector(token.transfer.selector, to, value));
                      }
                  
                      function safeTransferFrom(IERC20 token, address from, address to, uint256 value) internal {
                          callOptionalReturn(token, abi.encodeWithSelector(token.transferFrom.selector, from, to, value));
                      }
                  
                      function safeApprove(IERC20 token, address spender, uint256 value) internal {
                          // safeApprove should only be called when setting an initial allowance,
                          // or when resetting it to zero. To increase and decrease it, use
                          // 'safeIncreaseAllowance' and 'safeDecreaseAllowance'
                          // solhint-disable-next-line max-line-length
                          require((value == 0) || (token.allowance(address(this), spender) == 0),
                              "SafeERC20: approve from non-zero to non-zero allowance"
                          );
                          callOptionalReturn(token, abi.encodeWithSelector(token.approve.selector, spender, value));
                      }
                  
                      function safeIncreaseAllowance(IERC20 token, address spender, uint256 value) internal {
                          uint256 newAllowance = token.allowance(address(this), spender).add(value);
                          callOptionalReturn(token, abi.encodeWithSelector(token.approve.selector, spender, newAllowance));
                      }
                  
                      function safeDecreaseAllowance(IERC20 token, address spender, uint256 value) internal {
                          uint256 newAllowance = token.allowance(address(this), spender).sub(value, "SafeERC20: decreased allowance below zero");
                          callOptionalReturn(token, abi.encodeWithSelector(token.approve.selector, spender, newAllowance));
                      }
                  
                      /**
                       * @dev Imitates a Solidity high-level call (i.e. a regular function call to a contract), relaxing the requirement
                       * on the return value: the return value is optional (but if data is returned, it must not be false).
                       * @param token The token targeted by the call.
                       * @param data The call data (encoded using abi.encode or one of its variants).
                       */
                      function callOptionalReturn(IERC20 token, bytes memory data) private {
                          // We need to perform a low level call here, to bypass Solidity's return data size checking mechanism, since
                          // we're implementing it ourselves.
                  
                          // A Solidity high level call has three parts:
                          //  1. The target address is checked to verify it contains contract code
                          //  2. The call itself is made, and success asserted
                          //  3. The return value is decoded, which in turn checks the size of the returned data.
                          // solhint-disable-next-line max-line-length
                          require(address(token).isContract(), "SafeERC20: call to non-contract");
                  
                          // solhint-disable-next-line avoid-low-level-calls
                          (bool success, bytes memory returndata) = address(token).call(data);
                          require(success, "SafeERC20: low-level call failed");
                  
                          if (returndata.length > 0) { // Return data is optional
                              // solhint-disable-next-line max-line-length
                              require(abi.decode(returndata, (bool)), "SafeERC20: ERC20 operation did not succeed");
                          }
                      }
                  }
                  
                  /// @title Handle authorizations in dex platform
                  /// @notice Explain to an end user what this does
                  /// @dev Explain to a developer any extra details
                  contract TokenApprove is OwnableUpgradeable {
                    using SafeERC20 for IERC20;
                  
                    address public tokenApproveProxy;
                  
                    function initialize(address _tokenApproveProxy) public initializer {
                      __Ownable_init();
                      tokenApproveProxy = _tokenApproveProxy;
                    }
                  
                    //-------------------------------
                    //------- Events ----------------
                    //-------------------------------
                  
                    event ProxyUpdate(address indexed oldProxy, address indexed newProxy);
                  
                    //-------------------------------
                    //------- Modifier --------------
                    //-------------------------------
                  
                    //--------------------------------
                    //------- Internal Functions -----
                    //--------------------------------
                  
                    //---------------------------------
                    //------- Admin functions ---------
                    //---------------------------------
                  
                    function setApproveProxy(address _newTokenApproveProxy) external onlyOwner {
                      tokenApproveProxy = _newTokenApproveProxy;
                      emit ProxyUpdate(tokenApproveProxy, _newTokenApproveProxy);
                    }
                  
                    //---------------------------------
                    //-------  Users Functions --------
                    //---------------------------------
                  
                    function claimTokens(
                      address _token,
                      address _who,
                      address _dest,
                      uint256 _amount
                    ) external {
                      require(msg.sender == tokenApproveProxy, "TokenApprove: Access restricted");
                      if (_amount > 0) {
                        IERC20(_token).safeTransferFrom(_who, _dest, _amount);
                      }
                    }
                  }

                  File 5 of 6: FiatTokenV2_2
                  /**
                   * SPDX-License-Identifier: Apache-2.0
                   *
                   * Copyright (c) 2023, Circle Internet Financial, LLC.
                   *
                   * Licensed under the Apache License, Version 2.0 (the "License");
                   * you may not use this file except in compliance with the License.
                   * You may obtain a copy of the License at
                   *
                   * http://www.apache.org/licenses/LICENSE-2.0
                   *
                   * Unless required by applicable law or agreed to in writing, software
                   * distributed under the License is distributed on an "AS IS" BASIS,
                   * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
                   * See the License for the specific language governing permissions and
                   * limitations under the License.
                   */
                  pragma solidity 0.6.12;
                  import { EIP712Domain } from "./EIP712Domain.sol"; // solhint-disable-line no-unused-import
                  import { Blacklistable } from "../v1/Blacklistable.sol"; // solhint-disable-line no-unused-import
                  import { FiatTokenV1 } from "../v1/FiatTokenV1.sol"; // solhint-disable-line no-unused-import
                  import { FiatTokenV2 } from "./FiatTokenV2.sol"; // solhint-disable-line no-unused-import
                  import { FiatTokenV2_1 } from "./FiatTokenV2_1.sol";
                  import { EIP712 } from "../util/EIP712.sol";
                  // solhint-disable func-name-mixedcase
                  /**
                   * @title FiatToken V2.2
                   * @notice ERC20 Token backed by fiat reserves, version 2.2
                   */
                  contract FiatTokenV2_2 is FiatTokenV2_1 {
                      /**
                       * @notice Initialize v2.2
                       * @param accountsToBlacklist   A list of accounts to migrate from the old blacklist
                       * @param newSymbol             New token symbol
                       * data structure to the new blacklist data structure.
                       */
                      function initializeV2_2(
                          address[] calldata accountsToBlacklist,
                          string calldata newSymbol
                      ) external {
                          // solhint-disable-next-line reason-string
                          require(_initializedVersion == 2);
                          // Update fiat token symbol
                          symbol = newSymbol;
                          // Add previously blacklisted accounts to the new blacklist data structure
                          // and remove them from the old blacklist data structure.
                          for (uint256 i = 0; i < accountsToBlacklist.length; i++) {
                              require(
                                  _deprecatedBlacklisted[accountsToBlacklist[i]],
                                  "FiatTokenV2_2: Blacklisting previously unblacklisted account!"
                              );
                              _blacklist(accountsToBlacklist[i]);
                              delete _deprecatedBlacklisted[accountsToBlacklist[i]];
                          }
                          _blacklist(address(this));
                          delete _deprecatedBlacklisted[address(this)];
                          _initializedVersion = 3;
                      }
                      /**
                       * @dev Internal function to get the current chain id.
                       * @return The current chain id.
                       */
                      function _chainId() internal virtual view returns (uint256) {
                          uint256 chainId;
                          assembly {
                              chainId := chainid()
                          }
                          return chainId;
                      }
                      /**
                       * @inheritdoc EIP712Domain
                       */
                      function _domainSeparator() internal override view returns (bytes32) {
                          return EIP712.makeDomainSeparator(name, "2", _chainId());
                      }
                      /**
                       * @notice Update allowance with a signed permit
                       * @dev EOA wallet signatures should be packed in the order of r, s, v.
                       * @param owner       Token owner's address (Authorizer)
                       * @param spender     Spender's address
                       * @param value       Amount of allowance
                       * @param deadline    The time at which the signature expires (unix time), or max uint256 value to signal no expiration
                       * @param signature   Signature bytes signed by an EOA wallet or a contract wallet
                       */
                      function permit(
                          address owner,
                          address spender,
                          uint256 value,
                          uint256 deadline,
                          bytes memory signature
                      ) external whenNotPaused {
                          _permit(owner, spender, value, deadline, signature);
                      }
                      /**
                       * @notice Execute a transfer with a signed authorization
                       * @dev EOA wallet signatures should be packed in the order of r, s, v.
                       * @param from          Payer's address (Authorizer)
                       * @param to            Payee's address
                       * @param value         Amount to be transferred
                       * @param validAfter    The time after which this is valid (unix time)
                       * @param validBefore   The time before which this is valid (unix time)
                       * @param nonce         Unique nonce
                       * @param signature     Signature bytes signed by an EOA wallet or a contract wallet
                       */
                      function transferWithAuthorization(
                          address from,
                          address to,
                          uint256 value,
                          uint256 validAfter,
                          uint256 validBefore,
                          bytes32 nonce,
                          bytes memory signature
                      ) external whenNotPaused notBlacklisted(from) notBlacklisted(to) {
                          _transferWithAuthorization(
                              from,
                              to,
                              value,
                              validAfter,
                              validBefore,
                              nonce,
                              signature
                          );
                      }
                      /**
                       * @notice Receive a transfer with a signed authorization from the payer
                       * @dev This has an additional check to ensure that the payee's address
                       * matches the caller of this function to prevent front-running attacks.
                       * EOA wallet signatures should be packed in the order of r, s, v.
                       * @param from          Payer's address (Authorizer)
                       * @param to            Payee's address
                       * @param value         Amount to be transferred
                       * @param validAfter    The time after which this is valid (unix time)
                       * @param validBefore   The time before which this is valid (unix time)
                       * @param nonce         Unique nonce
                       * @param signature     Signature bytes signed by an EOA wallet or a contract wallet
                       */
                      function receiveWithAuthorization(
                          address from,
                          address to,
                          uint256 value,
                          uint256 validAfter,
                          uint256 validBefore,
                          bytes32 nonce,
                          bytes memory signature
                      ) external whenNotPaused notBlacklisted(from) notBlacklisted(to) {
                          _receiveWithAuthorization(
                              from,
                              to,
                              value,
                              validAfter,
                              validBefore,
                              nonce,
                              signature
                          );
                      }
                      /**
                       * @notice Attempt to cancel an authorization
                       * @dev Works only if the authorization is not yet used.
                       * EOA wallet signatures should be packed in the order of r, s, v.
                       * @param authorizer    Authorizer's address
                       * @param nonce         Nonce of the authorization
                       * @param signature     Signature bytes signed by an EOA wallet or a contract wallet
                       */
                      function cancelAuthorization(
                          address authorizer,
                          bytes32 nonce,
                          bytes memory signature
                      ) external whenNotPaused {
                          _cancelAuthorization(authorizer, nonce, signature);
                      }
                      /**
                       * @dev Helper method that sets the blacklist state of an account on balanceAndBlacklistStates.
                       * If _shouldBlacklist is true, we apply a (1 << 255) bitmask with an OR operation on the
                       * account's balanceAndBlacklistState. This flips the high bit for the account to 1,
                       * indicating that the account is blacklisted.
                       *
                       * If _shouldBlacklist if false, we reset the account's balanceAndBlacklistStates to their
                       * balances. This clears the high bit for the account, indicating that the account is unblacklisted.
                       * @param _account         The address of the account.
                       * @param _shouldBlacklist True if the account should be blacklisted, false if the account should be unblacklisted.
                       */
                      function _setBlacklistState(address _account, bool _shouldBlacklist)
                          internal
                          override
                      {
                          balanceAndBlacklistStates[_account] = _shouldBlacklist
                              ? balanceAndBlacklistStates[_account] | (1 << 255)
                              : _balanceOf(_account);
                      }
                      /**
                       * @dev Helper method that sets the balance of an account on balanceAndBlacklistStates.
                       * Since balances are stored in the last 255 bits of the balanceAndBlacklistStates value,
                       * we need to ensure that the updated balance does not exceed (2^255 - 1).
                       * Since blacklisted accounts' balances cannot be updated, the method will also
                       * revert if the account is blacklisted
                       * @param _account The address of the account.
                       * @param _balance The new fiat token balance of the account (max: (2^255 - 1)).
                       */
                      function _setBalance(address _account, uint256 _balance) internal override {
                          require(
                              _balance <= ((1 << 255) - 1),
                              "FiatTokenV2_2: Balance exceeds (2^255 - 1)"
                          );
                          require(
                              !_isBlacklisted(_account),
                              "FiatTokenV2_2: Account is blacklisted"
                          );
                          balanceAndBlacklistStates[_account] = _balance;
                      }
                      /**
                       * @inheritdoc Blacklistable
                       */
                      function _isBlacklisted(address _account)
                          internal
                          override
                          view
                          returns (bool)
                      {
                          return balanceAndBlacklistStates[_account] >> 255 == 1;
                      }
                      /**
                       * @dev Helper method to obtain the balance of an account. Since balances
                       * are stored in the last 255 bits of the balanceAndBlacklistStates value,
                       * we apply a ((1 << 255) - 1) bit bitmask with an AND operation on the
                       * balanceAndBlacklistState to obtain the balance.
                       * @param _account  The address of the account.
                       * @return          The fiat token balance of the account.
                       */
                      function _balanceOf(address _account)
                          internal
                          override
                          view
                          returns (uint256)
                      {
                          return balanceAndBlacklistStates[_account] & ((1 << 255) - 1);
                      }
                      /**
                       * @inheritdoc FiatTokenV1
                       */
                      function approve(address spender, uint256 value)
                          external
                          override
                          whenNotPaused
                          returns (bool)
                      {
                          _approve(msg.sender, spender, value);
                          return true;
                      }
                      /**
                       * @inheritdoc FiatTokenV2
                       */
                      function permit(
                          address owner,
                          address spender,
                          uint256 value,
                          uint256 deadline,
                          uint8 v,
                          bytes32 r,
                          bytes32 s
                      ) external override whenNotPaused {
                          _permit(owner, spender, value, deadline, v, r, s);
                      }
                      /**
                       * @inheritdoc FiatTokenV2
                       */
                      function increaseAllowance(address spender, uint256 increment)
                          external
                          override
                          whenNotPaused
                          returns (bool)
                      {
                          _increaseAllowance(msg.sender, spender, increment);
                          return true;
                      }
                      /**
                       * @inheritdoc FiatTokenV2
                       */
                      function decreaseAllowance(address spender, uint256 decrement)
                          external
                          override
                          whenNotPaused
                          returns (bool)
                      {
                          _decreaseAllowance(msg.sender, spender, decrement);
                          return true;
                      }
                  }
                  // SPDX-License-Identifier: MIT
                  pragma solidity >=0.6.2 <0.8.0;
                  /**
                   * @dev Collection of functions related to the address type
                   */
                  library Address {
                      /**
                       * @dev Returns true if `account` is a contract.
                       *
                       * [IMPORTANT]
                       * ====
                       * It is unsafe to assume that an address for which this function returns
                       * false is an externally-owned account (EOA) and not a contract.
                       *
                       * Among others, `isContract` will return false for the following
                       * types of addresses:
                       *
                       *  - an externally-owned account
                       *  - a contract in construction
                       *  - an address where a contract will be created
                       *  - an address where a contract lived, but was destroyed
                       * ====
                       */
                      function isContract(address account) internal view returns (bool) {
                          // This method relies on extcodesize, which returns 0 for contracts in
                          // construction, since the code is only stored at the end of the
                          // constructor execution.
                          uint256 size;
                          // solhint-disable-next-line no-inline-assembly
                          assembly { size := extcodesize(account) }
                          return size > 0;
                      }
                      /**
                       * @dev Replacement for Solidity's `transfer`: sends `amount` wei to
                       * `recipient`, forwarding all available gas and reverting on errors.
                       *
                       * https://eips.ethereum.org/EIPS/eip-1884[EIP1884] increases the gas cost
                       * of certain opcodes, possibly making contracts go over the 2300 gas limit
                       * imposed by `transfer`, making them unable to receive funds via
                       * `transfer`. {sendValue} removes this limitation.
                       *
                       * https://diligence.consensys.net/posts/2019/09/stop-using-soliditys-transfer-now/[Learn more].
                       *
                       * IMPORTANT: because control is transferred to `recipient`, care must be
                       * taken to not create reentrancy vulnerabilities. Consider using
                       * {ReentrancyGuard} or the
                       * https://solidity.readthedocs.io/en/v0.5.11/security-considerations.html#use-the-checks-effects-interactions-pattern[checks-effects-interactions pattern].
                       */
                      function sendValue(address payable recipient, uint256 amount) internal {
                          require(address(this).balance >= amount, "Address: insufficient balance");
                          // solhint-disable-next-line avoid-low-level-calls, avoid-call-value
                          (bool success, ) = recipient.call{ value: amount }("");
                          require(success, "Address: unable to send value, recipient may have reverted");
                      }
                      /**
                       * @dev Performs a Solidity function call using a low level `call`. A
                       * plain`call` is an unsafe replacement for a function call: use this
                       * function instead.
                       *
                       * If `target` reverts with a revert reason, it is bubbled up by this
                       * function (like regular Solidity function calls).
                       *
                       * Returns the raw returned data. To convert to the expected return value,
                       * use https://solidity.readthedocs.io/en/latest/units-and-global-variables.html?highlight=abi.decode#abi-encoding-and-decoding-functions[`abi.decode`].
                       *
                       * Requirements:
                       *
                       * - `target` must be a contract.
                       * - calling `target` with `data` must not revert.
                       *
                       * _Available since v3.1._
                       */
                      function functionCall(address target, bytes memory data) internal returns (bytes memory) {
                        return functionCall(target, data, "Address: low-level call failed");
                      }
                      /**
                       * @dev Same as {xref-Address-functionCall-address-bytes-}[`functionCall`], but with
                       * `errorMessage` as a fallback revert reason when `target` reverts.
                       *
                       * _Available since v3.1._
                       */
                      function functionCall(address target, bytes memory data, string memory errorMessage) internal returns (bytes memory) {
                          return functionCallWithValue(target, data, 0, errorMessage);
                      }
                      /**
                       * @dev Same as {xref-Address-functionCall-address-bytes-}[`functionCall`],
                       * but also transferring `value` wei to `target`.
                       *
                       * Requirements:
                       *
                       * - the calling contract must have an ETH balance of at least `value`.
                       * - the called Solidity function must be `payable`.
                       *
                       * _Available since v3.1._
                       */
                      function functionCallWithValue(address target, bytes memory data, uint256 value) internal returns (bytes memory) {
                          return functionCallWithValue(target, data, value, "Address: low-level call with value failed");
                      }
                      /**
                       * @dev Same as {xref-Address-functionCallWithValue-address-bytes-uint256-}[`functionCallWithValue`], but
                       * with `errorMessage` as a fallback revert reason when `target` reverts.
                       *
                       * _Available since v3.1._
                       */
                      function functionCallWithValue(address target, bytes memory data, uint256 value, string memory errorMessage) internal returns (bytes memory) {
                          require(address(this).balance >= value, "Address: insufficient balance for call");
                          require(isContract(target), "Address: call to non-contract");
                          // solhint-disable-next-line avoid-low-level-calls
                          (bool success, bytes memory returndata) = target.call{ value: value }(data);
                          return _verifyCallResult(success, returndata, errorMessage);
                      }
                      /**
                       * @dev Same as {xref-Address-functionCall-address-bytes-}[`functionCall`],
                       * but performing a static call.
                       *
                       * _Available since v3.3._
                       */
                      function functionStaticCall(address target, bytes memory data) internal view returns (bytes memory) {
                          return functionStaticCall(target, data, "Address: low-level static call failed");
                      }
                      /**
                       * @dev Same as {xref-Address-functionCall-address-bytes-string-}[`functionCall`],
                       * but performing a static call.
                       *
                       * _Available since v3.3._
                       */
                      function functionStaticCall(address target, bytes memory data, string memory errorMessage) internal view returns (bytes memory) {
                          require(isContract(target), "Address: static call to non-contract");
                          // solhint-disable-next-line avoid-low-level-calls
                          (bool success, bytes memory returndata) = target.staticcall(data);
                          return _verifyCallResult(success, returndata, errorMessage);
                      }
                      /**
                       * @dev Same as {xref-Address-functionCall-address-bytes-}[`functionCall`],
                       * but performing a delegate call.
                       *
                       * _Available since v3.4._
                       */
                      function functionDelegateCall(address target, bytes memory data) internal returns (bytes memory) {
                          return functionDelegateCall(target, data, "Address: low-level delegate call failed");
                      }
                      /**
                       * @dev Same as {xref-Address-functionCall-address-bytes-string-}[`functionCall`],
                       * but performing a delegate call.
                       *
                       * _Available since v3.4._
                       */
                      function functionDelegateCall(address target, bytes memory data, string memory errorMessage) internal returns (bytes memory) {
                          require(isContract(target), "Address: delegate call to non-contract");
                          // solhint-disable-next-line avoid-low-level-calls
                          (bool success, bytes memory returndata) = target.delegatecall(data);
                          return _verifyCallResult(success, returndata, errorMessage);
                      }
                      function _verifyCallResult(bool success, bytes memory returndata, string memory errorMessage) private pure returns(bytes memory) {
                          if (success) {
                              return returndata;
                          } else {
                              // Look for revert reason and bubble it up if present
                              if (returndata.length > 0) {
                                  // The easiest way to bubble the revert reason is using memory via assembly
                                  // solhint-disable-next-line no-inline-assembly
                                  assembly {
                                      let returndata_size := mload(returndata)
                                      revert(add(32, returndata), returndata_size)
                                  }
                              } else {
                                  revert(errorMessage);
                              }
                          }
                      }
                  }
                  // SPDX-License-Identifier: MIT
                  pragma solidity >=0.6.0 <0.8.0;
                  import "./IERC20.sol";
                  import "../../math/SafeMath.sol";
                  import "../../utils/Address.sol";
                  /**
                   * @title SafeERC20
                   * @dev Wrappers around ERC20 operations that throw on failure (when the token
                   * contract returns false). Tokens that return no value (and instead revert or
                   * throw on failure) are also supported, non-reverting calls are assumed to be
                   * successful.
                   * To use this library you can add a `using SafeERC20 for IERC20;` statement to your contract,
                   * which allows you to call the safe operations as `token.safeTransfer(...)`, etc.
                   */
                  library SafeERC20 {
                      using SafeMath for uint256;
                      using Address for address;
                      function safeTransfer(IERC20 token, address to, uint256 value) internal {
                          _callOptionalReturn(token, abi.encodeWithSelector(token.transfer.selector, to, value));
                      }
                      function safeTransferFrom(IERC20 token, address from, address to, uint256 value) internal {
                          _callOptionalReturn(token, abi.encodeWithSelector(token.transferFrom.selector, from, to, value));
                      }
                      /**
                       * @dev Deprecated. This function has issues similar to the ones found in
                       * {IERC20-approve}, and its usage is discouraged.
                       *
                       * Whenever possible, use {safeIncreaseAllowance} and
                       * {safeDecreaseAllowance} instead.
                       */
                      function safeApprove(IERC20 token, address spender, uint256 value) internal {
                          // safeApprove should only be called when setting an initial allowance,
                          // or when resetting it to zero. To increase and decrease it, use
                          // 'safeIncreaseAllowance' and 'safeDecreaseAllowance'
                          // solhint-disable-next-line max-line-length
                          require((value == 0) || (token.allowance(address(this), spender) == 0),
                              "SafeERC20: approve from non-zero to non-zero allowance"
                          );
                          _callOptionalReturn(token, abi.encodeWithSelector(token.approve.selector, spender, value));
                      }
                      function safeIncreaseAllowance(IERC20 token, address spender, uint256 value) internal {
                          uint256 newAllowance = token.allowance(address(this), spender).add(value);
                          _callOptionalReturn(token, abi.encodeWithSelector(token.approve.selector, spender, newAllowance));
                      }
                      function safeDecreaseAllowance(IERC20 token, address spender, uint256 value) internal {
                          uint256 newAllowance = token.allowance(address(this), spender).sub(value, "SafeERC20: decreased allowance below zero");
                          _callOptionalReturn(token, abi.encodeWithSelector(token.approve.selector, spender, newAllowance));
                      }
                      /**
                       * @dev Imitates a Solidity high-level call (i.e. a regular function call to a contract), relaxing the requirement
                       * on the return value: the return value is optional (but if data is returned, it must not be false).
                       * @param token The token targeted by the call.
                       * @param data The call data (encoded using abi.encode or one of its variants).
                       */
                      function _callOptionalReturn(IERC20 token, bytes memory data) private {
                          // We need to perform a low level call here, to bypass Solidity's return data size checking mechanism, since
                          // we're implementing it ourselves. We use {Address.functionCall} to perform this call, which verifies that
                          // the target address contains contract code and also asserts for success in the low-level call.
                          bytes memory returndata = address(token).functionCall(data, "SafeERC20: low-level call failed");
                          if (returndata.length > 0) { // Return data is optional
                              // solhint-disable-next-line max-line-length
                              require(abi.decode(returndata, (bool)), "SafeERC20: ERC20 operation did not succeed");
                          }
                      }
                  }
                  // SPDX-License-Identifier: MIT
                  pragma solidity >=0.6.0 <0.8.0;
                  /**
                   * @dev Interface of the ERC20 standard as defined in the EIP.
                   */
                  interface IERC20 {
                      /**
                       * @dev Returns the amount of tokens in existence.
                       */
                      function totalSupply() external view returns (uint256);
                      /**
                       * @dev Returns the amount of tokens owned by `account`.
                       */
                      function balanceOf(address account) external view returns (uint256);
                      /**
                       * @dev Moves `amount` tokens from the caller's account to `recipient`.
                       *
                       * Returns a boolean value indicating whether the operation succeeded.
                       *
                       * Emits a {Transfer} event.
                       */
                      function transfer(address recipient, uint256 amount) external returns (bool);
                      /**
                       * @dev Returns the remaining number of tokens that `spender` will be
                       * allowed to spend on behalf of `owner` through {transferFrom}. This is
                       * zero by default.
                       *
                       * This value changes when {approve} or {transferFrom} are called.
                       */
                      function allowance(address owner, address spender) external view returns (uint256);
                      /**
                       * @dev Sets `amount` as the allowance of `spender` over the caller's tokens.
                       *
                       * Returns a boolean value indicating whether the operation succeeded.
                       *
                       * IMPORTANT: Beware that changing an allowance with this method brings the risk
                       * that someone may use both the old and the new allowance by unfortunate
                       * transaction ordering. One possible solution to mitigate this race
                       * condition is to first reduce the spender's allowance to 0 and set the
                       * desired value afterwards:
                       * https://github.com/ethereum/EIPs/issues/20#issuecomment-263524729
                       *
                       * Emits an {Approval} event.
                       */
                      function approve(address spender, uint256 amount) external returns (bool);
                      /**
                       * @dev Moves `amount` tokens from `sender` to `recipient` using the
                       * allowance mechanism. `amount` is then deducted from the caller's
                       * allowance.
                       *
                       * Returns a boolean value indicating whether the operation succeeded.
                       *
                       * Emits a {Transfer} event.
                       */
                      function transferFrom(address sender, address recipient, uint256 amount) external returns (bool);
                      /**
                       * @dev Emitted when `value` tokens are moved from one account (`from`) to
                       * another (`to`).
                       *
                       * Note that `value` may be zero.
                       */
                      event Transfer(address indexed from, address indexed to, uint256 value);
                      /**
                       * @dev Emitted when the allowance of a `spender` for an `owner` is set by
                       * a call to {approve}. `value` is the new allowance.
                       */
                      event Approval(address indexed owner, address indexed spender, uint256 value);
                  }
                  // SPDX-License-Identifier: MIT
                  pragma solidity >=0.6.0 <0.8.0;
                  /**
                   * @dev Wrappers over Solidity's arithmetic operations with added overflow
                   * checks.
                   *
                   * Arithmetic operations in Solidity wrap on overflow. This can easily result
                   * in bugs, because programmers usually assume that an overflow raises an
                   * error, which is the standard behavior in high level programming languages.
                   * `SafeMath` restores this intuition by reverting the transaction when an
                   * operation overflows.
                   *
                   * Using this library instead of the unchecked operations eliminates an entire
                   * class of bugs, so it's recommended to use it always.
                   */
                  library SafeMath {
                      /**
                       * @dev Returns the addition of two unsigned integers, with an overflow flag.
                       *
                       * _Available since v3.4._
                       */
                      function tryAdd(uint256 a, uint256 b) internal pure returns (bool, uint256) {
                          uint256 c = a + b;
                          if (c < a) return (false, 0);
                          return (true, c);
                      }
                      /**
                       * @dev Returns the substraction of two unsigned integers, with an overflow flag.
                       *
                       * _Available since v3.4._
                       */
                      function trySub(uint256 a, uint256 b) internal pure returns (bool, uint256) {
                          if (b > a) return (false, 0);
                          return (true, a - b);
                      }
                      /**
                       * @dev Returns the multiplication of two unsigned integers, with an overflow flag.
                       *
                       * _Available since v3.4._
                       */
                      function tryMul(uint256 a, uint256 b) internal pure returns (bool, uint256) {
                          // Gas optimization: this is cheaper than requiring 'a' not being zero, but the
                          // benefit is lost if 'b' is also tested.
                          // See: https://github.com/OpenZeppelin/openzeppelin-contracts/pull/522
                          if (a == 0) return (true, 0);
                          uint256 c = a * b;
                          if (c / a != b) return (false, 0);
                          return (true, c);
                      }
                      /**
                       * @dev Returns the division of two unsigned integers, with a division by zero flag.
                       *
                       * _Available since v3.4._
                       */
                      function tryDiv(uint256 a, uint256 b) internal pure returns (bool, uint256) {
                          if (b == 0) return (false, 0);
                          return (true, a / b);
                      }
                      /**
                       * @dev Returns the remainder of dividing two unsigned integers, with a division by zero flag.
                       *
                       * _Available since v3.4._
                       */
                      function tryMod(uint256 a, uint256 b) internal pure returns (bool, uint256) {
                          if (b == 0) return (false, 0);
                          return (true, a % b);
                      }
                      /**
                       * @dev Returns the addition of two unsigned integers, reverting on
                       * overflow.
                       *
                       * Counterpart to Solidity's `+` operator.
                       *
                       * Requirements:
                       *
                       * - Addition cannot overflow.
                       */
                      function add(uint256 a, uint256 b) internal pure returns (uint256) {
                          uint256 c = a + b;
                          require(c >= a, "SafeMath: addition overflow");
                          return c;
                      }
                      /**
                       * @dev Returns the subtraction of two unsigned integers, reverting on
                       * overflow (when the result is negative).
                       *
                       * Counterpart to Solidity's `-` operator.
                       *
                       * Requirements:
                       *
                       * - Subtraction cannot overflow.
                       */
                      function sub(uint256 a, uint256 b) internal pure returns (uint256) {
                          require(b <= a, "SafeMath: subtraction overflow");
                          return a - b;
                      }
                      /**
                       * @dev Returns the multiplication of two unsigned integers, reverting on
                       * overflow.
                       *
                       * Counterpart to Solidity's `*` operator.
                       *
                       * Requirements:
                       *
                       * - Multiplication cannot overflow.
                       */
                      function mul(uint256 a, uint256 b) internal pure returns (uint256) {
                          if (a == 0) return 0;
                          uint256 c = a * b;
                          require(c / a == b, "SafeMath: multiplication overflow");
                          return c;
                      }
                      /**
                       * @dev Returns the integer division of two unsigned integers, reverting on
                       * division by zero. The result is rounded towards zero.
                       *
                       * Counterpart to Solidity's `/` operator. Note: this function uses a
                       * `revert` opcode (which leaves remaining gas untouched) while Solidity
                       * uses an invalid opcode to revert (consuming all remaining gas).
                       *
                       * Requirements:
                       *
                       * - The divisor cannot be zero.
                       */
                      function div(uint256 a, uint256 b) internal pure returns (uint256) {
                          require(b > 0, "SafeMath: division by zero");
                          return a / b;
                      }
                      /**
                       * @dev Returns the remainder of dividing two unsigned integers. (unsigned integer modulo),
                       * reverting when dividing by zero.
                       *
                       * Counterpart to Solidity's `%` operator. This function uses a `revert`
                       * opcode (which leaves remaining gas untouched) while Solidity uses an
                       * invalid opcode to revert (consuming all remaining gas).
                       *
                       * Requirements:
                       *
                       * - The divisor cannot be zero.
                       */
                      function mod(uint256 a, uint256 b) internal pure returns (uint256) {
                          require(b > 0, "SafeMath: modulo by zero");
                          return a % b;
                      }
                      /**
                       * @dev Returns the subtraction of two unsigned integers, reverting with custom message on
                       * overflow (when the result is negative).
                       *
                       * CAUTION: This function is deprecated because it requires allocating memory for the error
                       * message unnecessarily. For custom revert reasons use {trySub}.
                       *
                       * Counterpart to Solidity's `-` operator.
                       *
                       * Requirements:
                       *
                       * - Subtraction cannot overflow.
                       */
                      function sub(uint256 a, uint256 b, string memory errorMessage) internal pure returns (uint256) {
                          require(b <= a, errorMessage);
                          return a - b;
                      }
                      /**
                       * @dev Returns the integer division of two unsigned integers, reverting with custom message on
                       * division by zero. The result is rounded towards zero.
                       *
                       * CAUTION: This function is deprecated because it requires allocating memory for the error
                       * message unnecessarily. For custom revert reasons use {tryDiv}.
                       *
                       * Counterpart to Solidity's `/` operator. Note: this function uses a
                       * `revert` opcode (which leaves remaining gas untouched) while Solidity
                       * uses an invalid opcode to revert (consuming all remaining gas).
                       *
                       * Requirements:
                       *
                       * - The divisor cannot be zero.
                       */
                      function div(uint256 a, uint256 b, string memory errorMessage) internal pure returns (uint256) {
                          require(b > 0, errorMessage);
                          return a / b;
                      }
                      /**
                       * @dev Returns the remainder of dividing two unsigned integers. (unsigned integer modulo),
                       * reverting with custom message when dividing by zero.
                       *
                       * CAUTION: This function is deprecated because it requires allocating memory for the error
                       * message unnecessarily. For custom revert reasons use {tryMod}.
                       *
                       * Counterpart to Solidity's `%` operator. This function uses a `revert`
                       * opcode (which leaves remaining gas untouched) while Solidity uses an
                       * invalid opcode to revert (consuming all remaining gas).
                       *
                       * Requirements:
                       *
                       * - The divisor cannot be zero.
                       */
                      function mod(uint256 a, uint256 b, string memory errorMessage) internal pure returns (uint256) {
                          require(b > 0, errorMessage);
                          return a % b;
                      }
                  }
                  /**
                   * SPDX-License-Identifier: Apache-2.0
                   *
                   * Copyright (c) 2023, Circle Internet Financial, LLC.
                   *
                   * Licensed under the Apache License, Version 2.0 (the "License");
                   * you may not use this file except in compliance with the License.
                   * You may obtain a copy of the License at
                   *
                   * http://www.apache.org/licenses/LICENSE-2.0
                   *
                   * Unless required by applicable law or agreed to in writing, software
                   * distributed under the License is distributed on an "AS IS" BASIS,
                   * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
                   * See the License for the specific language governing permissions and
                   * limitations under the License.
                   */
                  pragma solidity 0.6.12;
                  import { FiatTokenV2 } from "./FiatTokenV2.sol";
                  // solhint-disable func-name-mixedcase
                  /**
                   * @title FiatToken V2.1
                   * @notice ERC20 Token backed by fiat reserves, version 2.1
                   */
                  contract FiatTokenV2_1 is FiatTokenV2 {
                      /**
                       * @notice Initialize v2.1
                       * @param lostAndFound  The address to which the locked funds are sent
                       */
                      function initializeV2_1(address lostAndFound) external {
                          // solhint-disable-next-line reason-string
                          require(_initializedVersion == 1);
                          uint256 lockedAmount = _balanceOf(address(this));
                          if (lockedAmount > 0) {
                              _transfer(address(this), lostAndFound, lockedAmount);
                          }
                          _blacklist(address(this));
                          _initializedVersion = 2;
                      }
                      /**
                       * @notice Version string for the EIP712 domain separator
                       * @return Version string
                       */
                      function version() external pure returns (string memory) {
                          return "2";
                      }
                  }
                  /**
                   * SPDX-License-Identifier: Apache-2.0
                   *
                   * Copyright (c) 2023, Circle Internet Financial, LLC.
                   *
                   * Licensed under the Apache License, Version 2.0 (the "License");
                   * you may not use this file except in compliance with the License.
                   * You may obtain a copy of the License at
                   *
                   * http://www.apache.org/licenses/LICENSE-2.0
                   *
                   * Unless required by applicable law or agreed to in writing, software
                   * distributed under the License is distributed on an "AS IS" BASIS,
                   * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
                   * See the License for the specific language governing permissions and
                   * limitations under the License.
                   */
                  pragma solidity 0.6.12;
                  import { FiatTokenV1_1 } from "../v1.1/FiatTokenV1_1.sol";
                  import { EIP712 } from "../util/EIP712.sol";
                  import { EIP3009 } from "./EIP3009.sol";
                  import { EIP2612 } from "./EIP2612.sol";
                  /**
                   * @title FiatToken V2
                   * @notice ERC20 Token backed by fiat reserves, version 2
                   */
                  contract FiatTokenV2 is FiatTokenV1_1, EIP3009, EIP2612 {
                      uint8 internal _initializedVersion;
                      /**
                       * @notice Initialize v2
                       * @param newName   New token name
                       */
                      function initializeV2(string calldata newName) external {
                          // solhint-disable-next-line reason-string
                          require(initialized && _initializedVersion == 0);
                          name = newName;
                          _DEPRECATED_CACHED_DOMAIN_SEPARATOR = EIP712.makeDomainSeparator(
                              newName,
                              "2"
                          );
                          _initializedVersion = 1;
                      }
                      /**
                       * @notice Increase the allowance by a given increment
                       * @param spender   Spender's address
                       * @param increment Amount of increase in allowance
                       * @return True if successful
                       */
                      function increaseAllowance(address spender, uint256 increment)
                          external
                          virtual
                          whenNotPaused
                          notBlacklisted(msg.sender)
                          notBlacklisted(spender)
                          returns (bool)
                      {
                          _increaseAllowance(msg.sender, spender, increment);
                          return true;
                      }
                      /**
                       * @notice Decrease the allowance by a given decrement
                       * @param spender   Spender's address
                       * @param decrement Amount of decrease in allowance
                       * @return True if successful
                       */
                      function decreaseAllowance(address spender, uint256 decrement)
                          external
                          virtual
                          whenNotPaused
                          notBlacklisted(msg.sender)
                          notBlacklisted(spender)
                          returns (bool)
                      {
                          _decreaseAllowance(msg.sender, spender, decrement);
                          return true;
                      }
                      /**
                       * @notice Execute a transfer with a signed authorization
                       * @param from          Payer's address (Authorizer)
                       * @param to            Payee's address
                       * @param value         Amount to be transferred
                       * @param validAfter    The time after which this is valid (unix time)
                       * @param validBefore   The time before which this is valid (unix time)
                       * @param nonce         Unique nonce
                       * @param v             v of the signature
                       * @param r             r of the signature
                       * @param s             s of the signature
                       */
                      function transferWithAuthorization(
                          address from,
                          address to,
                          uint256 value,
                          uint256 validAfter,
                          uint256 validBefore,
                          bytes32 nonce,
                          uint8 v,
                          bytes32 r,
                          bytes32 s
                      ) external whenNotPaused notBlacklisted(from) notBlacklisted(to) {
                          _transferWithAuthorization(
                              from,
                              to,
                              value,
                              validAfter,
                              validBefore,
                              nonce,
                              v,
                              r,
                              s
                          );
                      }
                      /**
                       * @notice Receive a transfer with a signed authorization from the payer
                       * @dev This has an additional check to ensure that the payee's address
                       * matches the caller of this function to prevent front-running attacks.
                       * @param from          Payer's address (Authorizer)
                       * @param to            Payee's address
                       * @param value         Amount to be transferred
                       * @param validAfter    The time after which this is valid (unix time)
                       * @param validBefore   The time before which this is valid (unix time)
                       * @param nonce         Unique nonce
                       * @param v             v of the signature
                       * @param r             r of the signature
                       * @param s             s of the signature
                       */
                      function receiveWithAuthorization(
                          address from,
                          address to,
                          uint256 value,
                          uint256 validAfter,
                          uint256 validBefore,
                          bytes32 nonce,
                          uint8 v,
                          bytes32 r,
                          bytes32 s
                      ) external whenNotPaused notBlacklisted(from) notBlacklisted(to) {
                          _receiveWithAuthorization(
                              from,
                              to,
                              value,
                              validAfter,
                              validBefore,
                              nonce,
                              v,
                              r,
                              s
                          );
                      }
                      /**
                       * @notice Attempt to cancel an authorization
                       * @dev Works only if the authorization is not yet used.
                       * @param authorizer    Authorizer's address
                       * @param nonce         Nonce of the authorization
                       * @param v             v of the signature
                       * @param r             r of the signature
                       * @param s             s of the signature
                       */
                      function cancelAuthorization(
                          address authorizer,
                          bytes32 nonce,
                          uint8 v,
                          bytes32 r,
                          bytes32 s
                      ) external whenNotPaused {
                          _cancelAuthorization(authorizer, nonce, v, r, s);
                      }
                      /**
                       * @notice Update allowance with a signed permit
                       * @param owner       Token owner's address (Authorizer)
                       * @param spender     Spender's address
                       * @param value       Amount of allowance
                       * @param deadline    The time at which the signature expires (unix time), or max uint256 value to signal no expiration
                       * @param v           v of the signature
                       * @param r           r of the signature
                       * @param s           s of the signature
                       */
                      function permit(
                          address owner,
                          address spender,
                          uint256 value,
                          uint256 deadline,
                          uint8 v,
                          bytes32 r,
                          bytes32 s
                      )
                          external
                          virtual
                          whenNotPaused
                          notBlacklisted(owner)
                          notBlacklisted(spender)
                      {
                          _permit(owner, spender, value, deadline, v, r, s);
                      }
                      /**
                       * @dev Internal function to increase the allowance by a given increment
                       * @param owner     Token owner's address
                       * @param spender   Spender's address
                       * @param increment Amount of increase
                       */
                      function _increaseAllowance(
                          address owner,
                          address spender,
                          uint256 increment
                      ) internal override {
                          _approve(owner, spender, allowed[owner][spender].add(increment));
                      }
                      /**
                       * @dev Internal function to decrease the allowance by a given decrement
                       * @param owner     Token owner's address
                       * @param spender   Spender's address
                       * @param decrement Amount of decrease
                       */
                      function _decreaseAllowance(
                          address owner,
                          address spender,
                          uint256 decrement
                      ) internal override {
                          _approve(
                              owner,
                              spender,
                              allowed[owner][spender].sub(
                                  decrement,
                                  "ERC20: decreased allowance below zero"
                              )
                          );
                      }
                  }
                  /**
                   * SPDX-License-Identifier: Apache-2.0
                   *
                   * Copyright (c) 2023, Circle Internet Financial, LLC.
                   *
                   * Licensed under the Apache License, Version 2.0 (the "License");
                   * you may not use this file except in compliance with the License.
                   * You may obtain a copy of the License at
                   *
                   * http://www.apache.org/licenses/LICENSE-2.0
                   *
                   * Unless required by applicable law or agreed to in writing, software
                   * distributed under the License is distributed on an "AS IS" BASIS,
                   * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
                   * See the License for the specific language governing permissions and
                   * limitations under the License.
                   */
                  pragma solidity 0.6.12;
                  // solhint-disable func-name-mixedcase
                  /**
                   * @title EIP712 Domain
                   */
                  contract EIP712Domain {
                      // was originally DOMAIN_SEPARATOR
                      // but that has been moved to a method so we can override it in V2_2+
                      bytes32 internal _DEPRECATED_CACHED_DOMAIN_SEPARATOR;
                      /**
                       * @notice Get the EIP712 Domain Separator.
                       * @return The bytes32 EIP712 domain separator.
                       */
                      function DOMAIN_SEPARATOR() external view returns (bytes32) {
                          return _domainSeparator();
                      }
                      /**
                       * @dev Internal method to get the EIP712 Domain Separator.
                       * @return The bytes32 EIP712 domain separator.
                       */
                      function _domainSeparator() internal virtual view returns (bytes32) {
                          return _DEPRECATED_CACHED_DOMAIN_SEPARATOR;
                      }
                  }
                  /**
                   * SPDX-License-Identifier: Apache-2.0
                   *
                   * Copyright (c) 2023, Circle Internet Financial, LLC.
                   *
                   * Licensed under the Apache License, Version 2.0 (the "License");
                   * you may not use this file except in compliance with the License.
                   * You may obtain a copy of the License at
                   *
                   * http://www.apache.org/licenses/LICENSE-2.0
                   *
                   * Unless required by applicable law or agreed to in writing, software
                   * distributed under the License is distributed on an "AS IS" BASIS,
                   * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
                   * See the License for the specific language governing permissions and
                   * limitations under the License.
                   */
                  pragma solidity 0.6.12;
                  import { AbstractFiatTokenV2 } from "./AbstractFiatTokenV2.sol";
                  import { EIP712Domain } from "./EIP712Domain.sol";
                  import { SignatureChecker } from "../util/SignatureChecker.sol";
                  import { MessageHashUtils } from "../util/MessageHashUtils.sol";
                  /**
                   * @title EIP-3009
                   * @notice Provide internal implementation for gas-abstracted transfers
                   * @dev Contracts that inherit from this must wrap these with publicly
                   * accessible functions, optionally adding modifiers where necessary
                   */
                  abstract contract EIP3009 is AbstractFiatTokenV2, EIP712Domain {
                      // keccak256("TransferWithAuthorization(address from,address to,uint256 value,uint256 validAfter,uint256 validBefore,bytes32 nonce)")
                      bytes32
                          public constant TRANSFER_WITH_AUTHORIZATION_TYPEHASH = 0x7c7c6cdb67a18743f49ec6fa9b35f50d52ed05cbed4cc592e13b44501c1a2267;
                      // keccak256("ReceiveWithAuthorization(address from,address to,uint256 value,uint256 validAfter,uint256 validBefore,bytes32 nonce)")
                      bytes32
                          public constant RECEIVE_WITH_AUTHORIZATION_TYPEHASH = 0xd099cc98ef71107a616c4f0f941f04c322d8e254fe26b3c6668db87aae413de8;
                      // keccak256("CancelAuthorization(address authorizer,bytes32 nonce)")
                      bytes32
                          public constant CANCEL_AUTHORIZATION_TYPEHASH = 0x158b0a9edf7a828aad02f63cd515c68ef2f50ba807396f6d12842833a1597429;
                      /**
                       * @dev authorizer address => nonce => bool (true if nonce is used)
                       */
                      mapping(address => mapping(bytes32 => bool)) private _authorizationStates;
                      event AuthorizationUsed(address indexed authorizer, bytes32 indexed nonce);
                      event AuthorizationCanceled(
                          address indexed authorizer,
                          bytes32 indexed nonce
                      );
                      /**
                       * @notice Returns the state of an authorization
                       * @dev Nonces are randomly generated 32-byte data unique to the
                       * authorizer's address
                       * @param authorizer    Authorizer's address
                       * @param nonce         Nonce of the authorization
                       * @return True if the nonce is used
                       */
                      function authorizationState(address authorizer, bytes32 nonce)
                          external
                          view
                          returns (bool)
                      {
                          return _authorizationStates[authorizer][nonce];
                      }
                      /**
                       * @notice Execute a transfer with a signed authorization
                       * @param from          Payer's address (Authorizer)
                       * @param to            Payee's address
                       * @param value         Amount to be transferred
                       * @param validAfter    The time after which this is valid (unix time)
                       * @param validBefore   The time before which this is valid (unix time)
                       * @param nonce         Unique nonce
                       * @param v             v of the signature
                       * @param r             r of the signature
                       * @param s             s of the signature
                       */
                      function _transferWithAuthorization(
                          address from,
                          address to,
                          uint256 value,
                          uint256 validAfter,
                          uint256 validBefore,
                          bytes32 nonce,
                          uint8 v,
                          bytes32 r,
                          bytes32 s
                      ) internal {
                          _transferWithAuthorization(
                              from,
                              to,
                              value,
                              validAfter,
                              validBefore,
                              nonce,
                              abi.encodePacked(r, s, v)
                          );
                      }
                      /**
                       * @notice Execute a transfer with a signed authorization
                       * @dev EOA wallet signatures should be packed in the order of r, s, v.
                       * @param from          Payer's address (Authorizer)
                       * @param to            Payee's address
                       * @param value         Amount to be transferred
                       * @param validAfter    The time after which this is valid (unix time)
                       * @param validBefore   The time before which this is valid (unix time)
                       * @param nonce         Unique nonce
                       * @param signature     Signature byte array produced by an EOA wallet or a contract wallet
                       */
                      function _transferWithAuthorization(
                          address from,
                          address to,
                          uint256 value,
                          uint256 validAfter,
                          uint256 validBefore,
                          bytes32 nonce,
                          bytes memory signature
                      ) internal {
                          _requireValidAuthorization(from, nonce, validAfter, validBefore);
                          _requireValidSignature(
                              from,
                              keccak256(
                                  abi.encode(
                                      TRANSFER_WITH_AUTHORIZATION_TYPEHASH,
                                      from,
                                      to,
                                      value,
                                      validAfter,
                                      validBefore,
                                      nonce
                                  )
                              ),
                              signature
                          );
                          _markAuthorizationAsUsed(from, nonce);
                          _transfer(from, to, value);
                      }
                      /**
                       * @notice Receive a transfer with a signed authorization from the payer
                       * @dev This has an additional check to ensure that the payee's address
                       * matches the caller of this function to prevent front-running attacks.
                       * @param from          Payer's address (Authorizer)
                       * @param to            Payee's address
                       * @param value         Amount to be transferred
                       * @param validAfter    The time after which this is valid (unix time)
                       * @param validBefore   The time before which this is valid (unix time)
                       * @param nonce         Unique nonce
                       * @param v             v of the signature
                       * @param r             r of the signature
                       * @param s             s of the signature
                       */
                      function _receiveWithAuthorization(
                          address from,
                          address to,
                          uint256 value,
                          uint256 validAfter,
                          uint256 validBefore,
                          bytes32 nonce,
                          uint8 v,
                          bytes32 r,
                          bytes32 s
                      ) internal {
                          _receiveWithAuthorization(
                              from,
                              to,
                              value,
                              validAfter,
                              validBefore,
                              nonce,
                              abi.encodePacked(r, s, v)
                          );
                      }
                      /**
                       * @notice Receive a transfer with a signed authorization from the payer
                       * @dev This has an additional check to ensure that the payee's address
                       * matches the caller of this function to prevent front-running attacks.
                       * EOA wallet signatures should be packed in the order of r, s, v.
                       * @param from          Payer's address (Authorizer)
                       * @param to            Payee's address
                       * @param value         Amount to be transferred
                       * @param validAfter    The time after which this is valid (unix time)
                       * @param validBefore   The time before which this is valid (unix time)
                       * @param nonce         Unique nonce
                       * @param signature     Signature byte array produced by an EOA wallet or a contract wallet
                       */
                      function _receiveWithAuthorization(
                          address from,
                          address to,
                          uint256 value,
                          uint256 validAfter,
                          uint256 validBefore,
                          bytes32 nonce,
                          bytes memory signature
                      ) internal {
                          require(to == msg.sender, "FiatTokenV2: caller must be the payee");
                          _requireValidAuthorization(from, nonce, validAfter, validBefore);
                          _requireValidSignature(
                              from,
                              keccak256(
                                  abi.encode(
                                      RECEIVE_WITH_AUTHORIZATION_TYPEHASH,
                                      from,
                                      to,
                                      value,
                                      validAfter,
                                      validBefore,
                                      nonce
                                  )
                              ),
                              signature
                          );
                          _markAuthorizationAsUsed(from, nonce);
                          _transfer(from, to, value);
                      }
                      /**
                       * @notice Attempt to cancel an authorization
                       * @param authorizer    Authorizer's address
                       * @param nonce         Nonce of the authorization
                       * @param v             v of the signature
                       * @param r             r of the signature
                       * @param s             s of the signature
                       */
                      function _cancelAuthorization(
                          address authorizer,
                          bytes32 nonce,
                          uint8 v,
                          bytes32 r,
                          bytes32 s
                      ) internal {
                          _cancelAuthorization(authorizer, nonce, abi.encodePacked(r, s, v));
                      }
                      /**
                       * @notice Attempt to cancel an authorization
                       * @dev EOA wallet signatures should be packed in the order of r, s, v.
                       * @param authorizer    Authorizer's address
                       * @param nonce         Nonce of the authorization
                       * @param signature     Signature byte array produced by an EOA wallet or a contract wallet
                       */
                      function _cancelAuthorization(
                          address authorizer,
                          bytes32 nonce,
                          bytes memory signature
                      ) internal {
                          _requireUnusedAuthorization(authorizer, nonce);
                          _requireValidSignature(
                              authorizer,
                              keccak256(
                                  abi.encode(CANCEL_AUTHORIZATION_TYPEHASH, authorizer, nonce)
                              ),
                              signature
                          );
                          _authorizationStates[authorizer][nonce] = true;
                          emit AuthorizationCanceled(authorizer, nonce);
                      }
                      /**
                       * @notice Validates that signature against input data struct
                       * @param signer        Signer's address
                       * @param dataHash      Hash of encoded data struct
                       * @param signature     Signature byte array produced by an EOA wallet or a contract wallet
                       */
                      function _requireValidSignature(
                          address signer,
                          bytes32 dataHash,
                          bytes memory signature
                      ) private view {
                          require(
                              SignatureChecker.isValidSignatureNow(
                                  signer,
                                  MessageHashUtils.toTypedDataHash(_domainSeparator(), dataHash),
                                  signature
                              ),
                              "FiatTokenV2: invalid signature"
                          );
                      }
                      /**
                       * @notice Check that an authorization is unused
                       * @param authorizer    Authorizer's address
                       * @param nonce         Nonce of the authorization
                       */
                      function _requireUnusedAuthorization(address authorizer, bytes32 nonce)
                          private
                          view
                      {
                          require(
                              !_authorizationStates[authorizer][nonce],
                              "FiatTokenV2: authorization is used or canceled"
                          );
                      }
                      /**
                       * @notice Check that authorization is valid
                       * @param authorizer    Authorizer's address
                       * @param nonce         Nonce of the authorization
                       * @param validAfter    The time after which this is valid (unix time)
                       * @param validBefore   The time before which this is valid (unix time)
                       */
                      function _requireValidAuthorization(
                          address authorizer,
                          bytes32 nonce,
                          uint256 validAfter,
                          uint256 validBefore
                      ) private view {
                          require(
                              now > validAfter,
                              "FiatTokenV2: authorization is not yet valid"
                          );
                          require(now < validBefore, "FiatTokenV2: authorization is expired");
                          _requireUnusedAuthorization(authorizer, nonce);
                      }
                      /**
                       * @notice Mark an authorization as used
                       * @param authorizer    Authorizer's address
                       * @param nonce         Nonce of the authorization
                       */
                      function _markAuthorizationAsUsed(address authorizer, bytes32 nonce)
                          private
                      {
                          _authorizationStates[authorizer][nonce] = true;
                          emit AuthorizationUsed(authorizer, nonce);
                      }
                  }
                  /**
                   * SPDX-License-Identifier: Apache-2.0
                   *
                   * Copyright (c) 2023, Circle Internet Financial, LLC.
                   *
                   * Licensed under the Apache License, Version 2.0 (the "License");
                   * you may not use this file except in compliance with the License.
                   * You may obtain a copy of the License at
                   *
                   * http://www.apache.org/licenses/LICENSE-2.0
                   *
                   * Unless required by applicable law or agreed to in writing, software
                   * distributed under the License is distributed on an "AS IS" BASIS,
                   * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
                   * See the License for the specific language governing permissions and
                   * limitations under the License.
                   */
                  pragma solidity 0.6.12;
                  import { AbstractFiatTokenV2 } from "./AbstractFiatTokenV2.sol";
                  import { EIP712Domain } from "./EIP712Domain.sol";
                  import { MessageHashUtils } from "../util/MessageHashUtils.sol";
                  import { SignatureChecker } from "../util/SignatureChecker.sol";
                  /**
                   * @title EIP-2612
                   * @notice Provide internal implementation for gas-abstracted approvals
                   */
                  abstract contract EIP2612 is AbstractFiatTokenV2, EIP712Domain {
                      // keccak256("Permit(address owner,address spender,uint256 value,uint256 nonce,uint256 deadline)")
                      bytes32
                          public constant PERMIT_TYPEHASH = 0x6e71edae12b1b97f4d1f60370fef10105fa2faae0126114a169c64845d6126c9;
                      mapping(address => uint256) private _permitNonces;
                      /**
                       * @notice Nonces for permit
                       * @param owner Token owner's address (Authorizer)
                       * @return Next nonce
                       */
                      function nonces(address owner) external view returns (uint256) {
                          return _permitNonces[owner];
                      }
                      /**
                       * @notice Verify a signed approval permit and execute if valid
                       * @param owner     Token owner's address (Authorizer)
                       * @param spender   Spender's address
                       * @param value     Amount of allowance
                       * @param deadline  The time at which the signature expires (unix time), or max uint256 value to signal no expiration
                       * @param v         v of the signature
                       * @param r         r of the signature
                       * @param s         s of the signature
                       */
                      function _permit(
                          address owner,
                          address spender,
                          uint256 value,
                          uint256 deadline,
                          uint8 v,
                          bytes32 r,
                          bytes32 s
                      ) internal {
                          _permit(owner, spender, value, deadline, abi.encodePacked(r, s, v));
                      }
                      /**
                       * @notice Verify a signed approval permit and execute if valid
                       * @dev EOA wallet signatures should be packed in the order of r, s, v.
                       * @param owner      Token owner's address (Authorizer)
                       * @param spender    Spender's address
                       * @param value      Amount of allowance
                       * @param deadline   The time at which the signature expires (unix time), or max uint256 value to signal no expiration
                       * @param signature  Signature byte array signed by an EOA wallet or a contract wallet
                       */
                      function _permit(
                          address owner,
                          address spender,
                          uint256 value,
                          uint256 deadline,
                          bytes memory signature
                      ) internal {
                          require(
                              deadline == type(uint256).max || deadline >= now,
                              "FiatTokenV2: permit is expired"
                          );
                          bytes32 typedDataHash = MessageHashUtils.toTypedDataHash(
                              _domainSeparator(),
                              keccak256(
                                  abi.encode(
                                      PERMIT_TYPEHASH,
                                      owner,
                                      spender,
                                      value,
                                      _permitNonces[owner]++,
                                      deadline
                                  )
                              )
                          );
                          require(
                              SignatureChecker.isValidSignatureNow(
                                  owner,
                                  typedDataHash,
                                  signature
                              ),
                              "EIP2612: invalid signature"
                          );
                          _approve(owner, spender, value);
                      }
                  }
                  /**
                   * SPDX-License-Identifier: Apache-2.0
                   *
                   * Copyright (c) 2023, Circle Internet Financial, LLC.
                   *
                   * Licensed under the Apache License, Version 2.0 (the "License");
                   * you may not use this file except in compliance with the License.
                   * You may obtain a copy of the License at
                   *
                   * http://www.apache.org/licenses/LICENSE-2.0
                   *
                   * Unless required by applicable law or agreed to in writing, software
                   * distributed under the License is distributed on an "AS IS" BASIS,
                   * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
                   * See the License for the specific language governing permissions and
                   * limitations under the License.
                   */
                  pragma solidity 0.6.12;
                  import { AbstractFiatTokenV1 } from "../v1/AbstractFiatTokenV1.sol";
                  abstract contract AbstractFiatTokenV2 is AbstractFiatTokenV1 {
                      function _increaseAllowance(
                          address owner,
                          address spender,
                          uint256 increment
                      ) internal virtual;
                      function _decreaseAllowance(
                          address owner,
                          address spender,
                          uint256 decrement
                      ) internal virtual;
                  }
                  /**
                   * SPDX-License-Identifier: MIT
                   *
                   * Copyright (c) 2016 Smart Contract Solutions, Inc.
                   * Copyright (c) 2018-2020 CENTRE SECZ
                   *
                   * Permission is hereby granted, free of charge, to any person obtaining a copy
                   * of this software and associated documentation files (the "Software"), to deal
                   * in the Software without restriction, including without limitation the rights
                   * to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
                   * copies of the Software, and to permit persons to whom the Software is
                   * furnished to do so, subject to the following conditions:
                   *
                   * The above copyright notice and this permission notice shall be included in
                   * copies or substantial portions of the Software.
                   *
                   * THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
                   * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
                   * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
                   * AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
                   * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
                   * OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE
                   * SOFTWARE.
                   */
                  pragma solidity 0.6.12;
                  import { Ownable } from "./Ownable.sol";
                  /**
                   * @notice Base contract which allows children to implement an emergency stop
                   * mechanism
                   * @dev Forked from https://github.com/OpenZeppelin/openzeppelin-contracts/blob/feb665136c0dae9912e08397c1a21c4af3651ef3/contracts/lifecycle/Pausable.sol
                   * Modifications:
                   * 1. Added pauser role, switched pause/unpause to be onlyPauser (6/14/2018)
                   * 2. Removed whenNotPause/whenPaused from pause/unpause (6/14/2018)
                   * 3. Removed whenPaused (6/14/2018)
                   * 4. Switches ownable library to use ZeppelinOS (7/12/18)
                   * 5. Remove constructor (7/13/18)
                   * 6. Reformat, conform to Solidity 0.6 syntax and add error messages (5/13/20)
                   * 7. Make public functions external (5/27/20)
                   */
                  contract Pausable is Ownable {
                      event Pause();
                      event Unpause();
                      event PauserChanged(address indexed newAddress);
                      address public pauser;
                      bool public paused = false;
                      /**
                       * @dev Modifier to make a function callable only when the contract is not paused.
                       */
                      modifier whenNotPaused() {
                          require(!paused, "Pausable: paused");
                          _;
                      }
                      /**
                       * @dev throws if called by any account other than the pauser
                       */
                      modifier onlyPauser() {
                          require(msg.sender == pauser, "Pausable: caller is not the pauser");
                          _;
                      }
                      /**
                       * @dev called by the owner to pause, triggers stopped state
                       */
                      function pause() external onlyPauser {
                          paused = true;
                          emit Pause();
                      }
                      /**
                       * @dev called by the owner to unpause, returns to normal state
                       */
                      function unpause() external onlyPauser {
                          paused = false;
                          emit Unpause();
                      }
                      /**
                       * @notice Updates the pauser address.
                       * @param _newPauser The address of the new pauser.
                       */
                      function updatePauser(address _newPauser) external onlyOwner {
                          require(
                              _newPauser != address(0),
                              "Pausable: new pauser is the zero address"
                          );
                          pauser = _newPauser;
                          emit PauserChanged(pauser);
                      }
                  }
                  /**
                   * SPDX-License-Identifier: MIT
                   *
                   * Copyright (c) 2018 zOS Global Limited.
                   * Copyright (c) 2018-2020 CENTRE SECZ
                   *
                   * Permission is hereby granted, free of charge, to any person obtaining a copy
                   * of this software and associated documentation files (the "Software"), to deal
                   * in the Software without restriction, including without limitation the rights
                   * to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
                   * copies of the Software, and to permit persons to whom the Software is
                   * furnished to do so, subject to the following conditions:
                   *
                   * The above copyright notice and this permission notice shall be included in
                   * copies or substantial portions of the Software.
                   *
                   * THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
                   * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
                   * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
                   * AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
                   * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
                   * OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE
                   * SOFTWARE.
                   */
                  pragma solidity 0.6.12;
                  /**
                   * @notice The Ownable contract has an owner address, and provides basic
                   * authorization control functions
                   * @dev Forked from https://github.com/OpenZeppelin/openzeppelin-labs/blob/3887ab77b8adafba4a26ace002f3a684c1a3388b/upgradeability_ownership/contracts/ownership/Ownable.sol
                   * Modifications:
                   * 1. Consolidate OwnableStorage into this contract (7/13/18)
                   * 2. Reformat, conform to Solidity 0.6 syntax, and add error messages (5/13/20)
                   * 3. Make public functions external (5/27/20)
                   */
                  contract Ownable {
                      // Owner of the contract
                      address private _owner;
                      /**
                       * @dev Event to show ownership has been transferred
                       * @param previousOwner representing the address of the previous owner
                       * @param newOwner representing the address of the new owner
                       */
                      event OwnershipTransferred(address previousOwner, address newOwner);
                      /**
                       * @dev The constructor sets the original owner of the contract to the sender account.
                       */
                      constructor() public {
                          setOwner(msg.sender);
                      }
                      /**
                       * @dev Tells the address of the owner
                       * @return the address of the owner
                       */
                      function owner() external view returns (address) {
                          return _owner;
                      }
                      /**
                       * @dev Sets a new owner address
                       */
                      function setOwner(address newOwner) internal {
                          _owner = newOwner;
                      }
                      /**
                       * @dev Throws if called by any account other than the owner.
                       */
                      modifier onlyOwner() {
                          require(msg.sender == _owner, "Ownable: caller is not the owner");
                          _;
                      }
                      /**
                       * @dev Allows the current owner to transfer control of the contract to a newOwner.
                       * @param newOwner The address to transfer ownership to.
                       */
                      function transferOwnership(address newOwner) external onlyOwner {
                          require(
                              newOwner != address(0),
                              "Ownable: new owner is the zero address"
                          );
                          emit OwnershipTransferred(_owner, newOwner);
                          setOwner(newOwner);
                      }
                  }
                  /**
                   * SPDX-License-Identifier: Apache-2.0
                   *
                   * Copyright (c) 2023, Circle Internet Financial, LLC.
                   *
                   * Licensed under the Apache License, Version 2.0 (the "License");
                   * you may not use this file except in compliance with the License.
                   * You may obtain a copy of the License at
                   *
                   * http://www.apache.org/licenses/LICENSE-2.0
                   *
                   * Unless required by applicable law or agreed to in writing, software
                   * distributed under the License is distributed on an "AS IS" BASIS,
                   * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
                   * See the License for the specific language governing permissions and
                   * limitations under the License.
                   */
                  pragma solidity 0.6.12;
                  import { SafeMath } from "@openzeppelin/contracts/math/SafeMath.sol";
                  import { AbstractFiatTokenV1 } from "./AbstractFiatTokenV1.sol";
                  import { Ownable } from "./Ownable.sol";
                  import { Pausable } from "./Pausable.sol";
                  import { Blacklistable } from "./Blacklistable.sol";
                  /**
                   * @title FiatToken
                   * @dev ERC20 Token backed by fiat reserves
                   */
                  contract FiatTokenV1 is AbstractFiatTokenV1, Ownable, Pausable, Blacklistable {
                      using SafeMath for uint256;
                      string public name;
                      string public symbol;
                      uint8 public decimals;
                      string public currency;
                      address public masterMinter;
                      bool internal initialized;
                      /// @dev A mapping that stores the balance and blacklist states for a given address.
                      /// The first bit defines whether the address is blacklisted (1 if blacklisted, 0 otherwise).
                      /// The last 255 bits define the balance for the address.
                      mapping(address => uint256) internal balanceAndBlacklistStates;
                      mapping(address => mapping(address => uint256)) internal allowed;
                      uint256 internal totalSupply_ = 0;
                      mapping(address => bool) internal minters;
                      mapping(address => uint256) internal minterAllowed;
                      event Mint(address indexed minter, address indexed to, uint256 amount);
                      event Burn(address indexed burner, uint256 amount);
                      event MinterConfigured(address indexed minter, uint256 minterAllowedAmount);
                      event MinterRemoved(address indexed oldMinter);
                      event MasterMinterChanged(address indexed newMasterMinter);
                      /**
                       * @notice Initializes the fiat token contract.
                       * @param tokenName       The name of the fiat token.
                       * @param tokenSymbol     The symbol of the fiat token.
                       * @param tokenCurrency   The fiat currency that the token represents.
                       * @param tokenDecimals   The number of decimals that the token uses.
                       * @param newMasterMinter The masterMinter address for the fiat token.
                       * @param newPauser       The pauser address for the fiat token.
                       * @param newBlacklister  The blacklister address for the fiat token.
                       * @param newOwner        The owner of the fiat token.
                       */
                      function initialize(
                          string memory tokenName,
                          string memory tokenSymbol,
                          string memory tokenCurrency,
                          uint8 tokenDecimals,
                          address newMasterMinter,
                          address newPauser,
                          address newBlacklister,
                          address newOwner
                      ) public {
                          require(!initialized, "FiatToken: contract is already initialized");
                          require(
                              newMasterMinter != address(0),
                              "FiatToken: new masterMinter is the zero address"
                          );
                          require(
                              newPauser != address(0),
                              "FiatToken: new pauser is the zero address"
                          );
                          require(
                              newBlacklister != address(0),
                              "FiatToken: new blacklister is the zero address"
                          );
                          require(
                              newOwner != address(0),
                              "FiatToken: new owner is the zero address"
                          );
                          name = tokenName;
                          symbol = tokenSymbol;
                          currency = tokenCurrency;
                          decimals = tokenDecimals;
                          masterMinter = newMasterMinter;
                          pauser = newPauser;
                          blacklister = newBlacklister;
                          setOwner(newOwner);
                          initialized = true;
                      }
                      /**
                       * @dev Throws if called by any account other than a minter.
                       */
                      modifier onlyMinters() {
                          require(minters[msg.sender], "FiatToken: caller is not a minter");
                          _;
                      }
                      /**
                       * @notice Mints fiat tokens to an address.
                       * @param _to The address that will receive the minted tokens.
                       * @param _amount The amount of tokens to mint. Must be less than or equal
                       * to the minterAllowance of the caller.
                       * @return True if the operation was successful.
                       */
                      function mint(address _to, uint256 _amount)
                          external
                          whenNotPaused
                          onlyMinters
                          notBlacklisted(msg.sender)
                          notBlacklisted(_to)
                          returns (bool)
                      {
                          require(_to != address(0), "FiatToken: mint to the zero address");
                          require(_amount > 0, "FiatToken: mint amount not greater than 0");
                          uint256 mintingAllowedAmount = minterAllowed[msg.sender];
                          require(
                              _amount <= mintingAllowedAmount,
                              "FiatToken: mint amount exceeds minterAllowance"
                          );
                          totalSupply_ = totalSupply_.add(_amount);
                          _setBalance(_to, _balanceOf(_to).add(_amount));
                          minterAllowed[msg.sender] = mintingAllowedAmount.sub(_amount);
                          emit Mint(msg.sender, _to, _amount);
                          emit Transfer(address(0), _to, _amount);
                          return true;
                      }
                      /**
                       * @dev Throws if called by any account other than the masterMinter
                       */
                      modifier onlyMasterMinter() {
                          require(
                              msg.sender == masterMinter,
                              "FiatToken: caller is not the masterMinter"
                          );
                          _;
                      }
                      /**
                       * @notice Gets the minter allowance for an account.
                       * @param minter The address to check.
                       * @return The remaining minter allowance for the account.
                       */
                      function minterAllowance(address minter) external view returns (uint256) {
                          return minterAllowed[minter];
                      }
                      /**
                       * @notice Checks if an account is a minter.
                       * @param account The address to check.
                       * @return True if the account is a minter, false if the account is not a minter.
                       */
                      function isMinter(address account) external view returns (bool) {
                          return minters[account];
                      }
                      /**
                       * @notice Gets the remaining amount of fiat tokens a spender is allowed to transfer on
                       * behalf of the token owner.
                       * @param owner   The token owner's address.
                       * @param spender The spender's address.
                       * @return The remaining allowance.
                       */
                      function allowance(address owner, address spender)
                          external
                          override
                          view
                          returns (uint256)
                      {
                          return allowed[owner][spender];
                      }
                      /**
                       * @notice Gets the totalSupply of the fiat token.
                       * @return The totalSupply of the fiat token.
                       */
                      function totalSupply() external override view returns (uint256) {
                          return totalSupply_;
                      }
                      /**
                       * @notice Gets the fiat token balance of an account.
                       * @param account  The address to check.
                       * @return balance The fiat token balance of the account.
                       */
                      function balanceOf(address account)
                          external
                          override
                          view
                          returns (uint256)
                      {
                          return _balanceOf(account);
                      }
                      /**
                       * @notice Sets a fiat token allowance for a spender to spend on behalf of the caller.
                       * @param spender The spender's address.
                       * @param value   The allowance amount.
                       * @return True if the operation was successful.
                       */
                      function approve(address spender, uint256 value)
                          external
                          virtual
                          override
                          whenNotPaused
                          notBlacklisted(msg.sender)
                          notBlacklisted(spender)
                          returns (bool)
                      {
                          _approve(msg.sender, spender, value);
                          return true;
                      }
                      /**
                       * @dev Internal function to set allowance.
                       * @param owner     Token owner's address.
                       * @param spender   Spender's address.
                       * @param value     Allowance amount.
                       */
                      function _approve(
                          address owner,
                          address spender,
                          uint256 value
                      ) internal override {
                          require(owner != address(0), "ERC20: approve from the zero address");
                          require(spender != address(0), "ERC20: approve to the zero address");
                          allowed[owner][spender] = value;
                          emit Approval(owner, spender, value);
                      }
                      /**
                       * @notice Transfers tokens from an address to another by spending the caller's allowance.
                       * @dev The caller must have some fiat token allowance on the payer's tokens.
                       * @param from  Payer's address.
                       * @param to    Payee's address.
                       * @param value Transfer amount.
                       * @return True if the operation was successful.
                       */
                      function transferFrom(
                          address from,
                          address to,
                          uint256 value
                      )
                          external
                          override
                          whenNotPaused
                          notBlacklisted(msg.sender)
                          notBlacklisted(from)
                          notBlacklisted(to)
                          returns (bool)
                      {
                          require(
                              value <= allowed[from][msg.sender],
                              "ERC20: transfer amount exceeds allowance"
                          );
                          _transfer(from, to, value);
                          allowed[from][msg.sender] = allowed[from][msg.sender].sub(value);
                          return true;
                      }
                      /**
                       * @notice Transfers tokens from the caller.
                       * @param to    Payee's address.
                       * @param value Transfer amount.
                       * @return True if the operation was successful.
                       */
                      function transfer(address to, uint256 value)
                          external
                          override
                          whenNotPaused
                          notBlacklisted(msg.sender)
                          notBlacklisted(to)
                          returns (bool)
                      {
                          _transfer(msg.sender, to, value);
                          return true;
                      }
                      /**
                       * @dev Internal function to process transfers.
                       * @param from  Payer's address.
                       * @param to    Payee's address.
                       * @param value Transfer amount.
                       */
                      function _transfer(
                          address from,
                          address to,
                          uint256 value
                      ) internal override {
                          require(from != address(0), "ERC20: transfer from the zero address");
                          require(to != address(0), "ERC20: transfer to the zero address");
                          require(
                              value <= _balanceOf(from),
                              "ERC20: transfer amount exceeds balance"
                          );
                          _setBalance(from, _balanceOf(from).sub(value));
                          _setBalance(to, _balanceOf(to).add(value));
                          emit Transfer(from, to, value);
                      }
                      /**
                       * @notice Adds or updates a new minter with a mint allowance.
                       * @param minter The address of the minter.
                       * @param minterAllowedAmount The minting amount allowed for the minter.
                       * @return True if the operation was successful.
                       */
                      function configureMinter(address minter, uint256 minterAllowedAmount)
                          external
                          whenNotPaused
                          onlyMasterMinter
                          returns (bool)
                      {
                          minters[minter] = true;
                          minterAllowed[minter] = minterAllowedAmount;
                          emit MinterConfigured(minter, minterAllowedAmount);
                          return true;
                      }
                      /**
                       * @notice Removes a minter.
                       * @param minter The address of the minter to remove.
                       * @return True if the operation was successful.
                       */
                      function removeMinter(address minter)
                          external
                          onlyMasterMinter
                          returns (bool)
                      {
                          minters[minter] = false;
                          minterAllowed[minter] = 0;
                          emit MinterRemoved(minter);
                          return true;
                      }
                      /**
                       * @notice Allows a minter to burn some of its own tokens.
                       * @dev The caller must be a minter, must not be blacklisted, and the amount to burn
                       * should be less than or equal to the account's balance.
                       * @param _amount the amount of tokens to be burned.
                       */
                      function burn(uint256 _amount)
                          external
                          whenNotPaused
                          onlyMinters
                          notBlacklisted(msg.sender)
                      {
                          uint256 balance = _balanceOf(msg.sender);
                          require(_amount > 0, "FiatToken: burn amount not greater than 0");
                          require(balance >= _amount, "FiatToken: burn amount exceeds balance");
                          totalSupply_ = totalSupply_.sub(_amount);
                          _setBalance(msg.sender, balance.sub(_amount));
                          emit Burn(msg.sender, _amount);
                          emit Transfer(msg.sender, address(0), _amount);
                      }
                      /**
                       * @notice Updates the master minter address.
                       * @param _newMasterMinter The address of the new master minter.
                       */
                      function updateMasterMinter(address _newMasterMinter) external onlyOwner {
                          require(
                              _newMasterMinter != address(0),
                              "FiatToken: new masterMinter is the zero address"
                          );
                          masterMinter = _newMasterMinter;
                          emit MasterMinterChanged(masterMinter);
                      }
                      /**
                       * @inheritdoc Blacklistable
                       */
                      function _blacklist(address _account) internal override {
                          _setBlacklistState(_account, true);
                      }
                      /**
                       * @inheritdoc Blacklistable
                       */
                      function _unBlacklist(address _account) internal override {
                          _setBlacklistState(_account, false);
                      }
                      /**
                       * @dev Helper method that sets the blacklist state of an account.
                       * @param _account         The address of the account.
                       * @param _shouldBlacklist True if the account should be blacklisted, false if the account should be unblacklisted.
                       */
                      function _setBlacklistState(address _account, bool _shouldBlacklist)
                          internal
                          virtual
                      {
                          _deprecatedBlacklisted[_account] = _shouldBlacklist;
                      }
                      /**
                       * @dev Helper method that sets the balance of an account.
                       * @param _account The address of the account.
                       * @param _balance The new fiat token balance of the account.
                       */
                      function _setBalance(address _account, uint256 _balance) internal virtual {
                          balanceAndBlacklistStates[_account] = _balance;
                      }
                      /**
                       * @inheritdoc Blacklistable
                       */
                      function _isBlacklisted(address _account)
                          internal
                          virtual
                          override
                          view
                          returns (bool)
                      {
                          return _deprecatedBlacklisted[_account];
                      }
                      /**
                       * @dev Helper method to obtain the balance of an account.
                       * @param _account  The address of the account.
                       * @return          The fiat token balance of the account.
                       */
                      function _balanceOf(address _account)
                          internal
                          virtual
                          view
                          returns (uint256)
                      {
                          return balanceAndBlacklistStates[_account];
                      }
                  }
                  /**
                   * SPDX-License-Identifier: Apache-2.0
                   *
                   * Copyright (c) 2023, Circle Internet Financial, LLC.
                   *
                   * Licensed under the Apache License, Version 2.0 (the "License");
                   * you may not use this file except in compliance with the License.
                   * You may obtain a copy of the License at
                   *
                   * http://www.apache.org/licenses/LICENSE-2.0
                   *
                   * Unless required by applicable law or agreed to in writing, software
                   * distributed under the License is distributed on an "AS IS" BASIS,
                   * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
                   * See the License for the specific language governing permissions and
                   * limitations under the License.
                   */
                  pragma solidity 0.6.12;
                  import { Ownable } from "./Ownable.sol";
                  /**
                   * @title Blacklistable Token
                   * @dev Allows accounts to be blacklisted by a "blacklister" role
                   */
                  abstract contract Blacklistable is Ownable {
                      address public blacklister;
                      mapping(address => bool) internal _deprecatedBlacklisted;
                      event Blacklisted(address indexed _account);
                      event UnBlacklisted(address indexed _account);
                      event BlacklisterChanged(address indexed newBlacklister);
                      /**
                       * @dev Throws if called by any account other than the blacklister.
                       */
                      modifier onlyBlacklister() {
                          require(
                              msg.sender == blacklister,
                              "Blacklistable: caller is not the blacklister"
                          );
                          _;
                      }
                      /**
                       * @dev Throws if argument account is blacklisted.
                       * @param _account The address to check.
                       */
                      modifier notBlacklisted(address _account) {
                          require(
                              !_isBlacklisted(_account),
                              "Blacklistable: account is blacklisted"
                          );
                          _;
                      }
                      /**
                       * @notice Checks if account is blacklisted.
                       * @param _account The address to check.
                       * @return True if the account is blacklisted, false if the account is not blacklisted.
                       */
                      function isBlacklisted(address _account) external view returns (bool) {
                          return _isBlacklisted(_account);
                      }
                      /**
                       * @notice Adds account to blacklist.
                       * @param _account The address to blacklist.
                       */
                      function blacklist(address _account) external onlyBlacklister {
                          _blacklist(_account);
                          emit Blacklisted(_account);
                      }
                      /**
                       * @notice Removes account from blacklist.
                       * @param _account The address to remove from the blacklist.
                       */
                      function unBlacklist(address _account) external onlyBlacklister {
                          _unBlacklist(_account);
                          emit UnBlacklisted(_account);
                      }
                      /**
                       * @notice Updates the blacklister address.
                       * @param _newBlacklister The address of the new blacklister.
                       */
                      function updateBlacklister(address _newBlacklister) external onlyOwner {
                          require(
                              _newBlacklister != address(0),
                              "Blacklistable: new blacklister is the zero address"
                          );
                          blacklister = _newBlacklister;
                          emit BlacklisterChanged(blacklister);
                      }
                      /**
                       * @dev Checks if account is blacklisted.
                       * @param _account The address to check.
                       * @return true if the account is blacklisted, false otherwise.
                       */
                      function _isBlacklisted(address _account)
                          internal
                          virtual
                          view
                          returns (bool);
                      /**
                       * @dev Helper method that blacklists an account.
                       * @param _account The address to blacklist.
                       */
                      function _blacklist(address _account) internal virtual;
                      /**
                       * @dev Helper method that unblacklists an account.
                       * @param _account The address to unblacklist.
                       */
                      function _unBlacklist(address _account) internal virtual;
                  }
                  /**
                   * SPDX-License-Identifier: Apache-2.0
                   *
                   * Copyright (c) 2023, Circle Internet Financial, LLC.
                   *
                   * Licensed under the Apache License, Version 2.0 (the "License");
                   * you may not use this file except in compliance with the License.
                   * You may obtain a copy of the License at
                   *
                   * http://www.apache.org/licenses/LICENSE-2.0
                   *
                   * Unless required by applicable law or agreed to in writing, software
                   * distributed under the License is distributed on an "AS IS" BASIS,
                   * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
                   * See the License for the specific language governing permissions and
                   * limitations under the License.
                   */
                  pragma solidity 0.6.12;
                  import { IERC20 } from "@openzeppelin/contracts/token/ERC20/IERC20.sol";
                  abstract contract AbstractFiatTokenV1 is IERC20 {
                      function _approve(
                          address owner,
                          address spender,
                          uint256 value
                      ) internal virtual;
                      function _transfer(
                          address from,
                          address to,
                          uint256 value
                      ) internal virtual;
                  }
                  /**
                   * SPDX-License-Identifier: Apache-2.0
                   *
                   * Copyright (c) 2023, Circle Internet Financial, LLC.
                   *
                   * Licensed under the Apache License, Version 2.0 (the "License");
                   * you may not use this file except in compliance with the License.
                   * You may obtain a copy of the License at
                   *
                   * http://www.apache.org/licenses/LICENSE-2.0
                   *
                   * Unless required by applicable law or agreed to in writing, software
                   * distributed under the License is distributed on an "AS IS" BASIS,
                   * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
                   * See the License for the specific language governing permissions and
                   * limitations under the License.
                   */
                  pragma solidity 0.6.12;
                  import { Ownable } from "../v1/Ownable.sol";
                  import { IERC20 } from "@openzeppelin/contracts/token/ERC20/IERC20.sol";
                  import { SafeERC20 } from "@openzeppelin/contracts/token/ERC20/SafeERC20.sol";
                  contract Rescuable is Ownable {
                      using SafeERC20 for IERC20;
                      address private _rescuer;
                      event RescuerChanged(address indexed newRescuer);
                      /**
                       * @notice Returns current rescuer
                       * @return Rescuer's address
                       */
                      function rescuer() external view returns (address) {
                          return _rescuer;
                      }
                      /**
                       * @notice Revert if called by any account other than the rescuer.
                       */
                      modifier onlyRescuer() {
                          require(msg.sender == _rescuer, "Rescuable: caller is not the rescuer");
                          _;
                      }
                      /**
                       * @notice Rescue ERC20 tokens locked up in this contract.
                       * @param tokenContract ERC20 token contract address
                       * @param to        Recipient address
                       * @param amount    Amount to withdraw
                       */
                      function rescueERC20(
                          IERC20 tokenContract,
                          address to,
                          uint256 amount
                      ) external onlyRescuer {
                          tokenContract.safeTransfer(to, amount);
                      }
                      /**
                       * @notice Updates the rescuer address.
                       * @param newRescuer The address of the new rescuer.
                       */
                      function updateRescuer(address newRescuer) external onlyOwner {
                          require(
                              newRescuer != address(0),
                              "Rescuable: new rescuer is the zero address"
                          );
                          _rescuer = newRescuer;
                          emit RescuerChanged(newRescuer);
                      }
                  }
                  /**
                   * SPDX-License-Identifier: Apache-2.0
                   *
                   * Copyright (c) 2023, Circle Internet Financial, LLC.
                   *
                   * Licensed under the Apache License, Version 2.0 (the "License");
                   * you may not use this file except in compliance with the License.
                   * You may obtain a copy of the License at
                   *
                   * http://www.apache.org/licenses/LICENSE-2.0
                   *
                   * Unless required by applicable law or agreed to in writing, software
                   * distributed under the License is distributed on an "AS IS" BASIS,
                   * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
                   * See the License for the specific language governing permissions and
                   * limitations under the License.
                   */
                  pragma solidity 0.6.12;
                  import { FiatTokenV1 } from "../v1/FiatTokenV1.sol";
                  import { Rescuable } from "./Rescuable.sol";
                  /**
                   * @title FiatTokenV1_1
                   * @dev ERC20 Token backed by fiat reserves
                   */
                  contract FiatTokenV1_1 is FiatTokenV1, Rescuable {
                  }
                  /**
                   * SPDX-License-Identifier: Apache-2.0
                   *
                   * Copyright (c) 2023, Circle Internet Financial, LLC.
                   *
                   * Licensed under the Apache License, Version 2.0 (the "License");
                   * you may not use this file except in compliance with the License.
                   * You may obtain a copy of the License at
                   *
                   * http://www.apache.org/licenses/LICENSE-2.0
                   *
                   * Unless required by applicable law or agreed to in writing, software
                   * distributed under the License is distributed on an "AS IS" BASIS,
                   * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
                   * See the License for the specific language governing permissions and
                   * limitations under the License.
                   */
                  pragma solidity 0.6.12;
                  import { ECRecover } from "./ECRecover.sol";
                  import { IERC1271 } from "../interface/IERC1271.sol";
                  /**
                   * @dev Signature verification helper that can be used instead of `ECRecover.recover` to seamlessly support both ECDSA
                   * signatures from externally owned accounts (EOAs) as well as ERC1271 signatures from smart contract wallets.
                   *
                   * Adapted from https://github.com/OpenZeppelin/openzeppelin-contracts/blob/21bb89ef5bfc789b9333eb05e3ba2b7b284ac77c/contracts/utils/cryptography/SignatureChecker.sol
                   */
                  library SignatureChecker {
                      /**
                       * @dev Checks if a signature is valid for a given signer and data hash. If the signer is a smart contract, the
                       * signature is validated against that smart contract using ERC1271, otherwise it's validated using `ECRecover.recover`.
                       * @param signer        Address of the claimed signer
                       * @param digest        Keccak-256 hash digest of the signed message
                       * @param signature     Signature byte array associated with hash
                       */
                      function isValidSignatureNow(
                          address signer,
                          bytes32 digest,
                          bytes memory signature
                      ) external view returns (bool) {
                          if (!isContract(signer)) {
                              return ECRecover.recover(digest, signature) == signer;
                          }
                          return isValidERC1271SignatureNow(signer, digest, signature);
                      }
                      /**
                       * @dev Checks if a signature is valid for a given signer and data hash. The signature is validated
                       * against the signer smart contract using ERC1271.
                       * @param signer        Address of the claimed signer
                       * @param digest        Keccak-256 hash digest of the signed message
                       * @param signature     Signature byte array associated with hash
                       *
                       * NOTE: Unlike ECDSA signatures, contract signatures are revocable, and the outcome of this function can thus
                       * change through time. It could return true at block N and false at block N+1 (or the opposite).
                       */
                      function isValidERC1271SignatureNow(
                          address signer,
                          bytes32 digest,
                          bytes memory signature
                      ) internal view returns (bool) {
                          (bool success, bytes memory result) = signer.staticcall(
                              abi.encodeWithSelector(
                                  IERC1271.isValidSignature.selector,
                                  digest,
                                  signature
                              )
                          );
                          return (success &&
                              result.length >= 32 &&
                              abi.decode(result, (bytes32)) ==
                              bytes32(IERC1271.isValidSignature.selector));
                      }
                      /**
                       * @dev Checks if the input address is a smart contract.
                       */
                      function isContract(address addr) internal view returns (bool) {
                          uint256 size;
                          assembly {
                              size := extcodesize(addr)
                          }
                          return size > 0;
                      }
                  }
                  /**
                   * SPDX-License-Identifier: Apache-2.0
                   *
                   * Copyright (c) 2023, Circle Internet Financial, LLC.
                   *
                   * Licensed under the Apache License, Version 2.0 (the "License");
                   * you may not use this file except in compliance with the License.
                   * You may obtain a copy of the License at
                   *
                   * http://www.apache.org/licenses/LICENSE-2.0
                   *
                   * Unless required by applicable law or agreed to in writing, software
                   * distributed under the License is distributed on an "AS IS" BASIS,
                   * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
                   * See the License for the specific language governing permissions and
                   * limitations under the License.
                   */
                  pragma solidity 0.6.12;
                  /**
                   * @dev Signature message hash utilities for producing digests to be consumed by {ECDSA} recovery or signing.
                   *
                   * The library provides methods for generating a hash of a message that conforms to the
                   * https://eips.ethereum.org/EIPS/eip-191[EIP 191] and https://eips.ethereum.org/EIPS/eip-712[EIP 712]
                   * specifications.
                   */
                  library MessageHashUtils {
                      /**
                       * @dev Returns the keccak256 digest of an EIP-712 typed data (EIP-191 version `0x01`).
                       * Adapted from https://github.com/OpenZeppelin/openzeppelin-contracts/blob/21bb89ef5bfc789b9333eb05e3ba2b7b284ac77c/contracts/utils/cryptography/MessageHashUtils.sol
                       *
                       * The digest is calculated from a `domainSeparator` and a `structHash`, by prefixing them with
                       * `\\x19\\x01` and hashing the result. It corresponds to the hash signed by the
                       * https://eips.ethereum.org/EIPS/eip-712[`eth_signTypedData`] JSON-RPC method as part of EIP-712.
                       *
                       * @param domainSeparator    Domain separator
                       * @param structHash         Hashed EIP-712 data struct
                       * @return digest            The keccak256 digest of an EIP-712 typed data
                       */
                      function toTypedDataHash(bytes32 domainSeparator, bytes32 structHash)
                          internal
                          pure
                          returns (bytes32 digest)
                      {
                          assembly {
                              let ptr := mload(0x40)
                              mstore(ptr, "\\x19\\x01")
                              mstore(add(ptr, 0x02), domainSeparator)
                              mstore(add(ptr, 0x22), structHash)
                              digest := keccak256(ptr, 0x42)
                          }
                      }
                  }
                  /**
                   * SPDX-License-Identifier: Apache-2.0
                   *
                   * Copyright (c) 2023, Circle Internet Financial, LLC.
                   *
                   * Licensed under the Apache License, Version 2.0 (the "License");
                   * you may not use this file except in compliance with the License.
                   * You may obtain a copy of the License at
                   *
                   * http://www.apache.org/licenses/LICENSE-2.0
                   *
                   * Unless required by applicable law or agreed to in writing, software
                   * distributed under the License is distributed on an "AS IS" BASIS,
                   * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
                   * See the License for the specific language governing permissions and
                   * limitations under the License.
                   */
                  pragma solidity 0.6.12;
                  /**
                   * @title EIP712
                   * @notice A library that provides EIP712 helper functions
                   */
                  library EIP712 {
                      /**
                       * @notice Make EIP712 domain separator
                       * @param name      Contract name
                       * @param version   Contract version
                       * @param chainId   Blockchain ID
                       * @return Domain separator
                       */
                      function makeDomainSeparator(
                          string memory name,
                          string memory version,
                          uint256 chainId
                      ) internal view returns (bytes32) {
                          return
                              keccak256(
                                  abi.encode(
                                      // keccak256("EIP712Domain(string name,string version,uint256 chainId,address verifyingContract)")
                                      0x8b73c3c69bb8fe3d512ecc4cf759cc79239f7b179b0ffacaa9a75d522b39400f,
                                      keccak256(bytes(name)),
                                      keccak256(bytes(version)),
                                      chainId,
                                      address(this)
                                  )
                              );
                      }
                      /**
                       * @notice Make EIP712 domain separator
                       * @param name      Contract name
                       * @param version   Contract version
                       * @return Domain separator
                       */
                      function makeDomainSeparator(string memory name, string memory version)
                          internal
                          view
                          returns (bytes32)
                      {
                          uint256 chainId;
                          assembly {
                              chainId := chainid()
                          }
                          return makeDomainSeparator(name, version, chainId);
                      }
                  }
                  /**
                   * SPDX-License-Identifier: Apache-2.0
                   *
                   * Copyright (c) 2023, Circle Internet Financial, LLC.
                   *
                   * Licensed under the Apache License, Version 2.0 (the "License");
                   * you may not use this file except in compliance with the License.
                   * You may obtain a copy of the License at
                   *
                   * http://www.apache.org/licenses/LICENSE-2.0
                   *
                   * Unless required by applicable law or agreed to in writing, software
                   * distributed under the License is distributed on an "AS IS" BASIS,
                   * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
                   * See the License for the specific language governing permissions and
                   * limitations under the License.
                   */
                  pragma solidity 0.6.12;
                  /**
                   * @title ECRecover
                   * @notice A library that provides a safe ECDSA recovery function
                   */
                  library ECRecover {
                      /**
                       * @notice Recover signer's address from a signed message
                       * @dev Adapted from: https://github.com/OpenZeppelin/openzeppelin-contracts/blob/65e4ffde586ec89af3b7e9140bdc9235d1254853/contracts/cryptography/ECDSA.sol
                       * Modifications: Accept v, r, and s as separate arguments
                       * @param digest    Keccak-256 hash digest of the signed message
                       * @param v         v of the signature
                       * @param r         r of the signature
                       * @param s         s of the signature
                       * @return Signer address
                       */
                      function recover(
                          bytes32 digest,
                          uint8 v,
                          bytes32 r,
                          bytes32 s
                      ) internal pure returns (address) {
                          // EIP-2 still allows signature malleability for ecrecover(). Remove this possibility and make the signature
                          // unique. Appendix F in the Ethereum Yellow paper (https://ethereum.github.io/yellowpaper/paper.pdf), defines
                          // the valid range for s in (281): 0 < s < secp256k1n ÷ 2 + 1, and for v in (282): v ∈ {27, 28}. Most
                          // signatures from current libraries generate a unique signature with an s-value in the lower half order.
                          //
                          // If your library generates malleable signatures, such as s-values in the upper range, calculate a new s-value
                          // with 0xFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEBAAEDCE6AF48A03BBFD25E8CD0364141 - s1 and flip v from 27 to 28 or
                          // vice versa. If your library also generates signatures with 0/1 for v instead 27/28, add 27 to v to accept
                          // these malleable signatures as well.
                          if (
                              uint256(s) >
                              0x7FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF5D576E7357A4501DDFE92F46681B20A0
                          ) {
                              revert("ECRecover: invalid signature 's' value");
                          }
                          if (v != 27 && v != 28) {
                              revert("ECRecover: invalid signature 'v' value");
                          }
                          // If the signature is valid (and not malleable), return the signer address
                          address signer = ecrecover(digest, v, r, s);
                          require(signer != address(0), "ECRecover: invalid signature");
                          return signer;
                      }
                      /**
                       * @notice Recover signer's address from a signed message
                       * @dev Adapted from: https://github.com/OpenZeppelin/openzeppelin-contracts/blob/0053ee040a7ff1dbc39691c9e67a69f564930a88/contracts/utils/cryptography/ECDSA.sol
                       * @param digest    Keccak-256 hash digest of the signed message
                       * @param signature Signature byte array associated with hash
                       * @return Signer address
                       */
                      function recover(bytes32 digest, bytes memory signature)
                          internal
                          pure
                          returns (address)
                      {
                          require(signature.length == 65, "ECRecover: invalid signature length");
                          bytes32 r;
                          bytes32 s;
                          uint8 v;
                          // ecrecover takes the signature parameters, and the only way to get them
                          // currently is to use assembly.
                          /// @solidity memory-safe-assembly
                          assembly {
                              r := mload(add(signature, 0x20))
                              s := mload(add(signature, 0x40))
                              v := byte(0, mload(add(signature, 0x60)))
                          }
                          return recover(digest, v, r, s);
                      }
                  }
                  /**
                   * SPDX-License-Identifier: Apache-2.0
                   *
                   * Copyright (c) 2023, Circle Internet Financial, LLC.
                   *
                   * Licensed under the Apache License, Version 2.0 (the "License");
                   * you may not use this file except in compliance with the License.
                   * You may obtain a copy of the License at
                   *
                   * http://www.apache.org/licenses/LICENSE-2.0
                   *
                   * Unless required by applicable law or agreed to in writing, software
                   * distributed under the License is distributed on an "AS IS" BASIS,
                   * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
                   * See the License for the specific language governing permissions and
                   * limitations under the License.
                   */
                  pragma solidity 0.6.12;
                  /**
                   * @dev Interface of the ERC1271 standard signature validation method for
                   * contracts as defined in https://eips.ethereum.org/EIPS/eip-1271[ERC-1271].
                   */
                  interface IERC1271 {
                      /**
                       * @dev Should return whether the signature provided is valid for the provided data
                       * @param hash          Hash of the data to be signed
                       * @param signature     Signature byte array associated with the provided data hash
                       * @return magicValue   bytes4 magic value 0x1626ba7e when function passes
                       */
                      function isValidSignature(bytes32 hash, bytes memory signature)
                          external
                          view
                          returns (bytes4 magicValue);
                  }
                  

                  File 6 of 6: GSP
                  /*
                      Copyright 2020 DODO ZOO.
                      SPDX-License-Identifier: Apache-2.0
                  */
                  pragma solidity 0.8.16;
                  import {IERC20} from "@openzeppelin/contracts/token/ERC20/IERC20.sol";
                  import {IERC20Metadata} from "@openzeppelin/contracts/token/ERC20/extensions/IERC20Metadata.sol";
                  import {GSPTrader} from "./GSPTrader.sol";
                  import {GSPFunding} from "./GSPFunding.sol";
                  import {GSPVault} from "./GSPVault.sol";
                  /**
                   * @title DODO GasSavingPool
                   * @author DODO Breeder
                   *
                   * @notice DODO GasSavingPool initialization
                   */
                  contract GSP is GSPTrader, GSPFunding {
                      /**
                       * @notice Function will be called in factory, init risk should not be included.
                       * @param maintainer The dodo's address, who can claim mtFee and own this pool
                       * @param admin oracle owner address, who can set price.
                       * @param baseTokenAddress The base token address
                       * @param quoteTokenAddress The quote token address
                       * @param lpFeeRate The rate of lp fee, with 18 decimal
                       * @param mtFeeRate The rate of mt fee, with 18 decimal
                       * @param i The oracle price, possible to be changed only by maintainer
                       * @param k The swap curve parameter
                       * @param priceLimit The limit of the setting range of the I
                       * @param isOpenTWAP Useless, always false, just for compatible with old version pool
                       */
                      function init(
                          address maintainer,
                          address admin,
                          address baseTokenAddress,
                          address quoteTokenAddress,
                          uint256 lpFeeRate,
                          uint256 mtFeeRate,
                          uint256 i,
                          uint256 k,
                          uint256 priceLimit,
                          bool isOpenTWAP
                      ) external {
                          // GSP can only be initialized once
                          require(!_GSP_INITIALIZED_, "GSP_INITIALIZED");
                          // _GSP_INITIALIZED_ is set to true after initialization
                          _GSP_INITIALIZED_ = true;
                          // baseTokenAddress and quoteTokenAddress should not be the same
                          require(baseTokenAddress != quoteTokenAddress, "BASE_QUOTE_CAN_NOT_BE_SAME");
                          // _BASE_TOKEN_ and _QUOTE_TOKEN_ should be valid ERC20 tokens
                          _BASE_TOKEN_ = IERC20(baseTokenAddress);
                          _QUOTE_TOKEN_ = IERC20(quoteTokenAddress);
                          // i should be greater than 0 and less than 10**36
                          require(i > 0 && i <= 10**36);
                          _I_ = i;
                          // k should be greater than 0 and less than 10**18
                          require(k <= 10**18);
                          _K_ = k;
                          // _LP_FEE_RATE_ is set when initialization
                          _LP_FEE_RATE_ = lpFeeRate;
                          // _MT_FEE_RATE_ is set when initialization
                          _MT_FEE_RATE_ = mtFeeRate;
                          // _MAINTAINER_ is set when initialization, the address receives the fee
                          _MAINTAINER_ = maintainer;
                          _ADMIN_ = admin;
                          _PRICE_LIMIT_ = priceLimit;
                          // _IS_OPEN_TWAP_ is always false
                          _IS_OPEN_TWAP_ = false;
                          string memory connect = "_";
                          string memory suffix = "GSP";
                          // name of the shares is the combination of suffix, connect and string of the GSP
                          name = string(abi.encodePacked(suffix, connect, addressToShortString(address(this))));
                          // symbol of the shares is GLP
                          symbol = "GLP";
                          // decimals of the shares is the same as the base token decimals
                          decimals = IERC20Metadata(baseTokenAddress).decimals();
                          // initialize DOMAIN_SEPARATOR
                          buildDomainSeparator();
                          // ==========================================================================
                      }
                      // ============================== Permit ====================================
                      /**
                       * @notice DOMAIN_SEPARATOR is used for approve by signature
                       */
                      function buildDomainSeparator() public returns (bytes32){
                          string memory connect = "_";
                          string memory suffix = "GSP";
                          // name of the shares is the combination of suffix, connect and string of the GSP
                          string memory name = string(abi.encodePacked(suffix, connect, addressToShortString(address(this))));
                          DOMAIN_SEPARATOR = keccak256(
                              abi.encode(
                                  // keccak256('EIP712Domain(string name,string version,uint256 chainId,address verifyingContract)'),
                                  0x8b73c3c69bb8fe3d512ecc4cf759cc79239f7b179b0ffacaa9a75d522b39400f,
                                  keccak256(bytes(name)),
                                  keccak256(bytes("1")),
                                  block.chainid,
                                  address(this)
                              )
                          );
                          return DOMAIN_SEPARATOR;
                      }
                      /**
                       * @notice Convert the address to a shorter string
                       * @param _addr The address to convert
                       * @return A string representation of _addr in hexadecimal
                       */
                      function addressToShortString(address _addr) public pure returns (string memory) {
                          bytes32 value = bytes32(uint256(uint160(_addr)));
                          bytes memory alphabet = "0123456789abcdef";
                          bytes memory str = new bytes(8);
                          for (uint256 i = 0; i < 4; i++) {
                              str[i * 2] = alphabet[uint8(value[i + 12] >> 4)];
                              str[1 + i * 2] = alphabet[uint8(value[i + 12] & 0x0f)];
                          }
                          return string(str);
                      }
                      // ============ Version Control ============
                      /**
                       * @notice Return the version of DODOGasSavingPool
                       * @return The current version is 1.0.1
                       */
                      function version() external pure returns (string memory) {
                          return "GSP 1.0.1";
                      }
                  }
                  /*
                      Copyright 2020 DODO ZOO.
                      SPDX-License-Identifier: Apache-2.0
                  */
                  pragma solidity 0.8.16;
                  import {DecimalMath} from "../../lib/DecimalMath.sol";
                  import {PMMPricing} from "../../lib/PMMPricing.sol";
                  import {IERC20} from "@openzeppelin/contracts/token/ERC20/IERC20.sol";
                  import {SafeERC20} from "@openzeppelin/contracts/token/ERC20/utils/SafeERC20.sol";
                  import {GSPStorage} from "./GSPStorage.sol";
                  contract GSPVault is GSPStorage {
                      using SafeERC20 for IERC20;
                      // ============ Modifiers ============
                      /// @notice Check whether the caller is maintainer
                      modifier onlyMaintainer() {
                          require(msg.sender == _MAINTAINER_, "ACCESS_DENIED");
                          _;
                      }
                      /// @notice Check whether the caller is admin
                      modifier onlyAdmin() {
                          require(msg.sender == _ADMIN_, "ADMIN_ACCESS_DENIED");
                          _;
                      }
                      // ============ Events ============
                      event Transfer(address indexed from, address indexed to, uint256 amount);
                      event Approval(address indexed owner, address indexed spender, uint256 amount);
                      event Mint(address indexed user, uint256 value);
                      event Burn(address indexed user, uint256 value);
                      event MtFeeRateChange(uint256 newMtFee);
                      event LpFeeRateChange(uint256 newLpFee);
                      event IChange(uint256 newI);
                      event KChange(uint256 newK);
                      event WithdrawMtFee(address indexed token, uint256 amount);
                      // ============ View Functions ============
                      /**
                       * @notice Get the reserves of the pool
                       * @return baseReserve The base token reserve
                       * @return quoteReserve The quote token reserve
                       */
                      function getVaultReserve() external view returns (uint256 baseReserve, uint256 quoteReserve) {
                          baseReserve = _BASE_RESERVE_;
                          quoteReserve = _QUOTE_RESERVE_;
                      }
                      /**
                       * @notice Get the fee rate of the pool
                       * @param user Useless, just keep the same interface with old version pool
                       * @return lpFeeRate The lp fee rate
                       * @return mtFeeRate The mt fee rate
                       */
                      function getUserFeeRate(address user) 
                          external 
                          view 
                          returns (uint256 lpFeeRate, uint256 mtFeeRate) 
                      {
                          lpFeeRate = _LP_FEE_RATE_;
                          mtFeeRate = _MT_FEE_RATE_;
                      }
                      // ============ Asset In ============
                      /**
                       * @notice Get the amount of base token transferred in
                       * @dev The amount of base token input should be the base token reserve minus the mt fee in base token
                       * @return input The amount of base token transferred in
                       */
                      function getBaseInput() public view returns (uint256 input) {
                          return _BASE_TOKEN_.balanceOf(address(this)) - uint256(_BASE_RESERVE_) - uint256(_MT_FEE_BASE_);
                      }
                      /**
                       * @notice Get the amount of quote token transferred in
                       * @dev The amount of quote token input should be the quote token reserve minus the mt fee in quote token
                       * @return input The amount of quote token transferred in
                       */
                      function getQuoteInput() public view returns (uint256 input) {
                          return _QUOTE_TOKEN_.balanceOf(address(this)) - uint256(_QUOTE_RESERVE_) - uint256(_MT_FEE_QUOTE_);
                      }
                      // ============ Set States ============
                      /**
                       * @notice Set the reserves of the pool, internal use only
                       * @param baseReserve The base token reserve
                       * @param quoteReserve The quote token reserve
                       */
                      function _setReserve(uint256 baseReserve, uint256 quoteReserve) internal {
                          // the reserves should be less than the max uint112
                          require(baseReserve <= type(uint112).max && quoteReserve <= type(uint112).max, "OVERFLOW");
                          _BASE_RESERVE_ = uint112(baseReserve);
                          _QUOTE_RESERVE_ = uint112(quoteReserve);
                      }
                      /**
                       * @notice Sync the reserves of the pool, internal use only
                       * @dev The balances of the pool should be actual balances minus the mt fee
                       */
                      function _sync() internal {
                          uint256 baseBalance = _BASE_TOKEN_.balanceOf(address(this)) - uint256(_MT_FEE_BASE_);
                          uint256 quoteBalance = _QUOTE_TOKEN_.balanceOf(address(this)) - uint256(_MT_FEE_QUOTE_);
                          // the reserves should be less than the max uint112
                          require(baseBalance <= type(uint112).max && quoteBalance <= type(uint112).max, "OVERFLOW");
                          if (baseBalance != _BASE_RESERVE_) {
                              _BASE_RESERVE_ = uint112(baseBalance);
                          }
                          if (quoteBalance != _QUOTE_RESERVE_) {
                              _QUOTE_RESERVE_ = uint112(quoteBalance);
                          }
                      }
                      /// @notice Sync the reserves of the pool
                      function sync() external nonReentrant {
                          _sync();
                      }
                      /// @notice Correct the rState of the pool, details in pmm algorithm
                      function correctRState() public {
                          if (_RState_ == uint32(PMMPricing.RState.BELOW_ONE) && _BASE_RESERVE_<_BASE_TARGET_) {
                            _RState_ = uint32(PMMPricing.RState.ONE);
                            _BASE_TARGET_ = _BASE_RESERVE_;
                            _QUOTE_TARGET_ = _QUOTE_RESERVE_;
                          }
                          if (_RState_ == uint32(PMMPricing.RState.ABOVE_ONE) && _QUOTE_RESERVE_<_QUOTE_TARGET_) {
                            _RState_ = uint32(PMMPricing.RState.ONE);
                            _BASE_TARGET_ = _BASE_RESERVE_;
                            _QUOTE_TARGET_ = _QUOTE_RESERVE_;
                          }
                      }
                      /**
                       * @notice PriceLimit is used for oracle change protection
                       * @notice It sets a ratio where the relative deviation between the new price and the old price cannot exceed this ratio.
                       * @dev The default priceLimit is 1e3, the decimals of priceLimit is 1e6
                       * @param priceLimit The new price limit
                       */
                      function adjustPriceLimit(uint256 priceLimit) external onlyAdmin {
                          // the default priceLimit is 1e3
                          require(priceLimit <= 1e6, "INVALID_PRICE_LIMIT");
                          _PRICE_LIMIT_ = priceLimit;
                      }
                      /**
                       * @notice Adjust oricle price i, only for admin
                       */
                      function adjustPrice(uint256 i) external onlyAdmin {
                          // the difference between i and _I_ should be less than priceLimit
                          uint256 offset = i > _I_ ? i - _I_ : _I_ - i;
                          require((offset * 1e6 / _I_) <= _PRICE_LIMIT_, "EXCEED_PRICE_LIMIT");
                          _I_ = i;
                          
                          emit IChange(i);
                      }
                      /**
                       * @notice Adjust mtFee rate, only for maintainer
                       * @dev The decimals of mtFee rate is 1e18
                       * @param mtFeeRate The new mtFee rate
                       */
                      function adjustMtFeeRate(uint256 mtFeeRate) external onlyMaintainer {
                          require(mtFeeRate <= 10**18, "INVALID_MT_FEE_RATE");
                          _MT_FEE_RATE_ = mtFeeRate;
                          emit MtFeeRateChange(mtFeeRate);
                      }
                      /**
                       * @notice Adjust lpFee rate, only for maintainer
                       * @dev The decimals of lpFee rate is 1e18
                       * @param lpFeeRate The new lpFee rate
                       */
                      function adjustLpFeeRate(uint256 lpFeeRate) external onlyMaintainer {
                          require(lpFeeRate <= 10**18, "INVALID_LP_FEE_RATE");
                          _LP_FEE_RATE_ = lpFeeRate;
                          emit LpFeeRateChange(lpFeeRate);
                      }
                      /**
                       * @notice Adjust swap curve parameter k, only for maintainer
                       * @dev The decimals of k is 1e18
                       * @param k The new swap curve parameter k
                       */
                      function adjustK(uint256 k) external onlyMaintainer {
                          require(k <= 10**18, "INVALID_K");
                          _K_ = k;
                          emit KChange(k);
                      }
                      // ============ Asset Out ============
                      /**
                       * @notice Transfer base token out, internal use only
                       * @param to The address of the receiver
                       * @param amount The amount of base token to transfer out
                       */
                      function _transferBaseOut(address to, uint256 amount) internal {
                          if (amount > 0) {
                              _BASE_TOKEN_.safeTransfer(to, amount);
                          }
                      }
                      /**
                       * @notice Transfer quote token out, internal use only
                       * @param to The address of the receiver
                       * @param amount The amount of quote token to transfer out
                       */
                      function _transferQuoteOut(address to, uint256 amount) internal {
                          if (amount > 0) {
                              _QUOTE_TOKEN_.safeTransfer(to, amount);
                          }
                      }
                      /// @notice Maintainer withdraw mtFee, only for maintainer
                      function withdrawMtFeeTotal() external nonReentrant onlyMaintainer {
                          uint256 mtFeeQuote = _MT_FEE_QUOTE_;
                          uint256 mtFeeBase = _MT_FEE_BASE_;
                          _MT_FEE_QUOTE_ = 0;
                          _transferQuoteOut(_MAINTAINER_, mtFeeQuote);
                          _MT_FEE_BASE_ = 0;
                          _transferBaseOut(_MAINTAINER_, mtFeeBase);
                          emit WithdrawMtFee(address(_QUOTE_TOKEN_), mtFeeQuote);
                          emit WithdrawMtFee(address(_BASE_TOKEN_), mtFeeBase);
                      }
                      // ============ Shares (ERC20) ============
                      /**
                       * @dev Transfer token for a specified address
                       * @param to The address to transfer to.
                       * @param amount The amount to be transferred.
                       */
                      function transfer(address to, uint256 amount) public returns (bool) {
                          require(amount <= _SHARES_[msg.sender], "BALANCE_NOT_ENOUGH");
                          _SHARES_[msg.sender] = _SHARES_[msg.sender] - (amount);
                          _SHARES_[to] = _SHARES_[to] + amount;
                          emit Transfer(msg.sender, to, amount);
                          return true;
                      }
                      /**
                       * @dev Gets the balance of the specified address.
                       * @param owner The address to query the the balance of.
                       * @return balance An uint256 representing the amount owned by the passed address.
                       */
                      function balanceOf(address owner) external view returns (uint256 balance) {
                          return _SHARES_[owner];
                      }
                      /**
                       * @dev Transfer tokens from one address to another
                       * @param from address The address which you want to send tokens from
                       * @param to address The address which you want to transfer to
                       * @param amount uint256 the amount of tokens to be transferred
                       */
                      function transferFrom(
                          address from,
                          address to,
                          uint256 amount
                      ) public returns (bool) {
                          require(amount <= _SHARES_[from], "BALANCE_NOT_ENOUGH");
                          require(amount <= _ALLOWED_[from][msg.sender], "ALLOWANCE_NOT_ENOUGH");
                          _SHARES_[from] = _SHARES_[from] - amount;
                          _SHARES_[to] = _SHARES_[to] + amount;
                          _ALLOWED_[from][msg.sender] = _ALLOWED_[from][msg.sender] - amount;
                          emit Transfer(from, to, amount);
                          return true;
                      }
                      /**
                       * @dev Approve the passed address to spend the specified amount of tokens on behalf of msg.sender.
                       * @param spender The address which will spend the funds.
                       * @param amount The amount of tokens to be spent.
                       */
                      function approve(address spender, uint256 amount) public returns (bool) {
                          _approve(msg.sender, spender, amount);
                          return true;
                      }
                      function _approve(
                          address owner,
                          address spender,
                          uint256 amount
                      ) private {
                          _ALLOWED_[owner][spender] = amount;
                          emit Approval(owner, spender, amount);
                      }
                      /**
                       * @dev Function to check the amount of tokens that an owner _ALLOWED_ to a spender.
                       * @param owner address The address which owns the funds.
                       * @param spender address The address which will spend the funds.
                       * @return A uint256 specifying the amount of tokens still available for the spender.
                       */
                      function allowance(address owner, address spender) public view returns (uint256) {
                          return _ALLOWED_[owner][spender];
                      }
                      function _mint(address user, uint256 value) internal {
                          require(value > 1000, "MINT_AMOUNT_NOT_ENOUGH");
                          _SHARES_[user] = _SHARES_[user] + value;
                          totalSupply = totalSupply + value;
                          emit Mint(user, value);
                          emit Transfer(address(0), user, value);
                      }
                      function _burn(address user, uint256 value) internal {
                          _SHARES_[user] = _SHARES_[user] - value;
                          totalSupply = totalSupply - value;
                          emit Burn(user, value);
                          emit Transfer(user, address(0), value);
                      }
                      // ============================ Permit ======================================
                      function permit(
                          address owner,
                          address spender,
                          uint256 value,
                          uint256 deadline,
                          uint8 v,
                          bytes32 r,
                          bytes32 s
                      ) external {
                          require(deadline >= block.timestamp, "DODO_GSP_LP: EXPIRED");
                          bytes32 digest =
                              keccak256(
                                  abi.encodePacked(
                                      "\\x19\\x01",
                                      DOMAIN_SEPARATOR,
                                      keccak256(
                                          abi.encode(
                                              PERMIT_TYPEHASH,
                                              owner,
                                              spender,
                                              value,
                                              nonces[owner]++,
                                              deadline
                                          )
                                      )
                                  )
                              );
                          address recoveredAddress = ecrecover(digest, v, r, s);
                          require(
                              recoveredAddress != address(0) && recoveredAddress == owner,
                              "DODO_GSP_LP: INVALID_SIGNATURE"
                          );
                          _approve(owner, spender, value);
                      }
                  }/*
                      Copyright 2020 DODO ZOO.
                      SPDX-License-Identifier: Apache-2.0
                  */
                  pragma solidity 0.8.16;
                  import {GSPVault} from "./GSPVault.sol";
                  import {DecimalMath} from "../../lib/DecimalMath.sol";
                  import {IDODOCallee} from "../../intf/IDODOCallee.sol";
                  /// @notice this part focus on Lp tokens, mint and burn
                  contract GSPFunding is GSPVault {
                      // ============ Events ============
                      event BuyShares(address to, uint256 increaseShares, uint256 totalShares);
                      event SellShares(address payer, address to, uint256 decreaseShares, uint256 totalShares);
                      // ============ Buy & Sell Shares ============
                      
                      /// @notice User mint Lp token and deposit tokens, the result is rounded down
                      /// @dev User first transfer baseToken and quoteToken to GSP, then call buyShares
                      /// @param to The address will receive shares
                      /// @return shares The amount of shares user will receive
                      /// @return baseInput The amount of baseToken user transfer to GSP
                      /// @return quoteInput The amount of quoteToken user transfer to GSP
                      function buyShares(address to)
                          external
                          nonReentrant
                          returns (
                              uint256 shares,
                              uint256 baseInput,
                              uint256 quoteInput
                          )
                      {
                          // The balance of baseToken and quoteToken should be the balance minus the fee
                          uint256 baseBalance = _BASE_TOKEN_.balanceOf(address(this)) - _MT_FEE_BASE_;
                          uint256 quoteBalance = _QUOTE_TOKEN_.balanceOf(address(this)) - _MT_FEE_QUOTE_;
                          // The reserve of baseToken and quoteToken
                          uint256 baseReserve = _BASE_RESERVE_;
                          uint256 quoteReserve = _QUOTE_RESERVE_;
                          // The amount of baseToken and quoteToken user transfer to GSP
                          baseInput = baseBalance - baseReserve;
                          quoteInput = quoteBalance - quoteReserve;
                          // BaseToken should be transferred to GSP before calling buyShares
                          require(baseInput > 0, "NO_BASE_INPUT");
                          // Round down when withdrawing. Therefore, never be a situation occuring balance is 0 but totalsupply is not 0
                          // But May Happen,reserve >0 But totalSupply = 0
                          if (totalSupply == 0) {
                              // case 1. initial supply
                              require(quoteBalance > 0, "ZERO_QUOTE_AMOUNT");
                              // The shares will be minted to user
                              shares = quoteBalance < DecimalMath.mulFloor(baseBalance, _I_)
                                  ? DecimalMath.divFloor(quoteBalance, _I_)
                                  : baseBalance;
                              // The target will be updated
                              _BASE_TARGET_ = uint112(shares);
                              _QUOTE_TARGET_ = uint112(DecimalMath.mulFloor(shares, _I_));
                              require(_QUOTE_TARGET_ > 0, "QUOTE_TARGET_IS_ZERO");
                              // Lock 1001 shares permanently in first deposit 
                              require(shares > 2001, "MINT_AMOUNT_NOT_ENOUGH");
                              _mint(address(0), 1001);
                              shares -= 1001;
                          } else if (baseReserve > 0 && quoteReserve > 0) {
                              // case 2. normal case
                              uint256 baseInputRatio = DecimalMath.divFloor(baseInput, baseReserve);
                              uint256 quoteInputRatio = DecimalMath.divFloor(quoteInput, quoteReserve);
                              uint256 mintRatio = quoteInputRatio < baseInputRatio ? quoteInputRatio : baseInputRatio;
                              // The shares will be minted to user
                              shares = DecimalMath.mulFloor(totalSupply, mintRatio);
                              // The target will be updated
                              _BASE_TARGET_ = uint112(uint256(_BASE_TARGET_) + (DecimalMath.mulFloor(uint256(_BASE_TARGET_), mintRatio)));
                              _QUOTE_TARGET_ = uint112(uint256(_QUOTE_TARGET_) + (DecimalMath.mulFloor(uint256(_QUOTE_TARGET_), mintRatio)));
                          }
                          // The shares will be minted to user
                          // The reserve will be updated
                          _mint(to, shares);
                          _setReserve(baseBalance, quoteBalance);
                          emit BuyShares(to, shares, _SHARES_[to]);
                      }
                      /// @notice User burn their lp and withdraw their tokens, the result is rounded down
                      /// @dev User call sellShares, the calculated baseToken and quoteToken amount should geater than minBaseToken and minQuoteToken
                      /// @param shareAmount The amount of shares user want to sell
                      /// @param to The address will receive baseToken and quoteToken
                      /// @param baseMinAmount The minimum amount of baseToken user want to receive
                      /// @param quoteMinAmount The minimum amount of quoteToken user want to receive
                      /// @param data The data will be passed to callee contract
                      /// @param deadline The deadline of this transaction
                      function sellShares(
                          uint256 shareAmount,
                          address to,
                          uint256 baseMinAmount,
                          uint256 quoteMinAmount,
                          bytes calldata data,
                          uint256 deadline
                      ) external nonReentrant returns (uint256 baseAmount, uint256 quoteAmount) {
                          // The deadline should be greater than current timestamp
                          require(deadline >= block.timestamp, "TIME_EXPIRED");
                          // The amount of shares user want to sell should be less than user's balance
                          require(shareAmount <= _SHARES_[msg.sender], "GLP_NOT_ENOUGH");
                          // The balance of baseToken and quoteToken should be the balance minus the fee
                          uint256 baseBalance = _BASE_TOKEN_.balanceOf(address(this)) - _MT_FEE_BASE_;
                          uint256 quoteBalance = _QUOTE_TOKEN_.balanceOf(address(this)) - _MT_FEE_QUOTE_;
                          // The total shares of GSP
                          uint256 totalShares = totalSupply;
                          // The amount of baseToken and quoteToken user will receive is calculated by the ratio of user's shares to total shares
                          baseAmount = baseBalance * shareAmount / totalShares;
                          quoteAmount = quoteBalance * shareAmount / totalShares;
                          
                          // The target will be updated
                          _BASE_TARGET_ = uint112(uint256(_BASE_TARGET_) - DecimalMath._divCeil((uint256(_BASE_TARGET_) * (shareAmount)), totalShares));
                          _QUOTE_TARGET_ = uint112(uint256(_QUOTE_TARGET_) - DecimalMath._divCeil((uint256(_QUOTE_TARGET_) * (shareAmount)), totalShares));
                          
                          // The calculated baseToken and quoteToken amount should geater than minBaseToken and minQuoteToken
                          require(
                              baseAmount >= baseMinAmount && quoteAmount >= quoteMinAmount,
                              "WITHDRAW_NOT_ENOUGH"
                          );
                          // The shares will be burned from user
                          // The baseToken and quoteToken will be transferred to user
                          // The reserve will be synced
                          _burn(msg.sender, shareAmount);
                          _transferBaseOut(to, baseAmount);
                          _transferQuoteOut(to, quoteAmount);
                          _sync();
                          // If the data is not empty, the callee contract will be called
                          if (data.length > 0) {
                              //Same as DVM 
                              IDODOCallee(to).DVMSellShareCall(
                                  msg.sender,
                                  shareAmount,
                                  baseAmount,
                                  quoteAmount,
                                  data
                              );
                          }
                          emit SellShares(msg.sender, to, shareAmount, _SHARES_[msg.sender]);
                      }
                  }
                  /*
                      Copyright 2020 DODO ZOO.
                      SPDX-License-Identifier: Apache-2.0
                  */
                  pragma solidity 0.8.16;
                  import {GSPVault} from "./GSPVault.sol";
                  import {DecimalMath} from "../../lib/DecimalMath.sol";
                  import {PMMPricing} from "../../lib/PMMPricing.sol";
                  import {IDODOCallee} from "../../intf/IDODOCallee.sol";
                  /// @notice this contract deal with swap
                  contract GSPTrader is GSPVault {
                      // ============ Events ============
                      event DODOSwap(
                          address fromToken,
                          address toToken,
                          uint256 fromAmount,
                          uint256 toAmount,
                          address trader,
                          address receiver
                      );
                      event DODOFlashLoan(address borrower, address assetTo, uint256 baseAmount, uint256 quoteAmount);
                      event RChange(PMMPricing.RState newRState);
                      // ============ Trade Functions ============
                      /**
                       * @notice User sell base tokens, user pay tokens first. Must be used with a router
                       * @dev The base token balance is the actual balance minus the mt fee
                       * @param to The recipient of the output
                       * @return receiveQuoteAmount Amount of quote token received
                       */
                      function sellBase(address to) external nonReentrant returns (uint256 receiveQuoteAmount) {
                          uint256 baseBalance = _BASE_TOKEN_.balanceOf(address(this)) - _MT_FEE_BASE_;
                          uint256 baseInput = baseBalance - uint256(_BASE_RESERVE_);
                          uint256 mtFee;
                          uint256 newBaseTarget;
                          PMMPricing.RState newRState;
                          // calculate the amount of quote token to receive and mt fee
                          (receiveQuoteAmount, mtFee, newRState, newBaseTarget) = querySellBase(tx.origin, baseInput);
                          // transfer quote token to recipient
                          _transferQuoteOut(to, receiveQuoteAmount);
                          // update mt fee in quote token
                          _MT_FEE_QUOTE_ = _MT_FEE_QUOTE_ + mtFee;
                          
                          // update TARGET
                          if (_RState_ != uint32(newRState)) {    
                              require(newBaseTarget <= type(uint112).max, "OVERFLOW");
                              _BASE_TARGET_ = uint112(newBaseTarget);
                              _RState_ = uint32(newRState);
                              emit RChange(newRState);
                          }
                          // update reserve
                          _setReserve(baseBalance, _QUOTE_TOKEN_.balanceOf(address(this)) - _MT_FEE_QUOTE_);
                          emit DODOSwap(
                              address(_BASE_TOKEN_),
                              address(_QUOTE_TOKEN_),
                              baseInput,
                              receiveQuoteAmount,
                              msg.sender,
                              to
                          );
                      }
                      /**
                       * @notice User sell quote tokens, user pay tokens first. Must be used with a router
                       * @param to The recipient of the output
                       * @return receiveBaseAmount Amount of base token received
                       */
                      function sellQuote(address to) external nonReentrant returns (uint256 receiveBaseAmount) {
                          uint256 quoteBalance = _QUOTE_TOKEN_.balanceOf(address(this)) - _MT_FEE_QUOTE_;
                          uint256 quoteInput = quoteBalance - uint256(_QUOTE_RESERVE_);
                          uint256 mtFee;
                          uint256 newQuoteTarget;
                          PMMPricing.RState newRState;
                          // calculate the amount of base token to receive and mt fee
                          (receiveBaseAmount, mtFee, newRState, newQuoteTarget) = querySellQuote(
                              tx.origin,
                              quoteInput
                          );
                          // transfer base token to recipient
                          _transferBaseOut(to, receiveBaseAmount);
                          // update mt fee in base token
                          _MT_FEE_BASE_ = _MT_FEE_BASE_ + mtFee;
                          // update TARGET
                          if (_RState_ != uint32(newRState)) {
                              require(newQuoteTarget <= type(uint112).max, "OVERFLOW");
                              _QUOTE_TARGET_ = uint112(newQuoteTarget);
                              _RState_ = uint32(newRState);
                              emit RChange(newRState);
                          }
                          // update reserve
                          _setReserve((_BASE_TOKEN_.balanceOf(address(this)) - _MT_FEE_BASE_), quoteBalance);
                          emit DODOSwap(
                              address(_QUOTE_TOKEN_),
                              address(_BASE_TOKEN_),
                              quoteInput,
                              receiveBaseAmount,
                              msg.sender,
                              to
                          );
                      }
                      /**
                       * @notice inner flashloan, pay tokens out first, call external contract and check tokens left
                       * @param baseAmount The base token amount user require
                       * @param quoteAmount The quote token amount user require
                       * @param assetTo The address who uses above tokens
                       * @param data The external contract's callData
                       */
                      function flashLoan(
                          uint256 baseAmount,
                          uint256 quoteAmount,
                          address assetTo,
                          bytes calldata data
                      ) external nonReentrant {
                          _transferBaseOut(assetTo, baseAmount);
                          _transferQuoteOut(assetTo, quoteAmount);
                          if (data.length > 0)
                              IDODOCallee(assetTo).DSPFlashLoanCall(msg.sender, baseAmount, quoteAmount, data);
                          uint256 baseBalance = _BASE_TOKEN_.balanceOf(address(this)) - _MT_FEE_BASE_;
                          uint256 quoteBalance = _QUOTE_TOKEN_.balanceOf(address(this)) - _MT_FEE_QUOTE_;
                          // no input -> pure loss
                          require(
                              baseBalance >= _BASE_RESERVE_ || quoteBalance >= _QUOTE_RESERVE_,
                              "FLASH_LOAN_FAILED"
                          );
                          // sell quote case
                          // quote input + base output
                          if (baseBalance < _BASE_RESERVE_) {
                              uint256 quoteInput = quoteBalance - uint256(_QUOTE_RESERVE_);
                              (
                                  uint256 receiveBaseAmount,
                                  uint256 mtFee,
                                  PMMPricing.RState newRState,
                                  uint256 newQuoteTarget
                              ) = querySellQuote(tx.origin, quoteInput); // revert if quoteBalance<quoteReserve
                              require(
                                  (uint256(_BASE_RESERVE_) - baseBalance) <= receiveBaseAmount,
                                  "FLASH_LOAN_FAILED"
                              );
                              
                              _MT_FEE_BASE_ = _MT_FEE_BASE_ + mtFee;
                              
                              if (_RState_ != uint32(newRState)) {
                                  require(newQuoteTarget <= type(uint112).max, "OVERFLOW");
                                  _QUOTE_TARGET_ = uint112(newQuoteTarget);
                                  _RState_ = uint32(newRState);
                                  emit RChange(newRState);
                              }
                              emit DODOSwap(
                                  address(_QUOTE_TOKEN_),
                                  address(_BASE_TOKEN_),
                                  quoteInput,
                                  receiveBaseAmount,
                                  msg.sender,
                                  assetTo
                              );
                          }
                          // sell base case
                          // base input + quote output
                          if (quoteBalance < _QUOTE_RESERVE_) {
                              uint256 baseInput = baseBalance - uint256(_BASE_RESERVE_);
                              (
                                  uint256 receiveQuoteAmount,
                                  uint256 mtFee,
                                  PMMPricing.RState newRState,
                                  uint256 newBaseTarget
                              ) = querySellBase(tx.origin, baseInput); // revert if baseBalance<baseReserve
                              require(
                                  (uint256(_QUOTE_RESERVE_) - quoteBalance) <= receiveQuoteAmount,
                                  "FLASH_LOAN_FAILED"
                              );
                              _MT_FEE_QUOTE_ = _MT_FEE_QUOTE_ + mtFee;
                              
                              if (_RState_ != uint32(newRState)) {
                                  require(newBaseTarget <= type(uint112).max, "OVERFLOW");
                                  _BASE_TARGET_ = uint112(newBaseTarget);
                                  _RState_ = uint32(newRState);
                                  emit RChange(newRState);
                              }
                              emit DODOSwap(
                                  address(_BASE_TOKEN_),
                                  address(_QUOTE_TOKEN_),
                                  baseInput,
                                  receiveQuoteAmount,
                                  msg.sender,
                                  assetTo
                              );
                          }
                          _sync();
                          emit DODOFlashLoan(msg.sender, assetTo, baseAmount, quoteAmount);
                      }
                      // ============ Query Functions ============
                      /**
                       * @notice Return swap result, for query, sellBase side. 
                       * @param trader Useless, just to keep the same interface with old version pool
                       * @param payBaseAmount The amount of base token user want to sell
                       * @return receiveQuoteAmount The amount of quote token user will receive
                       * @return mtFee The amount of mt fee charged
                       * @return newRState The new RState after swap
                       * @return newBaseTarget The new base target after swap
                       */
                      function querySellBase(address trader, uint256 payBaseAmount)
                          public
                          view
                          returns (
                              uint256 receiveQuoteAmount,
                              uint256 mtFee,
                              PMMPricing.RState newRState,
                              uint256 newBaseTarget
                          )
                      {
                          PMMPricing.PMMState memory state = getPMMState();
                          (receiveQuoteAmount, newRState) = PMMPricing.sellBaseToken(state, payBaseAmount);
                          uint256 lpFeeRate = _LP_FEE_RATE_;
                          uint256 mtFeeRate = _MT_FEE_RATE_;
                          mtFee = DecimalMath.mulFloor(receiveQuoteAmount, mtFeeRate);
                          receiveQuoteAmount = receiveQuoteAmount
                              - DecimalMath.mulFloor(receiveQuoteAmount, lpFeeRate)
                              - mtFee;
                          newBaseTarget = state.B0;
                      }
                      /**
                       * @notice Return swap result, for query, sellQuote side
                       * @param trader Useless, just for keeping the same interface with old version pool
                       * @param payQuoteAmount The amount of quote token user want to sell
                       * @return receiveBaseAmount The amount of base token user will receive
                       * @return mtFee The amount of mt fee charged
                       * @return newRState The new RState after swap
                       * @return newQuoteTarget The new quote target after swap
                       */
                      function querySellQuote(address trader, uint256 payQuoteAmount)
                          public
                          view
                          returns (
                              uint256 receiveBaseAmount,
                              uint256 mtFee,
                              PMMPricing.RState newRState,
                              uint256 newQuoteTarget
                          )
                      {
                          PMMPricing.PMMState memory state = getPMMState();
                          (receiveBaseAmount, newRState) = PMMPricing.sellQuoteToken(state, payQuoteAmount);
                          uint256 lpFeeRate = _LP_FEE_RATE_;
                          uint256 mtFeeRate = _MT_FEE_RATE_;
                          mtFee = DecimalMath.mulFloor(receiveBaseAmount, mtFeeRate);
                          receiveBaseAmount = receiveBaseAmount
                              - DecimalMath.mulFloor(receiveBaseAmount, lpFeeRate)
                              - mtFee;
                          newQuoteTarget = state.Q0;
                      }
                  }
                  // SPDX-License-Identifier: MIT
                  // OpenZeppelin Contracts v4.4.1 (token/ERC20/extensions/IERC20Metadata.sol)
                  pragma solidity ^0.8.0;
                  import "../IERC20.sol";
                  /**
                   * @dev Interface for the optional metadata functions from the ERC20 standard.
                   *
                   * _Available since v4.1._
                   */
                  interface IERC20Metadata is IERC20 {
                      /**
                       * @dev Returns the name of the token.
                       */
                      function name() external view returns (string memory);
                      /**
                       * @dev Returns the symbol of the token.
                       */
                      function symbol() external view returns (string memory);
                      /**
                       * @dev Returns the decimals places of the token.
                       */
                      function decimals() external view returns (uint8);
                  }
                  // SPDX-License-Identifier: MIT
                  // OpenZeppelin Contracts (last updated v4.9.0) (token/ERC20/IERC20.sol)
                  pragma solidity ^0.8.0;
                  /**
                   * @dev Interface of the ERC20 standard as defined in the EIP.
                   */
                  interface IERC20 {
                      /**
                       * @dev Emitted when `value` tokens are moved from one account (`from`) to
                       * another (`to`).
                       *
                       * Note that `value` may be zero.
                       */
                      event Transfer(address indexed from, address indexed to, uint256 value);
                      /**
                       * @dev Emitted when the allowance of a `spender` for an `owner` is set by
                       * a call to {approve}. `value` is the new allowance.
                       */
                      event Approval(address indexed owner, address indexed spender, uint256 value);
                      /**
                       * @dev Returns the amount of tokens in existence.
                       */
                      function totalSupply() external view returns (uint256);
                      /**
                       * @dev Returns the amount of tokens owned by `account`.
                       */
                      function balanceOf(address account) external view returns (uint256);
                      /**
                       * @dev Moves `amount` tokens from the caller's account to `to`.
                       *
                       * Returns a boolean value indicating whether the operation succeeded.
                       *
                       * Emits a {Transfer} event.
                       */
                      function transfer(address to, uint256 amount) external returns (bool);
                      /**
                       * @dev Returns the remaining number of tokens that `spender` will be
                       * allowed to spend on behalf of `owner` through {transferFrom}. This is
                       * zero by default.
                       *
                       * This value changes when {approve} or {transferFrom} are called.
                       */
                      function allowance(address owner, address spender) external view returns (uint256);
                      /**
                       * @dev Sets `amount` as the allowance of `spender` over the caller's tokens.
                       *
                       * Returns a boolean value indicating whether the operation succeeded.
                       *
                       * IMPORTANT: Beware that changing an allowance with this method brings the risk
                       * that someone may use both the old and the new allowance by unfortunate
                       * transaction ordering. One possible solution to mitigate this race
                       * condition is to first reduce the spender's allowance to 0 and set the
                       * desired value afterwards:
                       * https://github.com/ethereum/EIPs/issues/20#issuecomment-263524729
                       *
                       * Emits an {Approval} event.
                       */
                      function approve(address spender, uint256 amount) external returns (bool);
                      /**
                       * @dev Moves `amount` tokens from `from` to `to` using the
                       * allowance mechanism. `amount` is then deducted from the caller's
                       * allowance.
                       *
                       * Returns a boolean value indicating whether the operation succeeded.
                       *
                       * Emits a {Transfer} event.
                       */
                      function transferFrom(address from, address to, uint256 amount) external returns (bool);
                  }
                  /*
                      Copyright 2020 DODO ZOO.
                      SPDX-License-Identifier: Apache-2.0
                  */
                  pragma solidity 0.8.16;
                  import {DODOMath} from "../../lib/DODOMath.sol";
                  import {DecimalMath} from "../../lib/DecimalMath.sol";
                  import {IERC20} from "@openzeppelin/contracts/token/ERC20/IERC20.sol";
                  import {ReentrancyGuard} from "@openzeppelin/contracts/security/ReentrancyGuard.sol";
                  import {PMMPricing} from "../../lib/PMMPricing.sol";
                  /// @notice this contract is used for store state and read state
                  contract GSPStorage is ReentrancyGuard {
                      // ============ Storage for Setup ============
                      // _GSP_INITIALIZED_ will be set to true when the init function is called
                      bool internal _GSP_INITIALIZED_;
                      // GSP does not open TWAP by default
                      // _IS_OPEN_TWAP_ can be set to true when the init function is called
                      bool public _IS_OPEN_TWAP_ = false;
                      
                      // ============ Core Address ============
                      // _MAINTAINER_ is the maintainer of GSP
                      address public _MAINTAINER_;
                      // _ADMIN_ can set price
                      address public _ADMIN_;
                      // _BASE_TOKEN_ and _QUOTE_TOKEN_ should be ERC20 token
                      IERC20 public _BASE_TOKEN_;
                      IERC20 public _QUOTE_TOKEN_;
                      // _BASE_RESERVE_ and _QUOTE_RESERVE_ are the current reserves of the GSP
                      uint112 public _BASE_RESERVE_;
                      uint112 public _QUOTE_RESERVE_;
                      // _BLOCK_TIMESTAMP_LAST_ is used when calculating TWAP
                      uint32 public _BLOCK_TIMESTAMP_LAST_;
                      // _BASE_PRICE_CUMULATIVE_LAST_ is used when calculating TWAP
                      uint256 public _BASE_PRICE_CUMULATIVE_LAST_;
                      // _BASE_TARGET_ and _QUOTE_TARGET_ are recalculated when the pool state changes
                      uint112 public _BASE_TARGET_;
                      uint112 public _QUOTE_TARGET_;
                      // _RState_ is the current R state of the GSP
                      uint32 public _RState_;
                      // ============ Shares (ERC20) ============
                      // symbol is the symbol of the shares
                      string public symbol;
                      // decimals is the decimals of the shares
                      uint8 public decimals;
                      // name is the name of the shares
                      string public name;
                      // totalSupply is the total supply of the shares
                      uint256 public totalSupply;
                      // _SHARES_ is the mapping from account to share balance, record the share balance of each account
                      mapping(address => uint256) internal _SHARES_;
                      mapping(address => mapping(address => uint256)) internal _ALLOWED_;
                      // ================= Permit ======================
                      bytes32 public DOMAIN_SEPARATOR;
                      // keccak256("Permit(address owner,address spender,uint256 value,uint256 nonce,uint256 deadline)");
                      bytes32 public constant PERMIT_TYPEHASH =
                          0x6e71edae12b1b97f4d1f60370fef10105fa2faae0126114a169c64845d6126c9;
                      mapping(address => uint256) public nonces;
                      // ============ Variables for Pricing ============
                      // _MT_FEE_RATE_ is the fee rate of mt fee
                      uint256 public _MT_FEE_RATE_;
                      // _LP_FEE_RATE_ is the fee rate of lp fee
                      uint256 public _LP_FEE_RATE_;
                      uint256 public _K_;
                      uint256 public _I_;
                      // _PRICE_LIMIT_ is used to limit the setting range of I
                      uint256 public _PRICE_LIMIT_;
                      // ============ Mt Fee ============
                      // _MT_FEE_BASE_ represents the mt fee in base token
                      uint256 public _MT_FEE_BASE_;
                      // _MT_FEE_QUOTE_ represents the mt fee in quote token
                      uint256 public _MT_FEE_QUOTE_;
                      // _MT_FEE_RATE_MODEL_ is useless, just for compatible with old version pool
                      address public _MT_FEE_RATE_MODEL_ = address(0);
                      // ============ Helper Functions ============
                      /// @notice Return the PMM state of the pool from inner or outside
                      /// @dev B0 and Q0 are calculated in adjustedTarget
                      /// @return state The current PMM state
                      function getPMMState() public view returns (PMMPricing.PMMState memory state) {
                          state.i = _I_;
                          state.K = _K_;
                          state.B = _BASE_RESERVE_;
                          state.Q = _QUOTE_RESERVE_;
                          state.B0 = _BASE_TARGET_; // will be calculated in adjustedTarget
                          state.Q0 = _QUOTE_TARGET_;
                          state.R = PMMPricing.RState(_RState_);
                          PMMPricing.adjustedTarget(state);
                      }
                      /// @notice Return the PMM state variables used for routeHelpers
                      /// @return i The price index
                      /// @return K The K value
                      /// @return B The base token reserve
                      /// @return Q The quote token reserve
                      /// @return B0 The base token target
                      /// @return Q0 The quote token target
                      /// @return R The R state of the pool
                      function getPMMStateForCall()
                          external
                          view
                          returns (
                              uint256 i,
                              uint256 K,
                              uint256 B,
                              uint256 Q,
                              uint256 B0,
                              uint256 Q0,
                              uint256 R
                          )
                      {
                          PMMPricing.PMMState memory state = getPMMState();
                          i = state.i;
                          K = state.K;
                          B = state.B;
                          Q = state.Q;
                          B0 = state.B0;
                          Q0 = state.Q0;
                          R = uint256(state.R);
                      }
                      /// @notice Return the adjusted mid price
                      /// @return midPrice The current mid price
                      function getMidPrice() public view returns (uint256 midPrice) {
                          return PMMPricing.getMidPrice(getPMMState());
                      }
                      /// @notice Return the total mt fee maintainer can claim
                      /// @dev The total mt fee is represented in two types: in base token and in quote token
                      /// @return mtFeeBase The total mt fee in base token
                      /// @return mtFeeQuote The total mt fee in quote token
                      function getMtFeeTotal() public view returns (uint256 mtFeeBase, uint256 mtFeeQuote) {
                          mtFeeBase = _MT_FEE_BASE_;
                          mtFeeQuote = _MT_FEE_QUOTE_;
                      }
                  }
                  // SPDX-License-Identifier: MIT
                  // OpenZeppelin Contracts (last updated v4.9.3) (token/ERC20/utils/SafeERC20.sol)
                  pragma solidity ^0.8.0;
                  import "../IERC20.sol";
                  import "../extensions/IERC20Permit.sol";
                  import "../../../utils/Address.sol";
                  /**
                   * @title SafeERC20
                   * @dev Wrappers around ERC20 operations that throw on failure (when the token
                   * contract returns false). Tokens that return no value (and instead revert or
                   * throw on failure) are also supported, non-reverting calls are assumed to be
                   * successful.
                   * To use this library you can add a `using SafeERC20 for IERC20;` statement to your contract,
                   * which allows you to call the safe operations as `token.safeTransfer(...)`, etc.
                   */
                  library SafeERC20 {
                      using Address for address;
                      /**
                       * @dev Transfer `value` amount of `token` from the calling contract to `to`. If `token` returns no value,
                       * non-reverting calls are assumed to be successful.
                       */
                      function safeTransfer(IERC20 token, address to, uint256 value) internal {
                          _callOptionalReturn(token, abi.encodeWithSelector(token.transfer.selector, to, value));
                      }
                      /**
                       * @dev Transfer `value` amount of `token` from `from` to `to`, spending the approval given by `from` to the
                       * calling contract. If `token` returns no value, non-reverting calls are assumed to be successful.
                       */
                      function safeTransferFrom(IERC20 token, address from, address to, uint256 value) internal {
                          _callOptionalReturn(token, abi.encodeWithSelector(token.transferFrom.selector, from, to, value));
                      }
                      /**
                       * @dev Deprecated. This function has issues similar to the ones found in
                       * {IERC20-approve}, and its usage is discouraged.
                       *
                       * Whenever possible, use {safeIncreaseAllowance} and
                       * {safeDecreaseAllowance} instead.
                       */
                      function safeApprove(IERC20 token, address spender, uint256 value) internal {
                          // safeApprove should only be called when setting an initial allowance,
                          // or when resetting it to zero. To increase and decrease it, use
                          // 'safeIncreaseAllowance' and 'safeDecreaseAllowance'
                          require(
                              (value == 0) || (token.allowance(address(this), spender) == 0),
                              "SafeERC20: approve from non-zero to non-zero allowance"
                          );
                          _callOptionalReturn(token, abi.encodeWithSelector(token.approve.selector, spender, value));
                      }
                      /**
                       * @dev Increase the calling contract's allowance toward `spender` by `value`. If `token` returns no value,
                       * non-reverting calls are assumed to be successful.
                       */
                      function safeIncreaseAllowance(IERC20 token, address spender, uint256 value) internal {
                          uint256 oldAllowance = token.allowance(address(this), spender);
                          _callOptionalReturn(token, abi.encodeWithSelector(token.approve.selector, spender, oldAllowance + value));
                      }
                      /**
                       * @dev Decrease the calling contract's allowance toward `spender` by `value`. If `token` returns no value,
                       * non-reverting calls are assumed to be successful.
                       */
                      function safeDecreaseAllowance(IERC20 token, address spender, uint256 value) internal {
                          unchecked {
                              uint256 oldAllowance = token.allowance(address(this), spender);
                              require(oldAllowance >= value, "SafeERC20: decreased allowance below zero");
                              _callOptionalReturn(token, abi.encodeWithSelector(token.approve.selector, spender, oldAllowance - value));
                          }
                      }
                      /**
                       * @dev Set the calling contract's allowance toward `spender` to `value`. If `token` returns no value,
                       * non-reverting calls are assumed to be successful. Meant to be used with tokens that require the approval
                       * to be set to zero before setting it to a non-zero value, such as USDT.
                       */
                      function forceApprove(IERC20 token, address spender, uint256 value) internal {
                          bytes memory approvalCall = abi.encodeWithSelector(token.approve.selector, spender, value);
                          if (!_callOptionalReturnBool(token, approvalCall)) {
                              _callOptionalReturn(token, abi.encodeWithSelector(token.approve.selector, spender, 0));
                              _callOptionalReturn(token, approvalCall);
                          }
                      }
                      /**
                       * @dev Use a ERC-2612 signature to set the `owner` approval toward `spender` on `token`.
                       * Revert on invalid signature.
                       */
                      function safePermit(
                          IERC20Permit token,
                          address owner,
                          address spender,
                          uint256 value,
                          uint256 deadline,
                          uint8 v,
                          bytes32 r,
                          bytes32 s
                      ) internal {
                          uint256 nonceBefore = token.nonces(owner);
                          token.permit(owner, spender, value, deadline, v, r, s);
                          uint256 nonceAfter = token.nonces(owner);
                          require(nonceAfter == nonceBefore + 1, "SafeERC20: permit did not succeed");
                      }
                      /**
                       * @dev Imitates a Solidity high-level call (i.e. a regular function call to a contract), relaxing the requirement
                       * on the return value: the return value is optional (but if data is returned, it must not be false).
                       * @param token The token targeted by the call.
                       * @param data The call data (encoded using abi.encode or one of its variants).
                       */
                      function _callOptionalReturn(IERC20 token, bytes memory data) private {
                          // We need to perform a low level call here, to bypass Solidity's return data size checking mechanism, since
                          // we're implementing it ourselves. We use {Address-functionCall} to perform this call, which verifies that
                          // the target address contains contract code and also asserts for success in the low-level call.
                          bytes memory returndata = address(token).functionCall(data, "SafeERC20: low-level call failed");
                          require(returndata.length == 0 || abi.decode(returndata, (bool)), "SafeERC20: ERC20 operation did not succeed");
                      }
                      /**
                       * @dev Imitates a Solidity high-level call (i.e. a regular function call to a contract), relaxing the requirement
                       * on the return value: the return value is optional (but if data is returned, it must not be false).
                       * @param token The token targeted by the call.
                       * @param data The call data (encoded using abi.encode or one of its variants).
                       *
                       * This is a variant of {_callOptionalReturn} that silents catches all reverts and returns a bool instead.
                       */
                      function _callOptionalReturnBool(IERC20 token, bytes memory data) private returns (bool) {
                          // We need to perform a low level call here, to bypass Solidity's return data size checking mechanism, since
                          // we're implementing it ourselves. We cannot use {Address-functionCall} here since this should return false
                          // and not revert is the subcall reverts.
                          (bool success, bytes memory returndata) = address(token).call(data);
                          return
                              success && (returndata.length == 0 || abi.decode(returndata, (bool))) && Address.isContract(address(token));
                      }
                  }
                  /*
                      Copyright 2020 DODO ZOO.
                      SPDX-License-Identifier: Apache-2.0
                  */
                  pragma solidity 0.8.16;
                  pragma experimental ABIEncoderV2;
                  import {DecimalMath} from "../lib/DecimalMath.sol";
                  import {DODOMath} from "../lib/DODOMath.sol";
                  /**
                   * @title Pricing
                   * @author DODO Breeder
                   *
                   * @notice DODO Pricing model
                   */
                  library PMMPricing {
                      enum RState {ONE, ABOVE_ONE, BELOW_ONE}
                      struct PMMState {
                          uint256 i;
                          uint256 K;
                          uint256 B;
                          uint256 Q;
                          uint256 B0;
                          uint256 Q0;
                          RState R;
                      }
                      // ============ buy & sell ============
                      /**
                       * @notice Inner calculation based on pmm algorithm, sell base
                       * @param state The current PMM state
                       * @param payBaseAmount The amount of base token user want to sell
                       * @return receiveQuoteAmount The amount of quote token user will receive
                       * @return newR The new R status after swap
                       */
                      function sellBaseToken(PMMState memory state, uint256 payBaseAmount)
                          internal
                          pure
                          returns (uint256 receiveQuoteAmount, RState newR)
                      {
                          if (state.R == RState.ONE) {
                              // case 1: R=1
                              // R falls below one
                              receiveQuoteAmount = _ROneSellBaseToken(state, payBaseAmount);
                              newR = RState.BELOW_ONE;
                          } else if (state.R == RState.ABOVE_ONE) {
                              uint256 backToOnePayBase = state.B0 - state.B;
                              uint256 backToOneReceiveQuote = state.Q - state.Q0;
                              // case 2: R>1
                              // complex case, R status depends on trading amount
                              if (payBaseAmount < backToOnePayBase) {
                                  // case 2.1: R status do not change
                                  receiveQuoteAmount = _RAboveSellBaseToken(state, payBaseAmount);
                                  newR = RState.ABOVE_ONE;
                                  if (receiveQuoteAmount > backToOneReceiveQuote) {
                                      // [Important corner case!] may enter this branch when some precision problem happens. And consequently contribute to negative spare quote amount
                                      // to make sure spare quote>=0, mannually set receiveQuote=backToOneReceiveQuote
                                      receiveQuoteAmount = backToOneReceiveQuote;
                                  }
                              } else if (payBaseAmount == backToOnePayBase) {
                                  // case 2.2: R status changes to ONE
                                  receiveQuoteAmount = backToOneReceiveQuote;
                                  newR = RState.ONE;
                              } else {
                                  // case 2.3: R status changes to BELOW_ONE
                                  receiveQuoteAmount = backToOneReceiveQuote + (
                                      _ROneSellBaseToken(state, (payBaseAmount - backToOnePayBase))
                                  );
                                  newR = RState.BELOW_ONE;
                              }
                          } else {
                              // state.R == RState.BELOW_ONE
                              // case 3: R<1
                              receiveQuoteAmount = _RBelowSellBaseToken(state, payBaseAmount);
                              newR = RState.BELOW_ONE;
                          }
                      }
                      /**
                       * @notice Inner calculation based on pmm algorithm, sell quote
                       * @param state The current PMM state
                       * @param payQuoteAmount The amount of quote token user want to sell
                       * @return receiveBaseAmount The amount of base token user will receive
                       * @return newR The new R status after swap
                       */
                      function sellQuoteToken(PMMState memory state, uint256 payQuoteAmount)
                          internal
                          pure
                          returns (uint256 receiveBaseAmount, RState newR)
                      {
                          if (state.R == RState.ONE) {
                              receiveBaseAmount = _ROneSellQuoteToken(state, payQuoteAmount);
                              newR = RState.ABOVE_ONE;
                          } else if (state.R == RState.ABOVE_ONE) {
                              receiveBaseAmount = _RAboveSellQuoteToken(state, payQuoteAmount);
                              newR = RState.ABOVE_ONE;
                          } else {
                              uint256 backToOnePayQuote = state.Q0 - state.Q;
                              uint256 backToOneReceiveBase = state.B - state.B0;
                              if (payQuoteAmount < backToOnePayQuote) {
                                  receiveBaseAmount = _RBelowSellQuoteToken(state, payQuoteAmount); 
                                  newR = RState.BELOW_ONE;
                                  if (receiveBaseAmount > backToOneReceiveBase) {
                                      receiveBaseAmount = backToOneReceiveBase;
                                  }
                              } else if (payQuoteAmount == backToOnePayQuote) {
                                  receiveBaseAmount = backToOneReceiveBase;
                                  newR = RState.ONE;
                              } else {
                                  receiveBaseAmount = backToOneReceiveBase + (
                                      _ROneSellQuoteToken(state, payQuoteAmount - backToOnePayQuote) 
                                  );
                                  newR = RState.ABOVE_ONE;
                              }
                          }
                      }
                      // ============ R = 1 cases ============
                      function _ROneSellBaseToken(PMMState memory state, uint256 payBaseAmount)
                          internal
                          pure
                          returns (
                              uint256 // receiveQuoteToken
                          )
                      {
                          // in theory Q2 <= targetQuoteTokenAmount
                          // however when amount is close to 0, precision problems may cause Q2 > targetQuoteTokenAmount
                          return
                              DODOMath._SolveQuadraticFunctionForTrade(
                                  state.Q0,
                                  state.Q0,
                                  payBaseAmount,
                                  state.i,
                                  state.K
                              );
                      }
                      function _ROneSellQuoteToken(PMMState memory state, uint256 payQuoteAmount)
                          internal
                          pure
                          returns (
                              uint256 // receiveBaseToken
                          )
                      {
                          return
                              DODOMath._SolveQuadraticFunctionForTrade(
                                  state.B0,
                                  state.B0,
                                  payQuoteAmount,
                                  DecimalMath.reciprocalFloor(state.i),
                                  state.K
                              );
                      }
                      // ============ R < 1 cases ============
                      function _RBelowSellQuoteToken(PMMState memory state, uint256 payQuoteAmount)
                          internal
                          pure
                          returns (
                              uint256 // receiveBaseToken
                          )
                      {
                          return
                              DODOMath._GeneralIntegrate(
                                  state.Q0,
                                  state.Q + payQuoteAmount,
                                  state.Q,
                                  DecimalMath.reciprocalFloor(state.i),
                                  state.K
                              );
                      }
                      function _RBelowSellBaseToken(PMMState memory state, uint256 payBaseAmount)
                          internal
                          pure
                          returns (
                              uint256 // receiveQuoteToken
                          )
                      {
                          return
                              DODOMath._SolveQuadraticFunctionForTrade(
                                  state.Q0,
                                  state.Q,
                                  payBaseAmount,
                                  state.i,
                                  state.K
                              );
                      }
                      // ============ R > 1 cases ============
                      function _RAboveSellBaseToken(PMMState memory state, uint256 payBaseAmount)
                          internal
                          pure
                          returns (
                              uint256 // receiveQuoteToken
                          )
                      {
                          return
                              DODOMath._GeneralIntegrate(
                                  state.B0,
                                  state.B + payBaseAmount,
                                  state.B,
                                  state.i,
                                  state.K
                              );
                      }
                      function _RAboveSellQuoteToken(PMMState memory state, uint256 payQuoteAmount)
                          internal
                          pure
                          returns (
                              uint256 // receiveBaseToken
                          )
                      {
                          return
                              DODOMath._SolveQuadraticFunctionForTrade(
                                  state.B0,
                                  state.B,
                                  payQuoteAmount,
                                  DecimalMath.reciprocalFloor(state.i),
                                  state.K
                              );
                      }
                      // ============ Helper functions ============
                      function adjustedTarget(PMMState memory state) internal pure {
                          if (state.R == RState.BELOW_ONE) {
                              state.Q0 = DODOMath._SolveQuadraticFunctionForTarget(
                                  state.Q,
                                  state.B - state.B0,
                                  state.i,
                                  state.K
                              );
                          } else if (state.R == RState.ABOVE_ONE) {
                              state.B0 = DODOMath._SolveQuadraticFunctionForTarget(
                                  state.B,
                                  state.Q - state.Q0,
                                  DecimalMath.reciprocalFloor(state.i),
                                  state.K
                              );
                          }
                      }
                      function getMidPrice(PMMState memory state) internal pure returns (uint256) {
                          if (state.R == RState.BELOW_ONE) {
                              uint256 R = DecimalMath.divFloor(state.Q0 * state.Q0 / state.Q, state.Q);
                              R = DecimalMath.ONE - state.K + (DecimalMath.mulFloor(state.K, R));
                              return DecimalMath.divFloor(state.i, R);
                          } else {
                              uint256 R = DecimalMath.divFloor(state.B0 * state.B0 / state.B, state.B);
                              R = DecimalMath.ONE - state.K + (DecimalMath.mulFloor(state.K, R));
                              return DecimalMath.mulFloor(state.i, R);
                          }
                      }
                  }
                  // SPDX-License-Identifier: BUSL-1.1
                  pragma solidity 0.8.16;
                  pragma experimental ABIEncoderV2;
                  import {Math} from "@openzeppelin/contracts/utils/math/Math.sol";
                  /**
                   * @title DecimalMath
                   * @author DODO Breeder
                   *
                   * @notice Functions for fixed point number with 18 decimals
                   */
                  library DecimalMath {
                      uint256 internal constant ONE = 10 ** 18;
                      uint256 internal constant ONE2 = 10 ** 36;
                      function mul(uint256 target, uint256 d) internal pure returns (uint256) {
                          return target * d / (10 ** 18);
                      }
                      function mulFloor(uint256 target, uint256 d) internal pure returns (uint256) {
                          return target * d / (10 ** 18);
                      }
                      function mulCeil(uint256 target, uint256 d) internal pure returns (uint256) {
                          return _divCeil(target * d, 10 ** 18);
                      }
                      function div(uint256 target, uint256 d) internal pure returns (uint256) {
                          return target * (10 ** 18) / d;
                      }
                      function divFloor(uint256 target, uint256 d) internal pure returns (uint256) {
                          return target * (10 ** 18) / d;
                      }
                      function divCeil(uint256 target, uint256 d) internal pure returns (uint256) {
                          return _divCeil(target * (10 ** 18), d);
                      }
                      function reciprocalFloor(uint256 target) internal pure returns (uint256) {
                          return uint256(10 ** 36) / target;
                      }
                      function reciprocalCeil(uint256 target) internal pure returns (uint256) {
                          return _divCeil(uint256(10 ** 36), target);
                      }
                      function sqrt(uint256 target) internal pure returns (uint256) {
                          return Math.sqrt(target * ONE);
                      }
                      function powFloor(uint256 target, uint256 e) internal pure returns (uint256) {
                          if (e == 0) {
                              return 10 ** 18;
                          } else if (e == 1) {
                              return target;
                          } else {
                              uint256 p = powFloor(target, e / 2);
                              p = p * p / (10 ** 18);
                              if (e % 2 == 1) {
                                  p = p * target / (10 ** 18);
                              }
                              return p;
                          }
                      }
                      function _divCeil(uint256 a, uint256 b) internal pure returns (uint256) {
                          uint256 quotient = a / b;
                          uint256 remainder = a - quotient * b;
                          if (remainder > 0) {
                              return quotient + 1;
                          } else {
                              return quotient;
                          }
                      }
                  }
                  /*
                      Copyright 2020 DODO ZOO.
                      SPDX-License-Identifier: Apache-2.0
                  */
                  pragma solidity 0.8.16;
                  pragma experimental ABIEncoderV2;
                  interface IDODOCallee {
                      function DVMSellShareCall(
                          address sender,
                          uint256 burnShareAmount,
                          uint256 baseAmount,
                          uint256 quoteAmount,
                          bytes calldata data
                      ) external;
                      function DVMFlashLoanCall(
                          address sender,
                          uint256 baseAmount,
                          uint256 quoteAmount,
                          bytes calldata data
                      ) external;
                      function DPPFlashLoanCall(
                          address sender,
                          uint256 baseAmount,
                          uint256 quoteAmount,
                          bytes calldata data
                      ) external;
                      function DSPFlashLoanCall(
                          address sender,
                          uint256 baseAmount,
                          uint256 quoteAmount,
                          bytes calldata data
                      ) external;
                      function CPCancelCall(
                          address sender,
                          uint256 amount,
                          bytes calldata data
                      ) external;
                  \tfunction CPClaimBidCall(
                          address sender,
                          uint256 baseAmount,
                          uint256 quoteAmount,
                          bytes calldata data
                      ) external;
                      function NFTRedeemCall(
                          address payable assetTo,
                          uint256 quoteAmount,
                          bytes calldata
                      ) external;
                  }
                  // SPDX-License-Identifier: BUSL-1.1
                  pragma solidity 0.8.16;
                  pragma experimental ABIEncoderV2;
                  import {DecimalMath} from "./DecimalMath.sol";
                  import {Math} from "@openzeppelin/contracts/utils/math/Math.sol";
                  /**
                   * @title DODOMath
                   * @author DODO Breeder
                   *
                   * @notice Functions for complex calculating. Including ONE Integration and TWO Quadratic solutions
                   */
                  library DODOMath {
                      using Math for uint256;
                      /*
                          Integrate dodo curve from V1 to V2
                          require V0>=V1>=V2>0
                          res = (1-k)i(V1-V2)+ikV0*V0(1/V2-1/V1)
                          let V1-V2=delta
                          res = i*delta*(1-k+k(V0^2/V1/V2))
                          i is the price of V-res trading pair
                          support k=1 & k=0 case
                          [round down]
                      */
                      function _GeneralIntegrate(
                          uint256 V0,
                          uint256 V1,
                          uint256 V2,
                          uint256 i,
                          uint256 k
                      ) internal pure returns (uint256) {
                          require(V0 > 0, "TARGET_IS_ZERO");
                          uint256 fairAmount = i * (V1 - V2); // i*delta
                          if (k == 0) {
                              return fairAmount / DecimalMath.ONE;
                          }
                          uint256 V0V0V1V2 = DecimalMath.divFloor(V0 * V0 / V1, V2);
                          uint256 penalty = DecimalMath.mulFloor(k, V0V0V1V2); // k(V0^2/V1/V2)
                          return (DecimalMath.ONE - k + penalty) * fairAmount / DecimalMath.ONE2;
                      }
                      /*
                          Follow the integration function above
                          i*deltaB = (Q2-Q1)*(1-k+kQ0^2/Q1/Q2)
                          Assume Q2=Q0, Given Q1 and deltaB, solve Q0
                          i is the price of delta-V trading pair
                          give out target of V
                          support k=1 & k=0 case
                          [round down]
                      */
                      function _SolveQuadraticFunctionForTarget(
                          uint256 V1,
                          uint256 delta,
                          uint256 i,
                          uint256 k
                      ) internal pure returns (uint256) {
                          if (k == 0) {
                              return V1 + DecimalMath.mulFloor(i, delta);
                          }
                          // V0 = V1*(1+(sqrt-1)/2k)
                          // sqrt = √(1+4kidelta/V1)
                          // premium = 1+(sqrt-1)/2k
                          // uint256 sqrt = (4 * k).mul(i).mul(delta).div(V1).add(DecimalMath.ONE2).sqrt();
                          if (V1 == 0) {
                              return 0;
                          }
                          uint256 sqrt;
                          uint256 ki = 4 * k * i;
                          if (ki == 0) {
                              sqrt = DecimalMath.ONE;
                          } else if ((ki * delta) / ki == delta) {
                              sqrt =((ki * delta) / V1  + DecimalMath.ONE2).sqrt();
                          } else {
                              sqrt = (ki / V1 * delta + DecimalMath.ONE2).sqrt();
                          }
                          uint256 premium =
                              DecimalMath.divFloor(sqrt - DecimalMath.ONE, k * 2) + DecimalMath.ONE;
                          // V0 is greater than or equal to V1 according to the solution
                          return DecimalMath.mulFloor(V1, premium);
                      }
                      /*
                          Follow the integration expression above, we have:
                          i*deltaB = (Q2-Q1)*(1-k+kQ0^2/Q1/Q2)
                          Given Q1 and deltaB, solve Q2
                          This is a quadratic function and the standard version is
                          aQ2^2 + bQ2 + c = 0, where
                          a=1-k
                          -b=(1-k)Q1-kQ0^2/Q1+i*deltaB
                          c=-kQ0^2 
                          and Q2=(-b+sqrt(b^2+4(1-k)kQ0^2))/2(1-k)
                          note: another root is negative, abondan
                          if deltaBSig=true, then Q2>Q1, user sell Q and receive B
                          if deltaBSig=false, then Q2<Q1, user sell B and receive Q
                          return |Q1-Q2|
                          as we only support sell amount as delta, the deltaB is always negative
                          the input ideltaB is actually -ideltaB in the equation
                          i is the price of delta-V trading pair
                          support k=1 & k=0 case
                          [round down]
                      */
                      function _SolveQuadraticFunctionForTrade(
                          uint256 V0,
                          uint256 V1,
                          uint256 delta,
                          uint256 i,
                          uint256 k
                      ) internal pure returns (uint256) {
                          require(V0 > 0, "TARGET_IS_ZERO");
                          if (delta == 0) {
                              return 0;
                          }
                          if (k == 0) {
                              // why v1
                              return DecimalMath.mulFloor(i, delta) > V1 ? V1 : DecimalMath.mulFloor(i, delta);
                          }
                          if (k == DecimalMath.ONE) {
                              // if k==1
                              // Q2=Q1/(1+ideltaBQ1/Q0/Q0)
                              // temp = ideltaBQ1/Q0/Q0
                              // Q2 = Q1/(1+temp)
                              // Q1-Q2 = Q1*(1-1/(1+temp)) = Q1*(temp/(1+temp))
                              // uint256 temp = i.mul(delta).mul(V1).div(V0.mul(V0));
                              uint256 temp;
                              uint256 idelta = i * (delta);
                              if (idelta == 0) {
                                  temp = 0;
                              } else if ((idelta * V1) / idelta == V1) {
                                  temp = (idelta * V1) / (V0 * V0);
                              } else {
                                  temp = delta * (V1) / (V0) * (i) / (V0);
                              }
                              return V1 * (temp) / (temp + (DecimalMath.ONE));
                          }
                          // calculate -b value and sig
                          // b = kQ0^2/Q1-i*deltaB-(1-k)Q1
                          // part1 = (1-k)Q1 >=0
                          // part2 = kQ0^2/Q1-i*deltaB >=0
                          // bAbs = abs(part1-part2)
                          // if part1>part2 => b is negative => bSig is false
                          // if part2>part1 => b is positive => bSig is true
                          uint256 part2 = k * (V0) / (V1) * (V0) + (i * (delta)); // kQ0^2/Q1-i*deltaB
                          uint256 bAbs = (DecimalMath.ONE - k) * (V1); // (1-k)Q1
                          bool bSig;
                          if (bAbs >= part2) {
                              bAbs = bAbs - part2;
                              bSig = false;
                          } else {
                              bAbs = part2 - bAbs;
                              bSig = true;
                          }
                          bAbs = bAbs / (DecimalMath.ONE);
                          // calculate sqrt
                          uint256 squareRoot = DecimalMath.mulFloor((DecimalMath.ONE - k) * (4), DecimalMath.mulFloor(k, V0) * (V0)); // 4(1-k)kQ0^2
                          squareRoot = Math.sqrt((bAbs * bAbs) + squareRoot); // sqrt(b*b+4(1-k)kQ0*Q0)
                          // final res
                          uint256 denominator = (DecimalMath.ONE - k) * 2; // 2(1-k)
                          uint256 numerator;
                          if (bSig) {
                              numerator = squareRoot - bAbs;
                              if (numerator == 0) {
                                  revert("DODOMath: should not be 0");
                              }
                          } else {
                              numerator = bAbs + squareRoot;
                          }
                          uint256 V2 = DecimalMath.divCeil(numerator, denominator);
                          if (V2 > V1) {
                              return 0;
                          } else {
                              return V1 - V2;
                          }
                      }
                  }
                  // SPDX-License-Identifier: MIT
                  // OpenZeppelin Contracts (last updated v4.9.0) (utils/math/Math.sol)
                  pragma solidity ^0.8.0;
                  /**
                   * @dev Standard math utilities missing in the Solidity language.
                   */
                  library Math {
                      enum Rounding {
                          Down, // Toward negative infinity
                          Up, // Toward infinity
                          Zero // Toward zero
                      }
                      /**
                       * @dev Returns the largest of two numbers.
                       */
                      function max(uint256 a, uint256 b) internal pure returns (uint256) {
                          return a > b ? a : b;
                      }
                      /**
                       * @dev Returns the smallest of two numbers.
                       */
                      function min(uint256 a, uint256 b) internal pure returns (uint256) {
                          return a < b ? a : b;
                      }
                      /**
                       * @dev Returns the average of two numbers. The result is rounded towards
                       * zero.
                       */
                      function average(uint256 a, uint256 b) internal pure returns (uint256) {
                          // (a + b) / 2 can overflow.
                          return (a & b) + (a ^ b) / 2;
                      }
                      /**
                       * @dev Returns the ceiling of the division of two numbers.
                       *
                       * This differs from standard division with `/` in that it rounds up instead
                       * of rounding down.
                       */
                      function ceilDiv(uint256 a, uint256 b) internal pure returns (uint256) {
                          // (a + b - 1) / b can overflow on addition, so we distribute.
                          return a == 0 ? 0 : (a - 1) / b + 1;
                      }
                      /**
                       * @notice Calculates floor(x * y / denominator) with full precision. Throws if result overflows a uint256 or denominator == 0
                       * @dev Original credit to Remco Bloemen under MIT license (https://xn--2-umb.com/21/muldiv)
                       * with further edits by Uniswap Labs also under MIT license.
                       */
                      function mulDiv(uint256 x, uint256 y, uint256 denominator) internal pure returns (uint256 result) {
                          unchecked {
                              // 512-bit multiply [prod1 prod0] = x * y. Compute the product mod 2^256 and mod 2^256 - 1, then use
                              // use the Chinese Remainder Theorem to reconstruct the 512 bit result. The result is stored in two 256
                              // variables such that product = prod1 * 2^256 + prod0.
                              uint256 prod0; // Least significant 256 bits of the product
                              uint256 prod1; // Most significant 256 bits of the product
                              assembly {
                                  let mm := mulmod(x, y, not(0))
                                  prod0 := mul(x, y)
                                  prod1 := sub(sub(mm, prod0), lt(mm, prod0))
                              }
                              // Handle non-overflow cases, 256 by 256 division.
                              if (prod1 == 0) {
                                  // Solidity will revert if denominator == 0, unlike the div opcode on its own.
                                  // The surrounding unchecked block does not change this fact.
                                  // See https://docs.soliditylang.org/en/latest/control-structures.html#checked-or-unchecked-arithmetic.
                                  return prod0 / denominator;
                              }
                              // Make sure the result is less than 2^256. Also prevents denominator == 0.
                              require(denominator > prod1, "Math: mulDiv overflow");
                              ///////////////////////////////////////////////
                              // 512 by 256 division.
                              ///////////////////////////////////////////////
                              // Make division exact by subtracting the remainder from [prod1 prod0].
                              uint256 remainder;
                              assembly {
                                  // Compute remainder using mulmod.
                                  remainder := mulmod(x, y, denominator)
                                  // Subtract 256 bit number from 512 bit number.
                                  prod1 := sub(prod1, gt(remainder, prod0))
                                  prod0 := sub(prod0, remainder)
                              }
                              // Factor powers of two out of denominator and compute largest power of two divisor of denominator. Always >= 1.
                              // See https://cs.stackexchange.com/q/138556/92363.
                              // Does not overflow because the denominator cannot be zero at this stage in the function.
                              uint256 twos = denominator & (~denominator + 1);
                              assembly {
                                  // Divide denominator by twos.
                                  denominator := div(denominator, twos)
                                  // Divide [prod1 prod0] by twos.
                                  prod0 := div(prod0, twos)
                                  // Flip twos such that it is 2^256 / twos. If twos is zero, then it becomes one.
                                  twos := add(div(sub(0, twos), twos), 1)
                              }
                              // Shift in bits from prod1 into prod0.
                              prod0 |= prod1 * twos;
                              // Invert denominator mod 2^256. Now that denominator is an odd number, it has an inverse modulo 2^256 such
                              // that denominator * inv = 1 mod 2^256. Compute the inverse by starting with a seed that is correct for
                              // four bits. That is, denominator * inv = 1 mod 2^4.
                              uint256 inverse = (3 * denominator) ^ 2;
                              // Use the Newton-Raphson iteration to improve the precision. Thanks to Hensel's lifting lemma, this also works
                              // in modular arithmetic, doubling the correct bits in each step.
                              inverse *= 2 - denominator * inverse; // inverse mod 2^8
                              inverse *= 2 - denominator * inverse; // inverse mod 2^16
                              inverse *= 2 - denominator * inverse; // inverse mod 2^32
                              inverse *= 2 - denominator * inverse; // inverse mod 2^64
                              inverse *= 2 - denominator * inverse; // inverse mod 2^128
                              inverse *= 2 - denominator * inverse; // inverse mod 2^256
                              // Because the division is now exact we can divide by multiplying with the modular inverse of denominator.
                              // This will give us the correct result modulo 2^256. Since the preconditions guarantee that the outcome is
                              // less than 2^256, this is the final result. We don't need to compute the high bits of the result and prod1
                              // is no longer required.
                              result = prod0 * inverse;
                              return result;
                          }
                      }
                      /**
                       * @notice Calculates x * y / denominator with full precision, following the selected rounding direction.
                       */
                      function mulDiv(uint256 x, uint256 y, uint256 denominator, Rounding rounding) internal pure returns (uint256) {
                          uint256 result = mulDiv(x, y, denominator);
                          if (rounding == Rounding.Up && mulmod(x, y, denominator) > 0) {
                              result += 1;
                          }
                          return result;
                      }
                      /**
                       * @dev Returns the square root of a number. If the number is not a perfect square, the value is rounded down.
                       *
                       * Inspired by Henry S. Warren, Jr.'s "Hacker's Delight" (Chapter 11).
                       */
                      function sqrt(uint256 a) internal pure returns (uint256) {
                          if (a == 0) {
                              return 0;
                          }
                          // For our first guess, we get the biggest power of 2 which is smaller than the square root of the target.
                          //
                          // We know that the "msb" (most significant bit) of our target number `a` is a power of 2 such that we have
                          // `msb(a) <= a < 2*msb(a)`. This value can be written `msb(a)=2**k` with `k=log2(a)`.
                          //
                          // This can be rewritten `2**log2(a) <= a < 2**(log2(a) + 1)`
                          // → `sqrt(2**k) <= sqrt(a) < sqrt(2**(k+1))`
                          // → `2**(k/2) <= sqrt(a) < 2**((k+1)/2) <= 2**(k/2 + 1)`
                          //
                          // Consequently, `2**(log2(a) / 2)` is a good first approximation of `sqrt(a)` with at least 1 correct bit.
                          uint256 result = 1 << (log2(a) >> 1);
                          // At this point `result` is an estimation with one bit of precision. We know the true value is a uint128,
                          // since it is the square root of a uint256. Newton's method converges quadratically (precision doubles at
                          // every iteration). We thus need at most 7 iteration to turn our partial result with one bit of precision
                          // into the expected uint128 result.
                          unchecked {
                              result = (result + a / result) >> 1;
                              result = (result + a / result) >> 1;
                              result = (result + a / result) >> 1;
                              result = (result + a / result) >> 1;
                              result = (result + a / result) >> 1;
                              result = (result + a / result) >> 1;
                              result = (result + a / result) >> 1;
                              return min(result, a / result);
                          }
                      }
                      /**
                       * @notice Calculates sqrt(a), following the selected rounding direction.
                       */
                      function sqrt(uint256 a, Rounding rounding) internal pure returns (uint256) {
                          unchecked {
                              uint256 result = sqrt(a);
                              return result + (rounding == Rounding.Up && result * result < a ? 1 : 0);
                          }
                      }
                      /**
                       * @dev Return the log in base 2, rounded down, of a positive value.
                       * Returns 0 if given 0.
                       */
                      function log2(uint256 value) internal pure returns (uint256) {
                          uint256 result = 0;
                          unchecked {
                              if (value >> 128 > 0) {
                                  value >>= 128;
                                  result += 128;
                              }
                              if (value >> 64 > 0) {
                                  value >>= 64;
                                  result += 64;
                              }
                              if (value >> 32 > 0) {
                                  value >>= 32;
                                  result += 32;
                              }
                              if (value >> 16 > 0) {
                                  value >>= 16;
                                  result += 16;
                              }
                              if (value >> 8 > 0) {
                                  value >>= 8;
                                  result += 8;
                              }
                              if (value >> 4 > 0) {
                                  value >>= 4;
                                  result += 4;
                              }
                              if (value >> 2 > 0) {
                                  value >>= 2;
                                  result += 2;
                              }
                              if (value >> 1 > 0) {
                                  result += 1;
                              }
                          }
                          return result;
                      }
                      /**
                       * @dev Return the log in base 2, following the selected rounding direction, of a positive value.
                       * Returns 0 if given 0.
                       */
                      function log2(uint256 value, Rounding rounding) internal pure returns (uint256) {
                          unchecked {
                              uint256 result = log2(value);
                              return result + (rounding == Rounding.Up && 1 << result < value ? 1 : 0);
                          }
                      }
                      /**
                       * @dev Return the log in base 10, rounded down, of a positive value.
                       * Returns 0 if given 0.
                       */
                      function log10(uint256 value) internal pure returns (uint256) {
                          uint256 result = 0;
                          unchecked {
                              if (value >= 10 ** 64) {
                                  value /= 10 ** 64;
                                  result += 64;
                              }
                              if (value >= 10 ** 32) {
                                  value /= 10 ** 32;
                                  result += 32;
                              }
                              if (value >= 10 ** 16) {
                                  value /= 10 ** 16;
                                  result += 16;
                              }
                              if (value >= 10 ** 8) {
                                  value /= 10 ** 8;
                                  result += 8;
                              }
                              if (value >= 10 ** 4) {
                                  value /= 10 ** 4;
                                  result += 4;
                              }
                              if (value >= 10 ** 2) {
                                  value /= 10 ** 2;
                                  result += 2;
                              }
                              if (value >= 10 ** 1) {
                                  result += 1;
                              }
                          }
                          return result;
                      }
                      /**
                       * @dev Return the log in base 10, following the selected rounding direction, of a positive value.
                       * Returns 0 if given 0.
                       */
                      function log10(uint256 value, Rounding rounding) internal pure returns (uint256) {
                          unchecked {
                              uint256 result = log10(value);
                              return result + (rounding == Rounding.Up && 10 ** result < value ? 1 : 0);
                          }
                      }
                      /**
                       * @dev Return the log in base 256, rounded down, of a positive value.
                       * Returns 0 if given 0.
                       *
                       * Adding one to the result gives the number of pairs of hex symbols needed to represent `value` as a hex string.
                       */
                      function log256(uint256 value) internal pure returns (uint256) {
                          uint256 result = 0;
                          unchecked {
                              if (value >> 128 > 0) {
                                  value >>= 128;
                                  result += 16;
                              }
                              if (value >> 64 > 0) {
                                  value >>= 64;
                                  result += 8;
                              }
                              if (value >> 32 > 0) {
                                  value >>= 32;
                                  result += 4;
                              }
                              if (value >> 16 > 0) {
                                  value >>= 16;
                                  result += 2;
                              }
                              if (value >> 8 > 0) {
                                  result += 1;
                              }
                          }
                          return result;
                      }
                      /**
                       * @dev Return the log in base 256, following the selected rounding direction, of a positive value.
                       * Returns 0 if given 0.
                       */
                      function log256(uint256 value, Rounding rounding) internal pure returns (uint256) {
                          unchecked {
                              uint256 result = log256(value);
                              return result + (rounding == Rounding.Up && 1 << (result << 3) < value ? 1 : 0);
                          }
                      }
                  }
                  // SPDX-License-Identifier: MIT
                  // OpenZeppelin Contracts (last updated v4.9.0) (security/ReentrancyGuard.sol)
                  pragma solidity ^0.8.0;
                  /**
                   * @dev Contract module that helps prevent reentrant calls to a function.
                   *
                   * Inheriting from `ReentrancyGuard` will make the {nonReentrant} modifier
                   * available, which can be applied to functions to make sure there are no nested
                   * (reentrant) calls to them.
                   *
                   * Note that because there is a single `nonReentrant` guard, functions marked as
                   * `nonReentrant` may not call one another. This can be worked around by making
                   * those functions `private`, and then adding `external` `nonReentrant` entry
                   * points to them.
                   *
                   * TIP: If you would like to learn more about reentrancy and alternative ways
                   * to protect against it, check out our blog post
                   * https://blog.openzeppelin.com/reentrancy-after-istanbul/[Reentrancy After Istanbul].
                   */
                  abstract contract ReentrancyGuard {
                      // Booleans are more expensive than uint256 or any type that takes up a full
                      // word because each write operation emits an extra SLOAD to first read the
                      // slot's contents, replace the bits taken up by the boolean, and then write
                      // back. This is the compiler's defense against contract upgrades and
                      // pointer aliasing, and it cannot be disabled.
                      // The values being non-zero value makes deployment a bit more expensive,
                      // but in exchange the refund on every call to nonReentrant will be lower in
                      // amount. Since refunds are capped to a percentage of the total
                      // transaction's gas, it is best to keep them low in cases like this one, to
                      // increase the likelihood of the full refund coming into effect.
                      uint256 private constant _NOT_ENTERED = 1;
                      uint256 private constant _ENTERED = 2;
                      uint256 private _status;
                      constructor() {
                          _status = _NOT_ENTERED;
                      }
                      /**
                       * @dev Prevents a contract from calling itself, directly or indirectly.
                       * Calling a `nonReentrant` function from another `nonReentrant`
                       * function is not supported. It is possible to prevent this from happening
                       * by making the `nonReentrant` function external, and making it call a
                       * `private` function that does the actual work.
                       */
                      modifier nonReentrant() {
                          _nonReentrantBefore();
                          _;
                          _nonReentrantAfter();
                      }
                      function _nonReentrantBefore() private {
                          // On the first call to nonReentrant, _status will be _NOT_ENTERED
                          require(_status != _ENTERED, "ReentrancyGuard: reentrant call");
                          // Any calls to nonReentrant after this point will fail
                          _status = _ENTERED;
                      }
                      function _nonReentrantAfter() private {
                          // By storing the original value once again, a refund is triggered (see
                          // https://eips.ethereum.org/EIPS/eip-2200)
                          _status = _NOT_ENTERED;
                      }
                      /**
                       * @dev Returns true if the reentrancy guard is currently set to "entered", which indicates there is a
                       * `nonReentrant` function in the call stack.
                       */
                      function _reentrancyGuardEntered() internal view returns (bool) {
                          return _status == _ENTERED;
                      }
                  }
                  // SPDX-License-Identifier: MIT
                  // OpenZeppelin Contracts (last updated v4.9.0) (utils/Address.sol)
                  pragma solidity ^0.8.1;
                  /**
                   * @dev Collection of functions related to the address type
                   */
                  library Address {
                      /**
                       * @dev Returns true if `account` is a contract.
                       *
                       * [IMPORTANT]
                       * ====
                       * It is unsafe to assume that an address for which this function returns
                       * false is an externally-owned account (EOA) and not a contract.
                       *
                       * Among others, `isContract` will return false for the following
                       * types of addresses:
                       *
                       *  - an externally-owned account
                       *  - a contract in construction
                       *  - an address where a contract will be created
                       *  - an address where a contract lived, but was destroyed
                       *
                       * Furthermore, `isContract` will also return true if the target contract within
                       * the same transaction is already scheduled for destruction by `SELFDESTRUCT`,
                       * which only has an effect at the end of a transaction.
                       * ====
                       *
                       * [IMPORTANT]
                       * ====
                       * You shouldn't rely on `isContract` to protect against flash loan attacks!
                       *
                       * Preventing calls from contracts is highly discouraged. It breaks composability, breaks support for smart wallets
                       * like Gnosis Safe, and does not provide security since it can be circumvented by calling from a contract
                       * constructor.
                       * ====
                       */
                      function isContract(address account) internal view returns (bool) {
                          // This method relies on extcodesize/address.code.length, which returns 0
                          // for contracts in construction, since the code is only stored at the end
                          // of the constructor execution.
                          return account.code.length > 0;
                      }
                      /**
                       * @dev Replacement for Solidity's `transfer`: sends `amount` wei to
                       * `recipient`, forwarding all available gas and reverting on errors.
                       *
                       * https://eips.ethereum.org/EIPS/eip-1884[EIP1884] increases the gas cost
                       * of certain opcodes, possibly making contracts go over the 2300 gas limit
                       * imposed by `transfer`, making them unable to receive funds via
                       * `transfer`. {sendValue} removes this limitation.
                       *
                       * https://consensys.net/diligence/blog/2019/09/stop-using-soliditys-transfer-now/[Learn more].
                       *
                       * IMPORTANT: because control is transferred to `recipient`, care must be
                       * taken to not create reentrancy vulnerabilities. Consider using
                       * {ReentrancyGuard} or the
                       * https://solidity.readthedocs.io/en/v0.8.0/security-considerations.html#use-the-checks-effects-interactions-pattern[checks-effects-interactions pattern].
                       */
                      function sendValue(address payable recipient, uint256 amount) internal {
                          require(address(this).balance >= amount, "Address: insufficient balance");
                          (bool success, ) = recipient.call{value: amount}("");
                          require(success, "Address: unable to send value, recipient may have reverted");
                      }
                      /**
                       * @dev Performs a Solidity function call using a low level `call`. A
                       * plain `call` is an unsafe replacement for a function call: use this
                       * function instead.
                       *
                       * If `target` reverts with a revert reason, it is bubbled up by this
                       * function (like regular Solidity function calls).
                       *
                       * Returns the raw returned data. To convert to the expected return value,
                       * use https://solidity.readthedocs.io/en/latest/units-and-global-variables.html?highlight=abi.decode#abi-encoding-and-decoding-functions[`abi.decode`].
                       *
                       * Requirements:
                       *
                       * - `target` must be a contract.
                       * - calling `target` with `data` must not revert.
                       *
                       * _Available since v3.1._
                       */
                      function functionCall(address target, bytes memory data) internal returns (bytes memory) {
                          return functionCallWithValue(target, data, 0, "Address: low-level call failed");
                      }
                      /**
                       * @dev Same as {xref-Address-functionCall-address-bytes-}[`functionCall`], but with
                       * `errorMessage` as a fallback revert reason when `target` reverts.
                       *
                       * _Available since v3.1._
                       */
                      function functionCall(
                          address target,
                          bytes memory data,
                          string memory errorMessage
                      ) internal returns (bytes memory) {
                          return functionCallWithValue(target, data, 0, errorMessage);
                      }
                      /**
                       * @dev Same as {xref-Address-functionCall-address-bytes-}[`functionCall`],
                       * but also transferring `value` wei to `target`.
                       *
                       * Requirements:
                       *
                       * - the calling contract must have an ETH balance of at least `value`.
                       * - the called Solidity function must be `payable`.
                       *
                       * _Available since v3.1._
                       */
                      function functionCallWithValue(address target, bytes memory data, uint256 value) internal returns (bytes memory) {
                          return functionCallWithValue(target, data, value, "Address: low-level call with value failed");
                      }
                      /**
                       * @dev Same as {xref-Address-functionCallWithValue-address-bytes-uint256-}[`functionCallWithValue`], but
                       * with `errorMessage` as a fallback revert reason when `target` reverts.
                       *
                       * _Available since v3.1._
                       */
                      function functionCallWithValue(
                          address target,
                          bytes memory data,
                          uint256 value,
                          string memory errorMessage
                      ) internal returns (bytes memory) {
                          require(address(this).balance >= value, "Address: insufficient balance for call");
                          (bool success, bytes memory returndata) = target.call{value: value}(data);
                          return verifyCallResultFromTarget(target, success, returndata, errorMessage);
                      }
                      /**
                       * @dev Same as {xref-Address-functionCall-address-bytes-}[`functionCall`],
                       * but performing a static call.
                       *
                       * _Available since v3.3._
                       */
                      function functionStaticCall(address target, bytes memory data) internal view returns (bytes memory) {
                          return functionStaticCall(target, data, "Address: low-level static call failed");
                      }
                      /**
                       * @dev Same as {xref-Address-functionCall-address-bytes-string-}[`functionCall`],
                       * but performing a static call.
                       *
                       * _Available since v3.3._
                       */
                      function functionStaticCall(
                          address target,
                          bytes memory data,
                          string memory errorMessage
                      ) internal view returns (bytes memory) {
                          (bool success, bytes memory returndata) = target.staticcall(data);
                          return verifyCallResultFromTarget(target, success, returndata, errorMessage);
                      }
                      /**
                       * @dev Same as {xref-Address-functionCall-address-bytes-}[`functionCall`],
                       * but performing a delegate call.
                       *
                       * _Available since v3.4._
                       */
                      function functionDelegateCall(address target, bytes memory data) internal returns (bytes memory) {
                          return functionDelegateCall(target, data, "Address: low-level delegate call failed");
                      }
                      /**
                       * @dev Same as {xref-Address-functionCall-address-bytes-string-}[`functionCall`],
                       * but performing a delegate call.
                       *
                       * _Available since v3.4._
                       */
                      function functionDelegateCall(
                          address target,
                          bytes memory data,
                          string memory errorMessage
                      ) internal returns (bytes memory) {
                          (bool success, bytes memory returndata) = target.delegatecall(data);
                          return verifyCallResultFromTarget(target, success, returndata, errorMessage);
                      }
                      /**
                       * @dev Tool to verify that a low level call to smart-contract was successful, and revert (either by bubbling
                       * the revert reason or using the provided one) in case of unsuccessful call or if target was not a contract.
                       *
                       * _Available since v4.8._
                       */
                      function verifyCallResultFromTarget(
                          address target,
                          bool success,
                          bytes memory returndata,
                          string memory errorMessage
                      ) internal view returns (bytes memory) {
                          if (success) {
                              if (returndata.length == 0) {
                                  // only check isContract if the call was successful and the return data is empty
                                  // otherwise we already know that it was a contract
                                  require(isContract(target), "Address: call to non-contract");
                              }
                              return returndata;
                          } else {
                              _revert(returndata, errorMessage);
                          }
                      }
                      /**
                       * @dev Tool to verify that a low level call was successful, and revert if it wasn't, either by bubbling the
                       * revert reason or using the provided one.
                       *
                       * _Available since v4.3._
                       */
                      function verifyCallResult(
                          bool success,
                          bytes memory returndata,
                          string memory errorMessage
                      ) internal pure returns (bytes memory) {
                          if (success) {
                              return returndata;
                          } else {
                              _revert(returndata, errorMessage);
                          }
                      }
                      function _revert(bytes memory returndata, string memory errorMessage) private pure {
                          // Look for revert reason and bubble it up if present
                          if (returndata.length > 0) {
                              // The easiest way to bubble the revert reason is using memory via assembly
                              /// @solidity memory-safe-assembly
                              assembly {
                                  let returndata_size := mload(returndata)
                                  revert(add(32, returndata), returndata_size)
                              }
                          } else {
                              revert(errorMessage);
                          }
                      }
                  }
                  // SPDX-License-Identifier: MIT
                  // OpenZeppelin Contracts (last updated v4.9.0) (token/ERC20/extensions/IERC20Permit.sol)
                  pragma solidity ^0.8.0;
                  /**
                   * @dev Interface of the ERC20 Permit extension allowing approvals to be made via signatures, as defined in
                   * https://eips.ethereum.org/EIPS/eip-2612[EIP-2612].
                   *
                   * Adds the {permit} method, which can be used to change an account's ERC20 allowance (see {IERC20-allowance}) by
                   * presenting a message signed by the account. By not relying on {IERC20-approve}, the token holder account doesn't
                   * need to send a transaction, and thus is not required to hold Ether at all.
                   */
                  interface IERC20Permit {
                      /**
                       * @dev Sets `value` as the allowance of `spender` over ``owner``'s tokens,
                       * given ``owner``'s signed approval.
                       *
                       * IMPORTANT: The same issues {IERC20-approve} has related to transaction
                       * ordering also apply here.
                       *
                       * Emits an {Approval} event.
                       *
                       * Requirements:
                       *
                       * - `spender` cannot be the zero address.
                       * - `deadline` must be a timestamp in the future.
                       * - `v`, `r` and `s` must be a valid `secp256k1` signature from `owner`
                       * over the EIP712-formatted function arguments.
                       * - the signature must use ``owner``'s current nonce (see {nonces}).
                       *
                       * For more information on the signature format, see the
                       * https://eips.ethereum.org/EIPS/eip-2612#specification[relevant EIP
                       * section].
                       */
                      function permit(
                          address owner,
                          address spender,
                          uint256 value,
                          uint256 deadline,
                          uint8 v,
                          bytes32 r,
                          bytes32 s
                      ) external;
                      /**
                       * @dev Returns the current nonce for `owner`. This value must be
                       * included whenever a signature is generated for {permit}.
                       *
                       * Every successful call to {permit} increases ``owner``'s nonce by one. This
                       * prevents a signature from being used multiple times.
                       */
                      function nonces(address owner) external view returns (uint256);
                      /**
                       * @dev Returns the domain separator used in the encoding of the signature for {permit}, as defined by {EIP712}.
                       */
                      // solhint-disable-next-line func-name-mixedcase
                      function DOMAIN_SEPARATOR() external view returns (bytes32);
                  }