ETH Price: $3,887.57 (+1.80%)

Transaction Decoder

Block:
22637918 at Jun-05-2025 10:48:47 AM +UTC
Transaction Fee:
0.001937712665841792 ETH $7.53
Gas Used:
296,576 Gas / 6.533612517 Gwei

Emitted Events:

35 TransparentUpgradeableProxy.0x8c5be1e5ebec7d5bd14f71427d1e84f3dd0314c0f7b2291e5b200ac8c7c3b925( 0x8c5be1e5ebec7d5bd14f71427d1e84f3dd0314c0f7b2291e5b200ac8c7c3b925, 0x00000000000000000000000000abc95608fd058cf0b46200552bdd46d1fd64e9, 0x00000000000000000000000065cf0c884a6ec64a1f8d9a1bfdd90f1a20f85e00, 0000000000000000000000000000000000000000000000028c418afbbb5c0000 )
36 TransparentUpgradeableProxy.0x8c5be1e5ebec7d5bd14f71427d1e84f3dd0314c0f7b2291e5b200ac8c7c3b925( 0x8c5be1e5ebec7d5bd14f71427d1e84f3dd0314c0f7b2291e5b200ac8c7c3b925, 0x00000000000000000000000000abc95608fd058cf0b46200552bdd46d1fd64e9, 0x00000000000000000000000065cf0c884a6ec64a1f8d9a1bfdd90f1a20f85e00, 0000000000000000000000000000000000000000000000000000000000000000 )
37 TransparentUpgradeableProxy.0xddf252ad1be2c89b69c2b068fc378daa952ba7f163c4a11628f55a4df523b3ef( 0xddf252ad1be2c89b69c2b068fc378daa952ba7f163c4a11628f55a4df523b3ef, 0x00000000000000000000000000abc95608fd058cf0b46200552bdd46d1fd64e9, 0x0000000000000000000000004791eb2224d272655e8d5da171bb07dd5a805ff6, 0000000000000000000000000000000000000000000000028c418afbbb5c0000 )

Account State Difference:

  Address   Before After State Difference Code
0x4791Eb22...d5a805fF6
1.772997159460500806 Eth
Nonce: 1756
1.771059446794659014 Eth
Nonce: 1757
0.001937712665841792
0x8d0D000E...476f08B0d
(BuilderNet)
84.102384403497879294 Eth84.103618050603621758 Eth0.001233647105742464

Execution Trace

0x65cf0c884a6ec64a1f8d9a1bfdd90f1a20f85e00.60806040( )
  • TransparentUpgradeableProxy.d505accf( )
    • Stablecoin.permit( owner=0x00ABC95608fD058CF0b46200552Bdd46d1fd64E9, spender=0x65cF0C884a6Ec64A1f8d9A1bfDD90F1a20f85E00, value=47000000000000000000, deadline=1749124125, v=28, r=14C4BF03F15772F93552EF5D9DC9BB2A17516CDA32E4DD2CDD5C37C73071D6F6, s=755E27580243BA97836B5566F9AF9CB02EE8756ECB81F12CC5E998DDAEEBEED1 )
      • Null: 0x000...001.091ca758( )
      • TransparentUpgradeableProxy.23b872dd( )
        • Stablecoin.transferFrom( from=0x00ABC95608fD058CF0b46200552Bdd46d1fd64E9, to=0x4791Eb2224D272655e8d5da171bB07Dd5a805fF6, amount=47000000000000000000 ) => ( True )
        • 0x4791eb2224d272655e8d5da171bb07dd5a805ff6.SELFDESTRUCT( )
          File 1 of 2: TransparentUpgradeableProxy
          // SPDX-License-Identifier: MIT
          // OpenZeppelin Contracts (last updated v4.5.0) (interfaces/draft-IERC1822.sol)
          pragma solidity ^0.8.0;
          /**
           * @dev ERC1822: Universal Upgradeable Proxy Standard (UUPS) documents a method for upgradeability through a simplified
           * proxy whose upgrades are fully controlled by the current implementation.
           */
          interface IERC1822Proxiable {
              /**
               * @dev Returns the storage slot that the proxiable contract assumes is being used to store the implementation
               * address.
               *
               * IMPORTANT: A proxy pointing at a proxiable contract should not be considered proxiable itself, because this risks
               * bricking a proxy that upgrades to it, by delegating to itself until out of gas. Thus it is critical that this
               * function revert if invoked through a proxy.
               */
              function proxiableUUID() external view returns (bytes32);
          }
          // SPDX-License-Identifier: MIT
          // OpenZeppelin Contracts (last updated v4.7.0) (proxy/ERC1967/ERC1967Proxy.sol)
          pragma solidity ^0.8.0;
          import "../Proxy.sol";
          import "./ERC1967Upgrade.sol";
          /**
           * @dev This contract implements an upgradeable proxy. It is upgradeable because calls are delegated to an
           * implementation address that can be changed. This address is stored in storage in the location specified by
           * https://eips.ethereum.org/EIPS/eip-1967[EIP1967], so that it doesn't conflict with the storage layout of the
           * implementation behind the proxy.
           */
          contract ERC1967Proxy is Proxy, ERC1967Upgrade {
              /**
               * @dev Initializes the upgradeable proxy with an initial implementation specified by `_logic`.
               *
               * If `_data` is nonempty, it's used as data in a delegate call to `_logic`. This will typically be an encoded
               * function call, and allows initializing the storage of the proxy like a Solidity constructor.
               */
              constructor(address _logic, bytes memory _data) payable {
                  _upgradeToAndCall(_logic, _data, false);
              }
              /**
               * @dev Returns the current implementation address.
               */
              function _implementation() internal view virtual override returns (address impl) {
                  return ERC1967Upgrade._getImplementation();
              }
          }
          // SPDX-License-Identifier: MIT
          // OpenZeppelin Contracts (last updated v4.5.0) (proxy/ERC1967/ERC1967Upgrade.sol)
          pragma solidity ^0.8.2;
          import "../beacon/IBeacon.sol";
          import "../../interfaces/draft-IERC1822.sol";
          import "../../utils/Address.sol";
          import "../../utils/StorageSlot.sol";
          /**
           * @dev This abstract contract provides getters and event emitting update functions for
           * https://eips.ethereum.org/EIPS/eip-1967[EIP1967] slots.
           *
           * _Available since v4.1._
           *
           * @custom:oz-upgrades-unsafe-allow delegatecall
           */
          abstract contract ERC1967Upgrade {
              // This is the keccak-256 hash of "eip1967.proxy.rollback" subtracted by 1
              bytes32 private constant _ROLLBACK_SLOT = 0x4910fdfa16fed3260ed0e7147f7cc6da11a60208b5b9406d12a635614ffd9143;
              /**
               * @dev Storage slot with the address of the current implementation.
               * This is the keccak-256 hash of "eip1967.proxy.implementation" subtracted by 1, and is
               * validated in the constructor.
               */
              bytes32 internal constant _IMPLEMENTATION_SLOT = 0x360894a13ba1a3210667c828492db98dca3e2076cc3735a920a3ca505d382bbc;
              /**
               * @dev Emitted when the implementation is upgraded.
               */
              event Upgraded(address indexed implementation);
              /**
               * @dev Returns the current implementation address.
               */
              function _getImplementation() internal view returns (address) {
                  return StorageSlot.getAddressSlot(_IMPLEMENTATION_SLOT).value;
              }
              /**
               * @dev Stores a new address in the EIP1967 implementation slot.
               */
              function _setImplementation(address newImplementation) private {
                  require(Address.isContract(newImplementation), "ERC1967: new implementation is not a contract");
                  StorageSlot.getAddressSlot(_IMPLEMENTATION_SLOT).value = newImplementation;
              }
              /**
               * @dev Perform implementation upgrade
               *
               * Emits an {Upgraded} event.
               */
              function _upgradeTo(address newImplementation) internal {
                  _setImplementation(newImplementation);
                  emit Upgraded(newImplementation);
              }
              /**
               * @dev Perform implementation upgrade with additional setup call.
               *
               * Emits an {Upgraded} event.
               */
              function _upgradeToAndCall(
                  address newImplementation,
                  bytes memory data,
                  bool forceCall
              ) internal {
                  _upgradeTo(newImplementation);
                  if (data.length > 0 || forceCall) {
                      Address.functionDelegateCall(newImplementation, data);
                  }
              }
              /**
               * @dev Perform implementation upgrade with security checks for UUPS proxies, and additional setup call.
               *
               * Emits an {Upgraded} event.
               */
              function _upgradeToAndCallUUPS(
                  address newImplementation,
                  bytes memory data,
                  bool forceCall
              ) internal {
                  // Upgrades from old implementations will perform a rollback test. This test requires the new
                  // implementation to upgrade back to the old, non-ERC1822 compliant, implementation. Removing
                  // this special case will break upgrade paths from old UUPS implementation to new ones.
                  if (StorageSlot.getBooleanSlot(_ROLLBACK_SLOT).value) {
                      _setImplementation(newImplementation);
                  } else {
                      try IERC1822Proxiable(newImplementation).proxiableUUID() returns (bytes32 slot) {
                          require(slot == _IMPLEMENTATION_SLOT, "ERC1967Upgrade: unsupported proxiableUUID");
                      } catch {
                          revert("ERC1967Upgrade: new implementation is not UUPS");
                      }
                      _upgradeToAndCall(newImplementation, data, forceCall);
                  }
              }
              /**
               * @dev Storage slot with the admin of the contract.
               * This is the keccak-256 hash of "eip1967.proxy.admin" subtracted by 1, and is
               * validated in the constructor.
               */
              bytes32 internal constant _ADMIN_SLOT = 0xb53127684a568b3173ae13b9f8a6016e243e63b6e8ee1178d6a717850b5d6103;
              /**
               * @dev Emitted when the admin account has changed.
               */
              event AdminChanged(address previousAdmin, address newAdmin);
              /**
               * @dev Returns the current admin.
               */
              function _getAdmin() internal view returns (address) {
                  return StorageSlot.getAddressSlot(_ADMIN_SLOT).value;
              }
              /**
               * @dev Stores a new address in the EIP1967 admin slot.
               */
              function _setAdmin(address newAdmin) private {
                  require(newAdmin != address(0), "ERC1967: new admin is the zero address");
                  StorageSlot.getAddressSlot(_ADMIN_SLOT).value = newAdmin;
              }
              /**
               * @dev Changes the admin of the proxy.
               *
               * Emits an {AdminChanged} event.
               */
              function _changeAdmin(address newAdmin) internal {
                  emit AdminChanged(_getAdmin(), newAdmin);
                  _setAdmin(newAdmin);
              }
              /**
               * @dev The storage slot of the UpgradeableBeacon contract which defines the implementation for this proxy.
               * This is bytes32(uint256(keccak256('eip1967.proxy.beacon')) - 1)) and is validated in the constructor.
               */
              bytes32 internal constant _BEACON_SLOT = 0xa3f0ad74e5423aebfd80d3ef4346578335a9a72aeaee59ff6cb3582b35133d50;
              /**
               * @dev Emitted when the beacon is upgraded.
               */
              event BeaconUpgraded(address indexed beacon);
              /**
               * @dev Returns the current beacon.
               */
              function _getBeacon() internal view returns (address) {
                  return StorageSlot.getAddressSlot(_BEACON_SLOT).value;
              }
              /**
               * @dev Stores a new beacon in the EIP1967 beacon slot.
               */
              function _setBeacon(address newBeacon) private {
                  require(Address.isContract(newBeacon), "ERC1967: new beacon is not a contract");
                  require(
                      Address.isContract(IBeacon(newBeacon).implementation()),
                      "ERC1967: beacon implementation is not a contract"
                  );
                  StorageSlot.getAddressSlot(_BEACON_SLOT).value = newBeacon;
              }
              /**
               * @dev Perform beacon upgrade with additional setup call. Note: This upgrades the address of the beacon, it does
               * not upgrade the implementation contained in the beacon (see {UpgradeableBeacon-_setImplementation} for that).
               *
               * Emits a {BeaconUpgraded} event.
               */
              function _upgradeBeaconToAndCall(
                  address newBeacon,
                  bytes memory data,
                  bool forceCall
              ) internal {
                  _setBeacon(newBeacon);
                  emit BeaconUpgraded(newBeacon);
                  if (data.length > 0 || forceCall) {
                      Address.functionDelegateCall(IBeacon(newBeacon).implementation(), data);
                  }
              }
          }
          // SPDX-License-Identifier: MIT
          // OpenZeppelin Contracts (last updated v4.6.0) (proxy/Proxy.sol)
          pragma solidity ^0.8.0;
          /**
           * @dev This abstract contract provides a fallback function that delegates all calls to another contract using the EVM
           * instruction `delegatecall`. We refer to the second contract as the _implementation_ behind the proxy, and it has to
           * be specified by overriding the virtual {_implementation} function.
           *
           * Additionally, delegation to the implementation can be triggered manually through the {_fallback} function, or to a
           * different contract through the {_delegate} function.
           *
           * The success and return data of the delegated call will be returned back to the caller of the proxy.
           */
          abstract contract Proxy {
              /**
               * @dev Delegates the current call to `implementation`.
               *
               * This function does not return to its internal call site, it will return directly to the external caller.
               */
              function _delegate(address implementation) internal virtual {
                  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 This is a virtual function that should be overridden so it returns the address to which the fallback function
               * and {_fallback} should delegate.
               */
              function _implementation() internal view virtual returns (address);
              /**
               * @dev Delegates the current call to the address returned by `_implementation()`.
               *
               * This function does not return to its internal call site, it will return directly to the external caller.
               */
              function _fallback() internal virtual {
                  _beforeFallback();
                  _delegate(_implementation());
              }
              /**
               * @dev Fallback function that delegates calls to the address returned by `_implementation()`. Will run if no other
               * function in the contract matches the call data.
               */
              fallback() external payable virtual {
                  _fallback();
              }
              /**
               * @dev Fallback function that delegates calls to the address returned by `_implementation()`. Will run if call data
               * is empty.
               */
              receive() external payable virtual {
                  _fallback();
              }
              /**
               * @dev Hook that is called before falling back to the implementation. Can happen as part of a manual `_fallback`
               * call, or as part of the Solidity `fallback` or `receive` functions.
               *
               * If overridden should call `super._beforeFallback()`.
               */
              function _beforeFallback() internal virtual {}
          }
          // SPDX-License-Identifier: MIT
          // OpenZeppelin Contracts v4.4.1 (proxy/beacon/IBeacon.sol)
          pragma solidity ^0.8.0;
          /**
           * @dev This is the interface that {BeaconProxy} expects of its beacon.
           */
          interface IBeacon {
              /**
               * @dev Must return an address that can be used as a delegate call target.
               *
               * {BeaconProxy} will check that this address is a contract.
               */
              function implementation() external view returns (address);
          }
          // SPDX-License-Identifier: MIT
          // OpenZeppelin Contracts (last updated v4.7.0) (proxy/transparent/TransparentUpgradeableProxy.sol)
          pragma solidity ^0.8.0;
          import "../ERC1967/ERC1967Proxy.sol";
          /**
           * @dev This contract implements a proxy that is upgradeable by an admin.
           *
           * To avoid https://medium.com/nomic-labs-blog/malicious-backdoors-in-ethereum-proxies-62629adf3357[proxy selector
           * clashing], which can potentially be used in an attack, this contract uses the
           * https://blog.openzeppelin.com/the-transparent-proxy-pattern/[transparent proxy pattern]. This pattern implies two
           * things that go hand in hand:
           *
           * 1. If any account other than the admin calls the proxy, the call will be forwarded to the implementation, even if
           * that call matches one of the admin functions exposed by the proxy itself.
           * 2. If the admin calls the proxy, it can access the admin functions, but its calls will never be forwarded to the
           * implementation. If the admin tries to call a function on the implementation it will fail with an error that says
           * "admin cannot fallback to proxy target".
           *
           * These properties mean that the admin account can only be used for admin actions like upgrading the proxy or changing
           * the admin, so it's best if it's a dedicated account that is not used for anything else. This will avoid headaches due
           * to sudden errors when trying to call a function from the proxy implementation.
           *
           * Our recommendation is for the dedicated account to be an instance of the {ProxyAdmin} contract. If set up this way,
           * you should think of the `ProxyAdmin` instance as the real administrative interface of your proxy.
           */
          contract TransparentUpgradeableProxy is ERC1967Proxy {
              /**
               * @dev Initializes an upgradeable proxy managed by `_admin`, backed by the implementation at `_logic`, and
               * optionally initialized with `_data` as explained in {ERC1967Proxy-constructor}.
               */
              constructor(
                  address _logic,
                  address admin_,
                  bytes memory _data
              ) payable ERC1967Proxy(_logic, _data) {
                  _changeAdmin(admin_);
              }
              /**
               * @dev Modifier used internally that will delegate the call to the implementation unless the sender is the admin.
               */
              modifier ifAdmin() {
                  if (msg.sender == _getAdmin()) {
                      _;
                  } else {
                      _fallback();
                  }
              }
              /**
               * @dev Returns the current admin.
               *
               * NOTE: Only the admin can call this function. See {ProxyAdmin-getProxyAdmin}.
               *
               * TIP: To get this value clients can read directly from the storage slot shown below (specified by EIP1967) using the
               * https://eth.wiki/json-rpc/API#eth_getstorageat[`eth_getStorageAt`] RPC call.
               * `0xb53127684a568b3173ae13b9f8a6016e243e63b6e8ee1178d6a717850b5d6103`
               */
              function admin() external ifAdmin returns (address admin_) {
                  admin_ = _getAdmin();
              }
              /**
               * @dev Returns the current implementation.
               *
               * NOTE: Only the admin can call this function. See {ProxyAdmin-getProxyImplementation}.
               *
               * TIP: To get this value clients can read directly from the storage slot shown below (specified by EIP1967) using the
               * https://eth.wiki/json-rpc/API#eth_getstorageat[`eth_getStorageAt`] RPC call.
               * `0x360894a13ba1a3210667c828492db98dca3e2076cc3735a920a3ca505d382bbc`
               */
              function implementation() external ifAdmin returns (address implementation_) {
                  implementation_ = _implementation();
              }
              /**
               * @dev Changes the admin of the proxy.
               *
               * Emits an {AdminChanged} event.
               *
               * NOTE: Only the admin can call this function. See {ProxyAdmin-changeProxyAdmin}.
               */
              function changeAdmin(address newAdmin) external virtual ifAdmin {
                  _changeAdmin(newAdmin);
              }
              /**
               * @dev Upgrade the implementation of the proxy.
               *
               * NOTE: Only the admin can call this function. See {ProxyAdmin-upgrade}.
               */
              function upgradeTo(address newImplementation) external ifAdmin {
                  _upgradeToAndCall(newImplementation, bytes(""), false);
              }
              /**
               * @dev Upgrade the implementation of the proxy, and then call a function from the new implementation as specified
               * by `data`, which should be an encoded function call. This is useful to initialize new storage variables in the
               * proxied contract.
               *
               * NOTE: Only the admin can call this function. See {ProxyAdmin-upgradeAndCall}.
               */
              function upgradeToAndCall(address newImplementation, bytes calldata data) external payable ifAdmin {
                  _upgradeToAndCall(newImplementation, data, true);
              }
              /**
               * @dev Returns the current admin.
               */
              function _admin() internal view virtual returns (address) {
                  return _getAdmin();
              }
              /**
               * @dev Makes sure the admin cannot access the fallback function. See {Proxy-_beforeFallback}.
               */
              function _beforeFallback() internal virtual override {
                  require(msg.sender != _getAdmin(), "TransparentUpgradeableProxy: admin cannot fallback to proxy target");
                  super._beforeFallback();
              }
          }
          // SPDX-License-Identifier: MIT
          // OpenZeppelin Contracts (last updated v4.8.0) (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
               * ====
               *
               * [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://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 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 v4.7.0) (utils/StorageSlot.sol)
          pragma solidity ^0.8.0;
          /**
           * @dev Library for reading and writing primitive types to specific storage slots.
           *
           * Storage slots are often used to avoid storage conflict when dealing with upgradeable contracts.
           * This library helps with reading and writing to such slots without the need for inline assembly.
           *
           * The functions in this library return Slot structs that contain a `value` member that can be used to read or write.
           *
           * Example usage to set ERC1967 implementation slot:
           * ```
           * contract ERC1967 {
           *     bytes32 internal constant _IMPLEMENTATION_SLOT = 0x360894a13ba1a3210667c828492db98dca3e2076cc3735a920a3ca505d382bbc;
           *
           *     function _getImplementation() internal view returns (address) {
           *         return StorageSlot.getAddressSlot(_IMPLEMENTATION_SLOT).value;
           *     }
           *
           *     function _setImplementation(address newImplementation) internal {
           *         require(Address.isContract(newImplementation), "ERC1967: new implementation is not a contract");
           *         StorageSlot.getAddressSlot(_IMPLEMENTATION_SLOT).value = newImplementation;
           *     }
           * }
           * ```
           *
           * _Available since v4.1 for `address`, `bool`, `bytes32`, and `uint256`._
           */
          library StorageSlot {
              struct AddressSlot {
                  address value;
              }
              struct BooleanSlot {
                  bool value;
              }
              struct Bytes32Slot {
                  bytes32 value;
              }
              struct Uint256Slot {
                  uint256 value;
              }
              /**
               * @dev Returns an `AddressSlot` with member `value` located at `slot`.
               */
              function getAddressSlot(bytes32 slot) internal pure returns (AddressSlot storage r) {
                  /// @solidity memory-safe-assembly
                  assembly {
                      r.slot := slot
                  }
              }
              /**
               * @dev Returns an `BooleanSlot` with member `value` located at `slot`.
               */
              function getBooleanSlot(bytes32 slot) internal pure returns (BooleanSlot storage r) {
                  /// @solidity memory-safe-assembly
                  assembly {
                      r.slot := slot
                  }
              }
              /**
               * @dev Returns an `Bytes32Slot` with member `value` located at `slot`.
               */
              function getBytes32Slot(bytes32 slot) internal pure returns (Bytes32Slot storage r) {
                  /// @solidity memory-safe-assembly
                  assembly {
                      r.slot := slot
                  }
              }
              /**
               * @dev Returns an `Uint256Slot` with member `value` located at `slot`.
               */
              function getUint256Slot(bytes32 slot) internal pure returns (Uint256Slot storage r) {
                  /// @solidity memory-safe-assembly
                  assembly {
                      r.slot := slot
                  }
              }
          }
          

          File 2 of 2: Stablecoin
          // SPDX-License-Identifier: MIT
          pragma solidity ^0.8.0;
          import "openzeppelin-contracts-upgradeable/contracts/token/ERC20/extensions/draft-ERC20PermitUpgradeable.sol";
          import "openzeppelin-contracts-upgradeable/contracts/access/Ownable2StepUpgradeable.sol";
          import "openzeppelin-contracts-upgradeable/contracts/security/PausableUpgradeable.sol";
          contract Stablecoin is ERC20PermitUpgradeable, Ownable2StepUpgradeable, PausableUpgradeable {
              mapping(address => bool) public frozen;
              event Mint(address indexed caller, address indexed to, uint256 amount);
              event Burn(address indexed caller, address indexed from, uint256 amount);
              event Freeze(address indexed caller, address indexed account);
              event Unfreeze(address indexed caller, address indexed account);
              function initialize(string memory _name, string memory _symbol) public initializer {
                  __Context_init();
                  __ERC20_init(_name, _symbol);
                  __ERC20Permit_init(_name);
                  __Ownable2Step_init();
                  __Pausable_init();
              }
              
              /**
               * @dev Throws if account is frozen.
               */
              modifier notFrozen(address account) {
                  require(!frozen[account], "Account is frozen");
                  _;
              }
              /** 
               * @dev See {ERC20-_mint}.
               * @param amount Mint amount
               * @return True if successful
               * Can only be called by the current owner.
               */
              function mint(uint256 amount) external onlyOwner returns (bool) {
                  _mint(_msgSender(), amount);
                  emit Mint(_msgSender(), _msgSender(), amount);
                  return true;
              }
              /**
               * @dev See {ERC20-_burn}.
               * @param amount Burn amount
               * @return True if successful
               * Can only be called by the current owner.
               */
              function burn(uint256 amount) external onlyOwner returns (bool) {
                  _burn(_msgSender(), amount);
                  emit Burn(_msgSender(), _msgSender(), amount);
                  return true;
              }
              
              /**
               * @dev Adds account to frozen state.
               * Can only be called by the current owner.
               */
              function freeze(address account) external onlyOwner {
                  frozen[account] = true;
                  emit Freeze(_msgSender(), account);
              }
              /**
               * @dev Removes account from frozen state.
               * Can only be called by the current owner.
               */
              function unfreeze(address account) external onlyOwner {
                  delete frozen[account];
                  emit Unfreeze(_msgSender(), account);
              }
              /**
               * @dev Triggers stopped state.
               * Can only be called by the current owner.
               */
              function pause() external onlyOwner {
                  _pause();
              }
              /**
               * @dev Returns to normal state.
               * Can only be called by the current owner.
               */
              function unpause() external onlyOwner {
                  _unpause();
              }
              /**
               * @dev Unsupported. Leaves the contract without owner.
               */
              function renounceOwnership() public view override onlyOwner {
                  revert("Unsupported");
              }
              /**
               * @dev See {ERC20-_transfer}.
               * @param from Source address
               * @param to Destination address
               * @param amount Transfer amount
               */
              function _transfer(address from, address to, uint256 amount) internal override whenNotPaused notFrozen(from) notFrozen(to) {
                  super._transfer(from, to, amount);
              }
              /**
               * @dev See {ERC20-_approve}.
               * @param owner Owners's address
               * @param spender Spender's address
               * @param amount Allowance amount
               */
              function _approve(address owner, address spender, uint256 amount) internal override whenNotPaused notFrozen(owner) notFrozen(spender) {
                  super._approve(owner, spender, amount);
              }
          }
          // SPDX-License-Identifier: MIT
          // OpenZeppelin Contracts (last updated v4.8.0) (token/ERC20/extensions/draft-ERC20Permit.sol)
          pragma solidity ^0.8.0;
          import "./draft-IERC20PermitUpgradeable.sol";
          import "../ERC20Upgradeable.sol";
          import "../../../utils/cryptography/ECDSAUpgradeable.sol";
          import "../../../utils/cryptography/EIP712Upgradeable.sol";
          import "../../../utils/CountersUpgradeable.sol";
          import "../../../proxy/utils/Initializable.sol";
          /**
           * @dev Implementation 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.
           *
           * _Available since v3.4._
           *
           * @custom:storage-size 51
           */
          abstract contract ERC20PermitUpgradeable is Initializable, ERC20Upgradeable, IERC20PermitUpgradeable, EIP712Upgradeable {
              using CountersUpgradeable for CountersUpgradeable.Counter;
              mapping(address => CountersUpgradeable.Counter) private _nonces;
              // solhint-disable-next-line var-name-mixedcase
              bytes32 private constant _PERMIT_TYPEHASH =
                  keccak256("Permit(address owner,address spender,uint256 value,uint256 nonce,uint256 deadline)");
              /**
               * @dev In previous versions `_PERMIT_TYPEHASH` was declared as `immutable`.
               * However, to ensure consistency with the upgradeable transpiler, we will continue
               * to reserve a slot.
               * @custom:oz-renamed-from _PERMIT_TYPEHASH
               */
              // solhint-disable-next-line var-name-mixedcase
              bytes32 private _PERMIT_TYPEHASH_DEPRECATED_SLOT;
              /**
               * @dev Initializes the {EIP712} domain separator using the `name` parameter, and setting `version` to `"1"`.
               *
               * It's a good idea to use the same `name` that is defined as the ERC20 token name.
               */
              function __ERC20Permit_init(string memory name) internal onlyInitializing {
                  __EIP712_init_unchained(name, "1");
              }
              function __ERC20Permit_init_unchained(string memory) internal onlyInitializing {}
              /**
               * @dev See {IERC20Permit-permit}.
               */
              function permit(
                  address owner,
                  address spender,
                  uint256 value,
                  uint256 deadline,
                  uint8 v,
                  bytes32 r,
                  bytes32 s
              ) public virtual override {
                  require(block.timestamp <= deadline, "ERC20Permit: expired deadline");
                  bytes32 structHash = keccak256(abi.encode(_PERMIT_TYPEHASH, owner, spender, value, _useNonce(owner), deadline));
                  bytes32 hash = _hashTypedDataV4(structHash);
                  address signer = ECDSAUpgradeable.recover(hash, v, r, s);
                  require(signer == owner, "ERC20Permit: invalid signature");
                  _approve(owner, spender, value);
              }
              /**
               * @dev See {IERC20Permit-nonces}.
               */
              function nonces(address owner) public view virtual override returns (uint256) {
                  return _nonces[owner].current();
              }
              /**
               * @dev See {IERC20Permit-DOMAIN_SEPARATOR}.
               */
              // solhint-disable-next-line func-name-mixedcase
              function DOMAIN_SEPARATOR() external view override returns (bytes32) {
                  return _domainSeparatorV4();
              }
              /**
               * @dev "Consume a nonce": return the current value and increment.
               *
               * _Available since v4.1._
               */
              function _useNonce(address owner) internal virtual returns (uint256 current) {
                  CountersUpgradeable.Counter storage nonce = _nonces[owner];
                  current = nonce.current();
                  nonce.increment();
              }
              /**
               * @dev This empty reserved space is put in place to allow future versions to add new
               * variables without shifting down storage in the inheritance chain.
               * See https://docs.openzeppelin.com/contracts/4.x/upgradeable#storage_gaps
               */
              uint256[49] private __gap;
          }
          // SPDX-License-Identifier: MIT
          // OpenZeppelin Contracts (last updated v4.8.0) (access/Ownable2Step.sol)
          pragma solidity ^0.8.0;
          import "./OwnableUpgradeable.sol";
          import "../proxy/utils/Initializable.sol";
          /**
           * @dev Contract module which provides 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} and {acceptOwnership}.
           *
           * This module is used through inheritance. It will make available all functions
           * from parent (Ownable).
           */
          abstract contract Ownable2StepUpgradeable is Initializable, OwnableUpgradeable {
              function __Ownable2Step_init() internal onlyInitializing {
                  __Ownable_init_unchained();
              }
              function __Ownable2Step_init_unchained() internal onlyInitializing {
              }
              address private _pendingOwner;
              event OwnershipTransferStarted(address indexed previousOwner, address indexed newOwner);
              /**
               * @dev Returns the address of the pending owner.
               */
              function pendingOwner() public view virtual returns (address) {
                  return _pendingOwner;
              }
              /**
               * @dev Starts the ownership transfer of the contract to a new account. Replaces the pending transfer if there is one.
               * Can only be called by the current owner.
               */
              function transferOwnership(address newOwner) public virtual override onlyOwner {
                  _pendingOwner = newOwner;
                  emit OwnershipTransferStarted(owner(), newOwner);
              }
              /**
               * @dev Transfers ownership of the contract to a new account (`newOwner`) and deletes any pending owner.
               * Internal function without access restriction.
               */
              function _transferOwnership(address newOwner) internal virtual override {
                  delete _pendingOwner;
                  super._transferOwnership(newOwner);
              }
              /**
               * @dev The new owner accepts the ownership transfer.
               */
              function acceptOwnership() external {
                  address sender = _msgSender();
                  require(pendingOwner() == sender, "Ownable2Step: caller is not the new owner");
                  _transferOwnership(sender);
              }
              /**
               * @dev This empty reserved space is put in place to allow future versions to add new
               * variables without shifting down storage in the inheritance chain.
               * See https://docs.openzeppelin.com/contracts/4.x/upgradeable#storage_gaps
               */
              uint256[49] private __gap;
          }
          // SPDX-License-Identifier: MIT
          // OpenZeppelin Contracts (last updated v4.7.0) (security/Pausable.sol)
          pragma solidity ^0.8.0;
          import "../utils/ContextUpgradeable.sol";
          import "../proxy/utils/Initializable.sol";
          /**
           * @dev Contract module which allows children to implement an emergency stop
           * mechanism that can be triggered by an authorized account.
           *
           * This module is used through inheritance. It will make available the
           * modifiers `whenNotPaused` and `whenPaused`, which can be applied to
           * the functions of your contract. Note that they will not be pausable by
           * simply including this module, only once the modifiers are put in place.
           */
          abstract contract PausableUpgradeable is Initializable, ContextUpgradeable {
              /**
               * @dev Emitted when the pause is triggered by `account`.
               */
              event Paused(address account);
              /**
               * @dev Emitted when the pause is lifted by `account`.
               */
              event Unpaused(address account);
              bool private _paused;
              /**
               * @dev Initializes the contract in unpaused state.
               */
              function __Pausable_init() internal onlyInitializing {
                  __Pausable_init_unchained();
              }
              function __Pausable_init_unchained() internal onlyInitializing {
                  _paused = false;
              }
              /**
               * @dev Modifier to make a function callable only when the contract is not paused.
               *
               * Requirements:
               *
               * - The contract must not be paused.
               */
              modifier whenNotPaused() {
                  _requireNotPaused();
                  _;
              }
              /**
               * @dev Modifier to make a function callable only when the contract is paused.
               *
               * Requirements:
               *
               * - The contract must be paused.
               */
              modifier whenPaused() {
                  _requirePaused();
                  _;
              }
              /**
               * @dev Returns true if the contract is paused, and false otherwise.
               */
              function paused() public view virtual returns (bool) {
                  return _paused;
              }
              /**
               * @dev Throws if the contract is paused.
               */
              function _requireNotPaused() internal view virtual {
                  require(!paused(), "Pausable: paused");
              }
              /**
               * @dev Throws if the contract is not paused.
               */
              function _requirePaused() internal view virtual {
                  require(paused(), "Pausable: not paused");
              }
              /**
               * @dev Triggers stopped state.
               *
               * Requirements:
               *
               * - The contract must not be paused.
               */
              function _pause() internal virtual whenNotPaused {
                  _paused = true;
                  emit Paused(_msgSender());
              }
              /**
               * @dev Returns to normal state.
               *
               * Requirements:
               *
               * - The contract must be paused.
               */
              function _unpause() internal virtual whenPaused {
                  _paused = false;
                  emit Unpaused(_msgSender());
              }
              /**
               * @dev This empty reserved space is put in place to allow future versions to add new
               * variables without shifting down storage in the inheritance chain.
               * See https://docs.openzeppelin.com/contracts/4.x/upgradeable#storage_gaps
               */
              uint256[49] private __gap;
          }
          // SPDX-License-Identifier: MIT
          // OpenZeppelin Contracts v4.4.1 (token/ERC20/extensions/draft-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 IERC20PermitUpgradeable {
              /**
               * @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);
          }
          // SPDX-License-Identifier: MIT
          // OpenZeppelin Contracts (last updated v4.8.0) (token/ERC20/ERC20.sol)
          pragma solidity ^0.8.0;
          import "./IERC20Upgradeable.sol";
          import "./extensions/IERC20MetadataUpgradeable.sol";
          import "../../utils/ContextUpgradeable.sol";
          import "../../proxy/utils/Initializable.sol";
          /**
           * @dev Implementation of the {IERC20} interface.
           *
           * This implementation is agnostic to the way tokens are created. This means
           * that a supply mechanism has to be added in a derived contract using {_mint}.
           * For a generic mechanism see {ERC20PresetMinterPauser}.
           *
           * TIP: For a detailed writeup see our guide
           * https://forum.openzeppelin.com/t/how-to-implement-erc20-supply-mechanisms/226[How
           * to implement supply mechanisms].
           *
           * We have followed general OpenZeppelin Contracts guidelines: functions revert
           * instead returning `false` on failure. This behavior is nonetheless
           * conventional and does not conflict with the expectations of ERC20
           * applications.
           *
           * Additionally, an {Approval} event is emitted on calls to {transferFrom}.
           * This allows applications to reconstruct the allowance for all accounts just
           * by listening to said events. Other implementations of the EIP may not emit
           * these events, as it isn't required by the specification.
           *
           * Finally, the non-standard {decreaseAllowance} and {increaseAllowance}
           * functions have been added to mitigate the well-known issues around setting
           * allowances. See {IERC20-approve}.
           */
          contract ERC20Upgradeable is Initializable, ContextUpgradeable, IERC20Upgradeable, IERC20MetadataUpgradeable {
              mapping(address => uint256) private _balances;
              mapping(address => mapping(address => uint256)) private _allowances;
              uint256 private _totalSupply;
              string private _name;
              string private _symbol;
              /**
               * @dev Sets the values for {name} and {symbol}.
               *
               * The default value of {decimals} is 18. To select a different value for
               * {decimals} you should overload it.
               *
               * All two of these values are immutable: they can only be set once during
               * construction.
               */
              function __ERC20_init(string memory name_, string memory symbol_) internal onlyInitializing {
                  __ERC20_init_unchained(name_, symbol_);
              }
              function __ERC20_init_unchained(string memory name_, string memory symbol_) internal onlyInitializing {
                  _name = name_;
                  _symbol = symbol_;
              }
              /**
               * @dev Returns the name of the token.
               */
              function name() public view virtual override returns (string memory) {
                  return _name;
              }
              /**
               * @dev Returns the symbol of the token, usually a shorter version of the
               * name.
               */
              function symbol() public view virtual override returns (string memory) {
                  return _symbol;
              }
              /**
               * @dev Returns the number of decimals used to get its user representation.
               * For example, if `decimals` equals `2`, a balance of `505` tokens should
               * be displayed to a user as `5.05` (`505 / 10 ** 2`).
               *
               * Tokens usually opt for a value of 18, imitating the relationship between
               * Ether and Wei. This is the value {ERC20} uses, unless this function is
               * overridden;
               *
               * NOTE: This information is only used for _display_ purposes: it in
               * no way affects any of the arithmetic of the contract, including
               * {IERC20-balanceOf} and {IERC20-transfer}.
               */
              function decimals() public view virtual override returns (uint8) {
                  return 18;
              }
              /**
               * @dev See {IERC20-totalSupply}.
               */
              function totalSupply() public view virtual override returns (uint256) {
                  return _totalSupply;
              }
              /**
               * @dev See {IERC20-balanceOf}.
               */
              function balanceOf(address account) public view virtual override returns (uint256) {
                  return _balances[account];
              }
              /**
               * @dev See {IERC20-transfer}.
               *
               * Requirements:
               *
               * - `to` cannot be the zero address.
               * - the caller must have a balance of at least `amount`.
               */
              function transfer(address to, uint256 amount) public virtual override returns (bool) {
                  address owner = _msgSender();
                  _transfer(owner, to, amount);
                  return true;
              }
              /**
               * @dev See {IERC20-allowance}.
               */
              function allowance(address owner, address spender) public view virtual override returns (uint256) {
                  return _allowances[owner][spender];
              }
              /**
               * @dev See {IERC20-approve}.
               *
               * NOTE: If `amount` is the maximum `uint256`, the allowance is not updated on
               * `transferFrom`. This is semantically equivalent to an infinite approval.
               *
               * Requirements:
               *
               * - `spender` cannot be the zero address.
               */
              function approve(address spender, uint256 amount) public virtual override returns (bool) {
                  address owner = _msgSender();
                  _approve(owner, spender, amount);
                  return true;
              }
              /**
               * @dev See {IERC20-transferFrom}.
               *
               * Emits an {Approval} event indicating the updated allowance. This is not
               * required by the EIP. See the note at the beginning of {ERC20}.
               *
               * NOTE: Does not update the allowance if the current allowance
               * is the maximum `uint256`.
               *
               * Requirements:
               *
               * - `from` and `to` cannot be the zero address.
               * - `from` must have a balance of at least `amount`.
               * - the caller must have allowance for ``from``'s tokens of at least
               * `amount`.
               */
              function transferFrom(
                  address from,
                  address to,
                  uint256 amount
              ) public virtual override returns (bool) {
                  address spender = _msgSender();
                  _spendAllowance(from, spender, amount);
                  _transfer(from, to, amount);
                  return true;
              }
              /**
               * @dev Atomically increases the allowance granted to `spender` by the caller.
               *
               * This is an alternative to {approve} that can be used as a mitigation for
               * problems described in {IERC20-approve}.
               *
               * Emits an {Approval} event indicating the updated allowance.
               *
               * Requirements:
               *
               * - `spender` cannot be the zero address.
               */
              function increaseAllowance(address spender, uint256 addedValue) public virtual returns (bool) {
                  address owner = _msgSender();
                  _approve(owner, spender, allowance(owner, spender) + addedValue);
                  return true;
              }
              /**
               * @dev Atomically decreases the allowance granted to `spender` by the caller.
               *
               * This is an alternative to {approve} that can be used as a mitigation for
               * problems described in {IERC20-approve}.
               *
               * Emits an {Approval} event indicating the updated allowance.
               *
               * Requirements:
               *
               * - `spender` cannot be the zero address.
               * - `spender` must have allowance for the caller of at least
               * `subtractedValue`.
               */
              function decreaseAllowance(address spender, uint256 subtractedValue) public virtual returns (bool) {
                  address owner = _msgSender();
                  uint256 currentAllowance = allowance(owner, spender);
                  require(currentAllowance >= subtractedValue, "ERC20: decreased allowance below zero");
                  unchecked {
                      _approve(owner, spender, currentAllowance - subtractedValue);
                  }
                  return true;
              }
              /**
               * @dev Moves `amount` of tokens from `from` to `to`.
               *
               * This internal function is equivalent to {transfer}, and can be used to
               * e.g. implement automatic token fees, slashing mechanisms, etc.
               *
               * Emits a {Transfer} event.
               *
               * Requirements:
               *
               * - `from` cannot be the zero address.
               * - `to` cannot be the zero address.
               * - `from` must have a balance of at least `amount`.
               */
              function _transfer(
                  address from,
                  address to,
                  uint256 amount
              ) internal virtual {
                  require(from != address(0), "ERC20: transfer from the zero address");
                  require(to != address(0), "ERC20: transfer to the zero address");
                  _beforeTokenTransfer(from, to, amount);
                  uint256 fromBalance = _balances[from];
                  require(fromBalance >= amount, "ERC20: transfer amount exceeds balance");
                  unchecked {
                      _balances[from] = fromBalance - amount;
                      // Overflow not possible: the sum of all balances is capped by totalSupply, and the sum is preserved by
                      // decrementing then incrementing.
                      _balances[to] += amount;
                  }
                  emit Transfer(from, to, amount);
                  _afterTokenTransfer(from, to, amount);
              }
              /** @dev Creates `amount` tokens and assigns them to `account`, increasing
               * the total supply.
               *
               * Emits a {Transfer} event with `from` set to the zero address.
               *
               * Requirements:
               *
               * - `account` cannot be the zero address.
               */
              function _mint(address account, uint256 amount) internal virtual {
                  require(account != address(0), "ERC20: mint to the zero address");
                  _beforeTokenTransfer(address(0), account, amount);
                  _totalSupply += amount;
                  unchecked {
                      // Overflow not possible: balance + amount is at most totalSupply + amount, which is checked above.
                      _balances[account] += amount;
                  }
                  emit Transfer(address(0), account, amount);
                  _afterTokenTransfer(address(0), account, amount);
              }
              /**
               * @dev Destroys `amount` tokens from `account`, reducing the
               * total supply.
               *
               * Emits a {Transfer} event with `to` set to the zero address.
               *
               * Requirements:
               *
               * - `account` cannot be the zero address.
               * - `account` must have at least `amount` tokens.
               */
              function _burn(address account, uint256 amount) internal virtual {
                  require(account != address(0), "ERC20: burn from the zero address");
                  _beforeTokenTransfer(account, address(0), amount);
                  uint256 accountBalance = _balances[account];
                  require(accountBalance >= amount, "ERC20: burn amount exceeds balance");
                  unchecked {
                      _balances[account] = accountBalance - amount;
                      // Overflow not possible: amount <= accountBalance <= totalSupply.
                      _totalSupply -= amount;
                  }
                  emit Transfer(account, address(0), amount);
                  _afterTokenTransfer(account, address(0), amount);
              }
              /**
               * @dev Sets `amount` as the allowance of `spender` over the `owner` s tokens.
               *
               * This internal function is equivalent to `approve`, and can be used to
               * e.g. set automatic allowances for certain subsystems, etc.
               *
               * Emits an {Approval} event.
               *
               * Requirements:
               *
               * - `owner` cannot be the zero address.
               * - `spender` cannot be the zero address.
               */
              function _approve(
                  address owner,
                  address spender,
                  uint256 amount
              ) internal virtual {
                  require(owner != address(0), "ERC20: approve from the zero address");
                  require(spender != address(0), "ERC20: approve to the zero address");
                  _allowances[owner][spender] = amount;
                  emit Approval(owner, spender, amount);
              }
              /**
               * @dev Updates `owner` s allowance for `spender` based on spent `amount`.
               *
               * Does not update the allowance amount in case of infinite allowance.
               * Revert if not enough allowance is available.
               *
               * Might emit an {Approval} event.
               */
              function _spendAllowance(
                  address owner,
                  address spender,
                  uint256 amount
              ) internal virtual {
                  uint256 currentAllowance = allowance(owner, spender);
                  if (currentAllowance != type(uint256).max) {
                      require(currentAllowance >= amount, "ERC20: insufficient allowance");
                      unchecked {
                          _approve(owner, spender, currentAllowance - amount);
                      }
                  }
              }
              /**
               * @dev Hook that is called before any transfer of tokens. This includes
               * minting and burning.
               *
               * Calling conditions:
               *
               * - when `from` and `to` are both non-zero, `amount` of ``from``'s tokens
               * will be transferred to `to`.
               * - when `from` is zero, `amount` tokens will be minted for `to`.
               * - when `to` is zero, `amount` of ``from``'s tokens will be burned.
               * - `from` and `to` are never both zero.
               *
               * To learn more about hooks, head to xref:ROOT:extending-contracts.adoc#using-hooks[Using Hooks].
               */
              function _beforeTokenTransfer(
                  address from,
                  address to,
                  uint256 amount
              ) internal virtual {}
              /**
               * @dev Hook that is called after any transfer of tokens. This includes
               * minting and burning.
               *
               * Calling conditions:
               *
               * - when `from` and `to` are both non-zero, `amount` of ``from``'s tokens
               * has been transferred to `to`.
               * - when `from` is zero, `amount` tokens have been minted for `to`.
               * - when `to` is zero, `amount` of ``from``'s tokens have been burned.
               * - `from` and `to` are never both zero.
               *
               * To learn more about hooks, head to xref:ROOT:extending-contracts.adoc#using-hooks[Using Hooks].
               */
              function _afterTokenTransfer(
                  address from,
                  address to,
                  uint256 amount
              ) internal virtual {}
              /**
               * @dev This empty reserved space is put in place to allow future versions to add new
               * variables without shifting down storage in the inheritance chain.
               * See https://docs.openzeppelin.com/contracts/4.x/upgradeable#storage_gaps
               */
              uint256[45] private __gap;
          }
          // SPDX-License-Identifier: MIT
          // OpenZeppelin Contracts (last updated v4.8.0) (utils/cryptography/ECDSA.sol)
          pragma solidity ^0.8.0;
          import "../StringsUpgradeable.sol";
          /**
           * @dev Elliptic Curve Digital Signature Algorithm (ECDSA) operations.
           *
           * These functions can be used to verify that a message was signed by the holder
           * of the private keys of a given address.
           */
          library ECDSAUpgradeable {
              enum RecoverError {
                  NoError,
                  InvalidSignature,
                  InvalidSignatureLength,
                  InvalidSignatureS,
                  InvalidSignatureV // Deprecated in v4.8
              }
              function _throwError(RecoverError error) private pure {
                  if (error == RecoverError.NoError) {
                      return; // no error: do nothing
                  } else if (error == RecoverError.InvalidSignature) {
                      revert("ECDSA: invalid signature");
                  } else if (error == RecoverError.InvalidSignatureLength) {
                      revert("ECDSA: invalid signature length");
                  } else if (error == RecoverError.InvalidSignatureS) {
                      revert("ECDSA: invalid signature 's' value");
                  }
              }
              /**
               * @dev Returns the address that signed a hashed message (`hash`) with
               * `signature` or error string. This address can then be used for verification purposes.
               *
               * The `ecrecover` EVM opcode allows for malleable (non-unique) signatures:
               * this function rejects them by requiring the `s` value to be in the lower
               * half order, and the `v` value to be either 27 or 28.
               *
               * IMPORTANT: `hash` _must_ be the result of a hash operation for the
               * verification to be secure: it is possible to craft signatures that
               * recover to arbitrary addresses for non-hashed data. A safe way to ensure
               * this is by receiving a hash of the original message (which may otherwise
               * be too long), and then calling {toEthSignedMessageHash} on it.
               *
               * Documentation for signature generation:
               * - with https://web3js.readthedocs.io/en/v1.3.4/web3-eth-accounts.html#sign[Web3.js]
               * - with https://docs.ethers.io/v5/api/signer/#Signer-signMessage[ethers]
               *
               * _Available since v4.3._
               */
              function tryRecover(bytes32 hash, bytes memory signature) internal pure returns (address, RecoverError) {
                  if (signature.length == 65) {
                      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 tryRecover(hash, v, r, s);
                  } else {
                      return (address(0), RecoverError.InvalidSignatureLength);
                  }
              }
              /**
               * @dev Returns the address that signed a hashed message (`hash`) with
               * `signature`. This address can then be used for verification purposes.
               *
               * The `ecrecover` EVM opcode allows for malleable (non-unique) signatures:
               * this function rejects them by requiring the `s` value to be in the lower
               * half order, and the `v` value to be either 27 or 28.
               *
               * IMPORTANT: `hash` _must_ be the result of a hash operation for the
               * verification to be secure: it is possible to craft signatures that
               * recover to arbitrary addresses for non-hashed data. A safe way to ensure
               * this is by receiving a hash of the original message (which may otherwise
               * be too long), and then calling {toEthSignedMessageHash} on it.
               */
              function recover(bytes32 hash, bytes memory signature) internal pure returns (address) {
                  (address recovered, RecoverError error) = tryRecover(hash, signature);
                  _throwError(error);
                  return recovered;
              }
              /**
               * @dev Overload of {ECDSA-tryRecover} that receives the `r` and `vs` short-signature fields separately.
               *
               * See https://eips.ethereum.org/EIPS/eip-2098[EIP-2098 short signatures]
               *
               * _Available since v4.3._
               */
              function tryRecover(
                  bytes32 hash,
                  bytes32 r,
                  bytes32 vs
              ) internal pure returns (address, RecoverError) {
                  bytes32 s = vs & bytes32(0x7fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff);
                  uint8 v = uint8((uint256(vs) >> 255) + 27);
                  return tryRecover(hash, v, r, s);
              }
              /**
               * @dev Overload of {ECDSA-recover} that receives the `r and `vs` short-signature fields separately.
               *
               * _Available since v4.2._
               */
              function recover(
                  bytes32 hash,
                  bytes32 r,
                  bytes32 vs
              ) internal pure returns (address) {
                  (address recovered, RecoverError error) = tryRecover(hash, r, vs);
                  _throwError(error);
                  return recovered;
              }
              /**
               * @dev Overload of {ECDSA-tryRecover} that receives the `v`,
               * `r` and `s` signature fields separately.
               *
               * _Available since v4.3._
               */
              function tryRecover(
                  bytes32 hash,
                  uint8 v,
                  bytes32 r,
                  bytes32 s
              ) internal pure returns (address, RecoverError) {
                  // 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 (301): 0 < s < secp256k1n ÷ 2 + 1, and for v in (302): 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) {
                      return (address(0), RecoverError.InvalidSignatureS);
                  }
                  // If the signature is valid (and not malleable), return the signer address
                  address signer = ecrecover(hash, v, r, s);
                  if (signer == address(0)) {
                      return (address(0), RecoverError.InvalidSignature);
                  }
                  return (signer, RecoverError.NoError);
              }
              /**
               * @dev Overload of {ECDSA-recover} that receives the `v`,
               * `r` and `s` signature fields separately.
               */
              function recover(
                  bytes32 hash,
                  uint8 v,
                  bytes32 r,
                  bytes32 s
              ) internal pure returns (address) {
                  (address recovered, RecoverError error) = tryRecover(hash, v, r, s);
                  _throwError(error);
                  return recovered;
              }
              /**
               * @dev Returns an Ethereum Signed Message, created from a `hash`. This
               * produces hash corresponding to the one signed with the
               * https://eth.wiki/json-rpc/API#eth_sign[`eth_sign`]
               * JSON-RPC method as part of EIP-191.
               *
               * See {recover}.
               */
              function toEthSignedMessageHash(bytes32 hash) internal pure returns (bytes32) {
                  // 32 is the length in bytes of hash,
                  // enforced by the type signature above
                  return keccak256(abi.encodePacked("\\x19Ethereum Signed Message:\
          32", hash));
              }
              /**
               * @dev Returns an Ethereum Signed Message, created from `s`. This
               * produces hash corresponding to the one signed with the
               * https://eth.wiki/json-rpc/API#eth_sign[`eth_sign`]
               * JSON-RPC method as part of EIP-191.
               *
               * See {recover}.
               */
              function toEthSignedMessageHash(bytes memory s) internal pure returns (bytes32) {
                  return keccak256(abi.encodePacked("\\x19Ethereum Signed Message:\
          ", StringsUpgradeable.toString(s.length), s));
              }
              /**
               * @dev Returns an Ethereum Signed Typed Data, created from a
               * `domainSeparator` and a `structHash`. This produces hash corresponding
               * to the one signed with the
               * https://eips.ethereum.org/EIPS/eip-712[`eth_signTypedData`]
               * JSON-RPC method as part of EIP-712.
               *
               * See {recover}.
               */
              function toTypedDataHash(bytes32 domainSeparator, bytes32 structHash) internal pure returns (bytes32) {
                  return keccak256(abi.encodePacked("\\x19\\x01", domainSeparator, structHash));
              }
          }
          // SPDX-License-Identifier: MIT
          // OpenZeppelin Contracts (last updated v4.8.0) (utils/cryptography/EIP712.sol)
          pragma solidity ^0.8.0;
          import "./ECDSAUpgradeable.sol";
          import "../../proxy/utils/Initializable.sol";
          /**
           * @dev https://eips.ethereum.org/EIPS/eip-712[EIP 712] is a standard for hashing and signing of typed structured data.
           *
           * The encoding specified in the EIP is very generic, and such a generic implementation in Solidity is not feasible,
           * thus this contract does not implement the encoding itself. Protocols need to implement the type-specific encoding
           * they need in their contracts using a combination of `abi.encode` and `keccak256`.
           *
           * This contract implements the EIP 712 domain separator ({_domainSeparatorV4}) that is used as part of the encoding
           * scheme, and the final step of the encoding to obtain the message digest that is then signed via ECDSA
           * ({_hashTypedDataV4}).
           *
           * The implementation of the domain separator was designed to be as efficient as possible while still properly updating
           * the chain id to protect against replay attacks on an eventual fork of the chain.
           *
           * NOTE: This contract implements the version of the encoding known as "v4", as implemented by the JSON RPC method
           * https://docs.metamask.io/guide/signing-data.html[`eth_signTypedDataV4` in MetaMask].
           *
           * _Available since v3.4._
           *
           * @custom:storage-size 52
           */
          abstract contract EIP712Upgradeable is Initializable {
              /* solhint-disable var-name-mixedcase */
              bytes32 private _HASHED_NAME;
              bytes32 private _HASHED_VERSION;
              bytes32 private constant _TYPE_HASH = keccak256("EIP712Domain(string name,string version,uint256 chainId,address verifyingContract)");
              /* solhint-enable var-name-mixedcase */
              /**
               * @dev Initializes the domain separator and parameter caches.
               *
               * The meaning of `name` and `version` is specified in
               * https://eips.ethereum.org/EIPS/eip-712#definition-of-domainseparator[EIP 712]:
               *
               * - `name`: the user readable name of the signing domain, i.e. the name of the DApp or the protocol.
               * - `version`: the current major version of the signing domain.
               *
               * NOTE: These parameters cannot be changed except through a xref:learn::upgrading-smart-contracts.adoc[smart
               * contract upgrade].
               */
              function __EIP712_init(string memory name, string memory version) internal onlyInitializing {
                  __EIP712_init_unchained(name, version);
              }
              function __EIP712_init_unchained(string memory name, string memory version) internal onlyInitializing {
                  bytes32 hashedName = keccak256(bytes(name));
                  bytes32 hashedVersion = keccak256(bytes(version));
                  _HASHED_NAME = hashedName;
                  _HASHED_VERSION = hashedVersion;
              }
              /**
               * @dev Returns the domain separator for the current chain.
               */
              function _domainSeparatorV4() internal view returns (bytes32) {
                  return _buildDomainSeparator(_TYPE_HASH, _EIP712NameHash(), _EIP712VersionHash());
              }
              function _buildDomainSeparator(
                  bytes32 typeHash,
                  bytes32 nameHash,
                  bytes32 versionHash
              ) private view returns (bytes32) {
                  return keccak256(abi.encode(typeHash, nameHash, versionHash, block.chainid, address(this)));
              }
              /**
               * @dev Given an already https://eips.ethereum.org/EIPS/eip-712#definition-of-hashstruct[hashed struct], this
               * function returns the hash of the fully encoded EIP712 message for this domain.
               *
               * This hash can be used together with {ECDSA-recover} to obtain the signer of a message. For example:
               *
               * ```solidity
               * bytes32 digest = _hashTypedDataV4(keccak256(abi.encode(
               *     keccak256("Mail(address to,string contents)"),
               *     mailTo,
               *     keccak256(bytes(mailContents))
               * )));
               * address signer = ECDSA.recover(digest, signature);
               * ```
               */
              function _hashTypedDataV4(bytes32 structHash) internal view virtual returns (bytes32) {
                  return ECDSAUpgradeable.toTypedDataHash(_domainSeparatorV4(), structHash);
              }
              /**
               * @dev The hash of the name parameter for the EIP712 domain.
               *
               * NOTE: This function reads from storage by default, but can be redefined to return a constant value if gas costs
               * are a concern.
               */
              function _EIP712NameHash() internal virtual view returns (bytes32) {
                  return _HASHED_NAME;
              }
              /**
               * @dev The hash of the version parameter for the EIP712 domain.
               *
               * NOTE: This function reads from storage by default, but can be redefined to return a constant value if gas costs
               * are a concern.
               */
              function _EIP712VersionHash() internal virtual view returns (bytes32) {
                  return _HASHED_VERSION;
              }
              /**
               * @dev This empty reserved space is put in place to allow future versions to add new
               * variables without shifting down storage in the inheritance chain.
               * See https://docs.openzeppelin.com/contracts/4.x/upgradeable#storage_gaps
               */
              uint256[50] private __gap;
          }
          // SPDX-License-Identifier: MIT
          // OpenZeppelin Contracts v4.4.1 (utils/Counters.sol)
          pragma solidity ^0.8.0;
          /**
           * @title Counters
           * @author Matt Condon (@shrugs)
           * @dev Provides counters that can only be incremented, decremented or reset. This can be used e.g. to track the number
           * of elements in a mapping, issuing ERC721 ids, or counting request ids.
           *
           * Include with `using Counters for Counters.Counter;`
           */
          library CountersUpgradeable {
              struct Counter {
                  // This variable should never be directly accessed by users of the library: interactions must be restricted to
                  // the library's function. As of Solidity v0.5.2, this cannot be enforced, though there is a proposal to add
                  // this feature: see https://github.com/ethereum/solidity/issues/4637
                  uint256 _value; // default: 0
              }
              function current(Counter storage counter) internal view returns (uint256) {
                  return counter._value;
              }
              function increment(Counter storage counter) internal {
                  unchecked {
                      counter._value += 1;
                  }
              }
              function decrement(Counter storage counter) internal {
                  uint256 value = counter._value;
                  require(value > 0, "Counter: decrement overflow");
                  unchecked {
                      counter._value = value - 1;
                  }
              }
              function reset(Counter storage counter) internal {
                  counter._value = 0;
              }
          }
          // SPDX-License-Identifier: MIT
          // OpenZeppelin Contracts (last updated v4.8.1) (proxy/utils/Initializable.sol)
          pragma solidity ^0.8.2;
          import "../../utils/AddressUpgradeable.sol";
          /**
           * @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 proxied contracts do not make use of 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.
           *
           * The initialization functions use a version number. Once a version number is used, it is consumed and cannot be
           * reused. This mechanism prevents re-execution of each "step" but allows the creation of new initialization steps in
           * case an upgrade adds a module that needs to be initialized.
           *
           * For example:
           *
           * [.hljs-theme-light.nopadding]
           * ```
           * contract MyToken is ERC20Upgradeable {
           *     function initialize() initializer public {
           *         __ERC20_init("MyToken", "MTK");
           *     }
           * }
           * contract MyTokenV2 is MyToken, ERC20PermitUpgradeable {
           *     function initializeV2() reinitializer(2) public {
           *         __ERC20Permit_init("MyToken");
           *     }
           * }
           * ```
           *
           * 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 prevent the implementation contract from being used, you should invoke
           * the {_disableInitializers} function in the constructor to automatically lock it when it is deployed:
           *
           * [.hljs-theme-light.nopadding]
           * ```
           * /// @custom:oz-upgrades-unsafe-allow constructor
           * constructor() {
           *     _disableInitializers();
           * }
           * ```
           * ====
           */
          abstract contract Initializable {
              /**
               * @dev Indicates that the contract has been initialized.
               * @custom:oz-retyped-from bool
               */
              uint8 private _initialized;
              /**
               * @dev Indicates that the contract is in the process of being initialized.
               */
              bool private _initializing;
              /**
               * @dev Triggered when the contract has been initialized or reinitialized.
               */
              event Initialized(uint8 version);
              /**
               * @dev A modifier that defines a protected initializer function that can be invoked at most once. In its scope,
               * `onlyInitializing` functions can be used to initialize parent contracts.
               *
               * Similar to `reinitializer(1)`, except that functions marked with `initializer` can be nested in the context of a
               * constructor.
               *
               * Emits an {Initialized} event.
               */
              modifier initializer() {
                  bool isTopLevelCall = !_initializing;
                  require(
                      (isTopLevelCall && _initialized < 1) || (!AddressUpgradeable.isContract(address(this)) && _initialized == 1),
                      "Initializable: contract is already initialized"
                  );
                  _initialized = 1;
                  if (isTopLevelCall) {
                      _initializing = true;
                  }
                  _;
                  if (isTopLevelCall) {
                      _initializing = false;
                      emit Initialized(1);
                  }
              }
              /**
               * @dev A modifier that defines a protected reinitializer function that can be invoked at most once, and only if the
               * contract hasn't been initialized to a greater version before. In its scope, `onlyInitializing` functions can be
               * used to initialize parent contracts.
               *
               * A reinitializer may be used after the original initialization step. This is essential to configure modules that
               * are added through upgrades and that require initialization.
               *
               * When `version` is 1, this modifier is similar to `initializer`, except that functions marked with `reinitializer`
               * cannot be nested. If one is invoked in the context of another, execution will revert.
               *
               * Note that versions can jump in increments greater than 1; this implies that if multiple reinitializers coexist in
               * a contract, executing them in the right order is up to the developer or operator.
               *
               * WARNING: setting the version to 255 will prevent any future reinitialization.
               *
               * Emits an {Initialized} event.
               */
              modifier reinitializer(uint8 version) {
                  require(!_initializing && _initialized < version, "Initializable: contract is already initialized");
                  _initialized = version;
                  _initializing = true;
                  _;
                  _initializing = false;
                  emit Initialized(version);
              }
              /**
               * @dev Modifier to protect an initialization function so that it can only be invoked by functions with the
               * {initializer} and {reinitializer} modifiers, directly or indirectly.
               */
              modifier onlyInitializing() {
                  require(_initializing, "Initializable: contract is not initializing");
                  _;
              }
              /**
               * @dev Locks the contract, preventing any future reinitialization. This cannot be part of an initializer call.
               * Calling this in the constructor of a contract will prevent that contract from being initialized or reinitialized
               * to any version. It is recommended to use this to lock implementation contracts that are designed to be called
               * through proxies.
               *
               * Emits an {Initialized} event the first time it is successfully executed.
               */
              function _disableInitializers() internal virtual {
                  require(!_initializing, "Initializable: contract is initializing");
                  if (_initialized < type(uint8).max) {
                      _initialized = type(uint8).max;
                      emit Initialized(type(uint8).max);
                  }
              }
              /**
               * @dev Returns the highest version that has been initialized. See {reinitializer}.
               */
              function _getInitializedVersion() internal view returns (uint8) {
                  return _initialized;
              }
              /**
               * @dev Returns `true` if the contract is currently initializing. See {onlyInitializing}.
               */
              function _isInitializing() internal view returns (bool) {
                  return _initializing;
              }
          }
          // SPDX-License-Identifier: MIT
          // OpenZeppelin Contracts (last updated v4.7.0) (access/Ownable.sol)
          pragma solidity ^0.8.0;
          import "../utils/ContextUpgradeable.sol";
          import "../proxy/utils/Initializable.sol";
          /**
           * @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 {
                  __Ownable_init_unchained();
              }
              function __Ownable_init_unchained() internal onlyInitializing {
                  _transferOwnership(_msgSender());
              }
              /**
               * @dev Throws if called by any account other than the owner.
               */
              modifier onlyOwner() {
                  _checkOwner();
                  _;
              }
              /**
               * @dev Returns the address of the current owner.
               */
              function owner() public view virtual returns (address) {
                  return _owner;
              }
              /**
               * @dev Throws if the sender is not the owner.
               */
              function _checkOwner() internal view virtual {
                  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);
              }
              /**
               * @dev This empty reserved space is put in place to allow future versions to add new
               * variables without shifting down storage in the inheritance chain.
               * See https://docs.openzeppelin.com/contracts/4.x/upgradeable#storage_gaps
               */
              uint256[49] private __gap;
          }
          // SPDX-License-Identifier: MIT
          // OpenZeppelin Contracts v4.4.1 (utils/Context.sol)
          pragma solidity ^0.8.0;
          import "../proxy/utils/Initializable.sol";
          /**
           * @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 {
              }
              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;
              }
              /**
               * @dev This empty reserved space is put in place to allow future versions to add new
               * variables without shifting down storage in the inheritance chain.
               * See https://docs.openzeppelin.com/contracts/4.x/upgradeable#storage_gaps
               */
              uint256[50] private __gap;
          }
          // SPDX-License-Identifier: MIT
          // OpenZeppelin Contracts (last updated v4.6.0) (token/ERC20/IERC20.sol)
          pragma solidity ^0.8.0;
          /**
           * @dev Interface of the ERC20 standard as defined in the EIP.
           */
          interface IERC20Upgradeable {
              /**
               * @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);
          }
          // SPDX-License-Identifier: MIT
          // OpenZeppelin Contracts v4.4.1 (token/ERC20/extensions/IERC20Metadata.sol)
          pragma solidity ^0.8.0;
          import "../IERC20Upgradeable.sol";
          /**
           * @dev Interface for the optional metadata functions from the ERC20 standard.
           *
           * _Available since v4.1._
           */
          interface IERC20MetadataUpgradeable is IERC20Upgradeable {
              /**
               * @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 v4.8.0) (utils/Strings.sol)
          pragma solidity ^0.8.0;
          import "./math/MathUpgradeable.sol";
          /**
           * @dev String operations.
           */
          library StringsUpgradeable {
              bytes16 private constant _SYMBOLS = "0123456789abcdef";
              uint8 private constant _ADDRESS_LENGTH = 20;
              /**
               * @dev Converts a `uint256` to its ASCII `string` decimal representation.
               */
              function toString(uint256 value) internal pure returns (string memory) {
                  unchecked {
                      uint256 length = MathUpgradeable.log10(value) + 1;
                      string memory buffer = new string(length);
                      uint256 ptr;
                      /// @solidity memory-safe-assembly
                      assembly {
                          ptr := add(buffer, add(32, length))
                      }
                      while (true) {
                          ptr--;
                          /// @solidity memory-safe-assembly
                          assembly {
                              mstore8(ptr, byte(mod(value, 10), _SYMBOLS))
                          }
                          value /= 10;
                          if (value == 0) break;
                      }
                      return buffer;
                  }
              }
              /**
               * @dev Converts a `uint256` to its ASCII `string` hexadecimal representation.
               */
              function toHexString(uint256 value) internal pure returns (string memory) {
                  unchecked {
                      return toHexString(value, MathUpgradeable.log256(value) + 1);
                  }
              }
              /**
               * @dev Converts a `uint256` to its ASCII `string` hexadecimal representation with fixed length.
               */
              function toHexString(uint256 value, uint256 length) internal pure returns (string memory) {
                  bytes memory buffer = new bytes(2 * length + 2);
                  buffer[0] = "0";
                  buffer[1] = "x";
                  for (uint256 i = 2 * length + 1; i > 1; --i) {
                      buffer[i] = _SYMBOLS[value & 0xf];
                      value >>= 4;
                  }
                  require(value == 0, "Strings: hex length insufficient");
                  return string(buffer);
              }
              /**
               * @dev Converts an `address` with fixed length of 20 bytes to its not checksummed ASCII `string` hexadecimal representation.
               */
              function toHexString(address addr) internal pure returns (string memory) {
                  return toHexString(uint256(uint160(addr)), _ADDRESS_LENGTH);
              }
          }
          // SPDX-License-Identifier: MIT
          // OpenZeppelin Contracts (last updated v4.8.0) (utils/Address.sol)
          pragma solidity ^0.8.1;
          /**
           * @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
               * ====
               *
               * [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://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 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 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 v4.8.0) (utils/math/Math.sol)
          pragma solidity ^0.8.0;
          /**
           * @dev Standard math utilities missing in the Solidity language.
           */
          library MathUpgradeable {
              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) {
                          return prod0 / denominator;
                      }
                      // Make sure the result is less than 2^256. Also prevents denominator == 0.
                      require(denominator > prod1);
                      ///////////////////////////////////////////////
                      // 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 10, 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 * 8) < value ? 1 : 0);
                  }
              }
          }