ETH Price: $2,517.68 (+0.63%)

Transaction Decoder

Block:
22818724 at Jun-30-2025 05:27:47 PM +UTC
Transaction Fee:
0.000315064 ETH $0.79
Gas Used:
78,766 Gas / 4 Gwei

Emitted Events:

177 TransparentUpgradeableProxy.0xddf252ad1be2c89b69c2b068fc378daa952ba7f163c4a11628f55a4df523b3ef( 0xddf252ad1be2c89b69c2b068fc378daa952ba7f163c4a11628f55a4df523b3ef, 0x0000000000000000000000004b63f8e63fecc19039a7eaf8ffcfe817fc806e63, 0x000000000000000000000000e99fe1d334b6a74d00adf4522e5051361de2bf40, 0000000000000000000000000000000000000000000000000de0b6b3a7640000 )

Account State Difference:

  Address   Before After State Difference Code
0x4b63F8e6...7fC806e63
0x8d0D000E...476f08B0d
(beaverbuild)
10.463028169443525363 Eth10.463099140260946455 Eth0.000070970817421092
0xe99fE1d3...61de2BF40
0.076520083529658757 Eth
Nonce: 2430
0.076205019529658757 Eth
Nonce: 2431
0.000315064

Execution Trace

0x4b63f8e63fecc19039a7eaf8ffcfe817fc806e63.5ecb16cd( )
  • TransparentUpgradeableProxy.70a08231( )
    • Stablecoin.balanceOf( account=0x4b63F8e63FECC19039A7eAF8fFcFe817fC806e63 ) => ( 1000000000000000000 )
    • TransparentUpgradeableProxy.a9059cbb( )
      • Stablecoin.transfer( to=0xe99fE1d334B6a74D00aDf4522e5051361de2BF40, amount=1000000000000000000 ) => ( True )
        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);
                }
            }
        }