UnauthorizedCallContext

UpgradeFailed

implementation

Upgraded

proxiableUUID

newImplementation

upgradeTo

data

upgradeToAndCall

// SPDX-License-Identifier: MIT
pragma solidity ^0.8.4;

/// @notice UUPS proxy mixin.
/// @author Solady (https://github.com/vectorized/solady/blob/main/src/utils/UUPSUpgradeable.sol)
/// @author Modified from OpenZeppelin
/// (https://github.com/OpenZeppelin/openzeppelin-contracts/blob/master/contracts/proxy/utils/UUPSUpgradeable.sol)
///
/// Note:
/// - This implementation is intended to be used with ERC1967 proxies.
/// See: `LibClone.deployERC1967` and related functions.
/// - This implementation is NOT compatible with legacy OpenZeppelin proxies
/// which do not store the implementation at `_ERC1967_IMPLEMENTATION_SLOT`.
abstract contract UUPSUpgradeable {
    /*´:°•.°+.*•´.*:˚.°*.˚•´.°:°•.°•.*•´.*:˚.°*.˚•´.°:°•.°+.*•´.*:*/
    /*                       CUSTOM ERRORS                        */
    /*.•°:°.´+˚.*°.˚:*.´•*.+°.•°:´*.´•*.•°.•°:°.´:•˚°.*°.˚:*.´+°.•*/

    /// @dev The upgrade failed.
    error UpgradeFailed();

    /// @dev The call is from an unauthorized call context.
    error UnauthorizedCallContext();

    /*´:°•.°+.*•´.*:˚.°*.˚•´.°:°•.°•.*•´.*:˚.°*.˚•´.°:°•.°+.*•´.*:*/
    /*                         IMMUTABLES                         */
    /*.•°:°.´+˚.*°.˚:*.´•*.+°.•°:´*.´•*.•°.•°:°.´:•˚°.*°.˚:*.´+°.•*/

    /// @dev For checking if the context is a delegate call.
    uint256 private immutable __self = uint256(uint160(address(this)));

    /*´:°•.°+.*•´.*:˚.°*.˚•´.°:°•.°•.*•´.*:˚.°*.˚•´.°:°•.°+.*•´.*:*/
    /*                           EVENTS                           */
    /*.•°:°.´+˚.*°.˚:*.´•*.+°.•°:´*.´•*.•°.•°:°.´:•˚°.*°.˚:*.´+°.•*/

    /// @dev Emitted when the proxy's implementation is upgraded.
    event Upgraded(address indexed implementation);

    /// @dev `keccak256(bytes("Upgraded(address)"))`.
    uint256 private constant _UPGRADED_EVENT_SIGNATURE =
        0xbc7cd75a20ee27fd9adebab32041f755214dbc6bffa90cc0225b39da2e5c2d3b;

    /*´:°•.°+.*•´.*:˚.°*.˚•´.°:°•.°•.*•´.*:˚.°*.˚•´.°:°•.°+.*•´.*:*/
    /*                          STORAGE                           */
    /*.•°:°.´+˚.*°.˚:*.´•*.+°.•°:´*.´•*.•°.•°:°.´:•˚°.*°.˚:*.´+°.•*/

    /// @dev The ERC-1967 storage slot for the implementation in the proxy.
    /// `uint256(keccak256("eip1967.proxy.implementation")) - 1`.
    bytes32 internal constant _ERC1967_IMPLEMENTATION_SLOT =
        0x360894a13ba1a3210667c828492db98dca3e2076cc3735a920a3ca505d382bbc;

    /*´:°•.°+.*•´.*:˚.°*.˚•´.°:°•.°•.*•´.*:˚.°*.˚•´.°:°•.°+.*•´.*:*/
    /*                      UUPS OPERATIONS                       */
    /*.•°:°.´+˚.*°.˚:*.´•*.+°.•°:´*.´•*.•°.•°:°.´:•˚°.*°.˚:*.´+°.•*/

    /// @dev Please override this function to check if `msg.sender` is authorized
    /// to upgrade the proxy to `newImplementation`, reverting if not.
    /// ```
    ///     function _authorizeUpgrade(address) internal override onlyOwner {}
    /// ```
    function _authorizeUpgrade(address newImplementation) internal virtual;

    /// @dev Returns the storage slot used by the implementation,
    /// as specified in [ERC1822](https://eips.ethereum.org/EIPS/eip-1822).
    ///
    /// Note: The `notDelegated` modifier prevents accidental upgrades to
    /// an implementation that is a proxy contract.
    function proxiableUUID() public view virtual notDelegated returns (bytes32) {
        // This function must always return `_ERC1967_IMPLEMENTATION_SLOT` to comply with ERC1967.
        return _ERC1967_IMPLEMENTATION_SLOT;
    }

    /// @dev Upgrades the proxy's implementation to `newImplementation`.
    /// Emits a {Upgraded} event.
    ///
    /// Note: The `onlyProxy` modifier prevents accidental calling on the implementation.
    function upgradeTo(address newImplementation) public payable virtual onlyProxy {
        _authorizeUpgrade(newImplementation);
        /// @solidity memory-safe-assembly
        assembly {
            newImplementation := shr(96, shl(96, newImplementation)) // Clears upper 96 bits.
            mstore(0x01, 0x52d1902d) // `proxiableUUID()`.
            let s := _ERC1967_IMPLEMENTATION_SLOT
            // Check if `newImplementation` implements `proxiableUUID` correctly.
            if iszero(eq(mload(staticcall(gas(), newImplementation, 0x1d, 0x04, 0x01, 0x20)), s)) {
                mstore(0x01, 0x55299b49) // `UpgradeFailed()`.
                revert(0x1d, 0x04)
            }
            // Emit the {Upgraded} event.
            log2(codesize(), 0x00, _UPGRADED_EVENT_SIGNATURE, newImplementation)
            sstore(s, newImplementation) // Updates the implementation.
        }
    }

    /// @dev Upgrades the proxy's implementation to `newImplementation`.
    /// Emits a {Upgraded} event.
    ///
    /// Note: This function calls `upgradeTo` internally,
    /// followed by a delegatecall to `newImplementation`.
    function upgradeToAndCall(address newImplementation, bytes calldata data)
        public
        payable
        virtual
    {
        upgradeTo(newImplementation);
        /// @solidity memory-safe-assembly
        assembly {
            // Forwards the `data` to `newImplementation` via delegatecall.
            let m := mload(0x40)
            calldatacopy(m, data.offset, data.length)
            if iszero(delegatecall(gas(), newImplementation, m, data.length, codesize(), 0x00)) {
                // Bubble up the revert if the call reverts.
                returndatacopy(m, 0x00, returndatasize())
                revert(m, returndatasize())
            }
        }
    }

    /// @dev Requires that the execution is performed through a proxy.
    modifier onlyProxy() {
        uint256 s = __self;
        /// @solidity memory-safe-assembly
        assembly {
            // To enable use cases with an immutable default implementation in the bytecode,
            // (see: ERC6551Proxy), we don't require that the proxy address must match the
            // value stored in the implementation slot, which may not be initialized.
            if eq(s, address()) {
                mstore(0x00, 0x9f03a026) // `UnauthorizedCallContext()`.
                revert(0x1c, 0x04)
            }
        }
        _;
    }

    /// @dev Requires that the execution is NOT performed via delegatecall.
    /// This is the opposite of `onlyProxy`.
    modifier notDelegated() {
        uint256 s = __self;
        /// @solidity memory-safe-assembly
        assembly {
            if iszero(eq(s, address())) {
                mstore(0x00, 0x9f03a026) // `UnauthorizedCallContext()`.
                revert(0x1c, 0x04)
            }
        }
        _;
    }
}


This contract is an implementation of the UUPS (Universal Upgradeable Proxy Standard) pattern. It allows for the upgrade of the proxy's implementation and enforces authorization checks. It also includes modifiers to ensure that the execution is performed through the proxy and not via delegatecall.

// SPDX-License-Identifier: MIT
pragma solidity ^0.8.4;

import "./accounts/Receiver.sol";
import "./accounts/ERC4337.sol";
import "./accounts/ERC4337Factory.sol";
import "./accounts/ERC6551.sol";
import "./accounts/ERC6551Proxy.sol";
import "./auth/Ownable.sol";
import "./auth/OwnableRoles.sol";
import "./tokens/WETH.sol";
import "./tokens/ERC20.sol";
import "./tokens/ERC4626.sol";
import "./tokens/ERC721.sol";
import "./tokens/ERC2981.sol";
import "./tokens/ERC1155.sol";
import "./tokens/ERC6909.sol";
import "./utils/Base64.sol";
import "./utils/CREATE3.sol";
import "./utils/Clone.sol";
import "./utils/DateTimeLib.sol";
import "./utils/DynamicBufferLib.sol";
import "./utils/ECDSA.sol";
import "./utils/EIP712.sol";
import "./utils/ERC1967Factory.sol";
import "./utils/ERC1967FactoryConstants.sol";
import "./utils/FixedPointMathLib.sol";
import "./utils/JSONParserLib.sol";
import "./utils/LibBit.sol";
import "./utils/LibBitmap.sol";
import "./utils/LibMap.sol";
import "./utils/LibClone.sol";
import "./utils/LibPRNG.sol";
import "./utils/LibRLP.sol";
import "./utils/LibSort.sol";
import "./utils/LibString.sol";
import "./utils/LibZip.sol";
import "./utils/MerkleProofLib.sol";
import "./utils/MetadataReaderLib.sol";
import "./utils/MinHeapLib.sol";
import "./utils/Multicallable.sol";
import "./utils/RedBlackTreeLib.sol";
import "./utils/SSTORE2.sol";
import "./utils/SafeCastLib.sol";
import "./utils/SafeTransferLib.sol";
import "./utils/SignatureCheckerLib.sol";
import "./utils/UUPSUpgradeable.sol";

library Milady {
    string internal constant WEBSITE = "https://miladymaker.net";

    address internal constant CONTRACT = 0x5Af0D9827E0c53E4799BB226655A1de152A425a5;
}


// SPDX-License-Identifier: MIT
pragma solidity ^0.8.4;

import {Receiver} from "./Receiver.sol";
import {EIP712} from "../utils/EIP712.sol";
import {LibZip} from "../utils/LibZip.sol";
import {Ownable} from "../auth/Ownable.sol";
import {UUPSUpgradeable} from "../utils/UUPSUpgradeable.sol";
import {SignatureCheckerLib} from "../utils/SignatureCheckerLib.sol";

/// @notice Simple ERC4337 account implementation.
/// @author Solady (https://github.com/vectorized/solady/blob/main/src/accounts/ERC4337.sol)
/// @author Infinitism (https://github.com/eth-infinitism/account-abstraction/blob/develop/contracts/samples/SimpleAccount.sol)
///
/// Recommended usage:
/// 1. Deploy the ERC4337 as an implementation contract, and verify it on Etherscan.
/// 2. Create a factory that uses `LibClone.deployERC1967` or
///    `LibClone.deployDeterministicERC1967` to clone the implementation.
///    See: `ERC4337Factory.sol`.
abstract contract ERC4337 is Ownable, UUPSUpgradeable, Receiver, EIP712 {
    /*´:°•.°+.*•´.*:˚.°*.˚•´.°:°•.°•.*•´.*:˚.°*.˚•´.°:°•.°+.*•´.*:*/
    /*                         CONSTANTS                          */
    /*.•°:°.´+˚.*°.˚:*.´•*.+°.•°:´*.´•*.•°.•°:°.´:•˚°.*°.˚:*.´+°.•*/

    /// @dev For EIP-712 signature digest calculation for the `isValidSignature` function
    /// `keccak256("ERC1271(bytes32 hash)")`.
    bytes32 internal constant _ERC1271_TYPEHASH =
        0xa8a2dd35d9cd06a6840564d73aaec58914552a61a261b195d690488142842417;

    /*´:°•.°+.*•´.*:˚.°*.˚•´.°:°•.°•.*•´.*:˚.°*.˚•´.°:°•.°+.*•´.*:*/
    /*                          STRUCTS                           */
    /*.•°:°.´+˚.*°.˚:*.´•*.+°.•°:´*.´•*.•°.•°:°.´:•˚°.*°.˚:*.´+°.•*/

    /// @dev The ERC4337 user operation (userOp) struct.
    struct UserOperation {
        address sender;
        uint256 nonce;
        bytes initCode;
        bytes callData;
        uint256 callGasLimit;
        uint256 verificationGasLimit;
        uint256 preVerificationGas;
        uint256 maxFeePerGas;
        uint256 maxPriorityFeePerGas;
        bytes paymasterAndData;
        bytes signature;
    }

    /// @dev Call struct for the `executeBatch` function.
    struct Call {
        address target;
        uint256 value;
        bytes data;
    }

    /*´:°•.°+.*•´.*:˚.°*.˚•´.°:°•.°•.*•´.*:˚.°*.˚•´.°:°•.°+.*•´.*:*/
    /*                        INITIALIZER                         */
    /*.•°:°.´+˚.*°.˚:*.´•*.+°.•°:´*.´•*.•°.•°:°.´:•˚°.*°.˚:*.´+°.•*/

    /// @dev Initializes the account with the owner. Can only be called once.
    function initialize(address newOwner) public payable virtual {
        _initializeOwner(newOwner);
    }

    /*´:°•.°+.*•´.*:˚.°*.˚•´.°:°•.°•.*•´.*:˚.°*.˚•´.°:°•.°+.*•´.*:*/
    /*                        ENTRY POINT                         */
    /*.•°:°.´+˚.*°.˚:*.´•*.+°.•°:´*.´•*.•°.•°:°.´:•˚°.*°.˚:*.´+°.•*/

    /// @dev Returns the canonical ERC4337 EntryPoint contract.
    /// Override this function to return a different EntryPoint.
    function entryPoint() public view virtual returns (address) {
        return 0x5FF137D4b0FDCD49DcA30c7CF57E578a026d2789;
    }

    /*´:°•.°+.*•´.*:˚.°*.˚•´.°:°•.°•.*•´.*:˚.°*.˚•´.°:°•.°+.*•´.*:*/
    /*                   VALIDATION OPERATIONS                    */
    /*.•°:°.´+˚.*°.˚:*.´•*.+°.•°:´*.´•*.•°.•°:°.´:•˚°.*°.˚:*.´+°.•*/

    /// @dev Validates the signature and nonce.
    /// The EntryPoint will make the call to the recipient only if
    /// this validation call returns successfully.
    ///
    /// Signature failure should be reported by returning 1 (see: `_validateSignature`).
    /// This allows making a "simulation call" without a valid signature.
    /// Other failures (e.g. nonce mismatch, or invalid signature format)
    /// should still revert to signal failure.
    function validateUserOp(
        UserOperation calldata userOp,
        bytes32 userOpHash,
        uint256 missingAccountFunds
    )
        public
        payable
        virtual
        onlyEntryPoint
        payPrefund(missingAccountFunds)
        returns (uint256 validationData)
    {
        validationData = _validateSignature(userOp, userOpHash);
        _validateNonce(userOp.nonce);
    }

    /// @dev Validates the signature with ERC1271 return,
    /// so that this account can also be used as a signer.
    function isValidSignature(bytes32 hash, bytes calldata signature)
        public
        view
        virtual
        returns (bytes4 result)
    {
        bool success = SignatureCheckerLib.isValidSignatureNowCalldata(
            owner(), _computeIsValidSignatureDigest(hash), signature
        );
        /// @solidity memory-safe-assembly
        assembly {
            // `success ? bytes4(keccak256("isValidSignature(bytes32,bytes)")) : 0xffffffff`.
            result := shl(224, or(0x1626ba7e, sub(0, iszero(success))))
        }
    }

    /// @dev Returns the EIP-712 digest for `ERC1271(bytes hash)`.
    function _computeIsValidSignatureDigest(bytes32 hash)
        internal
        view
        virtual
        returns (bytes32 result)
    {
        /// @solidity memory-safe-assembly
        assembly {
            mstore(0x00, _ERC1271_TYPEHASH)
            mstore(0x20, hash)
            result := keccak256(0x00, 0x40)
        }
        result = _hashTypedData(result);
    }

    /// @dev Validate `userOp.signature` for the `userOpHash`.
    function _validateSignature(UserOperation calldata userOp, bytes32 userOpHash)
        internal
        virtual
        returns (uint256 validationData)
    {
        bool success = SignatureCheckerLib.isValidSignatureNowCalldata(
            owner(), SignatureCheckerLib.toEthSignedMessageHash(userOpHash), userOp.signature
        );
        /// @solidity memory-safe-assembly
        assembly {
            // Returns 0 if the recovered address matches the owner.
            // Else returns 1, which is equivalent to:
            // `(success ? 0 : 1) | (uint256(validUntil) << 160) | (uint256(validAfter) << (160 + 48))`
            // where `validUntil` is 0 (indefinite) and `validAfter` is 0.
            validationData := iszero(success)
        }
    }

    /// @dev Override to validate the nonce of the userOp.
    /// This method may validate the nonce requirement of this account.
    /// e.g.
    /// To limit the nonce to use sequenced userOps only (no "out of order" userOps):
    ///      `require(nonce < type(uint64).max)`
    /// For a hypothetical account that *requires* the nonce to be out-of-order:
    ///      `require(nonce & type(uint64).max == 0)`
    ///
    /// The actual nonce uniqueness is managed by the EntryPoint, and thus no other
    /// action is needed by the account itself.
    function _validateNonce(uint256 nonce) internal virtual {
        nonce = nonce; // Silence unused variable warning.
    }

    /// @dev Sends to the EntryPoint (i.e. `msg.sender`) the missing funds for this transaction.
    /// Subclass MAY override this modifier for better funds management.
    /// (e.g. send to the EntryPoint more than the minimum required, so that in future transactions
    /// it will not be required to send again)
    ///
    /// `missingAccountFunds` is the minimum value this modifier should send the EntryPoint,
    /// which MAY be zero, in case there is enough deposit, or the userOp has a paymaster.
    modifier payPrefund(uint256 missingAccountFunds) virtual {
        _;
        /// @solidity memory-safe-assembly
        assembly {
            if missingAccountFunds {
                // Ignore failure (it's EntryPoint's job to verify, not the account's).
                pop(call(gas(), caller(), missingAccountFunds, codesize(), 0x00, codesize(), 0x00))
            }
        }
    }

    /// @dev Requires that the caller is the EntryPoint.
    modifier onlyEntryPoint() virtual {
        if (msg.sender != entryPoint()) revert Unauthorized();
        _;
    }

    /*´:°•.°+.*•´.*:˚.°*.˚•´.°:°•.°•.*•´.*:˚.°*.˚•´.°:°•.°+.*•´.*:*/
    /*                    EXECUTION OPERATIONS                    */
    /*.•°:°.´+˚.*°.˚:*.´•*.+°.•°:´*.´•*.•°.•°:°.´:•˚°.*°.˚:*.´+°.•*/

    /// @dev Execute a call from this account.
    function execute(address target, uint256 value, bytes calldata data)
        public
        payable
        virtual
        onlyEntryPointOrOwner
        returns (bytes memory result)
    {
        /// @solidity memory-safe-assembly
        assembly {
            result := mload(0x40)
            calldatacopy(result, data.offset, data.length)
            if iszero(call(gas(), target, value, result, data.length, codesize(), 0x00)) {
                // Bubble up the revert if the call reverts.
                returndatacopy(result, 0x00, returndatasize())
                revert(result, returndatasize())
            }
            mstore(result, returndatasize()) // Store the length.
            let o := add(result, 0x20)
            returndatacopy(o, 0x00, returndatasize()) // Copy the returndata.
            mstore(0x40, add(o, returndatasize())) // Allocate the memory.
        }
    }

    /// @dev Execute a sequence of calls from this account.
    function executeBatch(Call[] calldata calls)
        public
        payable
        virtual
        onlyEntryPointOrOwner
        returns (bytes[] memory results)
    {
        /// @solidity memory-safe-assembly
        assembly {
            results := mload(0x40)
            mstore(results, calls.length)
            let r := add(0x20, results)
            let m := add(r, shl(5, calls.length))
            calldatacopy(r, calls.offset, shl(5, calls.length))
            for { let end := m } iszero(eq(r, end)) { r := add(r, 0x20) } {
                let e := add(calls.offset, mload(r))
                let o := add(e, calldataload(add(e, 0x40)))
                calldatacopy(m, add(o, 0x20), calldataload(o))
                // forgefmt: disable-next-item
                if iszero(call(gas(), calldataload(e), calldataload(add(e, 0x20)),
                    m, calldataload(o), codesize(), 0x00)) {
                    // Bubble up the revert if the call reverts.
                    returndatacopy(m, 0x00, returndatasize())
                    revert(m, returndatasize())
                }
                mstore(r, m) // Append `m` into `results`.
                mstore(m, returndatasize()) // Store the length,
                let p := add(m, 0x20)
                returndatacopy(p, 0x00, returndatasize()) // and copy the returndata.
                m := add(p, returndatasize()) // Advance `m`.
            }
            mstore(0x40, m) // Allocate the memory.
        }
    }

    /// @dev Execute a delegatecall with `delegate` on this account.
    function delegateExecute(address delegate, bytes calldata data)
        public
        payable
        virtual
        onlyEntryPointOrOwner
        delegateExecuteGuard
        returns (bytes memory result)
    {
        /// @solidity memory-safe-assembly
        assembly {
            result := mload(0x40)
            calldatacopy(result, data.offset, data.length)
            // Forwards the `data` to `delegate` via delegatecall.
            if iszero(delegatecall(gas(), delegate, result, data.length, codesize(), 0x00)) {
                // Bubble up the revert if the call reverts.
                returndatacopy(result, 0x00, returndatasize())
                revert(result, returndatasize())
            }
            mstore(result, returndatasize()) // Store the length.
            let o := add(result, 0x20)
            returndatacopy(o, 0x00, returndatasize()) // Copy the returndata.
            mstore(0x40, add(o, returndatasize())) // Allocate the memory.
        }
    }

    /// @dev Ensures that the owner and implementation slots' values aren't changed.
    /// You can override this modifier to ensure the sanctity of other storage slots too.
    modifier delegateExecuteGuard() virtual {
        bytes32 ownerSlotValue;
        bytes32 implementationSlotValue;
        /// @solidity memory-safe-assembly
        assembly {
            implementationSlotValue := sload(_ERC1967_IMPLEMENTATION_SLOT)
            ownerSlotValue := sload(_OWNER_SLOT)
        }
        _;
        /// @solidity memory-safe-assembly
        assembly {
            if iszero(
                and(
                    eq(implementationSlotValue, sload(_ERC1967_IMPLEMENTATION_SLOT)),
                    eq(ownerSlotValue, sload(_OWNER_SLOT))
                )
            ) { revert(codesize(), 0x00) }
        }
    }

    /// @dev Requires that the caller is the EntryPoint, the owner, or the account itself.
    modifier onlyEntryPointOrOwner() virtual {
        if (msg.sender != entryPoint()) _checkOwner();
        _;
    }

    /*´:°•.°+.*•´.*:˚.°*.˚•´.°:°•.°•.*•´.*:˚.°*.˚•´.°:°•.°+.*•´.*:*/
    /*                 DIRECT STORAGE OPERATIONS                  */
    /*.•°:°.´+˚.*°.˚:*.´•*.+°.•°:´*.´•*.•°.•°:°.´:•˚°.*°.˚:*.´+°.•*/

    /// @dev Returns the raw storage value at `storageSlot`.
    function storageLoad(bytes32 storageSlot) public view virtual returns (bytes32 result) {
        /// @solidity memory-safe-assembly
        assembly {
            result := sload(storageSlot)
        }
    }

    /// @dev Writes the raw storage value at `storageSlot`.
    function storageStore(bytes32 storageSlot, bytes32 storageValue)
        public
        payable
        virtual
        onlyEntryPointOrOwner
        storageStoreGuard(storageSlot)
    {
        /// @solidity memory-safe-assembly
        assembly {
            sstore(storageSlot, storageValue)
        }
    }

    /// @dev Ensures that the `storageSlot` is not prohibited for direct storage writes.
    /// You can override this modifier to ensure the sanctity of other storage slots too.
    modifier storageStoreGuard(bytes32 storageSlot) virtual {
        /// @solidity memory-safe-assembly
        assembly {
            if or(eq(storageSlot, _OWNER_SLOT), eq(storageSlot, _ERC1967_IMPLEMENTATION_SLOT)) {
                revert(codesize(), 0x00)
            }
        }
        _;
    }

    /*´:°•.°+.*•´.*:˚.°*.˚•´.°:°•.°•.*•´.*:˚.°*.˚•´.°:°•.°+.*•´.*:*/
    /*                     DEPOSIT OPERATIONS                     */
    /*.•°:°.´+˚.*°.˚:*.´•*.+°.•°:´*.´•*.•°.•°:°.´:•˚°.*°.˚:*.´+°.•*/

    /// @dev Returns the account's balance on the EntryPoint.
    function getDeposit() public view virtual returns (uint256 result) {
        address ep = entryPoint();
        /// @solidity memory-safe-assembly
        assembly {
            mstore(0x20, address()) // Store the `account` argument.
            mstore(0x00, 0x70a08231) // `balanceOf(address)`.
            result :=
                mul( // Returns 0 if the EntryPoint does not exist.
                    mload(0x20),
                    and( // The arguments of `and` are evaluated from right to left.
                        gt(returndatasize(), 0x1f), // At least 32 bytes returned.
                        staticcall(gas(), ep, 0x1c, 0x24, 0x20, 0x20)
                    )
                )
        }
    }

    /// @dev Deposit more funds for this account in the EntryPoint.
    function addDeposit() public payable virtual {
        address ep = entryPoint();
        /// @solidity memory-safe-assembly
        assembly {
            // The EntryPoint has balance accounting logic in the `receive()` function.
            // forgefmt: disable-next-item
            if iszero(mul(extcodesize(ep), call(gas(), ep, callvalue(), codesize(), 0x00, codesize(), 0x00))) {
                revert(codesize(), 0x00) // For gas estimation.
            }
        }
    }

    /// @dev Withdraw ETH from the account's deposit on the EntryPoint.
    function withdrawDepositTo(address to, uint256 amount) public payable virtual onlyOwner {
        address ep = entryPoint();
        /// @solidity memory-safe-assembly
        assembly {
            mstore(0x14, to) // Store the `to` argument.
            mstore(0x34, amount) // Store the `amount` argument.
            mstore(0x00, 0x205c2878000000000000000000000000) // `withdrawTo(address,uint256)`.
            if iszero(mul(extcodesize(ep), call(gas(), ep, 0, 0x10, 0x44, codesize(), 0x00))) {
                returndatacopy(mload(0x40), 0x00, returndatasize())
                revert(mload(0x40), returndatasize())
            }
            mstore(0x34, 0) // Restore the part of the free memory pointer that was overwritten.
        }
    }

    /*´:°•.°+.*•´.*:˚.°*.˚•´.°:°•.°•.*•´.*:˚.°*.˚•´.°:°•.°+.*•´.*:*/
    /*                         OVERRIDES                          */
    /*.•°:°.´+˚.*°.˚:*.´•*.+°.•°:´*.´•*.•°.•°:°.´:•˚°.*°.˚:*.´+°.•*/

    /// @dev Requires that the caller is the owner or the account itself.
    /// This override affects the `onlyOwner` modifier.
    function _checkOwner() internal view virtual override(Ownable) {
        if (msg.sender != owner()) if (msg.sender != address(this)) revert Unauthorized();
    }

    /// @dev To prevent double-initialization (reuses the owner storage slot for efficiency).
    function _guardInitializeOwner() internal pure virtual override(Ownable) returns (bool) {
        return true;
    }

    /// @dev To ensure that only the owner or the account itself can upgrade the implementation.
    function _authorizeUpgrade(address) internal virtual override(UUPSUpgradeable) onlyOwner {}

    /// @dev Handle token callbacks. If no token callback is triggered,
    /// use `LibZip.cdFallback` for generalized calldata decompression.
    /// If you don't need either, re-override this function.
    fallback() external payable virtual override(Receiver) receiverFallback {
        LibZip.cdFallback();
    }
}


// SPDX-License-Identifier: MIT
pragma solidity ^0.8.4;

import {LibClone} from "../utils/LibClone.sol";

/// @notice Simple ERC4337 account factory implementation.
/// @author Solady (https://github.com/vectorized/solady/blob/main/src/accounts/ERC4337Factory.sol)
///
/// Note:
/// - Unlike the ERC1967Factory, this factory does NOT store any admin info on the factory itself.
///   The deployed ERC4337 accounts are minimal ERC1967 proxies to an ERC4337 implementation.
///   The proxy bytecode does NOT contain any upgrading logic.
/// - This factory does NOT contain any logic for upgrading the ERC4337 accounts.
///   Upgrading must be done via UUPS logic on the accounts themselves.
contract ERC4337Factory {
    /*´:°•.°+.*•´.*:˚.°*.˚•´.°:°•.°•.*•´.*:˚.°*.˚•´.°:°•.°+.*•´.*:*/
    /*                         IMMUTABLES                         */
    /*.•°:°.´+˚.*°.˚:*.´•*.+°.•°:´*.´•*.•°.•°:°.´:•˚°.*°.˚:*.´+°.•*/

    /// @dev Address of the ERC4337 implementation.
    address public immutable implementation;

    /*´:°•.°+.*•´.*:˚.°*.˚•´.°:°•.°•.*•´.*:˚.°*.˚•´.°:°•.°+.*•´.*:*/
    /*                        CONSTRUCTOR                         */
    /*.•°:°.´+˚.*°.˚:*.´•*.+°.•°:´*.´•*.•°.•°:°.´:•˚°.*°.˚:*.´+°.•*/

    constructor(address erc4337) payable {
        implementation = erc4337;
    }

    /*´:°•.°+.*•´.*:˚.°*.˚•´.°:°•.°•.*•´.*:˚.°*.˚•´.°:°•.°+.*•´.*:*/
    /*                      DEPLOY FUNCTIONS                      */
    /*.•°:°.´+˚.*°.˚:*.´•*.+°.•°:´*.´•*.•°.•°:°.´:•˚°.*°.˚:*.´+°.•*/

    /// @dev Deploys an ERC4337 account and returns its address.
    function deploy(address owner) public payable virtual returns (address account) {
        account = LibClone.deployERC1967(msg.value, implementation);
        _initialize(account, owner);
    }

    /// @dev Deploys an ERC4337 account with `salt` and returns its deterministic address.
    function deployDeterministic(address owner, bytes32 salt)
        public
        payable
        virtual
        returns (address account)
    {
        LibClone.checkStartsWith(salt, owner);
        account = LibClone.deployDeterministicERC1967(msg.value, implementation, salt);
        _initialize(account, owner);
    }

    /// @dev Returns the initialization code hash of the ERC4337 account (a minimal ERC1967 proxy).
    /// Used for mining vanity addresses with create2crunch.
    function initCodeHash() public view virtual returns (bytes32 result) {
        result = LibClone.initCodeHashERC1967(implementation);
    }

    /*´:°•.°+.*•´.*:˚.°*.˚•´.°:°•.°•.*•´.*:˚.°*.˚•´.°:°•.°+.*•´.*:*/
    /*                      INTERNAL HELPERS                      */
    /*.•°:°.´+˚.*°.˚:*.´•*.+°.•°:´*.´•*.•°.•°:°.´:•˚°.*°.˚:*.´+°.•*/

    /// @dev Calls `account.initialize(address owner)`.
    function _initialize(address account, address owner) internal virtual {
        /// @solidity memory-safe-assembly
        assembly {
            mstore(0x14, owner) // Store the `owner` argument.
            mstore(0x00, 0xc4d66de8000000000000000000000000) // `initialize(address)`.
            if iszero(call(gas(), account, 0, 0x10, 0x24, codesize(), 0x00)) {
                returndatacopy(mload(0x40), 0x00, returndatasize())
                revert(mload(0x40), returndatasize())
            }
        }
    }
}


// SPDX-License-Identifier: MIT
pragma solidity ^0.8.4;

import {Receiver} from "./Receiver.sol";
import {EIP712} from "../utils/EIP712.sol";
import {LibZip} from "../utils/LibZip.sol";
import {UUPSUpgradeable} from "../utils/UUPSUpgradeable.sol";
import {SignatureCheckerLib} from "../utils/SignatureCheckerLib.sol";

/// @notice Simple ERC6551 account implementation.
/// @author Solady (https://github.com/vectorized/solady/blob/main/src/accounts/ERC6551.sol)
/// @author ERC6551 team (https://github.com/erc6551/reference/blob/main/src/examples/upgradeable/ERC6551AccountUpgradeable.sol)
///
/// Recommended usage (regular):
/// 1. Deploy the ERC6551 as an implementation contract, and verify it on Etherscan.
/// 2. Use the canonical ERC6551Registry to deploy a clone to the ERC6551 implementation.
///    The UUPSUpgradeable functions will simply become no-ops.
///
/// Recommended usage (upgradeable):
/// 1. Deploy the ERC6551 as an implementation contract, and verify it on Etherscan.
/// 2. Deploy the ERC6551Proxy pointing to the implementation.
///    This relay proxy is required, but Etherscan verification of it is optional.
/// 3. Use the canonical ERC6551Registry to deploy a clone to the ERC6551Proxy.
///    If you want to reveal the "Read as Proxy" and "Write as Proxy" tabs on Etherscan,
///    send 0 ETH to the clone to initialize its ERC1967 implementation slot,
///    the click on "Is this a proxy?" on the clone's page on Etherscan.
///
/// Note:
/// - ERC6551 accounts are not compatible with ERC4337
///   (at least not without crazy hacks)
///   due to storage access limitations during ERC4337 UserOp validation.
/// - Please refer to the official [ERC6551](https://github.com/erc6551/reference) reference
///   for latest updates on the ERC6551 standard, as well as canonical registry information.
abstract contract ERC6551 is UUPSUpgradeable, Receiver, EIP712 {
    /*´:°•.°+.*•´.*:˚.°*.˚•´.°:°•.°•.*•´.*:˚.°*.˚•´.°:°•.°+.*•´.*:*/
    /*                         CONSTANTS                          */
    /*.•°:°.´+˚.*°.˚:*.´•*.+°.•°:´*.´•*.•°.•°:°.´:•˚°.*°.˚:*.´+°.•*/

    /// @dev For EIP-712 signature digest calculation for the `isValidSignature` function
    /// `keccak256("ERC1271(bytes32 hash)")`.
    bytes32 internal constant _ERC1271_TYPEHASH =
        0xa8a2dd35d9cd06a6840564d73aaec58914552a61a261b195d690488142842417;

    /*´:°•.°+.*•´.*:˚.°*.˚•´.°:°•.°•.*•´.*:˚.°*.˚•´.°:°•.°+.*•´.*:*/
    /*                          STRUCTS                           */
    /*.•°:°.´+˚.*°.˚:*.´•*.+°.•°:´*.´•*.•°.•°:°.´:•˚°.*°.˚:*.´+°.•*/

    /// @dev Call struct for the `executeBatch` function.
    struct Call {
        address target;
        uint256 value;
        bytes data;
    }

    /*´:°•.°+.*•´.*:˚.°*.˚•´.°:°•.°•.*•´.*:˚.°*.˚•´.°:°•.°+.*•´.*:*/
    /*                       CUSTOM ERRORS                        */
    /*.•°:°.´+˚.*°.˚:*.´•*.+°.•°:´*.´•*.•°.•°:°.´:•˚°.*°.˚:*.´+°.•*/

    /// @dev The caller is not authorized to call the function.
    error Unauthorized();

    /// @dev The operation is not supported.
    error OperationNotSupported();

    /// @dev Self ownership detected.
    error SelfOwnDetected();

    /*´:°•.°+.*•´.*:˚.°*.˚•´.°:°•.°•.*•´.*:˚.°*.˚•´.°:°•.°+.*•´.*:*/
    /*                         CONSTANTS                          */
    /*.•°:°.´+˚.*°.˚:*.´•*.+°.•°:´*.´•*.•°.•°:°.´:•˚°.*°.˚:*.´+°.•*/

    /// @dev The ERC6551 state slot is given by:
    /// `bytes32(~uint256(uint32(bytes4(keccak256("_ERC6551_STATE_SLOT_NOT")))))`.
    /// It is intentionally chosen to be a high value
    /// to avoid collision with lower slots.
    /// The choice of manual storage layout is to enable compatibility
    /// with both regular and upgradeable contracts.
    uint256 internal constant _ERC6551_STATE_SLOT =
        0xffffffffffffffffffffffffffffffffffffffffffffffffffffffffb919c7a5;

    /*´:°•.°+.*•´.*:˚.°*.˚•´.°:°•.°•.*•´.*:˚.°*.˚•´.°:°•.°+.*•´.*:*/
    /*              TOKEN-BOUND OWNERSHIP OPERATIONS              */
    /*.•°:°.´+˚.*°.˚:*.´•*.+°.•°:´*.´•*.•°.•°:°.´:•˚°.*°.˚:*.´+°.•*/

    /// @dev Returns the token-bound information.
    function token()
        public
        view
        virtual
        returns (uint256 chainId, address tokenContract, uint256 tokenId)
    {
        /// @solidity memory-safe-assembly
        assembly {
            let m := mload(0x40) // Cache the free memory pointer.
            extcodecopy(address(), 0x00, 0x4d, 0x60)
            chainId := mload(0x00)
            tokenContract := mload(0x20) // Upper 96 bits will be clean.
            tokenId := mload(0x40)
            mstore(0x40, m) // Restore the free memory pointer.
        }
    }

    /// @dev Returns the owner of the contract.
    function owner() public view virtual returns (address result) {
        /// @solidity memory-safe-assembly
        assembly {
            let m := mload(0x40) // Cache the free memory pointer.
            extcodecopy(address(), 0x00, 0x4d, 0x60)
            if eq(mload(0x00), chainid()) {
                let tokenContract := mload(0x20)
                // `tokenId` is already at 0x40.
                mstore(0x20, 0x6352211e) // `ownerOf(uint256)`.
                result :=
                    mul( // Returns `address(0)` on failure or if contract does not exist.
                        mload(0x20),
                        and(
                            gt(returndatasize(), 0x1f),
                            staticcall(gas(), tokenContract, 0x3c, 0x24, 0x20, 0x20)
                        )
                    )
            }
            mstore(0x40, m) // Restore the free memory pointer.
        }
    }

    /// @dev Validates the signature with ERC1271 return,
    /// so that this account can also be used as a signer.
    function isValidSignature(bytes32 hash, bytes calldata signature)
        public
        view
        virtual
        returns (bytes4 result)
    {
        bool success = SignatureCheckerLib.isValidSignatureNowCalldata(
            owner(), _computeIsValidSignatureDigest(hash), signature
        );
        /// @solidity memory-safe-assembly
        assembly {
            // `success ? bytes4(keccak256("isValidSignature(bytes32,bytes)")) : 0xffffffff`.
            result := shl(224, or(0x1626ba7e, sub(0, iszero(success))))
        }
    }

    /// @dev Returns the EIP-712 digest for `ERC1271(bytes hash)`.
    function _computeIsValidSignatureDigest(bytes32 hash)
        internal
        view
        virtual
        returns (bytes32 result)
    {
        /// @solidity memory-safe-assembly
        assembly {
            mstore(0x00, _ERC1271_TYPEHASH)
            mstore(0x20, hash)
            result := keccak256(0x00, 0x40)
        }
        result = _hashTypedData(result);
    }

    /// @dev Returns if `signer` is an authorized signer.
    function _isValidSigner(address signer) internal view virtual returns (bool) {
        return signer == owner();
    }

    /// @dev Requires that the caller is a valid signer (i.e. the owner), or the contract itself.
    modifier onlyValidSigner() virtual {
        if (!_isValidSigner(msg.sender)) if (msg.sender != address(this)) revert Unauthorized();
        _;
    }

    /*´:°•.°+.*•´.*:˚.°*.˚•´.°:°•.°•.*•´.*:˚.°*.˚•´.°:°•.°+.*•´.*:*/
    /*                      STATE OPERATIONS                      */
    /*.•°:°.´+˚.*°.˚:*.´•*.+°.•°:´*.´•*.•°.•°:°.´:•˚°.*°.˚:*.´+°.•*/

    /// @dev Returns the current value of the state counter.
    function state() public view virtual returns (uint256 result) {
        /// @solidity memory-safe-assembly
        assembly {
            result := sload(_ERC6551_STATE_SLOT)
        }
    }

    /// @dev Increments the state counter. This modifier is required for every
    /// public / external function that may modify storage or emit events.
    modifier incrementState() virtual {
        /// @solidity memory-safe-assembly
        assembly {
            let s := _ERC6551_STATE_SLOT
            sstore(s, add(1, sload(s)))
        }
        _;
    }

    /*´:°•.°+.*•´.*:˚.°*.˚•´.°:°•.°•.*•´.*:˚.°*.˚•´.°:°•.°+.*•´.*:*/
    /*                    EXECUTION OPERATIONS                    */
    /*.•°:°.´+˚.*°.˚:*.´•*.+°.•°:´*.´•*.•°.•°:°.´:•˚°.*°.˚:*.´+°.•*/

    /// @dev Execute a call from this account.
    function execute(address target, uint256 value, bytes calldata data, uint8 operation)
        public
        payable
        virtual
        onlyValidSigner
        onlyValidExecuteOperation(operation)
        incrementState
        returns (bytes memory result)
    {
        /// @solidity memory-safe-assembly
        assembly {
            result := mload(0x40)
            calldatacopy(result, data.offset, data.length)
            if iszero(call(gas(), target, value, result, data.length, codesize(), 0x00)) {
                // Bubble up the revert if the call reverts.
                returndatacopy(result, 0x00, returndatasize())
                revert(result, returndatasize())
            }
            mstore(result, returndatasize()) // Store the length.
            let o := add(result, 0x20)
            returndatacopy(o, 0x00, returndatasize()) // Copy the returndata.
            mstore(0x40, add(o, returndatasize())) // Allocate the memory.
        }
    }

    /// @dev Execute a sequence of calls from this account.
    function executeBatch(Call[] calldata calls, uint8 operation)
        public
        payable
        virtual
        onlyValidSigner
        onlyValidExecuteOperation(operation)
        incrementState
        returns (bytes[] memory results)
    {
        /// @solidity memory-safe-assembly
        assembly {
            results := mload(0x40)
            mstore(results, calls.length)
            let r := add(0x20, results)
            let m := add(r, shl(5, calls.length))
            calldatacopy(r, calls.offset, shl(5, calls.length))
            for { let end := m } iszero(eq(r, end)) { r := add(r, 0x20) } {
                let e := add(calls.offset, mload(r))
                let o := add(e, calldataload(add(e, 0x40)))
                calldatacopy(m, add(o, 0x20), calldataload(o))
                // forgefmt: disable-next-item
                if iszero(call(gas(), calldataload(e), calldataload(add(e, 0x20)),
                    m, calldataload(o), codesize(), 0x00)) {
                    // Bubble up the revert if the call reverts.
                    returndatacopy(m, 0x00, returndatasize())
                    revert(m, returndatasize())
                }
                mstore(r, m) // Append `m` into `results`.
                mstore(m, returndatasize()) // Store the length,
                let p := add(m, 0x20)
                returndatacopy(p, 0x00, returndatasize()) // and copy the returndata.
                m := add(p, returndatasize()) // Advance `m`.
            }
            mstore(0x40, m) // Allocate the memory.
        }
    }

    /// @dev Requires that the execute `operation` is supported.
    modifier onlyValidExecuteOperation(uint8 operation) virtual {
        if (operation != 0) revert OperationNotSupported();
        _;
    }

    /*´:°•.°+.*•´.*:˚.°*.˚•´.°:°•.°•.*•´.*:˚.°*.˚•´.°:°•.°+.*•´.*:*/
    /*                           ERC165                           */
    /*.•°:°.´+˚.*°.˚:*.´•*.+°.•°:´*.´•*.•°.•°:°.´:•˚°.*°.˚:*.´+°.•*/

    /// @dev Returns true if this contract implements the interface defined by `interfaceId`.
    /// See: https://eips.ethereum.org/EIPS/eip-165
    /// This function call must use less than 30000 gas.
    function supportsInterface(bytes4 interfaceId) public view virtual returns (bool result) {
        /// @solidity memory-safe-assembly
        assembly {
            let s := shr(224, interfaceId)
            // ERC165: 0x01ffc9a7, ERC6551: 0x6faff5f1, ERC6551Executable: 0x74420f4c.
            result := or(or(eq(s, 0x01ffc9a7), eq(s, 0x6faff5f1)), eq(s, 0x74420f4c))
        }
    }

    /*´:°•.°+.*•´.*:˚.°*.˚•´.°:°•.°•.*•´.*:˚.°*.˚•´.°:°•.°+.*•´.*:*/
    /*                         OVERRIDES                          */
    /*.•°:°.´+˚.*°.˚:*.´•*.+°.•°:´*.´•*.•°.•°:°.´:•˚°.*°.˚:*.´+°.•*/

    /// @dev To ensure that only the owner or the account itself can upgrade the implementation.
    function _authorizeUpgrade(address)
        internal
        virtual
        override(UUPSUpgradeable)
        onlyValidSigner
        incrementState
    {}

    /// @dev For handling token callbacks.
    /// Safe-transferred ERC721 tokens will trigger a ownership cycle check.
    modifier receiverFallback() override(Receiver) {
        /// @solidity memory-safe-assembly
        assembly {
            let s := shr(224, calldataload(0x00))
            // 0x150b7a02: `onERC721Received(address,address,uint256,bytes)`.
            if eq(s, 0x150b7a02) {
                extcodecopy(address(), 0x00, 0x4d, 0x60) // `chainId`, `tokenContract`, `tokenId`.
                mstore(0x60, 0xfc0c546a) // `token()`.
                for {} 1 {} {
                    let tokenContract := mload(0x20)
                    // `tokenId` is already at 0x40.
                    mstore(0x20, 0x6352211e) // `ownerOf(uint256)`.
                    let chainsEq := eq(mload(0x00), chainid())
                    let currentOwner :=
                        mul(
                            mload(0x20),
                            and(
                                and(gt(returndatasize(), 0x1f), chainsEq),
                                staticcall(gas(), tokenContract, 0x3c, 0x24, 0x20, 0x20)
                            )
                        )
                    if iszero(
                        or(
                            eq(currentOwner, address()),
                            and(
                                and(chainsEq, eq(tokenContract, caller())),
                                eq(mload(0x40), calldataload(0x44))
                            )
                        )
                    ) {
                        if iszero(
                            and(
                                gt(returndatasize(), 0x5f),
                                staticcall(gas(), currentOwner, 0x7c, 0x04, 0x00, 0x60)
                            )
                        ) {
                            mstore(0x40, s) // Store `msg.sig`.
                            return(0x5c, 0x20) // Return `msg.sig`.
                        }
                        continue
                    }
                    mstore(0x00, 0xaed146d3) // `SelfOwnDetected()`.
                    revert(0x1c, 0x04)
                }
            }
            // 0xf23a6e61: `onERC1155Received(address,address,uint256,uint256,bytes)`.
            // 0xbc197c81: `onERC1155BatchReceived(address,address,uint256[],uint256[],bytes)`.
            if or(eq(s, 0xf23a6e61), eq(s, 0xbc197c81)) {
                mstore(0x20, s) // Store `msg.sig`.
                return(0x3c, 0x20) // Return `msg.sig`.
            }
        }
        _;
    }

    /// @dev Handle token callbacks. If no token callback is triggered,
    /// use `LibZip.cdFallback` for generalized calldata decompression.
    /// If you don't need either, re-override this function.
    fallback() external payable virtual override(Receiver) receiverFallback {
        LibZip.cdFallback();
    }
}


// SPDX-License-Identifier: MIT
pragma solidity ^0.8.4;

/// @notice Relay proxy for upgradeable ERC6551 accounts.
/// @author Solady (https://github.com/vectorized/solady/blob/main/src/accounts/ERC6551Proxy.sol)
/// @author ERC6551 team (https://github.com/erc6551/reference/blob/main/src/examples/upgradeable/ERC6551AccountProxy.sol)
///
/// Note: This relay proxy is required for upgradeable ERC6551 accounts.
///
/// ERC6551 clone -> ERC6551Proxy (relay) -> ERC6551 account implementation.
///
/// This relay proxy also allows for correctly revealing the
/// "Read as Proxy" and "Write as Proxy" tabs on Etherscan.
///
/// After using the registry to deploy a ERC6551 clone pointing to this relay proxy,
/// users must send 0 ETH to the clone before clicking on "Is this a proxy?" on Etherscan.
/// Verification of this relay proxy on Etherscan is optional.
contract ERC6551Proxy {
    /*´:°•.°+.*•´.*:˚.°*.˚•´.°:°•.°•.*•´.*:˚.°*.˚•´.°:°•.°+.*•´.*:*/
    /*                         IMMUTABLES                         */
    /*.•°:°.´+˚.*°.˚:*.´•*.+°.•°:´*.´•*.•°.•°:°.´:•˚°.*°.˚:*.´+°.•*/

    /// @dev The default implementation.
    uint256 internal immutable _defaultImplementation;

    /*´:°•.°+.*•´.*:˚.°*.˚•´.°:°•.°•.*•´.*:˚.°*.˚•´.°:°•.°+.*•´.*:*/
    /*                          STORAGE                           */
    /*.•°:°.´+˚.*°.˚:*.´•*.+°.•°:´*.´•*.•°.•°:°.´:•˚°.*°.˚:*.´+°.•*/

    /// @dev The ERC-1967 storage slot for the implementation in the proxy.
    /// `uint256(keccak256("eip1967.proxy.implementation")) - 1`.
    bytes32 internal constant _ERC1967_IMPLEMENTATION_SLOT =
        0x360894a13ba1a3210667c828492db98dca3e2076cc3735a920a3ca505d382bbc;

    /*´:°•.°+.*•´.*:˚.°*.˚•´.°:°•.°•.*•´.*:˚.°*.˚•´.°:°•.°+.*•´.*:*/
    /*                        CONSTRUCTOR                         */
    /*.•°:°.´+˚.*°.˚:*.´•*.+°.•°:´*.´•*.•°.•°:°.´:•˚°.*°.˚:*.´+°.•*/

    constructor(address defaultImplementation) payable {
        _defaultImplementation = uint256(uint160(defaultImplementation));
    }

    /*´:°•.°+.*•´.*:˚.°*.˚•´.°:°•.°•.*•´.*:˚.°*.˚•´.°:°•.°+.*•´.*:*/
    /*                          FALLBACK                          */
    /*.•°:°.´+˚.*°.˚:*.´•*.+°.•°:´*.´•*.•°.•°:°.´:•˚°.*°.˚:*.´+°.•*/

    fallback() external payable virtual {
        uint256 d = _defaultImplementation;
        assembly {
            mstore(0x40, returndatasize()) // Some optimization trick.
            calldatacopy(returndatasize(), returndatasize(), calldatasize())
            let implementation := sload(_ERC1967_IMPLEMENTATION_SLOT)
            // If the implementation is zero, initialize it to the default.
            if iszero(implementation) {
                implementation := d
                // Only initialize if the calldatasize is zero, so that staticcalls to
                // functions (which will have 4-byte function selectors) won't revert.
                // Some users may be fine without Etherscan proxy detection and thus may
                // choose to not initialize the ERC1967 implementation slot.
                if iszero(calldatasize()) { sstore(_ERC1967_IMPLEMENTATION_SLOT, d) }
            }
            // forgefmt: disable-next-item
            if iszero(delegatecall(gas(), implementation,
                returndatasize(), calldatasize(), codesize(), returndatasize())) {
                returndatacopy(0x00, 0x00, returndatasize())
                revert(0x00, returndatasize())
            }
            returndatacopy(0x00, 0x00, returndatasize())
            return(0x00, returndatasize())
        }
    }
}


// SPDX-License-Identifier: MIT
pragma solidity ^0.8.4;

/// @notice Receiver mixin for ETH and safe-transferred ERC721 and ERC1155 tokens.
/// @author Solady (https://github.com/Vectorized/solady/blob/main/src/accounts/Receiver.sol)
///
/// @dev Note:
/// - Handles all ERC721 and ERC1155 token safety callbacks.
/// - Collapses function table gas overhead and code size.
/// - Utilizes fallback so unknown calldata will pass on.
abstract contract Receiver {
    /// @dev For receiving ETH.
    receive() external payable virtual {}

    /// @dev Fallback function with the `receiverFallback` modifier.
    fallback() external payable virtual receiverFallback {}

    /// @dev Modifier for the fallback function to handle token callbacks.
    modifier receiverFallback() virtual {
        /// @solidity memory-safe-assembly
        assembly {
            let s := shr(224, calldataload(0))
            // 0x150b7a02: `onERC721Received(address,address,uint256,bytes)`.
            // 0xf23a6e61: `onERC1155Received(address,address,uint256,uint256,bytes)`.
            // 0xbc197c81: `onERC1155BatchReceived(address,address,uint256[],uint256[],bytes)`.
            if or(eq(s, 0x150b7a02), or(eq(s, 0xf23a6e61), eq(s, 0xbc197c81))) {
                mstore(0x20, s) // Store `msg.sig`.
                return(0x3c, 0x20) // Return `msg.sig`.
            }
        }
        _;
    }
}


// SPDX-License-Identifier: MIT
pragma solidity ^0.8.4;

/// @notice Simple single owner authorization mixin.
/// @author Solady (https://github.com/vectorized/solady/blob/main/src/auth/Ownable.sol)
///
/// @dev Note:
/// This implementation does NOT auto-initialize the owner to `msg.sender`.
/// You MUST call the `_initializeOwner` in the constructor / initializer.
///
/// While the ownable portion follows
/// [EIP-173](https://eips.ethereum.org/EIPS/eip-173) for compatibility,
/// the nomenclature for the 2-step ownership handover may be unique to this codebase.
abstract contract Ownable {
    /*´:°•.°+.*•´.*:˚.°*.˚•´.°:°•.°•.*•´.*:˚.°*.˚•´.°:°•.°+.*•´.*:*/
    /*                       CUSTOM ERRORS                        */
    /*.•°:°.´+˚.*°.˚:*.´•*.+°.•°:´*.´•*.•°.•°:°.´:•˚°.*°.˚:*.´+°.•*/

    /// @dev The caller is not authorized to call the function.
    error Unauthorized();

    /// @dev The `newOwner` cannot be the zero address.
    error NewOwnerIsZeroAddress();

    /// @dev The `pendingOwner` does not have a valid handover request.
    error NoHandoverRequest();

    /// @dev Cannot double-initialize.
    error AlreadyInitialized();

    /*´:°•.°+.*•´.*:˚.°*.˚•´.°:°•.°•.*•´.*:˚.°*.˚•´.°:°•.°+.*•´.*:*/
    /*                           EVENTS                           */
    /*.•°:°.´+˚.*°.˚:*.´•*.+°.•°:´*.´•*.•°.•°:°.´:•˚°.*°.˚:*.´+°.•*/

    /// @dev The ownership is transferred from `oldOwner` to `newOwner`.
    /// This event is intentionally kept the same as OpenZeppelin's Ownable to be
    /// compatible with indexers and [EIP-173](https://eips.ethereum.org/EIPS/eip-173),
    /// despite it not being as lightweight as a single argument event.
    event OwnershipTransferred(address indexed oldOwner, address indexed newOwner);

    /// @dev An ownership handover to `pendingOwner` has been requested.
    event OwnershipHandoverRequested(address indexed pendingOwner);

    /// @dev The ownership handover to `pendingOwner` has been canceled.
    event OwnershipHandoverCanceled(address indexed pendingOwner);

    /// @dev `keccak256(bytes("OwnershipTransferred(address,address)"))`.
    uint256 private constant _OWNERSHIP_TRANSFERRED_EVENT_SIGNATURE =
        0x8be0079c531659141344cd1fd0a4f28419497f9722a3daafe3b4186f6b6457e0;

    /// @dev `keccak256(bytes("OwnershipHandoverRequested(address)"))`.
    uint256 private constant _OWNERSHIP_HANDOVER_REQUESTED_EVENT_SIGNATURE =
        0xdbf36a107da19e49527a7176a1babf963b4b0ff8cde35ee35d6cd8f1f9ac7e1d;

    /// @dev `keccak256(bytes("OwnershipHandoverCanceled(address)"))`.
    uint256 private constant _OWNERSHIP_HANDOVER_CANCELED_EVENT_SIGNATURE =
        0xfa7b8eab7da67f412cc9575ed43464468f9bfbae89d1675917346ca6d8fe3c92;

    /*´:°•.°+.*•´.*:˚.°*.˚•´.°:°•.°•.*•´.*:˚.°*.˚•´.°:°•.°+.*•´.*:*/
    /*                          STORAGE                           */
    /*.•°:°.´+˚.*°.˚:*.´•*.+°.•°:´*.´•*.•°.•°:°.´:•˚°.*°.˚:*.´+°.•*/

    /// @dev The owner slot is given by:
    /// `bytes32(~uint256(uint32(bytes4(keccak256("_OWNER_SLOT_NOT")))))`.
    /// It is intentionally chosen to be a high value
    /// to avoid collision with lower slots.
    /// The choice of manual storage layout is to enable compatibility
    /// with both regular and upgradeable contracts.
    bytes32 internal constant _OWNER_SLOT =
        0xffffffffffffffffffffffffffffffffffffffffffffffffffffffff74873927;

    /// The ownership handover slot of `newOwner` is given by:
    /// ```
    ///     mstore(0x00, or(shl(96, user), _HANDOVER_SLOT_SEED))
    ///     let handoverSlot := keccak256(0x00, 0x20)
    /// ```
    /// It stores the expiry timestamp of the two-step ownership handover.
    uint256 private constant _HANDOVER_SLOT_SEED = 0x389a75e1;

    /*´:°•.°+.*•´.*:˚.°*.˚•´.°:°•.°•.*•´.*:˚.°*.˚•´.°:°•.°+.*•´.*:*/
    /*                     INTERNAL FUNCTIONS                     */
    /*.•°:°.´+˚.*°.˚:*.´•*.+°.•°:´*.´•*.•°.•°:°.´:•˚°.*°.˚:*.´+°.•*/

    /// @dev Override to return true to make `_initializeOwner` prevent double-initialization.
    function _guardInitializeOwner() internal pure virtual returns (bool guard) {}

    /// @dev Initializes the owner directly without authorization guard.
    /// This function must be called upon initialization,
    /// regardless of whether the contract is upgradeable or not.
    /// This is to enable generalization to both regular and upgradeable contracts,
    /// and to save gas in case the initial owner is not the caller.
    /// For performance reasons, this function will not check if there
    /// is an existing owner.
    function _initializeOwner(address newOwner) internal virtual {
        if (_guardInitializeOwner()) {
            /// @solidity memory-safe-assembly
            assembly {
                let ownerSlot := _OWNER_SLOT
                if sload(ownerSlot) {
                    mstore(0x00, 0x0dc149f0) // `AlreadyInitialized()`.
                    revert(0x1c, 0x04)
                }
                // Clean the upper 96 bits.
                newOwner := shr(96, shl(96, newOwner))
                // Store the new value.
                sstore(ownerSlot, or(newOwner, shl(255, iszero(newOwner))))
                // Emit the {OwnershipTransferred} event.
                log3(0, 0, _OWNERSHIP_TRANSFERRED_EVENT_SIGNATURE, 0, newOwner)
            }
        } else {
            /// @solidity memory-safe-assembly
            assembly {
                // Clean the upper 96 bits.
                newOwner := shr(96, shl(96, newOwner))
                // Store the new value.
                sstore(_OWNER_SLOT, newOwner)
                // Emit the {OwnershipTransferred} event.
                log3(0, 0, _OWNERSHIP_TRANSFERRED_EVENT_SIGNATURE, 0, newOwner)
            }
        }
    }

    /// @dev Sets the owner directly without authorization guard.
    function _setOwner(address newOwner) internal virtual {
        if (_guardInitializeOwner()) {
            /// @solidity memory-safe-assembly
            assembly {
                let ownerSlot := _OWNER_SLOT
                // Clean the upper 96 bits.
                newOwner := shr(96, shl(96, newOwner))
                // Emit the {OwnershipTransferred} event.
                log3(0, 0, _OWNERSHIP_TRANSFERRED_EVENT_SIGNATURE, sload(ownerSlot), newOwner)
                // Store the new value.
                sstore(ownerSlot, or(newOwner, shl(255, iszero(newOwner))))
            }
        } else {
            /// @solidity memory-safe-assembly
            assembly {
                let ownerSlot := _OWNER_SLOT
                // Clean the upper 96 bits.
                newOwner := shr(96, shl(96, newOwner))
                // Emit the {OwnershipTransferred} event.
                log3(0, 0, _OWNERSHIP_TRANSFERRED_EVENT_SIGNATURE, sload(ownerSlot), newOwner)
                // Store the new value.
                sstore(ownerSlot, newOwner)
            }
        }
    }

    /// @dev Throws if the sender is not the owner.
    function _checkOwner() internal view virtual {
        /// @solidity memory-safe-assembly
        assembly {
            // If the caller is not the stored owner, revert.
            if iszero(eq(caller(), sload(_OWNER_SLOT))) {
                mstore(0x00, 0x82b42900) // `Unauthorized()`.
                revert(0x1c, 0x04)
            }
        }
    }

    /// @dev Returns how long a two-step ownership handover is valid for in seconds.
    /// Override to return a different value if needed.
    /// Made internal to conserve bytecode. Wrap it in a public function if needed.
    function _ownershipHandoverValidFor() internal view virtual returns (uint64) {
        return 48 * 3600;
    }

    /*´:°•.°+.*•´.*:˚.°*.˚•´.°:°•.°•.*•´.*:˚.°*.˚•´.°:°•.°+.*•´.*:*/
    /*                  PUBLIC UPDATE FUNCTIONS                   */
    /*.•°:°.´+˚.*°.˚:*.´•*.+°.•°:´*.´•*.•°.•°:°.´:•˚°.*°.˚:*.´+°.•*/

    /// @dev Allows the owner to transfer the ownership to `newOwner`.
    function transferOwnership(address newOwner) public payable virtual onlyOwner {
        /// @solidity memory-safe-assembly
        assembly {
            if iszero(shl(96, newOwner)) {
                mstore(0x00, 0x7448fbae) // `NewOwnerIsZeroAddress()`.
                revert(0x1c, 0x04)
            }
        }
        _setOwner(newOwner);
    }

    /// @dev Allows the owner to renounce their ownership.
    function renounceOwnership() public payable virtual onlyOwner {
        _setOwner(address(0));
    }

    /// @dev Request a two-step ownership handover to the caller.
    /// The request will automatically expire in 48 hours (172800 seconds) by default.
    function requestOwnershipHandover() public payable virtual {
        unchecked {
            uint256 expires = block.timestamp + _ownershipHandoverValidFor();
            /// @solidity memory-safe-assembly
            assembly {
                // Compute and set the handover slot to `expires`.
                mstore(0x0c, _HANDOVER_SLOT_SEED)
                mstore(0x00, caller())
                sstore(keccak256(0x0c, 0x20), expires)
                // Emit the {OwnershipHandoverRequested} event.
                log2(0, 0, _OWNERSHIP_HANDOVER_REQUESTED_EVENT_SIGNATURE, caller())
            }
        }
    }

    /// @dev Cancels the two-step ownership handover to the caller, if any.
    function cancelOwnershipHandover() public payable virtual {
        /// @solidity memory-safe-assembly
        assembly {
            // Compute and set the handover slot to 0.
            mstore(0x0c, _HANDOVER_SLOT_SEED)
            mstore(0x00, caller())
            sstore(keccak256(0x0c, 0x20), 0)
            // Emit the {OwnershipHandoverCanceled} event.
            log2(0, 0, _OWNERSHIP_HANDOVER_CANCELED_EVENT_SIGNATURE, caller())
        }
    }

    /// @dev Allows the owner to complete the two-step ownership handover to `pendingOwner`.
    /// Reverts if there is no existing ownership handover requested by `pendingOwner`.
    function completeOwnershipHandover(address pendingOwner) public payable virtual onlyOwner {
        /// @solidity memory-safe-assembly
        assembly {
            // Compute and set the handover slot to 0.
            mstore(0x0c, _HANDOVER_SLOT_SEED)
            mstore(0x00, pendingOwner)
            let handoverSlot := keccak256(0x0c, 0x20)
            // If the handover does not exist, or has expired.
            if gt(timestamp(), sload(handoverSlot)) {
                mstore(0x00, 0x6f5e8818) // `NoHandoverRequest()`.
                revert(0x1c, 0x04)
            }
            // Set the handover slot to 0.
            sstore(handoverSlot, 0)
        }
        _setOwner(pendingOwner);
    }

    /*´:°•.°+.*•´.*:˚.°*.˚•´.°:°•.°•.*•´.*:˚.°*.˚•´.°:°•.°+.*•´.*:*/
    /*                   PUBLIC READ FUNCTIONS                    */
    /*.•°:°.´+˚.*°.˚:*.´•*.+°.•°:´*.´•*.•°.•°:°.´:•˚°.*°.˚:*.´+°.•*/

    /// @dev Returns the owner of the contract.
    function owner() public view virtual returns (address result) {
        /// @solidity memory-safe-assembly
        assembly {
            result := sload(_OWNER_SLOT)
        }
    }

    /// @dev Returns the expiry timestamp for the two-step ownership handover to `pendingOwner`.
    function ownershipHandoverExpiresAt(address pendingOwner)
        public
        view
        virtual
        returns (uint256 result)
    {
        /// @solidity memory-safe-assembly
        assembly {
            // Compute the handover slot.
            mstore(0x0c, _HANDOVER_SLOT_SEED)
            mstore(0x00, pendingOwner)
            // Load the handover slot.
            result := sload(keccak256(0x0c, 0x20))
        }
    }

    /*´:°•.°+.*•´.*:˚.°*.˚•´.°:°•.°•.*•´.*:˚.°*.˚•´.°:°•.°+.*•´.*:*/
    /*                         MODIFIERS                          */
    /*.•°:°.´+˚.*°.˚:*.´•*.+°.•°:´*.´•*.•°.•°:°.´:•˚°.*°.˚:*.´+°.•*/

    /// @dev Marks a function as only callable by the owner.
    modifier onlyOwner() virtual {
        _checkOwner();
        _;
    }
}


// SPDX-License-Identifier: MIT
pragma solidity ^0.8.4;

/// @notice Simple ERC2981 NFT Royalty Standard implementation.
/// @author Solady (https://github.com/vectorized/solady/blob/main/src/tokens/ERC2981.sol)
/// @author Modified from OpenZeppelin (https://github.com/OpenZeppelin/openzeppelin-contracts/blob/master/contracts/token/common/ERC2981.sol)
abstract contract ERC2981 {
    /*´:°•.°+.*•´.*:˚.°*.˚•´.°:°•.°•.*•´.*:˚.°*.˚•´.°:°•.°+.*•´.*:*/
    /*                       CUSTOM ERRORS                        */
    /*.•°:°.´+˚.*°.˚:*.´•*.+°.•°:´*.´•*.•°.•°:°.´:•˚°.*°.˚:*.´+°.•*/

    /// @dev The royalty fee numerator exceeds the fee denominator.
    error RoyaltyOverflow();

    /// @dev The royalty receiver cannot be the zero address.
    error RoyaltyReceiverIsZeroAddress();

    /*´:°•.°+.*•´.*:˚.°*.˚•´.°:°•.°•.*•´.*:˚.°*.˚•´.°:°•.°+.*•´.*:*/
    /*                          STORAGE                           */
    /*.•°:°.´+˚.*°.˚:*.´•*.+°.•°:´*.´•*.•°.•°:°.´:•˚°.*°.˚:*.´+°.•*/

    /// @dev The default royalty info is given by:
    /// ```
    ///     let packed := sload(_ERC2981_MASTER_SLOT_SEED)
    ///     let receiver := shr(96, packed)
    ///     let royaltyFraction := xor(packed, shl(96, receiver))
    /// ```
    ///
    /// The per token royalty info is given by.
    /// ```
    ///     mstore(0x00, tokenId)
    ///     mstore(0x20, _ERC2981_MASTER_SLOT_SEED)
    ///     let packed := sload(keccak256(0x00, 0x40))
    ///     let receiver := shr(96, packed)
    ///     let royaltyFraction := xor(packed, shl(96, receiver))
    /// ```
    uint256 private constant _ERC2981_MASTER_SLOT_SEED = 0xaa4ec00224afccfdb7;

    /*´:°•.°+.*•´.*:˚.°*.˚•´.°:°•.°•.*•´.*:˚.°*.˚•´.°:°•.°+.*•´.*:*/
    /*                          ERC2981                           */
    /*.•°:°.´+˚.*°.˚:*.´•*.+°.•°:´*.´•*.•°.•°:°.´:•˚°.*°.˚:*.´+°.•*/

    /// @dev Checks that `_feeDenominator` is non-zero.
    constructor() {
        require(_feeDenominator() != 0, "Fee denominator cannot be zero.");
    }

    /// @dev Returns the denominator for the royalty amount.
    /// Defaults to 10000, which represents fees in basis points.
    /// Override this function to return a custom amount if needed.
    function _feeDenominator() internal pure virtual returns (uint96) {
        return 10000;
    }

    /// @dev Returns true if this contract implements the interface defined by `interfaceId`.
    /// See: https://eips.ethereum.org/EIPS/eip-165
    /// This function call must use less than 30000 gas.
    function supportsInterface(bytes4 interfaceId) public view virtual returns (bool result) {
        /// @solidity memory-safe-assembly
        assembly {
            let s := shr(224, interfaceId)
            // ERC165: 0x01ffc9a7, ERC2981: 0x2a55205a.
            result := or(eq(s, 0x01ffc9a7), eq(s, 0x2a55205a))
        }
    }

    /// @dev Returns the `receiver` and `royaltyAmount` for `tokenId` sold at `salePrice`.
    function royaltyInfo(uint256 tokenId, uint256 salePrice)
        public
        view
        virtual
        returns (address receiver, uint256 royaltyAmount)
    {
        uint256 feeDenominator = _feeDenominator();
        /// @solidity memory-safe-assembly
        assembly {
            mstore(0x00, tokenId)
            mstore(0x20, _ERC2981_MASTER_SLOT_SEED)
            let packed := sload(keccak256(0x00, 0x40))
            receiver := shr(96, packed)
            if iszero(receiver) {
                packed := sload(mload(0x20))
                receiver := shr(96, packed)
            }
            let x := salePrice
            let y := xor(packed, shl(96, receiver)) // `feeNumerator`.
            // Overflow check, equivalent to `require(y == 0 || x <= type(uint256).max / y)`.
            // Out-of-gas revert. Should not be triggered in practice, but included for safety.
            returndatacopy(returndatasize(), returndatasize(), mul(y, gt(x, div(not(0), y))))
            royaltyAmount := div(mul(x, y), feeDenominator)
        }
    }

    /// @dev Sets the default royalty `receiver` and `feeNumerator`.
    ///
    /// Requirements:
    /// - `receiver` must not be the zero address.
    /// - `feeNumerator` must not be greater than the fee denominator.
    function _setDefaultRoyalty(address receiver, uint96 feeNumerator) internal virtual {
        uint256 feeDenominator = _feeDenominator();
        /// @solidity memory-safe-assembly
        assembly {
            feeNumerator := shr(160, shl(160, feeNumerator))
            if gt(feeNumerator, feeDenominator) {
                mstore(0x00, 0x350a88b3) // `RoyaltyOverflow()`.
                revert(0x1c, 0x04)
            }
            let packed := shl(96, receiver)
            if iszero(packed) {
                mstore(0x00, 0xb4457eaa) // `RoyaltyReceiverIsZeroAddress()`.
                revert(0x1c, 0x04)
            }
            sstore(_ERC2981_MASTER_SLOT_SEED, or(packed, feeNumerator))
        }
    }

    /// @dev Sets the default royalty `receiver` and `feeNumerator` to zero.
    function _deleteDefaultRoyalty() internal virtual {
        /// @solidity memory-safe-assembly
        assembly {
            sstore(_ERC2981_MASTER_SLOT_SEED, 0)
        }
    }

    /// @dev Sets the royalty `receiver` and `feeNumerator` for `tokenId`.
    ///
    /// Requirements:
    /// - `receiver` must not be the zero address.
    /// - `feeNumerator` must not be greater than the fee denominator.
    function _setTokenRoyalty(uint256 tokenId, address receiver, uint96 feeNumerator)
        internal
        virtual
    {
        uint256 feeDenominator = _feeDenominator();
        /// @solidity memory-safe-assembly
        assembly {
            feeNumerator := shr(160, shl(160, feeNumerator))
            if gt(feeNumerator, feeDenominator) {
                mstore(0x00, 0x350a88b3) // `RoyaltyOverflow()`.
                revert(0x1c, 0x04)
            }
            let packed := shl(96, receiver)
            if iszero(packed) {
                mstore(0x00, 0xb4457eaa) // `RoyaltyReceiverIsZeroAddress()`.
                revert(0x1c, 0x04)
            }
            mstore(0x00, tokenId)
            mstore(0x20, _ERC2981_MASTER_SLOT_SEED)
            sstore(keccak256(0x00, 0x40), or(packed, feeNumerator))
        }
    }

    /// @dev Sets the royalty `receiver` and `feeNumerator` for `tokenId` to zero.
    function _resetTokenRoyalty(uint256 tokenId) internal virtual {
        /// @solidity memory-safe-assembly
        assembly {
            mstore(0x00, tokenId)
            mstore(0x20, _ERC2981_MASTER_SLOT_SEED)
            sstore(keccak256(0x00, 0x40), 0)
        }
    }
}


// SPDX-License-Identifier: MIT
pragma solidity ^0.8.4;

import {ERC20} from "./ERC20.sol";

/// @notice Simple Wrapped Ether implementation.
/// @author Solady (https://github.com/vectorized/solady/blob/main/src/tokens/WETH.sol)
/// @author Solmate (https://github.com/transmissions11/solmate/blob/main/src/tokens/WETH.sol)
/// @author Inspired by WETH9 (https://github.com/dapphub/ds-weth/blob/master/src/weth9.sol)
contract WETH is ERC20 {
    /*´:°•.°+.*•´.*:˚.°*.˚•´.°:°•.°•.*•´.*:˚.°*.˚•´.°:°•.°+.*•´.*:*/
    /*                       CUSTOM ERRORS                        */
    /*.•°:°.´+˚.*°.˚:*.´•*.+°.•°:´*.´•*.•°.•°:°.´:•˚°.*°.˚:*.´+°.•*/

    /// @dev The ETH transfer has failed.
    error ETHTransferFailed();

    /*´:°•.°+.*•´.*:˚.°*.˚•´.°:°•.°•.*•´.*:˚.°*.˚•´.°:°•.°+.*•´.*:*/
    /*                           EVENTS                           */
    /*.•°:°.´+˚.*°.˚:*.´•*.+°.•°:´*.´•*.•°.•°:°.´:•˚°.*°.˚:*.´+°.•*/

    /// @dev Emitted when `amount` is deposited from `from`.
    event Deposit(address indexed from, uint256 amount);

    /// @dev Emitted when `amount` is withdrawn to `to`.
    event Withdrawal(address indexed to, uint256 amount);

    /// @dev `keccak256(bytes("Deposit(address,uint256)"))`.
    uint256 private constant _DEPOSIT_EVENT_SIGNATURE =
        0xe1fffcc4923d04b559f4d29a8bfc6cda04eb5b0d3c460751c2402c5c5cc9109c;

    /// @dev `keccak256(bytes("Withdrawal(address,uint256)"))`.
    uint256 private constant _WITHDRAWAL_EVENT_SIGNATURE =
        0x7fcf532c15f0a6db0bd6d0e038bea71d30d808c7d98cb3bf7268a95bf5081b65;

    /*´:°•.°+.*•´.*:˚.°*.˚•´.°:°•.°•.*•´.*:˚.°*.˚•´.°:°•.°+.*•´.*:*/
    /*                       ERC20 METADATA                       */
    /*.•°:°.´+˚.*°.˚:*.´•*.+°.•°:´*.´•*.•°.•°:°.´:•˚°.*°.˚:*.´+°.•*/

    /// @dev Returns the name of the token.
    function name() public view virtual override returns (string memory) {
        return "Wrapped Ether";
    }

    /// @dev Returns the symbol of the token.
    function symbol() public view virtual override returns (string memory) {
        return "WETH";
    }

    /*´:°•.°+.*•´.*:˚.°*.˚•´.°:°•.°•.*•´.*:˚.°*.˚•´.°:°•.°+.*•´.*:*/
    /*                            WETH                            */
    /*.•°:°.´+˚.*°.˚:*.´•*.+°.•°:´*.´•*.•°.•°:°.´:•˚°.*°.˚:*.´+°.•*/

    /// @dev Deposits `amount` ETH of the caller and mints `amount` WETH to the caller.
    ///
    /// Emits a {Deposit} event.
    function deposit() public payable virtual {
        _mint(msg.sender, msg.value);
        /// @solidity memory-safe-assembly
        assembly {
            // Emit the {Deposit} event.
            mstore(0x00, callvalue())
            log2(0x00, 0x20, _DEPOSIT_EVENT_SIGNATURE, caller())
        }
    }

    /// @dev Burns `amount` WETH of the caller and sends `amount` ETH to the caller.
    ///
    /// Emits a {Withdrawal} event.
    function withdraw(uint256 amount) public virtual {
        _burn(msg.sender, amount);
        /// @solidity memory-safe-assembly
        assembly {
            // Emit the {Withdrawal} event.
            mstore(0x00, amount)
            log2(0x00, 0x20, _WITHDRAWAL_EVENT_SIGNATURE, caller())
            // Transfer the ETH and check if it succeeded or not.
            if iszero(call(gas(), caller(), amount, codesize(), 0x00, codesize(), 0x00)) {
                mstore(0x00, 0xb12d13eb) // `ETHTransferFailed()`.
                revert(0x1c, 0x04)
            }
        }
    }

    /// @dev Equivalent to `deposit()`.
    receive() external payable virtual {
        deposit();
    }
}


// SPDX-License-Identifier: MIT
pragma solidity ^0.8.4;

/// @notice Library to encode strings in Base64.
/// @author Solady (https://github.com/vectorized/solady/blob/main/src/utils/Base64.sol)
/// @author Modified from Solmate (https://github.com/transmissions11/solmate/blob/main/src/utils/Base64.sol)
/// @author Modified from (https://github.com/Brechtpd/base64/blob/main/base64.sol) by Brecht Devos - <brecht@loopring.org>.
library Base64 {
    /// @dev Encodes `data` using the base64 encoding described in RFC 4648.
    /// See: https://datatracker.ietf.org/doc/html/rfc4648
    /// @param fileSafe  Whether to replace '+' with '-' and '/' with '_'.
    /// @param noPadding Whether to strip away the padding.
    function encode(bytes memory data, bool fileSafe, bool noPadding)
        internal
        pure
        returns (string memory result)
    {
        /// @solidity memory-safe-assembly
        assembly {
            let dataLength := mload(data)

            if dataLength {
                // Multiply by 4/3 rounded up.
                // The `shl(2, ...)` is equivalent to multiplying by 4.
                let encodedLength := shl(2, div(add(dataLength, 2), 3))

                // Set `result` to point to the start of the free memory.
                result := mload(0x40)

                // Store the table into the scratch space.
                // Offsetted by -1 byte so that the `mload` will load the character.
                // We will rewrite the free memory pointer at `0x40` later with
                // the allocated size.
                // The magic constant 0x0670 will turn "-_" into "+/".
                mstore(0x1f, "ABCDEFGHIJKLMNOPQRSTUVWXYZabcdef")
                mstore(0x3f, xor("ghijklmnopqrstuvwxyz0123456789-_", mul(iszero(fileSafe), 0x0670)))

                // Skip the first slot, which stores the length.
                let ptr := add(result, 0x20)
                let end := add(ptr, encodedLength)

                // Run over the input, 3 bytes at a time.
                for {} 1 {} {
                    data := add(data, 3) // Advance 3 bytes.
                    let input := mload(data)

                    // Write 4 bytes. Optimized for fewer stack operations.
                    mstore8(0, mload(and(shr(18, input), 0x3F)))
                    mstore8(1, mload(and(shr(12, input), 0x3F)))
                    mstore8(2, mload(and(shr(6, input), 0x3F)))
                    mstore8(3, mload(and(input, 0x3F)))
                    mstore(ptr, mload(0x00))

                    ptr := add(ptr, 4) // Advance 4 bytes.
                    if iszero(lt(ptr, end)) { break }
                }
                mstore(0x40, add(end, 0x20)) // Allocate the memory.
                // Equivalent to `o = [0, 2, 1][dataLength % 3]`.
                let o := div(2, mod(dataLength, 3))
                // Offset `ptr` and pad with '='. We can simply write over the end.
                mstore(sub(ptr, o), shl(240, 0x3d3d))
                // Set `o` to zero if there is padding.
                o := mul(iszero(iszero(noPadding)), o)
                mstore(sub(ptr, o), 0) // Zeroize the slot after the string.
                mstore(result, sub(encodedLength, o)) // Store the length.
            }
        }
    }

    /// @dev Encodes `data` using the base64 encoding described in RFC 4648.
    /// Equivalent to `encode(data, false, false)`.
    function encode(bytes memory data) internal pure returns (string memory result) {
        result = encode(data, false, false);
    }

    /// @dev Encodes `data` using the base64 encoding described in RFC 4648.
    /// Equivalent to `encode(data, fileSafe, false)`.
    function encode(bytes memory data, bool fileSafe)
        internal
        pure
        returns (string memory result)
    {
        result = encode(data, fileSafe, false);
    }

    /// @dev Decodes base64 encoded `data`.
    ///
    /// Supports:
    /// - RFC 4648 (both standard and file-safe mode).
    /// - RFC 3501 (63: ',').
    ///
    /// Does not support:
    /// - Line breaks.
    ///
    /// Note: For performance reasons,
    /// this function will NOT revert on invalid `data` inputs.
    /// Outputs for invalid inputs will simply be undefined behaviour.
    /// It is the user's responsibility to ensure that the `data`
    /// is a valid base64 encoded string.
    function decode(string memory data) internal pure returns (bytes memory result) {
        /// @solidity memory-safe-assembly
        assembly {
            let dataLength := mload(data)

            if dataLength {
                let decodedLength := mul(shr(2, dataLength), 3)

                for {} 1 {} {
                    // If padded.
                    if iszero(and(dataLength, 3)) {
                        let t := xor(mload(add(data, dataLength)), 0x3d3d)
                        // forgefmt: disable-next-item
                        decodedLength := sub(
                            decodedLength,
                            add(iszero(byte(30, t)), iszero(byte(31, t)))
                        )
                        break
                    }
                    // If non-padded.
                    decodedLength := add(decodedLength, sub(and(dataLength, 3), 1))
                    break
                }
                result := mload(0x40)

                // Write the length of the bytes.
                mstore(result, decodedLength)

                // Skip the first slot, which stores the length.
                let ptr := add(result, 0x20)
                let end := add(ptr, decodedLength)

                // Load the table into the scratch space.
                // Constants are optimized for smaller bytecode with zero gas overhead.
                // `m` also doubles as the mask of the upper 6 bits.
                let m := 0xfc000000fc00686c7074787c8084888c9094989ca0a4a8acb0b4b8bcc0c4c8cc
                mstore(0x5b, m)
                mstore(0x3b, 0x04080c1014181c2024282c3034383c4044484c5054585c6064)
                mstore(0x1a, 0xf8fcf800fcd0d4d8dce0e4e8ecf0f4)

                for {} 1 {} {
                    // Read 4 bytes.
                    data := add(data, 4)
                    let input := mload(data)

                    // Write 3 bytes.
                    // forgefmt: disable-next-item
                    mstore(ptr, or(
                        and(m, mload(byte(28, input))),
                        shr(6, or(
                            and(m, mload(byte(29, input))),
                            shr(6, or(
                                and(m, mload(byte(30, input))),
                                shr(6, mload(byte(31, input)))
                            ))
                        ))
                    ))
                    ptr := add(ptr, 3)
                    if iszero(lt(ptr, end)) { break }
                }
                mstore(0x40, add(end, 0x20)) // Allocate the memory.
                mstore(end, 0) // Zeroize the slot after the bytes.
                mstore(0x60, 0) // Restore the zero slot.
            }
        }
    }
}


// SPDX-License-Identifier: MIT
pragma solidity ^0.8.4;

/// @notice Deploy to deterministic addresses without an initcode factor.
/// @author Solady (https://github.com/vectorized/solmady/blob/main/src/utils/CREATE3.sol)
/// @author Modified from Solmate (https://github.com/transmissions11/solmate/blob/main/src/utils/CREATE3.sol)
/// @author Modified from 0xSequence (https://github.com/0xSequence/create3/blob/master/contracts/Create3.sol)
library CREATE3 {
    /*´:°•.°+.*•´.*:˚.°*.˚•´.°:°•.°•.*•´.*:˚.°*.˚•´.°:°•.°+.*•´.*:*/
    /*                        CUSTOM ERRORS                       */
    /*.•°:°.´+˚.*°.˚:*.´•*.+°.•°:´*.´•*.•°.•°:°.´:•˚°.*°.˚:*.´+°.•*/

    /// @dev Unable to deploy the contract.
    error DeploymentFailed();

    /// @dev Unable to initialize the contract.
    error InitializationFailed();

    /*´:°•.°+.*•´.*:˚.°*.˚•´.°:°•.°•.*•´.*:˚.°*.˚•´.°:°•.°+.*•´.*:*/
    /*                      BYTECODE CONSTANTS                    */
    /*.•°:°.´+˚.*°.˚:*.´•*.+°.•°:´*.´•*.•°.•°:°.´:•˚°.*°.˚:*.´+°.•*/

    /**
     * -------------------------------------------------------------------+
     * Opcode      | Mnemonic         | Stack        | Memory             |
     * -------------------------------------------------------------------|
     * 36          | CALLDATASIZE     | cds          |                    |
     * 3d          | RETURNDATASIZE   | 0 cds        |                    |
     * 3d          | RETURNDATASIZE   | 0 0 cds      |                    |
     * 37          | CALLDATACOPY     |              | [0..cds): calldata |
     * 36          | CALLDATASIZE     | cds          | [0..cds): calldata |
     * 3d          | RETURNDATASIZE   | 0 cds        | [0..cds): calldata |
     * 34          | CALLVALUE        | value 0 cds  | [0..cds): calldata |
     * f0          | CREATE           | newContract  | [0..cds): calldata |
     * -------------------------------------------------------------------|
     * Opcode      | Mnemonic         | Stack        | Memory             |
     * -------------------------------------------------------------------|
     * 67 bytecode | PUSH8 bytecode   | bytecode     |                    |
     * 3d          | RETURNDATASIZE   | 0 bytecode   |                    |
     * 52          | MSTORE           |              | [0..8): bytecode   |
     * 60 0x08     | PUSH1 0x08       | 0x08         | [0..8): bytecode   |
     * 60 0x18     | PUSH1 0x18       | 0x18 0x08    | [0..8): bytecode   |
     * f3          | RETURN           |              | [0..8): bytecode   |
     * -------------------------------------------------------------------+
     */

    /// @dev The proxy bytecode.
    uint256 private constant _PROXY_BYTECODE = 0x67363d3d37363d34f03d5260086018f3;

    /// @dev Hash of the `_PROXY_BYTECODE`.
    /// Equivalent to `keccak256(abi.encodePacked(hex"67363d3d37363d34f03d5260086018f3"))`.
    bytes32 private constant _PROXY_BYTECODE_HASH =
        0x21c35dbe1b344a2488cf3321d6ce542f8e9f305544ff09e4993a62319a497c1f;

    /*´:°•.°+.*•´.*:˚.°*.˚•´.°:°•.°•.*•´.*:˚.°*.˚•´.°:°•.°+.*•´.*:*/
    /*                      CREATE3 OPERATIONS                    */
    /*.•°:°.´+˚.*°.˚:*.´•*.+°.•°:´*.´•*.•°.•°:°.´:•˚°.*°.˚:*.´+°.•*/

    /// @dev Deploys `creationCode` deterministically with a `salt`.
    /// The deployed contract is funded with `value` (in wei) ETH.
    /// Returns the deterministic address of the deployed contract,
    /// which solely depends on `salt`.
    function deploy(bytes32 salt, bytes memory creationCode, uint256 value)
        internal
        returns (address deployed)
    {
        /// @solidity memory-safe-assembly
        assembly {
            // Store the `_PROXY_BYTECODE` into scratch space.
            mstore(0x00, _PROXY_BYTECODE)
            // Deploy a new contract with our pre-made bytecode via CREATE2.
            let proxy := create2(0, 0x10, 0x10, salt)

            // If the result of `create2` is the zero address, revert.
            if iszero(proxy) {
                // Store the function selector of `DeploymentFailed()`.
                mstore(0x00, 0x30116425)
                // Revert with (offset, size).
                revert(0x1c, 0x04)
            }

            // Store the proxy's address.
            mstore(0x14, proxy)
            // 0xd6 = 0xc0 (short RLP prefix) + 0x16 (length of: 0x94 ++ proxy ++ 0x01).
            // 0x94 = 0x80 + 0x14 (0x14 = the length of an address, 20 bytes, in hex).
            mstore(0x00, 0xd694)
            // Nonce of the proxy contract (1).
            mstore8(0x34, 0x01)

            deployed := keccak256(0x1e, 0x17)

            // If the `call` fails, revert.
            if iszero(
                call(
                    gas(), // Gas remaining.
                    proxy, // Proxy's address.
                    value, // Ether value.
                    add(creationCode, 0x20), // Start of `creationCode`.
                    mload(creationCode), // Length of `creationCode`.
                    0x00, // Offset of output.
                    0x00 // Length of output.
                )
            ) {
                // Store the function selector of `InitializationFailed()`.
                mstore(0x00, 0x19b991a8)
                // Revert with (offset, size).
                revert(0x1c, 0x04)
            }

            // If the code size of `deployed` is zero, revert.
            if iszero(extcodesize(deployed)) {
                // Store the function selector of `InitializationFailed()`.
                mstore(0x00, 0x19b991a8)
                // Revert with (offset, size).
                revert(0x1c, 0x04)
            }
        }
    }

    /// @dev Returns the deterministic address for `salt` with `deployer`.
    function getDeployed(bytes32 salt, address deployer) internal pure returns (address deployed) {
        /// @solidity memory-safe-assembly
        assembly {
            // Cache the free memory pointer.
            let m := mload(0x40)
            // Store `deployer`.
            mstore(0x00, deployer)
            // Store the prefix.
            mstore8(0x0b, 0xff)
            // Store the salt.
            mstore(0x20, salt)
            // Store the bytecode hash.
            mstore(0x40, _PROXY_BYTECODE_HASH)

            // Store the proxy's address.
            mstore(0x14, keccak256(0x0b, 0x55))
            // Restore the free memory pointer.
            mstore(0x40, m)
            // 0xd6 = 0xc0 (short RLP prefix) + 0x16 (length of: 0x94 ++ proxy ++ 0x01).
            // 0x94 = 0x80 + 0x14 (0x14 = the length of an address, 20 bytes, in hex).
            mstore(0x00, 0xd694)
            // Nonce of the proxy contract (1).
            mstore8(0x34, 0x01)

            deployed := keccak256(0x1e, 0x17)
        }
    }

    /// @dev Returns the deterministic address for `salt`.
    function getDeployed(bytes32 salt) internal view returns (address deployed) {
        deployed = getDeployed(salt, address(this));
    }
}


// SPDX-License-Identifier: MIT
pragma solidity ^0.8.4;

/// @notice Class with helper read functions for clone with immutable args.
/// @author Solady (https://github.com/vectorized/solady/blob/main/src/utils/Clone.sol)
/// @author Adapted from clones with immutable args by zefram.eth, Saw-mon & Natalie
/// (https://github.com/Saw-mon-and-Natalie/clones-with-immutable-args)
abstract contract Clone {
    /// @dev Reads all of the immutable args.
    function _getArgBytes() internal pure returns (bytes memory arg) {
        uint256 offset = _getImmutableArgsOffset();
        /// @solidity memory-safe-assembly
        assembly {
            arg := mload(0x40)
            let length := sub(calldatasize(), add(2, offset)) // 2 bytes are used for the length.
            mstore(arg, length) // Store the length.
            calldatacopy(add(arg, 0x20), offset, length)
            let o := add(add(arg, 0x20), length)
            mstore(o, 0) // Zeroize the slot after the bytes.
            mstore(0x40, add(o, 0x20)) // Allocate the memory.
        }
    }

    /// @dev Reads an immutable arg with type bytes.
    function _getArgBytes(uint256 argOffset, uint256 length)
        internal
        pure
        returns (bytes memory arg)
    {
        uint256 offset = _getImmutableArgsOffset();
        /// @solidity memory-safe-assembly
        assembly {
            arg := mload(0x40)
            mstore(arg, length) // Store the length.
            calldatacopy(add(arg, 0x20), add(offset, argOffset), length)
            let o := add(add(arg, 0x20), length)
            mstore(o, 0) // Zeroize the slot after the bytes.
            mstore(0x40, add(o, 0x20)) // Allocate the memory.
        }
    }

    /// @dev Reads an immutable arg with type address.
    function _getArgAddress(uint256 argOffset) internal pure returns (address arg) {
        uint256 offset = _getImmutableArgsOffset();
        /// @solidity memory-safe-assembly
        assembly {
            arg := shr(96, calldataload(add(offset, argOffset)))
        }
    }

    /// @dev Reads a uint256 array stored in the immutable args.
    function _getArgUint256Array(uint256 argOffset, uint256 length)
        internal
        pure
        returns (uint256[] memory arg)
    {
        uint256 offset = _getImmutableArgsOffset();
        /// @solidity memory-safe-assembly
        assembly {
            arg := mload(0x40)
            mstore(arg, length) // Store the length.
            calldatacopy(add(arg, 0x20), add(offset, argOffset), shl(5, length))
            mstore(0x40, add(add(arg, 0x20), shl(5, length))) // Allocate the memory.
        }
    }

    /// @dev Reads a bytes32 array stored in the immutable args.
    function _getArgBytes32Array(uint256 argOffset, uint256 length)
        internal
        pure
        returns (bytes32[] memory arg)
    {
        uint256 offset = _getImmutableArgsOffset();
        /// @solidity memory-safe-assembly
        assembly {
            arg := mload(0x40)
            mstore(arg, length) // Store the length.
            calldatacopy(add(arg, 0x20), add(offset, argOffset), shl(5, length))
            mstore(0x40, add(add(arg, 0x20), shl(5, length))) // Allocate the memory.
        }
    }

    /// @dev Reads an immutable arg with type bytes32.
    function _getArgBytes32(uint256 argOffset) internal pure returns (bytes32 arg) {
        uint256 offset = _getImmutableArgsOffset();
        /// @solidity memory-safe-assembly
        assembly {
            arg := calldataload(add(offset, argOffset))
        }
    }

    /// @dev Reads an immutable arg with type uint256.
    function _getArgUint256(uint256 argOffset) internal pure returns (uint256 arg) {
        uint256 offset = _getImmutableArgsOffset();
        /// @solidity memory-safe-assembly
        assembly {
            arg := calldataload(add(offset, argOffset))
        }
    }

    /// @dev Reads an immutable arg with type uint248.
    function _getArgUint248(uint256 argOffset) internal pure returns (uint248 arg) {
        uint256 offset = _getImmutableArgsOffset();
        /// @solidity memory-safe-assembly
        assembly {
            arg := shr(8, calldataload(add(offset, argOffset)))
        }
    }

    /// @dev Reads an immutable arg with type uint240.
    function _getArgUint240(uint256 argOffset) internal pure returns (uint240 arg) {
        uint256 offset = _getImmutableArgsOffset();
        /// @solidity memory-safe-assembly
        assembly {
            arg := shr(16, calldataload(add(offset, argOffset)))
        }
    }

    /// @dev Reads an immutable arg with type uint232.
    function _getArgUint232(uint256 argOffset) internal pure returns (uint232 arg) {
        uint256 offset = _getImmutableArgsOffset();
        /// @solidity memory-safe-assembly
        assembly {
            arg := shr(24, calldataload(add(offset, argOffset)))
        }
    }

    /// @dev Reads an immutable arg with type uint224.
    function _getArgUint224(uint256 argOffset) internal pure returns (uint224 arg) {
        uint256 offset = _getImmutableArgsOffset();
        /// @solidity memory-safe-assembly
        assembly {
            arg := shr(0x20, calldataload(add(offset, argOffset)))
        }
    }

    /// @dev Reads an immutable arg with type uint216.
    function _getArgUint216(uint256 argOffset) internal pure returns (uint216 arg) {
        uint256 offset = _getImmutableArgsOffset();
        /// @solidity memory-safe-assembly
        assembly {
            arg := shr(40, calldataload(add(offset, argOffset)))
        }
    }

    /// @dev Reads an immutable arg with type uint208.
    function _getArgUint208(uint256 argOffset) internal pure returns (uint208 arg) {
        uint256 offset = _getImmutableArgsOffset();
        /// @solidity memory-safe-assembly
        assembly {
            arg := shr(48, calldataload(add(offset, argOffset)))
        }
    }

    /// @dev Reads an immutable arg with type uint200.
    function _getArgUint200(uint256 argOffset) internal pure returns (uint200 arg) {
        uint256 offset = _getImmutableArgsOffset();
        /// @solidity memory-safe-assembly
        assembly {
            arg := shr(56, calldataload(add(offset, argOffset)))
        }
    }

    /// @dev Reads an immutable arg with type uint192.
    function _getArgUint192(uint256 argOffset) internal pure returns (uint192 arg) {
        uint256 offset = _getImmutableArgsOffset();
        /// @solidity memory-safe-assembly
        assembly {
            arg := shr(64, calldataload(add(offset, argOffset)))
        }
    }

    /// @dev Reads an immutable arg with type uint184.
    function _getArgUint184(uint256 argOffset) internal pure returns (uint184 arg) {
        uint256 offset = _getImmutableArgsOffset();
        /// @solidity memory-safe-assembly
        assembly {
            arg := shr(72, calldataload(add(offset, argOffset)))
        }
    }

    /// @dev Reads an immutable arg with type uint176.
    function _getArgUint176(uint256 argOffset) internal pure returns (uint176 arg) {
        uint256 offset = _getImmutableArgsOffset();
        /// @solidity memory-safe-assembly
        assembly {
            arg := shr(80, calldataload(add(offset, argOffset)))
        }
    }

    /// @dev Reads an immutable arg with type uint168.
    function _getArgUint168(uint256 argOffset) internal pure returns (uint168 arg) {
        uint256 offset = _getImmutableArgsOffset();
        /// @solidity memory-safe-assembly
        assembly {
            arg := shr(88, calldataload(add(offset, argOffset)))
        }
    }

    /// @dev Reads an immutable arg with type uint160.
    function _getArgUint160(uint256 argOffset) internal pure returns (uint160 arg) {
        uint256 offset = _getImmutableArgsOffset();
        /// @solidity memory-safe-assembly
        assembly {
            arg := shr(96, calldataload(add(offset, argOffset)))
        }
    }

    /// @dev Reads an immutable arg with type uint152.
    function _getArgUint152(uint256 argOffset) internal pure returns (uint152 arg) {
        uint256 offset = _getImmutableArgsOffset();
        /// @solidity memory-safe-assembly
        assembly {
            arg := shr(104, calldataload(add(offset, argOffset)))
        }
    }

    /// @dev Reads an immutable arg with type uint144.
    function _getArgUint144(uint256 argOffset) internal pure returns (uint144 arg) {
        uint256 offset = _getImmutableArgsOffset();
        /// @solidity memory-safe-assembly
        assembly {
            arg := shr(112, calldataload(add(offset, argOffset)))
        }
    }

    /// @dev Reads an immutable arg with type uint136.
    function _getArgUint136(uint256 argOffset) internal pure returns (uint136 arg) {
        uint256 offset = _getImmutableArgsOffset();
        /// @solidity memory-safe-assembly
        assembly {
            arg := shr(120, calldataload(add(offset, argOffset)))
        }
    }

    /// @dev Reads an immutable arg with type uint128.
    function _getArgUint128(uint256 argOffset) internal pure returns (uint128 arg) {
        uint256 offset = _getImmutableArgsOffset();
        /// @solidity memory-safe-assembly
        assembly {
            arg := shr(128, calldataload(add(offset, argOffset)))
        }
    }

    /// @dev Reads an immutable arg with type uint120.
    function _getArgUint120(uint256 argOffset) internal pure returns (uint120 arg) {
        uint256 offset = _getImmutableArgsOffset();
        /// @solidity memory-safe-assembly
        assembly {
            arg := shr(136, calldataload(add(offset, argOffset)))
        }
    }

    /// @dev Reads an immutable arg with type uint112.
    function _getArgUint112(uint256 argOffset) internal pure returns (uint112 arg) {
        uint256 offset = _getImmutableArgsOffset();
        /// @solidity memory-safe-assembly
        assembly {
            arg := shr(144, calldataload(add(offset, argOffset)))
        }
    }

    /// @dev Reads an immutable arg with type uint104.
    function _getArgUint104(uint256 argOffset) internal pure returns (uint104 arg) {
        uint256 offset = _getImmutableArgsOffset();
        /// @solidity memory-safe-assembly
        assembly {
            arg := shr(152, calldataload(add(offset, argOffset)))
        }
    }

    /// @dev Reads an immutable arg with type uint96.
    function _getArgUint96(uint256 argOffset) internal pure returns (uint96 arg) {
        uint256 offset = _getImmutableArgsOffset();
        /// @solidity memory-safe-assembly
        assembly {
            arg := shr(160, calldataload(add(offset, argOffset)))
        }
    }

    /// @dev Reads an immutable arg with type uint88.
    function _getArgUint88(uint256 argOffset) internal pure returns (uint88 arg) {
        uint256 offset = _getImmutableArgsOffset();
        /// @solidity memory-safe-assembly
        assembly {
            arg := shr(168, calldataload(add(offset, argOffset)))
        }
    }

    /// @dev Reads an immutable arg with type uint80.
    function _getArgUint80(uint256 argOffset) internal pure returns (uint80 arg) {
        uint256 offset = _getImmutableArgsOffset();
        /// @solidity memory-safe-assembly
        assembly {
            arg := shr(176, calldataload(add(offset, argOffset)))
        }
    }

    /// @dev Reads an immutable arg with type uint72.
    function _getArgUint72(uint256 argOffset) internal pure returns (uint72 arg) {
        uint256 offset = _getImmutableArgsOffset();
        /// @solidity memory-safe-assembly
        assembly {
            arg := shr(184, calldataload(add(offset, argOffset)))
        }
    }

    /// @dev Reads an immutable arg with type uint64.
    function _getArgUint64(uint256 argOffset) internal pure returns (uint64 arg) {
        uint256 offset = _getImmutableArgsOffset();
        /// @solidity memory-safe-assembly
        assembly {
            arg := shr(192, calldataload(add(offset, argOffset)))
        }
    }

    /// @dev Reads an immutable arg with type uint56.
    function _getArgUint56(uint256 argOffset) internal pure returns (uint56 arg) {
        uint256 offset = _getImmutableArgsOffset();
        /// @solidity memory-safe-assembly
        assembly {
            arg := shr(200, calldataload(add(offset, argOffset)))
        }
    }

    /// @dev Reads an immutable arg with type uint48.
    function _getArgUint48(uint256 argOffset) internal pure returns (uint48 arg) {
        uint256 offset = _getImmutableArgsOffset();
        /// @solidity memory-safe-assembly
        assembly {
            arg := shr(208, calldataload(add(offset, argOffset)))
        }
    }

    /// @dev Reads an immutable arg with type uint40.
    function _getArgUint40(uint256 argOffset) internal pure returns (uint40 arg) {
        uint256 offset = _getImmutableArgsOffset();
        /// @solidity memory-safe-assembly
        assembly {
            arg := shr(216, calldataload(add(offset, argOffset)))
        }
    }

    /// @dev Reads an immutable arg with type uint32.
    function _getArgUint32(uint256 argOffset) internal pure returns (uint32 arg) {
        uint256 offset = _getImmutableArgsOffset();
        /// @solidity memory-safe-assembly
        assembly {
            arg := shr(224, calldataload(add(offset, argOffset)))
        }
    }

    /// @dev Reads an immutable arg with type uint24.
    function _getArgUint24(uint256 argOffset) internal pure returns (uint24 arg) {
        uint256 offset = _getImmutableArgsOffset();
        /// @solidity memory-safe-assembly
        assembly {
            arg := shr(232, calldataload(add(offset, argOffset)))
        }
    }

    /// @dev Reads an immutable arg with type uint16.
    function _getArgUint16(uint256 argOffset) internal pure returns (uint16 arg) {
        uint256 offset = _getImmutableArgsOffset();
        /// @solidity memory-safe-assembly
        assembly {
            arg := shr(240, calldataload(add(offset, argOffset)))
        }
    }

    /// @dev Reads an immutable arg with type uint8.
    function _getArgUint8(uint256 argOffset) internal pure returns (uint8 arg) {
        uint256 offset = _getImmutableArgsOffset();
        /// @solidity memory-safe-assembly
        assembly {
            arg := shr(248, calldataload(add(offset, argOffset)))
        }
    }

    /// @return offset The offset of the packed immutable args in calldata.
    function _getImmutableArgsOffset() internal pure returns (uint256 offset) {
        /// @solidity memory-safe-assembly
        assembly {
            offset := sub(calldatasize(), shr(240, calldataload(sub(calldatasize(), 2))))
        }
    }
}


// SPDX-License-Identifier: MIT
pragma solidity ^0.8.4;

/// @notice Library for buffers with automatic capacity resizing.
/// @author Solady (https://github.com/vectorized/solady/blob/main/src/utils/DynamicBuffer.sol)
/// @author Modified from cozyco (https://github.com/samkingco/cozyco/blob/main/contracts/utils/DynamicBuffer.sol)
library DynamicBufferLib {
    /*´:°•.°+.*•´.*:˚.°*.˚•´.°:°•.°•.*•´.*:˚.°*.˚•´.°:°•.°+.*•´.*:*/
    /*                          STRUCTS                           */
    /*.•°:°.´+˚.*°.˚:*.´•*.+°.•°:´*.´•*.•°.•°:°.´:•˚°.*°.˚:*.´+°.•*/

    /// @dev Type to represent a dynamic buffer in memory.
    /// You can directly assign to `data`, and the `p` function will
    /// take care of the memory allocation.
    struct DynamicBuffer {
        bytes data;
    }

    /*´:°•.°+.*•´.*:˚.°*.˚•´.°:°•.°•.*•´.*:˚.°*.˚•´.°:°•.°+.*•´.*:*/
    /*                         OPERATIONS                         */
    /*.•°:°.´+˚.*°.˚:*.´•*.+°.•°:´*.´•*.•°.•°:°.´:•˚°.*°.˚:*.´+°.•*/

    /// @dev Reserves at least `minimum` amount of contiguous memory.
    function reserve(DynamicBuffer memory buffer, uint256 minimum)
        internal
        pure
        returns (DynamicBuffer memory result)
    {
        _deallocate(result);
        result = buffer;
        uint256 n = buffer.data.length;
        if (minimum > n) {
            uint256 i = 0x40;
            do {} while ((i <<= 1) < minimum);
            bytes memory data;
            /// @solidity memory-safe-assembly
            assembly {
                data := 0x00
                mstore(data, sub(i, n))
            }
            result = p(result, data);
        }
    }

    /// @dev Clears the buffer without deallocating the memory.
    function clear(DynamicBuffer memory buffer)
        internal
        pure
        returns (DynamicBuffer memory result)
    {
        _deallocate(result);
        /// @solidity memory-safe-assembly
        assembly {
            mstore(mload(buffer), 0)
        }
        result = buffer;
    }

    /// @dev Returns a string pointing to the underlying bytes data.
    /// Note: The string WILL change if the buffer is updated.
    function s(DynamicBuffer memory buffer) internal pure returns (string memory) {
        return string(buffer.data);
    }

    /// @dev Appends `data` to `buffer`.
    /// Returns the same buffer, so that it can be used for function chaining.
    function p(DynamicBuffer memory buffer, bytes memory data)
        internal
        pure
        returns (DynamicBuffer memory result)
    {
        _deallocate(result);
        result = buffer;
        if (data.length == 0) return result;
        /// @solidity memory-safe-assembly
        assembly {
            let w := not(0x1f)
            let bufData := mload(buffer)
            let bufDataLen := mload(bufData)
            let newBufDataLen := add(mload(data), bufDataLen)
            // Some random prime number to multiply `cap`, so that
            // we know that the `cap` is for a dynamic buffer.
            // Selected to be larger than any memory pointer realistically.
            let prime := 1621250193422201
            let cap := mload(add(bufData, w)) // `mload(sub(bufData, 0x20))`.
            // Extract `cap`, initializing it to zero if it is not a multiple of `prime`.
            cap := mul(div(cap, prime), iszero(mod(cap, prime)))

            // Expand / Reallocate memory if required.
            // Note that we need to allocate an extra word for the length, and
            // and another extra word as a safety word (giving a total of 0x40 bytes).
            // Without the safety word, the backwards copying can cause a buffer overflow.
            for {} iszero(lt(newBufDataLen, cap)) {} {
                // Approximately more than double the capacity to ensure more than enough space.
                let newCap := and(add(cap, add(or(cap, newBufDataLen), 0x20)), w)
                // If the memory is contiguous, we can simply expand it.
                if iszero(or(xor(mload(0x40), add(bufData, add(0x40, cap))), eq(bufData, 0x60))) {
                    // Store `cap * prime` in the word before the length.
                    mstore(add(bufData, w), mul(prime, newCap))
                    mstore(0x40, add(bufData, add(0x40, newCap))) // Expand the memory allocation.
                    break
                }
                // Set the `newBufData` to point to the word after `cap`.
                let newBufData := add(mload(0x40), 0x20)
                mstore(0x40, add(newBufData, add(0x40, newCap))) // Reallocate the memory.
                mstore(buffer, newBufData) // Store the `newBufData`.
                // Copy `bufData` one word at a time, backwards.
                for { let o := and(add(bufDataLen, 0x20), w) } 1 {} {
                    mstore(add(newBufData, o), mload(add(bufData, o)))
                    o := add(o, w) // `sub(o, 0x20)`.
                    if iszero(o) { break }
                }
                // Store `cap * prime` in the word before the length.
                mstore(add(newBufData, w), mul(prime, newCap))
                bufData := newBufData // Assign `newBufData` to `bufData`.
                break
            }
            // If it's a reserve operation, set the variables to skip the appending.
            if iszero(data) {
                mstore(data, data)
                newBufDataLen := bufDataLen
            }
            // Copy `data` one word at a time, backwards.
            for { let o := and(add(mload(data), 0x20), w) } 1 {} {
                mstore(add(add(bufData, bufDataLen), o), mload(add(data, o)))
                o := add(o, w) // `sub(o, 0x20)`.
                if iszero(o) { break }
            }
            mstore(add(add(bufData, 0x20), newBufDataLen), 0) // Zeroize the word after the buffer.
            mstore(bufData, newBufDataLen) // Store the length.
        }
    }

    /// @dev Appends `data0`, `data1` to `buffer`.
    /// Returns the same buffer, so that it can be used for function chaining.
    function p(DynamicBuffer memory buffer, bytes memory data0, bytes memory data1)
        internal
        pure
        returns (DynamicBuffer memory result)
    {
        _deallocate(result);
        result = p(p(buffer, data0), data1);
    }

    /// @dev Appends `data0` .. `data2` to `buffer`.
    /// Returns the same buffer, so that it can be used for function chaining.
    function p(
        DynamicBuffer memory buffer,
        bytes memory data0,
        bytes memory data1,
        bytes memory data2
    ) internal pure returns (DynamicBuffer memory result) {
        _deallocate(result);
        result = p(p(p(buffer, data0), data1), data2);
    }

    /// @dev Appends `data0` .. `data3` to `buffer`.
    /// Returns the same buffer, so that it can be used for function chaining.
    function p(
        DynamicBuffer memory buffer,
        bytes memory data0,
        bytes memory data1,
        bytes memory data2,
        bytes memory data3
    ) internal pure returns (DynamicBuffer memory result) {
        _deallocate(result);
        result = p(p(p(p(buffer, data0), data1), data2), data3);
    }

    /// @dev Appends `data0` .. `data4` to `buffer`.
    /// Returns the same buffer, so that it can be used for function chaining.
    function p(
        DynamicBuffer memory buffer,
        bytes memory data0,
        bytes memory data1,
        bytes memory data2,
        bytes memory data3,
        bytes memory data4
    ) internal pure returns (DynamicBuffer memory result) {
        _deallocate(result);
        result = p(p(p(p(p(buffer, data0), data1), data2), data3), data4);
    }

    /// @dev Appends `data0` .. `data5` to `buffer`.
    /// Returns the same buffer, so that it can be used for function chaining.
    function p(
        DynamicBuffer memory buffer,
        bytes memory data0,
        bytes memory data1,
        bytes memory data2,
        bytes memory data3,
        bytes memory data4,
        bytes memory data5
    ) internal pure returns (DynamicBuffer memory result) {
        _deallocate(result);
        result = p(p(p(p(p(p(buffer, data0), data1), data2), data3), data4), data5);
    }

    /// @dev Appends `data0` .. `data6` to `buffer`.
    /// Returns the same buffer, so that it can be used for function chaining.
    function p(
        DynamicBuffer memory buffer,
        bytes memory data0,
        bytes memory data1,
        bytes memory data2,
        bytes memory data3,
        bytes memory data4,
        bytes memory data5,
        bytes memory data6
    ) internal pure returns (DynamicBuffer memory result) {
        _deallocate(result);
        result = p(p(p(p(p(p(p(buffer, data0), data1), data2), data3), data4), data5), data6);
    }

    /*´:°•.°+.*•´.*:˚.°*.˚•´.°:°•.°•.*•´.*:˚.°*.˚•´.°:°•.°+.*•´.*:*/
    /*                      PRIVATE HELPERS                       */
    /*.•°:°.´+˚.*°.˚:*.´•*.+°.•°:´*.´•*.•°.•°:°.´:•˚°.*°.˚:*.´+°.•*/

    /// @dev Helper for deallocating a automatically allocated `buffer` pointer.
    function _deallocate(DynamicBuffer memory result) private pure {
        /// @solidity memory-safe-assembly
        assembly {
            mstore(0x40, result) // Deallocate, as we have already allocated.
        }
    }
}


// SPDX-License-Identifier: MIT
pragma solidity ^0.8.4;

/// @notice Gas optimized ECDSA wrapper.
/// @author Solady (https://github.com/vectorized/solady/blob/main/src/utils/ECDSA.sol)
/// @author Modified from Solmate (https://github.com/transmissions11/solmate/blob/main/src/utils/ECDSA.sol)
/// @author Modified from OpenZeppelin (https://github.com/OpenZeppelin/openzeppelin-contracts/blob/master/contracts/utils/cryptography/ECDSA.sol)
///
/// @dev Note:
/// - The recovery functions use the ecrecover precompile (0x1).
///
/// WARNING! Do NOT use signatures as unique identifiers.
/// Please use EIP712 with a nonce included in the digest to prevent replay attacks.
/// This implementation does NOT check if a signature is non-malleable.
library ECDSA {
    /*´:°•.°+.*•´.*:˚.°*.˚•´.°:°•.°•.*•´.*:˚.°*.˚•´.°:°•.°+.*•´.*:*/
    /*                        CUSTOM ERRORS                       */
    /*.•°:°.´+˚.*°.˚:*.´•*.+°.•°:´*.´•*.•°.•°:°.´:•˚°.*°.˚:*.´+°.•*/

    /// @dev The signature is invalid.
    error InvalidSignature();

    /*´:°•.°+.*•´.*:˚.°*.˚•´.°:°•.°•.*•´.*:˚.°*.˚•´.°:°•.°+.*•´.*:*/
    /*                    RECOVERY OPERATIONS                     */
    /*.•°:°.´+˚.*°.˚:*.´•*.+°.•°:´*.´•*.•°.•°:°.´:•˚°.*°.˚:*.´+°.•*/

    // Note: as of Solady version 0.0.68, these functions will
    // revert upon recovery failure for more safety by default.

    /// @dev Recovers the signer's address from a message digest `hash`,
    /// and the `signature`.
    ///
    /// This function does NOT accept EIP-2098 short form signatures.
    /// Use `recover(bytes32 hash, bytes32 r, bytes32 vs)` for EIP-2098
    /// short form signatures instead.
    function recover(bytes32 hash, bytes memory signature) internal view returns (address result) {
        /// @solidity memory-safe-assembly
        assembly {
            let m := mload(0x40) // Cache the free memory pointer.
            let signatureLength := mload(signature)
            mstore(0x00, hash)
            mstore(0x20, byte(0, mload(add(signature, 0x60)))) // `v`.
            mstore(0x40, mload(add(signature, 0x20))) // `r`.
            mstore(0x60, mload(add(signature, 0x40))) // `s`.
            result :=
                mload(
                    staticcall(
                        gas(), // Amount of gas left for the transaction.
                        eq(signatureLength, 65), // Address of `ecrecover`.
                        0x00, // Start of input.
                        0x80, // Size of input.
                        0x01, // Start of output.
                        0x20 // Size of output.
                    )
                )
            // `returndatasize()` will be `0x20` upon success, and `0x00` otherwise.
            if iszero(returndatasize()) {
                mstore(0x00, 0x8baa579f) // `InvalidSignature()`.
                revert(0x1c, 0x04)
            }
            mstore(0x60, 0) // Restore the zero slot.
            mstore(0x40, m) // Restore the free memory pointer.
        }
    }

    /// @dev Recovers the signer's address from a message digest `hash`,
    /// and the `signature`.
    ///
    /// This function does NOT accept EIP-2098 short form signatures.
    /// Use `recover(bytes32 hash, bytes32 r, bytes32 vs)` for EIP-2098
    /// short form signatures instead.
    function recoverCalldata(bytes32 hash, bytes calldata signature)
        internal
        view
        returns (address result)
    {
        /// @solidity memory-safe-assembly
        assembly {
            let m := mload(0x40) // Cache the free memory pointer.
            mstore(0x00, hash)
            mstore(0x20, byte(0, calldataload(add(signature.offset, 0x40)))) // `v`.
            calldatacopy(0x40, signature.offset, 0x40) // Copy `r` and `s`.
            result :=
                mload(
                    staticcall(
                        gas(), // Amount of gas left for the transaction.
                        eq(signature.length, 65), // Address of `ecrecover`.
                        0x00, // Start of input.
                        0x80, // Size of input.
                        0x01, // Start of output.
                        0x20 // Size of output.
                    )
                )
            // `returndatasize()` will be `0x20` upon success, and `0x00` otherwise.
            if iszero(returndatasize()) {
                mstore(0x00, 0x8baa579f) // `InvalidSignature()`.
                revert(0x1c, 0x04)
            }
            mstore(0x60, 0) // Restore the zero slot.
            mstore(0x40, m) // Restore the free memory pointer.
        }
    }

    /// @dev Recovers the signer's address from a message digest `hash`,
    /// and the EIP-2098 short form signature defined by `r` and `vs`.
    ///
    /// This function only accepts EIP-2098 short form signatures.
    /// See: https://eips.ethereum.org/EIPS/eip-2098
    function recover(bytes32 hash, bytes32 r, bytes32 vs) internal view returns (address result) {
        /// @solidity memory-safe-assembly
        assembly {
            let m := mload(0x40) // Cache the free memory pointer.
            mstore(0x00, hash)
            mstore(0x20, add(shr(255, vs), 27)) // `v`.
            mstore(0x40, r)
            mstore(0x60, shr(1, shl(1, vs))) // `s`.
            result :=
                mload(
                    staticcall(
                        gas(), // Amount of gas left for the transaction.
                        1, // Address of `ecrecover`.
                        0x00, // Start of input.
                        0x80, // Size of input.
                        0x01, // Start of output.
                        0x20 // Size of output.
                    )
                )
            // `returndatasize()` will be `0x20` upon success, and `0x00` otherwise.
            if iszero(returndatasize()) {
                mstore(0x00, 0x8baa579f) // `InvalidSignature()`.
                revert(0x1c, 0x04)
            }
            mstore(0x60, 0) // Restore the zero slot.
            mstore(0x40, m) // Restore the free memory pointer.
        }
    }

    /// @dev Recovers the signer's address from a message digest `hash`,
    /// and the signature defined by `v`, `r`, `s`.
    function recover(bytes32 hash, uint8 v, bytes32 r, bytes32 s)
        internal
        view
        returns (address result)
    {
        /// @solidity memory-safe-assembly
        assembly {
            let m := mload(0x40) // Cache the free memory pointer.
            mstore(0x00, hash)
            mstore(0x20, and(v, 0xff))
            mstore(0x40, r)
            mstore(0x60, s)
            result :=
                mload(
                    staticcall(
                        gas(), // Amount of gas left for the transaction.
                        1, // Address of `ecrecover`.
                        0x00, // Start of input.
                        0x80, // Size of input.
                        0x01, // Start of output.
                        0x20 // Size of output.
                    )
                )
            // `returndatasize()` will be `0x20` upon success, and `0x00` otherwise.
            if iszero(returndatasize()) {
                mstore(0x00, 0x8baa579f) // `InvalidSignature()`.
                revert(0x1c, 0x04)
            }
            mstore(0x60, 0) // Restore the zero slot.
            mstore(0x40, m) // Restore the free memory pointer.
        }
    }

    /*´:°•.°+.*•´.*:˚.°*.˚•´.°:°•.°•.*•´.*:˚.°*.˚•´.°:°•.°+.*•´.*:*/
    /*                   TRY-RECOVER OPERATIONS                   */
    /*.•°:°.´+˚.*°.˚:*.´•*.+°.•°:´*.´•*.•°.•°:°.´:•˚°.*°.˚:*.´+°.•*/

    // WARNING!
    // These functions will NOT revert upon recovery failure.
    // Instead, they will return the zero address upon recovery failure.
    // It is critical that the returned address is NEVER compared against
    // a zero address (e.g. an uninitialized address variable).

    /// @dev Recovers the signer's address from a message digest `hash`,
    /// and the `signature`.
    ///
    /// This function does NOT accept EIP-2098 short form signatures.
    /// Use `recover(bytes32 hash, bytes32 r, bytes32 vs)` for EIP-2098
    /// short form signatures instead.
    function tryRecover(bytes32 hash, bytes memory signature)
        internal
        view
        returns (address result)
    {
        /// @solidity memory-safe-assembly
        assembly {
            let m := mload(0x40) // Cache the free memory pointer.
            let signatureLength := mload(signature)
            mstore(0x00, hash)
            mstore(0x20, byte(0, mload(add(signature, 0x60)))) // `v`.
            mstore(0x40, mload(add(signature, 0x20))) // `r`.
            mstore(0x60, mload(add(signature, 0x40))) // `s`.
            pop(
                staticcall(
                    gas(), // Amount of gas left for the transaction.
                    eq(signatureLength, 65), // Address of `ecrecover`.
                    0x00, // Start of input.
                    0x80, // Size of input.
                    0x40, // Start of output.
                    0x20 // Size of output.
                )
            )
            mstore(0x60, 0) // Restore the zero slot.
            // `returndatasize()` will be `0x20` upon success, and `0x00` otherwise.
            result := mload(xor(0x60, returndatasize()))
            mstore(0x40, m) // Restore the free memory pointer.
        }
    }

    /// @dev Recovers the signer's address from a message digest `hash`,
    /// and the `signature`.
    ///
    /// This function does NOT accept EIP-2098 short form signatures.
    /// Use `recover(bytes32 hash, bytes32 r, bytes32 vs)` for EIP-2098
    /// short form signatures instead.
    function tryRecoverCalldata(bytes32 hash, bytes calldata signature)
        internal
        view
        returns (address result)
    {
        /// @solidity memory-safe-assembly
        assembly {
            let m := mload(0x40) // Cache the free memory pointer.
            mstore(0x00, hash)
            mstore(0x20, byte(0, calldataload(add(signature.offset, 0x40)))) // `v`.
            calldatacopy(0x40, signature.offset, 0x40) // Copy `r` and `s`.
            pop(
                staticcall(
                    gas(), // Amount of gas left for the transaction.
                    eq(signature.length, 65), // Address of `ecrecover`.
                    0x00, // Start of input.
                    0x80, // Size of input.
                    0x40, // Start of output.
                    0x20 // Size of output.
                )
            )
            mstore(0x60, 0) // Restore the zero slot.
            // `returndatasize()` will be `0x20` upon success, and `0x00` otherwise.
            result := mload(xor(0x60, returndatasize()))
            mstore(0x40, m) // Restore the free memory pointer.
        }
    }

    /// @dev Recovers the signer's address from a message digest `hash`,
    /// and the EIP-2098 short form signature defined by `r` and `vs`.
    ///
    /// This function only accepts EIP-2098 short form signatures.
    /// See: https://eips.ethereum.org/EIPS/eip-2098
    function tryRecover(bytes32 hash, bytes32 r, bytes32 vs)
        internal
        view
        returns (address result)
    {
        /// @solidity memory-safe-assembly
        assembly {
            let m := mload(0x40) // Cache the free memory pointer.
            mstore(0x00, hash)
            mstore(0x20, add(shr(255, vs), 27)) // `v`.
            mstore(0x40, r)
            mstore(0x60, shr(1, shl(1, vs))) // `s`.
            pop(
                staticcall(
                    gas(), // Amount of gas left for the transaction.
                    1, // Address of `ecrecover`.
                    0x00, // Start of input.
                    0x80, // Size of input.
                    0x40, // Start of output.
                    0x20 // Size of output.
                )
            )
            mstore(0x60, 0) // Restore the zero slot.
            // `returndatasize()` will be `0x20` upon success, and `0x00` otherwise.
            result := mload(xor(0x60, returndatasize()))
            mstore(0x40, m) // Restore the free memory pointer.
        }
    }

    /// @dev Recovers the signer's address from a message digest `hash`,
    /// and the signature defined by `v`, `r`, `s`.
    function tryRecover(bytes32 hash, uint8 v, bytes32 r, bytes32 s)
        internal
        view
        returns (address result)
    {
        /// @solidity memory-safe-assembly
        assembly {
            let m := mload(0x40) // Cache the free memory pointer.
            mstore(0x00, hash)
            mstore(0x20, and(v, 0xff))
            mstore(0x40, r)
            mstore(0x60, s)
            pop(
                staticcall(
                    gas(), // Amount of gas left for the transaction.
                    1, // Address of `ecrecover`.
                    0x00, // Start of input.
                    0x80, // Size of input.
                    0x40, // Start of output.
                    0x20 // Size of output.
                )
            )
            mstore(0x60, 0) // Restore the zero slot.
            // `returndatasize()` will be `0x20` upon success, and `0x00` otherwise.
            result := mload(xor(0x60, returndatasize()))
            mstore(0x40, m) // Restore the free memory pointer.
        }
    }

    /*´:°•.°+.*•´.*:˚.°*.˚•´.°:°•.°•.*•´.*:˚.°*.˚•´.°:°•.°+.*•´.*:*/
    /*                     HASHING OPERATIONS                     */
    /*.•°:°.´+˚.*°.˚:*.´•*.+°.•°:´*.´•*.•°.•°:°.´:•˚°.*°.˚:*.´+°.•*/

    /// @dev Returns an Ethereum Signed Message, created from a `hash`.
    /// This produces a hash corresponding to the one signed with the
    /// [`eth_sign`](https://eth.wiki/json-rpc/API#eth_sign)
    /// JSON-RPC method as part of EIP-191.
    function toEthSignedMessageHash(bytes32 hash) internal pure returns (bytes32 result) {
        /// @solidity memory-safe-assembly
        assembly {
            mstore(0x20, hash) // Store into scratch space for keccak256.
            mstore(0x00, "\x00\x00\x00\x00\x19Ethereum Signed Message:\n32") // 28 bytes.
            result := keccak256(0x04, 0x3c) // `32 * 2 - (32 - 28) = 60 = 0x3c`.
        }
    }

    /// @dev Returns an Ethereum Signed Message, created from `s`.
    /// This produces a hash corresponding to the one signed with the
    /// [`eth_sign`](https://eth.wiki/json-rpc/API#eth_sign)
    /// JSON-RPC method as part of EIP-191.
    /// Note: Supports lengths of `s` up to 999999 bytes.
    function toEthSignedMessageHash(bytes memory s) internal pure returns (bytes32 result) {
        /// @solidity memory-safe-assembly
        assembly {
            let sLength := mload(s)
            let o := 0x20
            mstore(o, "\x19Ethereum Signed Message:\n") // 26 bytes, zero-right-padded.
            mstore(0x00, 0x00)
            // Convert the `s.length` to ASCII decimal representation: `base10(s.length)`.
            for { let temp := sLength } 1 {} {
                o := sub(o, 1)
                mstore8(o, add(48, mod(temp, 10)))
                temp := div(temp, 10)
                if iszero(temp) { break }
            }
            let n := sub(0x3a, o) // Header length: `26 + 32 - o`.
            // Throw an out-of-offset error (consumes all gas) if the header exceeds 32 bytes.
            returndatacopy(returndatasize(), returndatasize(), gt(n, 0x20))
            mstore(s, or(mload(0x00), mload(n))) // Temporarily store the header.
            result := keccak256(add(s, sub(0x20, n)), add(n, sLength))
            mstore(s, sLength) // Restore the length.
        }
    }

    /*´:°•.°+.*•´.*:˚.°*.˚•´.°:°•.°•.*•´.*:˚.°*.˚•´.°:°•.°+.*•´.*:*/
    /*                   EMPTY CALLDATA HELPERS                   */
    /*.•°:°.´+˚.*°.˚:*.´•*.+°.•°:´*.´•*.•°.•°:°.´:•˚°.*°.˚:*.´+°.•*/

    /// @dev Returns an empty calldata bytes.
    function emptySignature() internal pure returns (bytes calldata signature) {
        /// @solidity memory-safe-assembly
        assembly {
            signature.length := 0
        }
    }
}


// SPDX-License-Identifier: MIT
pragma solidity ^0.8.4;

/// @notice Contract for EIP-712 typed structured data hashing and signing.
/// @author Solady (https://github.com/vectorized/solady/blob/main/src/utils/EIP712.sol)
/// @author Modified from Solbase (https://github.com/Sol-DAO/solbase/blob/main/src/utils/EIP712.sol)
/// @author Modified from OpenZeppelin (https://github.com/OpenZeppelin/openzeppelin-contracts/blob/master/contracts/utils/cryptography/EIP712.sol)
///
/// @dev Note, this implementation:
/// - Uses `address(this)` for the `verifyingContract` field.
/// - Does NOT use the optional EIP-712 salt.
/// - Does NOT use any EIP-712 extensions.
/// This is for simplicity and to save gas.
/// If you need to customize, please fork / modify accordingly.
abstract contract EIP712 {
    /*´:°•.°+.*•´.*:˚.°*.˚•´.°:°•.°•.*•´.*:˚.°*.˚•´.°:°•.°+.*•´.*:*/
    /*                  CONSTANTS AND IMMUTABLES                  */
    /*.•°:°.´+˚.*°.˚:*.´•*.+°.•°:´*.´•*.•°.•°:°.´:•˚°.*°.˚:*.´+°.•*/

    /// @dev `keccak256("EIP712Domain(string name,string version,uint256 chainId,address verifyingContract)")`.
    bytes32 internal constant _DOMAIN_TYPEHASH =
        0x8b73c3c69bb8fe3d512ecc4cf759cc79239f7b179b0ffacaa9a75d522b39400f;

    address private immutable _cachedThis;
    uint256 private immutable _cachedChainId;
    bytes32 private immutable _cachedNameHash;
    bytes32 private immutable _cachedVersionHash;
    bytes32 private immutable _cachedDomainSeparator;

    /*´:°•.°+.*•´.*:˚.°*.˚•´.°:°•.°•.*•´.*:˚.°*.˚•´.°:°•.°+.*•´.*:*/
    /*                        CONSTRUCTOR                         */
    /*.•°:°.´+˚.*°.˚:*.´•*.+°.•°:´*.´•*.•°.•°:°.´:•˚°.*°.˚:*.´+°.•*/

    /// @dev Cache the hashes for cheaper runtime gas costs.
    /// In the case of upgradeable contracts (i.e. proxies),
    /// or if the chain id changes due to a hard fork,
    /// the domain separator will be seamlessly calculated on-the-fly.
    constructor() {
        _cachedThis = address(this);
        _cachedChainId = block.chainid;

        string memory name;
        string memory version;
        if (!_domainNameAndVersionMayChange()) (name, version) = _domainNameAndVersion();
        bytes32 nameHash = _domainNameAndVersionMayChange() ? bytes32(0) : keccak256(bytes(name));
        bytes32 versionHash =
            _domainNameAndVersionMayChange() ? bytes32(0) : keccak256(bytes(version));
        _cachedNameHash = nameHash;
        _cachedVersionHash = versionHash;

        bytes32 separator;
        if (!_domainNameAndVersionMayChange()) {
            /// @solidity memory-safe-assembly
            assembly {
                let m := mload(0x40) // Load the free memory pointer.
                mstore(m, _DOMAIN_TYPEHASH)
                mstore(add(m, 0x20), nameHash)
                mstore(add(m, 0x40), versionHash)
                mstore(add(m, 0x60), chainid())
                mstore(add(m, 0x80), address())
                separator := keccak256(m, 0xa0)
            }
        }
        _cachedDomainSeparator = separator;
    }

    /*´:°•.°+.*•´.*:˚.°*.˚•´.°:°•.°•.*•´.*:˚.°*.˚•´.°:°•.°+.*•´.*:*/
    /*                   FUNCTIONS TO OVERRIDE                    */
    /*.•°:°.´+˚.*°.˚:*.´•*.+°.•°:´*.´•*.•°.•°:°.´:•˚°.*°.˚:*.´+°.•*/

    /// @dev Please override this function to return the domain name and version.
    /// ```
    ///     function _domainNameAndVersion()
    ///         internal
    ///         pure
    ///         virtual
    ///         returns (string memory name, string memory version)
    ///     {
    ///         name = "Solady";
    ///         version = "1";
    ///     }
    /// ```
    ///
    /// Note: If the returned result may change after the contract has been deployed,
    /// you must override `_domainNameAndVersionMayChange()` to return true.
    function _domainNameAndVersion()
        internal
        view
        virtual
        returns (string memory name, string memory version);

    /// @dev Returns if `_domainNameAndVersion()` may change
    /// after the contract has been deployed (i.e. after the constructor).
    /// Default: false.
    function _domainNameAndVersionMayChange() internal pure virtual returns (bool result) {}

    /*´:°•.°+.*•´.*:˚.°*.˚•´.°:°•.°•.*•´.*:˚.°*.˚•´.°:°•.°+.*•´.*:*/
    /*                     HASHING OPERATIONS                     */
    /*.•°:°.´+˚.*°.˚:*.´•*.+°.•°:´*.´•*.•°.•°:°.´:•˚°.*°.˚:*.´+°.•*/

    /// @dev Returns the EIP-712 domain separator.
    function _domainSeparator() internal view virtual returns (bytes32 separator) {
        if (_domainNameAndVersionMayChange()) {
            separator = _buildDomainSeparator();
        } else {
            separator = _cachedDomainSeparator;
            if (_cachedDomainSeparatorInvalidated()) separator = _buildDomainSeparator();
        }
    }

    /// @dev Returns the hash of the fully encoded EIP-712 message for this domain,
    /// given `structHash`, as defined in
    /// https://eips.ethereum.org/EIPS/eip-712#definition-of-hashstruct.
    ///
    /// The hash can be used together with {ECDSA-recover} to obtain the signer of a message:
    /// ```
    ///     bytes32 digest = _hashTypedData(keccak256(abi.encode(
    ///         keccak256("Mail(address to,string contents)"),
    ///         mailTo,
    ///         keccak256(bytes(mailContents))
    ///     )));
    ///     address signer = ECDSA.recover(digest, signature);
    /// ```
    function _hashTypedData(bytes32 structHash) internal view virtual returns (bytes32 digest) {
        bytes32 separator;
        if (_domainNameAndVersionMayChange()) {
            separator = _buildDomainSeparator();
        } else {
            separator = _cachedDomainSeparator;
            if (_cachedDomainSeparatorInvalidated()) separator = _buildDomainSeparator();
        }
        /// @solidity memory-safe-assembly
        assembly {
            // Compute the digest.
            mstore(0x00, 0x1901000000000000) // Store "\x19\x01".
            mstore(0x1a, separator) // Store the domain separator.
            mstore(0x3a, structHash) // Store the struct hash.
            digest := keccak256(0x18, 0x42)
            // Restore the part of the free memory slot that was overwritten.
            mstore(0x3a, 0)
        }
    }

    /*´:°•.°+.*•´.*:˚.°*.˚•´.°:°•.°•.*•´.*:˚.°*.˚•´.°:°•.°+.*•´.*:*/
    /*                    EIP-5267 OPERATIONS                     */
    /*.•°:°.´+˚.*°.˚:*.´•*.+°.•°:´*.´•*.•°.•°:°.´:•˚°.*°.˚:*.´+°.•*/

    /// @dev See: https://eips.ethereum.org/EIPS/eip-5267
    function eip712Domain()
        public
        view
        virtual
        returns (
            bytes1 fields,
            string memory name,
            string memory version,
            uint256 chainId,
            address verifyingContract,
            bytes32 salt,
            uint256[] memory extensions
        )
    {
        fields = hex"0f"; // `0b01111`.
        (name, version) = _domainNameAndVersion();
        chainId = block.chainid;
        verifyingContract = address(this);
        salt = salt; // `bytes32(0)`.
        extensions = extensions; // `new uint256[](0)`.
    }

    /*´:°•.°+.*•´.*:˚.°*.˚•´.°:°•.°•.*•´.*:˚.°*.˚•´.°:°•.°+.*•´.*:*/
    /*                      PRIVATE HELPERS                       */
    /*.•°:°.´+˚.*°.˚:*.´•*.+°.•°:´*.´•*.•°.•°:°.´:•˚°.*°.˚:*.´+°.•*/

    /// @dev Returns the EIP-712 domain separator.
    function _buildDomainSeparator() private view returns (bytes32 separator) {
        bytes32 nameHash;
        bytes32 versionHash;
        if (_domainNameAndVersionMayChange()) {
            (string memory name, string memory version) = _domainNameAndVersion();
            nameHash = keccak256(bytes(name));
            versionHash = keccak256(bytes(version));
        } else {
            nameHash = _cachedNameHash;
            versionHash = _cachedVersionHash;
        }
        /// @solidity memory-safe-assembly
        assembly {
            let m := mload(0x40) // Load the free memory pointer.
            mstore(m, _DOMAIN_TYPEHASH)
            mstore(add(m, 0x20), nameHash)
            mstore(add(m, 0x40), versionHash)
            mstore(add(m, 0x60), chainid())
            mstore(add(m, 0x80), address())
            separator := keccak256(m, 0xa0)
        }
    }

    /// @dev Returns if the cached domain separator has been invalidated.
    function _cachedDomainSeparatorInvalidated() private view returns (bool result) {
        uint256 cachedChainId = _cachedChainId;
        address cachedThis = _cachedThis;
        /// @solidity memory-safe-assembly
        assembly {
            result := iszero(and(eq(chainid(), cachedChainId), eq(address(), cachedThis)))
        }
    }
}


// SPDX-License-Identifier: MIT
pragma solidity ^0.8.4;

/// @notice The address and bytecode of the canonical ERC1967Factory deployment.
/// @author Solady (https://github.com/vectorized/solady/blob/main/src/utils/ERC1967FactoryLib.sol)
/// @author jtriley-eth (https://github.com/jtriley-eth/minimum-viable-proxy)
///
/// @dev The canonical ERC1967Factory is deployed permissionlessly via
/// 0age's ImmutableCreate2Factory located at 0x0000000000FFe8B47B3e2130213B802212439497.
///
/// `ADDRESS = immutableCreate2Factory.safeCreate2(SALT, INITCODE)`
///
/// If the canonical ERC1967Factory has not been deployed on your EVM chain of choice,
/// please feel free to deploy via 0age's ImmutableCreate2Factory.
///
/// If 0age's ImmutableCreate2Factory has not been deployed on your EVM chain of choice,
/// please refer to 0age's ImmutableCreate2Factory deployment instructions at:
/// https://github.com/ProjectOpenSea/seaport/blob/main/docs/Deployment.md
///
/// Contract verification:
/// - Source code:
///   https://github.com/Vectorized/solady/blob/5212e50fef1f2ff1b1b5e03a5d276a0d23c02713/src/utils/ERC1967Factory.sol
///   (The EXACT source code is required. Use the file at the commit instead of the latest copy.)
/// - Optimization Enabled: Yes with 1000000 runs
/// - Compiler Version: v0.8.19+commit.7dd6d404
/// - Other Settings: default evmVersion, MIT license
library ERC1967FactoryConstants {
    /// @dev The canonical ERC1967Factory address for EVM chains.
    address internal constant ADDRESS = 0x0000000000006396FF2a80c067f99B3d2Ab4Df24;

    /// @dev The canonical ERC1967Factory bytecode for EVM chains.
    /// Useful for forge tests:
    /// `vm.etch(ADDRESS, BYTECODE)`.
    bytes internal constant BYTECODE =
        hex"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";

    /// @dev The initcode used to deploy the canonical ERC1967Factory.
    bytes internal constant INITCODE = abi.encodePacked(
        hex"608060405234801561001057600080fd5b506107f6806100206000396000f3fe", BYTECODE
    );

    /// @dev For deterministic deployment via 0age's ImmutableCreate2Factory.
    bytes32 internal constant SALT =
        0x0000000000000000000000000000000000000000e75e4f228818c80007508f33;
}


// SPDX-License-Identifier: MIT
pragma solidity ^0.8.4;

/// @notice Library for bit twiddling and boolean operations.
/// @author Solady (https://github.com/vectorized/solady/blob/main/src/utils/LibBit.sol)
/// @author Inspired by (https://graphics.stanford.edu/~seander/bithacks.html)
library LibBit {
    /*´:°•.°+.*•´.*:˚.°*.˚•´.°:°•.°•.*•´.*:˚.°*.˚•´.°:°•.°+.*•´.*:*/
    /*                  BIT TWIDDLING OPERATIONS                  */
    /*.•°:°.´+˚.*°.˚:*.´•*.+°.•°:´*.´•*.•°.•°:°.´:•˚°.*°.˚:*.´+°.•*/

    /// @dev Find last set.
    /// Returns the index of the most significant bit of `x`,
    /// counting from the least significant bit position.
    /// If `x` is zero, returns 256.
    function fls(uint256 x) internal pure returns (uint256 r) {
        /// @solidity memory-safe-assembly
        assembly {
            r := or(shl(8, iszero(x)), shl(7, lt(0xffffffffffffffffffffffffffffffff, x)))
            r := or(r, shl(6, lt(0xffffffffffffffff, shr(r, x))))
            r := or(r, shl(5, lt(0xffffffff, shr(r, x))))
            r := or(r, shl(4, lt(0xffff, shr(r, x))))
            r := or(r, shl(3, lt(0xff, shr(r, x))))
            // forgefmt: disable-next-item
            r := or(r, byte(and(0x1f, shr(shr(r, x), 0x8421084210842108cc6318c6db6d54be)),
                0x0706060506020504060203020504030106050205030304010505030400000000))
        }
    }

    /// @dev Count leading zeros.
    /// Returns the number of zeros preceding the most significant one bit.
    /// If `x` is zero, returns 256.
    function clz(uint256 x) internal pure returns (uint256 r) {
        /// @solidity memory-safe-assembly
        assembly {
            r := shl(7, lt(0xffffffffffffffffffffffffffffffff, x))
            r := or(r, shl(6, lt(0xffffffffffffffff, shr(r, x))))
            r := or(r, shl(5, lt(0xffffffff, shr(r, x))))
            r := or(r, shl(4, lt(0xffff, shr(r, x))))
            r := or(r, shl(3, lt(0xff, shr(r, x))))
            // forgefmt: disable-next-item
            r := add(xor(r, byte(and(0x1f, shr(shr(r, x), 0x8421084210842108cc6318c6db6d54be)),
                0xf8f9f9faf9fdfafbf9fdfcfdfafbfcfef9fafdfafcfcfbfefafafcfbffffffff)), iszero(x))
        }
    }

    /// @dev Find first set.
    /// Returns the index of the least significant bit of `x`,
    /// counting from the least significant bit position.
    /// If `x` is zero, returns 256.
    /// Equivalent to `ctz` (count trailing zeros), which gives
    /// the number of zeros following the least significant one bit.
    function ffs(uint256 x) internal pure returns (uint256 r) {
        /// @solidity memory-safe-assembly
        assembly {
            // Isolate the least significant bit.
            let b := and(x, add(not(x), 1))

            r := or(shl(8, iszero(x)), shl(7, lt(0xffffffffffffffffffffffffffffffff, b)))
            r := or(r, shl(6, lt(0xffffffffffffffff, shr(r, b))))
            r := or(r, shl(5, lt(0xffffffff, shr(r, b))))

            // For the remaining 32 bits, use a De Bruijn lookup.
            // forgefmt: disable-next-item
            r := or(r, byte(and(div(0xd76453e0, shr(r, b)), 0x1f),
                0x001f0d1e100c1d070f090b19131c1706010e11080a1a141802121b1503160405))
        }
    }

    /// @dev Returns the number of set bits in `x`.
    function popCount(uint256 x) internal pure returns (uint256 c) {
        /// @solidity memory-safe-assembly
        assembly {
            let max := not(0)
            let isMax := eq(x, max)
            x := sub(x, and(shr(1, x), div(max, 3)))
            x := add(and(x, div(max, 5)), and(shr(2, x), div(max, 5)))
            x := and(add(x, shr(4, x)), div(max, 17))
            c := or(shl(8, isMax), shr(248, mul(x, div(max, 255))))
        }
    }

    /// @dev Returns whether `x` is a power of 2.
    function isPo2(uint256 x) internal pure returns (bool result) {
        /// @solidity memory-safe-assembly
        assembly {
            // Equivalent to `x && !(x & (x - 1))`.
            result := iszero(add(and(x, sub(x, 1)), iszero(x)))
        }
    }

    /// @dev Returns `x` reversed at the bit level.
    function reverseBits(uint256 x) internal pure returns (uint256 r) {
        /// @solidity memory-safe-assembly
        assembly {
            // Computing masks on-the-fly reduces bytecode size by about 500 bytes.
            let m := not(0)
            r := x
            for { let s := 128 } 1 {} {
                m := xor(m, shl(s, m))
                r := or(and(shr(s, r), m), and(shl(s, r), not(m)))
                s := shr(1, s)
                if iszero(s) { break }
            }
        }
    }

    /// @dev Returns `x` reversed at the byte level.
    function reverseBytes(uint256 x) internal pure returns (uint256 r) {
        /// @solidity memory-safe-assembly
        assembly {
            // Computing masks on-the-fly reduces bytecode size by about 200 bytes.
            let m := not(0)
            r := x
            for { let s := 128 } 1 {} {
                m := xor(m, shl(s, m))
                r := or(and(shr(s, r), m), and(shl(s, r), not(m)))
                s := shr(1, s)
                if eq(s, 4) { break }
            }
        }
    }

    /*´:°•.°+.*•´.*:˚.°*.˚•´.°:°•.°•.*•´.*:˚.°*.˚•´.°:°•.°+.*•´.*:*/
    /*                     BOOLEAN OPERATIONS                     */
    /*.•°:°.´+˚.*°.˚:*.´•*.+°.•°:´*.´•*.•°.•°:°.´:•˚°.*°.˚:*.´+°.•*/

    // A Solidity bool on the stack or memory is represented as a 256-bit word.
    // Non-zero values are true, zero is false.
    // A clean bool is either 0 (false) or 1 (true) under the hood.
    // Usually, if not always, the bool result of a regular Solidity expression,
    // or the argument of a public/external function will be a clean bool.
    // You can usually use the raw variants for more performance.
    // If uncertain, test (best with exact compiler settings).
    // Or use the non-raw variants (compiler can sometimes optimize out the double `iszero`s).

    /// @dev Returns `x & y`. Inputs must be clean.
    function rawAnd(bool x, bool y) internal pure returns (bool z) {
        /// @solidity memory-safe-assembly
        assembly {
            z := and(x, y)
        }
    }

    /// @dev Returns `x & y`.
    function and(bool x, bool y) internal pure returns (bool z) {
        /// @solidity memory-safe-assembly
        assembly {
            z := and(iszero(iszero(x)), iszero(iszero(y)))
        }
    }

    /// @dev Returns `x | y`. Inputs must be clean.
    function rawOr(bool x, bool y) internal pure returns (bool z) {
        /// @solidity memory-safe-assembly
        assembly {
            z := or(x, y)
        }
    }

    /// @dev Returns `x | y`.
    function or(bool x, bool y) internal pure returns (bool z) {
        /// @solidity memory-safe-assembly
        assembly {
            z := or(iszero(iszero(x)), iszero(iszero(y)))
        }
    }

    /// @dev Returns 1 if `b` is true, else 0. Input must be clean.
    function rawToUint(bool b) internal pure returns (uint256 z) {
        /// @solidity memory-safe-assembly
        assembly {
            z := b
        }
    }

    /// @dev Returns 1 if `b` is true, else 0.
    function toUint(bool b) internal pure returns (uint256 z) {
        /// @solidity memory-safe-assembly
        assembly {
            z := iszero(iszero(b))
        }
    }
}


// SPDX-License-Identifier: MIT
pragma solidity ^0.8.4;

import {LibBit} from "./LibBit.sol";

/// @notice Library for storage of packed unsigned booleans.
/// @author Solady (https://github.com/vectorized/solady/blob/main/src/utils/LibBitmap.sol)
/// @author Modified from Solmate (https://github.com/transmissions11/solmate/blob/main/src/utils/LibBitmap.sol)
/// @author Modified from Solidity-Bits (https://github.com/estarriolvetch/solidity-bits/blob/main/contracts/BitMaps.sol)
library LibBitmap {
    /*´:°•.°+.*•´.*:˚.°*.˚•´.°:°•.°•.*•´.*:˚.°*.˚•´.°:°•.°+.*•´.*:*/
    /*                         CONSTANTS                          */
    /*.•°:°.´+˚.*°.˚:*.´•*.+°.•°:´*.´•*.•°.•°:°.´:•˚°.*°.˚:*.´+°.•*/

    /// @dev The constant returned when a bitmap scan does not find a result.
    uint256 internal constant NOT_FOUND = type(uint256).max;

    /*´:°•.°+.*•´.*:˚.°*.˚•´.°:°•.°•.*•´.*:˚.°*.˚•´.°:°•.°+.*•´.*:*/
    /*                          STRUCTS                           */
    /*.•°:°.´+˚.*°.˚:*.´•*.+°.•°:´*.´•*.•°.•°:°.´:•˚°.*°.˚:*.´+°.•*/

    /// @dev A bitmap in storage.
    struct Bitmap {
        mapping(uint256 => uint256) map;
    }

    /*´:°•.°+.*•´.*:˚.°*.˚•´.°:°•.°•.*•´.*:˚.°*.˚•´.°:°•.°+.*•´.*:*/
    /*                         OPERATIONS                         */
    /*.•°:°.´+˚.*°.˚:*.´•*.+°.•°:´*.´•*.•°.•°:°.´:•˚°.*°.˚:*.´+°.•*/

    /// @dev Returns the boolean value of the bit at `index` in `bitmap`.
    function get(Bitmap storage bitmap, uint256 index) internal view returns (bool isSet) {
        // It is better to set `isSet` to either 0 or 1, than zero vs non-zero.
        // Both cost the same amount of gas, but the former allows the returned value
        // to be reused without cleaning the upper bits.
        uint256 b = (bitmap.map[index >> 8] >> (index & 0xff)) & 1;
        /// @solidity memory-safe-assembly
        assembly {
            isSet := b
        }
    }

    /// @dev Updates the bit at `index` in `bitmap` to true.
    function set(Bitmap storage bitmap, uint256 index) internal {
        bitmap.map[index >> 8] |= (1 << (index & 0xff));
    }

    /// @dev Updates the bit at `index` in `bitmap` to false.
    function unset(Bitmap storage bitmap, uint256 index) internal {
        bitmap.map[index >> 8] &= ~(1 << (index & 0xff));
    }

    /// @dev Flips the bit at `index` in `bitmap`.
    /// Returns the boolean result of the flipped bit.
    function toggle(Bitmap storage bitmap, uint256 index) internal returns (bool newIsSet) {
        /// @solidity memory-safe-assembly
        assembly {
            mstore(0x20, bitmap.slot)
            mstore(0x00, shr(8, index))
            let storageSlot := keccak256(0x00, 0x40)
            let shift := and(index, 0xff)
            let storageValue := xor(sload(storageSlot), shl(shift, 1))
            // It makes sense to return the `newIsSet`,
            // as it allow us to skip an additional warm `sload`,
            // and it costs minimal gas (about 15),
            // which may be optimized away if the returned value is unused.
            newIsSet := and(1, shr(shift, storageValue))
            sstore(storageSlot, storageValue)
        }
    }

    /// @dev Updates the bit at `index` in `bitmap` to `shouldSet`.
    function setTo(Bitmap storage bitmap, uint256 index, bool shouldSet) internal {
        /// @solidity memory-safe-assembly
        assembly {
            mstore(0x20, bitmap.slot)
            mstore(0x00, shr(8, index))
            let storageSlot := keccak256(0x00, 0x40)
            let storageValue := sload(storageSlot)
            let shift := and(index, 0xff)
            sstore(
                storageSlot,
                // Unsets the bit at `shift` via `and`, then sets its new value via `or`.
                or(and(storageValue, not(shl(shift, 1))), shl(shift, iszero(iszero(shouldSet))))
            )
        }
    }

    /// @dev Consecutively sets `amount` of bits starting from the bit at `start`.
    function setBatch(Bitmap storage bitmap, uint256 start, uint256 amount) internal {
        /// @solidity memory-safe-assembly
        assembly {
            let max := not(0)
            let shift := and(start, 0xff)
            mstore(0x20, bitmap.slot)
            mstore(0x00, shr(8, start))
            if iszero(lt(add(shift, amount), 257)) {
                let storageSlot := keccak256(0x00, 0x40)
                sstore(storageSlot, or(sload(storageSlot), shl(shift, max)))
                let bucket := add(mload(0x00), 1)
                let bucketEnd := add(mload(0x00), shr(8, add(amount, shift)))
                amount := and(add(amount, shift), 0xff)
                shift := 0
                for {} iszero(eq(bucket, bucketEnd)) { bucket := add(bucket, 1) } {
                    mstore(0x00, bucket)
                    sstore(keccak256(0x00, 0x40), max)
                }
                mstore(0x00, bucket)
            }
            let storageSlot := keccak256(0x00, 0x40)
            sstore(storageSlot, or(sload(storageSlot), shl(shift, shr(sub(256, amount), max))))
        }
    }

    /// @dev Consecutively unsets `amount` of bits starting from the bit at `start`.
    function unsetBatch(Bitmap storage bitmap, uint256 start, uint256 amount) internal {
        /// @solidity memory-safe-assembly
        assembly {
            let shift := and(start, 0xff)
            mstore(0x20, bitmap.slot)
            mstore(0x00, shr(8, start))
            if iszero(lt(add(shift, amount), 257)) {
                let storageSlot := keccak256(0x00, 0x40)
                sstore(storageSlot, and(sload(storageSlot), not(shl(shift, not(0)))))
                let bucket := add(mload(0x00), 1)
                let bucketEnd := add(mload(0x00), shr(8, add(amount, shift)))
                amount := and(add(amount, shift), 0xff)
                shift := 0
                for {} iszero(eq(bucket, bucketEnd)) { bucket := add(bucket, 1) } {
                    mstore(0x00, bucket)
                    sstore(keccak256(0x00, 0x40), 0)
                }
                mstore(0x00, bucket)
            }
            let storageSlot := keccak256(0x00, 0x40)
            sstore(
                storageSlot, and(sload(storageSlot), not(shl(shift, shr(sub(256, amount), not(0)))))
            )
        }
    }

    /// @dev Returns number of set bits within a range by
    /// scanning `amount` of bits starting from the bit at `start`.
    function popCount(Bitmap storage bitmap, uint256 start, uint256 amount)
        internal
        view
        returns (uint256 count)
    {
        unchecked {
            uint256 bucket = start >> 8;
            uint256 shift = start & 0xff;
            if (!(amount + shift < 257)) {
                count = LibBit.popCount(bitmap.map[bucket] >> shift);
                uint256 bucketEnd = bucket + ((amount + shift) >> 8);
                amount = (amount + shift) & 0xff;
                shift = 0;
                for (++bucket; bucket != bucketEnd; ++bucket) {
                    count += LibBit.popCount(bitmap.map[bucket]);
                }
            }
            count += LibBit.popCount((bitmap.map[bucket] >> shift) << (256 - amount));
        }
    }

    /// @dev Returns the index of the most significant set bit before the bit at `before`.
    /// If no set bit is found, returns `NOT_FOUND`.
    function findLastSet(Bitmap storage bitmap, uint256 before)
        internal
        view
        returns (uint256 setBitIndex)
    {
        uint256 bucket;
        uint256 bucketBits;
        /// @solidity memory-safe-assembly
        assembly {
            setBitIndex := not(0)
            bucket := shr(8, before)
            mstore(0x00, bucket)
            mstore(0x20, bitmap.slot)
            let offset := and(0xff, not(before)) // `256 - (255 & before) - 1`.
            bucketBits := shr(offset, shl(offset, sload(keccak256(0x00, 0x40))))
            if iszero(or(bucketBits, iszero(bucket))) {
                for {} 1 {} {
                    bucket := add(bucket, setBitIndex) // `sub(bucket, 1)`.
                    mstore(0x00, bucket)
                    bucketBits := sload(keccak256(0x00, 0x40))
                    if or(bucketBits, iszero(bucket)) { break }
                }
            }
        }
        if (bucketBits != 0) {
            setBitIndex = (bucket << 8) | LibBit.fls(bucketBits);
            /// @solidity memory-safe-assembly
            assembly {
                setBitIndex := or(setBitIndex, sub(0, gt(setBitIndex, before)))
            }
        }
    }
}


// SPDX-License-Identifier: MIT
pragma solidity ^0.8.4;

/// @notice Library for storage of packed unsigned integers.
/// @author Solady (https://github.com/vectorized/solady/blob/main/src/utils/LibMap.sol)
library LibMap {
    /*´:°•.°+.*•´.*:˚.°*.˚•´.°:°•.°•.*•´.*:˚.°*.˚•´.°:°•.°+.*•´.*:*/
    /*                          STRUCTS                           */
    /*.•°:°.´+˚.*°.˚:*.´•*.+°.•°:´*.´•*.•°.•°:°.´:•˚°.*°.˚:*.´+°.•*/

    /// @dev A uint8 map in storage.
    struct Uint8Map {
        mapping(uint256 => uint256) map;
    }

    /// @dev A uint16 map in storage.
    struct Uint16Map {
        mapping(uint256 => uint256) map;
    }

    /// @dev A uint32 map in storage.
    struct Uint32Map {
        mapping(uint256 => uint256) map;
    }

    /// @dev A uint40 map in storage. Useful for storing timestamps up to 34841 A.D.
    struct Uint40Map {
        mapping(uint256 => uint256) map;
    }

    /// @dev A uint64 map in storage.
    struct Uint64Map {
        mapping(uint256 => uint256) map;
    }

    /// @dev A uint128 map in storage.
    struct Uint128Map {
        mapping(uint256 => uint256) map;
    }

    /*´:°•.°+.*•´.*:˚.°*.˚•´.°:°•.°•.*•´.*:˚.°*.˚•´.°:°•.°+.*•´.*:*/
    /*                     GETTERS / SETTERS                      */
    /*.•°:°.´+˚.*°.˚:*.´•*.+°.•°:´*.´•*.•°.•°:°.´:•˚°.*°.˚:*.´+°.•*/

    /// @dev Returns the uint8 value at `index` in `map`.
    function get(Uint8Map storage map, uint256 index) internal view returns (uint8 result) {
        /// @solidity memory-safe-assembly
        assembly {
            mstore(0x20, map.slot)
            mstore(0x00, shr(5, index))
            result := byte(and(31, not(index)), sload(keccak256(0x00, 0x40)))
        }
    }

    /// @dev Updates the uint8 value at `index` in `map`.
    function set(Uint8Map storage map, uint256 index, uint8 value) internal {
        /// @solidity memory-safe-assembly
        assembly {
            mstore(0x20, map.slot)
            mstore(0x00, shr(5, index))
            let s := keccak256(0x00, 0x40) // Storage slot.
            mstore(0x00, sload(s))
            mstore8(and(31, not(index)), value)
            sstore(s, mload(0x00))
        }
    }

    /// @dev Returns the uint16 value at `index` in `map`.
    function get(Uint16Map storage map, uint256 index) internal view returns (uint16 result) {
        result = uint16(map.map[index >> 4] >> ((index & 15) << 4));
    }

    /// @dev Updates the uint16 value at `index` in `map`.
    function set(Uint16Map storage map, uint256 index, uint16 value) internal {
        /// @solidity memory-safe-assembly
        assembly {
            mstore(0x20, map.slot)
            mstore(0x00, shr(4, index))
            let s := keccak256(0x00, 0x40) // Storage slot.
            let o := shl(4, and(index, 15)) // Storage slot offset (bits).
            let v := sload(s) // Storage slot value.
            let m := 0xffff // Value mask.
            sstore(s, xor(v, shl(o, and(m, xor(shr(o, v), value)))))
        }
    }

    /// @dev Returns the uint32 value at `index` in `map`.
    function get(Uint32Map storage map, uint256 index) internal view returns (uint32 result) {
        result = uint32(map.map[index >> 3] >> ((index & 7) << 5));
    }

    /// @dev Updates the uint32 value at `index` in `map`.
    function set(Uint32Map storage map, uint256 index, uint32 value) internal {
        /// @solidity memory-safe-assembly
        assembly {
            mstore(0x20, map.slot)
            mstore(0x00, shr(3, index))
            let s := keccak256(0x00, 0x40) // Storage slot.
            let o := shl(5, and(index, 7)) // Storage slot offset (bits).
            let v := sload(s) // Storage slot value.
            let m := 0xffffffff // Value mask.
            sstore(s, xor(v, shl(o, and(m, xor(shr(o, v), value)))))
        }
    }

    /// @dev Returns the uint40 value at `index` in `map`.
    function get(Uint40Map storage map, uint256 index) internal view returns (uint40 result) {
        unchecked {
            result = uint40(map.map[index / 6] >> ((index % 6) * 40));
        }
    }

    /// @dev Updates the uint40 value at `index` in `map`.
    function set(Uint40Map storage map, uint256 index, uint40 value) internal {
        /// @solidity memory-safe-assembly
        assembly {
            mstore(0x20, map.slot)
            mstore(0x00, div(index, 6))
            let s := keccak256(0x00, 0x40) // Storage slot.
            let o := mul(40, mod(index, 6)) // Storage slot offset (bits).
            let v := sload(s) // Storage slot value.
            let m := 0xffffffffff // Value mask.
            sstore(s, xor(v, shl(o, and(m, xor(shr(o, v), value)))))
        }
    }

    /// @dev Returns the uint64 value at `index` in `map`.
    function get(Uint64Map storage map, uint256 index) internal view returns (uint64 result) {
        result = uint64(map.map[index >> 2] >> ((index & 3) << 6));
    }

    /// @dev Updates the uint64 value at `index` in `map`.
    function set(Uint64Map storage map, uint256 index, uint64 value) internal {
        /// @solidity memory-safe-assembly
        assembly {
            mstore(0x20, map.slot)
            mstore(0x00, shr(2, index))
            let s := keccak256(0x00, 0x40) // Storage slot.
            let o := shl(6, and(index, 3)) // Storage slot offset (bits).
            let v := sload(s) // Storage slot value.
            let m := 0xffffffffffffffff // Value mask.
            sstore(s, xor(v, shl(o, and(m, xor(shr(o, v), value)))))
        }
    }

    /// @dev Returns the uint128 value at `index` in `map`.
    function get(Uint128Map storage map, uint256 index) internal view returns (uint128 result) {
        result = uint128(map.map[index >> 1] >> ((index & 1) << 7));
    }

    /// @dev Updates the uint128 value at `index` in `map`.
    function set(Uint128Map storage map, uint256 index, uint128 value) internal {
        /// @solidity memory-safe-assembly
        assembly {
            mstore(0x20, map.slot)
            mstore(0x00, shr(1, index))
            let s := keccak256(0x00, 0x40) // Storage slot.
            let o := shl(7, and(index, 1)) // Storage slot offset (bits).
            let v := sload(s) // Storage slot value.
            let m := 0xffffffffffffffffffffffffffffffff // Value mask.
            sstore(s, xor(v, shl(o, and(m, xor(shr(o, v), value)))))
        }
    }

    /// @dev Returns the value at `index` in `map`.
    function get(mapping(uint256 => uint256) storage map, uint256 index, uint256 bitWidth)
        internal
        view
        returns (uint256 result)
    {
        unchecked {
            uint256 d = _rawDiv(256, bitWidth); // Bucket size.
            uint256 m = (1 << bitWidth) - 1; // Value mask.
            result = (map[_rawDiv(index, d)] >> (_rawMod(index, d) * bitWidth)) & m;
        }
    }

    /// @dev Updates the value at `index` in `map`.
    function set(
        mapping(uint256 => uint256) storage map,
        uint256 index,
        uint256 value,
        uint256 bitWidth
    ) internal {
        unchecked {
            uint256 d = _rawDiv(256, bitWidth); // Bucket size.
            uint256 m = (1 << bitWidth) - 1; // Value mask.
            uint256 o = _rawMod(index, d) * bitWidth; // Storage slot offset (bits).
            map[_rawDiv(index, d)] ^= (((map[_rawDiv(index, d)] >> o) ^ value) & m) << o;
        }
    }

    /*´:°•.°+.*•´.*:˚.°*.˚•´.°:°•.°•.*•´.*:˚.°*.˚•´.°:°•.°+.*•´.*:*/
    /*                       BINARY SEARCH                        */
    /*.•°:°.´+˚.*°.˚:*.´•*.+°.•°:´*.´•*.•°.•°:°.´:•˚°.*°.˚:*.´+°.•*/

    // The following functions search in the range of [`start`, `end`)
    // (i.e. `start <= index < end`).
    // The range must be sorted in ascending order.
    // `index` precedence: equal to > nearest before > nearest after.
    // An invalid search range will simply return `(found = false, index = start)`.

    /// @dev Returns whether `map` contains `needle`, and the index of `needle`.
    function searchSorted(Uint8Map storage map, uint8 needle, uint256 start, uint256 end)
        internal
        view
        returns (bool found, uint256 index)
    {
        return searchSorted(map.map, needle, start, end, 8);
    }

    /// @dev Returns whether `map` contains `needle`, and the index of `needle`.
    function searchSorted(Uint16Map storage map, uint16 needle, uint256 start, uint256 end)
        internal
        view
        returns (bool found, uint256 index)
    {
        return searchSorted(map.map, needle, start, end, 16);
    }

    /// @dev Returns whether `map` contains `needle`, and the index of `needle`.
    function searchSorted(Uint32Map storage map, uint32 needle, uint256 start, uint256 end)
        internal
        view
        returns (bool found, uint256 index)
    {
        return searchSorted(map.map, needle, start, end, 32);
    }

    /// @dev Returns whether `map` contains `needle`, and the index of `needle`.
    function searchSorted(Uint40Map storage map, uint40 needle, uint256 start, uint256 end)
        internal
        view
        returns (bool found, uint256 index)
    {
        return searchSorted(map.map, needle, start, end, 40);
    }

    /// @dev Returns whether `map` contains `needle`, and the index of `needle`.
    function searchSorted(Uint64Map storage map, uint64 needle, uint256 start, uint256 end)
        internal
        view
        returns (bool found, uint256 index)
    {
        return searchSorted(map.map, needle, start, end, 64);
    }

    /// @dev Returns whether `map` contains `needle`, and the index of `needle`.
    function searchSorted(Uint128Map storage map, uint128 needle, uint256 start, uint256 end)
        internal
        view
        returns (bool found, uint256 index)
    {
        return searchSorted(map.map, needle, start, end, 128);
    }

    /// @dev Returns whether `map` contains `needle`, and the index of `needle`.
    function searchSorted(
        mapping(uint256 => uint256) storage map,
        uint256 needle,
        uint256 start,
        uint256 end,
        uint256 bitWidth
    ) internal view returns (bool found, uint256 index) {
        unchecked {
            if (start >= end) end = start;
            uint256 t;
            uint256 o = start - 1; // Offset to derive the actual index.
            uint256 l = 1; // Low.
            uint256 d = _rawDiv(256, bitWidth); // Bucket size.
            uint256 m = (1 << bitWidth) - 1; // Value mask.
            uint256 h = end - start; // High.
            while (true) {
                index = (l & h) + ((l ^ h) >> 1);
                if (l > h) break;
                t = (map[_rawDiv(index + o, d)] >> (_rawMod(index + o, d) * bitWidth)) & m;
                if (t == needle) break;
                if (needle <= t) h = index - 1;
                else l = index + 1;
            }
            /// @solidity memory-safe-assembly
            assembly {
                m := or(iszero(index), iszero(bitWidth))
                found := iszero(or(xor(t, needle), m))
                index := add(o, xor(index, mul(xor(index, 1), m)))
            }
        }
    }

    /*´:°•.°+.*•´.*:˚.°*.˚•´.°:°•.°•.*•´.*:˚.°*.˚•´.°:°•.°+.*•´.*:*/
    /*                      PRIVATE HELPERS                       */
    /*.•°:°.´+˚.*°.˚:*.´•*.+°.•°:´*.´•*.•°.•°:°.´:•˚°.*°.˚:*.´+°.•*/

    /// @dev Returns `x / y`, returning 0 if `y` is zero.
    function _rawDiv(uint256 x, uint256 y) private pure returns (uint256 z) {
        /// @solidity memory-safe-assembly
        assembly {
            z := div(x, y)
        }
    }

    /// @dev Returns `x % y`, returning 0 if `y` is zero.
    function _rawMod(uint256 x, uint256 y) private pure returns (uint256 z) {
        /// @solidity memory-safe-assembly
        assembly {
            z := mod(x, y)
        }
    }
}


// SPDX-License-Identifier: MIT
pragma solidity ^0.8.4;

/// @notice Library for generating pseudorandom numbers.
/// @author Solady (https://github.com/vectorized/solady/blob/main/src/utils/LibPRNG.sol)
library LibPRNG {
    /*´:°•.°+.*•´.*:˚.°*.˚•´.°:°•.°•.*•´.*:˚.°*.˚•´.°:°•.°+.*•´.*:*/
    /*                          STRUCTS                           */
    /*.•°:°.´+˚.*°.˚:*.´•*.+°.•°:´*.´•*.•°.•°:°.´:•˚°.*°.˚:*.´+°.•*/

    /// @dev A pseudorandom number state in memory.
    struct PRNG {
        uint256 state;
    }

    /*´:°•.°+.*•´.*:˚.°*.˚•´.°:°•.°•.*•´.*:˚.°*.˚•´.°:°•.°+.*•´.*:*/
    /*                         OPERATIONS                         */
    /*.•°:°.´+˚.*°.˚:*.´•*.+°.•°:´*.´•*.•°.•°:°.´:•˚°.*°.˚:*.´+°.•*/

    /// @dev Seeds the `prng` with `state`.
    function seed(PRNG memory prng, uint256 state) internal pure {
        /// @solidity memory-safe-assembly
        assembly {
            mstore(prng, state)
        }
    }

    /// @dev Returns the next pseudorandom uint256.
    /// All bits of the returned uint256 pass the NIST Statistical Test Suite.
    function next(PRNG memory prng) internal pure returns (uint256 result) {
        // We simply use `keccak256` for a great balance between
        // runtime gas costs, bytecode size, and statistical properties.
        //
        // A high-quality LCG with a 32-byte state
        // is only about 30% more gas efficient during runtime,
        // but requires a 32-byte multiplier, which can cause bytecode bloat
        // when this function is inlined.
        //
        // Using this method is about 2x more efficient than
        // `nextRandomness = uint256(keccak256(abi.encode(randomness)))`.
        /// @solidity memory-safe-assembly
        assembly {
            result := keccak256(prng, 0x20)
            mstore(prng, result)
        }
    }

    /// @dev Returns a pseudorandom uint256, uniformly distributed
    /// between 0 (inclusive) and `upper` (exclusive).
    /// If your modulus is big, this method is recommended
    /// for uniform sampling to avoid modulo bias.
    /// For uniform sampling across all uint256 values,
    /// or for small enough moduli such that the bias is neligible,
    /// use {next} instead.
    function uniform(PRNG memory prng, uint256 upper) internal pure returns (uint256 result) {
        /// @solidity memory-safe-assembly
        assembly {
            for {} 1 {} {
                result := keccak256(prng, 0x20)
                mstore(prng, result)
                if iszero(lt(result, mod(sub(0, upper), upper))) { break }
            }
            result := mod(result, upper)
        }
    }

    /// @dev Shuffles the array in-place with Fisher-Yates shuffle.
    function shuffle(PRNG memory prng, uint256[] memory a) internal pure {
        /// @solidity memory-safe-assembly
        assembly {
            let n := mload(a)
            let w := not(0)
            let mask := shr(128, w)
            if n {
                for { a := add(a, 0x20) } 1 {} {
                    // We can just directly use `keccak256`, cuz
                    // the other approaches don't save much.
                    let r := keccak256(prng, 0x20)
                    mstore(prng, r)

                    // Note that there will be a very tiny modulo bias
                    // if the length of the array is not a power of 2.
                    // For all practical purposes, it is negligible
                    // and will not be a fairness or security concern.
                    {
                        let j := add(a, shl(5, mod(shr(128, r), n)))
                        n := add(n, w) // `sub(n, 1)`.
                        if iszero(n) { break }

                        let i := add(a, shl(5, n))
                        let t := mload(i)
                        mstore(i, mload(j))
                        mstore(j, t)
                    }

                    {
                        let j := add(a, shl(5, mod(and(r, mask), n)))
                        n := add(n, w) // `sub(n, 1)`.
                        if iszero(n) { break }

                        let i := add(a, shl(5, n))
                        let t := mload(i)
                        mstore(i, mload(j))
                        mstore(j, t)
                    }
                }
            }
        }
    }

    /// @dev Shuffles the bytes in-place with Fisher-Yates shuffle.
    function shuffle(PRNG memory prng, bytes memory a) internal pure {
        /// @solidity memory-safe-assembly
        assembly {
            let n := mload(a)
            let w := not(0)
            let mask := shr(128, w)
            if n {
                let b := add(a, 0x01)
                for { a := add(a, 0x20) } 1 {} {
                    // We can just directly use `keccak256`, cuz
                    // the other approaches don't save much.
                    let r := keccak256(prng, 0x20)
                    mstore(prng, r)

                    // Note that there will be a very tiny modulo bias
                    // if the length of the array is not a power of 2.
                    // For all practical purposes, it is negligible
                    // and will not be a fairness or security concern.
                    {
                        let o := mod(shr(128, r), n)
                        n := add(n, w) // `sub(n, 1)`.
                        if iszero(n) { break }

                        let t := mload(add(b, n))
                        mstore8(add(a, n), mload(add(b, o)))
                        mstore8(add(a, o), t)
                    }

                    {
                        let o := mod(and(r, mask), n)
                        n := add(n, w) // `sub(n, 1)`.
                        if iszero(n) { break }

                        let t := mload(add(b, n))
                        mstore8(add(a, n), mload(add(b, o)))
                        mstore8(add(a, o), t)
                    }
                }
            }
        }
    }
}


// SPDX-License-Identifier: MIT
pragma solidity ^0.8.4;

/// @notice Library for computing contract addresses from their deployer and nonce.
/// @author Solady (https://github.com/vectorized/solady/blob/main/src/utils/LibRLP.sol)
/// @author Modified from Solmate (https://github.com/transmissions11/solmate/blob/main/src/utils/LibRLP.sol)
library LibRLP {
    /// @dev Returns the address where a contract will be stored if deployed via
    /// `deployer` with `nonce` using the `CREATE` opcode.
    /// For the specification of the Recursive Length Prefix (RLP)
    /// encoding scheme, please refer to p. 19 of the Ethereum Yellow Paper
    /// (https://ethereum.github.io/yellowpaper/paper.pdf)
    /// and the Ethereum Wiki (https://eth.wiki/fundamentals/rlp).
    ///
    /// Based on the EIP-161 (https://github.com/ethereum/EIPs/blob/master/EIPS/eip-161.md)
    /// specification, all contract accounts on the Ethereum mainnet are initiated with
    /// `nonce = 1`. Thus, the first contract address created by another contract
    /// is calculated with a non-zero nonce.
    ///
    /// The theoretical allowed limit, based on EIP-2681
    /// (https://eips.ethereum.org/EIPS/eip-2681), for an account nonce is 2**64-2.
    ///
    /// Caution! This function will NOT check that the nonce is within the theoretical range.
    /// This is for performance, as exceeding the range is extremely impractical.
    /// It is the user's responsibility to ensure that the nonce is valid
    /// (e.g. no dirty bits after packing / unpacking).
    ///
    /// Note: The returned result has dirty upper 96 bits. Please clean if used in assembly.
    function computeAddress(address deployer, uint256 nonce)
        internal
        pure
        returns (address deployed)
    {
        /// @solidity memory-safe-assembly
        assembly {
            for {} 1 {} {
                // The integer zero is treated as an empty byte string,
                // and as a result it only has a length prefix, 0x80,
                // computed via `0x80 + 0`.

                // A one-byte integer in the [0x00, 0x7f] range uses its
                // own value as a length prefix,
                // there is no additional `0x80 + length` prefix that precedes it.
                if iszero(gt(nonce, 0x7f)) {
                    mstore(0x00, deployer)
                    // Using `mstore8` instead of `or` naturally cleans
                    // any dirty upper bits of `deployer`.
                    mstore8(0x0b, 0x94)
                    mstore8(0x0a, 0xd6)
                    // `shl` 7 is equivalent to multiplying by 0x80.
                    mstore8(0x20, or(shl(7, iszero(nonce)), nonce))
                    deployed := keccak256(0x0a, 0x17)
                    break
                }
                let i := 8
                // Just use a loop to generalize all the way with minimal bytecode size.
                for {} shr(i, nonce) { i := add(i, 8) } {}
                // `shr` 3 is equivalent to dividing by 8.
                i := shr(3, i)
                // Store in descending slot sequence to overlap the values correctly.
                mstore(i, nonce)
                mstore(0x00, shl(8, deployer))
                mstore8(0x1f, add(0x80, i))
                mstore8(0x0a, 0x94)
                mstore8(0x09, add(0xd6, i))
                deployed := keccak256(0x09, add(0x17, i))
                break
            }
        }
    }
}


// SPDX-License-Identifier: MIT
pragma solidity ^0.8.4;

/// @notice Library for compressing and decompressing bytes.
/// @author Solady (https://github.com/vectorized/solady/blob/main/src/utils/LibZip.sol)
/// @author Calldata compression by clabby (https://github.com/clabby/op-kompressor)
/// @author FastLZ by ariya (https://github.com/ariya/FastLZ)
///
/// @dev Note:
/// The accompanying solady.js library includes implementations of
/// FastLZ and calldata operations for convenience.
library LibZip {
    /*´:°•.°+.*•´.*:˚.°*.˚•´.°:°•.°•.*•´.*:˚.°*.˚•´.°:°•.°+.*•´.*:*/
    /*                     FAST LZ OPERATIONS                     */
    /*.•°:°.´+˚.*°.˚:*.´•*.+°.•°:´*.´•*.•°.•°:°.´:•˚°.*°.˚:*.´+°.•*/

    // LZ77 implementation based on FastLZ.
    // Equivalent to level 1 compression and decompression at the following commit:
    // https://github.com/ariya/FastLZ/commit/344eb4025f9ae866ebf7a2ec48850f7113a97a42
    // Decompression is backwards compatible.

    /// @dev Returns the compressed `data`.
    function flzCompress(bytes memory data) internal pure returns (bytes memory result) {
        /// @solidity memory-safe-assembly
        assembly {
            function ms8(d_, v_) -> _d {
                mstore8(d_, v_)
                _d := add(d_, 1)
            }
            function u24(p_) -> _u {
                let w := mload(p_)
                _u := or(shl(16, byte(2, w)), or(shl(8, byte(1, w)), byte(0, w)))
            }
            function cmp(p_, q_, e_) -> _l {
                for { e_ := sub(e_, q_) } lt(_l, e_) { _l := add(_l, 1) } {
                    e_ := mul(iszero(byte(0, xor(mload(add(p_, _l)), mload(add(q_, _l))))), e_)
                }
            }
            function literals(runs_, src_, dest_) -> _o {
                for { _o := dest_ } iszero(lt(runs_, 0x20)) { runs_ := sub(runs_, 0x20) } {
                    mstore(ms8(_o, 31), mload(src_))
                    _o := add(_o, 0x21)
                    src_ := add(src_, 0x20)
                }
                if iszero(runs_) { leave }
                mstore(ms8(_o, sub(runs_, 1)), mload(src_))
                _o := add(1, add(_o, runs_))
            }
            function match(l_, d_, o_) -> _o {
                for { d_ := sub(d_, 1) } iszero(lt(l_, 263)) { l_ := sub(l_, 262) } {
                    o_ := ms8(ms8(ms8(o_, add(224, shr(8, d_))), 253), and(0xff, d_))
                }
                if iszero(lt(l_, 7)) {
                    _o := ms8(ms8(ms8(o_, add(224, shr(8, d_))), sub(l_, 7)), and(0xff, d_))
                    leave
                }
                _o := ms8(ms8(o_, add(shl(5, l_), shr(8, d_))), and(0xff, d_))
            }
            function setHash(i_, v_) {
                let p := add(mload(0x40), shl(2, i_))
                mstore(p, xor(mload(p), shl(224, xor(shr(224, mload(p)), v_))))
            }
            function getHash(i_) -> _h {
                _h := shr(224, mload(add(mload(0x40), shl(2, i_))))
            }
            function hash(v_) -> _r {
                _r := and(shr(19, mul(2654435769, v_)), 0x1fff)
            }
            function setNextHash(ip_, ipStart_) -> _ip {
                setHash(hash(u24(ip_)), sub(ip_, ipStart_))
                _ip := add(ip_, 1)
            }
            codecopy(mload(0x40), codesize(), 0x8000) // Zeroize the hashmap.
            let op := add(mload(0x40), 0x8000)
            let a := add(data, 0x20)
            let ipStart := a
            let ipLimit := sub(add(ipStart, mload(data)), 13)
            for { let ip := add(2, a) } lt(ip, ipLimit) {} {
                let r := 0
                let d := 0
                for {} 1 {} {
                    let s := u24(ip)
                    let h := hash(s)
                    r := add(ipStart, getHash(h))
                    setHash(h, sub(ip, ipStart))
                    d := sub(ip, r)
                    if iszero(lt(ip, ipLimit)) { break }
                    ip := add(ip, 1)
                    if iszero(gt(d, 0x1fff)) { if eq(s, u24(r)) { break } }
                }
                if iszero(lt(ip, ipLimit)) { break }
                ip := sub(ip, 1)
                if gt(ip, a) { op := literals(sub(ip, a), a, op) }
                let l := cmp(add(r, 3), add(ip, 3), add(ipLimit, 9))
                op := match(l, d, op)
                ip := setNextHash(setNextHash(add(ip, l), ipStart), ipStart)
                a := ip
            }
            op := literals(sub(add(ipStart, mload(data)), a), a, op)
            result := mload(0x40)
            let t := add(result, 0x8000)
            let n := sub(op, t)
            mstore(result, n) // Store the length.
            // Copy the result to compact the memory, overwriting the hashmap.
            let o := add(result, 0x20)
            for { let i } lt(i, n) { i := add(i, 0x20) } { mstore(add(o, i), mload(add(t, i))) }
            mstore(add(o, n), 0) // Zeroize the slot after the string.
            mstore(0x40, add(add(o, n), 0x20)) // Allocate the memory.
        }
    }

    /// @dev Returns the decompressed `data`.
    function flzDecompress(bytes memory data) internal pure returns (bytes memory result) {
        /// @solidity memory-safe-assembly
        assembly {
            let n := 0
            let end := add(add(data, 0x20), mload(data))
            result := mload(0x40)
            let op := add(result, 0x20)
            for { data := add(data, 0x20) } lt(data, end) {} {
                let w := mload(data)
                let c := byte(0, w)
                let t := shr(5, c)
                if iszero(t) {
                    mstore(add(op, n), mload(add(data, 1)))
                    data := add(data, add(2, c))
                    n := add(n, add(1, c))
                    continue
                }
                let g := eq(t, 7)
                let l := add(2, xor(t, mul(g, xor(t, add(7, byte(1, w))))))
                for {
                    let s := add(add(shl(8, and(0x1f, c)), byte(add(1, g), w)), 1)
                    let r := add(op, sub(n, s))
                    let o := add(op, n)
                    let f := xor(s, mul(gt(s, 0x20), xor(s, 0x20)))
                    let j := 0
                } 1 {} {
                    mstore(add(o, j), mload(add(r, j)))
                    j := add(j, f)
                    if iszero(lt(j, l)) { break }
                }
                data := add(data, add(2, g))
                n := add(n, l)
            }
            mstore(result, n) // Store the length.
            let o := add(add(result, 0x20), n)
            mstore(o, 0) // Zeroize the slot after the string.
            mstore(0x40, add(o, 0x20)) // Allocate the memory.
        }
    }

    /*´:°•.°+.*•´.*:˚.°*.˚•´.°:°•.°•.*•´.*:˚.°*.˚•´.°:°•.°+.*•´.*:*/
    /*                    CALLDATA OPERATIONS                     */
    /*.•°:°.´+˚.*°.˚:*.´•*.+°.•°:´*.´•*.•°.•°:°.´:•˚°.*°.˚:*.´+°.•*/

    // Calldata compression and decompression using selective run length encoding:
    // - Sequences of 0x00 (up to 128 consecutive).
    // - Sequences of 0xff (up to 32 consecutive).
    //
    // A run length encoded block consists of two bytes:
    // (0) 0x00
    // (1) A control byte with the following bit layout:
    //     - [7]     `0: 0x00, 1: 0xff`.
    //     - [0..6]  `runLength - 1`.
    //
    // The first 4 bytes are bitwise negated so that the compressed calldata
    // can be dispatched into the `fallback` and `receive` functions.

    /// @dev Returns the compressed `data`.
    function cdCompress(bytes memory data) internal pure returns (bytes memory result) {
        /// @solidity memory-safe-assembly
        assembly {
            function rle(v_, o_, d_) -> _o, _d {
                mstore(o_, shl(240, or(and(0xff, add(d_, 0xff)), and(0x80, v_))))
                _o := add(o_, 2)
            }
            result := mload(0x40)
            let o := add(result, 0x20)
            let z := 0 // Number of consecutive 0x00.
            let y := 0 // Number of consecutive 0xff.
            for { let end := add(data, mload(data)) } iszero(eq(data, end)) {} {
                data := add(data, 1)
                let c := byte(31, mload(data))
                if iszero(c) {
                    if y { o, y := rle(0xff, o, y) }
                    z := add(z, 1)
                    if eq(z, 0x80) { o, z := rle(0x00, o, 0x80) }
                    continue
                }
                if eq(c, 0xff) {
                    if z { o, z := rle(0x00, o, z) }
                    y := add(y, 1)
                    if eq(y, 0x20) { o, y := rle(0xff, o, 0x20) }
                    continue
                }
                if y { o, y := rle(0xff, o, y) }
                if z { o, z := rle(0x00, o, z) }
                mstore8(o, c)
                o := add(o, 1)
            }
            if y { o, y := rle(0xff, o, y) }
            if z { o, z := rle(0x00, o, z) }
            // Bitwise negate the first 4 bytes.
            mstore(add(result, 4), not(mload(add(result, 4))))
            mstore(result, sub(o, add(result, 0x20))) // Store the length.
            mstore(o, 0) // Zeroize the slot after the string.
            mstore(0x40, add(o, 0x20)) // Allocate the memory.
        }
    }

    /// @dev Returns the decompressed `data`.
    function cdDecompress(bytes memory data) internal pure returns (bytes memory result) {
        /// @solidity memory-safe-assembly
        assembly {
            if mload(data) {
                result := mload(0x40)
                let o := add(result, 0x20)
                let s := add(data, 4)
                let v := mload(s)
                let end := add(data, mload(data))
                mstore(s, not(v)) // Bitwise negate the first 4 bytes.
                for {} lt(data, end) {} {
                    data := add(data, 1)
                    let c := byte(31, mload(data))
                    if iszero(c) {
                        data := add(data, 1)
                        let d := byte(31, mload(data))
                        // Fill with either 0xff or 0x00.
                        mstore(o, not(0))
                        if iszero(gt(d, 0x7f)) { codecopy(o, codesize(), add(d, 1)) }
                        o := add(o, add(and(d, 0x7f), 1))
                        continue
                    }
                    mstore8(o, c)
                    o := add(o, 1)
                }
                mstore(s, v) // Restore the first 4 bytes.
                mstore(result, sub(o, add(result, 0x20))) // Store the length.
                mstore(o, 0) // Zeroize the slot after the string.
                mstore(0x40, add(o, 0x20)) // Allocate the memory.
            }
        }
    }

    /// @dev To be called in the `receive` and `fallback` functions.
    /// ```
    ///     receive() external payable { LibZip.cdFallback(); }
    ///     fallback() external payable { LibZip.cdFallback(); }
    /// ```
    /// For efficiency, this function will directly return the results, terminating the context.
    /// If called internally, it must be called at the end of the function.
    function cdFallback() internal {
        assembly {
            if iszero(calldatasize()) { return(calldatasize(), calldatasize()) }
            let o := 0
            let f := not(3) // For negating the first 4 bytes.
            for { let i := 0 } lt(i, calldatasize()) {} {
                let c := byte(0, xor(add(i, f), calldataload(i)))
                i := add(i, 1)
                if iszero(c) {
                    let d := byte(0, xor(add(i, f), calldataload(i)))
                    i := add(i, 1)
                    // Fill with either 0xff or 0x00.
                    mstore(o, not(0))
                    if iszero(gt(d, 0x7f)) { codecopy(o, codesize(), add(d, 1)) }
                    o := add(o, add(and(d, 0x7f), 1))
                    continue
                }
                mstore8(o, c)
                o := add(o, 1)
            }
            let success := delegatecall(gas(), address(), 0x00, o, codesize(), 0x00)
            returndatacopy(0x00, 0x00, returndatasize())
            if iszero(success) { revert(0x00, returndatasize()) }
            return(0x00, returndatasize())
        }
    }
}


// SPDX-License-Identifier: MIT
pragma solidity ^0.8.4;

/// @notice Gas optimized verification of proof of inclusion for a leaf in a Merkle tree.
/// @author Solady (https://github.com/vectorized/solady/blob/main/src/utils/MerkleProofLib.sol)
/// @author Modified from Solmate (https://github.com/transmissions11/solmate/blob/main/src/utils/MerkleProofLib.sol)
/// @author Modified from OpenZeppelin (https://github.com/OpenZeppelin/openzeppelin-contracts/blob/master/contracts/utils/cryptography/MerkleProof.sol)
library MerkleProofLib {
    /*´:°•.°+.*•´.*:˚.°*.˚•´.°:°•.°•.*•´.*:˚.°*.˚•´.°:°•.°+.*•´.*:*/
    /*            MERKLE PROOF VERIFICATION OPERATIONS            */
    /*.•°:°.´+˚.*°.˚:*.´•*.+°.•°:´*.´•*.•°.•°:°.´:•˚°.*°.˚:*.´+°.•*/

    /// @dev Returns whether `leaf` exists in the Merkle tree with `root`, given `proof`.
    function verify(bytes32[] memory proof, bytes32 root, bytes32 leaf)
        internal
        pure
        returns (bool isValid)
    {
        /// @solidity memory-safe-assembly
        assembly {
            if mload(proof) {
                // Initialize `offset` to the offset of `proof` elements in memory.
                let offset := add(proof, 0x20)
                // Left shift by 5 is equivalent to multiplying by 0x20.
                let end := add(offset, shl(5, mload(proof)))
                // Iterate over proof elements to compute root hash.
                for {} 1 {} {
                    // Slot of `leaf` in scratch space.
                    // If the condition is true: 0x20, otherwise: 0x00.
                    let scratch := shl(5, gt(leaf, mload(offset)))
                    // Store elements to hash contiguously in scratch space.
                    // Scratch space is 64 bytes (0x00 - 0x3f) and both elements are 32 bytes.
                    mstore(scratch, leaf)
                    mstore(xor(scratch, 0x20), mload(offset))
                    // Reuse `leaf` to store the hash to reduce stack operations.
                    leaf := keccak256(0x00, 0x40)
                    offset := add(offset, 0x20)
                    if iszero(lt(offset, end)) { break }
                }
            }
            isValid := eq(leaf, root)
        }
    }

    /// @dev Returns whether `leaf` exists in the Merkle tree with `root`, given `proof`.
    function verifyCalldata(bytes32[] calldata proof, bytes32 root, bytes32 leaf)
        internal
        pure
        returns (bool isValid)
    {
        /// @solidity memory-safe-assembly
        assembly {
            if proof.length {
                // Left shift by 5 is equivalent to multiplying by 0x20.
                let end := add(proof.offset, shl(5, proof.length))
                // Initialize `offset` to the offset of `proof` in the calldata.
                let offset := proof.offset
                // Iterate over proof elements to compute root hash.
                for {} 1 {} {
                    // Slot of `leaf` in scratch space.
                    // If the condition is true: 0x20, otherwise: 0x00.
                    let scratch := shl(5, gt(leaf, calldataload(offset)))
                    // Store elements to hash contiguously in scratch space.
                    // Scratch space is 64 bytes (0x00 - 0x3f) and both elements are 32 bytes.
                    mstore(scratch, leaf)
                    mstore(xor(scratch, 0x20), calldataload(offset))
                    // Reuse `leaf` to store the hash to reduce stack operations.
                    leaf := keccak256(0x00, 0x40)
                    offset := add(offset, 0x20)
                    if iszero(lt(offset, end)) { break }
                }
            }
            isValid := eq(leaf, root)
        }
    }

    /// @dev Returns whether all `leaves` exist in the Merkle tree with `root`,
    /// given `proof` and `flags`.
    ///
    /// Note:
    /// - Breaking the invariant `flags.length == (leaves.length - 1) + proof.length`
    ///   will always return false.
    /// - The sum of the lengths of `proof` and `leaves` must never overflow.
    /// - Any non-zero word in the `flags` array is treated as true.
    /// - The memory offset of `proof` must be non-zero
    ///   (i.e. `proof` is not pointing to the scratch space).
    function verifyMultiProof(
        bytes32[] memory proof,
        bytes32 root,
        bytes32[] memory leaves,
        bool[] memory flags
    ) internal pure returns (bool isValid) {
        // Rebuilds the root by consuming and producing values on a queue.
        // The queue starts with the `leaves` array, and goes into a `hashes` array.
        // After the process, the last element on the queue is verified
        // to be equal to the `root`.
        //
        // The `flags` array denotes whether the sibling
        // should be popped from the queue (`flag == true`), or
        // should be popped from the `proof` (`flag == false`).
        /// @solidity memory-safe-assembly
        assembly {
            // Cache the lengths of the arrays.
            let leavesLength := mload(leaves)
            let proofLength := mload(proof)
            let flagsLength := mload(flags)

            // Advance the pointers of the arrays to point to the data.
            leaves := add(0x20, leaves)
            proof := add(0x20, proof)
            flags := add(0x20, flags)

            // If the number of flags is correct.
            for {} eq(add(leavesLength, proofLength), add(flagsLength, 1)) {} {
                // For the case where `proof.length + leaves.length == 1`.
                if iszero(flagsLength) {
                    // `isValid = (proof.length == 1 ? proof[0] : leaves[0]) == root`.
                    isValid := eq(mload(xor(leaves, mul(xor(proof, leaves), proofLength))), root)
                    break
                }

                // The required final proof offset if `flagsLength` is not zero, otherwise zero.
                let proofEnd := add(proof, shl(5, proofLength))
                // We can use the free memory space for the queue.
                // We don't need to allocate, since the queue is temporary.
                let hashesFront := mload(0x40)
                // Copy the leaves into the hashes.
                // Sometimes, a little memory expansion costs less than branching.
                // Should cost less, even with a high free memory offset of 0x7d00.
                leavesLength := shl(5, leavesLength)
                for { let i := 0 } iszero(eq(i, leavesLength)) { i := add(i, 0x20) } {
                    mstore(add(hashesFront, i), mload(add(leaves, i)))
                }
                // Compute the back of the hashes.
                let hashesBack := add(hashesFront, leavesLength)
                // This is the end of the memory for the queue.
                // We recycle `flagsLength` to save on stack variables (sometimes save gas).
                flagsLength := add(hashesBack, shl(5, flagsLength))

                for {} 1 {} {
                    // Pop from `hashes`.
                    let a := mload(hashesFront)
                    // Pop from `hashes`.
                    let b := mload(add(hashesFront, 0x20))
                    hashesFront := add(hashesFront, 0x40)

                    // If the flag is false, load the next proof,
                    // else, pops from the queue.
                    if iszero(mload(flags)) {
                        // Loads the next proof.
                        b := mload(proof)
                        proof := add(proof, 0x20)
                        // Unpop from `hashes`.
                        hashesFront := sub(hashesFront, 0x20)
                    }

                    // Advance to the next flag.
                    flags := add(flags, 0x20)

                    // Slot of `a` in scratch space.
                    // If the condition is true: 0x20, otherwise: 0x00.
                    let scratch := shl(5, gt(a, b))
                    // Hash the scratch space and push the result onto the queue.
                    mstore(scratch, a)
                    mstore(xor(scratch, 0x20), b)
                    mstore(hashesBack, keccak256(0x00, 0x40))
                    hashesBack := add(hashesBack, 0x20)
                    if iszero(lt(hashesBack, flagsLength)) { break }
                }
                isValid :=
                    and(
                        // Checks if the last value in the queue is same as the root.
                        eq(mload(sub(hashesBack, 0x20)), root),
                        // And whether all the proofs are used, if required.
                        eq(proofEnd, proof)
                    )
                break
            }
        }
    }

    /// @dev Returns whether all `leaves` exist in the Merkle tree with `root`,
    /// given `proof` and `flags`.
    ///
    /// Note:
    /// - Breaking the invariant `flags.length == (leaves.length - 1) + proof.length`
    ///   will always return false.
    /// - Any non-zero word in the `flags` array is treated as true.
    /// - The calldata offset of `proof` must be non-zero
    ///   (i.e. `proof` is from a regular Solidity function with a 4-byte selector).
    function verifyMultiProofCalldata(
        bytes32[] calldata proof,
        bytes32 root,
        bytes32[] calldata leaves,
        bool[] calldata flags
    ) internal pure returns (bool isValid) {
        // Rebuilds the root by consuming and producing values on a queue.
        // The queue starts with the `leaves` array, and goes into a `hashes` array.
        // After the process, the last element on the queue is verified
        // to be equal to the `root`.
        //
        // The `flags` array denotes whether the sibling
        // should be popped from the queue (`flag == true`), or
        // should be popped from the `proof` (`flag == false`).
        /// @solidity memory-safe-assembly
        assembly {
            // If the number of flags is correct.
            for {} eq(add(leaves.length, proof.length), add(flags.length, 1)) {} {
                // For the case where `proof.length + leaves.length == 1`.
                if iszero(flags.length) {
                    // `isValid = (proof.length == 1 ? proof[0] : leaves[0]) == root`.
                    // forgefmt: disable-next-item
                    isValid := eq(
                        calldataload(
                            xor(leaves.offset, mul(xor(proof.offset, leaves.offset), proof.length))
                        ),
                        root
                    )
                    break
                }

                // The required final proof offset if `flagsLength` is not zero, otherwise zero.
                let proofEnd := add(proof.offset, shl(5, proof.length))
                // We can use the free memory space for the queue.
                // We don't need to allocate, since the queue is temporary.
                let hashesFront := mload(0x40)
                // Copy the leaves into the hashes.
                // Sometimes, a little memory expansion costs less than branching.
                // Should cost less, even with a high free memory offset of 0x7d00.
                calldatacopy(hashesFront, leaves.offset, shl(5, leaves.length))
                // Compute the back of the hashes.
                let hashesBack := add(hashesFront, shl(5, leaves.length))
                // This is the end of the memory for the queue.
                // We recycle `flagsLength` to save on stack variables (sometimes save gas).
                flags.length := add(hashesBack, shl(5, flags.length))

                // We don't need to make a copy of `proof.offset` or `flags.offset`,
                // as they are pass-by-value (this trick may not always save gas).

                for {} 1 {} {
                    // Pop from `hashes`.
                    let a := mload(hashesFront)
                    // Pop from `hashes`.
                    let b := mload(add(hashesFront, 0x20))
                    hashesFront := add(hashesFront, 0x40)

                    // If the flag is false, load the next proof,
                    // else, pops from the queue.
                    if iszero(calldataload(flags.offset)) {
                        // Loads the next proof.
                        b := calldataload(proof.offset)
                        proof.offset := add(proof.offset, 0x20)
                        // Unpop from `hashes`.
                        hashesFront := sub(hashesFront, 0x20)
                    }

                    // Advance to the next flag offset.
                    flags.offset := add(flags.offset, 0x20)

                    // Slot of `a` in scratch space.
                    // If the condition is true: 0x20, otherwise: 0x00.
                    let scratch := shl(5, gt(a, b))
                    // Hash the scratch space and push the result onto the queue.
                    mstore(scratch, a)
                    mstore(xor(scratch, 0x20), b)
                    mstore(hashesBack, keccak256(0x00, 0x40))
                    hashesBack := add(hashesBack, 0x20)
                    if iszero(lt(hashesBack, flags.length)) { break }
                }
                isValid :=
                    and(
                        // Checks if the last value in the queue is same as the root.
                        eq(mload(sub(hashesBack, 0x20)), root),
                        // And whether all the proofs are used, if required.
                        eq(proofEnd, proof.offset)
                    )
                break
            }
        }
    }

    /*´:°•.°+.*•´.*:˚.°*.˚•´.°:°•.°•.*•´.*:˚.°*.˚•´.°:°•.°+.*•´.*:*/
    /*                   EMPTY CALLDATA HELPERS                   */
    /*.•°:°.´+˚.*°.˚:*.´•*.+°.•°:´*.´•*.•°.•°:°.´:•˚°.*°.˚:*.´+°.•*/

    /// @dev Returns an empty calldata bytes32 array.
    function emptyProof() internal pure returns (bytes32[] calldata proof) {
        /// @solidity memory-safe-assembly
        assembly {
            proof.length := 0
        }
    }

    /// @dev Returns an empty calldata bytes32 array.
    function emptyLeaves() internal pure returns (bytes32[] calldata leaves) {
        /// @solidity memory-safe-assembly
        assembly {
            leaves.length := 0
        }
    }

    /// @dev Returns an empty calldata bool array.
    function emptyFlags() internal pure returns (bool[] calldata flags) {
        /// @solidity memory-safe-assembly
        assembly {
            flags.length := 0
        }
    }
}


// SPDX-License-Identifier: MIT
pragma solidity ^0.8.4;

/// @notice Library for reading contract metadata robustly.
/// @author Solady (https://github.com/vectorized/solady/blob/main/src/utils/MetadataReaderLib.sol)
library MetadataReaderLib {
    /*´:°•.°+.*•´.*:˚.°*.˚•´.°:°•.°•.*•´.*:˚.°*.˚•´.°:°•.°+.*•´.*:*/
    /*                METADATA READING OPERATIONS                 */
    /*.•°:°.´+˚.*°.˚:*.´•*.+°.•°:´*.´•*.•°.•°:°.´:•˚°.*°.˚:*.´+°.•*/

    // Best-effort string reading operations.
    // Should NOT revert as long as sufficient gas is provided.
    //
    // Performs the following in order:
    // 1. Returns the empty string for the following cases:
    //     - Reverts.
    //     - No returndata (e.g. function returns nothing, EOA).
    //     - Returns empty string.
    // 2. Attempts to `abi.decode` the returndata into a string.
    // 3. With any remaining gas, scans the returndata from start to end for the
    //    null byte '\0', to interpret the returndata as a null-terminated string.

    /// @dev Equivalent to `readString(abi.encodeWithSignature("name()"), limit)`.
    function readName(address target, uint256 limit) internal view returns (string memory) {
        return _string(target, _ptr(0x06fdde03), limit);
    }

    /// @dev Equivalent to `readString(abi.encodeWithSignature("symbol()"), limit)`.
    function readSymbol(address target, uint256 limit) internal view returns (string memory) {
        return _string(target, _ptr(0x95d89b41), limit);
    }

    /// @dev Performs a best-effort string query on `target` with `data` as the calldata.
    /// The string will be truncated to `limit` bytes.
    function readString(address target, bytes memory data, uint256 limit)
        internal
        view
        returns (string memory)
    {
        return _string(target, _ptr(data), limit);
    }

    // Best-effort unsigned integer reading operations.
    // Should NOT revert as long as sufficient gas is provided.
    //
    // Performs the following in order:
    // 1. Attempts to `abi.decode` the result into a uint256
    //    (equivalent across all Solidity uint types, downcast as needed).
    // 2. Returns zero for the following cases:
    //     - Reverts.
    //     - No returndata (e.g. function returns nothing, EOA).
    //     - Returns zero.
    //     - `abi.decode` failure.

    /// @dev Equivalent to `uint8(readUint(abi.encodeWithSignature("decimal()")))`.
    function readDecimals(address target) internal view returns (uint8) {
        return uint8(_uint(target, _ptr(0x313ce567)));
    }

    /// @dev Performs a best-effort uint query on `target` with `data` as the calldata.
    function readUint(address target, bytes memory data) internal view returns (uint256) {
        return _uint(target, _ptr(data));
    }

    /*´:°•.°+.*•´.*:˚.°*.˚•´.°:°•.°•.*•´.*:˚.°*.˚•´.°:°•.°+.*•´.*:*/
    /*                      PRIVATE HELPERS                       */
    /*.•°:°.´+˚.*°.˚:*.´•*.+°.•°:´*.´•*.•°.•°:°.´:•˚°.*°.˚:*.´+°.•*/

    /// @dev Attempts to read and return a string at `target`.
    function _string(address target, bytes32 ptr, uint256 limit)
        private
        view
        returns (string memory result)
    {
        /// @solidity memory-safe-assembly
        assembly {
            function min(x_, y_) -> _z {
                _z := xor(x_, mul(xor(x_, y_), lt(y_, x_)))
            }
            for {} staticcall(gas(), target, add(ptr, 0x20), mload(ptr), 0x00, 0x20) {} {
                let m := mload(0x40) // Grab the free memory pointer.
                let s := add(0x20, m) // Start of the string's bytes in memory.
                // Attempt to `abi.decode` if the returndatasize is greater or equal to 64.
                if iszero(lt(returndatasize(), 0x40)) {
                    let o := mload(0x00) // Load the string's offset in the returndata.
                    // If the string's offset is within bounds.
                    if iszero(gt(o, sub(returndatasize(), 0x20))) {
                        returndatacopy(m, o, 0x20) // Copy the string's length.
                        // If the full string's end is within bounds.
                        // Note: If the full string doesn't fit, the `abi.decode` must be aborted
                        // for compliance purposes, regardless if the truncated string can fit.
                        if iszero(gt(mload(m), sub(returndatasize(), add(o, 0x20)))) {
                            let n := min(mload(m), limit) // Truncate if needed.
                            mstore(m, n) // Overwrite the length.
                            returndatacopy(s, add(o, 0x20), n) // Copy the string's bytes.
                            mstore(add(s, n), 0) // Zeroize the slot after the string.
                            mstore(0x40, add(0x20, add(s, n))) // Allocate memory for the string.
                            result := m
                            break
                        }
                    }
                }
                // Try interpreting as a null-terminated string.
                let n := min(returndatasize(), limit) // Truncate if needed.
                returndatacopy(s, 0, n) // Copy the string's bytes.
                mstore8(add(s, n), 0) // Place a '\0' at the end.
                let i := s // Pointer to the next byte to scan.
                for {} byte(0, mload(i)) { i := add(i, 1) } {} // Scan for '\0'.
                mstore(m, sub(i, s)) // Store the string's length.
                mstore(i, 0) // Zeroize the slot after the string.
                mstore(0x40, add(0x20, i)) // Allocate memory for the string.
                result := m
                break
            }
        }
    }

    /// @dev Attempts to read and return a uint at `target`.
    function _uint(address target, bytes32 ptr) private view returns (uint256 result) {
        /// @solidity memory-safe-assembly
        assembly {
            result :=
                mul(
                    mload(0x20),
                    and( // The arguments of `and` are evaluated from right to left.
                        gt(returndatasize(), 0x1f), // At least 32 bytes returned.
                        staticcall(gas(), target, add(ptr, 0x20), mload(ptr), 0x20, 0x20)
                    )
                )
        }
    }

    /// @dev Casts the function selector `s` into a pointer.
    function _ptr(uint256 s) private pure returns (bytes32 result) {
        /// @solidity memory-safe-assembly
        assembly {
            // Layout the calldata in the scratch space for temporary usage.
            mstore(0x04, s) // Store the function selector.
            mstore(result, 4) // Store the length.
        }
    }

    /// @dev Casts the `data` into a pointer.
    function _ptr(bytes memory data) private pure returns (bytes32 result) {
        /// @solidity memory-safe-assembly
        assembly {
            result := data
        }
    }
}


// SPDX-License-Identifier: MIT
pragma solidity ^0.8.4;

/// @notice Library for managing a min-heap in storage.
/// @author Solady (https://github.com/vectorized/solady/blob/main/src/utils/MinHeapLib.sol)
library MinHeapLib {
    /*´:°•.°+.*•´.*:˚.°*.˚•´.°:°•.°•.*•´.*:˚.°*.˚•´.°:°•.°+.*•´.*:*/
    /*                       CUSTOM ERRORS                        */
    /*.•°:°.´+˚.*°.˚:*.´•*.+°.•°:´*.´•*.•°.•°:°.´:•˚°.*°.˚:*.´+°.•*/

    /// @dev The heap is empty.
    error HeapIsEmpty();

    /*´:°•.°+.*•´.*:˚.°*.˚•´.°:°•.°•.*•´.*:˚.°*.˚•´.°:°•.°+.*•´.*:*/
    /*                          STRUCTS                           */
    /*.•°:°.´+˚.*°.˚:*.´•*.+°.•°:´*.´•*.•°.•°:°.´:•˚°.*°.˚:*.´+°.•*/

    /// @dev A heap in storage.
    struct Heap {
        uint256[] data;
    }

    /*´:°•.°+.*•´.*:˚.°*.˚•´.°:°•.°•.*•´.*:˚.°*.˚•´.°:°•.°+.*•´.*:*/
    /*                         OPERATIONS                         */
    /*.•°:°.´+˚.*°.˚:*.´•*.+°.•°:´*.´•*.•°.•°:°.´:•˚°.*°.˚:*.´+°.•*/

    // Tips:
    // - To use as a max-map, negate the values.
    // - If use on tuples, pack the tuple values into a single integer.
    // - To use on signed integers, convert the signed integers into
    //   their ordered unsigned counterparts via `uint256(x) + (1 << 255)`.

    /// @dev Returns the minimum value of the heap.
    /// Reverts if the heap is empty.
    function root(Heap storage heap) internal view returns (uint256 result) {
        /// @solidity memory-safe-assembly
        assembly {
            if iszero(sload(heap.slot)) {
                mstore(0x00, 0xa6ca772e) // Store the function selector of `HeapIsEmpty()`.
                revert(0x1c, 0x04) // Revert with (offset, size).
            }
            mstore(0x00, heap.slot)
            result := sload(keccak256(0x00, 0x20))
        }
    }

    /// @dev Returns the number of items in the heap.
    function length(Heap storage heap) internal view returns (uint256) {
        return heap.data.length;
    }

    /// @dev Pushes the `value` onto the min-heap.
    function push(Heap storage heap, uint256 value) internal {
        _set(heap, value, 0, 4);
    }

    /// @dev Pops the minimum value from the min-heap.
    /// Reverts if the heap is empty.
    function pop(Heap storage heap) internal returns (uint256 popped) {
        (,, popped) = _set(heap, 0, 0, 3);
    }

    /// @dev Pushes the `value` onto the min-heap, and pops the minimum value.
    function pushPop(Heap storage heap, uint256 value) internal returns (uint256 popped) {
        (,, popped) = _set(heap, value, 0, 2);
    }

    /// @dev Pops the minimum value, and pushes the new `value` onto the min-heap.
    /// Reverts if the heap is empty.
    function replace(Heap storage heap, uint256 value) internal returns (uint256 popped) {
        (,, popped) = _set(heap, value, 0, 1);
    }

    /// @dev Pushes the `value` onto the min-heap, and pops the minimum value
    /// if the length of the heap exceeds `maxLength`.
    ///
    /// Reverts if `maxLength` is zero.
    ///
    /// - If the queue is not full:
    ///   (`success` = true, `hasPopped` = false, `popped` = 0)
    /// - If the queue is full, and `value` is not greater than the minimum value:
    ///   (`success` = false, `hasPopped` = false, `popped` = 0)
    /// - If the queue is full, and `value` is greater than the minimum value:
    ///   (`success` = true, `hasPopped` = true, `popped` = <minimum value>)
    ///
    /// Useful for implementing a bounded priority queue.
    function enqueue(Heap storage heap, uint256 value, uint256 maxLength)
        internal
        returns (bool success, bool hasPopped, uint256 popped)
    {
        (success, hasPopped, popped) = _set(heap, value, maxLength, 0);
    }

    /*´:°•.°+.*•´.*:˚.°*.˚•´.°:°•.°•.*•´.*:˚.°*.˚•´.°:°•.°+.*•´.*:*/
    /*                      PRIVATE HELPERS                       */
    /*.•°:°.´+˚.*°.˚:*.´•*.+°.•°:´*.´•*.•°.•°:°.´:•˚°.*°.˚:*.´+°.•*/

    /// @dev Helper function for heap operations.
    /// Designed for code conciseness, bytecode compactness, and decent performance.
    function _set(Heap storage heap, uint256 value, uint256 maxLength, uint256 mode)
        private
        returns (bool success, bool hasPopped, uint256 popped)
    {
        /// @solidity memory-safe-assembly
        assembly {
            let n := sload(heap.slot)
            // Compute the array storage slot offset.
            mstore(0x00, heap.slot)
            let sOffset := keccak256(0x00, 0x20)

            let pos := 0
            let childPos := not(0)
            // Operations are ordered from most likely usage to least likely usage.
            for {} 1 {
                mstore(0x00, 0xa6ca772e) // Store the function selector of `HeapIsEmpty()`.
                revert(0x1c, 0x04) // Revert with (offset, size).
            } {
                // `enqueue`.
                if iszero(mode) {
                    if iszero(maxLength) { continue }
                    if iszero(eq(n, maxLength)) {
                        // If queue is not full.
                        success := 1
                        // Increment and update the length.
                        pos := n
                        sstore(heap.slot, add(pos, 1))
                        childPos := add(childPos, childPos)
                        break
                    }
                    let r := sload(sOffset)
                    if iszero(lt(r, value)) { break }
                    success := 1
                    hasPopped := 1
                    childPos := 1
                    popped := r
                    break
                }
                // `replace`.
                if eq(mode, 1) {
                    if iszero(n) { continue }
                    popped := sload(sOffset)
                    childPos := 1
                    break
                }
                // `pushPop`.
                if eq(mode, 2) {
                    popped := value
                    if iszero(n) { break }
                    let r := sload(sOffset)
                    if iszero(lt(r, value)) { break }
                    popped := r
                    childPos := 1
                    break
                }
                // `pop`.
                if eq(mode, 3) {
                    if iszero(n) { continue }
                    // Decrement and update the length.
                    n := sub(n, 1)
                    sstore(heap.slot, n)
                    // Set the `value` to the last item.
                    value := sload(add(sOffset, n))
                    popped := value
                    if iszero(n) { break }
                    popped := sload(sOffset)
                    childPos := 1
                    break
                }
                // `push`.
                {
                    // Increment and update the length.
                    pos := n
                    sstore(heap.slot, add(pos, 1))
                    childPos := add(childPos, childPos)
                    break
                }
            }

            for {} lt(childPos, n) {} {
                let child := sload(add(sOffset, childPos))
                let rightPos := add(childPos, 1)
                let right := sload(add(sOffset, rightPos))
                if iszero(and(lt(rightPos, n), iszero(lt(child, right)))) {
                    right := child
                    rightPos := childPos
                }
                sstore(add(sOffset, pos), right)
                pos := rightPos
                childPos := add(shl(1, pos), 1)
            }

            for {} pos {} {
                let parentPos := shr(1, sub(pos, 1))
                let parent := sload(add(sOffset, parentPos))
                if iszero(lt(value, parent)) { break }
                sstore(add(sOffset, pos), parent)
                pos := parentPos
            }

            // If `childPos` is not `not(0)`.
            if add(childPos, 1) { sstore(add(sOffset, pos), value) }
        }
    }
}


// SPDX-License-Identifier: MIT
pragma solidity ^0.8.4;

/// @notice Contract that enables a single call to call multiple methods on itself.
/// @author Solady (https://github.com/vectorized/solady/blob/main/src/utils/Multicallable.sol)
/// @author Modified from Solmate (https://github.com/transmissions11/solmate/blob/main/src/utils/Multicallable.sol)
abstract contract Multicallable {
    /// @dev Apply `DELEGATECALL` with the current contract to each calldata in `data`,
    /// and store the `abi.encode` formatted results of each `DELEGATECALL` into `results`.
    /// If any of the `DELEGATECALL`s reverts, the entire context is reverted,
    /// and the error is bubbled up.
    ///
    /// This function is deliberately made non-payable to guard against double-spending.
    /// (See: https://www.paradigm.xyz/2021/08/two-rights-might-make-a-wrong)
    ///
    /// For efficiency, this function will directly return the results, terminating the context.
    /// If called internally, it must be called at the end of a function
    /// that returns `(bytes[] memory)`.
    function multicall(bytes[] calldata data) public virtual returns (bytes[] memory) {
        assembly {
            mstore(0x00, 0x20)
            mstore(0x20, data.length) // Store `data.length` into `results`.
            // Early return if no data.
            if iszero(data.length) { return(0x00, 0x40) }

            let results := 0x40
            // `shl` 5 is equivalent to multiplying by 0x20.
            let end := shl(5, data.length)
            // Copy the offsets from calldata into memory.
            calldatacopy(0x40, data.offset, end)
            // Offset into `results`.
            let resultsOffset := end
            // Pointer to the end of `results`.
            end := add(results, end)

            for {} 1 {} {
                // The offset of the current bytes in the calldata.
                let o := add(data.offset, mload(results))
                let m := add(resultsOffset, 0x40)
                // Copy the current bytes from calldata to the memory.
                calldatacopy(
                    m,
                    add(o, 0x20), // The offset of the current bytes' bytes.
                    calldataload(o) // The length of the current bytes.
                )
                if iszero(delegatecall(gas(), address(), m, calldataload(o), codesize(), 0x00)) {
                    // Bubble up the revert if the delegatecall reverts.
                    returndatacopy(0x00, 0x00, returndatasize())
                    revert(0x00, returndatasize())
                }
                // Append the current `resultsOffset` into `results`.
                mstore(results, resultsOffset)
                results := add(results, 0x20)
                // Append the `returndatasize()`, and the return data.
                mstore(m, returndatasize())
                returndatacopy(add(m, 0x20), 0x00, returndatasize())
                // Advance the `resultsOffset` by `returndatasize() + 0x20`,
                // rounded up to the next multiple of 32.
                resultsOffset :=
                    and(add(add(resultsOffset, returndatasize()), 0x3f), 0xffffffffffffffe0)
                if iszero(lt(results, end)) { break }
            }
            return(0x00, add(resultsOffset, 0x40))
        }
    }
}


// SPDX-License-Identifier: MIT
pragma solidity ^0.8.4;

/// @notice Read and write to persistent storage at a fraction of the cost.
/// @author Solady (https://github.com/vectorized/solmady/blob/main/src/utils/SSTORE2.sol)
/// @author Saw-mon-and-Natalie (https://github.com/Saw-mon-and-Natalie)
/// @author Modified from Solmate (https://github.com/transmissions11/solmate/blob/main/src/utils/SSTORE2.sol)
/// @author Modified from 0xSequence (https://github.com/0xSequence/sstore2/blob/master/contracts/SSTORE2.sol)
library SSTORE2 {
    /*´:°•.°+.*•´.*:˚.°*.˚•´.°:°•.°•.*•´.*:˚.°*.˚•´.°:°•.°+.*•´.*:*/
    /*                         CONSTANTS                          */
    /*.•°:°.´+˚.*°.˚:*.´•*.+°.•°:´*.´•*.•°.•°:°.´:•˚°.*°.˚:*.´+°.•*/

    /// @dev We skip the first byte as it's a STOP opcode,
    /// which ensures the contract can't be called.
    uint256 internal constant DATA_OFFSET = 1;

    /*´:°•.°+.*•´.*:˚.°*.˚•´.°:°•.°•.*•´.*:˚.°*.˚•´.°:°•.°+.*•´.*:*/
    /*                        CUSTOM ERRORS                       */
    /*.•°:°.´+˚.*°.˚:*.´•*.+°.•°:´*.´•*.•°.•°:°.´:•˚°.*°.˚:*.´+°.•*/

    /// @dev Unable to deploy the storage contract.
    error DeploymentFailed();

    /// @dev The storage contract address is invalid.
    error InvalidPointer();

    /// @dev Attempt to read outside of the storage contract's bytecode bounds.
    error ReadOutOfBounds();

    /*´:°•.°+.*•´.*:˚.°*.˚•´.°:°•.°•.*•´.*:˚.°*.˚•´.°:°•.°+.*•´.*:*/
    /*                         WRITE LOGIC                        */
    /*.•°:°.´+˚.*°.˚:*.´•*.+°.•°:´*.´•*.•°.•°:°.´:•˚°.*°.˚:*.´+°.•*/

    /// @dev Writes `data` into the bytecode of a storage contract and returns its address.
    function write(bytes memory data) internal returns (address pointer) {
        /// @solidity memory-safe-assembly
        assembly {
            let originalDataLength := mload(data)

            // Add 1 to data size since we are prefixing it with a STOP opcode.
            let dataSize := add(originalDataLength, DATA_OFFSET)

            /**
             * ------------------------------------------------------------------------------+
             * Opcode      | Mnemonic        | Stack                   | Memory              |
             * ------------------------------------------------------------------------------|
             * 61 dataSize | PUSH2 dataSize  | dataSize                |                     |
             * 80          | DUP1            | dataSize dataSize       |                     |
             * 60 0xa      | PUSH1 0xa       | 0xa dataSize dataSize   |                     |
             * 3D          | RETURNDATASIZE  | 0 0xa dataSize dataSize |                     |
             * 39          | CODECOPY        | dataSize                | [0..dataSize): code |
             * 3D          | RETURNDATASIZE  | 0 dataSize              | [0..dataSize): code |
             * F3          | RETURN          |                         | [0..dataSize): code |
             * 00          | STOP            |                         |                     |
             * ------------------------------------------------------------------------------+
             * @dev Prefix the bytecode with a STOP opcode to ensure it cannot be called.
             * Also PUSH2 is used since max contract size cap is 24,576 bytes which is less than 2 ** 16.
             */
            mstore(
                // Do a out-of-gas revert if `dataSize` is more than 2 bytes.
                // The actual EVM limit may be smaller and may change over time.
                add(data, gt(dataSize, 0xffff)),
                // Left shift `dataSize` by 64 so that it lines up with the 0000 after PUSH2.
                or(0xfd61000080600a3d393df300, shl(0x40, dataSize))
            )

            // Deploy a new contract with the generated creation code.
            pointer := create(0, add(data, 0x15), add(dataSize, 0xa))

            // If `pointer` is zero, revert.
            if iszero(pointer) {
                // Store the function selector of `DeploymentFailed()`.
                mstore(0x00, 0x30116425)
                // Revert with (offset, size).
                revert(0x1c, 0x04)
            }

            // Restore original length of the variable size `data`.
            mstore(data, originalDataLength)
        }
    }

    /// @dev Writes `data` into the bytecode of a storage contract with `salt`
    /// and returns its deterministic address.
    function writeDeterministic(bytes memory data, bytes32 salt)
        internal
        returns (address pointer)
    {
        /// @solidity memory-safe-assembly
        assembly {
            let originalDataLength := mload(data)
            let dataSize := add(originalDataLength, DATA_OFFSET)

            mstore(
                // Do a out-of-gas revert if `dataSize` is more than 2 bytes.
                // The actual EVM limit may be smaller and may change over time.
                add(data, gt(dataSize, 0xffff)),
                // Left shift `dataSize` by 64 so that it lines up with the 0000 after PUSH2.
                or(0xfd61000080600a3d393df300, shl(0x40, dataSize))
            )

            // Deploy a new contract with the generated creation code.
            pointer := create2(0, add(data, 0x15), add(dataSize, 0xa), salt)

            // If `pointer` is zero, revert.
            if iszero(pointer) {
                // Store the function selector of `DeploymentFailed()`.
                mstore(0x00, 0x30116425)
                // Revert with (offset, size).
                revert(0x1c, 0x04)
            }

            // Restore original length of the variable size `data`.
            mstore(data, originalDataLength)
        }
    }

    /// @dev Returns the initialization code hash of the storage contract for `data`.
    /// Used for mining vanity addresses with create2crunch.
    function initCodeHash(bytes memory data) internal pure returns (bytes32 hash) {
        /// @solidity memory-safe-assembly
        assembly {
            let originalDataLength := mload(data)
            let dataSize := add(originalDataLength, DATA_OFFSET)

            // Do a out-of-gas revert if `dataSize` is more than 2 bytes.
            // The actual EVM limit may be smaller and may change over time.
            returndatacopy(returndatasize(), returndatasize(), shr(16, dataSize))

            mstore(data, or(0x61000080600a3d393df300, shl(0x40, dataSize)))

            hash := keccak256(add(data, 0x15), add(dataSize, 0xa))

            // Restore original length of the variable size `data`.
            mstore(data, originalDataLength)
        }
    }

    /// @dev Returns the address of the storage contract for `data`
    /// deployed with `salt` by `deployer`.
    /// Note: The returned result has dirty upper 96 bits. Please clean if used in assembly.
    function predictDeterministicAddress(bytes memory data, bytes32 salt, address deployer)
        internal
        pure
        returns (address predicted)
    {
        bytes32 hash = initCodeHash(data);
        /// @solidity memory-safe-assembly
        assembly {
            // Compute and store the bytecode hash.
            mstore8(0x00, 0xff) // Write the prefix.
            mstore(0x35, hash)
            mstore(0x01, shl(96, deployer))
            mstore(0x15, salt)
            predicted := keccak256(0x00, 0x55)
            // Restore the part of the free memory pointer that has been overwritten.
            mstore(0x35, 0)
        }
    }

    /*´:°•.°+.*•´.*:˚.°*.˚•´.°:°•.°•.*•´.*:˚.°*.˚•´.°:°•.°+.*•´.*:*/
    /*                         READ LOGIC                         */
    /*.•°:°.´+˚.*°.˚:*.´•*.+°.•°:´*.´•*.•°.•°:°.´:•˚°.*°.˚:*.´+°.•*/

    /// @dev Returns all the `data` from the bytecode of the storage contract at `pointer`.
    function read(address pointer) internal view returns (bytes memory data) {
        /// @solidity memory-safe-assembly
        assembly {
            let pointerCodesize := extcodesize(pointer)
            if iszero(pointerCodesize) {
                // Store the function selector of `InvalidPointer()`.
                mstore(0x00, 0x11052bb4)
                // Revert with (offset, size).
                revert(0x1c, 0x04)
            }
            // Offset all indices by 1 to skip the STOP opcode.
            let size := sub(pointerCodesize, DATA_OFFSET)

            // Get the pointer to the free memory and allocate
            // enough 32-byte words for the data and the length of the data,
            // then copy the code to the allocated memory.
            // Masking with 0xffe0 will suffice, since contract size is less than 16 bits.
            data := mload(0x40)
            mstore(0x40, add(data, and(add(size, 0x3f), 0xffe0)))
            mstore(data, size)
            mstore(add(add(data, 0x20), size), 0) // Zeroize the last slot.
            extcodecopy(pointer, add(data, 0x20), DATA_OFFSET, size)
        }
    }

    /// @dev Returns the `data` from the bytecode of the storage contract at `pointer`,
    /// from the byte at `start`, to the end of the data stored.
    function read(address pointer, uint256 start) internal view returns (bytes memory data) {
        /// @solidity memory-safe-assembly
        assembly {
            let pointerCodesize := extcodesize(pointer)
            if iszero(pointerCodesize) {
                // Store the function selector of `InvalidPointer()`.
                mstore(0x00, 0x11052bb4)
                // Revert with (offset, size).
                revert(0x1c, 0x04)
            }

            // If `!(pointer.code.size > start)`, reverts.
            // This also handles the case where `start + DATA_OFFSET` overflows.
            if iszero(gt(pointerCodesize, start)) {
                // Store the function selector of `ReadOutOfBounds()`.
                mstore(0x00, 0x84eb0dd1)
                // Revert with (offset, size).
                revert(0x1c, 0x04)
            }
            let size := sub(pointerCodesize, add(start, DATA_OFFSET))

            // Get the pointer to the free memory and allocate
            // enough 32-byte words for the data and the length of the data,
            // then copy the code to the allocated memory.
            // Masking with 0xffe0 will suffice, since contract size is less than 16 bits.
            data := mload(0x40)
            mstore(0x40, add(data, and(add(size, 0x3f), 0xffe0)))
            mstore(data, size)
            mstore(add(add(data, 0x20), size), 0) // Zeroize the last slot.
            extcodecopy(pointer, add(data, 0x20), add(start, DATA_OFFSET), size)
        }
    }

    /// @dev Returns the `data` from the bytecode of the storage contract at `pointer`,
    /// from the byte at `start`, to the byte at `end` (exclusive) of the data stored.
    function read(address pointer, uint256 start, uint256 end)
        internal
        view
        returns (bytes memory data)
    {
        /// @solidity memory-safe-assembly
        assembly {
            let pointerCodesize := extcodesize(pointer)
            if iszero(pointerCodesize) {
                // Store the function selector of `InvalidPointer()`.
                mstore(0x00, 0x11052bb4)
                // Revert with (offset, size).
                revert(0x1c, 0x04)
            }

            // If `!(pointer.code.size > end) || (start > end)`, revert.
            // This also handles the cases where
            // `end + DATA_OFFSET` or `start + DATA_OFFSET` overflows.
            if iszero(
                and(
                    gt(pointerCodesize, end), // Within bounds.
                    iszero(gt(start, end)) // Valid range.
                )
            ) {
                // Store the function selector of `ReadOutOfBounds()`.
                mstore(0x00, 0x84eb0dd1)
                // Revert with (offset, size).
                revert(0x1c, 0x04)
            }
            let size := sub(end, start)

            // Get the pointer to the free memory and allocate
            // enough 32-byte words for the data and the length of the data,
            // then copy the code to the allocated memory.
            // Masking with 0xffe0 will suffice, since contract size is less than 16 bits.
            data := mload(0x40)
            mstore(0x40, add(data, and(add(size, 0x3f), 0xffe0)))
            mstore(data, size)
            mstore(add(add(data, 0x20), size), 0) // Zeroize the last slot.
            extcodecopy(pointer, add(data, 0x20), add(start, DATA_OFFSET), size)
        }
    }
}


// SPDX-License-Identifier: MIT
pragma solidity ^0.8.4;

/// @notice Safe integer casting library that reverts on overflow.
/// @author Solady (https://github.com/vectorized/solady/blob/main/src/utils/SafeCastLib.sol)
/// @author Modified from OpenZeppelin (https://github.com/OpenZeppelin/openzeppelin-contracts/blob/master/contracts/utils/math/SafeCast.sol)
library SafeCastLib {
    /*´:°•.°+.*•´.*:˚.°*.˚•´.°:°•.°•.*•´.*:˚.°*.˚•´.°:°•.°+.*•´.*:*/
    /*                       CUSTOM ERRORS                        */
    /*.•°:°.´+˚.*°.˚:*.´•*.+°.•°:´*.´•*.•°.•°:°.´:•˚°.*°.˚:*.´+°.•*/

    error Overflow();

    /*´:°•.°+.*•´.*:˚.°*.˚•´.°:°•.°•.*•´.*:˚.°*.˚•´.°:°•.°+.*•´.*:*/
    /*          UNSIGNED INTEGER SAFE CASTING OPERATIONS          */
    /*.•°:°.´+˚.*°.˚:*.´•*.+°.•°:´*.´•*.•°.•°:°.´:•˚°.*°.˚:*.´+°.•*/

    function toUint8(uint256 x) internal pure returns (uint8) {
        if (x >= 1 << 8) _revertOverflow();
        return uint8(x);
    }

    function toUint16(uint256 x) internal pure returns (uint16) {
        if (x >= 1 << 16) _revertOverflow();
        return uint16(x);
    }

    function toUint24(uint256 x) internal pure returns (uint24) {
        if (x >= 1 << 24) _revertOverflow();
        return uint24(x);
    }

    function toUint32(uint256 x) internal pure returns (uint32) {
        if (x >= 1 << 32) _revertOverflow();
        return uint32(x);
    }

    function toUint40(uint256 x) internal pure returns (uint40) {
        if (x >= 1 << 40) _revertOverflow();
        return uint40(x);
    }

    function toUint48(uint256 x) internal pure returns (uint48) {
        if (x >= 1 << 48) _revertOverflow();
        return uint48(x);
    }

    function toUint56(uint256 x) internal pure returns (uint56) {
        if (x >= 1 << 56) _revertOverflow();
        return uint56(x);
    }

    function toUint64(uint256 x) internal pure returns (uint64) {
        if (x >= 1 << 64) _revertOverflow();
        return uint64(x);
    }

    function toUint72(uint256 x) internal pure returns (uint72) {
        if (x >= 1 << 72) _revertOverflow();
        return uint72(x);
    }

    function toUint80(uint256 x) internal pure returns (uint80) {
        if (x >= 1 << 80) _revertOverflow();
        return uint80(x);
    }

    function toUint88(uint256 x) internal pure returns (uint88) {
        if (x >= 1 << 88) _revertOverflow();
        return uint88(x);
    }

    function toUint96(uint256 x) internal pure returns (uint96) {
        if (x >= 1 << 96) _revertOverflow();
        return uint96(x);
    }

    function toUint104(uint256 x) internal pure returns (uint104) {
        if (x >= 1 << 104) _revertOverflow();
        return uint104(x);
    }

    function toUint112(uint256 x) internal pure returns (uint112) {
        if (x >= 1 << 112) _revertOverflow();
        return uint112(x);
    }

    function toUint120(uint256 x) internal pure returns (uint120) {
        if (x >= 1 << 120) _revertOverflow();
        return uint120(x);
    }

    function toUint128(uint256 x) internal pure returns (uint128) {
        if (x >= 1 << 128) _revertOverflow();
        return uint128(x);
    }

    function toUint136(uint256 x) internal pure returns (uint136) {
        if (x >= 1 << 136) _revertOverflow();
        return uint136(x);
    }

    function toUint144(uint256 x) internal pure returns (uint144) {
        if (x >= 1 << 144) _revertOverflow();
        return uint144(x);
    }

    function toUint152(uint256 x) internal pure returns (uint152) {
        if (x >= 1 << 152) _revertOverflow();
        return uint152(x);
    }

    function toUint160(uint256 x) internal pure returns (uint160) {
        if (x >= 1 << 160) _revertOverflow();
        return uint160(x);
    }

    function toUint168(uint256 x) internal pure returns (uint168) {
        if (x >= 1 << 168) _revertOverflow();
        return uint168(x);
    }

    function toUint176(uint256 x) internal pure returns (uint176) {
        if (x >= 1 << 176) _revertOverflow();
        return uint176(x);
    }

    function toUint184(uint256 x) internal pure returns (uint184) {
        if (x >= 1 << 184) _revertOverflow();
        return uint184(x);
    }

    function toUint192(uint256 x) internal pure returns (uint192) {
        if (x >= 1 << 192) _revertOverflow();
        return uint192(x);
    }

    function toUint200(uint256 x) internal pure returns (uint200) {
        if (x >= 1 << 200) _revertOverflow();
        return uint200(x);
    }

    function toUint208(uint256 x) internal pure returns (uint208) {
        if (x >= 1 << 208) _revertOverflow();
        return uint208(x);
    }

    function toUint216(uint256 x) internal pure returns (uint216) {
        if (x >= 1 << 216) _revertOverflow();
        return uint216(x);
    }

    function toUint224(uint256 x) internal pure returns (uint224) {
        if (x >= 1 << 224) _revertOverflow();
        return uint224(x);
    }

    function toUint232(uint256 x) internal pure returns (uint232) {
        if (x >= 1 << 232) _revertOverflow();
        return uint232(x);
    }

    function toUint240(uint256 x) internal pure returns (uint240) {
        if (x >= 1 << 240) _revertOverflow();
        return uint240(x);
    }

    function toUint248(uint256 x) internal pure returns (uint248) {
        if (x >= 1 << 248) _revertOverflow();
        return uint248(x);
    }

    /*´:°•.°+.*•´.*:˚.°*.˚•´.°:°•.°•.*•´.*:˚.°*.˚•´.°:°•.°+.*•´.*:*/
    /*           SIGNED INTEGER SAFE CASTING OPERATIONS           */
    /*.•°:°.´+˚.*°.˚:*.´•*.+°.•°:´*.´•*.•°.•°:°.´:•˚°.*°.˚:*.´+°.•*/

    function toInt8(int256 x) internal pure returns (int8) {
        int8 y = int8(x);
        if (x != y) _revertOverflow();
        return y;
    }

    function toInt16(int256 x) internal pure returns (int16) {
        int16 y = int16(x);
        if (x != y) _revertOverflow();
        return y;
    }

    function toInt24(int256 x) internal pure returns (int24) {
        int24 y = int24(x);
        if (x != y) _revertOverflow();
        return y;
    }

    function toInt32(int256 x) internal pure returns (int32) {
        int32 y = int32(x);
        if (x != y) _revertOverflow();
        return y;
    }

    function toInt40(int256 x) internal pure returns (int40) {
        int40 y = int40(x);
        if (x != y) _revertOverflow();
        return y;
    }

    function toInt48(int256 x) internal pure returns (int48) {
        int48 y = int48(x);
        if (x != y) _revertOverflow();
        return y;
    }

    function toInt56(int256 x) internal pure returns (int56) {
        int56 y = int56(x);
        if (x != y) _revertOverflow();
        return y;
    }

    function toInt64(int256 x) internal pure returns (int64) {
        int64 y = int64(x);
        if (x != y) _revertOverflow();
        return y;
    }

    function toInt72(int256 x) internal pure returns (int72) {
        int72 y = int72(x);
        if (x != y) _revertOverflow();
        return y;
    }

    function toInt80(int256 x) internal pure returns (int80) {
        int80 y = int80(x);
        if (x != y) _revertOverflow();
        return y;
    }

    function toInt88(int256 x) internal pure returns (int88) {
        int88 y = int88(x);
        if (x != y) _revertOverflow();
        return y;
    }

    function toInt96(int256 x) internal pure returns (int96) {
        int96 y = int96(x);
        if (x != y) _revertOverflow();
        return y;
    }

    function toInt104(int256 x) internal pure returns (int104) {
        int104 y = int104(x);
        if (x != y) _revertOverflow();
        return y;
    }

    function toInt112(int256 x) internal pure returns (int112) {
        int112 y = int112(x);
        if (x != y) _revertOverflow();
        return y;
    }

    function toInt120(int256 x) internal pure returns (int120) {
        int120 y = int120(x);
        if (x != y) _revertOverflow();
        return y;
    }

    function toInt128(int256 x) internal pure returns (int128) {
        int128 y = int128(x);
        if (x != y) _revertOverflow();
        return y;
    }

    function toInt136(int256 x) internal pure returns (int136) {
        int136 y = int136(x);
        if (x != y) _revertOverflow();
        return y;
    }

    function toInt144(int256 x) internal pure returns (int144) {
        int144 y = int144(x);
        if (x != y) _revertOverflow();
        return y;
    }

    function toInt152(int256 x) internal pure returns (int152) {
        int152 y = int152(x);
        if (x != y) _revertOverflow();
        return y;
    }

    function toInt160(int256 x) internal pure returns (int160) {
        int160 y = int160(x);
        if (x != y) _revertOverflow();
        return y;
    }

    function toInt168(int256 x) internal pure returns (int168) {
        int168 y = int168(x);
        if (x != y) _revertOverflow();
        return y;
    }

    function toInt176(int256 x) internal pure returns (int176) {
        int176 y = int176(x);
        if (x != y) _revertOverflow();
        return y;
    }

    function toInt184(int256 x) internal pure returns (int184) {
        int184 y = int184(x);
        if (x != y) _revertOverflow();
        return y;
    }

    function toInt192(int256 x) internal pure returns (int192) {
        int192 y = int192(x);
        if (x != y) _revertOverflow();
        return y;
    }

    function toInt200(int256 x) internal pure returns (int200) {
        int200 y = int200(x);
        if (x != y) _revertOverflow();
        return y;
    }

    function toInt208(int256 x) internal pure returns (int208) {
        int208 y = int208(x);
        if (x != y) _revertOverflow();
        return y;
    }

    function toInt216(int256 x) internal pure returns (int216) {
        int216 y = int216(x);
        if (x != y) _revertOverflow();
        return y;
    }

    function toInt224(int256 x) internal pure returns (int224) {
        int224 y = int224(x);
        if (x != y) _revertOverflow();
        return y;
    }

    function toInt232(int256 x) internal pure returns (int232) {
        int232 y = int232(x);
        if (x != y) _revertOverflow();
        return y;
    }

    function toInt240(int256 x) internal pure returns (int240) {
        int240 y = int240(x);
        if (x != y) _revertOverflow();
        return y;
    }

    function toInt248(int256 x) internal pure returns (int248) {
        int248 y = int248(x);
        if (x != y) _revertOverflow();
        return y;
    }

    /*´:°•.°+.*•´.*:˚.°*.˚•´.°:°•.°•.*•´.*:˚.°*.˚•´.°:°•.°+.*•´.*:*/
    /*               OTHER SAFE CASTING OPERATIONS                */
    /*.•°:°.´+˚.*°.˚:*.´•*.+°.•°:´*.´•*.•°.•°:°.´:•˚°.*°.˚:*.´+°.•*/

    function toInt256(uint256 x) internal pure returns (int256) {
        if (x >= 1 << 255) _revertOverflow();
        return int256(x);
    }

    function toUint256(int256 x) internal pure returns (uint256) {
        if (x < 0) _revertOverflow();
        return uint256(x);
    }

    /*´:°•.°+.*•´.*:˚.°*.˚•´.°:°•.°•.*•´.*:˚.°*.˚•´.°:°•.°+.*•´.*:*/
    /*                      PRIVATE HELPERS                       */
    /*.•°:°.´+˚.*°.˚:*.´•*.+°.•°:´*.´•*.•°.•°:°.´:•˚°.*°.˚:*.´+°.•*/

    function _revertOverflow() private pure {
        /// @solidity memory-safe-assembly
        assembly {
            // Store the function selector of `Overflow()`.
            mstore(0x00, 0x35278d12)
            // Revert with (offset, size).
            revert(0x1c, 0x04)
        }
    }
}


// SPDX-License-Identifier: MIT
pragma solidity ^0.8.4;

/// @notice Safe ETH and ERC20 transfer library that gracefully handles missing return values.
/// @author Solady (https://github.com/vectorized/solady/blob/main/src/utils/SafeTransferLib.sol)
/// @author Modified from Solmate (https://github.com/transmissions11/solmate/blob/main/src/utils/SafeTransferLib.sol)
///
/// @dev Note:
/// - For ETH transfers, please use `forceSafeTransferETH` for DoS protection.
/// - For ERC20s, this implementation won't check that a token has code,
///   responsibility is delegated to the caller.
library SafeTransferLib {
    /*´:°•.°+.*•´.*:˚.°*.˚•´.°:°•.°•.*•´.*:˚.°*.˚•´.°:°•.°+.*•´.*:*/
    /*                       CUSTOM ERRORS                        */
    /*.•°:°.´+˚.*°.˚:*.´•*.+°.•°:´*.´•*.•°.•°:°.´:•˚°.*°.˚:*.´+°.•*/

    /// @dev The ETH transfer has failed.
    error ETHTransferFailed();

    /// @dev The ERC20 `transferFrom` has failed.
    error TransferFromFailed();

    /// @dev The ERC20 `transfer` has failed.
    error TransferFailed();

    /// @dev The ERC20 `approve` has failed.
    error ApproveFailed();

    /*´:°•.°+.*•´.*:˚.°*.˚•´.°:°•.°•.*•´.*:˚.°*.˚•´.°:°•.°+.*•´.*:*/
    /*                         CONSTANTS                          */
    /*.•°:°.´+˚.*°.˚:*.´•*.+°.•°:´*.´•*.•°.•°:°.´:•˚°.*°.˚:*.´+°.•*/

    /// @dev Suggested gas stipend for contract receiving ETH that disallows any storage writes.
    uint256 internal constant GAS_STIPEND_NO_STORAGE_WRITES = 2300;

    /// @dev Suggested gas stipend for contract receiving ETH to perform a few
    /// storage reads and writes, but low enough to prevent griefing.
    uint256 internal constant GAS_STIPEND_NO_GRIEF = 100000;

    /*´:°•.°+.*•´.*:˚.°*.˚•´.°:°•.°•.*•´.*:˚.°*.˚•´.°:°•.°+.*•´.*:*/
    /*                       ETH OPERATIONS                       */
    /*.•°:°.´+˚.*°.˚:*.´•*.+°.•°:´*.´•*.•°.•°:°.´:•˚°.*°.˚:*.´+°.•*/

    // If the ETH transfer MUST succeed with a reasonable gas budget, use the force variants.
    //
    // The regular variants:
    // - Forwards all remaining gas to the target.
    // - Reverts if the target reverts.
    // - Reverts if the current contract has insufficient balance.
    //
    // The force variants:
    // - Forwards with an optional gas stipend
    //   (defaults to `GAS_STIPEND_NO_GRIEF`, which is sufficient for most cases).
    // - If the target reverts, or if the gas stipend is exhausted,
    //   creates a temporary contract to force send the ETH via `SELFDESTRUCT`.
    //   Future compatible with `SENDALL`: https://eips.ethereum.org/EIPS/eip-4758.
    // - Reverts if the current contract has insufficient balance.
    //
    // The try variants:
    // - Forwards with a mandatory gas stipend.
    // - Instead of reverting, returns whether the transfer succeeded.

    /// @dev Sends `amount` (in wei) ETH to `to`.
    function safeTransferETH(address to, uint256 amount) internal {
        /// @solidity memory-safe-assembly
        assembly {
            if iszero(call(gas(), to, amount, codesize(), 0x00, codesize(), 0x00)) {
                mstore(0x00, 0xb12d13eb) // `ETHTransferFailed()`.
                revert(0x1c, 0x04)
            }
        }
    }

    /// @dev Sends all the ETH in the current contract to `to`.
    function safeTransferAllETH(address to) internal {
        /// @solidity memory-safe-assembly
        assembly {
            // Transfer all the ETH and check if it succeeded or not.
            if iszero(call(gas(), to, selfbalance(), codesize(), 0x00, codesize(), 0x00)) {
                mstore(0x00, 0xb12d13eb) // `ETHTransferFailed()`.
                revert(0x1c, 0x04)
            }
        }
    }

    /// @dev Force sends `amount` (in wei) ETH to `to`, with a `gasStipend`.
    function forceSafeTransferETH(address to, uint256 amount, uint256 gasStipend) internal {
        /// @solidity memory-safe-assembly
        assembly {
            if lt(selfbalance(), amount) {
                mstore(0x00, 0xb12d13eb) // `ETHTransferFailed()`.
                revert(0x1c, 0x04)
            }
            if iszero(call(gasStipend, to, amount, codesize(), 0x00, codesize(), 0x00)) {
                mstore(0x00, to) // Store the address in scratch space.
                mstore8(0x0b, 0x73) // Opcode `PUSH20`.
                mstore8(0x20, 0xff) // Opcode `SELFDESTRUCT`.
                if iszero(create(amount, 0x0b, 0x16)) { revert(codesize(), codesize()) } // For gas estimation.
            }
        }
    }

    /// @dev Force sends all the ETH in the current contract to `to`, with a `gasStipend`.
    function forceSafeTransferAllETH(address to, uint256 gasStipend) internal {
        /// @solidity memory-safe-assembly
        assembly {
            if iszero(call(gasStipend, to, selfbalance(), codesize(), 0x00, codesize(), 0x00)) {
                mstore(0x00, to) // Store the address in scratch space.
                mstore8(0x0b, 0x73) // Opcode `PUSH20`.
                mstore8(0x20, 0xff) // Opcode `SELFDESTRUCT`.
                if iszero(create(selfbalance(), 0x0b, 0x16)) { revert(codesize(), codesize()) } // For gas estimation.
            }
        }
    }

    /// @dev Force sends `amount` (in wei) ETH to `to`, with `GAS_STIPEND_NO_GRIEF`.
    function forceSafeTransferETH(address to, uint256 amount) internal {
        /// @solidity memory-safe-assembly
        assembly {
            if lt(selfbalance(), amount) {
                mstore(0x00, 0xb12d13eb) // `ETHTransferFailed()`.
                revert(0x1c, 0x04)
            }
            if iszero(call(GAS_STIPEND_NO_GRIEF, to, amount, codesize(), 0x00, codesize(), 0x00)) {
                mstore(0x00, to) // Store the address in scratch space.
                mstore8(0x0b, 0x73) // Opcode `PUSH20`.
                mstore8(0x20, 0xff) // Opcode `SELFDESTRUCT`.
                if iszero(create(amount, 0x0b, 0x16)) { revert(codesize(), codesize()) } // For gas estimation.
            }
        }
    }

    /// @dev Force sends all the ETH in the current contract to `to`, with `GAS_STIPEND_NO_GRIEF`.
    function forceSafeTransferAllETH(address to) internal {
        /// @solidity memory-safe-assembly
        assembly {
            // forgefmt: disable-next-item
            if iszero(call(GAS_STIPEND_NO_GRIEF, to, selfbalance(), codesize(), 0x00, codesize(), 0x00)) {
                mstore(0x00, to) // Store the address in scratch space.
                mstore8(0x0b, 0x73) // Opcode `PUSH20`.
                mstore8(0x20, 0xff) // Opcode `SELFDESTRUCT`.
                if iszero(create(selfbalance(), 0x0b, 0x16)) { revert(codesize(), codesize()) } // For gas estimation.
            }
        }
    }

    /// @dev Sends `amount` (in wei) ETH to `to`, with a `gasStipend`.
    function trySafeTransferETH(address to, uint256 amount, uint256 gasStipend)
        internal
        returns (bool success)
    {
        /// @solidity memory-safe-assembly
        assembly {
            success := call(gasStipend, to, amount, codesize(), 0x00, codesize(), 0x00)
        }
    }

    /// @dev Sends all the ETH in the current contract to `to`, with a `gasStipend`.
    function trySafeTransferAllETH(address to, uint256 gasStipend)
        internal
        returns (bool success)
    {
        /// @solidity memory-safe-assembly
        assembly {
            success := call(gasStipend, to, selfbalance(), codesize(), 0x00, codesize(), 0x00)
        }
    }

    /*´:°•.°+.*•´.*:˚.°*.˚•´.°:°•.°•.*•´.*:˚.°*.˚•´.°:°•.°+.*•´.*:*/
    /*                      ERC20 OPERATIONS                      */
    /*.•°:°.´+˚.*°.˚:*.´•*.+°.•°:´*.´•*.•°.•°:°.´:•˚°.*°.˚:*.´+°.•*/

    /// @dev Sends `amount` of ERC20 `token` from `from` to `to`.
    /// Reverts upon failure.
    ///
    /// The `from` account must have at least `amount` approved for
    /// the current contract to manage.
    function safeTransferFrom(address token, address from, address to, uint256 amount) internal {
        /// @solidity memory-safe-assembly
        assembly {
            let m := mload(0x40) // Cache the free memory pointer.
            mstore(0x60, amount) // Store the `amount` argument.
            mstore(0x40, to) // Store the `to` argument.
            mstore(0x2c, shl(96, from)) // Store the `from` argument.
            mstore(0x0c, 0x23b872dd000000000000000000000000) // `transferFrom(address,address,uint256)`.
            // Perform the transfer, reverting upon failure.
            if iszero(
                and( // The arguments of `and` are evaluated from right to left.
                    or(eq(mload(0x00), 1), iszero(returndatasize())), // Returned 1 or nothing.
                    call(gas(), token, 0, 0x1c, 0x64, 0x00, 0x20)
                )
            ) {
                mstore(0x00, 0x7939f424) // `TransferFromFailed()`.
                revert(0x1c, 0x04)
            }
            mstore(0x60, 0) // Restore the zero slot to zero.
            mstore(0x40, m) // Restore the free memory pointer.
        }
    }

    /// @dev Sends all of ERC20 `token` from `from` to `to`.
    /// Reverts upon failure.
    ///
    /// The `from` account must have their entire balance approved for
    /// the current contract to manage.
    function safeTransferAllFrom(address token, address from, address to)
        internal
        returns (uint256 amount)
    {
        /// @solidity memory-safe-assembly
        assembly {
            let m := mload(0x40) // Cache the free memory pointer.
            mstore(0x40, to) // Store the `to` argument.
            mstore(0x2c, shl(96, from)) // Store the `from` argument.
            mstore(0x0c, 0x70a08231000000000000000000000000) // `balanceOf(address)`.
            // Read the balance, reverting upon failure.
            if iszero(
                and( // The arguments of `and` are evaluated from right to left.
                    gt(returndatasize(), 0x1f), // At least 32 bytes returned.
                    staticcall(gas(), token, 0x1c, 0x24, 0x60, 0x20)
                )
            ) {
                mstore(0x00, 0x7939f424) // `TransferFromFailed()`.
                revert(0x1c, 0x04)
            }
            mstore(0x00, 0x23b872dd) // `transferFrom(address,address,uint256)`.
            amount := mload(0x60) // The `amount` is already at 0x60. We'll need to return it.
            // Perform the transfer, reverting upon failure.
            if iszero(
                and( // The arguments of `and` are evaluated from right to left.
                    or(eq(mload(0x00), 1), iszero(returndatasize())), // Returned 1 or nothing.
                    call(gas(), token, 0, 0x1c, 0x64, 0x00, 0x20)
                )
            ) {
                mstore(0x00, 0x7939f424) // `TransferFromFailed()`.
                revert(0x1c, 0x04)
            }
            mstore(0x60, 0) // Restore the zero slot to zero.
            mstore(0x40, m) // Restore the free memory pointer.
        }
    }

    /// @dev Sends `amount` of ERC20 `token` from the current contract to `to`.
    /// Reverts upon failure.
    function safeTransfer(address token, address to, uint256 amount) internal {
        /// @solidity memory-safe-assembly
        assembly {
            mstore(0x14, to) // Store the `to` argument.
            mstore(0x34, amount) // Store the `amount` argument.
            mstore(0x00, 0xa9059cbb000000000000000000000000) // `transfer(address,uint256)`.
            // Perform the transfer, reverting upon failure.
            if iszero(
                and( // The arguments of `and` are evaluated from right to left.
                    or(eq(mload(0x00), 1), iszero(returndatasize())), // Returned 1 or nothing.
                    call(gas(), token, 0, 0x10, 0x44, 0x00, 0x20)
                )
            ) {
                mstore(0x00, 0x90b8ec18) // `TransferFailed()`.
                revert(0x1c, 0x04)
            }
            mstore(0x34, 0) // Restore the part of the free memory pointer that was overwritten.
        }
    }

    /// @dev Sends all of ERC20 `token` from the current contract to `to`.
    /// Reverts upon failure.
    function safeTransferAll(address token, address to) internal returns (uint256 amount) {
        /// @solidity memory-safe-assembly
        assembly {
            mstore(0x00, 0x70a08231) // Store the function selector of `balanceOf(address)`.
            mstore(0x20, address()) // Store the address of the current contract.
            // Read the balance, reverting upon failure.
            if iszero(
                and( // The arguments of `and` are evaluated from right to left.
                    gt(returndatasize(), 0x1f), // At least 32 bytes returned.
                    staticcall(gas(), token, 0x1c, 0x24, 0x34, 0x20)
                )
            ) {
                mstore(0x00, 0x90b8ec18) // `TransferFailed()`.
                revert(0x1c, 0x04)
            }
            mstore(0x14, to) // Store the `to` argument.
            amount := mload(0x34) // The `amount` is already at 0x34. We'll need to return it.
            mstore(0x00, 0xa9059cbb000000000000000000000000) // `transfer(address,uint256)`.
            // Perform the transfer, reverting upon failure.
            if iszero(
                and( // The arguments of `and` are evaluated from right to left.
                    or(eq(mload(0x00), 1), iszero(returndatasize())), // Returned 1 or nothing.
                    call(gas(), token, 0, 0x10, 0x44, 0x00, 0x20)
                )
            ) {
                mstore(0x00, 0x90b8ec18) // `TransferFailed()`.
                revert(0x1c, 0x04)
            }
            mstore(0x34, 0) // Restore the part of the free memory pointer that was overwritten.
        }
    }

    /// @dev Sets `amount` of ERC20 `token` for `to` to manage on behalf of the current contract.
    /// Reverts upon failure.
    function safeApprove(address token, address to, uint256 amount) internal {
        /// @solidity memory-safe-assembly
        assembly {
            mstore(0x14, to) // Store the `to` argument.
            mstore(0x34, amount) // Store the `amount` argument.
            mstore(0x00, 0x095ea7b3000000000000000000000000) // `approve(address,uint256)`.
            // Perform the approval, reverting upon failure.
            if iszero(
                and( // The arguments of `and` are evaluated from right to left.
                    or(eq(mload(0x00), 1), iszero(returndatasize())), // Returned 1 or nothing.
                    call(gas(), token, 0, 0x10, 0x44, 0x00, 0x20)
                )
            ) {
                mstore(0x00, 0x3e3f8f73) // `ApproveFailed()`.
                revert(0x1c, 0x04)
            }
            mstore(0x34, 0) // Restore the part of the free memory pointer that was overwritten.
        }
    }

    /// @dev Sets `amount` of ERC20 `token` for `to` to manage on behalf of the current contract.
    /// If the initial attempt to approve fails, attempts to reset the approved amount to zero,
    /// then retries the approval again (some tokens, e.g. USDT, requires this).
    /// Reverts upon failure.
    function safeApproveWithRetry(address token, address to, uint256 amount) internal {
        /// @solidity memory-safe-assembly
        assembly {
            mstore(0x14, to) // Store the `to` argument.
            mstore(0x34, amount) // Store the `amount` argument.
            mstore(0x00, 0x095ea7b3000000000000000000000000) // `approve(address,uint256)`.
            // Perform the approval, retrying upon failure.
            if iszero(
                and( // The arguments of `and` are evaluated from right to left.
                    or(eq(mload(0x00), 1), iszero(returndatasize())), // Returned 1 or nothing.
                    call(gas(), token, 0, 0x10, 0x44, 0x00, 0x20)
                )
            ) {
                mstore(0x34, 0) // Store 0 for the `amount`.
                mstore(0x00, 0x095ea7b3000000000000000000000000) // `approve(address,uint256)`.
                pop(call(gas(), token, 0, 0x10, 0x44, codesize(), 0x00)) // Reset the approval.
                mstore(0x34, amount) // Store back the original `amount`.
                // Retry the approval, reverting upon failure.
                if iszero(
                    and(
                        or(eq(mload(0x00), 1), iszero(returndatasize())), // Returned 1 or nothing.
                        call(gas(), token, 0, 0x10, 0x44, 0x00, 0x20)
                    )
                ) {
                    mstore(0x00, 0x3e3f8f73) // `ApproveFailed()`.
                    revert(0x1c, 0x04)
                }
            }
            mstore(0x34, 0) // Restore the part of the free memory pointer that was overwritten.
        }
    }

    /// @dev Returns the amount of ERC20 `token` owned by `account`.
    /// Returns zero if the `token` does not exist.
    function balanceOf(address token, address account) internal view returns (uint256 amount) {
        /// @solidity memory-safe-assembly
        assembly {
            mstore(0x14, account) // Store the `account` argument.
            mstore(0x00, 0x70a08231000000000000000000000000) // `balanceOf(address)`.
            amount :=
                mul(
                    mload(0x20),
                    and( // The arguments of `and` are evaluated from right to left.
                        gt(returndatasize(), 0x1f), // At least 32 bytes returned.
                        staticcall(gas(), token, 0x10, 0x24, 0x20, 0x20)
                    )
                )
        }
    }
}
