// File: lib/forge-std/lib/ds-test/src/test.sol



// SPDX-License-Identifier: GPL-3.0-or-later

// This program is free software: you can redistribute it and/or modify
// it under the terms of the GNU General Public License as published by
// the Free Software Foundation, either version 3 of the License, or
// (at your option) any later version.

// This program is distributed in the hope that it will be useful,
// but WITHOUT ANY WARRANTY; without even the implied warranty of
// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
// GNU General Public License for more details.

// You should have received a copy of the GNU General Public License
// along with this program.  If not, see <http://www.gnu.org/licenses/>.

pragma solidity >=0.5.0;

contract DSTest {
    event log                    (string);
    event logs                   (bytes);

    event log_address            (address);
    event log_bytes32            (bytes32);
    event log_int                (int);
    event log_uint               (uint);
    event log_bytes              (bytes);
    event log_string             (string);

    event log_named_address      (string key, address val);
    event log_named_bytes32      (string key, bytes32 val);
    event log_named_decimal_int  (string key, int val, uint decimals);
    event log_named_decimal_uint (string key, uint val, uint decimals);
    event log_named_int          (string key, int val);
    event log_named_uint         (string key, uint val);
    event log_named_bytes        (string key, bytes val);
    event log_named_string       (string key, string val);

    bool public IS_TEST = true;
    bool private _failed;

    address constant HEVM_ADDRESS =
        address(bytes20(uint160(uint256(keccak256('hevm cheat code')))));

    modifier mayRevert() { _; }
    modifier testopts(string memory) { _; }

    function failed() public returns (bool) {
        if (_failed) {
            return _failed;
        } else {
            bool globalFailed = false;
            if (hasHEVMContext()) {
                (, bytes memory retdata) = HEVM_ADDRESS.call(
                    abi.encodePacked(
                        bytes4(keccak256("load(address,bytes32)")),
                        abi.encode(HEVM_ADDRESS, bytes32("failed"))
                    )
                );
                globalFailed = abi.decode(retdata, (bool));
            }
            return globalFailed;
        }
    } 

    function fail() internal {
        if (hasHEVMContext()) {
            (bool status, ) = HEVM_ADDRESS.call(
                abi.encodePacked(
                    bytes4(keccak256("store(address,bytes32,bytes32)")),
                    abi.encode(HEVM_ADDRESS, bytes32("failed"), bytes32(uint256(0x01)))
                )
            );
            status; // Silence compiler warnings
        }
        _failed = true;
    }

    function hasHEVMContext() internal view returns (bool) {
        uint256 hevmCodeSize = 0;
        assembly {
            hevmCodeSize := extcodesize(0x7109709ECfa91a80626fF3989D68f67F5b1DD12D)
        }
        return hevmCodeSize > 0;
    }

    modifier logs_gas() {
        uint startGas = gasleft();
        _;
        uint endGas = gasleft();
        emit log_named_uint("gas", startGas - endGas);
    }

    function assertTrue(bool condition) internal {
        if (!condition) {
            emit log("Error: Assertion Failed");
            fail();
        }
    }

    function assertTrue(bool condition, string memory err) internal {
        if (!condition) {
            emit log_named_string("Error", err);
            assertTrue(condition);
        }
    }

    function assertEq(address a, address b) internal {
        if (a != b) {
            emit log("Error: a == b not satisfied [address]");
            emit log_named_address("  Expected", b);
            emit log_named_address("    Actual", a);
            fail();
        }
    }
    function assertEq(address a, address b, string memory err) internal {
        if (a != b) {
            emit log_named_string ("Error", err);
            assertEq(a, b);
        }
    }

    function assertEq(bytes32 a, bytes32 b) internal {
        if (a != b) {
            emit log("Error: a == b not satisfied [bytes32]");
            emit log_named_bytes32("  Expected", b);
            emit log_named_bytes32("    Actual", a);
            fail();
        }
    }
    function assertEq(bytes32 a, bytes32 b, string memory err) internal {
        if (a != b) {
            emit log_named_string ("Error", err);
            assertEq(a, b);
        }
    }
    function assertEq32(bytes32 a, bytes32 b) internal {
        assertEq(a, b);
    }
    function assertEq32(bytes32 a, bytes32 b, string memory err) internal {
        assertEq(a, b, err);
    }

    function assertEq(int a, int b) internal {
        if (a != b) {
            emit log("Error: a == b not satisfied [int]");
            emit log_named_int("  Expected", b);
            emit log_named_int("    Actual", a);
            fail();
        }
    }
    function assertEq(int a, int b, string memory err) internal {
        if (a != b) {
            emit log_named_string("Error", err);
            assertEq(a, b);
        }
    }
    function assertEq(uint a, uint b) internal {
        if (a != b) {
            emit log("Error: a == b not satisfied [uint]");
            emit log_named_uint("  Expected", b);
            emit log_named_uint("    Actual", a);
            fail();
        }
    }
    function assertEq(uint a, uint b, string memory err) internal {
        if (a != b) {
            emit log_named_string("Error", err);
            assertEq(a, b);
        }
    }
    function assertEqDecimal(int a, int b, uint decimals) internal {
        if (a != b) {
            emit log("Error: a == b not satisfied [decimal int]");
            emit log_named_decimal_int("  Expected", b, decimals);
            emit log_named_decimal_int("    Actual", a, decimals);
            fail();
        }
    }
    function assertEqDecimal(int a, int b, uint decimals, string memory err) internal {
        if (a != b) {
            emit log_named_string("Error", err);
            assertEqDecimal(a, b, decimals);
        }
    }
    function assertEqDecimal(uint a, uint b, uint decimals) internal {
        if (a != b) {
            emit log("Error: a == b not satisfied [decimal uint]");
            emit log_named_decimal_uint("  Expected", b, decimals);
            emit log_named_decimal_uint("    Actual", a, decimals);
            fail();
        }
    }
    function assertEqDecimal(uint a, uint b, uint decimals, string memory err) internal {
        if (a != b) {
            emit log_named_string("Error", err);
            assertEqDecimal(a, b, decimals);
        }
    }

    function assertGt(uint a, uint b) internal {
        if (a <= b) {
            emit log("Error: a > b not satisfied [uint]");
            emit log_named_uint("  Value a", a);
            emit log_named_uint("  Value b", b);
            fail();
        }
    }
    function assertGt(uint a, uint b, string memory err) internal {
        if (a <= b) {
            emit log_named_string("Error", err);
            assertGt(a, b);
        }
    }
    function assertGt(int a, int b) internal {
        if (a <= b) {
            emit log("Error: a > b not satisfied [int]");
            emit log_named_int("  Value a", a);
            emit log_named_int("  Value b", b);
            fail();
        }
    }
    function assertGt(int a, int b, string memory err) internal {
        if (a <= b) {
            emit log_named_string("Error", err);
            assertGt(a, b);
        }
    }
    function assertGtDecimal(int a, int b, uint decimals) internal {
        if (a <= b) {
            emit log("Error: a > b not satisfied [decimal int]");
            emit log_named_decimal_int("  Value a", a, decimals);
            emit log_named_decimal_int("  Value b", b, decimals);
            fail();
        }
    }
    function assertGtDecimal(int a, int b, uint decimals, string memory err) internal {
        if (a <= b) {
            emit log_named_string("Error", err);
            assertGtDecimal(a, b, decimals);
        }
    }
    function assertGtDecimal(uint a, uint b, uint decimals) internal {
        if (a <= b) {
            emit log("Error: a > b not satisfied [decimal uint]");
            emit log_named_decimal_uint("  Value a", a, decimals);
            emit log_named_decimal_uint("  Value b", b, decimals);
            fail();
        }
    }
    function assertGtDecimal(uint a, uint b, uint decimals, string memory err) internal {
        if (a <= b) {
            emit log_named_string("Error", err);
            assertGtDecimal(a, b, decimals);
        }
    }

    function assertGe(uint a, uint b) internal {
        if (a < b) {
            emit log("Error: a >= b not satisfied [uint]");
            emit log_named_uint("  Value a", a);
            emit log_named_uint("  Value b", b);
            fail();
        }
    }
    function assertGe(uint a, uint b, string memory err) internal {
        if (a < b) {
            emit log_named_string("Error", err);
            assertGe(a, b);
        }
    }
    function assertGe(int a, int b) internal {
        if (a < b) {
            emit log("Error: a >= b not satisfied [int]");
            emit log_named_int("  Value a", a);
            emit log_named_int("  Value b", b);
            fail();
        }
    }
    function assertGe(int a, int b, string memory err) internal {
        if (a < b) {
            emit log_named_string("Error", err);
            assertGe(a, b);
        }
    }
    function assertGeDecimal(int a, int b, uint decimals) internal {
        if (a < b) {
            emit log("Error: a >= b not satisfied [decimal int]");
            emit log_named_decimal_int("  Value a", a, decimals);
            emit log_named_decimal_int("  Value b", b, decimals);
            fail();
        }
    }
    function assertGeDecimal(int a, int b, uint decimals, string memory err) internal {
        if (a < b) {
            emit log_named_string("Error", err);
            assertGeDecimal(a, b, decimals);
        }
    }
    function assertGeDecimal(uint a, uint b, uint decimals) internal {
        if (a < b) {
            emit log("Error: a >= b not satisfied [decimal uint]");
            emit log_named_decimal_uint("  Value a", a, decimals);
            emit log_named_decimal_uint("  Value b", b, decimals);
            fail();
        }
    }
    function assertGeDecimal(uint a, uint b, uint decimals, string memory err) internal {
        if (a < b) {
            emit log_named_string("Error", err);
            assertGeDecimal(a, b, decimals);
        }
    }

    function assertLt(uint a, uint b) internal {
        if (a >= b) {
            emit log("Error: a < b not satisfied [uint]");
            emit log_named_uint("  Value a", a);
            emit log_named_uint("  Value b", b);
            fail();
        }
    }
    function assertLt(uint a, uint b, string memory err) internal {
        if (a >= b) {
            emit log_named_string("Error", err);
            assertLt(a, b);
        }
    }
    function assertLt(int a, int b) internal {
        if (a >= b) {
            emit log("Error: a < b not satisfied [int]");
            emit log_named_int("  Value a", a);
            emit log_named_int("  Value b", b);
            fail();
        }
    }
    function assertLt(int a, int b, string memory err) internal {
        if (a >= b) {
            emit log_named_string("Error", err);
            assertLt(a, b);
        }
    }
    function assertLtDecimal(int a, int b, uint decimals) internal {
        if (a >= b) {
            emit log("Error: a < b not satisfied [decimal int]");
            emit log_named_decimal_int("  Value a", a, decimals);
            emit log_named_decimal_int("  Value b", b, decimals);
            fail();
        }
    }
    function assertLtDecimal(int a, int b, uint decimals, string memory err) internal {
        if (a >= b) {
            emit log_named_string("Error", err);
            assertLtDecimal(a, b, decimals);
        }
    }
    function assertLtDecimal(uint a, uint b, uint decimals) internal {
        if (a >= b) {
            emit log("Error: a < b not satisfied [decimal uint]");
            emit log_named_decimal_uint("  Value a", a, decimals);
            emit log_named_decimal_uint("  Value b", b, decimals);
            fail();
        }
    }
    function assertLtDecimal(uint a, uint b, uint decimals, string memory err) internal {
        if (a >= b) {
            emit log_named_string("Error", err);
            assertLtDecimal(a, b, decimals);
        }
    }

    function assertLe(uint a, uint b) internal {
        if (a > b) {
            emit log("Error: a <= b not satisfied [uint]");
            emit log_named_uint("  Value a", a);
            emit log_named_uint("  Value b", b);
            fail();
        }
    }
    function assertLe(uint a, uint b, string memory err) internal {
        if (a > b) {
            emit log_named_string("Error", err);
            assertLe(a, b);
        }
    }
    function assertLe(int a, int b) internal {
        if (a > b) {
            emit log("Error: a <= b not satisfied [int]");
            emit log_named_int("  Value a", a);
            emit log_named_int("  Value b", b);
            fail();
        }
    }
    function assertLe(int a, int b, string memory err) internal {
        if (a > b) {
            emit log_named_string("Error", err);
            assertLe(a, b);
        }
    }
    function assertLeDecimal(int a, int b, uint decimals) internal {
        if (a > b) {
            emit log("Error: a <= b not satisfied [decimal int]");
            emit log_named_decimal_int("  Value a", a, decimals);
            emit log_named_decimal_int("  Value b", b, decimals);
            fail();
        }
    }
    function assertLeDecimal(int a, int b, uint decimals, string memory err) internal {
        if (a > b) {
            emit log_named_string("Error", err);
            assertLeDecimal(a, b, decimals);
        }
    }
    function assertLeDecimal(uint a, uint b, uint decimals) internal {
        if (a > b) {
            emit log("Error: a <= b not satisfied [decimal uint]");
            emit log_named_decimal_uint("  Value a", a, decimals);
            emit log_named_decimal_uint("  Value b", b, decimals);
            fail();
        }
    }
    function assertLeDecimal(uint a, uint b, uint decimals, string memory err) internal {
        if (a > b) {
            emit log_named_string("Error", err);
            assertGeDecimal(a, b, decimals);
        }
    }

    function assertEq(string memory a, string memory b) internal {
        if (keccak256(abi.encodePacked(a)) != keccak256(abi.encodePacked(b))) {
            emit log("Error: a == b not satisfied [string]");
            emit log_named_string("  Expected", b);
            emit log_named_string("    Actual", a);
            fail();
        }
    }
    function assertEq(string memory a, string memory b, string memory err) internal {
        if (keccak256(abi.encodePacked(a)) != keccak256(abi.encodePacked(b))) {
            emit log_named_string("Error", err);
            assertEq(a, b);
        }
    }

    function checkEq0(bytes memory a, bytes memory b) internal pure returns (bool ok) {
        ok = true;
        if (a.length == b.length) {
            for (uint i = 0; i < a.length; i++) {
                if (a[i] != b[i]) {
                    ok = false;
                }
            }
        } else {
            ok = false;
        }
    }
    function assertEq0(bytes memory a, bytes memory b) internal {
        if (!checkEq0(a, b)) {
            emit log("Error: a == b not satisfied [bytes]");
            emit log_named_bytes("  Expected", b);
            emit log_named_bytes("    Actual", a);
            fail();
        }
    }
    function assertEq0(bytes memory a, bytes memory b, string memory err) internal {
        if (!checkEq0(a, b)) {
            emit log_named_string("Error", err);
            assertEq0(a, b);
        }
    }
}

// File: lib/forge-std/src/Common.sol



// SPDX-License-Identifier: MIT
pragma solidity >=0.6.2 <0.9.0;

import {StdStorage, Vm} from "./Components.sol";

abstract contract CommonBase {
    address internal constant VM_ADDRESS = address(uint160(uint256(keccak256("hevm cheat code"))));
    uint256 internal constant UINT256_MAX =
        115792089237316195423570985008687907853269984665640564039457584007913129639935;

    StdStorage internal stdstore;
    Vm internal constant vm = Vm(VM_ADDRESS);
}

// File: lib/forge-std/src/Components.sol



// SPDX-License-Identifier: MIT
pragma solidity >=0.6.2 <0.9.0;

import "./console.sol";
import "./console2.sol";
import "./StdAssertions.sol";
import "./StdCheats.sol";
import "./StdError.sol";
import "./StdJson.sol";
import "./StdMath.sol";
import "./StdStorage.sol";
import "./StdUtils.sol";
import "./Vm.sol";

// File: lib/forge-std/src/Script.sol



// SPDX-License-Identifier: MIT
pragma solidity >=0.6.2 <0.9.0;

import {CommonBase} from "./Common.sol";
// forgefmt: disable-next-line
import {console, console2, StdCheatsSafe, stdJson, stdMath, StdStorage, stdStorageSafe, StdUtils, VmSafe} from "./Components.sol";

abstract contract ScriptBase is CommonBase {
    VmSafe internal constant vmSafe = VmSafe(VM_ADDRESS);
}

abstract contract Script is ScriptBase, StdCheatsSafe, StdUtils {
    bool public IS_SCRIPT = true;
}

// File: lib/forge-std/src/StdAssertions.sol



// SPDX-License-Identifier: MIT
pragma solidity >=0.6.2 <0.9.0;

import "ds-test/test.sol";
import "./StdMath.sol";

abstract contract StdAssertions is DSTest {
    event log_array(uint256[] val);
    event log_array(int256[] val);
    event log_array(address[] val);
    event log_named_array(string key, uint256[] val);
    event log_named_array(string key, int256[] val);
    event log_named_array(string key, address[] val);

    function fail(string memory err) internal virtual {
        emit log_named_string("Error", err);
        fail();
    }

    function assertFalse(bool data) internal virtual {
        assertTrue(!data);
    }

    function assertFalse(bool data, string memory err) internal virtual {
        assertTrue(!data, err);
    }

    function assertEq(bool a, bool b) internal virtual {
        if (a != b) {
            emit log("Error: a == b not satisfied [bool]");
            emit log_named_string("  Expected", b ? "true" : "false");
            emit log_named_string("    Actual", a ? "true" : "false");
            fail();
        }
    }

    function assertEq(bool a, bool b, string memory err) internal virtual {
        if (a != b) {
            emit log_named_string("Error", err);
            assertEq(a, b);
        }
    }

    function assertEq(bytes memory a, bytes memory b) internal virtual {
        assertEq0(a, b);
    }

    function assertEq(bytes memory a, bytes memory b, string memory err) internal virtual {
        assertEq0(a, b, err);
    }

    function assertEq(uint256[] memory a, uint256[] memory b) internal virtual {
        if (keccak256(abi.encode(a)) != keccak256(abi.encode(b))) {
            emit log("Error: a == b not satisfied [uint[]]");
            emit log_named_array("  Expected", b);
            emit log_named_array("    Actual", a);
            fail();
        }
    }

    function assertEq(int256[] memory a, int256[] memory b) internal virtual {
        if (keccak256(abi.encode(a)) != keccak256(abi.encode(b))) {
            emit log("Error: a == b not satisfied [int[]]");
            emit log_named_array("  Expected", b);
            emit log_named_array("    Actual", a);
            fail();
        }
    }

    function assertEq(address[] memory a, address[] memory b) internal virtual {
        if (keccak256(abi.encode(a)) != keccak256(abi.encode(b))) {
            emit log("Error: a == b not satisfied [address[]]");
            emit log_named_array("  Expected", b);
            emit log_named_array("    Actual", a);
            fail();
        }
    }

    function assertEq(uint256[] memory a, uint256[] memory b, string memory err) internal virtual {
        if (keccak256(abi.encode(a)) != keccak256(abi.encode(b))) {
            emit log_named_string("Error", err);
            assertEq(a, b);
        }
    }

    function assertEq(int256[] memory a, int256[] memory b, string memory err) internal virtual {
        if (keccak256(abi.encode(a)) != keccak256(abi.encode(b))) {
            emit log_named_string("Error", err);
            assertEq(a, b);
        }
    }

    function assertEq(address[] memory a, address[] memory b, string memory err) internal virtual {
        if (keccak256(abi.encode(a)) != keccak256(abi.encode(b))) {
            emit log_named_string("Error", err);
            assertEq(a, b);
        }
    }

    // Legacy helper
    function assertEqUint(uint256 a, uint256 b) internal virtual {
        assertEq(uint256(a), uint256(b));
    }

    function assertApproxEqAbs(uint256 a, uint256 b, uint256 maxDelta) internal virtual {
        uint256 delta = stdMath.delta(a, b);

        if (delta > maxDelta) {
            emit log("Error: a ~= b not satisfied [uint]");
            emit log_named_uint("  Expected", b);
            emit log_named_uint("    Actual", a);
            emit log_named_uint(" Max Delta", maxDelta);
            emit log_named_uint("     Delta", delta);
            fail();
        }
    }

    function assertApproxEqAbs(uint256 a, uint256 b, uint256 maxDelta, string memory err) internal virtual {
        uint256 delta = stdMath.delta(a, b);

        if (delta > maxDelta) {
            emit log_named_string("Error", err);
            assertApproxEqAbs(a, b, maxDelta);
        }
    }

    function assertApproxEqAbs(int256 a, int256 b, uint256 maxDelta) internal virtual {
        uint256 delta = stdMath.delta(a, b);

        if (delta > maxDelta) {
            emit log("Error: a ~= b not satisfied [int]");
            emit log_named_int("  Expected", b);
            emit log_named_int("    Actual", a);
            emit log_named_uint(" Max Delta", maxDelta);
            emit log_named_uint("     Delta", delta);
            fail();
        }
    }

    function assertApproxEqAbs(int256 a, int256 b, uint256 maxDelta, string memory err) internal virtual {
        uint256 delta = stdMath.delta(a, b);

        if (delta > maxDelta) {
            emit log_named_string("Error", err);
            assertApproxEqAbs(a, b, maxDelta);
        }
    }

    function assertApproxEqRel(
        uint256 a,
        uint256 b,
        uint256 maxPercentDelta // An 18 decimal fixed point number, where 1e18 == 100%
    ) internal virtual {
        if (b == 0) return assertEq(a, b); // If the expected is 0, actual must be too.

        uint256 percentDelta = stdMath.percentDelta(a, b);

        if (percentDelta > maxPercentDelta) {
            emit log("Error: a ~= b not satisfied [uint]");
            emit log_named_uint("    Expected", b);
            emit log_named_uint("      Actual", a);
            emit log_named_decimal_uint(" Max % Delta", maxPercentDelta, 18);
            emit log_named_decimal_uint("     % Delta", percentDelta, 18);
            fail();
        }
    }

    function assertApproxEqRel(
        uint256 a,
        uint256 b,
        uint256 maxPercentDelta, // An 18 decimal fixed point number, where 1e18 == 100%
        string memory err
    ) internal virtual {
        if (b == 0) return assertEq(a, b, err); // If the expected is 0, actual must be too.

        uint256 percentDelta = stdMath.percentDelta(a, b);

        if (percentDelta > maxPercentDelta) {
            emit log_named_string("Error", err);
            assertApproxEqRel(a, b, maxPercentDelta);
        }
    }

    function assertApproxEqRel(int256 a, int256 b, uint256 maxPercentDelta) internal virtual {
        if (b == 0) return assertEq(a, b); // If the expected is 0, actual must be too.

        uint256 percentDelta = stdMath.percentDelta(a, b);

        if (percentDelta > maxPercentDelta) {
            emit log("Error: a ~= b not satisfied [int]");
            emit log_named_int("    Expected", b);
            emit log_named_int("      Actual", a);
            emit log_named_decimal_uint(" Max % Delta", maxPercentDelta, 18);
            emit log_named_decimal_uint("     % Delta", percentDelta, 18);
            fail();
        }
    }

    function assertApproxEqRel(int256 a, int256 b, uint256 maxPercentDelta, string memory err) internal virtual {
        if (b == 0) return assertEq(a, b, err); // If the expected is 0, actual must be too.

        uint256 percentDelta = stdMath.percentDelta(a, b);

        if (percentDelta > maxPercentDelta) {
            emit log_named_string("Error", err);
            assertApproxEqRel(a, b, maxPercentDelta);
        }
    }
}

// File: lib/forge-std/src/StdCheats.sol



// SPDX-License-Identifier: MIT
pragma solidity >=0.6.2 <0.9.0;

pragma experimental ABIEncoderV2;

import "./StdStorage.sol";
import "./Vm.sol";

abstract contract StdCheatsSafe {
    VmSafe private constant vm = VmSafe(address(uint160(uint256(keccak256("hevm cheat code")))));

    /// @dev To hide constructor warnings across solc versions due to different constructor visibility requirements and
    /// syntaxes, we put the constructor in a private method and assign an unused return value to a variable. This
    /// forces the method to run during construction, but without declaring an explicit constructor.
    uint256 private CONSTRUCTOR = _constructor();

    struct Chain {
        // The chain name, using underscores as the separator to match `foundry.toml` conventions.
        string name;
        // The chain's Chain ID.
        uint256 chainId;
        // A default RPC endpoint for this chain.
        // NOTE: This default RPC URL is included for convenience to facilitate quick tests and
        // experimentation. Do not use this RPC URL for production test suites, CI, or other heavy
        // usage as you will be throttled and this is a disservice to others who need this endpoint.
        string rpcUrl;
    }

    // Maps from a chain's name (matching what's in the `foundry.toml` file) to chain data.
    mapping(string => Chain) internal stdChains;

    // Data structures to parse Transaction objects from the broadcast artifact
    // that conform to EIP1559. The Raw structs is what is parsed from the JSON
    // and then converted to the one that is used by the user for better UX.

    struct RawTx1559 {
        string[] arguments;
        address contractAddress;
        string contractName;
        // json value name = function
        string functionSig;
        bytes32 hash;
        // json value name = tx
        RawTx1559Detail txDetail;
        // json value name = type
        string opcode;
    }

    struct RawTx1559Detail {
        AccessList[] accessList;
        bytes data;
        address from;
        bytes gas;
        bytes nonce;
        address to;
        bytes txType;
        bytes value;
    }

    struct Tx1559 {
        string[] arguments;
        address contractAddress;
        string contractName;
        string functionSig;
        bytes32 hash;
        Tx1559Detail txDetail;
        string opcode;
    }

    struct Tx1559Detail {
        AccessList[] accessList;
        bytes data;
        address from;
        uint256 gas;
        uint256 nonce;
        address to;
        uint256 txType;
        uint256 value;
    }

    // Data structures to parse Transaction objects from the broadcast artifact
    // that DO NOT conform to EIP1559. The Raw structs is what is parsed from the JSON
    // and then converted to the one that is used by the user for better UX.

    struct TxLegacy {
        string[] arguments;
        address contractAddress;
        string contractName;
        string functionSig;
        string hash;
        string opcode;
        TxDetailLegacy transaction;
    }

    struct TxDetailLegacy {
        AccessList[] accessList;
        uint256 chainId;
        bytes data;
        address from;
        uint256 gas;
        uint256 gasPrice;
        bytes32 hash;
        uint256 nonce;
        bytes1 opcode;
        bytes32 r;
        bytes32 s;
        uint256 txType;
        address to;
        uint8 v;
        uint256 value;
    }

    struct AccessList {
        address accessAddress;
        bytes32[] storageKeys;
    }

    // Data structures to parse Receipt objects from the broadcast artifact.
    // The Raw structs is what is parsed from the JSON
    // and then converted to the one that is used by the user for better UX.

    struct RawReceipt {
        bytes32 blockHash;
        bytes blockNumber;
        address contractAddress;
        bytes cumulativeGasUsed;
        bytes effectiveGasPrice;
        address from;
        bytes gasUsed;
        RawReceiptLog[] logs;
        bytes logsBloom;
        bytes status;
        address to;
        bytes32 transactionHash;
        bytes transactionIndex;
    }

    struct Receipt {
        bytes32 blockHash;
        uint256 blockNumber;
        address contractAddress;
        uint256 cumulativeGasUsed;
        uint256 effectiveGasPrice;
        address from;
        uint256 gasUsed;
        ReceiptLog[] logs;
        bytes logsBloom;
        uint256 status;
        address to;
        bytes32 transactionHash;
        uint256 transactionIndex;
    }

    // Data structures to parse the entire broadcast artifact, assuming the
    // transactions conform to EIP1559.

    struct EIP1559ScriptArtifact {
        string[] libraries;
        string path;
        string[] pending;
        Receipt[] receipts;
        uint256 timestamp;
        Tx1559[] transactions;
        TxReturn[] txReturns;
    }

    struct RawEIP1559ScriptArtifact {
        string[] libraries;
        string path;
        string[] pending;
        RawReceipt[] receipts;
        TxReturn[] txReturns;
        uint256 timestamp;
        RawTx1559[] transactions;
    }

    struct RawReceiptLog {
        // json value = address
        address logAddress;
        bytes32 blockHash;
        bytes blockNumber;
        bytes data;
        bytes logIndex;
        bool removed;
        bytes32[] topics;
        bytes32 transactionHash;
        bytes transactionIndex;
        bytes transactionLogIndex;
    }

    struct ReceiptLog {
        // json value = address
        address logAddress;
        bytes32 blockHash;
        uint256 blockNumber;
        bytes data;
        uint256 logIndex;
        bytes32[] topics;
        uint256 transactionIndex;
        uint256 transactionLogIndex;
        bool removed;
    }

    struct TxReturn {
        string internalType;
        string value;
    }

    function _constructor() private returns (uint256) {
        // Initialize `stdChains` with the defaults.
        stdChains["anvil"] = Chain("Anvil", 31337, "http://127.0.0.1:8545");
        stdChains["hardhat"] = Chain("Hardhat", 31337, "http://127.0.0.1:8545");
        stdChains["mainnet"] = Chain("Mainnet", 1, "https://mainnet.infura.io/v3/6770454bc6ea42c58aac12978531b93f");
        stdChains["goerli"] = Chain("Goerli", 5, "https://goerli.infura.io/v3/6770454bc6ea42c58aac12978531b93f");
        stdChains["sepolia"] = Chain("Sepolia", 11155111, "https://rpc.sepolia.dev");
        stdChains["optimism"] = Chain("Optimism", 10, "https://mainnet.optimism.io");
        stdChains["optimism_goerli"] = Chain("Optimism Goerli", 420, "https://goerli.optimism.io");
        stdChains["arbitrum_one"] = Chain("Arbitrum One", 42161, "https://arb1.arbitrum.io/rpc");
        stdChains["arbitrum_one_goerli"] = Chain("Arbitrum One Goerli", 421613, "https://goerli-rollup.arbitrum.io/rpc");
        stdChains["arbitrum_nova"] = Chain("Arbitrum Nova", 42170, "https://nova.arbitrum.io/rpc");
        stdChains["polygon"] = Chain("Polygon", 137, "https://polygon-rpc.com");
        stdChains["polygon_mumbai"] = Chain("Polygon Mumbai", 80001, "https://rpc-mumbai.matic.today");
        stdChains["avalanche"] = Chain("Avalanche", 43114, "https://api.avax.network/ext/bc/C/rpc");
        stdChains["avalanche_fuji"] = Chain("Avalanche Fuji", 43113, "https://api.avax-test.network/ext/bc/C/rpc");
        stdChains["bnb_smart_chain"] = Chain("BNB Smart Chain", 56, "https://bsc-dataseed1.binance.org");
        stdChains["bnb_smart_chain_testnet"] = Chain("BNB Smart Chain Testnet", 97, "https://data-seed-prebsc-1-s1.binance.org:8545");// forgefmt: disable-line
        stdChains["gnosis_chain"] = Chain("Gnosis Chain", 100, "https://rpc.gnosischain.com");

        // Loop over RPC URLs in the config file to replace the default RPC URLs
        Vm.Rpc[] memory rpcs = vm.rpcUrlStructs();
        for (uint256 i = 0; i < rpcs.length; i++) {
            stdChains[rpcs[i].name].rpcUrl = rpcs[i].url;
        }
        return 0;
    }

    function assumeNoPrecompiles(address addr) internal view virtual {
        // Assembly required since `block.chainid` was introduced in 0.8.0.
        uint256 chainId;
        assembly {
            chainId := chainid()
        }
        assumeNoPrecompiles(addr, chainId);
    }

    function assumeNoPrecompiles(address addr, uint256 chainId) internal view virtual {
        // Note: For some chains like Optimism these are technically predeploys (i.e. bytecode placed at a specific
        // address), but the same rationale for excluding them applies so we include those too.

        // These should be present on all EVM-compatible chains.
        vm.assume(addr < address(0x1) || addr > address(0x9));

        // forgefmt: disable-start
        if (chainId == stdChains["optimism"].chainId || chainId == stdChains["optimism_goerli"].chainId) {
            // https://github.com/ethereum-optimism/optimism/blob/eaa371a0184b56b7ca6d9eb9cb0a2b78b2ccd864/op-bindings/predeploys/addresses.go#L6-L21
            vm.assume(addr < address(0x4200000000000000000000000000000000000000) || addr > address(0x4200000000000000000000000000000000000800));
        } else if (chainId == stdChains["arbitrum_one"].chainId || chainId == stdChains["arbitrum_one_goerli"].chainId) {
            // https://developer.arbitrum.io/useful-addresses#arbitrum-precompiles-l2-same-on-all-arb-chains
            vm.assume(addr < address(0x0000000000000000000000000000000000000064) || addr > address(0x0000000000000000000000000000000000000068));
        } else if (chainId == stdChains["avalanche"].chainId || chainId == stdChains["avalanche_fuji"].chainId) {
            // https://github.com/ava-labs/subnet-evm/blob/47c03fd007ecaa6de2c52ea081596e0a88401f58/precompile/params.go#L18-L59
            vm.assume(addr < address(0x0100000000000000000000000000000000000000) || addr > address(0x01000000000000000000000000000000000000ff));
            vm.assume(addr < address(0x0200000000000000000000000000000000000000) || addr > address(0x02000000000000000000000000000000000000FF));
            vm.assume(addr < address(0x0300000000000000000000000000000000000000) || addr > address(0x03000000000000000000000000000000000000Ff));
        }
        // forgefmt: disable-end
    }

    function readEIP1559ScriptArtifact(string memory path)
        internal
        view
        virtual
        returns (EIP1559ScriptArtifact memory)
    {
        string memory data = vm.readFile(path);
        bytes memory parsedData = vm.parseJson(data);
        RawEIP1559ScriptArtifact memory rawArtifact = abi.decode(parsedData, (RawEIP1559ScriptArtifact));
        EIP1559ScriptArtifact memory artifact;
        artifact.libraries = rawArtifact.libraries;
        artifact.path = rawArtifact.path;
        artifact.timestamp = rawArtifact.timestamp;
        artifact.pending = rawArtifact.pending;
        artifact.txReturns = rawArtifact.txReturns;
        artifact.receipts = rawToConvertedReceipts(rawArtifact.receipts);
        artifact.transactions = rawToConvertedEIPTx1559s(rawArtifact.transactions);
        return artifact;
    }

    function rawToConvertedEIPTx1559s(RawTx1559[] memory rawTxs) internal pure virtual returns (Tx1559[] memory) {
        Tx1559[] memory txs = new Tx1559[](rawTxs.length);
        for (uint256 i; i < rawTxs.length; i++) {
            txs[i] = rawToConvertedEIPTx1559(rawTxs[i]);
        }
        return txs;
    }

    function rawToConvertedEIPTx1559(RawTx1559 memory rawTx) internal pure virtual returns (Tx1559 memory) {
        Tx1559 memory transaction;
        transaction.arguments = rawTx.arguments;
        transaction.contractName = rawTx.contractName;
        transaction.functionSig = rawTx.functionSig;
        transaction.hash = rawTx.hash;
        transaction.txDetail = rawToConvertedEIP1559Detail(rawTx.txDetail);
        transaction.opcode = rawTx.opcode;
        return transaction;
    }

    function rawToConvertedEIP1559Detail(RawTx1559Detail memory rawDetail)
        internal
        pure
        virtual
        returns (Tx1559Detail memory)
    {
        Tx1559Detail memory txDetail;
        txDetail.data = rawDetail.data;
        txDetail.from = rawDetail.from;
        txDetail.to = rawDetail.to;
        txDetail.nonce = _bytesToUint(rawDetail.nonce);
        txDetail.txType = _bytesToUint(rawDetail.txType);
        txDetail.value = _bytesToUint(rawDetail.value);
        txDetail.gas = _bytesToUint(rawDetail.gas);
        txDetail.accessList = rawDetail.accessList;
        return txDetail;
    }

    function readTx1559s(string memory path) internal view virtual returns (Tx1559[] memory) {
        string memory deployData = vm.readFile(path);
        bytes memory parsedDeployData = vm.parseJson(deployData, ".transactions");
        RawTx1559[] memory rawTxs = abi.decode(parsedDeployData, (RawTx1559[]));
        return rawToConvertedEIPTx1559s(rawTxs);
    }

    function readTx1559(string memory path, uint256 index) internal view virtual returns (Tx1559 memory) {
        string memory deployData = vm.readFile(path);
        string memory key = string(abi.encodePacked(".transactions[", vm.toString(index), "]"));
        bytes memory parsedDeployData = vm.parseJson(deployData, key);
        RawTx1559 memory rawTx = abi.decode(parsedDeployData, (RawTx1559));
        return rawToConvertedEIPTx1559(rawTx);
    }

    // Analogous to readTransactions, but for receipts.
    function readReceipts(string memory path) internal view virtual returns (Receipt[] memory) {
        string memory deployData = vm.readFile(path);
        bytes memory parsedDeployData = vm.parseJson(deployData, ".receipts");
        RawReceipt[] memory rawReceipts = abi.decode(parsedDeployData, (RawReceipt[]));
        return rawToConvertedReceipts(rawReceipts);
    }

    function readReceipt(string memory path, uint256 index) internal view virtual returns (Receipt memory) {
        string memory deployData = vm.readFile(path);
        string memory key = string(abi.encodePacked(".receipts[", vm.toString(index), "]"));
        bytes memory parsedDeployData = vm.parseJson(deployData, key);
        RawReceipt memory rawReceipt = abi.decode(parsedDeployData, (RawReceipt));
        return rawToConvertedReceipt(rawReceipt);
    }

    function rawToConvertedReceipts(RawReceipt[] memory rawReceipts) internal pure virtual returns (Receipt[] memory) {
        Receipt[] memory receipts = new Receipt[](rawReceipts.length);
        for (uint256 i; i < rawReceipts.length; i++) {
            receipts[i] = rawToConvertedReceipt(rawReceipts[i]);
        }
        return receipts;
    }

    function rawToConvertedReceipt(RawReceipt memory rawReceipt) internal pure virtual returns (Receipt memory) {
        Receipt memory receipt;
        receipt.blockHash = rawReceipt.blockHash;
        receipt.to = rawReceipt.to;
        receipt.from = rawReceipt.from;
        receipt.contractAddress = rawReceipt.contractAddress;
        receipt.effectiveGasPrice = _bytesToUint(rawReceipt.effectiveGasPrice);
        receipt.cumulativeGasUsed = _bytesToUint(rawReceipt.cumulativeGasUsed);
        receipt.gasUsed = _bytesToUint(rawReceipt.gasUsed);
        receipt.status = _bytesToUint(rawReceipt.status);
        receipt.transactionIndex = _bytesToUint(rawReceipt.transactionIndex);
        receipt.blockNumber = _bytesToUint(rawReceipt.blockNumber);
        receipt.logs = rawToConvertedReceiptLogs(rawReceipt.logs);
        receipt.logsBloom = rawReceipt.logsBloom;
        receipt.transactionHash = rawReceipt.transactionHash;
        return receipt;
    }

    function rawToConvertedReceiptLogs(RawReceiptLog[] memory rawLogs)
        internal
        pure
        virtual
        returns (ReceiptLog[] memory)
    {
        ReceiptLog[] memory logs = new ReceiptLog[](rawLogs.length);
        for (uint256 i; i < rawLogs.length; i++) {
            logs[i].logAddress = rawLogs[i].logAddress;
            logs[i].blockHash = rawLogs[i].blockHash;
            logs[i].blockNumber = _bytesToUint(rawLogs[i].blockNumber);
            logs[i].data = rawLogs[i].data;
            logs[i].logIndex = _bytesToUint(rawLogs[i].logIndex);
            logs[i].topics = rawLogs[i].topics;
            logs[i].transactionIndex = _bytesToUint(rawLogs[i].transactionIndex);
            logs[i].transactionLogIndex = _bytesToUint(rawLogs[i].transactionLogIndex);
            logs[i].removed = rawLogs[i].removed;
        }
        return logs;
    }

    // Deploy a contract by fetching the contract bytecode from
    // the artifacts directory
    // e.g. `deployCode(code, abi.encode(arg1,arg2,arg3))`
    function deployCode(string memory what, bytes memory args) internal virtual returns (address addr) {
        bytes memory bytecode = abi.encodePacked(vm.getCode(what), args);
        /// @solidity memory-safe-assembly
        assembly {
            addr := create(0, add(bytecode, 0x20), mload(bytecode))
        }

        require(addr != address(0), "StdCheats deployCode(string,bytes): Deployment failed.");
    }

    function deployCode(string memory what) internal virtual returns (address addr) {
        bytes memory bytecode = vm.getCode(what);
        /// @solidity memory-safe-assembly
        assembly {
            addr := create(0, add(bytecode, 0x20), mload(bytecode))
        }

        require(addr != address(0), "StdCheats deployCode(string): Deployment failed.");
    }

    /// @dev deploy contract with value on construction
    function deployCode(string memory what, bytes memory args, uint256 val) internal virtual returns (address addr) {
        bytes memory bytecode = abi.encodePacked(vm.getCode(what), args);
        /// @solidity memory-safe-assembly
        assembly {
            addr := create(val, add(bytecode, 0x20), mload(bytecode))
        }

        require(addr != address(0), "StdCheats deployCode(string,bytes,uint256): Deployment failed.");
    }

    function deployCode(string memory what, uint256 val) internal virtual returns (address addr) {
        bytes memory bytecode = vm.getCode(what);
        /// @solidity memory-safe-assembly
        assembly {
            addr := create(val, add(bytecode, 0x20), mload(bytecode))
        }

        require(addr != address(0), "StdCheats deployCode(string,uint256): Deployment failed.");
    }

    // creates a labeled address and the corresponding private key
    function makeAddrAndKey(string memory name) internal virtual returns (address addr, uint256 privateKey) {
        privateKey = uint256(keccak256(abi.encodePacked(name)));
        addr = vm.addr(privateKey);
        vm.label(addr, name);
    }

    // creates a labeled address
    function makeAddr(string memory name) internal virtual returns (address addr) {
        (addr,) = makeAddrAndKey(name);
    }

    function deriveRememberKey(string memory mnemonic, uint32 index)
        internal
        virtual
        returns (address who, uint256 privateKey)
    {
        privateKey = vm.deriveKey(mnemonic, index);
        who = vm.rememberKey(privateKey);
    }

    function _bytesToUint(bytes memory b) private pure returns (uint256) {
        require(b.length <= 32, "StdCheats _bytesToUint(bytes): Bytes length exceeds 32.");
        return abi.decode(abi.encodePacked(new bytes(32 - b.length), b), (uint256));
    }
}

// Wrappers around cheatcodes to avoid footguns
abstract contract StdCheats is StdCheatsSafe {
    using stdStorage for StdStorage;

    StdStorage private stdstore;
    Vm private constant vm = Vm(address(uint160(uint256(keccak256("hevm cheat code")))));

    // Skip forward or rewind time by the specified number of seconds
    function skip(uint256 time) internal virtual {
        vm.warp(block.timestamp + time);
    }

    function rewind(uint256 time) internal virtual {
        vm.warp(block.timestamp - time);
    }

    // Setup a prank from an address that has some ether
    function hoax(address who) internal virtual {
        vm.deal(who, 1 << 128);
        vm.prank(who);
    }

    function hoax(address who, uint256 give) internal virtual {
        vm.deal(who, give);
        vm.prank(who);
    }

    function hoax(address who, address origin) internal virtual {
        vm.deal(who, 1 << 128);
        vm.prank(who, origin);
    }

    function hoax(address who, address origin, uint256 give) internal virtual {
        vm.deal(who, give);
        vm.prank(who, origin);
    }

    // Start perpetual prank from an address that has some ether
    function startHoax(address who) internal virtual {
        vm.deal(who, 1 << 128);
        vm.startPrank(who);
    }

    function startHoax(address who, uint256 give) internal virtual {
        vm.deal(who, give);
        vm.startPrank(who);
    }

    // Start perpetual prank from an address that has some ether
    // tx.origin is set to the origin parameter
    function startHoax(address who, address origin) internal virtual {
        vm.deal(who, 1 << 128);
        vm.startPrank(who, origin);
    }

    function startHoax(address who, address origin, uint256 give) internal virtual {
        vm.deal(who, give);
        vm.startPrank(who, origin);
    }

    function changePrank(address who) internal virtual {
        vm.stopPrank();
        vm.startPrank(who);
    }

    // The same as Vm's `deal`
    // Use the alternative signature for ERC20 tokens
    function deal(address to, uint256 give) internal virtual {
        vm.deal(to, give);
    }

    // Set the balance of an account for any ERC20 token
    // Use the alternative signature to update `totalSupply`
    function deal(address token, address to, uint256 give) internal virtual {
        deal(token, to, give, false);
    }

    function deal(address token, address to, uint256 give, bool adjust) internal virtual {
        // get current balance
        (, bytes memory balData) = token.call(abi.encodeWithSelector(0x70a08231, to));
        uint256 prevBal = abi.decode(balData, (uint256));

        // update balance
        stdstore.target(token).sig(0x70a08231).with_key(to).checked_write(give);

        // update total supply
        if (adjust) {
            (, bytes memory totSupData) = token.call(abi.encodeWithSelector(0x18160ddd));
            uint256 totSup = abi.decode(totSupData, (uint256));
            if (give < prevBal) {
                totSup -= (prevBal - give);
            } else {
                totSup += (give - prevBal);
            }
            stdstore.target(token).sig(0x18160ddd).checked_write(totSup);
        }
    }
}

// File: lib/forge-std/src/StdError.sol



// SPDX-License-Identifier: MIT
// Panics work for versions >=0.8.0, but we lowered the pragma to make this compatible with Test
pragma solidity >=0.6.2 <0.9.0;

library stdError {
    bytes public constant assertionError = abi.encodeWithSignature("Panic(uint256)", 0x01);
    bytes public constant arithmeticError = abi.encodeWithSignature("Panic(uint256)", 0x11);
    bytes public constant divisionError = abi.encodeWithSignature("Panic(uint256)", 0x12);
    bytes public constant enumConversionError = abi.encodeWithSignature("Panic(uint256)", 0x21);
    bytes public constant encodeStorageError = abi.encodeWithSignature("Panic(uint256)", 0x22);
    bytes public constant popError = abi.encodeWithSignature("Panic(uint256)", 0x31);
    bytes public constant indexOOBError = abi.encodeWithSignature("Panic(uint256)", 0x32);
    bytes public constant memOverflowError = abi.encodeWithSignature("Panic(uint256)", 0x41);
    bytes public constant zeroVarError = abi.encodeWithSignature("Panic(uint256)", 0x51);
}

// File: lib/forge-std/src/StdJson.sol



// SPDX-License-Identifier: MIT
pragma solidity >=0.6.0 <0.9.0;

pragma experimental ABIEncoderV2;

import "./Vm.sol";

// Helpers for parsing and writing JSON files
// To parse:
// ```
// using stdJson for string;
// string memory json = vm.readFile("some_peth");
// json.parseUint("<json_path>");
// ```
// To write:
// ```
// using stdJson for string;
// string memory json = "deploymentArtifact";
// Contract contract = new Contract();
// json.serialize("contractAddress", address(contract));
// json = json.serialize("deploymentTimes", uint(1));
// // store the stringified JSON to the 'json' variable we have been using as a key
// // as we won't need it any longer
// string memory json2 = "finalArtifact";
// string memory final = json2.serialize("depArtifact", json);
// final.write("<some_path>");
// ```

library stdJson {
    VmSafe private constant vm = Vm(address(uint160(uint256(keccak256("hevm cheat code")))));

    function parseRaw(string memory json, string memory key) internal pure returns (bytes memory) {
        return vm.parseJson(json, key);
    }

    function readUint(string memory json, string memory key) internal pure returns (uint256) {
        return abi.decode(vm.parseJson(json, key), (uint256));
    }

    function readUintArray(string memory json, string memory key) internal pure returns (uint256[] memory) {
        return abi.decode(vm.parseJson(json, key), (uint256[]));
    }

    function readInt(string memory json, string memory key) internal pure returns (int256) {
        return abi.decode(vm.parseJson(json, key), (int256));
    }

    function readIntArray(string memory json, string memory key) internal pure returns (int256[] memory) {
        return abi.decode(vm.parseJson(json, key), (int256[]));
    }

    function readBytes32(string memory json, string memory key) internal pure returns (bytes32) {
        return abi.decode(vm.parseJson(json, key), (bytes32));
    }

    function readBytes32Array(string memory json, string memory key) internal pure returns (bytes32[] memory) {
        return abi.decode(vm.parseJson(json, key), (bytes32[]));
    }

    function readString(string memory json, string memory key) internal pure returns (string memory) {
        return abi.decode(vm.parseJson(json, key), (string));
    }

    function readStringArray(string memory json, string memory key) internal pure returns (string[] memory) {
        return abi.decode(vm.parseJson(json, key), (string[]));
    }

    function readAddress(string memory json, string memory key) internal pure returns (address) {
        return abi.decode(vm.parseJson(json, key), (address));
    }

    function readAddressArray(string memory json, string memory key) internal pure returns (address[] memory) {
        return abi.decode(vm.parseJson(json, key), (address[]));
    }

    function readBool(string memory json, string memory key) internal pure returns (bool) {
        return abi.decode(vm.parseJson(json, key), (bool));
    }

    function readBoolArray(string memory json, string memory key) internal pure returns (bool[] memory) {
        return abi.decode(vm.parseJson(json, key), (bool[]));
    }

    function readBytes(string memory json, string memory key) internal pure returns (bytes memory) {
        return abi.decode(vm.parseJson(json, key), (bytes));
    }

    function readBytesArray(string memory json, string memory key) internal pure returns (bytes[] memory) {
        return abi.decode(vm.parseJson(json, key), (bytes[]));
    }

    function serialize(string memory jsonKey, string memory key, bool value) internal returns (string memory) {
        return vm.serializeBool(jsonKey, key, value);
    }

    function serialize(string memory jsonKey, string memory key, bool[] memory value)
        internal
        returns (string memory)
    {
        return vm.serializeBool(jsonKey, key, value);
    }

    function serialize(string memory jsonKey, string memory key, uint256 value) internal returns (string memory) {
        return vm.serializeUint(jsonKey, key, value);
    }

    function serialize(string memory jsonKey, string memory key, uint256[] memory value)
        internal
        returns (string memory)
    {
        return vm.serializeUint(jsonKey, key, value);
    }

    function serialize(string memory jsonKey, string memory key, int256 value) internal returns (string memory) {
        return vm.serializeInt(jsonKey, key, value);
    }

    function serialize(string memory jsonKey, string memory key, int256[] memory value)
        internal
        returns (string memory)
    {
        return vm.serializeInt(jsonKey, key, value);
    }

    function serialize(string memory jsonKey, string memory key, address value) internal returns (string memory) {
        return vm.serializeAddress(jsonKey, key, value);
    }

    function serialize(string memory jsonKey, string memory key, address[] memory value)
        internal
        returns (string memory)
    {
        return vm.serializeAddress(jsonKey, key, value);
    }

    function serialize(string memory jsonKey, string memory key, bytes32 value) internal returns (string memory) {
        return vm.serializeBytes32(jsonKey, key, value);
    }

    function serialize(string memory jsonKey, string memory key, bytes32[] memory value)
        internal
        returns (string memory)
    {
        return vm.serializeBytes32(jsonKey, key, value);
    }

    function serialize(string memory jsonKey, string memory key, bytes memory value) internal returns (string memory) {
        return vm.serializeBytes(jsonKey, key, value);
    }

    function serialize(string memory jsonKey, string memory key, bytes[] memory value)
        internal
        returns (string memory)
    {
        return vm.serializeBytes(jsonKey, key, value);
    }

    function serialize(string memory jsonKey, string memory key, string memory value)
        internal
        returns (string memory)
    {
        return vm.serializeString(jsonKey, key, value);
    }

    function serialize(string memory jsonKey, string memory key, string[] memory value)
        internal
        returns (string memory)
    {
        return vm.serializeString(jsonKey, key, value);
    }

    function write(string memory jsonKey, string memory path) internal {
        vm.writeJson(jsonKey, path);
    }

    function write(string memory jsonKey, string memory path, string memory valueKey) internal {
        vm.writeJson(jsonKey, path, valueKey);
    }
}

// File: lib/forge-std/src/StdMath.sol



// SPDX-License-Identifier: MIT
pragma solidity >=0.6.2 <0.9.0;

library stdMath {
    int256 private constant INT256_MIN = -57896044618658097711785492504343953926634992332820282019728792003956564819968;

    function abs(int256 a) internal pure returns (uint256) {
        // Required or it will fail when `a = type(int256).min`
        if (a == INT256_MIN) {
            return 57896044618658097711785492504343953926634992332820282019728792003956564819968;
        }

        return uint256(a > 0 ? a : -a);
    }

    function delta(uint256 a, uint256 b) internal pure returns (uint256) {
        return a > b ? a - b : b - a;
    }

    function delta(int256 a, int256 b) internal pure returns (uint256) {
        // a and b are of the same sign
        // this works thanks to two's complement, the left-most bit is the sign bit
        if ((a ^ b) > -1) {
            return delta(abs(a), abs(b));
        }

        // a and b are of opposite signs
        return abs(a) + abs(b);
    }

    function percentDelta(uint256 a, uint256 b) internal pure returns (uint256) {
        uint256 absDelta = delta(a, b);

        return absDelta * 1e18 / b;
    }

    function percentDelta(int256 a, int256 b) internal pure returns (uint256) {
        uint256 absDelta = delta(a, b);
        uint256 absB = abs(b);

        return absDelta * 1e18 / absB;
    }
}

// File: lib/forge-std/src/StdStorage.sol



// SPDX-License-Identifier: MIT
pragma solidity >=0.6.2 <0.9.0;

import "./Vm.sol";

struct StdStorage {
    mapping(address => mapping(bytes4 => mapping(bytes32 => uint256))) slots;
    mapping(address => mapping(bytes4 => mapping(bytes32 => bool))) finds;
    bytes32[] _keys;
    bytes4 _sig;
    uint256 _depth;
    address _target;
    bytes32 _set;
}

library stdStorageSafe {
    event SlotFound(address who, bytes4 fsig, bytes32 keysHash, uint256 slot);
    event WARNING_UninitedSlot(address who, uint256 slot);

    Vm private constant vm = Vm(address(uint160(uint256(keccak256("hevm cheat code")))));

    function sigs(string memory sigStr) internal pure returns (bytes4) {
        return bytes4(keccak256(bytes(sigStr)));
    }

    /// @notice find an arbitrary storage slot given a function sig, input data, address of the contract and a value to check against
    // slot complexity:
    //  if flat, will be bytes32(uint256(uint));
    //  if map, will be keccak256(abi.encode(key, uint(slot)));
    //  if deep map, will be keccak256(abi.encode(key1, keccak256(abi.encode(key0, uint(slot)))));
    //  if map struct, will be bytes32(uint256(keccak256(abi.encode(key1, keccak256(abi.encode(key0, uint(slot)))))) + structFieldDepth);
    function find(StdStorage storage self) internal returns (uint256) {
        address who = self._target;
        bytes4 fsig = self._sig;
        uint256 field_depth = self._depth;
        bytes32[] memory ins = self._keys;

        // calldata to test against
        if (self.finds[who][fsig][keccak256(abi.encodePacked(ins, field_depth))]) {
            return self.slots[who][fsig][keccak256(abi.encodePacked(ins, field_depth))];
        }
        bytes memory cald = abi.encodePacked(fsig, flatten(ins));
        vm.record();
        bytes32 fdat;
        {
            (, bytes memory rdat) = who.staticcall(cald);
            fdat = bytesToBytes32(rdat, 32 * field_depth);
        }

        (bytes32[] memory reads,) = vm.accesses(address(who));
        if (reads.length == 1) {
            bytes32 curr = vm.load(who, reads[0]);
            if (curr == bytes32(0)) {
                emit WARNING_UninitedSlot(who, uint256(reads[0]));
            }
            if (fdat != curr) {
                require(
                    false,
                    "stdStorage find(StdStorage): Packed slot. This would cause dangerous overwriting and currently isn't supported."
                );
            }
            emit SlotFound(who, fsig, keccak256(abi.encodePacked(ins, field_depth)), uint256(reads[0]));
            self.slots[who][fsig][keccak256(abi.encodePacked(ins, field_depth))] = uint256(reads[0]);
            self.finds[who][fsig][keccak256(abi.encodePacked(ins, field_depth))] = true;
        } else if (reads.length > 1) {
            for (uint256 i = 0; i < reads.length; i++) {
                bytes32 prev = vm.load(who, reads[i]);
                if (prev == bytes32(0)) {
                    emit WARNING_UninitedSlot(who, uint256(reads[i]));
                }
                // store
                vm.store(who, reads[i], bytes32(hex"1337"));
                bool success;
                bytes memory rdat;
                {
                    (success, rdat) = who.staticcall(cald);
                    fdat = bytesToBytes32(rdat, 32 * field_depth);
                }

                if (success && fdat == bytes32(hex"1337")) {
                    // we found which of the slots is the actual one
                    emit SlotFound(who, fsig, keccak256(abi.encodePacked(ins, field_depth)), uint256(reads[i]));
                    self.slots[who][fsig][keccak256(abi.encodePacked(ins, field_depth))] = uint256(reads[i]);
                    self.finds[who][fsig][keccak256(abi.encodePacked(ins, field_depth))] = true;
                    vm.store(who, reads[i], prev);
                    break;
                }
                vm.store(who, reads[i], prev);
            }
        } else {
            require(false, "stdStorage find(StdStorage): No storage use detected for target.");
        }

        require(
            self.finds[who][fsig][keccak256(abi.encodePacked(ins, field_depth))],
            "stdStorage find(StdStorage): Slot(s) not found."
        );

        delete self._target;
        delete self._sig;
        delete self._keys;
        delete self._depth;

        return self.slots[who][fsig][keccak256(abi.encodePacked(ins, field_depth))];
    }

    function target(StdStorage storage self, address _target) internal returns (StdStorage storage) {
        self._target = _target;
        return self;
    }

    function sig(StdStorage storage self, bytes4 _sig) internal returns (StdStorage storage) {
        self._sig = _sig;
        return self;
    }

    function sig(StdStorage storage self, string memory _sig) internal returns (StdStorage storage) {
        self._sig = sigs(_sig);
        return self;
    }

    function with_key(StdStorage storage self, address who) internal returns (StdStorage storage) {
        self._keys.push(bytes32(uint256(uint160(who))));
        return self;
    }

    function with_key(StdStorage storage self, uint256 amt) internal returns (StdStorage storage) {
        self._keys.push(bytes32(amt));
        return self;
    }

    function with_key(StdStorage storage self, bytes32 key) internal returns (StdStorage storage) {
        self._keys.push(key);
        return self;
    }

    function depth(StdStorage storage self, uint256 _depth) internal returns (StdStorage storage) {
        self._depth = _depth;
        return self;
    }

    function read(StdStorage storage self) private returns (bytes memory) {
        address t = self._target;
        uint256 s = find(self);
        return abi.encode(vm.load(t, bytes32(s)));
    }

    function read_bytes32(StdStorage storage self) internal returns (bytes32) {
        return abi.decode(read(self), (bytes32));
    }

    function read_bool(StdStorage storage self) internal returns (bool) {
        int256 v = read_int(self);
        if (v == 0) return false;
        if (v == 1) return true;
        revert("stdStorage read_bool(StdStorage): Cannot decode. Make sure you are reading a bool.");
    }

    function read_address(StdStorage storage self) internal returns (address) {
        return abi.decode(read(self), (address));
    }

    function read_uint(StdStorage storage self) internal returns (uint256) {
        return abi.decode(read(self), (uint256));
    }

    function read_int(StdStorage storage self) internal returns (int256) {
        return abi.decode(read(self), (int256));
    }

    function bytesToBytes32(bytes memory b, uint256 offset) private pure returns (bytes32) {
        bytes32 out;

        uint256 max = b.length > 32 ? 32 : b.length;
        for (uint256 i = 0; i < max; i++) {
            out |= bytes32(b[offset + i] & 0xFF) >> (i * 8);
        }
        return out;
    }

    function flatten(bytes32[] memory b) private pure returns (bytes memory) {
        bytes memory result = new bytes(b.length * 32);
        for (uint256 i = 0; i < b.length; i++) {
            bytes32 k = b[i];
            /// @solidity memory-safe-assembly
            assembly {
                mstore(add(result, add(32, mul(32, i))), k)
            }
        }

        return result;
    }
}

library stdStorage {
    Vm private constant vm = Vm(address(uint160(uint256(keccak256("hevm cheat code")))));

    function sigs(string memory sigStr) internal pure returns (bytes4) {
        return stdStorageSafe.sigs(sigStr);
    }

    function find(StdStorage storage self) internal returns (uint256) {
        return stdStorageSafe.find(self);
    }

    function target(StdStorage storage self, address _target) internal returns (StdStorage storage) {
        return stdStorageSafe.target(self, _target);
    }

    function sig(StdStorage storage self, bytes4 _sig) internal returns (StdStorage storage) {
        return stdStorageSafe.sig(self, _sig);
    }

    function sig(StdStorage storage self, string memory _sig) internal returns (StdStorage storage) {
        return stdStorageSafe.sig(self, _sig);
    }

    function with_key(StdStorage storage self, address who) internal returns (StdStorage storage) {
        return stdStorageSafe.with_key(self, who);
    }

    function with_key(StdStorage storage self, uint256 amt) internal returns (StdStorage storage) {
        return stdStorageSafe.with_key(self, amt);
    }

    function with_key(StdStorage storage self, bytes32 key) internal returns (StdStorage storage) {
        return stdStorageSafe.with_key(self, key);
    }

    function depth(StdStorage storage self, uint256 _depth) internal returns (StdStorage storage) {
        return stdStorageSafe.depth(self, _depth);
    }

    function checked_write(StdStorage storage self, address who) internal {
        checked_write(self, bytes32(uint256(uint160(who))));
    }

    function checked_write(StdStorage storage self, uint256 amt) internal {
        checked_write(self, bytes32(amt));
    }

    function checked_write(StdStorage storage self, bool write) internal {
        bytes32 t;
        /// @solidity memory-safe-assembly
        assembly {
            t := write
        }
        checked_write(self, t);
    }

    function checked_write(StdStorage storage self, bytes32 set) internal {
        address who = self._target;
        bytes4 fsig = self._sig;
        uint256 field_depth = self._depth;
        bytes32[] memory ins = self._keys;

        bytes memory cald = abi.encodePacked(fsig, flatten(ins));
        if (!self.finds[who][fsig][keccak256(abi.encodePacked(ins, field_depth))]) {
            find(self);
        }
        bytes32 slot = bytes32(self.slots[who][fsig][keccak256(abi.encodePacked(ins, field_depth))]);

        bytes32 fdat;
        {
            (, bytes memory rdat) = who.staticcall(cald);
            fdat = bytesToBytes32(rdat, 32 * field_depth);
        }
        bytes32 curr = vm.load(who, slot);

        if (fdat != curr) {
            require(
                false,
                "stdStorage find(StdStorage): Packed slot. This would cause dangerous overwriting and currently isn't supported."
            );
        }
        vm.store(who, slot, set);
        delete self._target;
        delete self._sig;
        delete self._keys;
        delete self._depth;
    }

    function read_bytes32(StdStorage storage self) internal returns (bytes32) {
        return stdStorageSafe.read_bytes32(self);
    }

    function read_bool(StdStorage storage self) internal returns (bool) {
        return stdStorageSafe.read_bool(self);
    }

    function read_address(StdStorage storage self) internal returns (address) {
        return stdStorageSafe.read_address(self);
    }

    function read_uint(StdStorage storage self) internal returns (uint256) {
        return stdStorageSafe.read_uint(self);
    }

    function read_int(StdStorage storage self) internal returns (int256) {
        return stdStorageSafe.read_int(self);
    }

    // Private function so needs to be copied over
    function bytesToBytes32(bytes memory b, uint256 offset) private pure returns (bytes32) {
        bytes32 out;

        uint256 max = b.length > 32 ? 32 : b.length;
        for (uint256 i = 0; i < max; i++) {
            out |= bytes32(b[offset + i] & 0xFF) >> (i * 8);
        }
        return out;
    }

    // Private function so needs to be copied over
    function flatten(bytes32[] memory b) private pure returns (bytes memory) {
        bytes memory result = new bytes(b.length * 32);
        for (uint256 i = 0; i < b.length; i++) {
            bytes32 k = b[i];
            /// @solidity memory-safe-assembly
            assembly {
                mstore(add(result, add(32, mul(32, i))), k)
            }
        }

        return result;
    }
}

// File: lib/forge-std/src/StdUtils.sol



// SPDX-License-Identifier: MIT
pragma solidity >=0.6.2 <0.9.0;

import "./console2.sol";

abstract contract StdUtils {
    uint256 private constant UINT256_MAX =
        115792089237316195423570985008687907853269984665640564039457584007913129639935;

    function _bound(uint256 x, uint256 min, uint256 max) internal pure virtual returns (uint256 result) {
        require(min <= max, "StdUtils bound(uint256,uint256,uint256): Max is less than min.");

        // If x is between min and max, return x directly. This is to ensure that dictionary values
        // do not get shifted if the min is nonzero. More info: https://github.com/foundry-rs/forge-std/issues/188
        if (x >= min && x <= max) return x;

        uint256 size = max - min + 1;

        // If the value is 0, 1, 2, 3, warp that to min, min+1, min+2, min+3. Similarly for the UINT256_MAX side.
        // This helps ensure coverage of the min/max values.
        if (x <= 3 && size > x) return min + x;
        if (x >= UINT256_MAX - 3 && size > UINT256_MAX - x) return max - (UINT256_MAX - x);

        // Otherwise, wrap x into the range [min, max], i.e. the range is inclusive.
        if (x > max) {
            uint256 diff = x - max;
            uint256 rem = diff % size;
            if (rem == 0) return max;
            result = min + rem - 1;
        } else if (x < min) {
            uint256 diff = min - x;
            uint256 rem = diff % size;
            if (rem == 0) return min;
            result = max - rem + 1;
        }
    }

    function bound(uint256 x, uint256 min, uint256 max) internal view virtual returns (uint256 result) {
        result = _bound(x, min, max);
        console2.log("Bound Result", result);
    }

    /// @dev Compute the address a contract will be deployed at for a given deployer address and nonce
    /// @notice adapated from Solmate implementation (https://github.com/Rari-Capital/solmate/blob/main/src/utils/LibRLP.sol)
    function computeCreateAddress(address deployer, uint256 nonce) internal pure virtual returns (address) {
        // forgefmt: disable-start
        // 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 uses its own value as its length prefix, there is no additional "0x80 + length" prefix that comes before it.
        if (nonce == 0x00)      return addressFromLast20Bytes(keccak256(abi.encodePacked(bytes1(0xd6), bytes1(0x94), deployer, bytes1(0x80))));
        if (nonce <= 0x7f)      return addressFromLast20Bytes(keccak256(abi.encodePacked(bytes1(0xd6), bytes1(0x94), deployer, uint8(nonce))));

        // Nonces greater than 1 byte all follow a consistent encoding scheme, where each value is preceded by a prefix of 0x80 + length.
        if (nonce <= 2**8 - 1)  return addressFromLast20Bytes(keccak256(abi.encodePacked(bytes1(0xd7), bytes1(0x94), deployer, bytes1(0x81), uint8(nonce))));
        if (nonce <= 2**16 - 1) return addressFromLast20Bytes(keccak256(abi.encodePacked(bytes1(0xd8), bytes1(0x94), deployer, bytes1(0x82), uint16(nonce))));
        if (nonce <= 2**24 - 1) return addressFromLast20Bytes(keccak256(abi.encodePacked(bytes1(0xd9), bytes1(0x94), deployer, bytes1(0x83), uint24(nonce))));
        // forgefmt: disable-end

        // More details about RLP encoding can be found here: https://eth.wiki/fundamentals/rlp
        // 0xda = 0xc0 (short RLP prefix) + 0x16 (length of: 0x94 ++ proxy ++ 0x84 ++ nonce)
        // 0x94 = 0x80 + 0x14 (0x14 = the length of an address, 20 bytes, in hex)
        // 0x84 = 0x80 + 0x04 (0x04 = the bytes length of the nonce, 4 bytes, in hex)
        // We assume nobody can have a nonce large enough to require more than 32 bytes.
        return addressFromLast20Bytes(
            keccak256(abi.encodePacked(bytes1(0xda), bytes1(0x94), deployer, bytes1(0x84), uint32(nonce)))
        );
    }

    function computeCreate2Address(bytes32 salt, bytes32 initcodeHash, address deployer)
        internal
        pure
        virtual
        returns (address)
    {
        return addressFromLast20Bytes(keccak256(abi.encodePacked(bytes1(0xff), deployer, salt, initcodeHash)));
    }

    function bytesToUint(bytes memory b) internal pure virtual returns (uint256) {
        require(b.length <= 32, "StdUtils bytesToUint(bytes): Bytes length exceeds 32.");
        return abi.decode(abi.encodePacked(new bytes(32 - b.length), b), (uint256));
    }

    function addressFromLast20Bytes(bytes32 bytesValue) private pure returns (address) {
        return address(uint160(uint256(bytesValue)));
    }
}

// File: lib/forge-std/src/Vm.sol



// SPDX-License-Identifier: MIT
pragma solidity >=0.6.2 <0.9.0;

pragma experimental ABIEncoderV2;

// Cheatcodes are marked as view/pure/none using the following rules:
// 0. A call's observable behaviour includes its return value, logs, reverts and state writes.
// 1. If you can influence a later call's observable behaviour, you're neither `view` nor `pure` (you are modifying some state be it the EVM, interpreter, filesystem, etc),
// 2. Otherwise if you can be influenced by an earlier call, or if reading some state, you're `view`,
// 3. Otherwise you're `pure`.

interface VmSafe {
    struct Log {
        bytes32[] topics;
        bytes data;
        address emitter;
    }

    struct Rpc {
        string name;
        string url;
    }

    // Loads a storage slot from an address (who, slot)
    function load(address, bytes32) external view returns (bytes32);
    // Signs data, (privateKey, digest) => (v, r, s)
    function sign(uint256, bytes32) external pure returns (uint8, bytes32, bytes32);
    // Gets the address for a given private key, (privateKey) => (address)
    function addr(uint256) external pure returns (address);
    // Gets the nonce of an account
    function getNonce(address) external view returns (uint64);
    // Performs a foreign function call via the terminal, (stringInputs) => (result)
    function ffi(string[] calldata) external returns (bytes memory);
    // Sets environment variables, (name, value)
    function setEnv(string calldata, string calldata) external;
    // Reads environment variables, (name) => (value)
    function envBool(string calldata) external view returns (bool);
    function envUint(string calldata) external view returns (uint256);
    function envInt(string calldata) external view returns (int256);
    function envAddress(string calldata) external view returns (address);
    function envBytes32(string calldata) external view returns (bytes32);
    function envString(string calldata) external view returns (string memory);
    function envBytes(string calldata) external view returns (bytes memory);
    // Reads environment variables as arrays, (name, delim) => (value[])
    function envBool(string calldata, string calldata) external view returns (bool[] memory);
    function envUint(string calldata, string calldata) external view returns (uint256[] memory);
    function envInt(string calldata, string calldata) external view returns (int256[] memory);
    function envAddress(string calldata, string calldata) external view returns (address[] memory);
    function envBytes32(string calldata, string calldata) external view returns (bytes32[] memory);
    function envString(string calldata, string calldata) external view returns (string[] memory);
    function envBytes(string calldata, string calldata) external view returns (bytes[] memory);
    // Records all storage reads and writes
    function record() external;
    // Gets all accessed reads and write slot from a recording session, for a given address
    function accesses(address) external returns (bytes32[] memory reads, bytes32[] memory writes);
    // Gets the _creation_ bytecode from an artifact file. Takes in the relative path to the json file
    function getCode(string calldata) external view returns (bytes memory);
    // Gets the _deployed_ bytecode from an artifact file. Takes in the relative path to the json file
    function getDeployedCode(string calldata) external view returns (bytes memory);
    // Labels an address in call traces
    function label(address, string calldata) external;
    // Using the address that calls the test contract, has the next call (at this call depth only) create a transaction that can later be signed and sent onchain
    function broadcast() external;
    // Has the next call (at this call depth only) create a transaction with the address provided as the sender that can later be signed and sent onchain
    function broadcast(address) external;
    // Has the next call (at this call depth only) create a transaction with the private key provided as the sender that can later be signed and sent onchain
    function broadcast(uint256) external;
    // Using the address that calls the test contract, has all subsequent calls (at this call depth only) create transactions that can later be signed and sent onchain
    function startBroadcast() external;
    // Has all subsequent calls (at this call depth only) create transactions with the address provided that can later be signed and sent onchain
    function startBroadcast(address) external;
    // Has all subsequent calls (at this call depth only) create transactions with the private key provided that can later be signed and sent onchain
    function startBroadcast(uint256) external;
    // Stops collecting onchain transactions
    function stopBroadcast() external;
    // Reads the entire content of file to string, (path) => (data)
    function readFile(string calldata) external view returns (string memory);
    // Reads the entire content of file as binary. Path is relative to the project root. (path) => (data)
    function readFileBinary(string calldata) external view returns (bytes memory);
    // Get the path of the current project root
    function projectRoot() external view returns (string memory);
    // Reads next line of file to string, (path) => (line)
    function readLine(string calldata) external view returns (string memory);
    // Writes data to file, creating a file if it does not exist, and entirely replacing its contents if it does.
    // (path, data) => ()
    function writeFile(string calldata, string calldata) external;
    // Writes binary data to a file, creating a file if it does not exist, and entirely replacing its contents if it does.
    // Path is relative to the project root. (path, data) => ()
    function writeFileBinary(string calldata, bytes calldata) external;
    // Writes line to file, creating a file if it does not exist.
    // (path, data) => ()
    function writeLine(string calldata, string calldata) external;
    // Closes file for reading, resetting the offset and allowing to read it from beginning with readLine.
    // (path) => ()
    function closeFile(string calldata) external;
    // Removes file. This cheatcode will revert in the following situations, but is not limited to just these cases:
    // - Path points to a directory.
    // - The file doesn't exist.
    // - The user lacks permissions to remove the file.
    // (path) => ()
    function removeFile(string calldata) external;
    // Convert values to a string, (value) => (stringified value)
    function toString(address) external pure returns (string memory);
    function toString(bytes calldata) external pure returns (string memory);
    function toString(bytes32) external pure returns (string memory);
    function toString(bool) external pure returns (string memory);
    function toString(uint256) external pure returns (string memory);
    function toString(int256) external pure returns (string memory);
    // Convert values from a string, (string) => (parsed value)
    function parseBytes(string calldata) external pure returns (bytes memory);
    function parseAddress(string calldata) external pure returns (address);
    function parseUint(string calldata) external pure returns (uint256);
    function parseInt(string calldata) external pure returns (int256);
    function parseBytes32(string calldata) external pure returns (bytes32);
    function parseBool(string calldata) external pure returns (bool);
    // Record all the transaction logs
    function recordLogs() external;
    // Gets all the recorded logs, () => (logs)
    function getRecordedLogs() external returns (Log[] memory);
    // Derive a private key from a provided mnenomic string (or mnenomic file path) at the derivation path m/44'/60'/0'/0/{index}
    function deriveKey(string calldata, uint32) external pure returns (uint256);
    // Derive a private key from a provided mnenomic string (or mnenomic file path) at the derivation path {path}{index}
    function deriveKey(string calldata, string calldata, uint32) external pure returns (uint256);
    // Adds a private key to the local forge wallet and returns the address
    function rememberKey(uint256) external returns (address);
    //
    // parseJson
    //
    // ----
    // In case the returned value is a JSON object, it's encoded as a ABI-encoded tuple. As JSON objects
    // don't have the notion of ordered, but tuples do, they JSON object is encoded with it's fields ordered in
    // ALPHABETICAL ordser. That means that in order to succesfully decode the tuple, we need to define a tuple that
    // encodes the fields in the same order, which is alphabetical. In the case of Solidity structs, they are encoded
    // as tuples, with the attributes in the order in which they are defined.
    // For example: json = { 'a': 1, 'b': 0xa4tb......3xs}
    // a: uint256
    // b: address
    // To decode that json, we need to define a struct or a tuple as follows:
    // struct json = { uint256 a; address b; }
    // If we defined a json struct with the opposite order, meaning placing the address b first, it would try to
    // decode the tuple in that order, and thus fail.
    // ----
    // Given a string of JSON, return it as ABI-encoded, (stringified json, key) => (ABI-encoded data)
    function parseJson(string calldata, string calldata) external pure returns (bytes memory);
    function parseJson(string calldata) external pure returns (bytes memory);
    //
    // writeJson
    //
    // ----
    // Let's assume we want to write the following JSON to a file:
    //
    // { "boolean": true, "number": 342, "object": { "title": "finally json serialization" } }
    //
    // ```
    //  string memory json1 = "some key";
    //  vm.serializeBool(json1, "boolean", true);
    //  vm.serializeBool(json1, "number", uint256(342));
    //  json2 = "some other key";
    //  string memory output = vm.serializeString(json2, "title", "finally json serialization");
    //  string memory finalJson = vm.serialize(json1, "object", output);
    //  vm.writeJson(finalJson, "./output/example.json");
    // ```
    //  The critical insight is that every invocation of serialization will return the stringified version of the JSON
    // up to that point. That means we can construct arbitrary JSON objects and then use the return stringified version
    // to serialize them as values to another JSON object.
    //
    //  json1 and json2 are simply keys used by the backend to keep track of the objects. So vm.serializeJson(json1,..)
    //  will find the object in-memory that is keyed by "some key".   // writeJson
    // ----
    // Serialize a key and value to a JSON object stored in-memory that can be latery written to a file
    // It returns the stringified version of the specific JSON file up to that moment.
    // (object_key, value_key, value) => (stringified JSON)
    function serializeBool(string calldata, string calldata, bool) external returns (string memory);
    function serializeUint(string calldata, string calldata, uint256) external returns (string memory);
    function serializeInt(string calldata, string calldata, int256) external returns (string memory);
    function serializeAddress(string calldata, string calldata, address) external returns (string memory);
    function serializeBytes32(string calldata, string calldata, bytes32) external returns (string memory);
    function serializeString(string calldata, string calldata, string calldata) external returns (string memory);
    function serializeBytes(string calldata, string calldata, bytes calldata) external returns (string memory);

    function serializeBool(string calldata, string calldata, bool[] calldata) external returns (string memory);
    function serializeUint(string calldata, string calldata, uint256[] calldata) external returns (string memory);
    function serializeInt(string calldata, string calldata, int256[] calldata) external returns (string memory);
    function serializeAddress(string calldata, string calldata, address[] calldata) external returns (string memory);
    function serializeBytes32(string calldata, string calldata, bytes32[] calldata) external returns (string memory);
    function serializeString(string calldata, string calldata, string[] calldata) external returns (string memory);
    function serializeBytes(string calldata, string calldata, bytes[] calldata) external returns (string memory);
    // Write a serialized JSON object to a file. If the file exists, it will be overwritten.
    // (stringified_json, path)
    function writeJson(string calldata, string calldata) external;
    // Write a serialized JSON object to an **existing** JSON file, replacing a value with key = <value_key>
    // This is useful to replace a specific value of a JSON file, without having to parse the entire thing
    // (stringified_json, path, value_key)
    function writeJson(string calldata, string calldata, string calldata) external;
    // Returns the RPC url for the given alias
    function rpcUrl(string calldata) external view returns (string memory);
    // Returns all rpc urls and their aliases `[alias, url][]`
    function rpcUrls() external view returns (string[2][] memory);
    // Returns all rpc urls and their aliases as structs.
    function rpcUrlStructs() external view returns (Rpc[] memory);
    // If the condition is false, discard this run's fuzz inputs and generate new ones.
    function assume(bool) external pure;
}

interface Vm is VmSafe {
    // Sets block.timestamp (newTimestamp)
    function warp(uint256) external;
    // Sets block.height (newHeight)
    function roll(uint256) external;
    // Sets block.basefee (newBasefee)
    function fee(uint256) external;
    // Sets block.difficulty (newDifficulty)
    function difficulty(uint256) external;
    // Sets block.chainid
    function chainId(uint256) external;
    // Stores a value to an address' storage slot, (who, slot, value)
    function store(address, bytes32, bytes32) external;
    // Sets the nonce of an account; must be higher than the current nonce of the account
    function setNonce(address, uint64) external;
    // Sets the *next* call's msg.sender to be the input address
    function prank(address) external;
    // Sets all subsequent calls' msg.sender to be the input address until `stopPrank` is called
    function startPrank(address) external;
    // Sets the *next* call's msg.sender to be the input address, and the tx.origin to be the second input
    function prank(address, address) external;
    // Sets all subsequent calls' msg.sender to be the input address until `stopPrank` is called, and the tx.origin to be the second input
    function startPrank(address, address) external;
    // Resets subsequent calls' msg.sender to be `address(this)`
    function stopPrank() external;
    // Sets an address' balance, (who, newBalance)
    function deal(address, uint256) external;
    // Sets an address' code, (who, newCode)
    function etch(address, bytes calldata) external;
    // Expects an error on next call
    function expectRevert(bytes calldata) external;
    function expectRevert(bytes4) external;
    function expectRevert() external;
    // Prepare an expected log with (bool checkTopic1, bool checkTopic2, bool checkTopic3, bool checkData).
    // Call this function, then emit an event, then call a function. Internally after the call, we check if
    // logs were emitted in the expected order with the expected topics and data (as specified by the booleans)
    function expectEmit(bool, bool, bool, bool) external;
    function expectEmit(bool, bool, bool, bool, address) external;
    // Mocks a call to an address, returning specified data.
    // Calldata can either be strict or a partial match, e.g. if you only
    // pass a Solidity selector to the expected calldata, then the entire Solidity
    // function will be mocked.
    function mockCall(address, bytes calldata, bytes calldata) external;
    // Mocks a call to an address with a specific msg.value, returning specified data.
    // Calldata match takes precedence over msg.value in case of ambiguity.
    function mockCall(address, uint256, bytes calldata, bytes calldata) external;
    // Clears all mocked calls
    function clearMockedCalls() external;
    // Expects a call to an address with the specified calldata.
    // Calldata can either be a strict or a partial match
    function expectCall(address, bytes calldata) external;
    // Expects a call to an address with the specified msg.value and calldata
    function expectCall(address, uint256, bytes calldata) external;
    // Sets block.coinbase (who)
    function coinbase(address) external;
    // Snapshot the current state of the evm.
    // Returns the id of the snapshot that was created.
    // To revert a snapshot use `revertTo`
    function snapshot() external returns (uint256);
    // Revert the state of the evm to a previous snapshot
    // Takes the snapshot id to revert to.
    // This deletes the snapshot and all snapshots taken after the given snapshot id.
    function revertTo(uint256) external returns (bool);
    // Creates a new fork with the given endpoint and block and returns the identifier of the fork
    function createFork(string calldata, uint256) external returns (uint256);
    // Creates a new fork with the given endpoint and the _latest_ block and returns the identifier of the fork
    function createFork(string calldata) external returns (uint256);
    // Creates a new fork with the given endpoint and at the block the given transaction was mined in, and replays all transaction mined in the block before the transaction
    function createFork(string calldata, bytes32) external returns (uint256);
    // Creates _and_ also selects a new fork with the given endpoint and block and returns the identifier of the fork
    function createSelectFork(string calldata, uint256) external returns (uint256);
    // Creates _and_ also selects new fork with the given endpoint and at the block the given transaction was mined in, and replays all transaction mined in the block before the transaction
    function createSelectFork(string calldata, bytes32) external returns (uint256);
    // Creates _and_ also selects a new fork with the given endpoint and the latest block and returns the identifier of the fork
    function createSelectFork(string calldata) external returns (uint256);
    // Takes a fork identifier created by `createFork` and sets the corresponding forked state as active.
    function selectFork(uint256) external;
    /// Returns the currently active fork
    /// Reverts if no fork is currently active
    function activeFork() external view returns (uint256);
    // Updates the currently active fork to given block number
    // This is similar to `roll` but for the currently active fork
    function rollFork(uint256) external;
    // Updates the currently active fork to given transaction
    // this will `rollFork` with the number of the block the transaction was mined in and replays all transaction mined before it in the block
    function rollFork(bytes32) external;
    // Updates the given fork to given block number
    function rollFork(uint256 forkId, uint256 blockNumber) external;
    // Updates the given fork to block number of the given transaction and replays all transaction mined before it in the block
    function rollFork(uint256 forkId, bytes32 transaction) external;
    // Marks that the account(s) should use persistent storage across fork swaps in a multifork setup
    // Meaning, changes made to the state of this account will be kept when switching forks
    function makePersistent(address) external;
    function makePersistent(address, address) external;
    function makePersistent(address, address, address) external;
    function makePersistent(address[] calldata) external;
    // Revokes persistent status from the address, previously added via `makePersistent`
    function revokePersistent(address) external;
    function revokePersistent(address[] calldata) external;
    // Returns true if the account is marked as persistent
    function isPersistent(address) external view returns (bool);
    // In forking mode, explicitly grant the given address cheatcode access
    function allowCheatcodes(address) external;
    // Fetches the given transaction from the active fork and executes it on the current state
    function transact(bytes32 txHash) external;
    // Fetches the given transaction from the given fork and executes it on the current state
    function transact(uint256 forkId, bytes32 txHash) external;
}

// File: lib/forge-std/src/console.sol



// SPDX-License-Identifier: MIT
pragma solidity >=0.4.22 <0.9.0;

library console {
    address constant CONSOLE_ADDRESS = address(0x000000000000000000636F6e736F6c652e6c6f67);

    function _sendLogPayload(bytes memory payload) private view {
        uint256 payloadLength = payload.length;
        address consoleAddress = CONSOLE_ADDRESS;
        /// @solidity memory-safe-assembly
        assembly {
            let payloadStart := add(payload, 32)
            let r := staticcall(gas(), consoleAddress, payloadStart, payloadLength, 0, 0)
        }
    }

    function log() internal view {
        _sendLogPayload(abi.encodeWithSignature("log()"));
    }

    function logInt(int p0) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(int)", p0));
    }

    function logUint(uint p0) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint)", p0));
    }

    function logString(string memory p0) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string)", p0));
    }

    function logBool(bool p0) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool)", p0));
    }

    function logAddress(address p0) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address)", p0));
    }

    function logBytes(bytes memory p0) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bytes)", p0));
    }

    function logBytes1(bytes1 p0) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bytes1)", p0));
    }

    function logBytes2(bytes2 p0) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bytes2)", p0));
    }

    function logBytes3(bytes3 p0) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bytes3)", p0));
    }

    function logBytes4(bytes4 p0) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bytes4)", p0));
    }

    function logBytes5(bytes5 p0) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bytes5)", p0));
    }

    function logBytes6(bytes6 p0) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bytes6)", p0));
    }

    function logBytes7(bytes7 p0) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bytes7)", p0));
    }

    function logBytes8(bytes8 p0) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bytes8)", p0));
    }

    function logBytes9(bytes9 p0) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bytes9)", p0));
    }

    function logBytes10(bytes10 p0) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bytes10)", p0));
    }

    function logBytes11(bytes11 p0) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bytes11)", p0));
    }

    function logBytes12(bytes12 p0) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bytes12)", p0));
    }

    function logBytes13(bytes13 p0) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bytes13)", p0));
    }

    function logBytes14(bytes14 p0) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bytes14)", p0));
    }

    function logBytes15(bytes15 p0) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bytes15)", p0));
    }

    function logBytes16(bytes16 p0) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bytes16)", p0));
    }

    function logBytes17(bytes17 p0) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bytes17)", p0));
    }

    function logBytes18(bytes18 p0) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bytes18)", p0));
    }

    function logBytes19(bytes19 p0) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bytes19)", p0));
    }

    function logBytes20(bytes20 p0) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bytes20)", p0));
    }

    function logBytes21(bytes21 p0) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bytes21)", p0));
    }

    function logBytes22(bytes22 p0) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bytes22)", p0));
    }

    function logBytes23(bytes23 p0) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bytes23)", p0));
    }

    function logBytes24(bytes24 p0) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bytes24)", p0));
    }

    function logBytes25(bytes25 p0) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bytes25)", p0));
    }

    function logBytes26(bytes26 p0) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bytes26)", p0));
    }

    function logBytes27(bytes27 p0) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bytes27)", p0));
    }

    function logBytes28(bytes28 p0) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bytes28)", p0));
    }

    function logBytes29(bytes29 p0) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bytes29)", p0));
    }

    function logBytes30(bytes30 p0) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bytes30)", p0));
    }

    function logBytes31(bytes31 p0) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bytes31)", p0));
    }

    function logBytes32(bytes32 p0) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bytes32)", p0));
    }

    function log(uint p0) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint)", p0));
    }

    function log(string memory p0) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string)", p0));
    }

    function log(bool p0) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool)", p0));
    }

    function log(address p0) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address)", p0));
    }

    function log(uint p0, uint p1) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint,uint)", p0, p1));
    }

    function log(uint p0, string memory p1) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint,string)", p0, p1));
    }

    function log(uint p0, bool p1) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint,bool)", p0, p1));
    }

    function log(uint p0, address p1) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint,address)", p0, p1));
    }

    function log(string memory p0, uint p1) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,uint)", p0, p1));
    }

    function log(string memory p0, string memory p1) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,string)", p0, p1));
    }

    function log(string memory p0, bool p1) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,bool)", p0, p1));
    }

    function log(string memory p0, address p1) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,address)", p0, p1));
    }

    function log(bool p0, uint p1) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,uint)", p0, p1));
    }

    function log(bool p0, string memory p1) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,string)", p0, p1));
    }

    function log(bool p0, bool p1) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,bool)", p0, p1));
    }

    function log(bool p0, address p1) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,address)", p0, p1));
    }

    function log(address p0, uint p1) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,uint)", p0, p1));
    }

    function log(address p0, string memory p1) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,string)", p0, p1));
    }

    function log(address p0, bool p1) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,bool)", p0, p1));
    }

    function log(address p0, address p1) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,address)", p0, p1));
    }

    function log(uint p0, uint p1, uint p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint,uint,uint)", p0, p1, p2));
    }

    function log(uint p0, uint p1, string memory p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint,uint,string)", p0, p1, p2));
    }

    function log(uint p0, uint p1, bool p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint,uint,bool)", p0, p1, p2));
    }

    function log(uint p0, uint p1, address p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint,uint,address)", p0, p1, p2));
    }

    function log(uint p0, string memory p1, uint p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint,string,uint)", p0, p1, p2));
    }

    function log(uint p0, string memory p1, string memory p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint,string,string)", p0, p1, p2));
    }

    function log(uint p0, string memory p1, bool p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint,string,bool)", p0, p1, p2));
    }

    function log(uint p0, string memory p1, address p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint,string,address)", p0, p1, p2));
    }

    function log(uint p0, bool p1, uint p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint,bool,uint)", p0, p1, p2));
    }

    function log(uint p0, bool p1, string memory p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint,bool,string)", p0, p1, p2));
    }

    function log(uint p0, bool p1, bool p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint,bool,bool)", p0, p1, p2));
    }

    function log(uint p0, bool p1, address p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint,bool,address)", p0, p1, p2));
    }

    function log(uint p0, address p1, uint p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint,address,uint)", p0, p1, p2));
    }

    function log(uint p0, address p1, string memory p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint,address,string)", p0, p1, p2));
    }

    function log(uint p0, address p1, bool p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint,address,bool)", p0, p1, p2));
    }

    function log(uint p0, address p1, address p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint,address,address)", p0, p1, p2));
    }

    function log(string memory p0, uint p1, uint p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,uint,uint)", p0, p1, p2));
    }

    function log(string memory p0, uint p1, string memory p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,uint,string)", p0, p1, p2));
    }

    function log(string memory p0, uint p1, bool p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,uint,bool)", p0, p1, p2));
    }

    function log(string memory p0, uint p1, address p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,uint,address)", p0, p1, p2));
    }

    function log(string memory p0, string memory p1, uint p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,string,uint)", p0, p1, p2));
    }

    function log(string memory p0, string memory p1, string memory p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,string,string)", p0, p1, p2));
    }

    function log(string memory p0, string memory p1, bool p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,string,bool)", p0, p1, p2));
    }

    function log(string memory p0, string memory p1, address p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,string,address)", p0, p1, p2));
    }

    function log(string memory p0, bool p1, uint p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,bool,uint)", p0, p1, p2));
    }

    function log(string memory p0, bool p1, string memory p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,bool,string)", p0, p1, p2));
    }

    function log(string memory p0, bool p1, bool p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,bool,bool)", p0, p1, p2));
    }

    function log(string memory p0, bool p1, address p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,bool,address)", p0, p1, p2));
    }

    function log(string memory p0, address p1, uint p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,address,uint)", p0, p1, p2));
    }

    function log(string memory p0, address p1, string memory p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,address,string)", p0, p1, p2));
    }

    function log(string memory p0, address p1, bool p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,address,bool)", p0, p1, p2));
    }

    function log(string memory p0, address p1, address p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,address,address)", p0, p1, p2));
    }

    function log(bool p0, uint p1, uint p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,uint,uint)", p0, p1, p2));
    }

    function log(bool p0, uint p1, string memory p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,uint,string)", p0, p1, p2));
    }

    function log(bool p0, uint p1, bool p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,uint,bool)", p0, p1, p2));
    }

    function log(bool p0, uint p1, address p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,uint,address)", p0, p1, p2));
    }

    function log(bool p0, string memory p1, uint p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,string,uint)", p0, p1, p2));
    }

    function log(bool p0, string memory p1, string memory p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,string,string)", p0, p1, p2));
    }

    function log(bool p0, string memory p1, bool p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,string,bool)", p0, p1, p2));
    }

    function log(bool p0, string memory p1, address p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,string,address)", p0, p1, p2));
    }

    function log(bool p0, bool p1, uint p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,bool,uint)", p0, p1, p2));
    }

    function log(bool p0, bool p1, string memory p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,bool,string)", p0, p1, p2));
    }

    function log(bool p0, bool p1, bool p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,bool,bool)", p0, p1, p2));
    }

    function log(bool p0, bool p1, address p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,bool,address)", p0, p1, p2));
    }

    function log(bool p0, address p1, uint p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,address,uint)", p0, p1, p2));
    }

    function log(bool p0, address p1, string memory p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,address,string)", p0, p1, p2));
    }

    function log(bool p0, address p1, bool p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,address,bool)", p0, p1, p2));
    }

    function log(bool p0, address p1, address p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,address,address)", p0, p1, p2));
    }

    function log(address p0, uint p1, uint p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,uint,uint)", p0, p1, p2));
    }

    function log(address p0, uint p1, string memory p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,uint,string)", p0, p1, p2));
    }

    function log(address p0, uint p1, bool p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,uint,bool)", p0, p1, p2));
    }

    function log(address p0, uint p1, address p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,uint,address)", p0, p1, p2));
    }

    function log(address p0, string memory p1, uint p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,string,uint)", p0, p1, p2));
    }

    function log(address p0, string memory p1, string memory p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,string,string)", p0, p1, p2));
    }

    function log(address p0, string memory p1, bool p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,string,bool)", p0, p1, p2));
    }

    function log(address p0, string memory p1, address p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,string,address)", p0, p1, p2));
    }

    function log(address p0, bool p1, uint p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,bool,uint)", p0, p1, p2));
    }

    function log(address p0, bool p1, string memory p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,bool,string)", p0, p1, p2));
    }

    function log(address p0, bool p1, bool p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,bool,bool)", p0, p1, p2));
    }

    function log(address p0, bool p1, address p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,bool,address)", p0, p1, p2));
    }

    function log(address p0, address p1, uint p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,address,uint)", p0, p1, p2));
    }

    function log(address p0, address p1, string memory p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,address,string)", p0, p1, p2));
    }

    function log(address p0, address p1, bool p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,address,bool)", p0, p1, p2));
    }

    function log(address p0, address p1, address p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,address,address)", p0, p1, p2));
    }

    function log(uint p0, uint p1, uint p2, uint p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint,uint,uint,uint)", p0, p1, p2, p3));
    }

    function log(uint p0, uint p1, uint p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint,uint,uint,string)", p0, p1, p2, p3));
    }

    function log(uint p0, uint p1, uint p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint,uint,uint,bool)", p0, p1, p2, p3));
    }

    function log(uint p0, uint p1, uint p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint,uint,uint,address)", p0, p1, p2, p3));
    }

    function log(uint p0, uint p1, string memory p2, uint p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint,uint,string,uint)", p0, p1, p2, p3));
    }

    function log(uint p0, uint p1, string memory p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint,uint,string,string)", p0, p1, p2, p3));
    }

    function log(uint p0, uint p1, string memory p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint,uint,string,bool)", p0, p1, p2, p3));
    }

    function log(uint p0, uint p1, string memory p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint,uint,string,address)", p0, p1, p2, p3));
    }

    function log(uint p0, uint p1, bool p2, uint p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint,uint,bool,uint)", p0, p1, p2, p3));
    }

    function log(uint p0, uint p1, bool p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint,uint,bool,string)", p0, p1, p2, p3));
    }

    function log(uint p0, uint p1, bool p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint,uint,bool,bool)", p0, p1, p2, p3));
    }

    function log(uint p0, uint p1, bool p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint,uint,bool,address)", p0, p1, p2, p3));
    }

    function log(uint p0, uint p1, address p2, uint p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint,uint,address,uint)", p0, p1, p2, p3));
    }

    function log(uint p0, uint p1, address p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint,uint,address,string)", p0, p1, p2, p3));
    }

    function log(uint p0, uint p1, address p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint,uint,address,bool)", p0, p1, p2, p3));
    }

    function log(uint p0, uint p1, address p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint,uint,address,address)", p0, p1, p2, p3));
    }

    function log(uint p0, string memory p1, uint p2, uint p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint,string,uint,uint)", p0, p1, p2, p3));
    }

    function log(uint p0, string memory p1, uint p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint,string,uint,string)", p0, p1, p2, p3));
    }

    function log(uint p0, string memory p1, uint p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint,string,uint,bool)", p0, p1, p2, p3));
    }

    function log(uint p0, string memory p1, uint p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint,string,uint,address)", p0, p1, p2, p3));
    }

    function log(uint p0, string memory p1, string memory p2, uint p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint,string,string,uint)", p0, p1, p2, p3));
    }

    function log(uint p0, string memory p1, string memory p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint,string,string,string)", p0, p1, p2, p3));
    }

    function log(uint p0, string memory p1, string memory p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint,string,string,bool)", p0, p1, p2, p3));
    }

    function log(uint p0, string memory p1, string memory p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint,string,string,address)", p0, p1, p2, p3));
    }

    function log(uint p0, string memory p1, bool p2, uint p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint,string,bool,uint)", p0, p1, p2, p3));
    }

    function log(uint p0, string memory p1, bool p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint,string,bool,string)", p0, p1, p2, p3));
    }

    function log(uint p0, string memory p1, bool p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint,string,bool,bool)", p0, p1, p2, p3));
    }

    function log(uint p0, string memory p1, bool p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint,string,bool,address)", p0, p1, p2, p3));
    }

    function log(uint p0, string memory p1, address p2, uint p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint,string,address,uint)", p0, p1, p2, p3));
    }

    function log(uint p0, string memory p1, address p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint,string,address,string)", p0, p1, p2, p3));
    }

    function log(uint p0, string memory p1, address p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint,string,address,bool)", p0, p1, p2, p3));
    }

    function log(uint p0, string memory p1, address p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint,string,address,address)", p0, p1, p2, p3));
    }

    function log(uint p0, bool p1, uint p2, uint p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint,bool,uint,uint)", p0, p1, p2, p3));
    }

    function log(uint p0, bool p1, uint p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint,bool,uint,string)", p0, p1, p2, p3));
    }

    function log(uint p0, bool p1, uint p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint,bool,uint,bool)", p0, p1, p2, p3));
    }

    function log(uint p0, bool p1, uint p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint,bool,uint,address)", p0, p1, p2, p3));
    }

    function log(uint p0, bool p1, string memory p2, uint p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint,bool,string,uint)", p0, p1, p2, p3));
    }

    function log(uint p0, bool p1, string memory p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint,bool,string,string)", p0, p1, p2, p3));
    }

    function log(uint p0, bool p1, string memory p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint,bool,string,bool)", p0, p1, p2, p3));
    }

    function log(uint p0, bool p1, string memory p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint,bool,string,address)", p0, p1, p2, p3));
    }

    function log(uint p0, bool p1, bool p2, uint p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint,bool,bool,uint)", p0, p1, p2, p3));
    }

    function log(uint p0, bool p1, bool p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint,bool,bool,string)", p0, p1, p2, p3));
    }

    function log(uint p0, bool p1, bool p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint,bool,bool,bool)", p0, p1, p2, p3));
    }

    function log(uint p0, bool p1, bool p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint,bool,bool,address)", p0, p1, p2, p3));
    }

    function log(uint p0, bool p1, address p2, uint p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint,bool,address,uint)", p0, p1, p2, p3));
    }

    function log(uint p0, bool p1, address p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint,bool,address,string)", p0, p1, p2, p3));
    }

    function log(uint p0, bool p1, address p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint,bool,address,bool)", p0, p1, p2, p3));
    }

    function log(uint p0, bool p1, address p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint,bool,address,address)", p0, p1, p2, p3));
    }

    function log(uint p0, address p1, uint p2, uint p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint,address,uint,uint)", p0, p1, p2, p3));
    }

    function log(uint p0, address p1, uint p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint,address,uint,string)", p0, p1, p2, p3));
    }

    function log(uint p0, address p1, uint p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint,address,uint,bool)", p0, p1, p2, p3));
    }

    function log(uint p0, address p1, uint p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint,address,uint,address)", p0, p1, p2, p3));
    }

    function log(uint p0, address p1, string memory p2, uint p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint,address,string,uint)", p0, p1, p2, p3));
    }

    function log(uint p0, address p1, string memory p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint,address,string,string)", p0, p1, p2, p3));
    }

    function log(uint p0, address p1, string memory p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint,address,string,bool)", p0, p1, p2, p3));
    }

    function log(uint p0, address p1, string memory p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint,address,string,address)", p0, p1, p2, p3));
    }

    function log(uint p0, address p1, bool p2, uint p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint,address,bool,uint)", p0, p1, p2, p3));
    }

    function log(uint p0, address p1, bool p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint,address,bool,string)", p0, p1, p2, p3));
    }

    function log(uint p0, address p1, bool p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint,address,bool,bool)", p0, p1, p2, p3));
    }

    function log(uint p0, address p1, bool p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint,address,bool,address)", p0, p1, p2, p3));
    }

    function log(uint p0, address p1, address p2, uint p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint,address,address,uint)", p0, p1, p2, p3));
    }

    function log(uint p0, address p1, address p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint,address,address,string)", p0, p1, p2, p3));
    }

    function log(uint p0, address p1, address p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint,address,address,bool)", p0, p1, p2, p3));
    }

    function log(uint p0, address p1, address p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint,address,address,address)", p0, p1, p2, p3));
    }

    function log(string memory p0, uint p1, uint p2, uint p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,uint,uint,uint)", p0, p1, p2, p3));
    }

    function log(string memory p0, uint p1, uint p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,uint,uint,string)", p0, p1, p2, p3));
    }

    function log(string memory p0, uint p1, uint p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,uint,uint,bool)", p0, p1, p2, p3));
    }

    function log(string memory p0, uint p1, uint p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,uint,uint,address)", p0, p1, p2, p3));
    }

    function log(string memory p0, uint p1, string memory p2, uint p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,uint,string,uint)", p0, p1, p2, p3));
    }

    function log(string memory p0, uint p1, string memory p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,uint,string,string)", p0, p1, p2, p3));
    }

    function log(string memory p0, uint p1, string memory p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,uint,string,bool)", p0, p1, p2, p3));
    }

    function log(string memory p0, uint p1, string memory p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,uint,string,address)", p0, p1, p2, p3));
    }

    function log(string memory p0, uint p1, bool p2, uint p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,uint,bool,uint)", p0, p1, p2, p3));
    }

    function log(string memory p0, uint p1, bool p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,uint,bool,string)", p0, p1, p2, p3));
    }

    function log(string memory p0, uint p1, bool p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,uint,bool,bool)", p0, p1, p2, p3));
    }

    function log(string memory p0, uint p1, bool p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,uint,bool,address)", p0, p1, p2, p3));
    }

    function log(string memory p0, uint p1, address p2, uint p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,uint,address,uint)", p0, p1, p2, p3));
    }

    function log(string memory p0, uint p1, address p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,uint,address,string)", p0, p1, p2, p3));
    }

    function log(string memory p0, uint p1, address p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,uint,address,bool)", p0, p1, p2, p3));
    }

    function log(string memory p0, uint p1, address p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,uint,address,address)", p0, p1, p2, p3));
    }

    function log(string memory p0, string memory p1, uint p2, uint p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,string,uint,uint)", p0, p1, p2, p3));
    }

    function log(string memory p0, string memory p1, uint p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,string,uint,string)", p0, p1, p2, p3));
    }

    function log(string memory p0, string memory p1, uint p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,string,uint,bool)", p0, p1, p2, p3));
    }

    function log(string memory p0, string memory p1, uint p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,string,uint,address)", p0, p1, p2, p3));
    }

    function log(string memory p0, string memory p1, string memory p2, uint p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,string,string,uint)", p0, p1, p2, p3));
    }

    function log(string memory p0, string memory p1, string memory p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,string,string,string)", p0, p1, p2, p3));
    }

    function log(string memory p0, string memory p1, string memory p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,string,string,bool)", p0, p1, p2, p3));
    }

    function log(string memory p0, string memory p1, string memory p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,string,string,address)", p0, p1, p2, p3));
    }

    function log(string memory p0, string memory p1, bool p2, uint p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,string,bool,uint)", p0, p1, p2, p3));
    }

    function log(string memory p0, string memory p1, bool p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,string,bool,string)", p0, p1, p2, p3));
    }

    function log(string memory p0, string memory p1, bool p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,string,bool,bool)", p0, p1, p2, p3));
    }

    function log(string memory p0, string memory p1, bool p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,string,bool,address)", p0, p1, p2, p3));
    }

    function log(string memory p0, string memory p1, address p2, uint p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,string,address,uint)", p0, p1, p2, p3));
    }

    function log(string memory p0, string memory p1, address p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,string,address,string)", p0, p1, p2, p3));
    }

    function log(string memory p0, string memory p1, address p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,string,address,bool)", p0, p1, p2, p3));
    }

    function log(string memory p0, string memory p1, address p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,string,address,address)", p0, p1, p2, p3));
    }

    function log(string memory p0, bool p1, uint p2, uint p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,bool,uint,uint)", p0, p1, p2, p3));
    }

    function log(string memory p0, bool p1, uint p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,bool,uint,string)", p0, p1, p2, p3));
    }

    function log(string memory p0, bool p1, uint p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,bool,uint,bool)", p0, p1, p2, p3));
    }

    function log(string memory p0, bool p1, uint p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,bool,uint,address)", p0, p1, p2, p3));
    }

    function log(string memory p0, bool p1, string memory p2, uint p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,bool,string,uint)", p0, p1, p2, p3));
    }

    function log(string memory p0, bool p1, string memory p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,bool,string,string)", p0, p1, p2, p3));
    }

    function log(string memory p0, bool p1, string memory p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,bool,string,bool)", p0, p1, p2, p3));
    }

    function log(string memory p0, bool p1, string memory p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,bool,string,address)", p0, p1, p2, p3));
    }

    function log(string memory p0, bool p1, bool p2, uint p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,bool,bool,uint)", p0, p1, p2, p3));
    }

    function log(string memory p0, bool p1, bool p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,bool,bool,string)", p0, p1, p2, p3));
    }

    function log(string memory p0, bool p1, bool p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,bool,bool,bool)", p0, p1, p2, p3));
    }

    function log(string memory p0, bool p1, bool p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,bool,bool,address)", p0, p1, p2, p3));
    }

    function log(string memory p0, bool p1, address p2, uint p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,bool,address,uint)", p0, p1, p2, p3));
    }

    function log(string memory p0, bool p1, address p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,bool,address,string)", p0, p1, p2, p3));
    }

    function log(string memory p0, bool p1, address p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,bool,address,bool)", p0, p1, p2, p3));
    }

    function log(string memory p0, bool p1, address p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,bool,address,address)", p0, p1, p2, p3));
    }

    function log(string memory p0, address p1, uint p2, uint p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,address,uint,uint)", p0, p1, p2, p3));
    }

    function log(string memory p0, address p1, uint p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,address,uint,string)", p0, p1, p2, p3));
    }

    function log(string memory p0, address p1, uint p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,address,uint,bool)", p0, p1, p2, p3));
    }

    function log(string memory p0, address p1, uint p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,address,uint,address)", p0, p1, p2, p3));
    }

    function log(string memory p0, address p1, string memory p2, uint p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,address,string,uint)", p0, p1, p2, p3));
    }

    function log(string memory p0, address p1, string memory p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,address,string,string)", p0, p1, p2, p3));
    }

    function log(string memory p0, address p1, string memory p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,address,string,bool)", p0, p1, p2, p3));
    }

    function log(string memory p0, address p1, string memory p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,address,string,address)", p0, p1, p2, p3));
    }

    function log(string memory p0, address p1, bool p2, uint p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,address,bool,uint)", p0, p1, p2, p3));
    }

    function log(string memory p0, address p1, bool p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,address,bool,string)", p0, p1, p2, p3));
    }

    function log(string memory p0, address p1, bool p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,address,bool,bool)", p0, p1, p2, p3));
    }

    function log(string memory p0, address p1, bool p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,address,bool,address)", p0, p1, p2, p3));
    }

    function log(string memory p0, address p1, address p2, uint p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,address,address,uint)", p0, p1, p2, p3));
    }

    function log(string memory p0, address p1, address p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,address,address,string)", p0, p1, p2, p3));
    }

    function log(string memory p0, address p1, address p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,address,address,bool)", p0, p1, p2, p3));
    }

    function log(string memory p0, address p1, address p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,address,address,address)", p0, p1, p2, p3));
    }

    function log(bool p0, uint p1, uint p2, uint p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,uint,uint,uint)", p0, p1, p2, p3));
    }

    function log(bool p0, uint p1, uint p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,uint,uint,string)", p0, p1, p2, p3));
    }

    function log(bool p0, uint p1, uint p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,uint,uint,bool)", p0, p1, p2, p3));
    }

    function log(bool p0, uint p1, uint p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,uint,uint,address)", p0, p1, p2, p3));
    }

    function log(bool p0, uint p1, string memory p2, uint p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,uint,string,uint)", p0, p1, p2, p3));
    }

    function log(bool p0, uint p1, string memory p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,uint,string,string)", p0, p1, p2, p3));
    }

    function log(bool p0, uint p1, string memory p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,uint,string,bool)", p0, p1, p2, p3));
    }

    function log(bool p0, uint p1, string memory p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,uint,string,address)", p0, p1, p2, p3));
    }

    function log(bool p0, uint p1, bool p2, uint p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,uint,bool,uint)", p0, p1, p2, p3));
    }

    function log(bool p0, uint p1, bool p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,uint,bool,string)", p0, p1, p2, p3));
    }

    function log(bool p0, uint p1, bool p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,uint,bool,bool)", p0, p1, p2, p3));
    }

    function log(bool p0, uint p1, bool p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,uint,bool,address)", p0, p1, p2, p3));
    }

    function log(bool p0, uint p1, address p2, uint p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,uint,address,uint)", p0, p1, p2, p3));
    }

    function log(bool p0, uint p1, address p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,uint,address,string)", p0, p1, p2, p3));
    }

    function log(bool p0, uint p1, address p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,uint,address,bool)", p0, p1, p2, p3));
    }

    function log(bool p0, uint p1, address p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,uint,address,address)", p0, p1, p2, p3));
    }

    function log(bool p0, string memory p1, uint p2, uint p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,string,uint,uint)", p0, p1, p2, p3));
    }

    function log(bool p0, string memory p1, uint p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,string,uint,string)", p0, p1, p2, p3));
    }

    function log(bool p0, string memory p1, uint p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,string,uint,bool)", p0, p1, p2, p3));
    }

    function log(bool p0, string memory p1, uint p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,string,uint,address)", p0, p1, p2, p3));
    }

    function log(bool p0, string memory p1, string memory p2, uint p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,string,string,uint)", p0, p1, p2, p3));
    }

    function log(bool p0, string memory p1, string memory p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,string,string,string)", p0, p1, p2, p3));
    }

    function log(bool p0, string memory p1, string memory p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,string,string,bool)", p0, p1, p2, p3));
    }

    function log(bool p0, string memory p1, string memory p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,string,string,address)", p0, p1, p2, p3));
    }

    function log(bool p0, string memory p1, bool p2, uint p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,string,bool,uint)", p0, p1, p2, p3));
    }

    function log(bool p0, string memory p1, bool p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,string,bool,string)", p0, p1, p2, p3));
    }

    function log(bool p0, string memory p1, bool p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,string,bool,bool)", p0, p1, p2, p3));
    }

    function log(bool p0, string memory p1, bool p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,string,bool,address)", p0, p1, p2, p3));
    }

    function log(bool p0, string memory p1, address p2, uint p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,string,address,uint)", p0, p1, p2, p3));
    }

    function log(bool p0, string memory p1, address p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,string,address,string)", p0, p1, p2, p3));
    }

    function log(bool p0, string memory p1, address p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,string,address,bool)", p0, p1, p2, p3));
    }

    function log(bool p0, string memory p1, address p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,string,address,address)", p0, p1, p2, p3));
    }

    function log(bool p0, bool p1, uint p2, uint p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,bool,uint,uint)", p0, p1, p2, p3));
    }

    function log(bool p0, bool p1, uint p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,bool,uint,string)", p0, p1, p2, p3));
    }

    function log(bool p0, bool p1, uint p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,bool,uint,bool)", p0, p1, p2, p3));
    }

    function log(bool p0, bool p1, uint p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,bool,uint,address)", p0, p1, p2, p3));
    }

    function log(bool p0, bool p1, string memory p2, uint p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,bool,string,uint)", p0, p1, p2, p3));
    }

    function log(bool p0, bool p1, string memory p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,bool,string,string)", p0, p1, p2, p3));
    }

    function log(bool p0, bool p1, string memory p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,bool,string,bool)", p0, p1, p2, p3));
    }

    function log(bool p0, bool p1, string memory p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,bool,string,address)", p0, p1, p2, p3));
    }

    function log(bool p0, bool p1, bool p2, uint p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,bool,bool,uint)", p0, p1, p2, p3));
    }

    function log(bool p0, bool p1, bool p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,bool,bool,string)", p0, p1, p2, p3));
    }

    function log(bool p0, bool p1, bool p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,bool,bool,bool)", p0, p1, p2, p3));
    }

    function log(bool p0, bool p1, bool p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,bool,bool,address)", p0, p1, p2, p3));
    }

    function log(bool p0, bool p1, address p2, uint p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,bool,address,uint)", p0, p1, p2, p3));
    }

    function log(bool p0, bool p1, address p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,bool,address,string)", p0, p1, p2, p3));
    }

    function log(bool p0, bool p1, address p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,bool,address,bool)", p0, p1, p2, p3));
    }

    function log(bool p0, bool p1, address p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,bool,address,address)", p0, p1, p2, p3));
    }

    function log(bool p0, address p1, uint p2, uint p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,address,uint,uint)", p0, p1, p2, p3));
    }

    function log(bool p0, address p1, uint p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,address,uint,string)", p0, p1, p2, p3));
    }

    function log(bool p0, address p1, uint p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,address,uint,bool)", p0, p1, p2, p3));
    }

    function log(bool p0, address p1, uint p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,address,uint,address)", p0, p1, p2, p3));
    }

    function log(bool p0, address p1, string memory p2, uint p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,address,string,uint)", p0, p1, p2, p3));
    }

    function log(bool p0, address p1, string memory p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,address,string,string)", p0, p1, p2, p3));
    }

    function log(bool p0, address p1, string memory p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,address,string,bool)", p0, p1, p2, p3));
    }

    function log(bool p0, address p1, string memory p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,address,string,address)", p0, p1, p2, p3));
    }

    function log(bool p0, address p1, bool p2, uint p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,address,bool,uint)", p0, p1, p2, p3));
    }

    function log(bool p0, address p1, bool p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,address,bool,string)", p0, p1, p2, p3));
    }

    function log(bool p0, address p1, bool p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,address,bool,bool)", p0, p1, p2, p3));
    }

    function log(bool p0, address p1, bool p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,address,bool,address)", p0, p1, p2, p3));
    }

    function log(bool p0, address p1, address p2, uint p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,address,address,uint)", p0, p1, p2, p3));
    }

    function log(bool p0, address p1, address p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,address,address,string)", p0, p1, p2, p3));
    }

    function log(bool p0, address p1, address p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,address,address,bool)", p0, p1, p2, p3));
    }

    function log(bool p0, address p1, address p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,address,address,address)", p0, p1, p2, p3));
    }

    function log(address p0, uint p1, uint p2, uint p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,uint,uint,uint)", p0, p1, p2, p3));
    }

    function log(address p0, uint p1, uint p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,uint,uint,string)", p0, p1, p2, p3));
    }

    function log(address p0, uint p1, uint p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,uint,uint,bool)", p0, p1, p2, p3));
    }

    function log(address p0, uint p1, uint p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,uint,uint,address)", p0, p1, p2, p3));
    }

    function log(address p0, uint p1, string memory p2, uint p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,uint,string,uint)", p0, p1, p2, p3));
    }

    function log(address p0, uint p1, string memory p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,uint,string,string)", p0, p1, p2, p3));
    }

    function log(address p0, uint p1, string memory p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,uint,string,bool)", p0, p1, p2, p3));
    }

    function log(address p0, uint p1, string memory p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,uint,string,address)", p0, p1, p2, p3));
    }

    function log(address p0, uint p1, bool p2, uint p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,uint,bool,uint)", p0, p1, p2, p3));
    }

    function log(address p0, uint p1, bool p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,uint,bool,string)", p0, p1, p2, p3));
    }

    function log(address p0, uint p1, bool p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,uint,bool,bool)", p0, p1, p2, p3));
    }

    function log(address p0, uint p1, bool p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,uint,bool,address)", p0, p1, p2, p3));
    }

    function log(address p0, uint p1, address p2, uint p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,uint,address,uint)", p0, p1, p2, p3));
    }

    function log(address p0, uint p1, address p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,uint,address,string)", p0, p1, p2, p3));
    }

    function log(address p0, uint p1, address p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,uint,address,bool)", p0, p1, p2, p3));
    }

    function log(address p0, uint p1, address p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,uint,address,address)", p0, p1, p2, p3));
    }

    function log(address p0, string memory p1, uint p2, uint p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,string,uint,uint)", p0, p1, p2, p3));
    }

    function log(address p0, string memory p1, uint p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,string,uint,string)", p0, p1, p2, p3));
    }

    function log(address p0, string memory p1, uint p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,string,uint,bool)", p0, p1, p2, p3));
    }

    function log(address p0, string memory p1, uint p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,string,uint,address)", p0, p1, p2, p3));
    }

    function log(address p0, string memory p1, string memory p2, uint p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,string,string,uint)", p0, p1, p2, p3));
    }

    function log(address p0, string memory p1, string memory p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,string,string,string)", p0, p1, p2, p3));
    }

    function log(address p0, string memory p1, string memory p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,string,string,bool)", p0, p1, p2, p3));
    }

    function log(address p0, string memory p1, string memory p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,string,string,address)", p0, p1, p2, p3));
    }

    function log(address p0, string memory p1, bool p2, uint p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,string,bool,uint)", p0, p1, p2, p3));
    }

    function log(address p0, string memory p1, bool p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,string,bool,string)", p0, p1, p2, p3));
    }

    function log(address p0, string memory p1, bool p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,string,bool,bool)", p0, p1, p2, p3));
    }

    function log(address p0, string memory p1, bool p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,string,bool,address)", p0, p1, p2, p3));
    }

    function log(address p0, string memory p1, address p2, uint p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,string,address,uint)", p0, p1, p2, p3));
    }

    function log(address p0, string memory p1, address p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,string,address,string)", p0, p1, p2, p3));
    }

    function log(address p0, string memory p1, address p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,string,address,bool)", p0, p1, p2, p3));
    }

    function log(address p0, string memory p1, address p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,string,address,address)", p0, p1, p2, p3));
    }

    function log(address p0, bool p1, uint p2, uint p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,bool,uint,uint)", p0, p1, p2, p3));
    }

    function log(address p0, bool p1, uint p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,bool,uint,string)", p0, p1, p2, p3));
    }

    function log(address p0, bool p1, uint p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,bool,uint,bool)", p0, p1, p2, p3));
    }

    function log(address p0, bool p1, uint p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,bool,uint,address)", p0, p1, p2, p3));
    }

    function log(address p0, bool p1, string memory p2, uint p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,bool,string,uint)", p0, p1, p2, p3));
    }

    function log(address p0, bool p1, string memory p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,bool,string,string)", p0, p1, p2, p3));
    }

    function log(address p0, bool p1, string memory p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,bool,string,bool)", p0, p1, p2, p3));
    }

    function log(address p0, bool p1, string memory p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,bool,string,address)", p0, p1, p2, p3));
    }

    function log(address p0, bool p1, bool p2, uint p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,bool,bool,uint)", p0, p1, p2, p3));
    }

    function log(address p0, bool p1, bool p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,bool,bool,string)", p0, p1, p2, p3));
    }

    function log(address p0, bool p1, bool p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,bool,bool,bool)", p0, p1, p2, p3));
    }

    function log(address p0, bool p1, bool p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,bool,bool,address)", p0, p1, p2, p3));
    }

    function log(address p0, bool p1, address p2, uint p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,bool,address,uint)", p0, p1, p2, p3));
    }

    function log(address p0, bool p1, address p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,bool,address,string)", p0, p1, p2, p3));
    }

    function log(address p0, bool p1, address p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,bool,address,bool)", p0, p1, p2, p3));
    }

    function log(address p0, bool p1, address p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,bool,address,address)", p0, p1, p2, p3));
    }

    function log(address p0, address p1, uint p2, uint p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,address,uint,uint)", p0, p1, p2, p3));
    }

    function log(address p0, address p1, uint p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,address,uint,string)", p0, p1, p2, p3));
    }

    function log(address p0, address p1, uint p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,address,uint,bool)", p0, p1, p2, p3));
    }

    function log(address p0, address p1, uint p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,address,uint,address)", p0, p1, p2, p3));
    }

    function log(address p0, address p1, string memory p2, uint p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,address,string,uint)", p0, p1, p2, p3));
    }

    function log(address p0, address p1, string memory p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,address,string,string)", p0, p1, p2, p3));
    }

    function log(address p0, address p1, string memory p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,address,string,bool)", p0, p1, p2, p3));
    }

    function log(address p0, address p1, string memory p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,address,string,address)", p0, p1, p2, p3));
    }

    function log(address p0, address p1, bool p2, uint p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,address,bool,uint)", p0, p1, p2, p3));
    }

    function log(address p0, address p1, bool p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,address,bool,string)", p0, p1, p2, p3));
    }

    function log(address p0, address p1, bool p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,address,bool,bool)", p0, p1, p2, p3));
    }

    function log(address p0, address p1, bool p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,address,bool,address)", p0, p1, p2, p3));
    }

    function log(address p0, address p1, address p2, uint p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,address,address,uint)", p0, p1, p2, p3));
    }

    function log(address p0, address p1, address p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,address,address,string)", p0, p1, p2, p3));
    }

    function log(address p0, address p1, address p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,address,address,bool)", p0, p1, p2, p3));
    }

    function log(address p0, address p1, address p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,address,address,address)", p0, p1, p2, p3));
    }

}
// File: lib/forge-std/src/console2.sol



// SPDX-License-Identifier: MIT
pragma solidity >=0.4.22 <0.9.0;

/// @dev The original console.sol uses `int` and `uint` for computing function selectors, but it should
/// use `int256` and `uint256`. This modified version fixes that. This version is recommended
/// over `console.sol` if you don't need compatibility with Hardhat as the logs will show up in
/// forge stack traces. If you do need compatibility with Hardhat, you must use `console.sol`.
/// Reference: https://github.com/NomicFoundation/hardhat/issues/2178
library console2 {
    address constant CONSOLE_ADDRESS = address(0x000000000000000000636F6e736F6c652e6c6f67);

    function _sendLogPayload(bytes memory payload) private view {
        uint256 payloadLength = payload.length;
        address consoleAddress = CONSOLE_ADDRESS;
        /// @solidity memory-safe-assembly
        assembly {
            let payloadStart := add(payload, 32)
            let r := staticcall(gas(), consoleAddress, payloadStart, payloadLength, 0, 0)
        }
    }

    function log() internal view {
        _sendLogPayload(abi.encodeWithSignature("log()"));
    }

    function logInt(int256 p0) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(int256)", p0));
    }

    function logUint(uint256 p0) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint256)", p0));
    }

    function logString(string memory p0) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string)", p0));
    }

    function logBool(bool p0) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool)", p0));
    }

    function logAddress(address p0) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address)", p0));
    }

    function logBytes(bytes memory p0) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bytes)", p0));
    }

    function logBytes1(bytes1 p0) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bytes1)", p0));
    }

    function logBytes2(bytes2 p0) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bytes2)", p0));
    }

    function logBytes3(bytes3 p0) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bytes3)", p0));
    }

    function logBytes4(bytes4 p0) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bytes4)", p0));
    }

    function logBytes5(bytes5 p0) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bytes5)", p0));
    }

    function logBytes6(bytes6 p0) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bytes6)", p0));
    }

    function logBytes7(bytes7 p0) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bytes7)", p0));
    }

    function logBytes8(bytes8 p0) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bytes8)", p0));
    }

    function logBytes9(bytes9 p0) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bytes9)", p0));
    }

    function logBytes10(bytes10 p0) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bytes10)", p0));
    }

    function logBytes11(bytes11 p0) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bytes11)", p0));
    }

    function logBytes12(bytes12 p0) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bytes12)", p0));
    }

    function logBytes13(bytes13 p0) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bytes13)", p0));
    }

    function logBytes14(bytes14 p0) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bytes14)", p0));
    }

    function logBytes15(bytes15 p0) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bytes15)", p0));
    }

    function logBytes16(bytes16 p0) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bytes16)", p0));
    }

    function logBytes17(bytes17 p0) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bytes17)", p0));
    }

    function logBytes18(bytes18 p0) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bytes18)", p0));
    }

    function logBytes19(bytes19 p0) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bytes19)", p0));
    }

    function logBytes20(bytes20 p0) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bytes20)", p0));
    }

    function logBytes21(bytes21 p0) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bytes21)", p0));
    }

    function logBytes22(bytes22 p0) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bytes22)", p0));
    }

    function logBytes23(bytes23 p0) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bytes23)", p0));
    }

    function logBytes24(bytes24 p0) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bytes24)", p0));
    }

    function logBytes25(bytes25 p0) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bytes25)", p0));
    }

    function logBytes26(bytes26 p0) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bytes26)", p0));
    }

    function logBytes27(bytes27 p0) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bytes27)", p0));
    }

    function logBytes28(bytes28 p0) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bytes28)", p0));
    }

    function logBytes29(bytes29 p0) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bytes29)", p0));
    }

    function logBytes30(bytes30 p0) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bytes30)", p0));
    }

    function logBytes31(bytes31 p0) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bytes31)", p0));
    }

    function logBytes32(bytes32 p0) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bytes32)", p0));
    }

    function log(uint256 p0) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint256)", p0));
    }

    function log(string memory p0) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string)", p0));
    }

    function log(bool p0) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool)", p0));
    }

    function log(address p0) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address)", p0));
    }

    function log(uint256 p0, uint256 p1) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint256,uint256)", p0, p1));
    }

    function log(uint256 p0, string memory p1) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint256,string)", p0, p1));
    }

    function log(uint256 p0, bool p1) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint256,bool)", p0, p1));
    }

    function log(uint256 p0, address p1) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint256,address)", p0, p1));
    }

    function log(string memory p0, uint256 p1) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,uint256)", p0, p1));
    }

    function log(string memory p0, string memory p1) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,string)", p0, p1));
    }

    function log(string memory p0, bool p1) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,bool)", p0, p1));
    }

    function log(string memory p0, address p1) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,address)", p0, p1));
    }

    function log(bool p0, uint256 p1) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,uint256)", p0, p1));
    }

    function log(bool p0, string memory p1) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,string)", p0, p1));
    }

    function log(bool p0, bool p1) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,bool)", p0, p1));
    }

    function log(bool p0, address p1) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,address)", p0, p1));
    }

    function log(address p0, uint256 p1) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,uint256)", p0, p1));
    }

    function log(address p0, string memory p1) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,string)", p0, p1));
    }

    function log(address p0, bool p1) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,bool)", p0, p1));
    }

    function log(address p0, address p1) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,address)", p0, p1));
    }

    function log(uint256 p0, uint256 p1, uint256 p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint256,uint256,uint256)", p0, p1, p2));
    }

    function log(uint256 p0, uint256 p1, string memory p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint256,uint256,string)", p0, p1, p2));
    }

    function log(uint256 p0, uint256 p1, bool p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint256,uint256,bool)", p0, p1, p2));
    }

    function log(uint256 p0, uint256 p1, address p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint256,uint256,address)", p0, p1, p2));
    }

    function log(uint256 p0, string memory p1, uint256 p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint256,string,uint256)", p0, p1, p2));
    }

    function log(uint256 p0, string memory p1, string memory p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint256,string,string)", p0, p1, p2));
    }

    function log(uint256 p0, string memory p1, bool p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint256,string,bool)", p0, p1, p2));
    }

    function log(uint256 p0, string memory p1, address p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint256,string,address)", p0, p1, p2));
    }

    function log(uint256 p0, bool p1, uint256 p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint256,bool,uint256)", p0, p1, p2));
    }

    function log(uint256 p0, bool p1, string memory p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint256,bool,string)", p0, p1, p2));
    }

    function log(uint256 p0, bool p1, bool p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint256,bool,bool)", p0, p1, p2));
    }

    function log(uint256 p0, bool p1, address p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint256,bool,address)", p0, p1, p2));
    }

    function log(uint256 p0, address p1, uint256 p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint256,address,uint256)", p0, p1, p2));
    }

    function log(uint256 p0, address p1, string memory p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint256,address,string)", p0, p1, p2));
    }

    function log(uint256 p0, address p1, bool p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint256,address,bool)", p0, p1, p2));
    }

    function log(uint256 p0, address p1, address p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint256,address,address)", p0, p1, p2));
    }

    function log(string memory p0, uint256 p1, uint256 p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,uint256,uint256)", p0, p1, p2));
    }

    function log(string memory p0, uint256 p1, string memory p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,uint256,string)", p0, p1, p2));
    }

    function log(string memory p0, uint256 p1, bool p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,uint256,bool)", p0, p1, p2));
    }

    function log(string memory p0, uint256 p1, address p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,uint256,address)", p0, p1, p2));
    }

    function log(string memory p0, string memory p1, uint256 p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,string,uint256)", p0, p1, p2));
    }

    function log(string memory p0, string memory p1, string memory p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,string,string)", p0, p1, p2));
    }

    function log(string memory p0, string memory p1, bool p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,string,bool)", p0, p1, p2));
    }

    function log(string memory p0, string memory p1, address p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,string,address)", p0, p1, p2));
    }

    function log(string memory p0, bool p1, uint256 p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,bool,uint256)", p0, p1, p2));
    }

    function log(string memory p0, bool p1, string memory p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,bool,string)", p0, p1, p2));
    }

    function log(string memory p0, bool p1, bool p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,bool,bool)", p0, p1, p2));
    }

    function log(string memory p0, bool p1, address p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,bool,address)", p0, p1, p2));
    }

    function log(string memory p0, address p1, uint256 p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,address,uint256)", p0, p1, p2));
    }

    function log(string memory p0, address p1, string memory p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,address,string)", p0, p1, p2));
    }

    function log(string memory p0, address p1, bool p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,address,bool)", p0, p1, p2));
    }

    function log(string memory p0, address p1, address p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,address,address)", p0, p1, p2));
    }

    function log(bool p0, uint256 p1, uint256 p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,uint256,uint256)", p0, p1, p2));
    }

    function log(bool p0, uint256 p1, string memory p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,uint256,string)", p0, p1, p2));
    }

    function log(bool p0, uint256 p1, bool p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,uint256,bool)", p0, p1, p2));
    }

    function log(bool p0, uint256 p1, address p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,uint256,address)", p0, p1, p2));
    }

    function log(bool p0, string memory p1, uint256 p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,string,uint256)", p0, p1, p2));
    }

    function log(bool p0, string memory p1, string memory p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,string,string)", p0, p1, p2));
    }

    function log(bool p0, string memory p1, bool p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,string,bool)", p0, p1, p2));
    }

    function log(bool p0, string memory p1, address p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,string,address)", p0, p1, p2));
    }

    function log(bool p0, bool p1, uint256 p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,bool,uint256)", p0, p1, p2));
    }

    function log(bool p0, bool p1, string memory p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,bool,string)", p0, p1, p2));
    }

    function log(bool p0, bool p1, bool p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,bool,bool)", p0, p1, p2));
    }

    function log(bool p0, bool p1, address p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,bool,address)", p0, p1, p2));
    }

    function log(bool p0, address p1, uint256 p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,address,uint256)", p0, p1, p2));
    }

    function log(bool p0, address p1, string memory p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,address,string)", p0, p1, p2));
    }

    function log(bool p0, address p1, bool p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,address,bool)", p0, p1, p2));
    }

    function log(bool p0, address p1, address p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,address,address)", p0, p1, p2));
    }

    function log(address p0, uint256 p1, uint256 p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,uint256,uint256)", p0, p1, p2));
    }

    function log(address p0, uint256 p1, string memory p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,uint256,string)", p0, p1, p2));
    }

    function log(address p0, uint256 p1, bool p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,uint256,bool)", p0, p1, p2));
    }

    function log(address p0, uint256 p1, address p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,uint256,address)", p0, p1, p2));
    }

    function log(address p0, string memory p1, uint256 p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,string,uint256)", p0, p1, p2));
    }

    function log(address p0, string memory p1, string memory p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,string,string)", p0, p1, p2));
    }

    function log(address p0, string memory p1, bool p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,string,bool)", p0, p1, p2));
    }

    function log(address p0, string memory p1, address p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,string,address)", p0, p1, p2));
    }

    function log(address p0, bool p1, uint256 p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,bool,uint256)", p0, p1, p2));
    }

    function log(address p0, bool p1, string memory p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,bool,string)", p0, p1, p2));
    }

    function log(address p0, bool p1, bool p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,bool,bool)", p0, p1, p2));
    }

    function log(address p0, bool p1, address p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,bool,address)", p0, p1, p2));
    }

    function log(address p0, address p1, uint256 p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,address,uint256)", p0, p1, p2));
    }

    function log(address p0, address p1, string memory p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,address,string)", p0, p1, p2));
    }

    function log(address p0, address p1, bool p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,address,bool)", p0, p1, p2));
    }

    function log(address p0, address p1, address p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,address,address)", p0, p1, p2));
    }

    function log(uint256 p0, uint256 p1, uint256 p2, uint256 p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint256,uint256,uint256,uint256)", p0, p1, p2, p3));
    }

    function log(uint256 p0, uint256 p1, uint256 p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint256,uint256,uint256,string)", p0, p1, p2, p3));
    }

    function log(uint256 p0, uint256 p1, uint256 p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint256,uint256,uint256,bool)", p0, p1, p2, p3));
    }

    function log(uint256 p0, uint256 p1, uint256 p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint256,uint256,uint256,address)", p0, p1, p2, p3));
    }

    function log(uint256 p0, uint256 p1, string memory p2, uint256 p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint256,uint256,string,uint256)", p0, p1, p2, p3));
    }

    function log(uint256 p0, uint256 p1, string memory p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint256,uint256,string,string)", p0, p1, p2, p3));
    }

    function log(uint256 p0, uint256 p1, string memory p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint256,uint256,string,bool)", p0, p1, p2, p3));
    }

    function log(uint256 p0, uint256 p1, string memory p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint256,uint256,string,address)", p0, p1, p2, p3));
    }

    function log(uint256 p0, uint256 p1, bool p2, uint256 p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint256,uint256,bool,uint256)", p0, p1, p2, p3));
    }

    function log(uint256 p0, uint256 p1, bool p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint256,uint256,bool,string)", p0, p1, p2, p3));
    }

    function log(uint256 p0, uint256 p1, bool p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint256,uint256,bool,bool)", p0, p1, p2, p3));
    }

    function log(uint256 p0, uint256 p1, bool p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint256,uint256,bool,address)", p0, p1, p2, p3));
    }

    function log(uint256 p0, uint256 p1, address p2, uint256 p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint256,uint256,address,uint256)", p0, p1, p2, p3));
    }

    function log(uint256 p0, uint256 p1, address p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint256,uint256,address,string)", p0, p1, p2, p3));
    }

    function log(uint256 p0, uint256 p1, address p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint256,uint256,address,bool)", p0, p1, p2, p3));
    }

    function log(uint256 p0, uint256 p1, address p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint256,uint256,address,address)", p0, p1, p2, p3));
    }

    function log(uint256 p0, string memory p1, uint256 p2, uint256 p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint256,string,uint256,uint256)", p0, p1, p2, p3));
    }

    function log(uint256 p0, string memory p1, uint256 p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint256,string,uint256,string)", p0, p1, p2, p3));
    }

    function log(uint256 p0, string memory p1, uint256 p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint256,string,uint256,bool)", p0, p1, p2, p3));
    }

    function log(uint256 p0, string memory p1, uint256 p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint256,string,uint256,address)", p0, p1, p2, p3));
    }

    function log(uint256 p0, string memory p1, string memory p2, uint256 p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint256,string,string,uint256)", p0, p1, p2, p3));
    }

    function log(uint256 p0, string memory p1, string memory p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint256,string,string,string)", p0, p1, p2, p3));
    }

    function log(uint256 p0, string memory p1, string memory p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint256,string,string,bool)", p0, p1, p2, p3));
    }

    function log(uint256 p0, string memory p1, string memory p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint256,string,string,address)", p0, p1, p2, p3));
    }

    function log(uint256 p0, string memory p1, bool p2, uint256 p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint256,string,bool,uint256)", p0, p1, p2, p3));
    }

    function log(uint256 p0, string memory p1, bool p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint256,string,bool,string)", p0, p1, p2, p3));
    }

    function log(uint256 p0, string memory p1, bool p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint256,string,bool,bool)", p0, p1, p2, p3));
    }

    function log(uint256 p0, string memory p1, bool p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint256,string,bool,address)", p0, p1, p2, p3));
    }

    function log(uint256 p0, string memory p1, address p2, uint256 p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint256,string,address,uint256)", p0, p1, p2, p3));
    }

    function log(uint256 p0, string memory p1, address p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint256,string,address,string)", p0, p1, p2, p3));
    }

    function log(uint256 p0, string memory p1, address p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint256,string,address,bool)", p0, p1, p2, p3));
    }

    function log(uint256 p0, string memory p1, address p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint256,string,address,address)", p0, p1, p2, p3));
    }

    function log(uint256 p0, bool p1, uint256 p2, uint256 p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint256,bool,uint256,uint256)", p0, p1, p2, p3));
    }

    function log(uint256 p0, bool p1, uint256 p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint256,bool,uint256,string)", p0, p1, p2, p3));
    }

    function log(uint256 p0, bool p1, uint256 p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint256,bool,uint256,bool)", p0, p1, p2, p3));
    }

    function log(uint256 p0, bool p1, uint256 p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint256,bool,uint256,address)", p0, p1, p2, p3));
    }

    function log(uint256 p0, bool p1, string memory p2, uint256 p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint256,bool,string,uint256)", p0, p1, p2, p3));
    }

    function log(uint256 p0, bool p1, string memory p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint256,bool,string,string)", p0, p1, p2, p3));
    }

    function log(uint256 p0, bool p1, string memory p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint256,bool,string,bool)", p0, p1, p2, p3));
    }

    function log(uint256 p0, bool p1, string memory p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint256,bool,string,address)", p0, p1, p2, p3));
    }

    function log(uint256 p0, bool p1, bool p2, uint256 p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint256,bool,bool,uint256)", p0, p1, p2, p3));
    }

    function log(uint256 p0, bool p1, bool p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint256,bool,bool,string)", p0, p1, p2, p3));
    }

    function log(uint256 p0, bool p1, bool p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint256,bool,bool,bool)", p0, p1, p2, p3));
    }

    function log(uint256 p0, bool p1, bool p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint256,bool,bool,address)", p0, p1, p2, p3));
    }

    function log(uint256 p0, bool p1, address p2, uint256 p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint256,bool,address,uint256)", p0, p1, p2, p3));
    }

    function log(uint256 p0, bool p1, address p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint256,bool,address,string)", p0, p1, p2, p3));
    }

    function log(uint256 p0, bool p1, address p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint256,bool,address,bool)", p0, p1, p2, p3));
    }

    function log(uint256 p0, bool p1, address p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint256,bool,address,address)", p0, p1, p2, p3));
    }

    function log(uint256 p0, address p1, uint256 p2, uint256 p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint256,address,uint256,uint256)", p0, p1, p2, p3));
    }

    function log(uint256 p0, address p1, uint256 p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint256,address,uint256,string)", p0, p1, p2, p3));
    }

    function log(uint256 p0, address p1, uint256 p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint256,address,uint256,bool)", p0, p1, p2, p3));
    }

    function log(uint256 p0, address p1, uint256 p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint256,address,uint256,address)", p0, p1, p2, p3));
    }

    function log(uint256 p0, address p1, string memory p2, uint256 p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint256,address,string,uint256)", p0, p1, p2, p3));
    }

    function log(uint256 p0, address p1, string memory p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint256,address,string,string)", p0, p1, p2, p3));
    }

    function log(uint256 p0, address p1, string memory p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint256,address,string,bool)", p0, p1, p2, p3));
    }

    function log(uint256 p0, address p1, string memory p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint256,address,string,address)", p0, p1, p2, p3));
    }

    function log(uint256 p0, address p1, bool p2, uint256 p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint256,address,bool,uint256)", p0, p1, p2, p3));
    }

    function log(uint256 p0, address p1, bool p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint256,address,bool,string)", p0, p1, p2, p3));
    }

    function log(uint256 p0, address p1, bool p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint256,address,bool,bool)", p0, p1, p2, p3));
    }

    function log(uint256 p0, address p1, bool p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint256,address,bool,address)", p0, p1, p2, p3));
    }

    function log(uint256 p0, address p1, address p2, uint256 p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint256,address,address,uint256)", p0, p1, p2, p3));
    }

    function log(uint256 p0, address p1, address p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint256,address,address,string)", p0, p1, p2, p3));
    }

    function log(uint256 p0, address p1, address p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint256,address,address,bool)", p0, p1, p2, p3));
    }

    function log(uint256 p0, address p1, address p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint256,address,address,address)", p0, p1, p2, p3));
    }

    function log(string memory p0, uint256 p1, uint256 p2, uint256 p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,uint256,uint256,uint256)", p0, p1, p2, p3));
    }

    function log(string memory p0, uint256 p1, uint256 p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,uint256,uint256,string)", p0, p1, p2, p3));
    }

    function log(string memory p0, uint256 p1, uint256 p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,uint256,uint256,bool)", p0, p1, p2, p3));
    }

    function log(string memory p0, uint256 p1, uint256 p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,uint256,uint256,address)", p0, p1, p2, p3));
    }

    function log(string memory p0, uint256 p1, string memory p2, uint256 p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,uint256,string,uint256)", p0, p1, p2, p3));
    }

    function log(string memory p0, uint256 p1, string memory p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,uint256,string,string)", p0, p1, p2, p3));
    }

    function log(string memory p0, uint256 p1, string memory p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,uint256,string,bool)", p0, p1, p2, p3));
    }

    function log(string memory p0, uint256 p1, string memory p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,uint256,string,address)", p0, p1, p2, p3));
    }

    function log(string memory p0, uint256 p1, bool p2, uint256 p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,uint256,bool,uint256)", p0, p1, p2, p3));
    }

    function log(string memory p0, uint256 p1, bool p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,uint256,bool,string)", p0, p1, p2, p3));
    }

    function log(string memory p0, uint256 p1, bool p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,uint256,bool,bool)", p0, p1, p2, p3));
    }

    function log(string memory p0, uint256 p1, bool p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,uint256,bool,address)", p0, p1, p2, p3));
    }

    function log(string memory p0, uint256 p1, address p2, uint256 p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,uint256,address,uint256)", p0, p1, p2, p3));
    }

    function log(string memory p0, uint256 p1, address p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,uint256,address,string)", p0, p1, p2, p3));
    }

    function log(string memory p0, uint256 p1, address p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,uint256,address,bool)", p0, p1, p2, p3));
    }

    function log(string memory p0, uint256 p1, address p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,uint256,address,address)", p0, p1, p2, p3));
    }

    function log(string memory p0, string memory p1, uint256 p2, uint256 p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,string,uint256,uint256)", p0, p1, p2, p3));
    }

    function log(string memory p0, string memory p1, uint256 p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,string,uint256,string)", p0, p1, p2, p3));
    }

    function log(string memory p0, string memory p1, uint256 p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,string,uint256,bool)", p0, p1, p2, p3));
    }

    function log(string memory p0, string memory p1, uint256 p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,string,uint256,address)", p0, p1, p2, p3));
    }

    function log(string memory p0, string memory p1, string memory p2, uint256 p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,string,string,uint256)", p0, p1, p2, p3));
    }

    function log(string memory p0, string memory p1, string memory p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,string,string,string)", p0, p1, p2, p3));
    }

    function log(string memory p0, string memory p1, string memory p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,string,string,bool)", p0, p1, p2, p3));
    }

    function log(string memory p0, string memory p1, string memory p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,string,string,address)", p0, p1, p2, p3));
    }

    function log(string memory p0, string memory p1, bool p2, uint256 p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,string,bool,uint256)", p0, p1, p2, p3));
    }

    function log(string memory p0, string memory p1, bool p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,string,bool,string)", p0, p1, p2, p3));
    }

    function log(string memory p0, string memory p1, bool p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,string,bool,bool)", p0, p1, p2, p3));
    }

    function log(string memory p0, string memory p1, bool p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,string,bool,address)", p0, p1, p2, p3));
    }

    function log(string memory p0, string memory p1, address p2, uint256 p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,string,address,uint256)", p0, p1, p2, p3));
    }

    function log(string memory p0, string memory p1, address p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,string,address,string)", p0, p1, p2, p3));
    }

    function log(string memory p0, string memory p1, address p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,string,address,bool)", p0, p1, p2, p3));
    }

    function log(string memory p0, string memory p1, address p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,string,address,address)", p0, p1, p2, p3));
    }

    function log(string memory p0, bool p1, uint256 p2, uint256 p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,bool,uint256,uint256)", p0, p1, p2, p3));
    }

    function log(string memory p0, bool p1, uint256 p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,bool,uint256,string)", p0, p1, p2, p3));
    }

    function log(string memory p0, bool p1, uint256 p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,bool,uint256,bool)", p0, p1, p2, p3));
    }

    function log(string memory p0, bool p1, uint256 p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,bool,uint256,address)", p0, p1, p2, p3));
    }

    function log(string memory p0, bool p1, string memory p2, uint256 p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,bool,string,uint256)", p0, p1, p2, p3));
    }

    function log(string memory p0, bool p1, string memory p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,bool,string,string)", p0, p1, p2, p3));
    }

    function log(string memory p0, bool p1, string memory p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,bool,string,bool)", p0, p1, p2, p3));
    }

    function log(string memory p0, bool p1, string memory p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,bool,string,address)", p0, p1, p2, p3));
    }

    function log(string memory p0, bool p1, bool p2, uint256 p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,bool,bool,uint256)", p0, p1, p2, p3));
    }

    function log(string memory p0, bool p1, bool p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,bool,bool,string)", p0, p1, p2, p3));
    }

    function log(string memory p0, bool p1, bool p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,bool,bool,bool)", p0, p1, p2, p3));
    }

    function log(string memory p0, bool p1, bool p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,bool,bool,address)", p0, p1, p2, p3));
    }

    function log(string memory p0, bool p1, address p2, uint256 p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,bool,address,uint256)", p0, p1, p2, p3));
    }

    function log(string memory p0, bool p1, address p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,bool,address,string)", p0, p1, p2, p3));
    }

    function log(string memory p0, bool p1, address p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,bool,address,bool)", p0, p1, p2, p3));
    }

    function log(string memory p0, bool p1, address p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,bool,address,address)", p0, p1, p2, p3));
    }

    function log(string memory p0, address p1, uint256 p2, uint256 p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,address,uint256,uint256)", p0, p1, p2, p3));
    }

    function log(string memory p0, address p1, uint256 p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,address,uint256,string)", p0, p1, p2, p3));
    }

    function log(string memory p0, address p1, uint256 p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,address,uint256,bool)", p0, p1, p2, p3));
    }

    function log(string memory p0, address p1, uint256 p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,address,uint256,address)", p0, p1, p2, p3));
    }

    function log(string memory p0, address p1, string memory p2, uint256 p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,address,string,uint256)", p0, p1, p2, p3));
    }

    function log(string memory p0, address p1, string memory p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,address,string,string)", p0, p1, p2, p3));
    }

    function log(string memory p0, address p1, string memory p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,address,string,bool)", p0, p1, p2, p3));
    }

    function log(string memory p0, address p1, string memory p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,address,string,address)", p0, p1, p2, p3));
    }

    function log(string memory p0, address p1, bool p2, uint256 p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,address,bool,uint256)", p0, p1, p2, p3));
    }

    function log(string memory p0, address p1, bool p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,address,bool,string)", p0, p1, p2, p3));
    }

    function log(string memory p0, address p1, bool p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,address,bool,bool)", p0, p1, p2, p3));
    }

    function log(string memory p0, address p1, bool p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,address,bool,address)", p0, p1, p2, p3));
    }

    function log(string memory p0, address p1, address p2, uint256 p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,address,address,uint256)", p0, p1, p2, p3));
    }

    function log(string memory p0, address p1, address p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,address,address,string)", p0, p1, p2, p3));
    }

    function log(string memory p0, address p1, address p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,address,address,bool)", p0, p1, p2, p3));
    }

    function log(string memory p0, address p1, address p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,address,address,address)", p0, p1, p2, p3));
    }

    function log(bool p0, uint256 p1, uint256 p2, uint256 p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,uint256,uint256,uint256)", p0, p1, p2, p3));
    }

    function log(bool p0, uint256 p1, uint256 p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,uint256,uint256,string)", p0, p1, p2, p3));
    }

    function log(bool p0, uint256 p1, uint256 p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,uint256,uint256,bool)", p0, p1, p2, p3));
    }

    function log(bool p0, uint256 p1, uint256 p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,uint256,uint256,address)", p0, p1, p2, p3));
    }

    function log(bool p0, uint256 p1, string memory p2, uint256 p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,uint256,string,uint256)", p0, p1, p2, p3));
    }

    function log(bool p0, uint256 p1, string memory p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,uint256,string,string)", p0, p1, p2, p3));
    }

    function log(bool p0, uint256 p1, string memory p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,uint256,string,bool)", p0, p1, p2, p3));
    }

    function log(bool p0, uint256 p1, string memory p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,uint256,string,address)", p0, p1, p2, p3));
    }

    function log(bool p0, uint256 p1, bool p2, uint256 p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,uint256,bool,uint256)", p0, p1, p2, p3));
    }

    function log(bool p0, uint256 p1, bool p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,uint256,bool,string)", p0, p1, p2, p3));
    }

    function log(bool p0, uint256 p1, bool p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,uint256,bool,bool)", p0, p1, p2, p3));
    }

    function log(bool p0, uint256 p1, bool p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,uint256,bool,address)", p0, p1, p2, p3));
    }

    function log(bool p0, uint256 p1, address p2, uint256 p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,uint256,address,uint256)", p0, p1, p2, p3));
    }

    function log(bool p0, uint256 p1, address p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,uint256,address,string)", p0, p1, p2, p3));
    }

    function log(bool p0, uint256 p1, address p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,uint256,address,bool)", p0, p1, p2, p3));
    }

    function log(bool p0, uint256 p1, address p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,uint256,address,address)", p0, p1, p2, p3));
    }

    function log(bool p0, string memory p1, uint256 p2, uint256 p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,string,uint256,uint256)", p0, p1, p2, p3));
    }

    function log(bool p0, string memory p1, uint256 p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,string,uint256,string)", p0, p1, p2, p3));
    }

    function log(bool p0, string memory p1, uint256 p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,string,uint256,bool)", p0, p1, p2, p3));
    }

    function log(bool p0, string memory p1, uint256 p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,string,uint256,address)", p0, p1, p2, p3));
    }

    function log(bool p0, string memory p1, string memory p2, uint256 p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,string,string,uint256)", p0, p1, p2, p3));
    }

    function log(bool p0, string memory p1, string memory p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,string,string,string)", p0, p1, p2, p3));
    }

    function log(bool p0, string memory p1, string memory p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,string,string,bool)", p0, p1, p2, p3));
    }

    function log(bool p0, string memory p1, string memory p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,string,string,address)", p0, p1, p2, p3));
    }

    function log(bool p0, string memory p1, bool p2, uint256 p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,string,bool,uint256)", p0, p1, p2, p3));
    }

    function log(bool p0, string memory p1, bool p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,string,bool,string)", p0, p1, p2, p3));
    }

    function log(bool p0, string memory p1, bool p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,string,bool,bool)", p0, p1, p2, p3));
    }

    function log(bool p0, string memory p1, bool p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,string,bool,address)", p0, p1, p2, p3));
    }

    function log(bool p0, string memory p1, address p2, uint256 p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,string,address,uint256)", p0, p1, p2, p3));
    }

    function log(bool p0, string memory p1, address p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,string,address,string)", p0, p1, p2, p3));
    }

    function log(bool p0, string memory p1, address p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,string,address,bool)", p0, p1, p2, p3));
    }

    function log(bool p0, string memory p1, address p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,string,address,address)", p0, p1, p2, p3));
    }

    function log(bool p0, bool p1, uint256 p2, uint256 p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,bool,uint256,uint256)", p0, p1, p2, p3));
    }

    function log(bool p0, bool p1, uint256 p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,bool,uint256,string)", p0, p1, p2, p3));
    }

    function log(bool p0, bool p1, uint256 p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,bool,uint256,bool)", p0, p1, p2, p3));
    }

    function log(bool p0, bool p1, uint256 p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,bool,uint256,address)", p0, p1, p2, p3));
    }

    function log(bool p0, bool p1, string memory p2, uint256 p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,bool,string,uint256)", p0, p1, p2, p3));
    }

    function log(bool p0, bool p1, string memory p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,bool,string,string)", p0, p1, p2, p3));
    }

    function log(bool p0, bool p1, string memory p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,bool,string,bool)", p0, p1, p2, p3));
    }

    function log(bool p0, bool p1, string memory p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,bool,string,address)", p0, p1, p2, p3));
    }

    function log(bool p0, bool p1, bool p2, uint256 p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,bool,bool,uint256)", p0, p1, p2, p3));
    }

    function log(bool p0, bool p1, bool p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,bool,bool,string)", p0, p1, p2, p3));
    }

    function log(bool p0, bool p1, bool p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,bool,bool,bool)", p0, p1, p2, p3));
    }

    function log(bool p0, bool p1, bool p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,bool,bool,address)", p0, p1, p2, p3));
    }

    function log(bool p0, bool p1, address p2, uint256 p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,bool,address,uint256)", p0, p1, p2, p3));
    }

    function log(bool p0, bool p1, address p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,bool,address,string)", p0, p1, p2, p3));
    }

    function log(bool p0, bool p1, address p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,bool,address,bool)", p0, p1, p2, p3));
    }

    function log(bool p0, bool p1, address p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,bool,address,address)", p0, p1, p2, p3));
    }

    function log(bool p0, address p1, uint256 p2, uint256 p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,address,uint256,uint256)", p0, p1, p2, p3));
    }

    function log(bool p0, address p1, uint256 p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,address,uint256,string)", p0, p1, p2, p3));
    }

    function log(bool p0, address p1, uint256 p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,address,uint256,bool)", p0, p1, p2, p3));
    }

    function log(bool p0, address p1, uint256 p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,address,uint256,address)", p0, p1, p2, p3));
    }

    function log(bool p0, address p1, string memory p2, uint256 p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,address,string,uint256)", p0, p1, p2, p3));
    }

    function log(bool p0, address p1, string memory p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,address,string,string)", p0, p1, p2, p3));
    }

    function log(bool p0, address p1, string memory p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,address,string,bool)", p0, p1, p2, p3));
    }

    function log(bool p0, address p1, string memory p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,address,string,address)", p0, p1, p2, p3));
    }

    function log(bool p0, address p1, bool p2, uint256 p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,address,bool,uint256)", p0, p1, p2, p3));
    }

    function log(bool p0, address p1, bool p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,address,bool,string)", p0, p1, p2, p3));
    }

    function log(bool p0, address p1, bool p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,address,bool,bool)", p0, p1, p2, p3));
    }

    function log(bool p0, address p1, bool p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,address,bool,address)", p0, p1, p2, p3));
    }

    function log(bool p0, address p1, address p2, uint256 p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,address,address,uint256)", p0, p1, p2, p3));
    }

    function log(bool p0, address p1, address p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,address,address,string)", p0, p1, p2, p3));
    }

    function log(bool p0, address p1, address p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,address,address,bool)", p0, p1, p2, p3));
    }

    function log(bool p0, address p1, address p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,address,address,address)", p0, p1, p2, p3));
    }

    function log(address p0, uint256 p1, uint256 p2, uint256 p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,uint256,uint256,uint256)", p0, p1, p2, p3));
    }

    function log(address p0, uint256 p1, uint256 p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,uint256,uint256,string)", p0, p1, p2, p3));
    }

    function log(address p0, uint256 p1, uint256 p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,uint256,uint256,bool)", p0, p1, p2, p3));
    }

    function log(address p0, uint256 p1, uint256 p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,uint256,uint256,address)", p0, p1, p2, p3));
    }

    function log(address p0, uint256 p1, string memory p2, uint256 p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,uint256,string,uint256)", p0, p1, p2, p3));
    }

    function log(address p0, uint256 p1, string memory p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,uint256,string,string)", p0, p1, p2, p3));
    }

    function log(address p0, uint256 p1, string memory p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,uint256,string,bool)", p0, p1, p2, p3));
    }

    function log(address p0, uint256 p1, string memory p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,uint256,string,address)", p0, p1, p2, p3));
    }

    function log(address p0, uint256 p1, bool p2, uint256 p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,uint256,bool,uint256)", p0, p1, p2, p3));
    }

    function log(address p0, uint256 p1, bool p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,uint256,bool,string)", p0, p1, p2, p3));
    }

    function log(address p0, uint256 p1, bool p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,uint256,bool,bool)", p0, p1, p2, p3));
    }

    function log(address p0, uint256 p1, bool p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,uint256,bool,address)", p0, p1, p2, p3));
    }

    function log(address p0, uint256 p1, address p2, uint256 p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,uint256,address,uint256)", p0, p1, p2, p3));
    }

    function log(address p0, uint256 p1, address p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,uint256,address,string)", p0, p1, p2, p3));
    }

    function log(address p0, uint256 p1, address p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,uint256,address,bool)", p0, p1, p2, p3));
    }

    function log(address p0, uint256 p1, address p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,uint256,address,address)", p0, p1, p2, p3));
    }

    function log(address p0, string memory p1, uint256 p2, uint256 p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,string,uint256,uint256)", p0, p1, p2, p3));
    }

    function log(address p0, string memory p1, uint256 p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,string,uint256,string)", p0, p1, p2, p3));
    }

    function log(address p0, string memory p1, uint256 p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,string,uint256,bool)", p0, p1, p2, p3));
    }

    function log(address p0, string memory p1, uint256 p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,string,uint256,address)", p0, p1, p2, p3));
    }

    function log(address p0, string memory p1, string memory p2, uint256 p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,string,string,uint256)", p0, p1, p2, p3));
    }

    function log(address p0, string memory p1, string memory p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,string,string,string)", p0, p1, p2, p3));
    }

    function log(address p0, string memory p1, string memory p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,string,string,bool)", p0, p1, p2, p3));
    }

    function log(address p0, string memory p1, string memory p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,string,string,address)", p0, p1, p2, p3));
    }

    function log(address p0, string memory p1, bool p2, uint256 p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,string,bool,uint256)", p0, p1, p2, p3));
    }

    function log(address p0, string memory p1, bool p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,string,bool,string)", p0, p1, p2, p3));
    }

    function log(address p0, string memory p1, bool p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,string,bool,bool)", p0, p1, p2, p3));
    }

    function log(address p0, string memory p1, bool p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,string,bool,address)", p0, p1, p2, p3));
    }

    function log(address p0, string memory p1, address p2, uint256 p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,string,address,uint256)", p0, p1, p2, p3));
    }

    function log(address p0, string memory p1, address p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,string,address,string)", p0, p1, p2, p3));
    }

    function log(address p0, string memory p1, address p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,string,address,bool)", p0, p1, p2, p3));
    }

    function log(address p0, string memory p1, address p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,string,address,address)", p0, p1, p2, p3));
    }

    function log(address p0, bool p1, uint256 p2, uint256 p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,bool,uint256,uint256)", p0, p1, p2, p3));
    }

    function log(address p0, bool p1, uint256 p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,bool,uint256,string)", p0, p1, p2, p3));
    }

    function log(address p0, bool p1, uint256 p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,bool,uint256,bool)", p0, p1, p2, p3));
    }

    function log(address p0, bool p1, uint256 p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,bool,uint256,address)", p0, p1, p2, p3));
    }

    function log(address p0, bool p1, string memory p2, uint256 p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,bool,string,uint256)", p0, p1, p2, p3));
    }

    function log(address p0, bool p1, string memory p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,bool,string,string)", p0, p1, p2, p3));
    }

    function log(address p0, bool p1, string memory p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,bool,string,bool)", p0, p1, p2, p3));
    }

    function log(address p0, bool p1, string memory p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,bool,string,address)", p0, p1, p2, p3));
    }

    function log(address p0, bool p1, bool p2, uint256 p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,bool,bool,uint256)", p0, p1, p2, p3));
    }

    function log(address p0, bool p1, bool p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,bool,bool,string)", p0, p1, p2, p3));
    }

    function log(address p0, bool p1, bool p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,bool,bool,bool)", p0, p1, p2, p3));
    }

    function log(address p0, bool p1, bool p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,bool,bool,address)", p0, p1, p2, p3));
    }

    function log(address p0, bool p1, address p2, uint256 p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,bool,address,uint256)", p0, p1, p2, p3));
    }

    function log(address p0, bool p1, address p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,bool,address,string)", p0, p1, p2, p3));
    }

    function log(address p0, bool p1, address p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,bool,address,bool)", p0, p1, p2, p3));
    }

    function log(address p0, bool p1, address p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,bool,address,address)", p0, p1, p2, p3));
    }

    function log(address p0, address p1, uint256 p2, uint256 p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,address,uint256,uint256)", p0, p1, p2, p3));
    }

    function log(address p0, address p1, uint256 p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,address,uint256,string)", p0, p1, p2, p3));
    }

    function log(address p0, address p1, uint256 p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,address,uint256,bool)", p0, p1, p2, p3));
    }

    function log(address p0, address p1, uint256 p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,address,uint256,address)", p0, p1, p2, p3));
    }

    function log(address p0, address p1, string memory p2, uint256 p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,address,string,uint256)", p0, p1, p2, p3));
    }

    function log(address p0, address p1, string memory p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,address,string,string)", p0, p1, p2, p3));
    }

    function log(address p0, address p1, string memory p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,address,string,bool)", p0, p1, p2, p3));
    }

    function log(address p0, address p1, string memory p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,address,string,address)", p0, p1, p2, p3));
    }

    function log(address p0, address p1, bool p2, uint256 p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,address,bool,uint256)", p0, p1, p2, p3));
    }

    function log(address p0, address p1, bool p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,address,bool,string)", p0, p1, p2, p3));
    }

    function log(address p0, address p1, bool p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,address,bool,bool)", p0, p1, p2, p3));
    }

    function log(address p0, address p1, bool p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,address,bool,address)", p0, p1, p2, p3));
    }

    function log(address p0, address p1, address p2, uint256 p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,address,address,uint256)", p0, p1, p2, p3));
    }

    function log(address p0, address p1, address p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,address,address,string)", p0, p1, p2, p3));
    }

    function log(address p0, address p1, address p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,address,address,bool)", p0, p1, p2, p3));
    }

    function log(address p0, address p1, address p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,address,address,address)", p0, p1, p2, p3));
    }

}
// File: lib/openzeppelin-contracts-upgradeable/contracts/access/OwnableUpgradeable.sol



// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts (last updated v4.7.0) (access/Ownable.sol)

pragma solidity ^0.8.0;

import "../utils/ContextUpgradeable.sol";
import "../proxy/utils/Initializable.sol";

/**
 * @dev Contract module which provides a basic access control mechanism, where
 * there is an account (an owner) that can be granted exclusive access to
 * specific functions.
 *
 * By default, the owner account will be the one that deploys the contract. This
 * can later be changed with {transferOwnership}.
 *
 * This module is used through inheritance. It will make available the modifier
 * `onlyOwner`, which can be applied to your functions to restrict their use to
 * the owner.
 */
abstract contract OwnableUpgradeable is Initializable, ContextUpgradeable {
    address private _owner;

    event OwnershipTransferred(address indexed previousOwner, address indexed newOwner);

    /**
     * @dev Initializes the contract setting the deployer as the initial owner.
     */
    function __Ownable_init() internal onlyInitializing {
        __Ownable_init_unchained();
    }

    function __Ownable_init_unchained() internal onlyInitializing {
        _transferOwnership(_msgSender());
    }

    /**
     * @dev Throws if called by any account other than the owner.
     */
    modifier onlyOwner() {
        _checkOwner();
        _;
    }

    /**
     * @dev Returns the address of the current owner.
     */
    function owner() public view virtual returns (address) {
        return _owner;
    }

    /**
     * @dev Throws if the sender is not the owner.
     */
    function _checkOwner() internal view virtual {
        require(owner() == _msgSender(), "Ownable: caller is not the owner");
    }

    /**
     * @dev Leaves the contract without owner. It will not be possible to call
     * `onlyOwner` functions anymore. Can only be called by the current owner.
     *
     * NOTE: Renouncing ownership will leave the contract without an owner,
     * thereby removing any functionality that is only available to the owner.
     */
    function renounceOwnership() public virtual onlyOwner {
        _transferOwnership(address(0));
    }

    /**
     * @dev Transfers ownership of the contract to a new account (`newOwner`).
     * Can only be called by the current owner.
     */
    function transferOwnership(address newOwner) public virtual onlyOwner {
        require(newOwner != address(0), "Ownable: new owner is the zero address");
        _transferOwnership(newOwner);
    }

    /**
     * @dev Transfers ownership of the contract to a new account (`newOwner`).
     * Internal function without access restriction.
     */
    function _transferOwnership(address newOwner) internal virtual {
        address oldOwner = _owner;
        _owner = newOwner;
        emit OwnershipTransferred(oldOwner, newOwner);
    }

    /**
     * @dev This empty reserved space is put in place to allow future versions to add new
     * variables without shifting down storage in the inheritance chain.
     * See https://docs.openzeppelin.com/contracts/4.x/upgradeable#storage_gaps
     */
    uint256[49] private __gap;
}

// File: lib/openzeppelin-contracts-upgradeable/contracts/proxy/utils/Initializable.sol



// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts (last updated v4.8.0) (proxy/utils/Initializable.sol)

pragma solidity ^0.8.2;

import "../../utils/AddressUpgradeable.sol";

/**
 * @dev This is a base contract to aid in writing upgradeable contracts, or any kind of contract that will be deployed
 * behind a proxy. Since proxied contracts do not make use of a constructor, it's common to move constructor logic to an
 * external initializer function, usually called `initialize`. It then becomes necessary to protect this initializer
 * function so it can only be called once. The {initializer} modifier provided by this contract will have this effect.
 *
 * The initialization functions use a version number. Once a version number is used, it is consumed and cannot be
 * reused. This mechanism prevents re-execution of each "step" but allows the creation of new initialization steps in
 * case an upgrade adds a module that needs to be initialized.
 *
 * For example:
 *
 * [.hljs-theme-light.nopadding]
 * ```
 * contract MyToken is ERC20Upgradeable {
 *     function initialize() initializer public {
 *         __ERC20_init("MyToken", "MTK");
 *     }
 * }
 * contract MyTokenV2 is MyToken, ERC20PermitUpgradeable {
 *     function initializeV2() reinitializer(2) public {
 *         __ERC20Permit_init("MyToken");
 *     }
 * }
 * ```
 *
 * TIP: To avoid leaving the proxy in an uninitialized state, the initializer function should be called as early as
 * possible by providing the encoded function call as the `_data` argument to {ERC1967Proxy-constructor}.
 *
 * CAUTION: When used with inheritance, manual care must be taken to not invoke a parent initializer twice, or to ensure
 * that all initializers are idempotent. This is not verified automatically as constructors are by Solidity.
 *
 * [CAUTION]
 * ====
 * Avoid leaving a contract uninitialized.
 *
 * An uninitialized contract can be taken over by an attacker. This applies to both a proxy and its implementation
 * contract, which may impact the proxy. To prevent the implementation contract from being used, you should invoke
 * the {_disableInitializers} function in the constructor to automatically lock it when it is deployed:
 *
 * [.hljs-theme-light.nopadding]
 * ```
 * /// @custom:oz-upgrades-unsafe-allow constructor
 * constructor() {
 *     _disableInitializers();
 * }
 * ```
 * ====
 */
abstract contract Initializable {
    /**
     * @dev Indicates that the contract has been initialized.
     * @custom:oz-retyped-from bool
     */
    uint8 private _initialized;

    /**
     * @dev Indicates that the contract is in the process of being initialized.
     */
    bool private _initializing;

    /**
     * @dev Triggered when the contract has been initialized or reinitialized.
     */
    event Initialized(uint8 version);

    /**
     * @dev A modifier that defines a protected initializer function that can be invoked at most once. In its scope,
     * `onlyInitializing` functions can be used to initialize parent contracts.
     *
     * Similar to `reinitializer(1)`, except that functions marked with `initializer` can be nested in the context of a
     * constructor.
     *
     * Emits an {Initialized} event.
     */
    modifier initializer() {
        bool isTopLevelCall = !_initializing;
        require(
            (isTopLevelCall && _initialized < 1) || (!AddressUpgradeable.isContract(address(this)) && _initialized == 1),
            "Initializable: contract is already initialized"
        );
        _initialized = 1;
        if (isTopLevelCall) {
            _initializing = true;
        }
        _;
        if (isTopLevelCall) {
            _initializing = false;
            emit Initialized(1);
        }
    }

    /**
     * @dev A modifier that defines a protected reinitializer function that can be invoked at most once, and only if the
     * contract hasn't been initialized to a greater version before. In its scope, `onlyInitializing` functions can be
     * used to initialize parent contracts.
     *
     * A reinitializer may be used after the original initialization step. This is essential to configure modules that
     * are added through upgrades and that require initialization.
     *
     * When `version` is 1, this modifier is similar to `initializer`, except that functions marked with `reinitializer`
     * cannot be nested. If one is invoked in the context of another, execution will revert.
     *
     * Note that versions can jump in increments greater than 1; this implies that if multiple reinitializers coexist in
     * a contract, executing them in the right order is up to the developer or operator.
     *
     * WARNING: setting the version to 255 will prevent any future reinitialization.
     *
     * Emits an {Initialized} event.
     */
    modifier reinitializer(uint8 version) {
        require(!_initializing && _initialized < version, "Initializable: contract is already initialized");
        _initialized = version;
        _initializing = true;
        _;
        _initializing = false;
        emit Initialized(version);
    }

    /**
     * @dev Modifier to protect an initialization function so that it can only be invoked by functions with the
     * {initializer} and {reinitializer} modifiers, directly or indirectly.
     */
    modifier onlyInitializing() {
        require(_initializing, "Initializable: contract is not initializing");
        _;
    }

    /**
     * @dev Locks the contract, preventing any future reinitialization. This cannot be part of an initializer call.
     * Calling this in the constructor of a contract will prevent that contract from being initialized or reinitialized
     * to any version. It is recommended to use this to lock implementation contracts that are designed to be called
     * through proxies.
     *
     * Emits an {Initialized} event the first time it is successfully executed.
     */
    function _disableInitializers() internal virtual {
        require(!_initializing, "Initializable: contract is initializing");
        if (_initialized < type(uint8).max) {
            _initialized = type(uint8).max;
            emit Initialized(type(uint8).max);
        }
    }

    /**
     * @dev Internal function that returns the initialized version. Returns `_initialized`
     */
    function _getInitializedVersion() internal view returns (uint8) {
        return _initialized;
    }

    /**
     * @dev Internal function that returns the initialized version. Returns `_initializing`
     */
    function _isInitializing() internal view returns (bool) {
        return _initializing;
    }
}

// File: lib/openzeppelin-contracts-upgradeable/contracts/token/ERC721/ERC721Upgradeable.sol



// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts (last updated v4.8.0) (token/ERC721/ERC721.sol)

pragma solidity ^0.8.0;

import "./IERC721Upgradeable.sol";
import "./IERC721ReceiverUpgradeable.sol";
import "./extensions/IERC721MetadataUpgradeable.sol";
import "../../utils/AddressUpgradeable.sol";
import "../../utils/ContextUpgradeable.sol";
import "../../utils/StringsUpgradeable.sol";
import "../../utils/introspection/ERC165Upgradeable.sol";
import "../../proxy/utils/Initializable.sol";

/**
 * @dev Implementation of https://eips.ethereum.org/EIPS/eip-721[ERC721] Non-Fungible Token Standard, including
 * the Metadata extension, but not including the Enumerable extension, which is available separately as
 * {ERC721Enumerable}.
 */
contract ERC721Upgradeable is Initializable, ContextUpgradeable, ERC165Upgradeable, IERC721Upgradeable, IERC721MetadataUpgradeable {
    using AddressUpgradeable for address;
    using StringsUpgradeable for uint256;

    // Token name
    string private _name;

    // Token symbol
    string private _symbol;

    // Mapping from token ID to owner address
    mapping(uint256 => address) private _owners;

    // Mapping owner address to token count
    mapping(address => uint256) private _balances;

    // Mapping from token ID to approved address
    mapping(uint256 => address) private _tokenApprovals;

    // Mapping from owner to operator approvals
    mapping(address => mapping(address => bool)) private _operatorApprovals;

    /**
     * @dev Initializes the contract by setting a `name` and a `symbol` to the token collection.
     */
    function __ERC721_init(string memory name_, string memory symbol_) internal onlyInitializing {
        __ERC721_init_unchained(name_, symbol_);
    }

    function __ERC721_init_unchained(string memory name_, string memory symbol_) internal onlyInitializing {
        _name = name_;
        _symbol = symbol_;
    }

    /**
     * @dev See {IERC165-supportsInterface}.
     */
    function supportsInterface(bytes4 interfaceId) public view virtual override(ERC165Upgradeable, IERC165Upgradeable) returns (bool) {
        return
            interfaceId == type(IERC721Upgradeable).interfaceId ||
            interfaceId == type(IERC721MetadataUpgradeable).interfaceId ||
            super.supportsInterface(interfaceId);
    }

    /**
     * @dev See {IERC721-balanceOf}.
     */
    function balanceOf(address owner) public view virtual override returns (uint256) {
        require(owner != address(0), "ERC721: address zero is not a valid owner");
        return _balances[owner];
    }

    /**
     * @dev See {IERC721-ownerOf}.
     */
    function ownerOf(uint256 tokenId) public view virtual override returns (address) {
        address owner = _ownerOf(tokenId);
        require(owner != address(0), "ERC721: invalid token ID");
        return owner;
    }

    /**
     * @dev See {IERC721Metadata-name}.
     */
    function name() public view virtual override returns (string memory) {
        return _name;
    }

    /**
     * @dev See {IERC721Metadata-symbol}.
     */
    function symbol() public view virtual override returns (string memory) {
        return _symbol;
    }

    /**
     * @dev See {IERC721Metadata-tokenURI}.
     */
    function tokenURI(uint256 tokenId) public view virtual override returns (string memory) {
        _requireMinted(tokenId);

        string memory baseURI = _baseURI();
        return bytes(baseURI).length > 0 ? string(abi.encodePacked(baseURI, tokenId.toString())) : "";
    }

    /**
     * @dev Base URI for computing {tokenURI}. If set, the resulting URI for each
     * token will be the concatenation of the `baseURI` and the `tokenId`. Empty
     * by default, can be overridden in child contracts.
     */
    function _baseURI() internal view virtual returns (string memory) {
        return "";
    }

    /**
     * @dev See {IERC721-approve}.
     */
    function approve(address to, uint256 tokenId) public virtual override {
        address owner = ERC721Upgradeable.ownerOf(tokenId);
        require(to != owner, "ERC721: approval to current owner");

        require(
            _msgSender() == owner || isApprovedForAll(owner, _msgSender()),
            "ERC721: approve caller is not token owner or approved for all"
        );

        _approve(to, tokenId);
    }

    /**
     * @dev See {IERC721-getApproved}.
     */
    function getApproved(uint256 tokenId) public view virtual override returns (address) {
        _requireMinted(tokenId);

        return _tokenApprovals[tokenId];
    }

    /**
     * @dev See {IERC721-setApprovalForAll}.
     */
    function setApprovalForAll(address operator, bool approved) public virtual override {
        _setApprovalForAll(_msgSender(), operator, approved);
    }

    /**
     * @dev See {IERC721-isApprovedForAll}.
     */
    function isApprovedForAll(address owner, address operator) public view virtual override returns (bool) {
        return _operatorApprovals[owner][operator];
    }

    /**
     * @dev See {IERC721-transferFrom}.
     */
    function transferFrom(
        address from,
        address to,
        uint256 tokenId
    ) public virtual override {
        //solhint-disable-next-line max-line-length
        require(_isApprovedOrOwner(_msgSender(), tokenId), "ERC721: caller is not token owner or approved");

        _transfer(from, to, tokenId);
    }

    /**
     * @dev See {IERC721-safeTransferFrom}.
     */
    function safeTransferFrom(
        address from,
        address to,
        uint256 tokenId
    ) public virtual override {
        safeTransferFrom(from, to, tokenId, "");
    }

    /**
     * @dev See {IERC721-safeTransferFrom}.
     */
    function safeTransferFrom(
        address from,
        address to,
        uint256 tokenId,
        bytes memory data
    ) public virtual override {
        require(_isApprovedOrOwner(_msgSender(), tokenId), "ERC721: caller is not token owner or approved");
        _safeTransfer(from, to, tokenId, data);
    }

    /**
     * @dev Safely transfers `tokenId` token from `from` to `to`, checking first that contract recipients
     * are aware of the ERC721 protocol to prevent tokens from being forever locked.
     *
     * `data` is additional data, it has no specified format and it is sent in call to `to`.
     *
     * This internal function is equivalent to {safeTransferFrom}, and can be used to e.g.
     * implement alternative mechanisms to perform token transfer, such as signature-based.
     *
     * Requirements:
     *
     * - `from` cannot be the zero address.
     * - `to` cannot be the zero address.
     * - `tokenId` token must exist and be owned by `from`.
     * - If `to` refers to a smart contract, it must implement {IERC721Receiver-onERC721Received}, which is called upon a safe transfer.
     *
     * Emits a {Transfer} event.
     */
    function _safeTransfer(
        address from,
        address to,
        uint256 tokenId,
        bytes memory data
    ) internal virtual {
        _transfer(from, to, tokenId);
        require(_checkOnERC721Received(from, to, tokenId, data), "ERC721: transfer to non ERC721Receiver implementer");
    }

    /**
     * @dev Returns the owner of the `tokenId`. Does NOT revert if token doesn't exist
     */
    function _ownerOf(uint256 tokenId) internal view virtual returns (address) {
        return _owners[tokenId];
    }

    /**
     * @dev Returns whether `tokenId` exists.
     *
     * Tokens can be managed by their owner or approved accounts via {approve} or {setApprovalForAll}.
     *
     * Tokens start existing when they are minted (`_mint`),
     * and stop existing when they are burned (`_burn`).
     */
    function _exists(uint256 tokenId) internal view virtual returns (bool) {
        return _ownerOf(tokenId) != address(0);
    }

    /**
     * @dev Returns whether `spender` is allowed to manage `tokenId`.
     *
     * Requirements:
     *
     * - `tokenId` must exist.
     */
    function _isApprovedOrOwner(address spender, uint256 tokenId) internal view virtual returns (bool) {
        address owner = ERC721Upgradeable.ownerOf(tokenId);
        return (spender == owner || isApprovedForAll(owner, spender) || getApproved(tokenId) == spender);
    }

    /**
     * @dev Safely mints `tokenId` and transfers it to `to`.
     *
     * Requirements:
     *
     * - `tokenId` must not exist.
     * - If `to` refers to a smart contract, it must implement {IERC721Receiver-onERC721Received}, which is called upon a safe transfer.
     *
     * Emits a {Transfer} event.
     */
    function _safeMint(address to, uint256 tokenId) internal virtual {
        _safeMint(to, tokenId, "");
    }

    /**
     * @dev Same as {xref-ERC721-_safeMint-address-uint256-}[`_safeMint`], with an additional `data` parameter which is
     * forwarded in {IERC721Receiver-onERC721Received} to contract recipients.
     */
    function _safeMint(
        address to,
        uint256 tokenId,
        bytes memory data
    ) internal virtual {
        _mint(to, tokenId);
        require(
            _checkOnERC721Received(address(0), to, tokenId, data),
            "ERC721: transfer to non ERC721Receiver implementer"
        );
    }

    /**
     * @dev Mints `tokenId` and transfers it to `to`.
     *
     * WARNING: Usage of this method is discouraged, use {_safeMint} whenever possible
     *
     * Requirements:
     *
     * - `tokenId` must not exist.
     * - `to` cannot be the zero address.
     *
     * Emits a {Transfer} event.
     */
    function _mint(address to, uint256 tokenId) internal virtual {
        require(to != address(0), "ERC721: mint to the zero address");
        require(!_exists(tokenId), "ERC721: token already minted");

        _beforeTokenTransfer(address(0), to, tokenId, 1);

        // Check that tokenId was not minted by `_beforeTokenTransfer` hook
        require(!_exists(tokenId), "ERC721: token already minted");

        unchecked {
            // Will not overflow unless all 2**256 token ids are minted to the same owner.
            // Given that tokens are minted one by one, it is impossible in practice that
            // this ever happens. Might change if we allow batch minting.
            // The ERC fails to describe this case.
            _balances[to] += 1;
        }

        _owners[tokenId] = to;

        emit Transfer(address(0), to, tokenId);

        _afterTokenTransfer(address(0), to, tokenId, 1);
    }

    /**
     * @dev Destroys `tokenId`.
     * The approval is cleared when the token is burned.
     * This is an internal function that does not check if the sender is authorized to operate on the token.
     *
     * Requirements:
     *
     * - `tokenId` must exist.
     *
     * Emits a {Transfer} event.
     */
    function _burn(uint256 tokenId) internal virtual {
        address owner = ERC721Upgradeable.ownerOf(tokenId);

        _beforeTokenTransfer(owner, address(0), tokenId, 1);

        // Update ownership in case tokenId was transferred by `_beforeTokenTransfer` hook
        owner = ERC721Upgradeable.ownerOf(tokenId);

        // Clear approvals
        delete _tokenApprovals[tokenId];

        unchecked {
            // Cannot overflow, as that would require more tokens to be burned/transferred
            // out than the owner initially received through minting and transferring in.
            _balances[owner] -= 1;
        }
        delete _owners[tokenId];

        emit Transfer(owner, address(0), tokenId);

        _afterTokenTransfer(owner, address(0), tokenId, 1);
    }

    /**
     * @dev Transfers `tokenId` from `from` to `to`.
     *  As opposed to {transferFrom}, this imposes no restrictions on msg.sender.
     *
     * Requirements:
     *
     * - `to` cannot be the zero address.
     * - `tokenId` token must be owned by `from`.
     *
     * Emits a {Transfer} event.
     */
    function _transfer(
        address from,
        address to,
        uint256 tokenId
    ) internal virtual {
        require(ERC721Upgradeable.ownerOf(tokenId) == from, "ERC721: transfer from incorrect owner");
        require(to != address(0), "ERC721: transfer to the zero address");

        _beforeTokenTransfer(from, to, tokenId, 1);

        // Check that tokenId was not transferred by `_beforeTokenTransfer` hook
        require(ERC721Upgradeable.ownerOf(tokenId) == from, "ERC721: transfer from incorrect owner");

        // Clear approvals from the previous owner
        delete _tokenApprovals[tokenId];

        unchecked {
            // `_balances[from]` cannot overflow for the same reason as described in `_burn`:
            // `from`'s balance is the number of token held, which is at least one before the current
            // transfer.
            // `_balances[to]` could overflow in the conditions described in `_mint`. That would require
            // all 2**256 token ids to be minted, which in practice is impossible.
            _balances[from] -= 1;
            _balances[to] += 1;
        }
        _owners[tokenId] = to;

        emit Transfer(from, to, tokenId);

        _afterTokenTransfer(from, to, tokenId, 1);
    }

    /**
     * @dev Approve `to` to operate on `tokenId`
     *
     * Emits an {Approval} event.
     */
    function _approve(address to, uint256 tokenId) internal virtual {
        _tokenApprovals[tokenId] = to;
        emit Approval(ERC721Upgradeable.ownerOf(tokenId), to, tokenId);
    }

    /**
     * @dev Approve `operator` to operate on all of `owner` tokens
     *
     * Emits an {ApprovalForAll} event.
     */
    function _setApprovalForAll(
        address owner,
        address operator,
        bool approved
    ) internal virtual {
        require(owner != operator, "ERC721: approve to caller");
        _operatorApprovals[owner][operator] = approved;
        emit ApprovalForAll(owner, operator, approved);
    }

    /**
     * @dev Reverts if the `tokenId` has not been minted yet.
     */
    function _requireMinted(uint256 tokenId) internal view virtual {
        require(_exists(tokenId), "ERC721: invalid token ID");
    }

    /**
     * @dev Internal function to invoke {IERC721Receiver-onERC721Received} on a target address.
     * The call is not executed if the target address is not a contract.
     *
     * @param from address representing the previous owner of the given token ID
     * @param to target address that will receive the tokens
     * @param tokenId uint256 ID of the token to be transferred
     * @param data bytes optional data to send along with the call
     * @return bool whether the call correctly returned the expected magic value
     */
    function _checkOnERC721Received(
        address from,
        address to,
        uint256 tokenId,
        bytes memory data
    ) private returns (bool) {
        if (to.isContract()) {
            try IERC721ReceiverUpgradeable(to).onERC721Received(_msgSender(), from, tokenId, data) returns (bytes4 retval) {
                return retval == IERC721ReceiverUpgradeable.onERC721Received.selector;
            } catch (bytes memory reason) {
                if (reason.length == 0) {
                    revert("ERC721: transfer to non ERC721Receiver implementer");
                } else {
                    /// @solidity memory-safe-assembly
                    assembly {
                        revert(add(32, reason), mload(reason))
                    }
                }
            }
        } else {
            return true;
        }
    }

    /**
     * @dev Hook that is called before any token transfer. This includes minting and burning. If {ERC721Consecutive} is
     * used, the hook may be called as part of a consecutive (batch) mint, as indicated by `batchSize` greater than 1.
     *
     * Calling conditions:
     *
     * - When `from` and `to` are both non-zero, ``from``'s tokens will be transferred to `to`.
     * - When `from` is zero, the tokens will be minted for `to`.
     * - When `to` is zero, ``from``'s tokens will be burned.
     * - `from` and `to` are never both zero.
     * - `batchSize` is non-zero.
     *
     * To learn more about hooks, head to xref:ROOT:extending-contracts.adoc#using-hooks[Using Hooks].
     */
    function _beforeTokenTransfer(
        address from,
        address to,
        uint256, /* firstTokenId */
        uint256 batchSize
    ) internal virtual {
        if (batchSize > 1) {
            if (from != address(0)) {
                _balances[from] -= batchSize;
            }
            if (to != address(0)) {
                _balances[to] += batchSize;
            }
        }
    }

    /**
     * @dev Hook that is called after any token transfer. This includes minting and burning. If {ERC721Consecutive} is
     * used, the hook may be called as part of a consecutive (batch) mint, as indicated by `batchSize` greater than 1.
     *
     * Calling conditions:
     *
     * - When `from` and `to` are both non-zero, ``from``'s tokens were transferred to `to`.
     * - When `from` is zero, the tokens were minted for `to`.
     * - When `to` is zero, ``from``'s tokens were burned.
     * - `from` and `to` are never both zero.
     * - `batchSize` is non-zero.
     *
     * To learn more about hooks, head to xref:ROOT:extending-contracts.adoc#using-hooks[Using Hooks].
     */
    function _afterTokenTransfer(
        address from,
        address to,
        uint256 firstTokenId,
        uint256 batchSize
    ) internal virtual {}

    /**
     * @dev This empty reserved space is put in place to allow future versions to add new
     * variables without shifting down storage in the inheritance chain.
     * See https://docs.openzeppelin.com/contracts/4.x/upgradeable#storage_gaps
     */
    uint256[44] private __gap;
}

// File: lib/openzeppelin-contracts-upgradeable/contracts/token/ERC721/IERC721ReceiverUpgradeable.sol



// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts (last updated v4.6.0) (token/ERC721/IERC721Receiver.sol)

pragma solidity ^0.8.0;

/**
 * @title ERC721 token receiver interface
 * @dev Interface for any contract that wants to support safeTransfers
 * from ERC721 asset contracts.
 */
interface IERC721ReceiverUpgradeable {
    /**
     * @dev Whenever an {IERC721} `tokenId` token is transferred to this contract via {IERC721-safeTransferFrom}
     * by `operator` from `from`, this function is called.
     *
     * It must return its Solidity selector to confirm the token transfer.
     * If any other value is returned or the interface is not implemented by the recipient, the transfer will be reverted.
     *
     * The selector can be obtained in Solidity with `IERC721Receiver.onERC721Received.selector`.
     */
    function onERC721Received(
        address operator,
        address from,
        uint256 tokenId,
        bytes calldata data
    ) external returns (bytes4);
}

// File: lib/openzeppelin-contracts-upgradeable/contracts/token/ERC721/IERC721Upgradeable.sol



// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts (last updated v4.8.0) (token/ERC721/IERC721.sol)

pragma solidity ^0.8.0;

import "../../utils/introspection/IERC165Upgradeable.sol";

/**
 * @dev Required interface of an ERC721 compliant contract.
 */
interface IERC721Upgradeable is IERC165Upgradeable {
    /**
     * @dev Emitted when `tokenId` token is transferred from `from` to `to`.
     */
    event Transfer(address indexed from, address indexed to, uint256 indexed tokenId);

    /**
     * @dev Emitted when `owner` enables `approved` to manage the `tokenId` token.
     */
    event Approval(address indexed owner, address indexed approved, uint256 indexed tokenId);

    /**
     * @dev Emitted when `owner` enables or disables (`approved`) `operator` to manage all of its assets.
     */
    event ApprovalForAll(address indexed owner, address indexed operator, bool approved);

    /**
     * @dev Returns the number of tokens in ``owner``'s account.
     */
    function balanceOf(address owner) external view returns (uint256 balance);

    /**
     * @dev Returns the owner of the `tokenId` token.
     *
     * Requirements:
     *
     * - `tokenId` must exist.
     */
    function ownerOf(uint256 tokenId) external view returns (address owner);

    /**
     * @dev Safely transfers `tokenId` token from `from` to `to`.
     *
     * Requirements:
     *
     * - `from` cannot be the zero address.
     * - `to` cannot be the zero address.
     * - `tokenId` token must exist and be owned by `from`.
     * - If the caller is not `from`, it must be approved to move this token by either {approve} or {setApprovalForAll}.
     * - If `to` refers to a smart contract, it must implement {IERC721Receiver-onERC721Received}, which is called upon a safe transfer.
     *
     * Emits a {Transfer} event.
     */
    function safeTransferFrom(
        address from,
        address to,
        uint256 tokenId,
        bytes calldata data
    ) external;

    /**
     * @dev Safely transfers `tokenId` token from `from` to `to`, checking first that contract recipients
     * are aware of the ERC721 protocol to prevent tokens from being forever locked.
     *
     * Requirements:
     *
     * - `from` cannot be the zero address.
     * - `to` cannot be the zero address.
     * - `tokenId` token must exist and be owned by `from`.
     * - If the caller is not `from`, it must have been allowed to move this token by either {approve} or {setApprovalForAll}.
     * - If `to` refers to a smart contract, it must implement {IERC721Receiver-onERC721Received}, which is called upon a safe transfer.
     *
     * Emits a {Transfer} event.
     */
    function safeTransferFrom(
        address from,
        address to,
        uint256 tokenId
    ) external;

    /**
     * @dev Transfers `tokenId` token from `from` to `to`.
     *
     * WARNING: Note that the caller is responsible to confirm that the recipient is capable of receiving ERC721
     * or else they may be permanently lost. Usage of {safeTransferFrom} prevents loss, though the caller must
     * understand this adds an external call which potentially creates a reentrancy vulnerability.
     *
     * Requirements:
     *
     * - `from` cannot be the zero address.
     * - `to` cannot be the zero address.
     * - `tokenId` token must be owned by `from`.
     * - If the caller is not `from`, it must be approved to move this token by either {approve} or {setApprovalForAll}.
     *
     * Emits a {Transfer} event.
     */
    function transferFrom(
        address from,
        address to,
        uint256 tokenId
    ) external;

    /**
     * @dev Gives permission to `to` to transfer `tokenId` token to another account.
     * The approval is cleared when the token is transferred.
     *
     * Only a single account can be approved at a time, so approving the zero address clears previous approvals.
     *
     * Requirements:
     *
     * - The caller must own the token or be an approved operator.
     * - `tokenId` must exist.
     *
     * Emits an {Approval} event.
     */
    function approve(address to, uint256 tokenId) external;

    /**
     * @dev Approve or remove `operator` as an operator for the caller.
     * Operators can call {transferFrom} or {safeTransferFrom} for any token owned by the caller.
     *
     * Requirements:
     *
     * - The `operator` cannot be the caller.
     *
     * Emits an {ApprovalForAll} event.
     */
    function setApprovalForAll(address operator, bool _approved) external;

    /**
     * @dev Returns the account approved for `tokenId` token.
     *
     * Requirements:
     *
     * - `tokenId` must exist.
     */
    function getApproved(uint256 tokenId) external view returns (address operator);

    /**
     * @dev Returns if the `operator` is allowed to manage all of the assets of `owner`.
     *
     * See {setApprovalForAll}
     */
    function isApprovedForAll(address owner, address operator) external view returns (bool);
}

// File: lib/openzeppelin-contracts-upgradeable/contracts/token/ERC721/extensions/IERC721MetadataUpgradeable.sol



// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts v4.4.1 (token/ERC721/extensions/IERC721Metadata.sol)

pragma solidity ^0.8.0;

import "../IERC721Upgradeable.sol";

/**
 * @title ERC-721 Non-Fungible Token Standard, optional metadata extension
 * @dev See https://eips.ethereum.org/EIPS/eip-721
 */
interface IERC721MetadataUpgradeable is IERC721Upgradeable {
    /**
     * @dev Returns the token collection name.
     */
    function name() external view returns (string memory);

    /**
     * @dev Returns the token collection symbol.
     */
    function symbol() external view returns (string memory);

    /**
     * @dev Returns the Uniform Resource Identifier (URI) for `tokenId` token.
     */
    function tokenURI(uint256 tokenId) external view returns (string memory);
}

// File: lib/openzeppelin-contracts-upgradeable/contracts/utils/AddressUpgradeable.sol



// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts (last updated v4.8.0) (utils/Address.sol)

pragma solidity ^0.8.1;

/**
 * @dev Collection of functions related to the address type
 */
library AddressUpgradeable {
    /**
     * @dev Returns true if `account` is a contract.
     *
     * [IMPORTANT]
     * ====
     * It is unsafe to assume that an address for which this function returns
     * false is an externally-owned account (EOA) and not a contract.
     *
     * Among others, `isContract` will return false for the following
     * types of addresses:
     *
     *  - an externally-owned account
     *  - a contract in construction
     *  - an address where a contract will be created
     *  - an address where a contract lived, but was destroyed
     * ====
     *
     * [IMPORTANT]
     * ====
     * You shouldn't rely on `isContract` to protect against flash loan attacks!
     *
     * Preventing calls from contracts is highly discouraged. It breaks composability, breaks support for smart wallets
     * like Gnosis Safe, and does not provide security since it can be circumvented by calling from a contract
     * constructor.
     * ====
     */
    function isContract(address account) internal view returns (bool) {
        // This method relies on extcodesize/address.code.length, which returns 0
        // for contracts in construction, since the code is only stored at the end
        // of the constructor execution.

        return account.code.length > 0;
    }

    /**
     * @dev Replacement for Solidity's `transfer`: sends `amount` wei to
     * `recipient`, forwarding all available gas and reverting on errors.
     *
     * https://eips.ethereum.org/EIPS/eip-1884[EIP1884] increases the gas cost
     * of certain opcodes, possibly making contracts go over the 2300 gas limit
     * imposed by `transfer`, making them unable to receive funds via
     * `transfer`. {sendValue} removes this limitation.
     *
     * https://diligence.consensys.net/posts/2019/09/stop-using-soliditys-transfer-now/[Learn more].
     *
     * IMPORTANT: because control is transferred to `recipient`, care must be
     * taken to not create reentrancy vulnerabilities. Consider using
     * {ReentrancyGuard} or the
     * https://solidity.readthedocs.io/en/v0.5.11/security-considerations.html#use-the-checks-effects-interactions-pattern[checks-effects-interactions pattern].
     */
    function sendValue(address payable recipient, uint256 amount) internal {
        require(address(this).balance >= amount, "Address: insufficient balance");

        (bool success, ) = recipient.call{value: amount}("");
        require(success, "Address: unable to send value, recipient may have reverted");
    }

    /**
     * @dev Performs a Solidity function call using a low level `call`. A
     * plain `call` is an unsafe replacement for a function call: use this
     * function instead.
     *
     * If `target` reverts with a revert reason, it is bubbled up by this
     * function (like regular Solidity function calls).
     *
     * Returns the raw returned data. To convert to the expected return value,
     * use https://solidity.readthedocs.io/en/latest/units-and-global-variables.html?highlight=abi.decode#abi-encoding-and-decoding-functions[`abi.decode`].
     *
     * Requirements:
     *
     * - `target` must be a contract.
     * - calling `target` with `data` must not revert.
     *
     * _Available since v3.1._
     */
    function functionCall(address target, bytes memory data) internal returns (bytes memory) {
        return functionCallWithValue(target, data, 0, "Address: low-level call failed");
    }

    /**
     * @dev Same as {xref-Address-functionCall-address-bytes-}[`functionCall`], but with
     * `errorMessage` as a fallback revert reason when `target` reverts.
     *
     * _Available since v3.1._
     */
    function functionCall(
        address target,
        bytes memory data,
        string memory errorMessage
    ) internal returns (bytes memory) {
        return functionCallWithValue(target, data, 0, errorMessage);
    }

    /**
     * @dev Same as {xref-Address-functionCall-address-bytes-}[`functionCall`],
     * but also transferring `value` wei to `target`.
     *
     * Requirements:
     *
     * - the calling contract must have an ETH balance of at least `value`.
     * - the called Solidity function must be `payable`.
     *
     * _Available since v3.1._
     */
    function functionCallWithValue(
        address target,
        bytes memory data,
        uint256 value
    ) internal returns (bytes memory) {
        return functionCallWithValue(target, data, value, "Address: low-level call with value failed");
    }

    /**
     * @dev Same as {xref-Address-functionCallWithValue-address-bytes-uint256-}[`functionCallWithValue`], but
     * with `errorMessage` as a fallback revert reason when `target` reverts.
     *
     * _Available since v3.1._
     */
    function functionCallWithValue(
        address target,
        bytes memory data,
        uint256 value,
        string memory errorMessage
    ) internal returns (bytes memory) {
        require(address(this).balance >= value, "Address: insufficient balance for call");
        (bool success, bytes memory returndata) = target.call{value: value}(data);
        return verifyCallResultFromTarget(target, success, returndata, errorMessage);
    }

    /**
     * @dev Same as {xref-Address-functionCall-address-bytes-}[`functionCall`],
     * but performing a static call.
     *
     * _Available since v3.3._
     */
    function functionStaticCall(address target, bytes memory data) internal view returns (bytes memory) {
        return functionStaticCall(target, data, "Address: low-level static call failed");
    }

    /**
     * @dev Same as {xref-Address-functionCall-address-bytes-string-}[`functionCall`],
     * but performing a static call.
     *
     * _Available since v3.3._
     */
    function functionStaticCall(
        address target,
        bytes memory data,
        string memory errorMessage
    ) internal view returns (bytes memory) {
        (bool success, bytes memory returndata) = target.staticcall(data);
        return verifyCallResultFromTarget(target, success, returndata, errorMessage);
    }

    /**
     * @dev Tool to verify that a low level call to smart-contract was successful, and revert (either by bubbling
     * the revert reason or using the provided one) in case of unsuccessful call or if target was not a contract.
     *
     * _Available since v4.8._
     */
    function verifyCallResultFromTarget(
        address target,
        bool success,
        bytes memory returndata,
        string memory errorMessage
    ) internal view returns (bytes memory) {
        if (success) {
            if (returndata.length == 0) {
                // only check isContract if the call was successful and the return data is empty
                // otherwise we already know that it was a contract
                require(isContract(target), "Address: call to non-contract");
            }
            return returndata;
        } else {
            _revert(returndata, errorMessage);
        }
    }

    /**
     * @dev Tool to verify that a low level call was successful, and revert if it wasn't, either by bubbling the
     * revert reason or using the provided one.
     *
     * _Available since v4.3._
     */
    function verifyCallResult(
        bool success,
        bytes memory returndata,
        string memory errorMessage
    ) internal pure returns (bytes memory) {
        if (success) {
            return returndata;
        } else {
            _revert(returndata, errorMessage);
        }
    }

    function _revert(bytes memory returndata, string memory errorMessage) private pure {
        // Look for revert reason and bubble it up if present
        if (returndata.length > 0) {
            // The easiest way to bubble the revert reason is using memory via assembly
            /// @solidity memory-safe-assembly
            assembly {
                let returndata_size := mload(returndata)
                revert(add(32, returndata), returndata_size)
            }
        } else {
            revert(errorMessage);
        }
    }
}

// File: lib/openzeppelin-contracts-upgradeable/contracts/utils/ContextUpgradeable.sol



// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts v4.4.1 (utils/Context.sol)

pragma solidity ^0.8.0;
import "../proxy/utils/Initializable.sol";

/**
 * @dev Provides information about the current execution context, including the
 * sender of the transaction and its data. While these are generally available
 * via msg.sender and msg.data, they should not be accessed in such a direct
 * manner, since when dealing with meta-transactions the account sending and
 * paying for execution may not be the actual sender (as far as an application
 * is concerned).
 *
 * This contract is only required for intermediate, library-like contracts.
 */
abstract contract ContextUpgradeable is Initializable {
    function __Context_init() internal onlyInitializing {
    }

    function __Context_init_unchained() internal onlyInitializing {
    }
    function _msgSender() internal view virtual returns (address) {
        return msg.sender;
    }

    function _msgData() internal view virtual returns (bytes calldata) {
        return msg.data;
    }

    /**
     * @dev This empty reserved space is put in place to allow future versions to add new
     * variables without shifting down storage in the inheritance chain.
     * See https://docs.openzeppelin.com/contracts/4.x/upgradeable#storage_gaps
     */
    uint256[50] private __gap;
}

// File: lib/openzeppelin-contracts-upgradeable/contracts/utils/StringsUpgradeable.sol



// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts (last updated v4.8.0) (utils/Strings.sol)

pragma solidity ^0.8.0;

import "./math/MathUpgradeable.sol";

/**
 * @dev String operations.
 */
library StringsUpgradeable {
    bytes16 private constant _SYMBOLS = "0123456789abcdef";
    uint8 private constant _ADDRESS_LENGTH = 20;

    /**
     * @dev Converts a `uint256` to its ASCII `string` decimal representation.
     */
    function toString(uint256 value) internal pure returns (string memory) {
        unchecked {
            uint256 length = MathUpgradeable.log10(value) + 1;
            string memory buffer = new string(length);
            uint256 ptr;
            /// @solidity memory-safe-assembly
            assembly {
                ptr := add(buffer, add(32, length))
            }
            while (true) {
                ptr--;
                /// @solidity memory-safe-assembly
                assembly {
                    mstore8(ptr, byte(mod(value, 10), _SYMBOLS))
                }
                value /= 10;
                if (value == 0) break;
            }
            return buffer;
        }
    }

    /**
     * @dev Converts a `uint256` to its ASCII `string` hexadecimal representation.
     */
    function toHexString(uint256 value) internal pure returns (string memory) {
        unchecked {
            return toHexString(value, MathUpgradeable.log256(value) + 1);
        }
    }

    /**
     * @dev Converts a `uint256` to its ASCII `string` hexadecimal representation with fixed length.
     */
    function toHexString(uint256 value, uint256 length) internal pure returns (string memory) {
        bytes memory buffer = new bytes(2 * length + 2);
        buffer[0] = "0";
        buffer[1] = "x";
        for (uint256 i = 2 * length + 1; i > 1; --i) {
            buffer[i] = _SYMBOLS[value & 0xf];
            value >>= 4;
        }
        require(value == 0, "Strings: hex length insufficient");
        return string(buffer);
    }

    /**
     * @dev Converts an `address` with fixed length of 20 bytes to its not checksummed ASCII `string` hexadecimal representation.
     */
    function toHexString(address addr) internal pure returns (string memory) {
        return toHexString(uint256(uint160(addr)), _ADDRESS_LENGTH);
    }
}

// File: lib/openzeppelin-contracts-upgradeable/contracts/utils/introspection/ERC165Upgradeable.sol



// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts v4.4.1 (utils/introspection/ERC165.sol)

pragma solidity ^0.8.0;

import "./IERC165Upgradeable.sol";
import "../../proxy/utils/Initializable.sol";

/**
 * @dev Implementation of the {IERC165} interface.
 *
 * Contracts that want to implement ERC165 should inherit from this contract and override {supportsInterface} to check
 * for the additional interface id that will be supported. For example:
 *
 * ```solidity
 * function supportsInterface(bytes4 interfaceId) public view virtual override returns (bool) {
 *     return interfaceId == type(MyInterface).interfaceId || super.supportsInterface(interfaceId);
 * }
 * ```
 *
 * Alternatively, {ERC165Storage} provides an easier to use but more expensive implementation.
 */
abstract contract ERC165Upgradeable is Initializable, IERC165Upgradeable {
    function __ERC165_init() internal onlyInitializing {
    }

    function __ERC165_init_unchained() internal onlyInitializing {
    }
    /**
     * @dev See {IERC165-supportsInterface}.
     */
    function supportsInterface(bytes4 interfaceId) public view virtual override returns (bool) {
        return interfaceId == type(IERC165Upgradeable).interfaceId;
    }

    /**
     * @dev This empty reserved space is put in place to allow future versions to add new
     * variables without shifting down storage in the inheritance chain.
     * See https://docs.openzeppelin.com/contracts/4.x/upgradeable#storage_gaps
     */
    uint256[50] private __gap;
}

// File: lib/openzeppelin-contracts-upgradeable/contracts/utils/introspection/IERC165Upgradeable.sol



// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts v4.4.1 (utils/introspection/IERC165.sol)

pragma solidity ^0.8.0;

/**
 * @dev Interface of the ERC165 standard, as defined in the
 * https://eips.ethereum.org/EIPS/eip-165[EIP].
 *
 * Implementers can declare support of contract interfaces, which can then be
 * queried by others ({ERC165Checker}).
 *
 * For an implementation, see {ERC165}.
 */
interface IERC165Upgradeable {
    /**
     * @dev Returns true if this contract implements the interface defined by
     * `interfaceId`. See the corresponding
     * https://eips.ethereum.org/EIPS/eip-165#how-interfaces-are-identified[EIP section]
     * to learn more about how these ids are created.
     *
     * This function call must use less than 30 000 gas.
     */
    function supportsInterface(bytes4 interfaceId) external view returns (bool);
}

// File: lib/openzeppelin-contracts-upgradeable/contracts/utils/math/MathUpgradeable.sol



// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts (last updated v4.8.0) (utils/math/Math.sol)

pragma solidity ^0.8.0;

/**
 * @dev Standard math utilities missing in the Solidity language.
 */
library MathUpgradeable {
    enum Rounding {
        Down, // Toward negative infinity
        Up, // Toward infinity
        Zero // Toward zero
    }

    /**
     * @dev Returns the largest of two numbers.
     */
    function max(uint256 a, uint256 b) internal pure returns (uint256) {
        return a > b ? a : b;
    }

    /**
     * @dev Returns the smallest of two numbers.
     */
    function min(uint256 a, uint256 b) internal pure returns (uint256) {
        return a < b ? a : b;
    }

    /**
     * @dev Returns the average of two numbers. The result is rounded towards
     * zero.
     */
    function average(uint256 a, uint256 b) internal pure returns (uint256) {
        // (a + b) / 2 can overflow.
        return (a & b) + (a ^ b) / 2;
    }

    /**
     * @dev Returns the ceiling of the division of two numbers.
     *
     * This differs from standard division with `/` in that it rounds up instead
     * of rounding down.
     */
    function ceilDiv(uint256 a, uint256 b) internal pure returns (uint256) {
        // (a + b - 1) / b can overflow on addition, so we distribute.
        return a == 0 ? 0 : (a - 1) / b + 1;
    }

    /**
     * @notice Calculates floor(x * y / denominator) with full precision. Throws if result overflows a uint256 or denominator == 0
     * @dev Original credit to Remco Bloemen under MIT license (https://xn--2-umb.com/21/muldiv)
     * with further edits by Uniswap Labs also under MIT license.
     */
    function mulDiv(
        uint256 x,
        uint256 y,
        uint256 denominator
    ) internal pure returns (uint256 result) {
        unchecked {
            // 512-bit multiply [prod1 prod0] = x * y. Compute the product mod 2^256 and mod 2^256 - 1, then use
            // use the Chinese Remainder Theorem to reconstruct the 512 bit result. The result is stored in two 256
            // variables such that product = prod1 * 2^256 + prod0.
            uint256 prod0; // Least significant 256 bits of the product
            uint256 prod1; // Most significant 256 bits of the product
            assembly {
                let mm := mulmod(x, y, not(0))
                prod0 := mul(x, y)
                prod1 := sub(sub(mm, prod0), lt(mm, prod0))
            }

            // Handle non-overflow cases, 256 by 256 division.
            if (prod1 == 0) {
                return prod0 / denominator;
            }

            // Make sure the result is less than 2^256. Also prevents denominator == 0.
            require(denominator > prod1);

            ///////////////////////////////////////////////
            // 512 by 256 division.
            ///////////////////////////////////////////////

            // Make division exact by subtracting the remainder from [prod1 prod0].
            uint256 remainder;
            assembly {
                // Compute remainder using mulmod.
                remainder := mulmod(x, y, denominator)

                // Subtract 256 bit number from 512 bit number.
                prod1 := sub(prod1, gt(remainder, prod0))
                prod0 := sub(prod0, remainder)
            }

            // Factor powers of two out of denominator and compute largest power of two divisor of denominator. Always >= 1.
            // See https://cs.stackexchange.com/q/138556/92363.

            // Does not overflow because the denominator cannot be zero at this stage in the function.
            uint256 twos = denominator & (~denominator + 1);
            assembly {
                // Divide denominator by twos.
                denominator := div(denominator, twos)

                // Divide [prod1 prod0] by twos.
                prod0 := div(prod0, twos)

                // Flip twos such that it is 2^256 / twos. If twos is zero, then it becomes one.
                twos := add(div(sub(0, twos), twos), 1)
            }

            // Shift in bits from prod1 into prod0.
            prod0 |= prod1 * twos;

            // Invert denominator mod 2^256. Now that denominator is an odd number, it has an inverse modulo 2^256 such
            // that denominator * inv = 1 mod 2^256. Compute the inverse by starting with a seed that is correct for
            // four bits. That is, denominator * inv = 1 mod 2^4.
            uint256 inverse = (3 * denominator) ^ 2;

            // Use the Newton-Raphson iteration to improve the precision. Thanks to Hensel's lifting lemma, this also works
            // in modular arithmetic, doubling the correct bits in each step.
            inverse *= 2 - denominator * inverse; // inverse mod 2^8
            inverse *= 2 - denominator * inverse; // inverse mod 2^16
            inverse *= 2 - denominator * inverse; // inverse mod 2^32
            inverse *= 2 - denominator * inverse; // inverse mod 2^64
            inverse *= 2 - denominator * inverse; // inverse mod 2^128
            inverse *= 2 - denominator * inverse; // inverse mod 2^256

            // Because the division is now exact we can divide by multiplying with the modular inverse of denominator.
            // This will give us the correct result modulo 2^256. Since the preconditions guarantee that the outcome is
            // less than 2^256, this is the final result. We don't need to compute the high bits of the result and prod1
            // is no longer required.
            result = prod0 * inverse;
            return result;
        }
    }

    /**
     * @notice Calculates x * y / denominator with full precision, following the selected rounding direction.
     */
    function mulDiv(
        uint256 x,
        uint256 y,
        uint256 denominator,
        Rounding rounding
    ) internal pure returns (uint256) {
        uint256 result = mulDiv(x, y, denominator);
        if (rounding == Rounding.Up && mulmod(x, y, denominator) > 0) {
            result += 1;
        }
        return result;
    }

    /**
     * @dev Returns the square root of a number. If the number is not a perfect square, the value is rounded down.
     *
     * Inspired by Henry S. Warren, Jr.'s "Hacker's Delight" (Chapter 11).
     */
    function sqrt(uint256 a) internal pure returns (uint256) {
        if (a == 0) {
            return 0;
        }

        // For our first guess, we get the biggest power of 2 which is smaller than the square root of the target.
        //
        // We know that the "msb" (most significant bit) of our target number `a` is a power of 2 such that we have
        // `msb(a) <= a < 2*msb(a)`. This value can be written `msb(a)=2**k` with `k=log2(a)`.
        //
        // This can be rewritten `2**log2(a) <= a < 2**(log2(a) + 1)`
        // → `sqrt(2**k) <= sqrt(a) < sqrt(2**(k+1))`
        // → `2**(k/2) <= sqrt(a) < 2**((k+1)/2) <= 2**(k/2 + 1)`
        //
        // Consequently, `2**(log2(a) / 2)` is a good first approximation of `sqrt(a)` with at least 1 correct bit.
        uint256 result = 1 << (log2(a) >> 1);

        // At this point `result` is an estimation with one bit of precision. We know the true value is a uint128,
        // since it is the square root of a uint256. Newton's method converges quadratically (precision doubles at
        // every iteration). We thus need at most 7 iteration to turn our partial result with one bit of precision
        // into the expected uint128 result.
        unchecked {
            result = (result + a / result) >> 1;
            result = (result + a / result) >> 1;
            result = (result + a / result) >> 1;
            result = (result + a / result) >> 1;
            result = (result + a / result) >> 1;
            result = (result + a / result) >> 1;
            result = (result + a / result) >> 1;
            return min(result, a / result);
        }
    }

    /**
     * @notice Calculates sqrt(a), following the selected rounding direction.
     */
    function sqrt(uint256 a, Rounding rounding) internal pure returns (uint256) {
        unchecked {
            uint256 result = sqrt(a);
            return result + (rounding == Rounding.Up && result * result < a ? 1 : 0);
        }
    }

    /**
     * @dev Return the log in base 2, rounded down, of a positive value.
     * Returns 0 if given 0.
     */
    function log2(uint256 value) internal pure returns (uint256) {
        uint256 result = 0;
        unchecked {
            if (value >> 128 > 0) {
                value >>= 128;
                result += 128;
            }
            if (value >> 64 > 0) {
                value >>= 64;
                result += 64;
            }
            if (value >> 32 > 0) {
                value >>= 32;
                result += 32;
            }
            if (value >> 16 > 0) {
                value >>= 16;
                result += 16;
            }
            if (value >> 8 > 0) {
                value >>= 8;
                result += 8;
            }
            if (value >> 4 > 0) {
                value >>= 4;
                result += 4;
            }
            if (value >> 2 > 0) {
                value >>= 2;
                result += 2;
            }
            if (value >> 1 > 0) {
                result += 1;
            }
        }
        return result;
    }

    /**
     * @dev Return the log in base 2, following the selected rounding direction, of a positive value.
     * Returns 0 if given 0.
     */
    function log2(uint256 value, Rounding rounding) internal pure returns (uint256) {
        unchecked {
            uint256 result = log2(value);
            return result + (rounding == Rounding.Up && 1 << result < value ? 1 : 0);
        }
    }

    /**
     * @dev Return the log in base 10, rounded down, of a positive value.
     * Returns 0 if given 0.
     */
    function log10(uint256 value) internal pure returns (uint256) {
        uint256 result = 0;
        unchecked {
            if (value >= 10**64) {
                value /= 10**64;
                result += 64;
            }
            if (value >= 10**32) {
                value /= 10**32;
                result += 32;
            }
            if (value >= 10**16) {
                value /= 10**16;
                result += 16;
            }
            if (value >= 10**8) {
                value /= 10**8;
                result += 8;
            }
            if (value >= 10**4) {
                value /= 10**4;
                result += 4;
            }
            if (value >= 10**2) {
                value /= 10**2;
                result += 2;
            }
            if (value >= 10**1) {
                result += 1;
            }
        }
        return result;
    }

    /**
     * @dev Return the log in base 10, following the selected rounding direction, of a positive value.
     * Returns 0 if given 0.
     */
    function log10(uint256 value, Rounding rounding) internal pure returns (uint256) {
        unchecked {
            uint256 result = log10(value);
            return result + (rounding == Rounding.Up && 10**result < value ? 1 : 0);
        }
    }

    /**
     * @dev Return the log in base 256, rounded down, of a positive value.
     * Returns 0 if given 0.
     *
     * Adding one to the result gives the number of pairs of hex symbols needed to represent `value` as a hex string.
     */
    function log256(uint256 value) internal pure returns (uint256) {
        uint256 result = 0;
        unchecked {
            if (value >> 128 > 0) {
                value >>= 128;
                result += 16;
            }
            if (value >> 64 > 0) {
                value >>= 64;
                result += 8;
            }
            if (value >> 32 > 0) {
                value >>= 32;
                result += 4;
            }
            if (value >> 16 > 0) {
                value >>= 16;
                result += 2;
            }
            if (value >> 8 > 0) {
                result += 1;
            }
        }
        return result;
    }

    /**
     * @dev Return the log in base 10, following the selected rounding direction, of a positive value.
     * Returns 0 if given 0.
     */
    function log256(uint256 value, Rounding rounding) internal pure returns (uint256) {
        unchecked {
            uint256 result = log256(value);
            return result + (rounding == Rounding.Up && 1 << (result * 8) < value ? 1 : 0);
        }
    }
}

// File: lib/openzeppelin-contracts/contracts/access/Ownable.sol



// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts (last updated v4.7.0) (access/Ownable.sol)

pragma solidity ^0.8.0;

import "../utils/Context.sol";

/**
 * @dev Contract module which provides a basic access control mechanism, where
 * there is an account (an owner) that can be granted exclusive access to
 * specific functions.
 *
 * By default, the owner account will be the one that deploys the contract. This
 * can later be changed with {transferOwnership}.
 *
 * This module is used through inheritance. It will make available the modifier
 * `onlyOwner`, which can be applied to your functions to restrict their use to
 * the owner.
 */
abstract contract Ownable is Context {
    address private _owner;

    event OwnershipTransferred(address indexed previousOwner, address indexed newOwner);

    /**
     * @dev Initializes the contract setting the deployer as the initial owner.
     */
    constructor() {
        _transferOwnership(_msgSender());
    }

    /**
     * @dev Throws if called by any account other than the owner.
     */
    modifier onlyOwner() {
        _checkOwner();
        _;
    }

    /**
     * @dev Returns the address of the current owner.
     */
    function owner() public view virtual returns (address) {
        return _owner;
    }

    /**
     * @dev Throws if the sender is not the owner.
     */
    function _checkOwner() internal view virtual {
        require(owner() == _msgSender(), "Ownable: caller is not the owner");
    }

    /**
     * @dev Leaves the contract without owner. It will not be possible to call
     * `onlyOwner` functions anymore. Can only be called by the current owner.
     *
     * NOTE: Renouncing ownership will leave the contract without an owner,
     * thereby removing any functionality that is only available to the owner.
     */
    function renounceOwnership() public virtual onlyOwner {
        _transferOwnership(address(0));
    }

    /**
     * @dev Transfers ownership of the contract to a new account (`newOwner`).
     * Can only be called by the current owner.
     */
    function transferOwnership(address newOwner) public virtual onlyOwner {
        require(newOwner != address(0), "Ownable: new owner is the zero address");
        _transferOwnership(newOwner);
    }

    /**
     * @dev Transfers ownership of the contract to a new account (`newOwner`).
     * Internal function without access restriction.
     */
    function _transferOwnership(address newOwner) internal virtual {
        address oldOwner = _owner;
        _owner = newOwner;
        emit OwnershipTransferred(oldOwner, newOwner);
    }
}

// File: lib/openzeppelin-contracts/contracts/proxy/Clones.sol



// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts (last updated v4.8.0) (proxy/Clones.sol)

pragma solidity ^0.8.0;

/**
 * @dev https://eips.ethereum.org/EIPS/eip-1167[EIP 1167] is a standard for
 * deploying minimal proxy contracts, also known as "clones".
 *
 * > To simply and cheaply clone contract functionality in an immutable way, this standard specifies
 * > a minimal bytecode implementation that delegates all calls to a known, fixed address.
 *
 * The library includes functions to deploy a proxy using either `create` (traditional deployment) or `create2`
 * (salted deterministic deployment). It also includes functions to predict the addresses of clones deployed using the
 * deterministic method.
 *
 * _Available since v3.4._
 */
library Clones {
    /**
     * @dev Deploys and returns the address of a clone that mimics the behaviour of `implementation`.
     *
     * This function uses the create opcode, which should never revert.
     */
    function clone(address implementation) internal returns (address instance) {
        /// @solidity memory-safe-assembly
        assembly {
            // Cleans the upper 96 bits of the `implementation` word, then packs the first 3 bytes
            // of the `implementation` address with the bytecode before the address.
            mstore(0x00, or(shr(0xe8, shl(0x60, implementation)), 0x3d602d80600a3d3981f3363d3d373d3d3d363d73000000))
            // Packs the remaining 17 bytes of `implementation` with the bytecode after the address.
            mstore(0x20, or(shl(0x78, implementation), 0x5af43d82803e903d91602b57fd5bf3))
            instance := create(0, 0x09, 0x37)
        }
        require(instance != address(0), "ERC1167: create failed");
    }

    /**
     * @dev Deploys and returns the address of a clone that mimics the behaviour of `implementation`.
     *
     * This function uses the create2 opcode and a `salt` to deterministically deploy
     * the clone. Using the same `implementation` and `salt` multiple time will revert, since
     * the clones cannot be deployed twice at the same address.
     */
    function cloneDeterministic(address implementation, bytes32 salt) internal returns (address instance) {
        /// @solidity memory-safe-assembly
        assembly {
            // Cleans the upper 96 bits of the `implementation` word, then packs the first 3 bytes
            // of the `implementation` address with the bytecode before the address.
            mstore(0x00, or(shr(0xe8, shl(0x60, implementation)), 0x3d602d80600a3d3981f3363d3d373d3d3d363d73000000))
            // Packs the remaining 17 bytes of `implementation` with the bytecode after the address.
            mstore(0x20, or(shl(0x78, implementation), 0x5af43d82803e903d91602b57fd5bf3))
            instance := create2(0, 0x09, 0x37, salt)
        }
        require(instance != address(0), "ERC1167: create2 failed");
    }

    /**
     * @dev Computes the address of a clone deployed using {Clones-cloneDeterministic}.
     */
    function predictDeterministicAddress(
        address implementation,
        bytes32 salt,
        address deployer
    ) internal pure returns (address predicted) {
        /// @solidity memory-safe-assembly
        assembly {
            let ptr := mload(0x40)
            mstore(add(ptr, 0x38), deployer)
            mstore(add(ptr, 0x24), 0x5af43d82803e903d91602b57fd5bf3ff)
            mstore(add(ptr, 0x14), implementation)
            mstore(ptr, 0x3d602d80600a3d3981f3363d3d373d3d3d363d73)
            mstore(add(ptr, 0x58), salt)
            mstore(add(ptr, 0x78), keccak256(add(ptr, 0x0c), 0x37))
            predicted := keccak256(add(ptr, 0x43), 0x55)
        }
    }

    /**
     * @dev Computes the address of a clone deployed using {Clones-cloneDeterministic}.
     */
    function predictDeterministicAddress(address implementation, bytes32 salt)
        internal
        view
        returns (address predicted)
    {
        return predictDeterministicAddress(implementation, salt, address(this));
    }
}

// File: lib/openzeppelin-contracts/contracts/utils/Context.sol



// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts v4.4.1 (utils/Context.sol)

pragma solidity ^0.8.0;

/**
 * @dev Provides information about the current execution context, including the
 * sender of the transaction and its data. While these are generally available
 * via msg.sender and msg.data, they should not be accessed in such a direct
 * manner, since when dealing with meta-transactions the account sending and
 * paying for execution may not be the actual sender (as far as an application
 * is concerned).
 *
 * This contract is only required for intermediate, library-like contracts.
 */
abstract contract Context {
    function _msgSender() internal view virtual returns (address) {
        return msg.sender;
    }

    function _msgData() internal view virtual returns (bytes calldata) {
        return msg.data;
    }
}

// File: lib/solady/src/utils/LibBit.sol



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

/// @notice Library for bit twiddling 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 {
    /// @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.
    /// Equivalent to `log2(x)`, but without reverting for the zero case.
    function fls(uint256 x) internal pure returns (uint256 r) {
        /// @solidity memory-safe-assembly
        assembly {
            r := shl(8, iszero(x))

            r := or(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))))

            // For the remaining 32 bits, use a De Bruijn lookup.
            x := shr(r, x)
            x := or(x, shr(1, x))
            x := or(x, shr(2, x))
            x := or(x, shr(4, x))
            x := or(x, shr(8, x))
            x := or(x, shr(16, x))

            // forgefmt: disable-next-item
            r := or(r, byte(shr(251, mul(x, shl(224, 0x07c4acdd))),
                0x0009010a0d15021d0b0e10121619031e080c141c0f111807131b17061a05041f))
        }
    }

    /// @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 {
            let t := add(iszero(x), 255)

            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))))

            // For the remaining 32 bits, use a De Bruijn lookup.
            x := shr(r, x)
            x := or(x, shr(1, x))
            x := or(x, shr(2, x))
            x := or(x, shr(4, x))
            x := or(x, shr(8, x))
            x := or(x, shr(16, x))

            // forgefmt: disable-next-item
            r := sub(t, or(r, byte(shr(251, mul(x, shl(224, 0x07c4acdd))),
                0x0009010a0d15021d0b0e10121619031e080c141c0f111807131b17061a05041f)))
        }
    }

    /// @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 {
            r := shl(8, iszero(x))

            // Isolate the least significant bit.
            x := and(x, add(not(x), 1))

            r := or(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))))

            // For the remaining 32 bits, use a De Bruijn lookup.
            // forgefmt: disable-next-item
            r := or(r, byte(shr(251, mul(shr(r, x), shl(224, 0x077cb531))), 
                0x00011c021d0e18031e16140f191104081f1b0d17151310071a0c12060b050a09))
        }
    }

    /// @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)))
        }
    }
}

// File: lib/solady/src/utils/LibBitmap.sol



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

import "./LibBit.sol";

/// @notice Efficient bitmap library for mapping integers to single bit 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(0x00, shr(8, index))
            mstore(0x20, bitmap.slot)
            let storageSlot := keccak256(0x00, 0x40)
            let shift := and(index, 0xff)
            let storageValue := sload(storageSlot)

            let mask := shl(shift, 1)
            storageValue := xor(storageValue, mask)
            // 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 := iszero(iszero(and(storageValue, mask)))
            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 := xor(0xff, and(0xff, before)) // `256 - (255 & before) - 1`.
            bucketBits := shr(offset, shl(offset, sload(keccak256(0x00, 0x40))))
            if iszero(bucketBits) {
                for {} bucket {} {
                    bucket := sub(bucket, 1)
                    mstore(0x00, bucket)
                    bucketBits := sload(keccak256(0x00, 0x40))
                    if bucketBits { break }
                }
            }
        }
        if (bucketBits != 0) {
            setBitIndex = (bucket << 8) | LibBit.fls(bucketBits);
            /// @solidity memory-safe-assembly
            assembly {
                setBitIndex := or(setBitIndex, sub(0, gt(setBitIndex, before)))
            }
        }
    }
}

// File: src/WhiteWhale.sol



// SPDX-License-Identifier: UNLICENSED
pragma solidity ^0.8.13;

import "forge-std/Script.sol";

import "openzeppelin-contracts-upgradeable/token/ERC721/ERC721Upgradeable.sol";
import "openzeppelin-contracts-upgradeable/token/ERC721/IERC721ReceiverUpgradeable.sol";
import "openzeppelin-contracts-upgradeable/token/ERC721/IERC721Upgradeable.sol";
import "openzeppelin-contracts-upgradeable/access/OwnableUpgradeable.sol";
import "openzeppelin-contracts-upgradeable/utils/StringsUpgradeable.sol";

import "solady/utils/LibBitmap.sol";

contract WhiteWhale is
    ERC721Upgradeable,
    OwnableUpgradeable,
    IERC721ReceiverUpgradeable
{
    string baseURI;

    struct Gift {
        uint256 tokenId;
        address collection;
        address depositor;
        uint8 stealCounter;
    }

    // the pool of gifts that have been deposited
    Gift[] public gifts;

    // Bitmap from giftPoolIndex to unwrapped status
    LibBitmap.Bitmap isClaimed;

    // maps tokenId to giftPoolIndex + 1
    mapping(uint256 => uint256) public claimedGifts;

    struct TurnState {
        uint120 currentTurn;
        uint120 currentSteal;
        uint8 stealCounter;
    }

    TurnState public turnState;

    enum GameState {
        NOT_STARTED,
        IN_PROGRESS,
        COMPLETED,
        BORKED
    }

    GameState public gameState;

    event GameStarted();
    event GameEnded();
    event GiftDeposited(address depositor, address collection, uint256 tokenId);
    event GiftClaimed(address claimer, uint256 giftIndex);
    event GiftStolen(address stealer, address victim, uint256 giftIndex);
    event GiftWithdrawn(
        address withdrawer,
        address collection,
        uint256 tokenId
    );

    function initialize(
        string memory name,
        string memory symbol,
        string memory baseURI_,
        address owner
    ) public initializer {
        __ERC721_init(name, symbol);
        _transferOwnership(owner);
        baseURI = baseURI_;
    }

    function _baseURI() internal view virtual override returns (string memory) {
        return
            string(
                abi.encodePacked(
                    baseURI,
                    StringsUpgradeable.toHexString(address(this)),
                    "/"
                )
            );
    }

    // deposit
    function onERC721Received(
        address,
        address from,
        uint256 tokenId,
        bytes calldata
    ) external returns (bytes4) {
        require(gameState == GameState.NOT_STARTED, "Game has already started");
        require(balanceOf(from) == 0, "Already deposited gift");

        gifts.push(Gift(tokenId, msg.sender, from, 0));

        _safeMint(from, gifts.length);

        emit GiftDeposited(from, msg.sender, tokenId);

        return IERC721ReceiverUpgradeable.onERC721Received.selector;
    }

    function _beforeTokenTransfer(
        address from,
        address to,
        uint256 firstTokenId,
        uint256 batchSize
    ) internal virtual override {
        if (from != address(0)) {
            require(
                gameState == GameState.COMPLETED,
                "Tokens are locked until game is over"
            );
        }

        super._beforeTokenTransfer(from, to, firstTokenId, batchSize);
    }

    // start game
    function start() public onlyOwner {
        require(gameState == GameState.NOT_STARTED, "Game already started");

        turnState.currentTurn = 1;
        gameState = GameState.IN_PROGRESS;

        emit GameStarted();
    }

    // end game
    function end() public onlyOwner {
        require(gameState == GameState.IN_PROGRESS, "Game is not in progress");
        require(
            turnState.currentTurn == gifts.length + 1,
            "Game has not been completed"
        );

        gameState = GameState.COMPLETED;
        emit GameEnded();
    }

    function bork() public onlyOwner {
        gameState = GameState.COMPLETED;

        for (uint256 i = 0; i < gifts.length; i++) {
            setGiftIndex(i + 1, i);
        }
    }

    // withdraw token
    function withdraw(uint256 tokenId) external {
        require(gameState == GameState.COMPLETED, "Game is not finished");

        uint256 giftIndex = claimedGifts[tokenId] - 1;

        Gift memory gift = gifts[giftIndex];

        IERC721Upgradeable(gift.collection).safeTransferFrom(
            address(this),
            ownerOf(tokenId),
            gift.tokenId
        );

        emit GiftWithdrawn(ownerOf(tokenId), gift.collection, gift.tokenId);
    }

    function getCurrentTurn() public view returns (uint256 tokenId) {
        if (turnState.currentSteal > 0) {
            return turnState.currentSteal;
        }

        return turnState.currentTurn;
    }

    function getAllGifts() public view returns (Gift[] memory) {
        return gifts;
    }

    function getIsClaimedByIndex(uint256 giftIndex) public view returns (bool) {
        return LibBitmap.get(isClaimed, giftIndex);
    }

    function getGiftByIndex(uint256 giftIndex)
        public
        view
        returns (Gift memory)
    {
        return gifts[giftIndex];
    }

    function getGiftByTokenId(uint256 tokenId)
        public
        view
        returns (Gift memory)
    {
        if (!hasClaimedGift(tokenId)) return Gift(0, address(0), address(0), 0);
        uint256 giftIndex = getGiftIndex(tokenId);
        return gifts[giftIndex];
    }

    function getTokenIdByGiftIndex(uint256 giftIndex)
        public
        view
        returns (uint256)
    {
        for (uint256 tokenId = 1; tokenId < gifts.length + 1; tokenId++) {
            if (giftIndex == getGiftIndex(tokenId)) {
                return tokenId;
            }
        }

        return 0;
    }

    function hasClaimedGift(uint256 tokenId) public view returns (bool) {
        return claimedGifts[tokenId] != 0;
    }

    function getGiftIndex(uint256 tokenId) public view returns (uint256) {
        if (claimedGifts[tokenId] == 0) return 0;
        return claimedGifts[tokenId] - 1;
    }

    function setGiftIndex(uint256 tokenId, uint256 giftIndex) internal {
        claimedGifts[tokenId] = giftIndex + 1;
    }

    // claimGift
    function claimGift(uint256 tokenId, uint256 targetGiftIndex) external {
        require(gameState == GameState.IN_PROGRESS, "Game is not in progress");
        require(!hasClaimedGift(tokenId), "Already unwrapped gift");
        require(ownerOf(tokenId) == msg.sender, "Not your token");
        require(tokenId == getCurrentTurn(), "Not your turn");
        require(
            !LibBitmap.get(isClaimed, targetGiftIndex),
            "Gift has already been claimed"
        );
        require(
            getGiftByIndex(targetGiftIndex).depositor != msg.sender,
            "Cannot claim your own gift"
        );

        setGiftIndex(tokenId, targetGiftIndex);
        LibBitmap.set(isClaimed, targetGiftIndex);

        turnState = TurnState(turnState.currentTurn + 1, 0, 0);

        emit GiftClaimed(msg.sender, targetGiftIndex);
    }

    // stealGift
    function stealGift(uint256 tokenId, uint256 targetTokenId) external {
        require(gameState == GameState.IN_PROGRESS, "Game is not in progress");
        require(!hasClaimedGift(tokenId), "Already unwrapped gift");
        require(
            turnState.stealCounter < 3,
            "Cannot steal more than three times in a row"
        );

        address giftHolder = ownerOf(targetTokenId);
        uint256 targetGiftIndex = getGiftIndex(targetTokenId);

        require(giftHolder != msg.sender, "Cannot steal gift from yourself");
        require(hasClaimedGift(targetTokenId), "No gift to steal");
        require(
            gifts[targetGiftIndex].stealCounter < 3,
            "Gift cannot be stolen more than three times"
        );
        require(
            gifts[targetGiftIndex].depositor != msg.sender,
            "Cannot steal your own gift"
        );
        require(ownerOf(tokenId) == msg.sender, "Not your turn");
        require(tokenId == getCurrentTurn(), "Not your turn");

        uint256 giftIndex = getGiftIndex(targetTokenId);
        setGiftIndex(tokenId, giftIndex);
        delete claimedGifts[targetTokenId];

        gifts[giftIndex].stealCounter += 1;

        turnState = TurnState(
            turnState.currentTurn,
            uint120(targetTokenId),
            turnState.stealCounter + 1
        );

        emit GiftStolen(msg.sender, giftHolder, giftIndex);
    }
}

// File: src/WhiteWhaleFactory.sol



// SPDX-License-Identifier: UNLICENSED
pragma solidity ^0.8.13;

import "openzeppelin-contracts/proxy/Clones.sol";
import "openzeppelin-contracts/access/Ownable.sol";
import "./WhiteWhale.sol";

contract WhiteWhaleFactory is Ownable {
    address public whiteWhale;
    string public baseURI;

    event GameDeployed(address game);

    constructor(address _whiteWhale, string memory _baseURI) {
        whiteWhale = _whiteWhale;
        baseURI = _baseURI;
    }

    function setWhiteWhale(address newWhiteWhale) public onlyOwner {
        whiteWhale = newWhiteWhale;
    }

    function setBaseURI(string calldata newBaseURI) public onlyOwner {
        baseURI = newBaseURI;
    }

    function deploy(string memory name, string memory symbol)
        external
        returns (address)
    {
        address clone = Clones.clone(whiteWhale);

        WhiteWhale(clone).initialize(name, symbol, baseURI, msg.sender);

        emit GameDeployed(clone);

        return clone;
    }
}