// File: 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;
		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: 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: ECDSA.sol



// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts (last updated v4.8.0) (utils/cryptography/ECDSA.sol)

pragma solidity ^0.8.0;

import "./Strings.sol";

/**
 * @dev Elliptic Curve Digital Signature Algorithm (ECDSA) operations.
 *
 * These functions can be used to verify that a message was signed by the holder
 * of the private keys of a given address.
 */
library ECDSA {
    enum RecoverError {
        NoError,
        InvalidSignature,
        InvalidSignatureLength,
        InvalidSignatureS,
        InvalidSignatureV // Deprecated in v4.8
    }

    function _throwError(RecoverError error) private pure {
        if (error == RecoverError.NoError) {
            return; // no error: do nothing
        } else if (error == RecoverError.InvalidSignature) {
            revert("ECDSA: invalid signature");
        } else if (error == RecoverError.InvalidSignatureLength) {
            revert("ECDSA: invalid signature length");
        } else if (error == RecoverError.InvalidSignatureS) {
            revert("ECDSA: invalid signature 's' value");
        }
    }

    /**
     * @dev Returns the address that signed a hashed message (`hash`) with
     * `signature` or error string. This address can then be used for verification purposes.
     *
     * The `ecrecover` EVM opcode allows for malleable (non-unique) signatures:
     * this function rejects them by requiring the `s` value to be in the lower
     * half order, and the `v` value to be either 27 or 28.
     *
     * IMPORTANT: `hash` _must_ be the result of a hash operation for the
     * verification to be secure: it is possible to craft signatures that
     * recover to arbitrary addresses for non-hashed data. A safe way to ensure
     * this is by receiving a hash of the original message (which may otherwise
     * be too long), and then calling {toEthSignedMessageHash} on it.
     *
     * Documentation for signature generation:
     * - with https://web3js.readthedocs.io/en/v1.3.4/web3-eth-accounts.html#sign[Web3.js]
     * - with https://docs.ethers.io/v5/api/signer/#Signer-signMessage[ethers]
     *
     * _Available since v4.3._
     */
    function tryRecover(bytes32 hash, bytes memory signature) internal pure returns (address, RecoverError) {
        if (signature.length == 65) {
            bytes32 r;
            bytes32 s;
            uint8 v;
            // ecrecover takes the signature parameters, and the only way to get them
            // currently is to use assembly.
            /// @solidity memory-safe-assembly
            assembly {
                r := mload(add(signature, 0x20))
                s := mload(add(signature, 0x40))
                v := byte(0, mload(add(signature, 0x60)))
            }
            return tryRecover(hash, v, r, s);
        } else {
            return (address(0), RecoverError.InvalidSignatureLength);
        }
    }

    /**
     * @dev Returns the address that signed a hashed message (`hash`) with
     * `signature`. This address can then be used for verification purposes.
     *
     * The `ecrecover` EVM opcode allows for malleable (non-unique) signatures:
     * this function rejects them by requiring the `s` value to be in the lower
     * half order, and the `v` value to be either 27 or 28.
     *
     * IMPORTANT: `hash` _must_ be the result of a hash operation for the
     * verification to be secure: it is possible to craft signatures that
     * recover to arbitrary addresses for non-hashed data. A safe way to ensure
     * this is by receiving a hash of the original message (which may otherwise
     * be too long), and then calling {toEthSignedMessageHash} on it.
     */
    function recover(bytes32 hash, bytes memory signature) internal pure returns (address) {
        (address recovered, RecoverError error) = tryRecover(hash, signature);
        _throwError(error);
        return recovered;
    }

    /**
     * @dev Overload of {ECDSA-tryRecover} that receives the `r` and `vs` short-signature fields separately.
     *
     * See https://eips.ethereum.org/EIPS/eip-2098[EIP-2098 short signatures]
     *
     * _Available since v4.3._
     */
    function tryRecover(
        bytes32 hash,
        bytes32 r,
        bytes32 vs
    ) internal pure returns (address, RecoverError) {
        bytes32 s = vs & bytes32(0x7fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff);
        uint8 v = uint8((uint256(vs) >> 255) + 27);
        return tryRecover(hash, v, r, s);
    }

    /**
     * @dev Overload of {ECDSA-recover} that receives the `r and `vs` short-signature fields separately.
     *
     * _Available since v4.2._
     */
    function recover(
        bytes32 hash,
        bytes32 r,
        bytes32 vs
    ) internal pure returns (address) {
        (address recovered, RecoverError error) = tryRecover(hash, r, vs);
        _throwError(error);
        return recovered;
    }

    /**
     * @dev Overload of {ECDSA-tryRecover} that receives the `v`,
     * `r` and `s` signature fields separately.
     *
     * _Available since v4.3._
     */
    function tryRecover(
        bytes32 hash,
        uint8 v,
        bytes32 r,
        bytes32 s
    ) internal pure returns (address, RecoverError) {
        // EIP-2 still allows signature malleability for ecrecover(). Remove this possibility and make the signature
        // unique. Appendix F in the Ethereum Yellow paper (https://ethereum.github.io/yellowpaper/paper.pdf), defines
        // the valid range for s in (301): 0 < s < secp256k1n ÷ 2 + 1, and for v in (302): v ∈ {27, 28}. Most
        // signatures from current libraries generate a unique signature with an s-value in the lower half order.
        //
        // If your library generates malleable signatures, such as s-values in the upper range, calculate a new s-value
        // with 0xFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEBAAEDCE6AF48A03BBFD25E8CD0364141 - s1 and flip v from 27 to 28 or
        // vice versa. If your library also generates signatures with 0/1 for v instead 27/28, add 27 to v to accept
        // these malleable signatures as well.
        if (uint256(s) > 0x7FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF5D576E7357A4501DDFE92F46681B20A0) {
            return (address(0), RecoverError.InvalidSignatureS);
        }

        // If the signature is valid (and not malleable), return the signer address
        address signer = ecrecover(hash, v, r, s);
        if (signer == address(0)) {
            return (address(0), RecoverError.InvalidSignature);
        }

        return (signer, RecoverError.NoError);
    }

    /**
     * @dev Overload of {ECDSA-recover} that receives the `v`,
     * `r` and `s` signature fields separately.
     */
    function recover(
        bytes32 hash,
        uint8 v,
        bytes32 r,
        bytes32 s
    ) internal pure returns (address) {
        (address recovered, RecoverError error) = tryRecover(hash, v, r, s);
        _throwError(error);
        return recovered;
    }

    /**
     * @dev Returns an Ethereum Signed Message, created from a `hash`. This
     * produces hash corresponding to the one signed with the
     * https://eth.wiki/json-rpc/API#eth_sign[`eth_sign`]
     * JSON-RPC method as part of EIP-191.
     *
     * See {recover}.
     */
    function toEthSignedMessageHash(bytes32 hash) internal pure returns (bytes32) {
        // 32 is the length in bytes of hash,
        // enforced by the type signature above
        return keccak256(abi.encodePacked("\x19Ethereum Signed Message:\n32", hash));
    }

    /**
     * @dev Returns an Ethereum Signed Message, created from `s`. This
     * produces hash corresponding to the one signed with the
     * https://eth.wiki/json-rpc/API#eth_sign[`eth_sign`]
     * JSON-RPC method as part of EIP-191.
     *
     * See {recover}.
     */
    function toEthSignedMessageHash(bytes memory s) internal pure returns (bytes32) {
        return keccak256(abi.encodePacked("\x19Ethereum Signed Message:\n", Strings.toString(s.length), s));
    }

    /**
     * @dev Returns an Ethereum Signed Typed Data, created from a
     * `domainSeparator` and a `structHash`. This produces hash corresponding
     * to the one signed with the
     * https://eips.ethereum.org/EIPS/eip-712[`eth_signTypedData`]
     * JSON-RPC method as part of EIP-712.
     *
     * See {recover}.
     */
    function toTypedDataHash(bytes32 domainSeparator, bytes32 structHash) internal pure returns (bytes32) {
        return keccak256(abi.encodePacked("\x19\x01", domainSeparator, structHash));
    }
}

// File: IERC165.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 IERC165 {
    /**
     * @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: IERC721.sol



// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts (last updated v4.8.0) (token/ERC721/IERC721.sol)

pragma solidity ^0.8.0;

import "./IERC165.sol";

/**
 * @dev Required interface of an ERC721 compliant contract.
 */
interface IERC721 is IERC165 {
    /**
     * @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: Math.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 Math {
    enum Rounding {
        Down, // Toward negative infinity
        Up, // Toward infinity
        Zero // Toward zero
    }

    /**
     * @dev Returns the largest of two numbers.
     */
    function max(uint256 a, uint256 b) internal pure returns (uint256) {
        return a > b ? a : b;
    }

    /**
     * @dev Returns the smallest of two numbers.
     */
    function min(uint256 a, uint256 b) internal pure returns (uint256) {
        return a < b ? a : b;
    }

    /**
     * @dev Returns the average of two numbers. The result is rounded towards
     * zero.
     */
    function average(uint256 a, uint256 b) internal pure returns (uint256) {
        // (a + b) / 2 can overflow.
        return (a & b) + (a ^ b) / 2;
    }

    /**
     * @dev Returns the ceiling of the division of two numbers.
     *
     * This differs from standard division with `/` in that it rounds up instead
     * of rounding down.
     */
    function ceilDiv(uint256 a, uint256 b) internal pure returns (uint256) {
        // (a + b - 1) / b can overflow on addition, so we distribute.
        return a == 0 ? 0 : (a - 1) / b + 1;
    }

    /**
     * @notice Calculates floor(x * y / denominator) with full precision. Throws if result overflows a uint256 or denominator == 0
     * @dev Original credit to Remco Bloemen under MIT license (https://xn--2-umb.com/21/muldiv)
     * with further edits by Uniswap Labs also under MIT license.
     */
    function mulDiv(
        uint256 x,
        uint256 y,
        uint256 denominator
    ) internal pure returns (uint256 result) {
        unchecked {
            // 512-bit multiply [prod1 prod0] = x * y. Compute the product mod 2^256 and mod 2^256 - 1, then use
            // use the Chinese Remainder Theorem to reconstruct the 512 bit result. The result is stored in two 256
            // variables such that product = prod1 * 2^256 + prod0.
            uint256 prod0; // Least significant 256 bits of the product
            uint256 prod1; // Most significant 256 bits of the product
            assembly {
                let mm := mulmod(x, y, not(0))
                prod0 := mul(x, y)
                prod1 := sub(sub(mm, prod0), lt(mm, prod0))
            }

            // Handle non-overflow cases, 256 by 256 division.
            if (prod1 == 0) {
                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: MerkleProof.sol



// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts (last updated v4.8.0) (utils/cryptography/MerkleProof.sol)

pragma solidity ^0.8.0;

/**
 * @dev These functions deal with verification of Merkle Tree proofs.
 *
 * The tree and the proofs can be generated using our
 * https://github.com/OpenZeppelin/merkle-tree[JavaScript library].
 * You will find a quickstart guide in the readme.
 *
 * WARNING: You should avoid using leaf values that are 64 bytes long prior to
 * hashing, or use a hash function other than keccak256 for hashing leaves.
 * This is because the concatenation of a sorted pair of internal nodes in
 * the merkle tree could be reinterpreted as a leaf value.
 * OpenZeppelin's JavaScript library generates merkle trees that are safe
 * against this attack out of the box.
 */
library MerkleProof {
    /**
     * @dev Returns true if a `leaf` can be proved to be a part of a Merkle tree
     * defined by `root`. For this, a `proof` must be provided, containing
     * sibling hashes on the branch from the leaf to the root of the tree. Each
     * pair of leaves and each pair of pre-images are assumed to be sorted.
     */
    function verify(
        bytes32[] memory proof,
        bytes32 root,
        bytes32 leaf
    ) internal pure returns (bool) {
        return processProof(proof, leaf) == root;
    }

    /**
     * @dev Calldata version of {verify}
     *
     * _Available since v4.7._
     */
    function verifyCalldata(
        bytes32[] calldata proof,
        bytes32 root,
        bytes32 leaf
    ) internal pure returns (bool) {
        return processProofCalldata(proof, leaf) == root;
    }

    /**
     * @dev Returns the rebuilt hash obtained by traversing a Merkle tree up
     * from `leaf` using `proof`. A `proof` is valid if and only if the rebuilt
     * hash matches the root of the tree. When processing the proof, the pairs
     * of leafs & pre-images are assumed to be sorted.
     *
     * _Available since v4.4._
     */
    function processProof(bytes32[] memory proof, bytes32 leaf) internal pure returns (bytes32) {
        bytes32 computedHash = leaf;
        for (uint256 i = 0; i < proof.length; i++) {
            computedHash = _hashPair(computedHash, proof[i]);
        }
        return computedHash;
    }

    /**
     * @dev Calldata version of {processProof}
     *
     * _Available since v4.7._
     */
    function processProofCalldata(bytes32[] calldata proof, bytes32 leaf) internal pure returns (bytes32) {
        bytes32 computedHash = leaf;
        for (uint256 i = 0; i < proof.length; i++) {
            computedHash = _hashPair(computedHash, proof[i]);
        }
        return computedHash;
    }

    /**
     * @dev Returns true if the `leaves` can be simultaneously proven to be a part of a merkle tree defined by
     * `root`, according to `proof` and `proofFlags` as described in {processMultiProof}.
     *
     * CAUTION: Not all merkle trees admit multiproofs. See {processMultiProof} for details.
     *
     * _Available since v4.7._
     */
    function multiProofVerify(
        bytes32[] memory proof,
        bool[] memory proofFlags,
        bytes32 root,
        bytes32[] memory leaves
    ) internal pure returns (bool) {
        return processMultiProof(proof, proofFlags, leaves) == root;
    }

    /**
     * @dev Calldata version of {multiProofVerify}
     *
     * CAUTION: Not all merkle trees admit multiproofs. See {processMultiProof} for details.
     *
     * _Available since v4.7._
     */
    function multiProofVerifyCalldata(
        bytes32[] calldata proof,
        bool[] calldata proofFlags,
        bytes32 root,
        bytes32[] memory leaves
    ) internal pure returns (bool) {
        return processMultiProofCalldata(proof, proofFlags, leaves) == root;
    }

    /**
     * @dev Returns the root of a tree reconstructed from `leaves` and sibling nodes in `proof`. The reconstruction
     * proceeds by incrementally reconstructing all inner nodes by combining a leaf/inner node with either another
     * leaf/inner node or a proof sibling node, depending on whether each `proofFlags` item is true or false
     * respectively.
     *
     * CAUTION: Not all merkle trees admit multiproofs. To use multiproofs, it is sufficient to ensure that: 1) the tree
     * is complete (but not necessarily perfect), 2) the leaves to be proven are in the opposite order they are in the
     * tree (i.e., as seen from right to left starting at the deepest layer and continuing at the next layer).
     *
     * _Available since v4.7._
     */
    function processMultiProof(
        bytes32[] memory proof,
        bool[] memory proofFlags,
        bytes32[] memory leaves
    ) internal pure returns (bytes32 merkleRoot) {
        // This function rebuild the root hash by traversing the tree up from the leaves. The root is rebuilt by
        // consuming and producing values on a queue. The queue starts with the `leaves` array, then goes onto the
        // `hashes` array. At the end of the process, the last hash in the `hashes` array should contain the root of
        // the merkle tree.
        uint256 leavesLen = leaves.length;
        uint256 totalHashes = proofFlags.length;

        // Check proof validity.
        require(leavesLen + proof.length - 1 == totalHashes, "MerkleProof: invalid multiproof");

        // The xxxPos values are "pointers" to the next value to consume in each array. All accesses are done using
        // `xxx[xxxPos++]`, which return the current value and increment the pointer, thus mimicking a queue's "pop".
        bytes32[] memory hashes = new bytes32[](totalHashes);
        uint256 leafPos = 0;
        uint256 hashPos = 0;
        uint256 proofPos = 0;
        // At each step, we compute the next hash using two values:
        // - a value from the "main queue". If not all leaves have been consumed, we get the next leaf, otherwise we
        //   get the next hash.
        // - depending on the flag, either another value for the "main queue" (merging branches) or an element from the
        //   `proof` array.
        for (uint256 i = 0; i < totalHashes; i++) {
            bytes32 a = leafPos < leavesLen ? leaves[leafPos++] : hashes[hashPos++];
            bytes32 b = proofFlags[i] ? leafPos < leavesLen ? leaves[leafPos++] : hashes[hashPos++] : proof[proofPos++];
            hashes[i] = _hashPair(a, b);
        }

        if (totalHashes > 0) {
            return hashes[totalHashes - 1];
        } else if (leavesLen > 0) {
            return leaves[0];
        } else {
            return proof[0];
        }
    }

    /**
     * @dev Calldata version of {processMultiProof}.
     *
     * CAUTION: Not all merkle trees admit multiproofs. See {processMultiProof} for details.
     *
     * _Available since v4.7._
     */
    function processMultiProofCalldata(
        bytes32[] calldata proof,
        bool[] calldata proofFlags,
        bytes32[] memory leaves
    ) internal pure returns (bytes32 merkleRoot) {
        // This function rebuild the root hash by traversing the tree up from the leaves. The root is rebuilt by
        // consuming and producing values on a queue. The queue starts with the `leaves` array, then goes onto the
        // `hashes` array. At the end of the process, the last hash in the `hashes` array should contain the root of
        // the merkle tree.
        uint256 leavesLen = leaves.length;
        uint256 totalHashes = proofFlags.length;

        // Check proof validity.
        require(leavesLen + proof.length - 1 == totalHashes, "MerkleProof: invalid multiproof");

        // The xxxPos values are "pointers" to the next value to consume in each array. All accesses are done using
        // `xxx[xxxPos++]`, which return the current value and increment the pointer, thus mimicking a queue's "pop".
        bytes32[] memory hashes = new bytes32[](totalHashes);
        uint256 leafPos = 0;
        uint256 hashPos = 0;
        uint256 proofPos = 0;
        // At each step, we compute the next hash using two values:
        // - a value from the "main queue". If not all leaves have been consumed, we get the next leaf, otherwise we
        //   get the next hash.
        // - depending on the flag, either another value for the "main queue" (merging branches) or an element from the
        //   `proof` array.
        for (uint256 i = 0; i < totalHashes; i++) {
            bytes32 a = leafPos < leavesLen ? leaves[leafPos++] : hashes[hashPos++];
            bytes32 b = proofFlags[i] ? leafPos < leavesLen ? leaves[leafPos++] : hashes[hashPos++] : proof[proofPos++];
            hashes[i] = _hashPair(a, b);
        }

        if (totalHashes > 0) {
            return hashes[totalHashes - 1];
        } else if (leavesLen > 0) {
            return leaves[0];
        } else {
            return proof[0];
        }
    }

    function _hashPair(bytes32 a, bytes32 b) private pure returns (bytes32) {
        return a < b ? _efficientHash(a, b) : _efficientHash(b, a);
    }

    function _efficientHash(bytes32 a, bytes32 b) private pure returns (bytes32 value) {
        /// @solidity memory-safe-assembly
        assembly {
            mstore(0x00, a)
            mstore(0x20, b)
            value := keccak256(0x00, 0x40)
        }
    }
}

// File: Ownable.sol



// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts (last updated v4.7.0) (access/Ownable.sol)

pragma solidity ^0.8.0;

import "./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: SpermRace.sol



// SPDX-License-Identifier: MIT
pragma solidity ^0.8.9;

import "./IERC721.sol";
import "./MerkleProof.sol";
import "./ECDSA.sol";
import "./Ownable.sol";
import "./console.sol";

contract SpermRace is Ownable {
    using ECDSA for bytes32;

    uint internal immutable MAX_INT = 0xffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff;
    uint internal immutable LEFTMOST_ONE_BIT = 0x8000000000000000000000000000000000000000000000000000000000000000;

    IERC721 spermGameContract;

    bool inProgress;
    bool enforceRaceEntrySignature;

    uint public constant TOTAL_EGGS = 1778;
    uint public constant TOTAL_SUPPLY = 8888;
    uint public constant MAX_TRAIT_SCORE = 12;

    uint private constant NUM_NEGATIVE_EVENTS = 8;
    uint private constant NUM_POSITIVE_EVENTS = 6;

    uint public raceEntryFee = 0 ether;
    uint public bettingFee = 0 ether;
    // The higher the individual event threshold, the less likely it is
    uint public individualEventThreshold = 15;
    // The lower the global even threshold, the less likely it is
    uint public globalEventThreshold = 30;

    bytes32[] public participantsRootHashArray;
    bytes32[] public betsPlacedRootHashArray;
    bytes32[] public fertilizationsRootHashArray;

    uint[][] public raceRandomNumbers;

    address private operatorAddress;

    event EnterRace(address _sender, uint[] _participants, uint _value, uint _raceIndex);
    event PlaceBet(address _sender, uint[] _eggTokenIds, uint[] _spermTokenIds, uint _value, uint _raceIndex);

    enum EventType {
        BLUE_BALL,
        IUD,
        CONDOM,
        COITUS_INTERRUPTUS,
        VASECTOMY,
        WHITE_BLOOD_CELL,
        MOUNTAIN_DEW,
        WHISKEY,
        VIAGRA,
        EDGING,
        PUMP,
        LUBE,
        PINEAPPLE,
        ZINC,
        NONE
    }
    struct TokenRoundResult {
        uint tokenId;
        int progress;
        int individualEventProgress;
        int globalEventProgress;
        EventType individualEvent;
        EventType globalEvent;
    }

    constructor(address _spermGameContractAddress) {
        spermGameContract = IERC721(_spermGameContractAddress);
        operatorAddress = msg.sender;
    }

    function enterRace(uint[] calldata tokenIds, bytes[] calldata signatures) external payable enforceSignatureEntry(tokenIds, signatures) {
        require(!inProgress, "Race is in progress");
        require(msg.value >= raceEntryFee, "Insufficient fee supplied to enter race");
        for (uint i = 0; i < tokenIds.length; i++) {
            require(!isEgg(tokenIds[i]), "Token must be a sperm");
            require(spermGameContract.ownerOf(tokenIds[i]) == msg.sender, "Not the owner of the token");
        }
        uint upcomingRaceIndex;
        unchecked {
            upcomingRaceIndex = getRaceIndex() + 1;
        }
        emit EnterRace(msg.sender, tokenIds, msg.value, upcomingRaceIndex);
    }

    function startRace(bytes32 participantsRootHash, bytes32 betsPlacedRootHash) external onlyOwner {
        inProgress = true;
        participantsRootHashArray.push(participantsRootHash);
        betsPlacedRootHashArray.push(betsPlacedRootHash);
        raceRandomNumbers.push(new uint[](0));
    }

    function placeBet(uint[] calldata eggTokenIds, uint[] calldata spermTokenIds, bytes[] calldata signatures) external payable enforceSignatureEntry(eggTokenIds, signatures) {
        require(!inProgress, "Race is in progress");
        require(msg.value >= bettingFee, "Insufficient fee supplied to place bet");
        require(eggTokenIds.length == spermTokenIds.length, "One egg required for each bet placed on a sperm");
        for (uint i = 0; i < eggTokenIds.length; i++) {
            require(isEgg(eggTokenIds[i]), "All tokens in eggTokenIds must be an egg");
            require(!isEgg(spermTokenIds[i]), "All tokens in spermTokenIds must be a sperm");
            require(spermGameContract.ownerOf(eggTokenIds[i]) == msg.sender, "Must be the owner of all the eggs used to place bets");
        }
        uint upcomingRaceIndex;
        unchecked {
            upcomingRaceIndex = getRaceIndex() + 1;
        }
        emit PlaceBet(msg.sender, eggTokenIds, spermTokenIds, msg.value, upcomingRaceIndex);
    }

    // TODO: Figure out how to make tokenId a uint
    function isInRace(uint round, string calldata tokenId, bytes32[] calldata _merkleProof) external view {
        bytes32 leafNode = keccak256(abi.encodePacked(tokenId));
        require(MerkleProof.verify(_merkleProof, participantsRootHashArray[round], leafNode), "tokenId is not in race");
    }

    function recordFertilizations(bytes32 fertilizationsRootHash) external onlyOwner {
        require(!inProgress, "Race is in progress");
        fertilizationsRootHashArray.push(fertilizationsRootHash);
    }

    function calculateTraitsFromTokenId(uint tokenId) public pure returns (uint) {
        if ((tokenId == 409) || (tokenId == 1386) || (tokenId == 1499) || (tokenId == 1556) || (tokenId == 1971) || (tokenId == 2561) || (tokenId == 3896) || (tokenId == 4719) || (tokenId == 6044) || (tokenId == 6861) || (tokenId == 8348) || (tokenId == 8493)) {
            return 12;
        }

        uint magicNumber = 69420;
        uint iq = (uint(keccak256(abi.encodePacked(tokenId, magicNumber, "IQ"))) % 4) + 1;
        uint speed = (uint(keccak256(abi.encodePacked(tokenId, magicNumber, "Speed"))) % 4) + 1;
        uint strength = (uint(keccak256(abi.encodePacked(tokenId, magicNumber, "Strength"))) % 4) + 1;

        return iq + speed + strength;
    }

    function progressRace256Rounds() external onlyOwner {
        require(inProgress, "Race must be in progress to progress");
        uint raceIndex = getRaceIndex();
        raceRandomNumbers[raceIndex].push(random(raceIndex));
    }

    function endRace() external onlyOwner {
        inProgress = false;
    }

    function setOperatorAddress(address _address) external onlyOwner {
        operatorAddress = _address;
    }

    function resetRace() external onlyOwner {
        require(inProgress, "Sperm race is not in progress");

        uint raceIndex = getRaceIndex();
        delete raceRandomNumbers[raceIndex];
    }

    function leaderboard(uint index) external view returns (TokenRoundResult[] memory) {
        uint raceIndex = getRaceIndex();
        require((raceRandomNumbers[raceIndex].length * 256) > index, "Need to progress more rounds before leaderboard results are available");
        TokenRoundResult[] memory roundResult = new TokenRoundResult[](TOTAL_SUPPLY);
        for (uint i = 0; i < TOTAL_SUPPLY; i++) {
            roundResult[i] = TokenRoundResult(i, 0, 0, 0, EventType.NONE, EventType.NONE);
        }

        // Fisher-Yates shuffle
        uint randomNumber = (raceRandomNumbers[raceIndex][(index / 256)] >> (index % 256));
        for (uint k = 0; k < TOTAL_SUPPLY; k++) {
            uint randomIndex = randomNumber % (TOTAL_SUPPLY - k);
            TokenRoundResult memory randomRes = roundResult[randomIndex];
            roundResult[randomIndex] = roundResult[k];
            roundResult[k] = randomRes;
        }
        for (uint j = 0; j < TOTAL_SUPPLY; j = j + 2) {
            uint tokenA = roundResult[j].tokenId;
            uint scoreA = calculateTraitsFromTokenId(tokenA);
            uint tokenB = roundResult[j+1].tokenId;
            uint scoreB = calculateTraitsFromTokenId(tokenB);
            if ((randomNumber % (scoreA + scoreB)) < scoreA) {
                roundResult[j].progress += 100;
            } else {
                roundResult[j+1].progress += 100;
            }
        }

        uint numEvents = NUM_NEGATIVE_EVENTS + NUM_POSITIVE_EVENTS;
        for (uint j = 0; j < TOTAL_SUPPLY; j++) {
            uint token = roundResult[j].tokenId;
            uint score = calculateTraitsFromTokenId(token);
            uint tokenBasedRandomNum;
            unchecked {
                tokenBasedRandomNum = randomNumber + (token * 2);
            }
            // Individual Events are more likely to happen for higher scores
            if ((randomNumber % individualEventThreshold) < score) {
                uint eventIndex = tokenBasedRandomNum % numEvents;
                roundResult[j].individualEvent = EventType(eventIndex);
                // Since there are more negative events, expected value for event will be negative
                if (eventIndex >= NUM_NEGATIVE_EVENTS) {
                    roundResult[j].progress += 50;
                    roundResult[j].individualEventProgress = 50;
                } else {
                    roundResult[j].progress -= 50;
                    roundResult[j].individualEventProgress = -50;
                }
            }

            // Global Events are more likely to happen for lower scores, and always help
            if ((randomNumber % globalEventThreshold) > score) {
                uint positiveEventIndex = tokenBasedRandomNum % NUM_POSITIVE_EVENTS;
                roundResult[j].globalEvent = EventType(NUM_NEGATIVE_EVENTS + positiveEventIndex);
                roundResult[j].progress += 25;
                roundResult[j].globalEventProgress = 25;
            }

            // Random jitter up to +0.03 score
            roundResult[j].progress += int(tokenBasedRandomNum % 4);
        }

        return roundResult;
    }

    function setIndividualEventThreshold(uint _individualEventThreshold) external onlyOwner {
        require(_individualEventThreshold >= MAX_TRAIT_SCORE, "Needs to be at least equal to max trait score");
        individualEventThreshold = _individualEventThreshold;
    }

    function setGlobalEventThreshold(uint _globalEventThreshold) external onlyOwner {
        require(_globalEventThreshold >= MAX_TRAIT_SCORE, "Needs to be at least equal to max trait score");
        globalEventThreshold = _globalEventThreshold;
    }

    function setRaceEntryFee(uint _entryFee) external onlyOwner {
        raceEntryFee = _entryFee;
    }

    function setBettingFee(uint _bettingFee) external onlyOwner {
        bettingFee = _bettingFee;
    }

    function random(uint seed) internal view returns (uint) {
        uint randomNum = uint(keccak256(abi.encodePacked(tx.origin, blockhash(block.number - 1), block.timestamp, seed)));
        return (randomNum | LEFTMOST_ONE_BIT);
    }

    function numOfRounds() external view returns (uint) {
        uint raceIndex = getRaceIndex();
        return raceRandomNumbers[raceIndex].length * 256;
    }

    function withdraw() external onlyOwner {
        payable(msg.sender).transfer(address(this).balance);
    }

    function getRaceIndex() private view returns (uint) {
        if (participantsRootHashArray.length == 0) {
            return MAX_INT;
        }
        return participantsRootHashArray.length - 1;
    }

    function isEgg(uint tokenId) private pure returns (bool) {
        return (tokenId % 5) == 0;
    }

    function setEnforceRaceEntrySignature (bool _enableSignature) external onlyOwner {
        enforceRaceEntrySignature = _enableSignature;
    }

    function isValidSignature(bytes32 hash, bytes memory signature) internal view returns (bool isValid) {
        bytes32 signedHash = keccak256(abi.encodePacked("\x19Ethereum Signed Message:\n32", hash));
        return signedHash.recover(signature) == operatorAddress;
    }

    modifier enforceSignatureEntry(uint[] calldata tokenIds, bytes[] calldata signatures) {
        if (enforceRaceEntrySignature) {
            require(tokenIds.length == signatures.length, "Number of signatures must match number of tokenIds");
            for (uint i = 0; i < tokenIds.length; i++) {
                bytes32 msgHash = keccak256(abi.encodePacked(tokenIds[i]));
                require(isValidSignature(msgHash, signatures[i]), "Invalid signature");
            }
        }
        _;
    }
}
// File: Strings.sol



// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts (last updated v4.8.0) (utils/Strings.sol)

pragma solidity ^0.8.0;

import "./Math.sol";

/**
 * @dev String operations.
 */
library Strings {
    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 = Math.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, Math.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);
    }
}