// Sources flattened with hardhat v2.10.0 https://hardhat.org

// File hardhat/console.sol@v2.10.0

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(int p0) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(int)", p0));
	}

	function logUint(uint p0) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(uint)", p0));
	}

	function logString(string memory p0) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(string)", p0));
	}

	function logBool(bool p0) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(bool)", p0));
	}

	function logAddress(address p0) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(address)", p0));
	}

	function logBytes(bytes memory p0) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(bytes)", p0));
	}

	function logBytes1(bytes1 p0) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(bytes1)", p0));
	}

	function logBytes2(bytes2 p0) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(bytes2)", p0));
	}

	function logBytes3(bytes3 p0) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(bytes3)", p0));
	}

	function logBytes4(bytes4 p0) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(bytes4)", p0));
	}

	function logBytes5(bytes5 p0) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(bytes5)", p0));
	}

	function logBytes6(bytes6 p0) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(bytes6)", p0));
	}

	function logBytes7(bytes7 p0) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(bytes7)", p0));
	}

	function logBytes8(bytes8 p0) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(bytes8)", p0));
	}

	function logBytes9(bytes9 p0) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(bytes9)", p0));
	}

	function logBytes10(bytes10 p0) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(bytes10)", p0));
	}

	function logBytes11(bytes11 p0) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(bytes11)", p0));
	}

	function logBytes12(bytes12 p0) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(bytes12)", p0));
	}

	function logBytes13(bytes13 p0) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(bytes13)", p0));
	}

	function logBytes14(bytes14 p0) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(bytes14)", p0));
	}

	function logBytes15(bytes15 p0) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(bytes15)", p0));
	}

	function logBytes16(bytes16 p0) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(bytes16)", p0));
	}

	function logBytes17(bytes17 p0) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(bytes17)", p0));
	}

	function logBytes18(bytes18 p0) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(bytes18)", p0));
	}

	function logBytes19(bytes19 p0) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(bytes19)", p0));
	}

	function logBytes20(bytes20 p0) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(bytes20)", p0));
	}

	function logBytes21(bytes21 p0) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(bytes21)", p0));
	}

	function logBytes22(bytes22 p0) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(bytes22)", p0));
	}

	function logBytes23(bytes23 p0) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(bytes23)", p0));
	}

	function logBytes24(bytes24 p0) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(bytes24)", p0));
	}

	function logBytes25(bytes25 p0) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(bytes25)", p0));
	}

	function logBytes26(bytes26 p0) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(bytes26)", p0));
	}

	function logBytes27(bytes27 p0) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(bytes27)", p0));
	}

	function logBytes28(bytes28 p0) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(bytes28)", p0));
	}

	function logBytes29(bytes29 p0) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(bytes29)", p0));
	}

	function logBytes30(bytes30 p0) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(bytes30)", p0));
	}

	function logBytes31(bytes31 p0) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(bytes31)", p0));
	}

	function logBytes32(bytes32 p0) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(bytes32)", p0));
	}

	function log(uint p0) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(uint)", p0));
	}

	function log(string memory p0) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(string)", p0));
	}

	function log(bool p0) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(bool)", p0));
	}

	function log(address p0) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(address)", p0));
	}

	function log(uint p0, uint p1) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(uint,uint)", p0, p1));
	}

	function log(uint p0, string memory p1) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(uint,string)", p0, p1));
	}

	function log(uint p0, bool p1) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(uint,bool)", p0, p1));
	}

	function log(uint p0, address p1) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(uint,address)", p0, p1));
	}

	function log(string memory p0, uint p1) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(string,uint)", p0, p1));
	}

	function log(string memory p0, string memory p1) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(string,string)", p0, p1));
	}

	function log(string memory p0, bool p1) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(string,bool)", p0, p1));
	}

	function log(string memory p0, address p1) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(string,address)", p0, p1));
	}

	function log(bool p0, uint p1) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(bool,uint)", p0, p1));
	}

	function log(bool p0, string memory p1) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(bool,string)", p0, p1));
	}

	function log(bool p0, bool p1) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(bool,bool)", p0, p1));
	}

	function log(bool p0, address p1) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(bool,address)", p0, p1));
	}

	function log(address p0, uint p1) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(address,uint)", p0, p1));
	}

	function log(address p0, string memory p1) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(address,string)", p0, p1));
	}

	function log(address p0, bool p1) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(address,bool)", p0, p1));
	}

	function log(address p0, address p1) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(address,address)", p0, p1));
	}

	function log(uint p0, uint p1, uint p2) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(uint,uint,uint)", p0, p1, p2));
	}

	function log(uint p0, uint p1, string memory p2) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(uint,uint,string)", p0, p1, p2));
	}

	function log(uint p0, uint p1, bool p2) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(uint,uint,bool)", p0, p1, p2));
	}

	function log(uint p0, uint p1, address p2) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(uint,uint,address)", p0, p1, p2));
	}

	function log(uint p0, string memory p1, uint p2) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(uint,string,uint)", p0, p1, p2));
	}

	function log(uint p0, string memory p1, string memory p2) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(uint,string,string)", p0, p1, p2));
	}

	function log(uint p0, string memory p1, bool p2) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(uint,string,bool)", p0, p1, p2));
	}

	function log(uint p0, string memory p1, address p2) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(uint,string,address)", p0, p1, p2));
	}

	function log(uint p0, bool p1, uint p2) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(uint,bool,uint)", p0, p1, p2));
	}

	function log(uint p0, bool p1, string memory p2) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(uint,bool,string)", p0, p1, p2));
	}

	function log(uint p0, bool p1, bool p2) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(uint,bool,bool)", p0, p1, p2));
	}

	function log(uint p0, bool p1, address p2) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(uint,bool,address)", p0, p1, p2));
	}

	function log(uint p0, address p1, uint p2) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(uint,address,uint)", p0, p1, p2));
	}

	function log(uint p0, address p1, string memory p2) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(uint,address,string)", p0, p1, p2));
	}

	function log(uint p0, address p1, bool p2) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(uint,address,bool)", p0, p1, p2));
	}

	function log(uint p0, address p1, address p2) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(uint,address,address)", p0, p1, p2));
	}

	function log(string memory p0, uint p1, uint p2) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(string,uint,uint)", p0, p1, p2));
	}

	function log(string memory p0, uint p1, string memory p2) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(string,uint,string)", p0, p1, p2));
	}

	function log(string memory p0, uint p1, bool p2) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(string,uint,bool)", p0, p1, p2));
	}

	function log(string memory p0, uint p1, address p2) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(string,uint,address)", p0, p1, p2));
	}

	function log(string memory p0, string memory p1, uint p2) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(string,string,uint)", p0, p1, p2));
	}

	function log(string memory p0, string memory p1, string memory p2) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(string,string,string)", p0, p1, p2));
	}

	function log(string memory p0, string memory p1, bool p2) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(string,string,bool)", p0, p1, p2));
	}

	function log(string memory p0, string memory p1, address p2) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(string,string,address)", p0, p1, p2));
	}

	function log(string memory p0, bool p1, uint p2) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(string,bool,uint)", p0, p1, p2));
	}

	function log(string memory p0, bool p1, string memory p2) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(string,bool,string)", p0, p1, p2));
	}

	function log(string memory p0, bool p1, bool p2) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(string,bool,bool)", p0, p1, p2));
	}

	function log(string memory p0, bool p1, address p2) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(string,bool,address)", p0, p1, p2));
	}

	function log(string memory p0, address p1, uint p2) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(string,address,uint)", p0, p1, p2));
	}

	function log(string memory p0, address p1, string memory p2) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(string,address,string)", p0, p1, p2));
	}

	function log(string memory p0, address p1, bool p2) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(string,address,bool)", p0, p1, p2));
	}

	function log(string memory p0, address p1, address p2) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(string,address,address)", p0, p1, p2));
	}

	function log(bool p0, uint p1, uint p2) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(bool,uint,uint)", p0, p1, p2));
	}

	function log(bool p0, uint p1, string memory p2) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(bool,uint,string)", p0, p1, p2));
	}

	function log(bool p0, uint p1, bool p2) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(bool,uint,bool)", p0, p1, p2));
	}

	function log(bool p0, uint p1, address p2) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(bool,uint,address)", p0, p1, p2));
	}

	function log(bool p0, string memory p1, uint p2) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(bool,string,uint)", p0, p1, p2));
	}

	function log(bool p0, string memory p1, string memory p2) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(bool,string,string)", p0, p1, p2));
	}

	function log(bool p0, string memory p1, bool p2) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(bool,string,bool)", p0, p1, p2));
	}

	function log(bool p0, string memory p1, address p2) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(bool,string,address)", p0, p1, p2));
	}

	function log(bool p0, bool p1, uint p2) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(bool,bool,uint)", p0, p1, p2));
	}

	function log(bool p0, bool p1, string memory p2) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(bool,bool,string)", p0, p1, p2));
	}

	function log(bool p0, bool p1, bool p2) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(bool,bool,bool)", p0, p1, p2));
	}

	function log(bool p0, bool p1, address p2) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(bool,bool,address)", p0, p1, p2));
	}

	function log(bool p0, address p1, uint p2) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(bool,address,uint)", p0, p1, p2));
	}

	function log(bool p0, address p1, string memory p2) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(bool,address,string)", p0, p1, p2));
	}

	function log(bool p0, address p1, bool p2) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(bool,address,bool)", p0, p1, p2));
	}

	function log(bool p0, address p1, address p2) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(bool,address,address)", p0, p1, p2));
	}

	function log(address p0, uint p1, uint p2) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(address,uint,uint)", p0, p1, p2));
	}

	function log(address p0, uint p1, string memory p2) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(address,uint,string)", p0, p1, p2));
	}

	function log(address p0, uint p1, bool p2) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(address,uint,bool)", p0, p1, p2));
	}

	function log(address p0, uint p1, address p2) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(address,uint,address)", p0, p1, p2));
	}

	function log(address p0, string memory p1, uint p2) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(address,string,uint)", p0, p1, p2));
	}

	function log(address p0, string memory p1, string memory p2) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(address,string,string)", p0, p1, p2));
	}

	function log(address p0, string memory p1, bool p2) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(address,string,bool)", p0, p1, p2));
	}

	function log(address p0, string memory p1, address p2) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(address,string,address)", p0, p1, p2));
	}

	function log(address p0, bool p1, uint p2) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(address,bool,uint)", p0, p1, p2));
	}

	function log(address p0, bool p1, string memory p2) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(address,bool,string)", p0, p1, p2));
	}

	function log(address p0, bool p1, bool p2) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(address,bool,bool)", p0, p1, p2));
	}

	function log(address p0, bool p1, address p2) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(address,bool,address)", p0, p1, p2));
	}

	function log(address p0, address p1, uint p2) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(address,address,uint)", p0, p1, p2));
	}

	function log(address p0, address p1, string memory p2) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(address,address,string)", p0, p1, p2));
	}

	function log(address p0, address p1, bool p2) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(address,address,bool)", p0, p1, p2));
	}

	function log(address p0, address p1, address p2) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(address,address,address)", p0, p1, p2));
	}

	function log(uint p0, uint p1, uint p2, uint p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(uint,uint,uint,uint)", p0, p1, p2, p3));
	}

	function log(uint p0, uint p1, uint p2, string memory p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(uint,uint,uint,string)", p0, p1, p2, p3));
	}

	function log(uint p0, uint p1, uint p2, bool p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(uint,uint,uint,bool)", p0, p1, p2, p3));
	}

	function log(uint p0, uint p1, uint p2, address p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(uint,uint,uint,address)", p0, p1, p2, p3));
	}

	function log(uint p0, uint p1, string memory p2, uint p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(uint,uint,string,uint)", p0, p1, p2, p3));
	}

	function log(uint p0, uint p1, string memory p2, string memory p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(uint,uint,string,string)", p0, p1, p2, p3));
	}

	function log(uint p0, uint p1, string memory p2, bool p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(uint,uint,string,bool)", p0, p1, p2, p3));
	}

	function log(uint p0, uint p1, string memory p2, address p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(uint,uint,string,address)", p0, p1, p2, p3));
	}

	function log(uint p0, uint p1, bool p2, uint p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(uint,uint,bool,uint)", p0, p1, p2, p3));
	}

	function log(uint p0, uint p1, bool p2, string memory p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(uint,uint,bool,string)", p0, p1, p2, p3));
	}

	function log(uint p0, uint p1, bool p2, bool p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(uint,uint,bool,bool)", p0, p1, p2, p3));
	}

	function log(uint p0, uint p1, bool p2, address p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(uint,uint,bool,address)", p0, p1, p2, p3));
	}

	function log(uint p0, uint p1, address p2, uint p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(uint,uint,address,uint)", p0, p1, p2, p3));
	}

	function log(uint p0, uint p1, address p2, string memory p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(uint,uint,address,string)", p0, p1, p2, p3));
	}

	function log(uint p0, uint p1, address p2, bool p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(uint,uint,address,bool)", p0, p1, p2, p3));
	}

	function log(uint p0, uint p1, address p2, address p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(uint,uint,address,address)", p0, p1, p2, p3));
	}

	function log(uint p0, string memory p1, uint p2, uint p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(uint,string,uint,uint)", p0, p1, p2, p3));
	}

	function log(uint p0, string memory p1, uint p2, string memory p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(uint,string,uint,string)", p0, p1, p2, p3));
	}

	function log(uint p0, string memory p1, uint p2, bool p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(uint,string,uint,bool)", p0, p1, p2, p3));
	}

	function log(uint p0, string memory p1, uint p2, address p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(uint,string,uint,address)", p0, p1, p2, p3));
	}

	function log(uint p0, string memory p1, string memory p2, uint p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(uint,string,string,uint)", p0, p1, p2, p3));
	}

	function log(uint p0, string memory p1, string memory p2, string memory p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(uint,string,string,string)", p0, p1, p2, p3));
	}

	function log(uint p0, string memory p1, string memory p2, bool p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(uint,string,string,bool)", p0, p1, p2, p3));
	}

	function log(uint p0, string memory p1, string memory p2, address p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(uint,string,string,address)", p0, p1, p2, p3));
	}

	function log(uint p0, string memory p1, bool p2, uint p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(uint,string,bool,uint)", p0, p1, p2, p3));
	}

	function log(uint p0, string memory p1, bool p2, string memory p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(uint,string,bool,string)", p0, p1, p2, p3));
	}

	function log(uint p0, string memory p1, bool p2, bool p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(uint,string,bool,bool)", p0, p1, p2, p3));
	}

	function log(uint p0, string memory p1, bool p2, address p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(uint,string,bool,address)", p0, p1, p2, p3));
	}

	function log(uint p0, string memory p1, address p2, uint p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(uint,string,address,uint)", p0, p1, p2, p3));
	}

	function log(uint p0, string memory p1, address p2, string memory p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(uint,string,address,string)", p0, p1, p2, p3));
	}

	function log(uint p0, string memory p1, address p2, bool p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(uint,string,address,bool)", p0, p1, p2, p3));
	}

	function log(uint p0, string memory p1, address p2, address p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(uint,string,address,address)", p0, p1, p2, p3));
	}

	function log(uint p0, bool p1, uint p2, uint p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(uint,bool,uint,uint)", p0, p1, p2, p3));
	}

	function log(uint p0, bool p1, uint p2, string memory p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(uint,bool,uint,string)", p0, p1, p2, p3));
	}

	function log(uint p0, bool p1, uint p2, bool p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(uint,bool,uint,bool)", p0, p1, p2, p3));
	}

	function log(uint p0, bool p1, uint p2, address p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(uint,bool,uint,address)", p0, p1, p2, p3));
	}

	function log(uint p0, bool p1, string memory p2, uint p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(uint,bool,string,uint)", p0, p1, p2, p3));
	}

	function log(uint p0, bool p1, string memory p2, string memory p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(uint,bool,string,string)", p0, p1, p2, p3));
	}

	function log(uint p0, bool p1, string memory p2, bool p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(uint,bool,string,bool)", p0, p1, p2, p3));
	}

	function log(uint p0, bool p1, string memory p2, address p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(uint,bool,string,address)", p0, p1, p2, p3));
	}

	function log(uint p0, bool p1, bool p2, uint p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(uint,bool,bool,uint)", p0, p1, p2, p3));
	}

	function log(uint p0, bool p1, bool p2, string memory p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(uint,bool,bool,string)", p0, p1, p2, p3));
	}

	function log(uint p0, bool p1, bool p2, bool p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(uint,bool,bool,bool)", p0, p1, p2, p3));
	}

	function log(uint p0, bool p1, bool p2, address p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(uint,bool,bool,address)", p0, p1, p2, p3));
	}

	function log(uint p0, bool p1, address p2, uint p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(uint,bool,address,uint)", p0, p1, p2, p3));
	}

	function log(uint p0, bool p1, address p2, string memory p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(uint,bool,address,string)", p0, p1, p2, p3));
	}

	function log(uint p0, bool p1, address p2, bool p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(uint,bool,address,bool)", p0, p1, p2, p3));
	}

	function log(uint p0, bool p1, address p2, address p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(uint,bool,address,address)", p0, p1, p2, p3));
	}

	function log(uint p0, address p1, uint p2, uint p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(uint,address,uint,uint)", p0, p1, p2, p3));
	}

	function log(uint p0, address p1, uint p2, string memory p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(uint,address,uint,string)", p0, p1, p2, p3));
	}

	function log(uint p0, address p1, uint p2, bool p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(uint,address,uint,bool)", p0, p1, p2, p3));
	}

	function log(uint p0, address p1, uint p2, address p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(uint,address,uint,address)", p0, p1, p2, p3));
	}

	function log(uint p0, address p1, string memory p2, uint p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(uint,address,string,uint)", p0, p1, p2, p3));
	}

	function log(uint p0, address p1, string memory p2, string memory p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(uint,address,string,string)", p0, p1, p2, p3));
	}

	function log(uint p0, address p1, string memory p2, bool p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(uint,address,string,bool)", p0, p1, p2, p3));
	}

	function log(uint p0, address p1, string memory p2, address p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(uint,address,string,address)", p0, p1, p2, p3));
	}

	function log(uint p0, address p1, bool p2, uint p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(uint,address,bool,uint)", p0, p1, p2, p3));
	}

	function log(uint p0, address p1, bool p2, string memory p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(uint,address,bool,string)", p0, p1, p2, p3));
	}

	function log(uint p0, address p1, bool p2, bool p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(uint,address,bool,bool)", p0, p1, p2, p3));
	}

	function log(uint p0, address p1, bool p2, address p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(uint,address,bool,address)", p0, p1, p2, p3));
	}

	function log(uint p0, address p1, address p2, uint p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(uint,address,address,uint)", p0, p1, p2, p3));
	}

	function log(uint p0, address p1, address p2, string memory p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(uint,address,address,string)", p0, p1, p2, p3));
	}

	function log(uint p0, address p1, address p2, bool p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(uint,address,address,bool)", p0, p1, p2, p3));
	}

	function log(uint p0, address p1, address p2, address p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(uint,address,address,address)", p0, p1, p2, p3));
	}

	function log(string memory p0, uint p1, uint p2, uint p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(string,uint,uint,uint)", p0, p1, p2, p3));
	}

	function log(string memory p0, uint p1, uint p2, string memory p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(string,uint,uint,string)", p0, p1, p2, p3));
	}

	function log(string memory p0, uint p1, uint p2, bool p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(string,uint,uint,bool)", p0, p1, p2, p3));
	}

	function log(string memory p0, uint p1, uint p2, address p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(string,uint,uint,address)", p0, p1, p2, p3));
	}

	function log(string memory p0, uint p1, string memory p2, uint p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(string,uint,string,uint)", p0, p1, p2, p3));
	}

	function log(string memory p0, uint p1, string memory p2, string memory p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(string,uint,string,string)", p0, p1, p2, p3));
	}

	function log(string memory p0, uint p1, string memory p2, bool p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(string,uint,string,bool)", p0, p1, p2, p3));
	}

	function log(string memory p0, uint p1, string memory p2, address p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(string,uint,string,address)", p0, p1, p2, p3));
	}

	function log(string memory p0, uint p1, bool p2, uint p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(string,uint,bool,uint)", p0, p1, p2, p3));
	}

	function log(string memory p0, uint p1, bool p2, string memory p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(string,uint,bool,string)", p0, p1, p2, p3));
	}

	function log(string memory p0, uint p1, bool p2, bool p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(string,uint,bool,bool)", p0, p1, p2, p3));
	}

	function log(string memory p0, uint p1, bool p2, address p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(string,uint,bool,address)", p0, p1, p2, p3));
	}

	function log(string memory p0, uint p1, address p2, uint p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(string,uint,address,uint)", p0, p1, p2, p3));
	}

	function log(string memory p0, uint p1, address p2, string memory p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(string,uint,address,string)", p0, p1, p2, p3));
	}

	function log(string memory p0, uint p1, address p2, bool p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(string,uint,address,bool)", p0, p1, p2, p3));
	}

	function log(string memory p0, uint p1, address p2, address p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(string,uint,address,address)", p0, p1, p2, p3));
	}

	function log(string memory p0, string memory p1, uint p2, uint p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(string,string,uint,uint)", p0, p1, p2, p3));
	}

	function log(string memory p0, string memory p1, uint p2, string memory p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(string,string,uint,string)", p0, p1, p2, p3));
	}

	function log(string memory p0, string memory p1, uint p2, bool p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(string,string,uint,bool)", p0, p1, p2, p3));
	}

	function log(string memory p0, string memory p1, uint p2, address p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(string,string,uint,address)", p0, p1, p2, p3));
	}

	function log(string memory p0, string memory p1, string memory p2, uint p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(string,string,string,uint)", p0, p1, p2, p3));
	}

	function log(string memory p0, string memory p1, string memory p2, string memory p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(string,string,string,string)", p0, p1, p2, p3));
	}

	function log(string memory p0, string memory p1, string memory p2, bool p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(string,string,string,bool)", p0, p1, p2, p3));
	}

	function log(string memory p0, string memory p1, string memory p2, address p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(string,string,string,address)", p0, p1, p2, p3));
	}

	function log(string memory p0, string memory p1, bool p2, uint p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(string,string,bool,uint)", p0, p1, p2, p3));
	}

	function log(string memory p0, string memory p1, bool p2, string memory p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(string,string,bool,string)", p0, p1, p2, p3));
	}

	function log(string memory p0, string memory p1, bool p2, bool p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(string,string,bool,bool)", p0, p1, p2, p3));
	}

	function log(string memory p0, string memory p1, bool p2, address p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(string,string,bool,address)", p0, p1, p2, p3));
	}

	function log(string memory p0, string memory p1, address p2, uint p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(string,string,address,uint)", p0, p1, p2, p3));
	}

	function log(string memory p0, string memory p1, address p2, string memory p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(string,string,address,string)", p0, p1, p2, p3));
	}

	function log(string memory p0, string memory p1, address p2, bool p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(string,string,address,bool)", p0, p1, p2, p3));
	}

	function log(string memory p0, string memory p1, address p2, address p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(string,string,address,address)", p0, p1, p2, p3));
	}

	function log(string memory p0, bool p1, uint p2, uint p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(string,bool,uint,uint)", p0, p1, p2, p3));
	}

	function log(string memory p0, bool p1, uint p2, string memory p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(string,bool,uint,string)", p0, p1, p2, p3));
	}

	function log(string memory p0, bool p1, uint p2, bool p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(string,bool,uint,bool)", p0, p1, p2, p3));
	}

	function log(string memory p0, bool p1, uint p2, address p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(string,bool,uint,address)", p0, p1, p2, p3));
	}

	function log(string memory p0, bool p1, string memory p2, uint p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(string,bool,string,uint)", p0, p1, p2, p3));
	}

	function log(string memory p0, bool p1, string memory p2, string memory p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(string,bool,string,string)", p0, p1, p2, p3));
	}

	function log(string memory p0, bool p1, string memory p2, bool p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(string,bool,string,bool)", p0, p1, p2, p3));
	}

	function log(string memory p0, bool p1, string memory p2, address p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(string,bool,string,address)", p0, p1, p2, p3));
	}

	function log(string memory p0, bool p1, bool p2, uint p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(string,bool,bool,uint)", p0, p1, p2, p3));
	}

	function log(string memory p0, bool p1, bool p2, string memory p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(string,bool,bool,string)", p0, p1, p2, p3));
	}

	function log(string memory p0, bool p1, bool p2, bool p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(string,bool,bool,bool)", p0, p1, p2, p3));
	}

	function log(string memory p0, bool p1, bool p2, address p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(string,bool,bool,address)", p0, p1, p2, p3));
	}

	function log(string memory p0, bool p1, address p2, uint p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(string,bool,address,uint)", p0, p1, p2, p3));
	}

	function log(string memory p0, bool p1, address p2, string memory p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(string,bool,address,string)", p0, p1, p2, p3));
	}

	function log(string memory p0, bool p1, address p2, bool p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(string,bool,address,bool)", p0, p1, p2, p3));
	}

	function log(string memory p0, bool p1, address p2, address p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(string,bool,address,address)", p0, p1, p2, p3));
	}

	function log(string memory p0, address p1, uint p2, uint p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(string,address,uint,uint)", p0, p1, p2, p3));
	}

	function log(string memory p0, address p1, uint p2, string memory p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(string,address,uint,string)", p0, p1, p2, p3));
	}

	function log(string memory p0, address p1, uint p2, bool p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(string,address,uint,bool)", p0, p1, p2, p3));
	}

	function log(string memory p0, address p1, uint p2, address p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(string,address,uint,address)", p0, p1, p2, p3));
	}

	function log(string memory p0, address p1, string memory p2, uint p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(string,address,string,uint)", p0, p1, p2, p3));
	}

	function log(string memory p0, address p1, string memory p2, string memory p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(string,address,string,string)", p0, p1, p2, p3));
	}

	function log(string memory p0, address p1, string memory p2, bool p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(string,address,string,bool)", p0, p1, p2, p3));
	}

	function log(string memory p0, address p1, string memory p2, address p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(string,address,string,address)", p0, p1, p2, p3));
	}

	function log(string memory p0, address p1, bool p2, uint p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(string,address,bool,uint)", p0, p1, p2, p3));
	}

	function log(string memory p0, address p1, bool p2, string memory p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(string,address,bool,string)", p0, p1, p2, p3));
	}

	function log(string memory p0, address p1, bool p2, bool p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(string,address,bool,bool)", p0, p1, p2, p3));
	}

	function log(string memory p0, address p1, bool p2, address p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(string,address,bool,address)", p0, p1, p2, p3));
	}

	function log(string memory p0, address p1, address p2, uint p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(string,address,address,uint)", p0, p1, p2, p3));
	}

	function log(string memory p0, address p1, address p2, string memory p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(string,address,address,string)", p0, p1, p2, p3));
	}

	function log(string memory p0, address p1, address p2, bool p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(string,address,address,bool)", p0, p1, p2, p3));
	}

	function log(string memory p0, address p1, address p2, address p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(string,address,address,address)", p0, p1, p2, p3));
	}

	function log(bool p0, uint p1, uint p2, uint p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(bool,uint,uint,uint)", p0, p1, p2, p3));
	}

	function log(bool p0, uint p1, uint p2, string memory p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(bool,uint,uint,string)", p0, p1, p2, p3));
	}

	function log(bool p0, uint p1, uint p2, bool p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(bool,uint,uint,bool)", p0, p1, p2, p3));
	}

	function log(bool p0, uint p1, uint p2, address p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(bool,uint,uint,address)", p0, p1, p2, p3));
	}

	function log(bool p0, uint p1, string memory p2, uint p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(bool,uint,string,uint)", p0, p1, p2, p3));
	}

	function log(bool p0, uint p1, string memory p2, string memory p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(bool,uint,string,string)", p0, p1, p2, p3));
	}

	function log(bool p0, uint p1, string memory p2, bool p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(bool,uint,string,bool)", p0, p1, p2, p3));
	}

	function log(bool p0, uint p1, string memory p2, address p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(bool,uint,string,address)", p0, p1, p2, p3));
	}

	function log(bool p0, uint p1, bool p2, uint p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(bool,uint,bool,uint)", p0, p1, p2, p3));
	}

	function log(bool p0, uint p1, bool p2, string memory p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(bool,uint,bool,string)", p0, p1, p2, p3));
	}

	function log(bool p0, uint p1, bool p2, bool p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(bool,uint,bool,bool)", p0, p1, p2, p3));
	}

	function log(bool p0, uint p1, bool p2, address p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(bool,uint,bool,address)", p0, p1, p2, p3));
	}

	function log(bool p0, uint p1, address p2, uint p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(bool,uint,address,uint)", p0, p1, p2, p3));
	}

	function log(bool p0, uint p1, address p2, string memory p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(bool,uint,address,string)", p0, p1, p2, p3));
	}

	function log(bool p0, uint p1, address p2, bool p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(bool,uint,address,bool)", p0, p1, p2, p3));
	}

	function log(bool p0, uint p1, address p2, address p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(bool,uint,address,address)", p0, p1, p2, p3));
	}

	function log(bool p0, string memory p1, uint p2, uint p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(bool,string,uint,uint)", p0, p1, p2, p3));
	}

	function log(bool p0, string memory p1, uint p2, string memory p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(bool,string,uint,string)", p0, p1, p2, p3));
	}

	function log(bool p0, string memory p1, uint p2, bool p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(bool,string,uint,bool)", p0, p1, p2, p3));
	}

	function log(bool p0, string memory p1, uint p2, address p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(bool,string,uint,address)", p0, p1, p2, p3));
	}

	function log(bool p0, string memory p1, string memory p2, uint p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(bool,string,string,uint)", p0, p1, p2, p3));
	}

	function log(bool p0, string memory p1, string memory p2, string memory p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(bool,string,string,string)", p0, p1, p2, p3));
	}

	function log(bool p0, string memory p1, string memory p2, bool p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(bool,string,string,bool)", p0, p1, p2, p3));
	}

	function log(bool p0, string memory p1, string memory p2, address p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(bool,string,string,address)", p0, p1, p2, p3));
	}

	function log(bool p0, string memory p1, bool p2, uint p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(bool,string,bool,uint)", p0, p1, p2, p3));
	}

	function log(bool p0, string memory p1, bool p2, string memory p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(bool,string,bool,string)", p0, p1, p2, p3));
	}

	function log(bool p0, string memory p1, bool p2, bool p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(bool,string,bool,bool)", p0, p1, p2, p3));
	}

	function log(bool p0, string memory p1, bool p2, address p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(bool,string,bool,address)", p0, p1, p2, p3));
	}

	function log(bool p0, string memory p1, address p2, uint p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(bool,string,address,uint)", p0, p1, p2, p3));
	}

	function log(bool p0, string memory p1, address p2, string memory p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(bool,string,address,string)", p0, p1, p2, p3));
	}

	function log(bool p0, string memory p1, address p2, bool p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(bool,string,address,bool)", p0, p1, p2, p3));
	}

	function log(bool p0, string memory p1, address p2, address p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(bool,string,address,address)", p0, p1, p2, p3));
	}

	function log(bool p0, bool p1, uint p2, uint p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(bool,bool,uint,uint)", p0, p1, p2, p3));
	}

	function log(bool p0, bool p1, uint p2, string memory p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(bool,bool,uint,string)", p0, p1, p2, p3));
	}

	function log(bool p0, bool p1, uint p2, bool p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(bool,bool,uint,bool)", p0, p1, p2, p3));
	}

	function log(bool p0, bool p1, uint p2, address p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(bool,bool,uint,address)", p0, p1, p2, p3));
	}

	function log(bool p0, bool p1, string memory p2, uint p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(bool,bool,string,uint)", p0, p1, p2, p3));
	}

	function log(bool p0, bool p1, string memory p2, string memory p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(bool,bool,string,string)", p0, p1, p2, p3));
	}

	function log(bool p0, bool p1, string memory p2, bool p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(bool,bool,string,bool)", p0, p1, p2, p3));
	}

	function log(bool p0, bool p1, string memory p2, address p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(bool,bool,string,address)", p0, p1, p2, p3));
	}

	function log(bool p0, bool p1, bool p2, uint p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(bool,bool,bool,uint)", p0, p1, p2, p3));
	}

	function log(bool p0, bool p1, bool p2, string memory p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(bool,bool,bool,string)", p0, p1, p2, p3));
	}

	function log(bool p0, bool p1, bool p2, bool p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(bool,bool,bool,bool)", p0, p1, p2, p3));
	}

	function log(bool p0, bool p1, bool p2, address p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(bool,bool,bool,address)", p0, p1, p2, p3));
	}

	function log(bool p0, bool p1, address p2, uint p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(bool,bool,address,uint)", p0, p1, p2, p3));
	}

	function log(bool p0, bool p1, address p2, string memory p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(bool,bool,address,string)", p0, p1, p2, p3));
	}

	function log(bool p0, bool p1, address p2, bool p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(bool,bool,address,bool)", p0, p1, p2, p3));
	}

	function log(bool p0, bool p1, address p2, address p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(bool,bool,address,address)", p0, p1, p2, p3));
	}

	function log(bool p0, address p1, uint p2, uint p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(bool,address,uint,uint)", p0, p1, p2, p3));
	}

	function log(bool p0, address p1, uint p2, string memory p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(bool,address,uint,string)", p0, p1, p2, p3));
	}

	function log(bool p0, address p1, uint p2, bool p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(bool,address,uint,bool)", p0, p1, p2, p3));
	}

	function log(bool p0, address p1, uint p2, address p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(bool,address,uint,address)", p0, p1, p2, p3));
	}

	function log(bool p0, address p1, string memory p2, uint p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(bool,address,string,uint)", p0, p1, p2, p3));
	}

	function log(bool p0, address p1, string memory p2, string memory p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(bool,address,string,string)", p0, p1, p2, p3));
	}

	function log(bool p0, address p1, string memory p2, bool p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(bool,address,string,bool)", p0, p1, p2, p3));
	}

	function log(bool p0, address p1, string memory p2, address p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(bool,address,string,address)", p0, p1, p2, p3));
	}

	function log(bool p0, address p1, bool p2, uint p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(bool,address,bool,uint)", p0, p1, p2, p3));
	}

	function log(bool p0, address p1, bool p2, string memory p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(bool,address,bool,string)", p0, p1, p2, p3));
	}

	function log(bool p0, address p1, bool p2, bool p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(bool,address,bool,bool)", p0, p1, p2, p3));
	}

	function log(bool p0, address p1, bool p2, address p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(bool,address,bool,address)", p0, p1, p2, p3));
	}

	function log(bool p0, address p1, address p2, uint p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(bool,address,address,uint)", p0, p1, p2, p3));
	}

	function log(bool p0, address p1, address p2, string memory p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(bool,address,address,string)", p0, p1, p2, p3));
	}

	function log(bool p0, address p1, address p2, bool p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(bool,address,address,bool)", p0, p1, p2, p3));
	}

	function log(bool p0, address p1, address p2, address p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(bool,address,address,address)", p0, p1, p2, p3));
	}

	function log(address p0, uint p1, uint p2, uint p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(address,uint,uint,uint)", p0, p1, p2, p3));
	}

	function log(address p0, uint p1, uint p2, string memory p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(address,uint,uint,string)", p0, p1, p2, p3));
	}

	function log(address p0, uint p1, uint p2, bool p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(address,uint,uint,bool)", p0, p1, p2, p3));
	}

	function log(address p0, uint p1, uint p2, address p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(address,uint,uint,address)", p0, p1, p2, p3));
	}

	function log(address p0, uint p1, string memory p2, uint p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(address,uint,string,uint)", p0, p1, p2, p3));
	}

	function log(address p0, uint p1, string memory p2, string memory p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(address,uint,string,string)", p0, p1, p2, p3));
	}

	function log(address p0, uint p1, string memory p2, bool p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(address,uint,string,bool)", p0, p1, p2, p3));
	}

	function log(address p0, uint p1, string memory p2, address p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(address,uint,string,address)", p0, p1, p2, p3));
	}

	function log(address p0, uint p1, bool p2, uint p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(address,uint,bool,uint)", p0, p1, p2, p3));
	}

	function log(address p0, uint p1, bool p2, string memory p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(address,uint,bool,string)", p0, p1, p2, p3));
	}

	function log(address p0, uint p1, bool p2, bool p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(address,uint,bool,bool)", p0, p1, p2, p3));
	}

	function log(address p0, uint p1, bool p2, address p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(address,uint,bool,address)", p0, p1, p2, p3));
	}

	function log(address p0, uint p1, address p2, uint p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(address,uint,address,uint)", p0, p1, p2, p3));
	}

	function log(address p0, uint p1, address p2, string memory p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(address,uint,address,string)", p0, p1, p2, p3));
	}

	function log(address p0, uint p1, address p2, bool p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(address,uint,address,bool)", p0, p1, p2, p3));
	}

	function log(address p0, uint p1, address p2, address p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(address,uint,address,address)", p0, p1, p2, p3));
	}

	function log(address p0, string memory p1, uint p2, uint p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(address,string,uint,uint)", p0, p1, p2, p3));
	}

	function log(address p0, string memory p1, uint p2, string memory p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(address,string,uint,string)", p0, p1, p2, p3));
	}

	function log(address p0, string memory p1, uint p2, bool p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(address,string,uint,bool)", p0, p1, p2, p3));
	}

	function log(address p0, string memory p1, uint p2, address p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(address,string,uint,address)", p0, p1, p2, p3));
	}

	function log(address p0, string memory p1, string memory p2, uint p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(address,string,string,uint)", p0, p1, p2, p3));
	}

	function log(address p0, string memory p1, string memory p2, string memory p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(address,string,string,string)", p0, p1, p2, p3));
	}

	function log(address p0, string memory p1, string memory p2, bool p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(address,string,string,bool)", p0, p1, p2, p3));
	}

	function log(address p0, string memory p1, string memory p2, address p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(address,string,string,address)", p0, p1, p2, p3));
	}

	function log(address p0, string memory p1, bool p2, uint p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(address,string,bool,uint)", p0, p1, p2, p3));
	}

	function log(address p0, string memory p1, bool p2, string memory p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(address,string,bool,string)", p0, p1, p2, p3));
	}

	function log(address p0, string memory p1, bool p2, bool p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(address,string,bool,bool)", p0, p1, p2, p3));
	}

	function log(address p0, string memory p1, bool p2, address p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(address,string,bool,address)", p0, p1, p2, p3));
	}

	function log(address p0, string memory p1, address p2, uint p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(address,string,address,uint)", p0, p1, p2, p3));
	}

	function log(address p0, string memory p1, address p2, string memory p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(address,string,address,string)", p0, p1, p2, p3));
	}

	function log(address p0, string memory p1, address p2, bool p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(address,string,address,bool)", p0, p1, p2, p3));
	}

	function log(address p0, string memory p1, address p2, address p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(address,string,address,address)", p0, p1, p2, p3));
	}

	function log(address p0, bool p1, uint p2, uint p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(address,bool,uint,uint)", p0, p1, p2, p3));
	}

	function log(address p0, bool p1, uint p2, string memory p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(address,bool,uint,string)", p0, p1, p2, p3));
	}

	function log(address p0, bool p1, uint p2, bool p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(address,bool,uint,bool)", p0, p1, p2, p3));
	}

	function log(address p0, bool p1, uint p2, address p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(address,bool,uint,address)", p0, p1, p2, p3));
	}

	function log(address p0, bool p1, string memory p2, uint p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(address,bool,string,uint)", p0, p1, p2, p3));
	}

	function log(address p0, bool p1, string memory p2, string memory p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(address,bool,string,string)", p0, p1, p2, p3));
	}

	function log(address p0, bool p1, string memory p2, bool p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(address,bool,string,bool)", p0, p1, p2, p3));
	}

	function log(address p0, bool p1, string memory p2, address p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(address,bool,string,address)", p0, p1, p2, p3));
	}

	function log(address p0, bool p1, bool p2, uint p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(address,bool,bool,uint)", p0, p1, p2, p3));
	}

	function log(address p0, bool p1, bool p2, string memory p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(address,bool,bool,string)", p0, p1, p2, p3));
	}

	function log(address p0, bool p1, bool p2, bool p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(address,bool,bool,bool)", p0, p1, p2, p3));
	}

	function log(address p0, bool p1, bool p2, address p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(address,bool,bool,address)", p0, p1, p2, p3));
	}

	function log(address p0, bool p1, address p2, uint p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(address,bool,address,uint)", p0, p1, p2, p3));
	}

	function log(address p0, bool p1, address p2, string memory p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(address,bool,address,string)", p0, p1, p2, p3));
	}

	function log(address p0, bool p1, address p2, bool p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(address,bool,address,bool)", p0, p1, p2, p3));
	}

	function log(address p0, bool p1, address p2, address p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(address,bool,address,address)", p0, p1, p2, p3));
	}

	function log(address p0, address p1, uint p2, uint p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(address,address,uint,uint)", p0, p1, p2, p3));
	}

	function log(address p0, address p1, uint p2, string memory p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(address,address,uint,string)", p0, p1, p2, p3));
	}

	function log(address p0, address p1, uint p2, bool p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(address,address,uint,bool)", p0, p1, p2, p3));
	}

	function log(address p0, address p1, uint p2, address p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(address,address,uint,address)", p0, p1, p2, p3));
	}

	function log(address p0, address p1, string memory p2, uint p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(address,address,string,uint)", p0, p1, p2, p3));
	}

	function log(address p0, address p1, string memory p2, string memory p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(address,address,string,string)", p0, p1, p2, p3));
	}

	function log(address p0, address p1, string memory p2, bool p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(address,address,string,bool)", p0, p1, p2, p3));
	}

	function log(address p0, address p1, string memory p2, address p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(address,address,string,address)", p0, p1, p2, p3));
	}

	function log(address p0, address p1, bool p2, uint p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(address,address,bool,uint)", p0, p1, p2, p3));
	}

	function log(address p0, address p1, bool p2, string memory p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(address,address,bool,string)", p0, p1, p2, p3));
	}

	function log(address p0, address p1, bool p2, bool p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(address,address,bool,bool)", p0, p1, p2, p3));
	}

	function log(address p0, address p1, bool p2, address p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(address,address,bool,address)", p0, p1, p2, p3));
	}

	function log(address p0, address p1, address p2, uint p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(address,address,address,uint)", p0, p1, p2, p3));
	}

	function log(address p0, address p1, address p2, string memory p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(address,address,address,string)", p0, p1, p2, p3));
	}

	function log(address p0, address p1, address p2, bool p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(address,address,address,bool)", p0, p1, p2, p3));
	}

	function log(address p0, address p1, address p2, address p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(address,address,address,address)", p0, p1, p2, p3));
	}

}


// File erc721a/contracts/IERC721A.sol@v4.2.2


// ERC721A Contracts v4.2.2
// Creator: Chiru Labs

pragma solidity ^0.8.4;

/**
 * @dev Interface of ERC721A.
 */
interface IERC721A {
    /**
     * The caller must own the token or be an approved operator.
     */
    error ApprovalCallerNotOwnerNorApproved();

    /**
     * The token does not exist.
     */
    error ApprovalQueryForNonexistentToken();

    /**
     * The caller cannot approve to their own address.
     */
    error ApproveToCaller();

    /**
     * Cannot query the balance for the zero address.
     */
    error BalanceQueryForZeroAddress();

    /**
     * Cannot mint to the zero address.
     */
    error MintToZeroAddress();

    /**
     * The quantity of tokens minted must be more than zero.
     */
    error MintZeroQuantity();

    /**
     * The token does not exist.
     */
    error OwnerQueryForNonexistentToken();

    /**
     * The caller must own the token or be an approved operator.
     */
    error TransferCallerNotOwnerNorApproved();

    /**
     * The token must be owned by `from`.
     */
    error TransferFromIncorrectOwner();

    /**
     * Cannot safely transfer to a contract that does not implement the
     * ERC721Receiver interface.
     */
    error TransferToNonERC721ReceiverImplementer();

    /**
     * Cannot transfer to the zero address.
     */
    error TransferToZeroAddress();

    /**
     * The token does not exist.
     */
    error URIQueryForNonexistentToken();

    /**
     * The `quantity` minted with ERC2309 exceeds the safety limit.
     */
    error MintERC2309QuantityExceedsLimit();

    /**
     * The `extraData` cannot be set on an unintialized ownership slot.
     */
    error OwnershipNotInitializedForExtraData();

    // =============================================================
    //                            STRUCTS
    // =============================================================

    struct TokenOwnership {
        // The address of the owner.
        address addr;
        // Stores the start time of ownership with minimal overhead for tokenomics.
        uint64 startTimestamp;
        // Whether the token has been burned.
        bool burned;
        // Arbitrary data similar to `startTimestamp` that can be set via {_extraData}.
        uint24 extraData;
    }

    // =============================================================
    //                         TOKEN COUNTERS
    // =============================================================

    /**
     * @dev Returns the total number of tokens in existence.
     * Burned tokens will reduce the count.
     * To get the total number of tokens minted, please see {_totalMinted}.
     */
    function totalSupply() external view returns (uint256);

    // =============================================================
    //                            IERC165
    // =============================================================

    /**
     * @dev Returns true if this contract implements the interface defined by
     * `interfaceId`. See the corresponding
     * [EIP section](https://eips.ethereum.org/EIPS/eip-165#how-interfaces-are-identified)
     * to learn more about how these ids are created.
     *
     * This function call must use less than 30000 gas.
     */
    function supportsInterface(bytes4 interfaceId) external view returns (bool);

    // =============================================================
    //                            IERC721
    // =============================================================

    /**
     * @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`,
     * 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 be 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,
        bytes calldata data
    ) external;

    /**
     * @dev Equivalent to `safeTransferFrom(from, to, tokenId, '')`.
     */
    function safeTransferFrom(
        address from,
        address to,
        uint256 tokenId
    ) external;

    /**
     * @dev Transfers `tokenId` from `from` to `to`.
     *
     * WARNING: Usage of this method is discouraged, use {safeTransferFrom}
     * whenever possible.
     *
     * 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);

    // =============================================================
    //                        IERC721Metadata
    // =============================================================

    /**
     * @dev Returns the token collection name.
     */
    function name() external view returns (string memory);

    /**
     * @dev Returns the token collection symbol.
     */
    function symbol() external view returns (string memory);

    /**
     * @dev Returns the Uniform Resource Identifier (URI) for `tokenId` token.
     */
    function tokenURI(uint256 tokenId) external view returns (string memory);

    // =============================================================
    //                           IERC2309
    // =============================================================

    /**
     * @dev Emitted when tokens in `fromTokenId` to `toTokenId`
     * (inclusive) is transferred from `from` to `to`, as defined in the
     * [ERC2309](https://eips.ethereum.org/EIPS/eip-2309) standard.
     *
     * See {_mintERC2309} for more details.
     */
    event ConsecutiveTransfer(uint256 indexed fromTokenId, uint256 toTokenId, address indexed from, address indexed to);
}


// File erc721a/contracts/ERC721A.sol@v4.2.2


// ERC721A Contracts v4.2.2
// Creator: Chiru Labs

pragma solidity ^0.8.4;

/**
 * @dev Interface of ERC721 token receiver.
 */
interface ERC721A__IERC721Receiver {
    function onERC721Received(
        address operator,
        address from,
        uint256 tokenId,
        bytes calldata data
    ) external returns (bytes4);
}

/**
 * @title ERC721A
 *
 * @dev Implementation of the [ERC721](https://eips.ethereum.org/EIPS/eip-721)
 * Non-Fungible Token Standard, including the Metadata extension.
 * Optimized for lower gas during batch mints.
 *
 * Token IDs are minted in sequential order (e.g. 0, 1, 2, 3, ...)
 * starting from `_startTokenId()`.
 *
 * Assumptions:
 *
 * - An owner cannot have more than 2**64 - 1 (max value of uint64) of supply.
 * - The maximum token ID cannot exceed 2**256 - 1 (max value of uint256).
 */
contract ERC721A is IERC721A {
    // Reference type for token approval.
    struct TokenApprovalRef {
        address value;
    }

    // =============================================================
    //                           CONSTANTS
    // =============================================================

    // Mask of an entry in packed address data.
    uint256 private constant _BITMASK_ADDRESS_DATA_ENTRY = (1 << 64) - 1;

    // The bit position of `numberMinted` in packed address data.
    uint256 private constant _BITPOS_NUMBER_MINTED = 64;

    // The bit position of `numberBurned` in packed address data.
    uint256 private constant _BITPOS_NUMBER_BURNED = 128;

    // The bit position of `aux` in packed address data.
    uint256 private constant _BITPOS_AUX = 192;

    // Mask of all 256 bits in packed address data except the 64 bits for `aux`.
    uint256 private constant _BITMASK_AUX_COMPLEMENT = (1 << 192) - 1;

    // The bit position of `startTimestamp` in packed ownership.
    uint256 private constant _BITPOS_START_TIMESTAMP = 160;

    // The bit mask of the `burned` bit in packed ownership.
    uint256 private constant _BITMASK_BURNED = 1 << 224;

    // The bit position of the `nextInitialized` bit in packed ownership.
    uint256 private constant _BITPOS_NEXT_INITIALIZED = 225;

    // The bit mask of the `nextInitialized` bit in packed ownership.
    uint256 private constant _BITMASK_NEXT_INITIALIZED = 1 << 225;

    // The bit position of `extraData` in packed ownership.
    uint256 private constant _BITPOS_EXTRA_DATA = 232;

    // Mask of all 256 bits in a packed ownership except the 24 bits for `extraData`.
    uint256 private constant _BITMASK_EXTRA_DATA_COMPLEMENT = (1 << 232) - 1;

    // The mask of the lower 160 bits for addresses.
    uint256 private constant _BITMASK_ADDRESS = (1 << 160) - 1;

    // The maximum `quantity` that can be minted with {_mintERC2309}.
    // This limit is to prevent overflows on the address data entries.
    // For a limit of 5000, a total of 3.689e15 calls to {_mintERC2309}
    // is required to cause an overflow, which is unrealistic.
    uint256 private constant _MAX_MINT_ERC2309_QUANTITY_LIMIT = 5000;

    // The `Transfer` event signature is given by:
    // `keccak256(bytes("Transfer(address,address,uint256)"))`.
    bytes32 private constant _TRANSFER_EVENT_SIGNATURE =
        0xddf252ad1be2c89b69c2b068fc378daa952ba7f163c4a11628f55a4df523b3ef;

    // =============================================================
    //                            STORAGE
    // =============================================================

    // The next token ID to be minted.
    uint256 private _currentIndex;

    // The number of tokens burned.
    uint256 private _burnCounter;

    // Token name
    string private _name;

    // Token symbol
    string private _symbol;

    // Mapping from token ID to ownership details
    // An empty struct value does not necessarily mean the token is unowned.
    // See {_packedOwnershipOf} implementation for details.
    //
    // Bits Layout:
    // - [0..159]   `addr`
    // - [160..223] `startTimestamp`
    // - [224]      `burned`
    // - [225]      `nextInitialized`
    // - [232..255] `extraData`
    mapping(uint256 => uint256) private _packedOwnerships;

    // Mapping owner address to address data.
    //
    // Bits Layout:
    // - [0..63]    `balance`
    // - [64..127]  `numberMinted`
    // - [128..191] `numberBurned`
    // - [192..255] `aux`
    mapping(address => uint256) private _packedAddressData;

    // Mapping from token ID to approved address.
    mapping(uint256 => TokenApprovalRef) private _tokenApprovals;

    // Mapping from owner to operator approvals
    mapping(address => mapping(address => bool)) private _operatorApprovals;

    // =============================================================
    //                          CONSTRUCTOR
    // =============================================================

    constructor(string memory name_, string memory symbol_) {
        _name = name_;
        _symbol = symbol_;
        _currentIndex = _startTokenId();
    }

    // =============================================================
    //                   TOKEN COUNTING OPERATIONS
    // =============================================================

    /**
     * @dev Returns the starting token ID.
     * To change the starting token ID, please override this function.
     */
    function _startTokenId() internal view virtual returns (uint256) {
        return 0;
    }

    /**
     * @dev Returns the next token ID to be minted.
     */
    function _nextTokenId() internal view virtual returns (uint256) {
        return _currentIndex;
    }

    /**
     * @dev Returns the total number of tokens in existence.
     * Burned tokens will reduce the count.
     * To get the total number of tokens minted, please see {_totalMinted}.
     */
    function totalSupply() public view virtual override returns (uint256) {
        // Counter underflow is impossible as _burnCounter cannot be incremented
        // more than `_currentIndex - _startTokenId()` times.
        unchecked {
            return _currentIndex - _burnCounter - _startTokenId();
        }
    }

    /**
     * @dev Returns the total amount of tokens minted in the contract.
     */
    function _totalMinted() internal view virtual returns (uint256) {
        // Counter underflow is impossible as `_currentIndex` does not decrement,
        // and it is initialized to `_startTokenId()`.
        unchecked {
            return _currentIndex - _startTokenId();
        }
    }

    /**
     * @dev Returns the total number of tokens burned.
     */
    function _totalBurned() internal view virtual returns (uint256) {
        return _burnCounter;
    }

    // =============================================================
    //                    ADDRESS DATA OPERATIONS
    // =============================================================

    /**
     * @dev Returns the number of tokens in `owner`'s account.
     */
    function balanceOf(address owner) public view virtual override returns (uint256) {
        if (owner == address(0)) revert BalanceQueryForZeroAddress();
        return _packedAddressData[owner] & _BITMASK_ADDRESS_DATA_ENTRY;
    }

    /**
     * Returns the number of tokens minted by `owner`.
     */
    function _numberMinted(address owner) internal view returns (uint256) {
        return (_packedAddressData[owner] >> _BITPOS_NUMBER_MINTED) & _BITMASK_ADDRESS_DATA_ENTRY;
    }

    /**
     * Returns the number of tokens burned by or on behalf of `owner`.
     */
    function _numberBurned(address owner) internal view returns (uint256) {
        return (_packedAddressData[owner] >> _BITPOS_NUMBER_BURNED) & _BITMASK_ADDRESS_DATA_ENTRY;
    }

    /**
     * Returns the auxiliary data for `owner`. (e.g. number of whitelist mint slots used).
     */
    function _getAux(address owner) internal view returns (uint64) {
        return uint64(_packedAddressData[owner] >> _BITPOS_AUX);
    }

    /**
     * Sets the auxiliary data for `owner`. (e.g. number of whitelist mint slots used).
     * If there are multiple variables, please pack them into a uint64.
     */
    function _setAux(address owner, uint64 aux) internal virtual {
        uint256 packed = _packedAddressData[owner];
        uint256 auxCasted;
        // Cast `aux` with assembly to avoid redundant masking.
        assembly {
            auxCasted := aux
        }
        packed = (packed & _BITMASK_AUX_COMPLEMENT) | (auxCasted << _BITPOS_AUX);
        _packedAddressData[owner] = packed;
    }

    // =============================================================
    //                            IERC165
    // =============================================================

    /**
     * @dev Returns true if this contract implements the interface defined by
     * `interfaceId`. See the corresponding
     * [EIP section](https://eips.ethereum.org/EIPS/eip-165#how-interfaces-are-identified)
     * to learn more about how these ids are created.
     *
     * This function call must use less than 30000 gas.
     */
    function supportsInterface(bytes4 interfaceId) public view virtual override returns (bool) {
        // The interface IDs are constants representing the first 4 bytes
        // of the XOR of all function selectors in the interface.
        // See: [ERC165](https://eips.ethereum.org/EIPS/eip-165)
        // (e.g. `bytes4(i.functionA.selector ^ i.functionB.selector ^ ...)`)
        return
            interfaceId == 0x01ffc9a7 || // ERC165 interface ID for ERC165.
            interfaceId == 0x80ac58cd || // ERC165 interface ID for ERC721.
            interfaceId == 0x5b5e139f; // ERC165 interface ID for ERC721Metadata.
    }

    // =============================================================
    //                        IERC721Metadata
    // =============================================================

    /**
     * @dev Returns the token collection name.
     */
    function name() public view virtual override returns (string memory) {
        return _name;
    }

    /**
     * @dev Returns the token collection symbol.
     */
    function symbol() public view virtual override returns (string memory) {
        return _symbol;
    }

    /**
     * @dev Returns the Uniform Resource Identifier (URI) for `tokenId` token.
     */
    function tokenURI(uint256 tokenId) public view virtual override returns (string memory) {
        if (!_exists(tokenId)) revert URIQueryForNonexistentToken();

        string memory baseURI = _baseURI();
        return bytes(baseURI).length != 0 ? string(abi.encodePacked(baseURI, _toString(tokenId))) : '';
    }

    /**
     * @dev Base URI for computing {tokenURI}. If set, the resulting URI for each
     * token will be the concatenation of the `baseURI` and the `tokenId`. Empty
     * by default, it can be overridden in child contracts.
     */
    function _baseURI() internal view virtual returns (string memory) {
        return '';
    }

    // =============================================================
    //                     OWNERSHIPS OPERATIONS
    // =============================================================

    /**
     * @dev Returns the owner of the `tokenId` token.
     *
     * Requirements:
     *
     * - `tokenId` must exist.
     */
    function ownerOf(uint256 tokenId) public view virtual override returns (address) {
        return address(uint160(_packedOwnershipOf(tokenId)));
    }

    /**
     * @dev Gas spent here starts off proportional to the maximum mint batch size.
     * It gradually moves to O(1) as tokens get transferred around over time.
     */
    function _ownershipOf(uint256 tokenId) internal view virtual returns (TokenOwnership memory) {
        return _unpackedOwnership(_packedOwnershipOf(tokenId));
    }

    /**
     * @dev Returns the unpacked `TokenOwnership` struct at `index`.
     */
    function _ownershipAt(uint256 index) internal view virtual returns (TokenOwnership memory) {
        return _unpackedOwnership(_packedOwnerships[index]);
    }

    /**
     * @dev Initializes the ownership slot minted at `index` for efficiency purposes.
     */
    function _initializeOwnershipAt(uint256 index) internal virtual {
        if (_packedOwnerships[index] == 0) {
            _packedOwnerships[index] = _packedOwnershipOf(index);
        }
    }

    /**
     * Returns the packed ownership data of `tokenId`.
     */
    function _packedOwnershipOf(uint256 tokenId) private view returns (uint256) {
        uint256 curr = tokenId;

        unchecked {
            if (_startTokenId() <= curr)
                if (curr < _currentIndex) {
                    uint256 packed = _packedOwnerships[curr];
                    // If not burned.
                    if (packed & _BITMASK_BURNED == 0) {
                        // Invariant:
                        // There will always be an initialized ownership slot
                        // (i.e. `ownership.addr != address(0) && ownership.burned == false`)
                        // before an unintialized ownership slot
                        // (i.e. `ownership.addr == address(0) && ownership.burned == false`)
                        // Hence, `curr` will not underflow.
                        //
                        // We can directly compare the packed value.
                        // If the address is zero, packed will be zero.
                        while (packed == 0) {
                            packed = _packedOwnerships[--curr];
                        }
                        return packed;
                    }
                }
        }
        revert OwnerQueryForNonexistentToken();
    }

    /**
     * @dev Returns the unpacked `TokenOwnership` struct from `packed`.
     */
    function _unpackedOwnership(uint256 packed) private pure returns (TokenOwnership memory ownership) {
        ownership.addr = address(uint160(packed));
        ownership.startTimestamp = uint64(packed >> _BITPOS_START_TIMESTAMP);
        ownership.burned = packed & _BITMASK_BURNED != 0;
        ownership.extraData = uint24(packed >> _BITPOS_EXTRA_DATA);
    }

    /**
     * @dev Packs ownership data into a single uint256.
     */
    function _packOwnershipData(address owner, uint256 flags) private view returns (uint256 result) {
        assembly {
            // Mask `owner` to the lower 160 bits, in case the upper bits somehow aren't clean.
            owner := and(owner, _BITMASK_ADDRESS)
            // `owner | (block.timestamp << _BITPOS_START_TIMESTAMP) | flags`.
            result := or(owner, or(shl(_BITPOS_START_TIMESTAMP, timestamp()), flags))
        }
    }

    /**
     * @dev Returns the `nextInitialized` flag set if `quantity` equals 1.
     */
    function _nextInitializedFlag(uint256 quantity) private pure returns (uint256 result) {
        // For branchless setting of the `nextInitialized` flag.
        assembly {
            // `(quantity == 1) << _BITPOS_NEXT_INITIALIZED`.
            result := shl(_BITPOS_NEXT_INITIALIZED, eq(quantity, 1))
        }
    }

    // =============================================================
    //                      APPROVAL OPERATIONS
    // =============================================================

    /**
     * @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) public virtual override {
        address owner = ownerOf(tokenId);

        if (_msgSenderERC721A() != owner)
            if (!isApprovedForAll(owner, _msgSenderERC721A())) {
                revert ApprovalCallerNotOwnerNorApproved();
            }

        _tokenApprovals[tokenId].value = to;
        emit Approval(owner, to, tokenId);
    }

    /**
     * @dev Returns the account approved for `tokenId` token.
     *
     * Requirements:
     *
     * - `tokenId` must exist.
     */
    function getApproved(uint256 tokenId) public view virtual override returns (address) {
        if (!_exists(tokenId)) revert ApprovalQueryForNonexistentToken();

        return _tokenApprovals[tokenId].value;
    }

    /**
     * @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) public virtual override {
        if (operator == _msgSenderERC721A()) revert ApproveToCaller();

        _operatorApprovals[_msgSenderERC721A()][operator] = approved;
        emit ApprovalForAll(_msgSenderERC721A(), operator, approved);
    }

    /**
     * @dev Returns if the `operator` is allowed to manage all of the assets of `owner`.
     *
     * See {setApprovalForAll}.
     */
    function isApprovedForAll(address owner, address operator) public view virtual override returns (bool) {
        return _operatorApprovals[owner][operator];
    }

    /**
     * @dev Returns whether `tokenId` exists.
     *
     * Tokens can be managed by their owner or approved accounts via {approve} or {setApprovalForAll}.
     *
     * Tokens start existing when they are minted. See {_mint}.
     */
    function _exists(uint256 tokenId) internal view virtual returns (bool) {
        return
            _startTokenId() <= tokenId &&
            tokenId < _currentIndex && // If within bounds,
            _packedOwnerships[tokenId] & _BITMASK_BURNED == 0; // and not burned.
    }

    /**
     * @dev Returns whether `msgSender` is equal to `approvedAddress` or `owner`.
     */
    function _isSenderApprovedOrOwner(
        address approvedAddress,
        address owner,
        address msgSender
    ) private pure returns (bool result) {
        assembly {
            // Mask `owner` to the lower 160 bits, in case the upper bits somehow aren't clean.
            owner := and(owner, _BITMASK_ADDRESS)
            // Mask `msgSender` to the lower 160 bits, in case the upper bits somehow aren't clean.
            msgSender := and(msgSender, _BITMASK_ADDRESS)
            // `msgSender == owner || msgSender == approvedAddress`.
            result := or(eq(msgSender, owner), eq(msgSender, approvedAddress))
        }
    }

    /**
     * @dev Returns the storage slot and value for the approved address of `tokenId`.
     */
    function _getApprovedSlotAndAddress(uint256 tokenId)
        private
        view
        returns (uint256 approvedAddressSlot, address approvedAddress)
    {
        TokenApprovalRef storage tokenApproval = _tokenApprovals[tokenId];
        // The following is equivalent to `approvedAddress = _tokenApprovals[tokenId]`.
        assembly {
            approvedAddressSlot := tokenApproval.slot
            approvedAddress := sload(approvedAddressSlot)
        }
    }

    // =============================================================
    //                      TRANSFER OPERATIONS
    // =============================================================

    /**
     * @dev Transfers `tokenId` from `from` to `to`.
     *
     * 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
    ) public virtual override {
        uint256 prevOwnershipPacked = _packedOwnershipOf(tokenId);

        if (address(uint160(prevOwnershipPacked)) != from) revert TransferFromIncorrectOwner();

        (uint256 approvedAddressSlot, address approvedAddress) = _getApprovedSlotAndAddress(tokenId);

        // The nested ifs save around 20+ gas over a compound boolean condition.
        if (!_isSenderApprovedOrOwner(approvedAddress, from, _msgSenderERC721A()))
            if (!isApprovedForAll(from, _msgSenderERC721A())) revert TransferCallerNotOwnerNorApproved();

        if (to == address(0)) revert TransferToZeroAddress();

        _beforeTokenTransfers(from, to, tokenId, 1);

        // Clear approvals from the previous owner.
        assembly {
            if approvedAddress {
                // This is equivalent to `delete _tokenApprovals[tokenId]`.
                sstore(approvedAddressSlot, 0)
            }
        }

        // Underflow of the sender's balance is impossible because we check for
        // ownership above and the recipient's balance can't realistically overflow.
        // Counter overflow is incredibly unrealistic as `tokenId` would have to be 2**256.
        unchecked {
            // We can directly increment and decrement the balances.
            --_packedAddressData[from]; // Updates: `balance -= 1`.
            ++_packedAddressData[to]; // Updates: `balance += 1`.

            // Updates:
            // - `address` to the next owner.
            // - `startTimestamp` to the timestamp of transfering.
            // - `burned` to `false`.
            // - `nextInitialized` to `true`.
            _packedOwnerships[tokenId] = _packOwnershipData(
                to,
                _BITMASK_NEXT_INITIALIZED | _nextExtraData(from, to, prevOwnershipPacked)
            );

            // If the next slot may not have been initialized (i.e. `nextInitialized == false`) .
            if (prevOwnershipPacked & _BITMASK_NEXT_INITIALIZED == 0) {
                uint256 nextTokenId = tokenId + 1;
                // If the next slot's address is zero and not burned (i.e. packed value is zero).
                if (_packedOwnerships[nextTokenId] == 0) {
                    // If the next slot is within bounds.
                    if (nextTokenId != _currentIndex) {
                        // Initialize the next slot to maintain correctness for `ownerOf(tokenId + 1)`.
                        _packedOwnerships[nextTokenId] = prevOwnershipPacked;
                    }
                }
            }
        }

        emit Transfer(from, to, tokenId);
        _afterTokenTransfers(from, to, tokenId, 1);
    }

    /**
     * @dev Equivalent to `safeTransferFrom(from, to, tokenId, '')`.
     */
    function safeTransferFrom(
        address from,
        address to,
        uint256 tokenId
    ) public virtual override {
        safeTransferFrom(from, to, tokenId, '');
    }

    /**
     * @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 memory _data
    ) public virtual override {
        transferFrom(from, to, tokenId);
        if (to.code.length != 0)
            if (!_checkContractOnERC721Received(from, to, tokenId, _data)) {
                revert TransferToNonERC721ReceiverImplementer();
            }
    }

    /**
     * @dev Hook that is called before a set of serially-ordered token IDs
     * are about to be transferred. This includes minting.
     * And also called before burning one token.
     *
     * `startTokenId` - the first token ID to be transferred.
     * `quantity` - the amount to be transferred.
     *
     * Calling conditions:
     *
     * - When `from` and `to` are both non-zero, `from`'s `tokenId` will be
     * transferred to `to`.
     * - When `from` is zero, `tokenId` will be minted for `to`.
     * - When `to` is zero, `tokenId` will be burned by `from`.
     * - `from` and `to` are never both zero.
     */
    function _beforeTokenTransfers(
        address from,
        address to,
        uint256 startTokenId,
        uint256 quantity
    ) internal virtual {}

    /**
     * @dev Hook that is called after a set of serially-ordered token IDs
     * have been transferred. This includes minting.
     * And also called after one token has been burned.
     *
     * `startTokenId` - the first token ID to be transferred.
     * `quantity` - the amount to be transferred.
     *
     * Calling conditions:
     *
     * - When `from` and `to` are both non-zero, `from`'s `tokenId` has been
     * transferred to `to`.
     * - When `from` is zero, `tokenId` has been minted for `to`.
     * - When `to` is zero, `tokenId` has been burned by `from`.
     * - `from` and `to` are never both zero.
     */
    function _afterTokenTransfers(
        address from,
        address to,
        uint256 startTokenId,
        uint256 quantity
    ) internal virtual {}

    /**
     * @dev Private function to invoke {IERC721Receiver-onERC721Received} on a target contract.
     *
     * `from` - Previous owner of the given token ID.
     * `to` - Target address that will receive the token.
     * `tokenId` - Token ID to be transferred.
     * `_data` - Optional data to send along with the call.
     *
     * Returns whether the call correctly returned the expected magic value.
     */
    function _checkContractOnERC721Received(
        address from,
        address to,
        uint256 tokenId,
        bytes memory _data
    ) private returns (bool) {
        try ERC721A__IERC721Receiver(to).onERC721Received(_msgSenderERC721A(), from, tokenId, _data) returns (
            bytes4 retval
        ) {
            return retval == ERC721A__IERC721Receiver(to).onERC721Received.selector;
        } catch (bytes memory reason) {
            if (reason.length == 0) {
                revert TransferToNonERC721ReceiverImplementer();
            } else {
                assembly {
                    revert(add(32, reason), mload(reason))
                }
            }
        }
    }

    // =============================================================
    //                        MINT OPERATIONS
    // =============================================================

    /**
     * @dev Mints `quantity` tokens and transfers them to `to`.
     *
     * Requirements:
     *
     * - `to` cannot be the zero address.
     * - `quantity` must be greater than 0.
     *
     * Emits a {Transfer} event for each mint.
     */
    function _mint(address to, uint256 quantity) internal virtual {
        uint256 startTokenId = _currentIndex;
        if (quantity == 0) revert MintZeroQuantity();

        _beforeTokenTransfers(address(0), to, startTokenId, quantity);

        // Overflows are incredibly unrealistic.
        // `balance` and `numberMinted` have a maximum limit of 2**64.
        // `tokenId` has a maximum limit of 2**256.
        unchecked {
            // Updates:
            // - `balance += quantity`.
            // - `numberMinted += quantity`.
            //
            // We can directly add to the `balance` and `numberMinted`.
            _packedAddressData[to] += quantity * ((1 << _BITPOS_NUMBER_MINTED) | 1);

            // Updates:
            // - `address` to the owner.
            // - `startTimestamp` to the timestamp of minting.
            // - `burned` to `false`.
            // - `nextInitialized` to `quantity == 1`.
            _packedOwnerships[startTokenId] = _packOwnershipData(
                to,
                _nextInitializedFlag(quantity) | _nextExtraData(address(0), to, 0)
            );

            uint256 toMasked;
            uint256 end = startTokenId + quantity;

            // Use assembly to loop and emit the `Transfer` event for gas savings.
            assembly {
                // Mask `to` to the lower 160 bits, in case the upper bits somehow aren't clean.
                toMasked := and(to, _BITMASK_ADDRESS)
                // Emit the `Transfer` event.
                log4(
                    0, // Start of data (0, since no data).
                    0, // End of data (0, since no data).
                    _TRANSFER_EVENT_SIGNATURE, // Signature.
                    0, // `address(0)`.
                    toMasked, // `to`.
                    startTokenId // `tokenId`.
                )

                for {
                    let tokenId := add(startTokenId, 1)
                } iszero(eq(tokenId, end)) {
                    tokenId := add(tokenId, 1)
                } {
                    // Emit the `Transfer` event. Similar to above.
                    log4(0, 0, _TRANSFER_EVENT_SIGNATURE, 0, toMasked, tokenId)
                }
            }
            if (toMasked == 0) revert MintToZeroAddress();

            _currentIndex = end;
        }
        _afterTokenTransfers(address(0), to, startTokenId, quantity);
    }

    /**
     * @dev Mints `quantity` tokens and transfers them to `to`.
     *
     * This function is intended for efficient minting only during contract creation.
     *
     * It emits only one {ConsecutiveTransfer} as defined in
     * [ERC2309](https://eips.ethereum.org/EIPS/eip-2309),
     * instead of a sequence of {Transfer} event(s).
     *
     * Calling this function outside of contract creation WILL make your contract
     * non-compliant with the ERC721 standard.
     * For full ERC721 compliance, substituting ERC721 {Transfer} event(s) with the ERC2309
     * {ConsecutiveTransfer} event is only permissible during contract creation.
     *
     * Requirements:
     *
     * - `to` cannot be the zero address.
     * - `quantity` must be greater than 0.
     *
     * Emits a {ConsecutiveTransfer} event.
     */
    function _mintERC2309(address to, uint256 quantity) internal virtual {
        uint256 startTokenId = _currentIndex;
        if (to == address(0)) revert MintToZeroAddress();
        if (quantity == 0) revert MintZeroQuantity();
        if (quantity > _MAX_MINT_ERC2309_QUANTITY_LIMIT) revert MintERC2309QuantityExceedsLimit();

        _beforeTokenTransfers(address(0), to, startTokenId, quantity);

        // Overflows are unrealistic due to the above check for `quantity` to be below the limit.
        unchecked {
            // Updates:
            // - `balance += quantity`.
            // - `numberMinted += quantity`.
            //
            // We can directly add to the `balance` and `numberMinted`.
            _packedAddressData[to] += quantity * ((1 << _BITPOS_NUMBER_MINTED) | 1);

            // Updates:
            // - `address` to the owner.
            // - `startTimestamp` to the timestamp of minting.
            // - `burned` to `false`.
            // - `nextInitialized` to `quantity == 1`.
            _packedOwnerships[startTokenId] = _packOwnershipData(
                to,
                _nextInitializedFlag(quantity) | _nextExtraData(address(0), to, 0)
            );

            emit ConsecutiveTransfer(startTokenId, startTokenId + quantity - 1, address(0), to);

            _currentIndex = startTokenId + quantity;
        }
        _afterTokenTransfers(address(0), to, startTokenId, quantity);
    }

    /**
     * @dev Safely mints `quantity` tokens and transfers them to `to`.
     *
     * Requirements:
     *
     * - If `to` refers to a smart contract, it must implement
     * {IERC721Receiver-onERC721Received}, which is called for each safe transfer.
     * - `quantity` must be greater than 0.
     *
     * See {_mint}.
     *
     * Emits a {Transfer} event for each mint.
     */
    function _safeMint(
        address to,
        uint256 quantity,
        bytes memory _data
    ) internal virtual {
        _mint(to, quantity);

        unchecked {
            if (to.code.length != 0) {
                uint256 end = _currentIndex;
                uint256 index = end - quantity;
                do {
                    if (!_checkContractOnERC721Received(address(0), to, index++, _data)) {
                        revert TransferToNonERC721ReceiverImplementer();
                    }
                } while (index < end);
                // Reentrancy protection.
                if (_currentIndex != end) revert();
            }
        }
    }

    /**
     * @dev Equivalent to `_safeMint(to, quantity, '')`.
     */
    function _safeMint(address to, uint256 quantity) internal virtual {
        _safeMint(to, quantity, '');
    }

    // =============================================================
    //                        BURN OPERATIONS
    // =============================================================

    /**
     * @dev Equivalent to `_burn(tokenId, false)`.
     */
    function _burn(uint256 tokenId) internal virtual {
        _burn(tokenId, false);
    }

    /**
     * @dev Destroys `tokenId`.
     * The approval is cleared when the token is burned.
     *
     * Requirements:
     *
     * - `tokenId` must exist.
     *
     * Emits a {Transfer} event.
     */
    function _burn(uint256 tokenId, bool approvalCheck) internal virtual {
        uint256 prevOwnershipPacked = _packedOwnershipOf(tokenId);

        address from = address(uint160(prevOwnershipPacked));

        (uint256 approvedAddressSlot, address approvedAddress) = _getApprovedSlotAndAddress(tokenId);

        if (approvalCheck) {
            // The nested ifs save around 20+ gas over a compound boolean condition.
            if (!_isSenderApprovedOrOwner(approvedAddress, from, _msgSenderERC721A()))
                if (!isApprovedForAll(from, _msgSenderERC721A())) revert TransferCallerNotOwnerNorApproved();
        }

        _beforeTokenTransfers(from, address(0), tokenId, 1);

        // Clear approvals from the previous owner.
        assembly {
            if approvedAddress {
                // This is equivalent to `delete _tokenApprovals[tokenId]`.
                sstore(approvedAddressSlot, 0)
            }
        }

        // Underflow of the sender's balance is impossible because we check for
        // ownership above and the recipient's balance can't realistically overflow.
        // Counter overflow is incredibly unrealistic as `tokenId` would have to be 2**256.
        unchecked {
            // Updates:
            // - `balance -= 1`.
            // - `numberBurned += 1`.
            //
            // We can directly decrement the balance, and increment the number burned.
            // This is equivalent to `packed -= 1; packed += 1 << _BITPOS_NUMBER_BURNED;`.
            _packedAddressData[from] += (1 << _BITPOS_NUMBER_BURNED) - 1;

            // Updates:
            // - `address` to the last owner.
            // - `startTimestamp` to the timestamp of burning.
            // - `burned` to `true`.
            // - `nextInitialized` to `true`.
            _packedOwnerships[tokenId] = _packOwnershipData(
                from,
                (_BITMASK_BURNED | _BITMASK_NEXT_INITIALIZED) | _nextExtraData(from, address(0), prevOwnershipPacked)
            );

            // If the next slot may not have been initialized (i.e. `nextInitialized == false`) .
            if (prevOwnershipPacked & _BITMASK_NEXT_INITIALIZED == 0) {
                uint256 nextTokenId = tokenId + 1;
                // If the next slot's address is zero and not burned (i.e. packed value is zero).
                if (_packedOwnerships[nextTokenId] == 0) {
                    // If the next slot is within bounds.
                    if (nextTokenId != _currentIndex) {
                        // Initialize the next slot to maintain correctness for `ownerOf(tokenId + 1)`.
                        _packedOwnerships[nextTokenId] = prevOwnershipPacked;
                    }
                }
            }
        }

        emit Transfer(from, address(0), tokenId);
        _afterTokenTransfers(from, address(0), tokenId, 1);

        // Overflow not possible, as _burnCounter cannot be exceed _currentIndex times.
        unchecked {
            _burnCounter++;
        }
    }

    // =============================================================
    //                     EXTRA DATA OPERATIONS
    // =============================================================

    /**
     * @dev Directly sets the extra data for the ownership data `index`.
     */
    function _setExtraDataAt(uint256 index, uint24 extraData) internal virtual {
        uint256 packed = _packedOwnerships[index];
        if (packed == 0) revert OwnershipNotInitializedForExtraData();
        uint256 extraDataCasted;
        // Cast `extraData` with assembly to avoid redundant masking.
        assembly {
            extraDataCasted := extraData
        }
        packed = (packed & _BITMASK_EXTRA_DATA_COMPLEMENT) | (extraDataCasted << _BITPOS_EXTRA_DATA);
        _packedOwnerships[index] = packed;
    }

    /**
     * @dev Called during each token transfer to set the 24bit `extraData` field.
     * Intended to be overridden by the cosumer contract.
     *
     * `previousExtraData` - the value of `extraData` before transfer.
     *
     * Calling conditions:
     *
     * - When `from` and `to` are both non-zero, `from`'s `tokenId` will be
     * transferred to `to`.
     * - When `from` is zero, `tokenId` will be minted for `to`.
     * - When `to` is zero, `tokenId` will be burned by `from`.
     * - `from` and `to` are never both zero.
     */
    function _extraData(
        address from,
        address to,
        uint24 previousExtraData
    ) internal view virtual returns (uint24) {}

    /**
     * @dev Returns the next extra data for the packed ownership data.
     * The returned result is shifted into position.
     */
    function _nextExtraData(
        address from,
        address to,
        uint256 prevOwnershipPacked
    ) private view returns (uint256) {
        uint24 extraData = uint24(prevOwnershipPacked >> _BITPOS_EXTRA_DATA);
        return uint256(_extraData(from, to, extraData)) << _BITPOS_EXTRA_DATA;
    }

    // =============================================================
    //                       OTHER OPERATIONS
    // =============================================================

    /**
     * @dev Returns the message sender (defaults to `msg.sender`).
     *
     * If you are writing GSN compatible contracts, you need to override this function.
     */
    function _msgSenderERC721A() internal view virtual returns (address) {
        return msg.sender;
    }

    /**
     * @dev Converts a uint256 to its ASCII string decimal representation.
     */
    function _toString(uint256 value) internal pure virtual returns (string memory str) {
        assembly {
            // The maximum value of a uint256 contains 78 digits (1 byte per digit),
            // but we allocate 0x80 bytes to keep the free memory pointer 32-byte word aliged.
            // We will need 1 32-byte word to store the length,
            // and 3 32-byte words to store a maximum of 78 digits. Total: 0x20 + 3 * 0x20 = 0x80.
            str := add(mload(0x40), 0x80)
            // Update the free memory pointer to allocate.
            mstore(0x40, str)

            // Cache the end of the memory to calculate the length later.
            let end := str

            // We write the string from rightmost digit to leftmost digit.
            // The following is essentially a do-while loop that also handles the zero case.
            // prettier-ignore
            for { let temp := value } 1 {} {
                str := sub(str, 1)
                // Write the character to the pointer.
                // The ASCII index of the '0' character is 48.
                mstore8(str, add(48, mod(temp, 10)))
                // Keep dividing `temp` until zero.
                temp := div(temp, 10)
                // prettier-ignore
                if iszero(temp) { break }
            }

            let length := sub(end, str)
            // Move the pointer 32 bytes leftwards to make room for the length.
            str := sub(str, 0x20)
            // Store the length.
            mstore(str, length)
        }
    }
}


// File @openzeppelin/contracts/utils/Counters.sol@v4.7.0

// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts v4.4.1 (utils/Counters.sol)

pragma solidity ^0.8.0;

/**
 * @title Counters
 * @author Matt Condon (@shrugs)
 * @dev Provides counters that can only be incremented, decremented or reset. This can be used e.g. to track the number
 * of elements in a mapping, issuing ERC721 ids, or counting request ids.
 *
 * Include with `using Counters for Counters.Counter;`
 */
library Counters {
    struct Counter {
        // This variable should never be directly accessed by users of the library: interactions must be restricted to
        // the library's function. As of Solidity v0.5.2, this cannot be enforced, though there is a proposal to add
        // this feature: see https://github.com/ethereum/solidity/issues/4637
        uint256 _value; // default: 0
    }

    function current(Counter storage counter) internal view returns (uint256) {
        return counter._value;
    }

    function increment(Counter storage counter) internal {
        unchecked {
            counter._value += 1;
        }
    }

    function decrement(Counter storage counter) internal {
        uint256 value = counter._value;
        require(value > 0, "Counter: decrement overflow");
        unchecked {
            counter._value = value - 1;
        }
    }

    function reset(Counter storage counter) internal {
        counter._value = 0;
    }
}


// File @openzeppelin/contracts/utils/math/SafeMath.sol@v4.7.0


// OpenZeppelin Contracts (last updated v4.6.0) (utils/math/SafeMath.sol)

pragma solidity ^0.8.0;

// CAUTION
// This version of SafeMath should only be used with Solidity 0.8 or later,
// because it relies on the compiler's built in overflow checks.

/**
 * @dev Wrappers over Solidity's arithmetic operations.
 *
 * NOTE: `SafeMath` is generally not needed starting with Solidity 0.8, since the compiler
 * now has built in overflow checking.
 */
library SafeMath {
    /**
     * @dev Returns the addition of two unsigned integers, with an overflow flag.
     *
     * _Available since v3.4._
     */
    function tryAdd(uint256 a, uint256 b) internal pure returns (bool, uint256) {
        unchecked {
            uint256 c = a + b;
            if (c < a) return (false, 0);
            return (true, c);
        }
    }

    /**
     * @dev Returns the subtraction of two unsigned integers, with an overflow flag.
     *
     * _Available since v3.4._
     */
    function trySub(uint256 a, uint256 b) internal pure returns (bool, uint256) {
        unchecked {
            if (b > a) return (false, 0);
            return (true, a - b);
        }
    }

    /**
     * @dev Returns the multiplication of two unsigned integers, with an overflow flag.
     *
     * _Available since v3.4._
     */
    function tryMul(uint256 a, uint256 b) internal pure returns (bool, uint256) {
        unchecked {
            // Gas optimization: this is cheaper than requiring 'a' not being zero, but the
            // benefit is lost if 'b' is also tested.
            // See: https://github.com/OpenZeppelin/openzeppelin-contracts/pull/522
            if (a == 0) return (true, 0);
            uint256 c = a * b;
            if (c / a != b) return (false, 0);
            return (true, c);
        }
    }

    /**
     * @dev Returns the division of two unsigned integers, with a division by zero flag.
     *
     * _Available since v3.4._
     */
    function tryDiv(uint256 a, uint256 b) internal pure returns (bool, uint256) {
        unchecked {
            if (b == 0) return (false, 0);
            return (true, a / b);
        }
    }

    /**
     * @dev Returns the remainder of dividing two unsigned integers, with a division by zero flag.
     *
     * _Available since v3.4._
     */
    function tryMod(uint256 a, uint256 b) internal pure returns (bool, uint256) {
        unchecked {
            if (b == 0) return (false, 0);
            return (true, a % b);
        }
    }

    /**
     * @dev Returns the addition of two unsigned integers, reverting on
     * overflow.
     *
     * Counterpart to Solidity's `+` operator.
     *
     * Requirements:
     *
     * - Addition cannot overflow.
     */
    function add(uint256 a, uint256 b) internal pure returns (uint256) {
        return a + b;
    }

    /**
     * @dev Returns the subtraction of two unsigned integers, reverting on
     * overflow (when the result is negative).
     *
     * Counterpart to Solidity's `-` operator.
     *
     * Requirements:
     *
     * - Subtraction cannot overflow.
     */
    function sub(uint256 a, uint256 b) internal pure returns (uint256) {
        return a - b;
    }

    /**
     * @dev Returns the multiplication of two unsigned integers, reverting on
     * overflow.
     *
     * Counterpart to Solidity's `*` operator.
     *
     * Requirements:
     *
     * - Multiplication cannot overflow.
     */
    function mul(uint256 a, uint256 b) internal pure returns (uint256) {
        return a * b;
    }

    /**
     * @dev Returns the integer division of two unsigned integers, reverting on
     * division by zero. The result is rounded towards zero.
     *
     * Counterpart to Solidity's `/` operator.
     *
     * Requirements:
     *
     * - The divisor cannot be zero.
     */
    function div(uint256 a, uint256 b) internal pure returns (uint256) {
        return a / b;
    }

    /**
     * @dev Returns the remainder of dividing two unsigned integers. (unsigned integer modulo),
     * reverting when dividing by zero.
     *
     * Counterpart to Solidity's `%` operator. This function uses a `revert`
     * opcode (which leaves remaining gas untouched) while Solidity uses an
     * invalid opcode to revert (consuming all remaining gas).
     *
     * Requirements:
     *
     * - The divisor cannot be zero.
     */
    function mod(uint256 a, uint256 b) internal pure returns (uint256) {
        return a % b;
    }

    /**
     * @dev Returns the subtraction of two unsigned integers, reverting with custom message on
     * overflow (when the result is negative).
     *
     * CAUTION: This function is deprecated because it requires allocating memory for the error
     * message unnecessarily. For custom revert reasons use {trySub}.
     *
     * Counterpart to Solidity's `-` operator.
     *
     * Requirements:
     *
     * - Subtraction cannot overflow.
     */
    function sub(
        uint256 a,
        uint256 b,
        string memory errorMessage
    ) internal pure returns (uint256) {
        unchecked {
            require(b <= a, errorMessage);
            return a - b;
        }
    }

    /**
     * @dev Returns the integer division of two unsigned integers, reverting with custom message on
     * division by zero. The result is rounded towards zero.
     *
     * Counterpart to Solidity's `/` operator. Note: this function uses a
     * `revert` opcode (which leaves remaining gas untouched) while Solidity
     * uses an invalid opcode to revert (consuming all remaining gas).
     *
     * Requirements:
     *
     * - The divisor cannot be zero.
     */
    function div(
        uint256 a,
        uint256 b,
        string memory errorMessage
    ) internal pure returns (uint256) {
        unchecked {
            require(b > 0, errorMessage);
            return a / b;
        }
    }

    /**
     * @dev Returns the remainder of dividing two unsigned integers. (unsigned integer modulo),
     * reverting with custom message when dividing by zero.
     *
     * CAUTION: This function is deprecated because it requires allocating memory for the error
     * message unnecessarily. For custom revert reasons use {tryMod}.
     *
     * Counterpart to Solidity's `%` operator. This function uses a `revert`
     * opcode (which leaves remaining gas untouched) while Solidity uses an
     * invalid opcode to revert (consuming all remaining gas).
     *
     * Requirements:
     *
     * - The divisor cannot be zero.
     */
    function mod(
        uint256 a,
        uint256 b,
        string memory errorMessage
    ) internal pure returns (uint256) {
        unchecked {
            require(b > 0, errorMessage);
            return a % b;
        }
    }
}


// File @openzeppelin/contracts/utils/Strings.sol@v4.7.0


// OpenZeppelin Contracts (last updated v4.7.0) (utils/Strings.sol)

pragma solidity ^0.8.0;

/**
 * @dev String operations.
 */
library Strings {
    bytes16 private constant _HEX_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) {
        // Inspired by OraclizeAPI's implementation - MIT licence
        // https://github.com/oraclize/ethereum-api/blob/b42146b063c7d6ee1358846c198246239e9360e8/oraclizeAPI_0.4.25.sol

        if (value == 0) {
            return "0";
        }
        uint256 temp = value;
        uint256 digits;
        while (temp != 0) {
            digits++;
            temp /= 10;
        }
        bytes memory buffer = new bytes(digits);
        while (value != 0) {
            digits -= 1;
            buffer[digits] = bytes1(uint8(48 + uint256(value % 10)));
            value /= 10;
        }
        return string(buffer);
    }

    /**
     * @dev Converts a `uint256` to its ASCII `string` hexadecimal representation.
     */
    function toHexString(uint256 value) internal pure returns (string memory) {
        if (value == 0) {
            return "0x00";
        }
        uint256 temp = value;
        uint256 length = 0;
        while (temp != 0) {
            length++;
            temp >>= 8;
        }
        return toHexString(value, length);
    }

    /**
     * @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] = _HEX_SYMBOLS[value & 0xf];
            value >>= 4;
        }
        require(value == 0, "Strings: hex length insufficient");
        return string(buffer);
    }

    /**
     * @dev Converts an `address` with fixed length of 20 bytes to its not checksummed ASCII `string` hexadecimal representation.
     */
    function toHexString(address addr) internal pure returns (string memory) {
        return toHexString(uint256(uint160(addr)), _ADDRESS_LENGTH);
    }
}


// File @openzeppelin/contracts/utils/Context.sol@v4.7.0


// 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 @openzeppelin/contracts/access/Ownable.sol@v4.7.0


// OpenZeppelin Contracts (last updated v4.7.0) (access/Ownable.sol)

pragma solidity ^0.8.0;

/**
 * @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 contracts/utils/DynamicBuffer.sol

// Copyright (c) 2021 the ethier authors (github.com/divergencetech/ethier)

pragma solidity >=0.8.0;

/// @title DynamicBuffer
/// @author David Huber (@cxkoda) and Simon Fremaux (@dievardump). See also
///         https://raw.githubusercontent.com/dievardump/solidity-dynamic-buffer
/// @notice This library is used to allocate a big amount of container memory
//          which will be subsequently filled without needing to reallocate
///         memory.
/// @dev First, allocate memory.
///      Then use `buffer.appendUnchecked(theBytes)` or `appendSafe()` if
///      bounds checking is required.
library DynamicBuffer {
    /// @notice Allocates container space for the DynamicBuffer
    /// @param capacity The intended max amount of bytes in the buffer
    /// @return buffer The memory location of the buffer
    /// @dev Allocates `capacity + 0x60` bytes of space
    ///      The buffer array starts at the first container data position,
    ///      (i.e. `buffer = container + 0x20`)
    function allocate(uint256 capacity)
        internal
        pure
        returns (bytes memory buffer)
    {
        assembly {
            // Get next-free memory address
            let container := mload(0x40)

            // Allocate memory by setting a new next-free address
            {
                // Add 2 x 32 bytes in size for the two length fields
                // Add 32 bytes safety space for 32B chunked copy
                let size := add(capacity, 0x60)
                let newNextFree := add(container, size)
                mstore(0x40, newNextFree)
            }

            // Set the correct container length
            {
                let length := add(capacity, 0x40)
                mstore(container, length)
            }

            // The buffer starts at idx 1 in the container (0 is length)
            buffer := add(container, 0x20)

            // Init content with length 0
            mstore(buffer, 0)
        }

        return buffer;
    }

    /// @notice Appends data to buffer, and update buffer length
    /// @param buffer the buffer to append the data to
    /// @param data the data to append
    /// @dev Does not perform out-of-bound checks (container capacity)
    ///      for efficiency.
    function appendUnchecked(bytes memory buffer, bytes memory data)
        internal
        pure
    {
        assembly {
            let length := mload(data)
            for {
                data := add(data, 0x20)
                let dataEnd := add(data, length)
                let copyTo := add(buffer, add(mload(buffer), 0x20))
            } lt(data, dataEnd) {
                data := add(data, 0x20)
                copyTo := add(copyTo, 0x20)
            } {
                // Copy 32B chunks from data to buffer.
                // This may read over data array boundaries and copy invalid
                // bytes, which doesn't matter in the end since we will
                // later set the correct buffer length, and have allocated an
                // additional word to avoid buffer overflow.
                mstore(copyTo, mload(data))
            }

            // Update buffer length
            mstore(buffer, add(mload(buffer), length))
        }
    }

    /// @notice Appends data to buffer, and update buffer length
    /// @param buffer the buffer to append the data to
    /// @param data the data to append
    /// @dev Performs out-of-bound checks and calls `appendUnchecked`.
    function appendSafe(bytes memory buffer, bytes memory data) internal pure {
        uint256 capacity;
        uint256 length;
        assembly {
            capacity := sub(mload(sub(buffer, 0x20)), 0x40)
            length := mload(buffer)
        }

        require(
            length + data.length <= capacity,
            "DynamicBuffer: Appending out of bounds."
        );
        appendUnchecked(buffer, data);
    }
}


// File contracts/utils/StringUtilsLib.sol

pragma solidity ^0.8.0;

/**
 * Strings Library
 * 
 * In summary this is a simple library of string functions which make simple 
 * string operations less tedious in solidity.
 * 
 * Please be aware these functions can be quite gas heavy so use them only when
 * necessary not to clog the blockchain with expensive transactions.
 * 
 * @author James Lockhart <james@n3tw0rk.co.uk>
 */
library StringUtils {

    /**
     * Concat (High gas cost)
     * 
     * Appends two strings together and returns a new value
     * 
     * @param _base When being used for a data type this is the extended object
     *              otherwise this is the string which will be the concatenated
     *              prefix
     * @param _value The value to be the concatenated suffix
     * @return string The resulting string from combinging the base and value
     */
    function concat(string memory _base, string memory _value)
        internal
        pure
        returns (string memory) {
        bytes memory _baseBytes = bytes(_base);
        bytes memory _valueBytes = bytes(_value);

        assert(_valueBytes.length > 0);

        string memory _tmpValue = new string(_baseBytes.length +
            _valueBytes.length);
        bytes memory _newValue = bytes(_tmpValue);

        uint i;
        uint j;

        for (i = 0; i < _baseBytes.length; i++) {
            _newValue[j++] = _baseBytes[i];
        }

        for (i = 0; i < _valueBytes.length; i++) {
            _newValue[j++] = _valueBytes[i];
        }

        return string(_newValue);
    }

    /**
     * Index Of
     *
     * Locates and returns the position of a character within a string
     * 
     * @param _base When being used for a data type this is the extended object
     *              otherwise this is the string acting as the haystack to be
     *              searched
     * @param _value The needle to search for, at present this is currently
     *               limited to one character
     * @return int The position of the needle starting from 0 and returning -1
     *             in the case of no matches found
     */
    function indexOf(string memory _base, string memory _value)
        internal
        pure
        returns (int) {
        return _indexOf(_base, _value, 0);
    }

    /**
     * Index Of
     *
     * Locates and returns the position of a character within a string starting
     * from a defined offset
     * 
     * @param _base When being used for a data type this is the extended object
     *              otherwise this is the string acting as the haystack to be
     *              searched
     * @param _value The needle to search for, at present this is currently
     *               limited to one character
     * @param _offset The starting point to start searching from which can start
     *                from 0, but must not exceed the length of the string
     * @return int The position of the needle starting from 0 and returning -1
     *             in the case of no matches found
     */
    function _indexOf(string memory _base, string memory _value, uint _offset)
        internal
        pure
        returns (int) {
        bytes memory _baseBytes = bytes(_base);
        bytes memory _valueBytes = bytes(_value);

        assert(_valueBytes.length == 1);

        for (uint i = _offset; i < _baseBytes.length; i++) {
            if (_baseBytes[i] == _valueBytes[0]) {
                return int(i);
            }
        }

        return -1;
    }

    /**
     * Length
     * 
     * Returns the length of the specified string
     * 
     * @param _base When being used for a data type this is the extended object
     *              otherwise this is the string to be measured
     * @return uint The length of the passed string
     */
    function length(string memory _base)
        internal
        pure
        returns (uint) {
        bytes memory _baseBytes = bytes(_base);
        return _baseBytes.length;
    }

    /**
     * Sub String
     * 
     * Extracts the beginning part of a string based on the desired length
     * 
     * @param _base When being used for a data type this is the extended object
     *              otherwise this is the string that will be used for 
     *              extracting the sub string from
     * @param _length The length of the sub string to be extracted from the base
     * @return string The extracted sub string
     */
    function substring(string memory _base, int _length)
        internal
        pure
        returns (string memory) {
        return _substring(_base, _length, 0);
    }

    /**
     * Sub String
     * 
     * Extracts the part of a string based on the desired length and offset. The
     * offset and length must not exceed the lenth of the base string.
     * 
     * @param _base When being used for a data type this is the extended object
     *              otherwise this is the string that will be used for 
     *              extracting the sub string from
     * @param _length The length of the sub string to be extracted from the base
     * @param _offset The starting point to extract the sub string from
     * @return string The extracted sub string
     */
    function _substring(string memory _base, int _length, int _offset)
        internal
        pure
        returns (string memory) {
        bytes memory _baseBytes = bytes(_base);

        assert(uint(_offset + _length) <= _baseBytes.length);

        string memory _tmp = new string(uint(_length));
        bytes memory _tmpBytes = bytes(_tmp);

        uint j = 0;
        for (uint i = uint(_offset); i < uint(_offset + _length); i++) {
            _tmpBytes[j++] = _baseBytes[i];
        }

        return string(_tmpBytes);
    }


    function split(string memory _base, string memory _value)
        internal
        pure
        returns (string[] memory splitArr) {
        bytes memory _baseBytes = bytes(_base);

        uint _offset = 0;
        uint _splitsCount = 1;
        while (_offset < _baseBytes.length - 1) {
            int _limit = _indexOf(_base, _value, _offset);
            if (_limit == -1)
                break;
            else {
                _splitsCount++;
                _offset = uint(_limit) + 1;
            }
        }

        splitArr = new string[](_splitsCount);

        _offset = 0;
        _splitsCount = 0;
        while (_offset < _baseBytes.length - 1) {

            int _limit = _indexOf(_base, _value, _offset);
            if (_limit == - 1) {
                _limit = int(_baseBytes.length);
            }

            string memory _tmp = new string(uint(_limit) - _offset);
            bytes memory _tmpBytes = bytes(_tmp);

            uint j = 0;
            for (uint i = _offset; i < uint(_limit); i++) {
                _tmpBytes[j++] = _baseBytes[i];
            }
            _offset = uint(_limit) + 1;
            splitArr[_splitsCount++] = string(_tmpBytes);
        }
        return splitArr;
    }

    /**
     * Compare To
     * 
     * Compares the characters of two strings, to ensure that they have an 
     * identical footprint
     * 
     * @param _base When being used for a data type this is the extended object
     *               otherwise this is the string base to compare against
     * @param _value The string the base is being compared to
     * @return bool Simply notates if the two string have an equivalent
     */
    function compareTo(string memory _base, string memory _value)
        internal
        pure
        returns (bool) {
        bytes memory _baseBytes = bytes(_base);
        bytes memory _valueBytes = bytes(_value);

        if (_baseBytes.length != _valueBytes.length) {
            return false;
        }

        for (uint i = 0; i < _baseBytes.length; i++) {
            if (_baseBytes[i] != _valueBytes[i]) {
                return false;
            }
        }

        return true;
    }

    /**
     * Compare To Ignore Case (High gas cost)
     * 
     * Compares the characters of two strings, converting them to the same case
     * where applicable to alphabetic characters to distinguish if the values
     * match.
     * 
     * @param _base When being used for a data type this is the extended object
     *               otherwise this is the string base to compare against
     * @param _value The string the base is being compared to
     * @return bool Simply notates if the two string have an equivalent value
     *              discarding case
     */
    function compareToIgnoreCase(string memory _base, string memory _value)
        internal
        pure
        returns (bool) {
        bytes memory _baseBytes = bytes(_base);
        bytes memory _valueBytes = bytes(_value);

        if (_baseBytes.length != _valueBytes.length) {
            return false;
        }

        for (uint i = 0; i < _baseBytes.length; i++) {
            if (_baseBytes[i] != _valueBytes[i] &&
            _upper(_baseBytes[i]) != _upper(_valueBytes[i])) {
                return false;
            }
        }

        return true;
    }

    /**
     * Upper
     * 
     * Converts all the values of a string to their corresponding upper case
     * value.
     * 
     * @param _base When being used for a data type this is the extended object
     *              otherwise this is the string base to convert to upper case
     * @return string 
     */
    function upper(string memory _base)
        internal
        pure
        returns (string memory) {
        bytes memory _baseBytes = bytes(_base);
        for (uint i = 0; i < _baseBytes.length; i++) {
            _baseBytes[i] = _upper(_baseBytes[i]);
        }
        return string(_baseBytes);
    }

    /**
     * Lower
     * 
     * Converts all the values of a string to their corresponding lower case
     * value.
     * 
     * @param _base When being used for a data type this is the extended object
     *              otherwise this is the string base to convert to lower case
     * @return string 
     */
    function lower(string memory _base)
        internal
        pure
        returns (string memory) {
        bytes memory _baseBytes = bytes(_base);
        for (uint i = 0; i < _baseBytes.length; i++) {
            _baseBytes[i] = _lower(_baseBytes[i]);
        }
        return string(_baseBytes);
    }

    /**
     * Upper
     * 
     * Convert an alphabetic character to upper case and return the original
     * value when not alphabetic
     * 
     * @param _b1 The byte to be converted to upper case
     * @return bytes1 The converted value if the passed value was alphabetic
     *                and in a lower case otherwise returns the original value
     */
    function _upper(bytes1 _b1)
        private
        pure
        returns (bytes1) {

        if (_b1 >= 0x61 && _b1 <= 0x7A) {
            return bytes1(uint8(_b1) - 32);
        }

        return _b1;
    }

    /**
     * Lower
     * 
     * Convert an alphabetic character to lower case and return the original
     * value when not alphabetic
     * 
     * @param _b1 The byte to be converted to lower case
     * @return bytes1 The converted value if the passed value was alphabetic
     *                and in a upper case otherwise returns the original value
     */
    function _lower(bytes1 _b1)
        private
        pure
        returns (bytes1) {

        if (_b1 >= 0x41 && _b1 <= 0x5A) {
            return bytes1(uint8(_b1) + 32);
        }

        return _b1;
    }
}


// File contracts/Noggleversary.sol


pragma solidity ^0.8.15;

library NoggleLibrary {
    /**
     * @dev Inspired by OraclizeAPI's implementation - MIT license
     * @dev https://github.com/oraclize/ethereum-api/blob/b42146b063c7d6ee1358846c198246239e9360e8/oraclizeAPI_0.4.25.sol
     */
    function toString(uint256 value) internal pure returns (string memory) {
        if (value == 0) {
            return '0';
        }
        uint256 temp = value;
        uint256 digits;
        while (temp != 0) {
            digits++;
            temp /= 10;
        }
        bytes memory buffer = new bytes(digits);
        while (value != 0) {
            digits -= 1;
            buffer[digits] = bytes1(uint8(48 + uint256(value % 10)));
            value /= 10;
        }
        return string(buffer);
    }
}

/// @title Base64
/// @notice Provides a function for encoding some bytes in base64
/// @author Brecht Devos <brecht@loopring.org>

pragma solidity ^0.8.15;

library Base64 {
    bytes internal constant TABLE = 'ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz0123456789+/';

    /// @notice Encodes some bytes to the base64 representation
    function encode(bytes memory data) internal pure returns (string memory) {
        uint256 len = data.length;
        if (len == 0) return '';

        // multiply by 4/3 rounded up
        uint256 encodedLen = 4 * ((len + 2) / 3);

        // Add some extra buffer at the end
        bytes memory result = new bytes(encodedLen + 32);

        bytes memory table = TABLE;

        assembly {
            let tablePtr := add(table, 1)
            let resultPtr := add(result, 32)

            for {
                let i := 0
            } lt(i, len) {

            } {
                i := add(i, 3)
                let input := and(mload(add(data, i)), 0xffffff)

                let out := mload(add(tablePtr, and(shr(18, input), 0x3F)))
                out := shl(8, out)
                out := add(out, and(mload(add(tablePtr, and(shr(12, input), 0x3F))), 0xFF))
                out := shl(8, out)
                out := add(out, and(mload(add(tablePtr, and(shr(6, input), 0x3F))), 0xFF))
                out := shl(8, out)
                out := add(out, and(mload(add(tablePtr, and(input, 0x3F))), 0xFF))
                out := shl(224, out)

                mstore(resultPtr, out)

                resultPtr := add(resultPtr, 4)
            }

            switch mod(len, 3)
            case 1 {
                mstore(sub(resultPtr, 2), shl(240, 0x3d3d))
            }
            case 2 {
                mstore(sub(resultPtr, 1), shl(248, 0x3d))
            }

            mstore(result, encodedLen)
        }

        return string(result);
    }
}

contract OwnableDelegateProxy {}

contract ProxyRegistry {
    mapping(address => OwnableDelegateProxy) public proxies;
}








contract Noggleversary is ERC721A, Ownable {
    using DynamicBuffer for bytes;
    using Strings for uint256;
    using Strings for uint160;
    using StringUtils for string;

    uint256 public maxPerTx = 1;
    uint256 public maxPerAddress = 4;
    uint256 public maxToken = 2222;
    uint256 public price = 0.0069 ether;

    string public description = "A limited-release to celebrate one year of Nouns. Featuring noggles from Noun #0 personalized for each minter.";
    string public metadataName = "Nouniversary Noggle #";

    mapping(uint256 => bytes32) public seeds;
    mapping (address => bool) public freeMinted;

    string basePath = '<path class="a" d="M10 50v10h5V50h-5Zm15-5H10v5h15v-5Zm35 0h-5v5h5v-5ZM25 35v30h30V35H25Zm35 0v30h30V35H60Z"/>';
    string eyesPath = '<path fill="#fff" d="M30 40v20h10V40H30Z"/><path fill="#000" d="M40 40v20h10V40H40Z"/><path fill="#fff" d="M65 40v20h10V40H65Z"/><path fill="#000" d="M75 40v20h10V40H75Z"/>';

    constructor() ERC721A('Nouniversary Noggles', 'NOGSB1') {}

    modifier callerIsUser() {
        require(tx.origin == msg.sender, "The caller is another contract");
        _;
    }

    function numberMinted(address owner) public view returns (uint256) {
        return _numberMinted(owner);
    }

    using Counters for Counters.Counter;
    using SafeMath for uint256;
    bool public mintActive = true;    

    function bytes32ToString(bytes32 _bytes32) public pure returns (string memory) {
        uint8 i = 0;
        bytes memory bytesArray = new bytes(64);
        for (i = 0; i < bytesArray.length; i++) {

            uint8 _f = uint8(_bytes32[i/2] & 0x0f);
            uint8 _l = uint8(_bytes32[i/2] >> 4);

            bytesArray[i] = toByte(_f);
            i = i + 1;
            bytesArray[i] = toByte(_l);
        }
        return string(bytesArray);
    }

    function toByte(uint8 _uint8) public pure returns (bytes1) {
        if(_uint8 < 10) {
            return bytes1(_uint8 + 48);
        } else {
            return bytes1(_uint8 + 87);
        }
    }

    function getColors(bytes32 seed) private view returns (string[] memory) {
        string memory addr = bytes32ToString(seed);
        string memory cur;
        string[] memory ret = new string[](7);
        
        for (uint i; i < 7; ++i) {
            if (i == 0) {
                cur = addr._substring(6, 2);
            } else {
                cur = addr._substring(6, int(i) * 6);
            }
            
            ret[i] = cur;
            console.log(ret[i], addr);
        }    
        return ret;
    }


    function getTokenIdSvg(string[] memory colors) internal pure returns (string memory svg) {
        return
            string(
                abi.encodePacked(
                    '<svg id="n" viewBox="0 0 100 100" width="1600" height="1600" xmlns="http://www.w3.org/2000/svg" >',
                        '<defs><style>#n{shape-rendering:crispedges;}</style> <linearGradient id="a" x1="7" x2="102.812" y1="8" y2="102.938" gradientUnits="userSpaceOnUse"><stop stop-color="#fff" stop-opacity=".67"/><stop offset="1" stop-color="#fff" stop-opacity=".21"/></linearGradient><linearGradient id="b" x1="7" x2="102.812" y1="8" y2="102.938" gradientUnits="userSpaceOnUse"><stop stop-color="#fff" stop-opacity=".67"/><stop offset="1" stop-color="#fff" stop-opacity=".21"/></linearGradient><clipPath id="d"><path fill="#fff" d="M0 0h100v100H0z"/></clipPath><filter id="c" width="67.5" height="30" x="21.5" y="71.25" color-interpolation-filters="sRGB" filterUnits="userSpaceOnUse"><feFlood flood-opacity="0" result="BackgroundImageFix"/><feBlend in="SourceGraphic" in2="BackgroundImageFix" result="shape"/><feGaussianBlur result="effect1_foregroundBlur_310_449" stdDeviation="4"/></filter></defs>',
                        '<path class="bg" d="M0 0h100v100H0z" fill="#',
                        colors[0],
                        '"/>',
                        '<path fill="url(#b)" d="M0 0h100v100H0z"/>',
                        '<g filter="url(#c)" opacity=".33"><path fill="#000" d="M81 84.875C81 85.9105 69.4713 86.75 55.25 86.75C41.0287 86.75 29.5 85.9105 29.5 84.875C29.5 83.8395 41.0287 83 55.25 83C69.4713 83 81 83.8395 81 84.875Z"/></g>',
                        '<path fill="#EC5B43" class="a" d="M10 50v10h5V50h-5Zm15-5H10v5h15v-5Zm35 0h-5v5h5v-5ZM25 35v30h30V35H25Zm35 0v30h30V35H60Z"/>',
                        '<path fill="#fff" d="M30 40v20h10V40H30Z"/><path fill="#000" d="M40 40v20h10V40H40Z"/><path fill="#fff" d="M65 40v20h10V40H65Z"/><path fill="#000" d="M75 40v20h10V40H75Z"/>',                       
                    '</svg>'
                )
            );
    }

    function tokenURI(uint tokenId) public view override returns (string memory) {
        require(_exists(tokenId));
        bytes32 seed = seeds[tokenId];
        string[] memory colors;
        colors = getColors(seed);
        return
            string(
                abi.encodePacked(
                    'data:application/json;base64,',
                    Base64.encode(
                        bytes(
                            string(
                                abi.encodePacked(
                                    '{"name": "', 
                                    metadataName, 
                                    NoggleLibrary.toString(tokenId),
                                    '", "description": "', 
                                    description, 
                                    '", "image": "data:image/svg+xml;base64,',
                                    Base64.encode(bytes(getTokenIdSvg(colors))),
                                    '","attributes": [',
                                    // getTokenIdMetadata(tokenId, colors),
                                    '{"trait_type":"Background color", "value":"#',
                                        colors[0],
                                    '"}',
                                    ']}'
                                )
                            )
                        )
                    )
                )
            );
    }

    function internalMint(uint256 tokenId) private {
        seeds[tokenId] = _seed(tokenId);
        _safeMint(msg.sender, 1);
    }

    function mint() external payable {
        require(mintActive, 'Mint not active.');
        require(numberMinted(msg.sender) + 1 <= maxPerAddress, "You have plenty of noggles already. Try again next year!");
        require(totalSupply() + 1 < maxToken, ":sad trombone: All of this year's Nouniversary noggles have been minted.");
        uint256 supply = totalSupply();
        uint256 tokenId = supply + 1;

        if(freeMinted[msg.sender]){
            require(msg.value >= price, "Free noggle already claimed. Need more eth to mint additional noggles");
        }else{
            freeMinted[msg.sender] = true;
        }

        if (!_exists(tokenId)) {
            internalMint(tokenId);
        }
    }

    function _seed(uint256 tokenId) internal view returns (bytes32) {
        return keccak256(abi.encodePacked(msg.sender, blockhash(block.number - 1), tokenId));
    }

    function toggleMint() external onlyOwner {
        mintActive = !mintActive;
    }

    function getBalance() public view returns (uint256) {
        return address(this).balance;
    }

    function withdraw() external onlyOwner {
        payable(owner()).transfer(address(this).balance);
    }

    function setDescription(string memory _greeting) external onlyOwner {
        description = _greeting;
    }

    function setName(string memory _name) external onlyOwner {
        metadataName = _name;
    }
}


// File contracts/utils/ColorLib.sol

pragma solidity ^0.8.0;

/**
@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@BBB#RROOOOOOOOOOOOOOORR#BBB@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@
@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@BBROOOOOOOOZZZZZZZZZZZZZZZZZZZZZZZOORBB@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@
@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@BB#ROOOOOOOOOOOZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZORB@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@
@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@B#ROOOOOOOOOOOOOZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZORB@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@
@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@BRROOOOOOOOOOOOOOOZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZOB@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@
@@@@@@@@@@@@@@@@@@@@@@@@@@BBRRROOOOOOOOOOOOOOOOZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZO#@@@@@@@@@@@@@@@@@@@@@@@@@@@@@
@@@@@@@@@@@@@@@@@@@@@@@@B#RRRRROOOOOOOOOOOOOOOZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZRB@@@@@@@@@@@@@@@@@@@@@@@@@@
@@@@@@@@@@@@@@@@@@@@@@B#RRRRRROOOOOOOOOOOOOOOZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZOB@@@@@@@@@@@@@@@@@@@@@@@@
@@@@@@@@@@@@@@@@@@@@B#RRRRRRRROOOOOOOOOOOOOOOZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZOB@@@@@@@@@@@@@@@@@@@@@@
@@@@@@@@@@@@@@@@@@@B#RRRRRRRROOOOOOOOOOOOOOOZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZRB@@@@@@@@@@@@@@@@@@@@
@@@@@@@@@@@@@@@@@B###RRRRRRRROOOOOOOOOOOOOOOZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZ#@@@@@@@@@@@@@@@@@@@
@@@@@@@@@@@@@@@BB####RRRRRRRROOOOOOOOOOOOOOZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZO@@@@@@@@@@@@@@@@@@
@@@@@@@@@@@@@@BB#####RRRRRRRROOOOOOOOOOOOOOZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZOB@@@@@@@@@@@@@@@@
@@@@@@@@@@@@@BB######RRRRRRRROOOOOOOOOOOOOOZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZO#@@@@@@@@@@@@@@@
@@@@@@@@@@@@BBB######RRRRRRRROOOOOOOOOOOOOOZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZO#@@@@@@@@@@@@@@
@@@@@@@@@@@BBBBB#####RRRRRRRROOOOOOOOOOOOOOOZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZR@@@@@@@@@@@@@
@@@@@@@@@@BBBBBB#####RRRRRRRROOOOOOOOOOOOOOOZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZO#@@@@@@@@@@@@
@@@@@@@@@BBBBBBB#####RRRRRRRRROOOOOOOOOOOOOOZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZOB@@@@@@@@@@@
@@@@@@@@BBBBBBBB######RRRRRRRROOOOOOOOOOOOOOOZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZOOB@@@@@@@@@@
@@@@@@@@BBBBBBBBB#####RRRRRRRRROOOOOOOOOOOOOOOZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZOR@@@@@@@@@@
@@@@@@@BBBBBBBBBB######RRRRRRRROOOOOOOOOOOOOOOOZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZOOOB@@@@@@@@@
@@@@@@@BBBBBBBBBBB#####RRRRRRRRROOOOOOOOOOOOOOOOZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZOOOOOR@@@@@@@@@
@@@@@@@BBBBBBBBBBB######RRRRRRRRROOOOOOOOOOOOOOOOZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZOOOOOOOB@@@@@@@@
@@@@@@BBBBBBBBBBBBB######RRRRRRRRROOOOOOOOOOOOOOOOZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZOOOOOOOOB@@@@@@@@
@@@@@@BBBBBBBBBBBBBB######RRRRRRRRROOOOOOOOOOOOOOOOOZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZOOOOOOOOOO#@@@@@@@@
@@@@@@BBBBBBBBBBBBBBB######RRRRRRRRROOOOOOOOOOOOOOOOOOZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZOOOOOOOOOOOO#@@@@@@@@
@@@@@@BBBBBBBBBBBBBBB######RRRRRRRRRROOOOOOOOOOOOOOOOOOOOZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZOOOOOOOOOOOOOOR@@@@@@@@
@@@@@@BBBBBBBBBBBBBBBB#######RRRRRRRRRROOOOOOOOOOOOOOOOOOOOZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZOOOOOOOOOOOOOOOOO#@@@@@@@@
@@@@@@BBBBBBBBBBBBBBBBB#######RRRRRRRRRROOOOOOOOOOOOOOOOOOOOOOOZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZOOOOOOOOOOOOOOOOOOOO#@@@@@@@@
@@@@@@BBBBBBBBBBBBBBBBBBB######RRRRRRRRRRROOOOOOOOOOOOOOOOOOOOOOOOOOZZZZZZZZZZZZZZZZZZZZOOOOOOOOOOOOOOOOOOOOOOOOORB@@@@@@@@
@@@@@@BBBBBBBBBBBBBBBBBBBB#######RRRRRRRRRRROOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOORB@@@@@@@@
@@@@@@@BBBBBBBBBBBBBBBBBBBBB#######RRRRRRRRRRROOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOORRRR@@@@@@@@@
@@@@@@@BBBBBBBBBBBBBBBBBBBBBB########RRRRRRRRRRRROOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOORRRRRB@@@@@@@@@
@@@@@@@@BBBBBBBBBBBBBBBBBBBBBBB########RRRRRRRRRRRRROOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOORRRRRRR#@@@@@@@@@@
@@@@@@@@BBBBBBBBBBBBBBBBBBBBBBBBB########RRRRRRRRRRRRRROOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOORRRRRRRRRRB@@@@@@@@@@
@@@@@@@@@BBBBBBBBBBBBBBBBBBBBBBBBBB########RRRRRRRRRRRRRRRRROOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOORRRRRRRRRRRRRRB@@@@@@@@@@@
@@@@@@@@@@BBBBBBBBBBBBBBBBBBBBBBBBBBB#########RRRRRRRRRRRRRRRRRRROOOOOOOOOOOOOOOOOOOOOOOOOORRRRRRRRRRRRRRRRRR##@@@@@@@@@@@@
@@@@@@@@@@@BBBBBBBBBBBBBBBBBBBBBBBBBBBBB#########RRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRR###B@@@@@@@@@@@@
@@@@@@@@@@@BBBBBBBBBBBBBBBBBBBBBBBBBBBBBBB###########RRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRR######B@@@@@@@@@@@@@
@@@@@@@@@@@@BBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBB#############RRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRR########BB@@@@@@@@@@@@@@
@@@@@@@@@@@@@@BBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBB###############RRRRRRRRRRRRRRRRRRRRRRRRRRR#############BB@@@@@@@@@@@@@@@@
@@@@@@@@@@@@@@@BBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBB#################################################BBB@@@@@@@@@@@@@@@@@
@@@@@@@@@@@@@@@@BBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBB#######################################BBBBBBB@@@@@@@@@@@@@@@@@@
@@@@@@@@@@@@@@@@@@BBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBB########################BBBBBBBBBBBBB@@@@@@@@@@@@@@@@@@@@
@@@@@@@@@@@@@@@@@@@@BBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBB@@@@@@@@@@@@@@@@@@@@@
@@@@@@@@@@@@@@@@@@@@@@BBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBB@@@@@@@@@@@@@@@@@@@@@@@@
@@@@@@@@@@@@@@@@@@@@@@@@BBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBB@@@@@@@@@@@@@@@@@@@@@@@@@@
@@@@@@@@@@@@@@@@@@@@@@@@@@BBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBB@@@@@@@@@@@@@@@@@@@@@@@@@@@@
@@@@@@@@@@@@@@@@@@@@@@@@@@@@@BBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBB@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@
@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@BBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBB@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@
@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@BBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBB@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@
@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@BBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBB@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@
@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@BBBBBBBBBBBBBBBBBBBBBBBBBBBB@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@
@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@
@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@
*/

/// Color lib is a custom library for handling the math functions required to generate the gradient step colors
/// Originally written in javascript, this is a solidity port.
library ColorLib {
    struct HSL {
        uint256 h;
        uint256 s;
        uint256 l;
    }

    /// Lookup table for cubicinout range 0-99
    function cubicInOut(uint16 p) internal pure returns (int256) {
        if (p < 13) {
            return 0;
        }
        if (p < 17) {
            return 1;
        }
        if (p < 19) {
            return 2;
        }
        if (p < 21) {
            return 3;
        }
        if (p < 23) {
            return 4;
        }
        if (p < 24) {
            return 5;
        }
        if (p < 25) {
            return 6;
        }
        if (p < 27) {
            return 7;
        }
        if (p < 28) {
            return 8;
        }
        if (p < 29) {
            return 9;
        }
        if (p < 30) {
            return 10;
        }
        if (p < 31) {
            return 11;
        }
        if (p < 32) {
            return 13;
        }
        if (p < 33) {
            return 14;
        }
        if (p < 34) {
            return 15;
        }
        if (p < 35) {
            return 17;
        }
        if (p < 36) {
            return 18;
        }
        if (p < 37) {
            return 20;
        }
        if (p < 38) {
            return 21;
        }
        if (p < 39) {
            return 23;
        }
        if (p < 40) {
            return 25;
        }
        if (p < 41) {
            return 27;
        }
        if (p < 42) {
            return 29;
        }
        if (p < 43) {
            return 31;
        }
        if (p < 44) {
            return 34;
        }
        if (p < 45) {
            return 36;
        }
        if (p < 46) {
            return 38;
        }
        if (p < 47) {
            return 41;
        }
        if (p < 48) {
            return 44;
        }
        if (p < 49) {
            return 47;
        }
        if (p < 50) {
            return 50;
        }
        if (p < 51) {
            return 52;
        }
        if (p < 52) {
            return 55;
        }
        if (p < 53) {
            return 58;
        }
        if (p < 54) {
            return 61;
        }
        if (p < 55) {
            return 63;
        }
        if (p < 56) {
            return 65;
        }
        if (p < 57) {
            return 68;
        }
        if (p < 58) {
            return 70;
        }
        if (p < 59) {
            return 72;
        }
        if (p < 60) {
            return 74;
        }
        if (p < 61) {
            return 76;
        }
        if (p < 62) {
            return 78;
        }
        if (p < 63) {
            return 79;
        }
        if (p < 64) {
            return 81;
        }
        if (p < 65) {
            return 82;
        }
        if (p < 66) {
            return 84;
        }
        if (p < 67) {
            return 85;
        }
        if (p < 68) {
            return 86;
        }
        if (p < 69) {
            return 88;
        }
        if (p < 70) {
            return 89;
        }
        if (p < 71) {
            return 90;
        }
        if (p < 72) {
            return 91;
        }
        if (p < 74) {
            return 92;
        }
        if (p < 75) {
            return 93;
        }
        if (p < 76) {
            return 94;
        }
        if (p < 78) {
            return 95;
        }
        if (p < 80) {
            return 96;
        }
        if (p < 82) {
            return 97;
        }
        if (p < 86) {
            return 98;
        }
        return 99;
    }

    /// Lookup table for cubicid range 0-99
    function cubicIn(uint256 p) internal pure returns (uint8) {
        if (p < 22) {
            return 0;
        }
        if (p < 28) {
            return 1;
        }
        if (p < 32) {
            return 2;
        }
        if (p < 32) {
            return 3;
        }
        if (p < 34) {
            return 3;
        }
        if (p < 36) {
            return 4;
        }
        if (p < 39) {
            return 5;
        }
        if (p < 41) {
            return 6;
        }
        if (p < 43) {
            return 7;
        }
        if (p < 46) {
            return 9;
        }
        if (p < 47) {
            return 10;
        }
        if (p < 49) {
            return 11;
        }
        if (p < 50) {
            return 12;
        }
        if (p < 51) {
            return 13;
        }
        if (p < 53) {
            return 14;
        }
        if (p < 54) {
            return 15;
        }
        if (p < 55) {
            return 16;
        }
        if (p < 56) {
            return 17;
        }
        if (p < 57) {
            return 18;
        }
        if (p < 58) {
            return 19;
        }
        if (p < 59) {
            return 20;
        }
        if (p < 60) {
            return 21;
        }
        if (p < 61) {
            return 22;
        }
        if (p < 62) {
            return 23;
        }
        if (p < 63) {
            return 25;
        }
        if (p < 64) {
            return 26;
        }
        if (p < 65) {
            return 27;
        }
        if (p < 66) {
            return 28;
        }
        if (p < 67) {
            return 30;
        }
        if (p < 68) {
            return 31;
        }
        if (p < 69) {
            return 32;
        }
        if (p < 70) {
            return 34;
        }
        if (p < 71) {
            return 35;
        }
        if (p < 72) {
            return 37;
        }
        if (p < 73) {
            return 38;
        }
        if (p < 74) {
            return 40;
        }
        if (p < 75) {
            return 42;
        }
        if (p < 76) {
            return 43;
        }
        if (p < 77) {
            return 45;
        }
        if (p < 78) {
            return 47;
        }
        if (p < 79) {
            return 49;
        }
        if (p < 80) {
            return 51;
        }
        if (p < 81) {
            return 53;
        }
        if (p < 82) {
            return 55;
        }
        if (p < 83) {
            return 57;
        }
        if (p < 84) {
            return 59;
        }
        if (p < 85) {
            return 61;
        }
        if (p < 86) {
            return 63;
        }
        if (p < 87) {
            return 65;
        }
        if (p < 88) {
            return 68;
        }
        if (p < 89) {
            return 70;
        }
        if (p < 90) {
            return 72;
        }
        if (p < 91) {
            return 75;
        }
        if (p < 92) {
            return 77;
        }
        if (p < 93) {
            return 80;
        }
        if (p < 94) {
            return 83;
        }
        if (p < 95) {
            return 85;
        }
        if (p < 96) {
            return 88;
        }
        if (p < 97) {
            return 91;
        }
        if (p < 98) {
            return 94;
        }
        return 97;
    }

    /// Lookup table for quintin range 0-99
    function quintIn(uint256 p) internal pure returns (uint8) {
        if (p < 39) {
            return 0;
        }
        if (p < 45) {
            return 1;
        }
        if (p < 49) {
            return 2;
        }
        if (p < 52) {
            return 3;
        }
        if (p < 53) {
            return 4;
        }
        if (p < 54) {
            return 4;
        }
        if (p < 55) {
            return 5;
        }
        if (p < 56) {
            return 5;
        }
        if (p < 57) {
            return 6;
        }
        if (p < 58) {
            return 6;
        }
        if (p < 59) {
            return 7;
        }
        if (p < 60) {
            return 7;
        }
        if (p < 61) {
            return 8;
        }
        if (p < 62) {
            return 9;
        }
        if (p < 63) {
            return 9;
        }
        if (p < 64) {
            return 10;
        }
        if (p < 65) {
            return 11;
        }
        if (p < 66) {
            return 12;
        }
        if (p < 67) {
            return 13;
        }
        if (p < 68) {
            return 14;
        }
        if (p < 69) {
            return 15;
        }
        if (p < 70) {
            return 16;
        }
        if (p < 71) {
            return 18;
        }
        if (p < 72) {
            return 19;
        }
        if (p < 73) {
            return 20;
        }
        if (p < 74) {
            return 22;
        }
        if (p < 75) {
            return 23;
        }
        if (p < 76) {
            return 25;
        }
        if (p < 77) {
            return 27;
        }
        if (p < 78) {
            return 28;
        }
        if (p < 79) {
            return 30;
        }
        if (p < 80) {
            return 32;
        }
        if (p < 81) {
            return 34;
        }
        if (p < 82) {
            return 37;
        }
        if (p < 83) {
            return 39;
        }
        if (p < 84) {
            return 41;
        }
        if (p < 85) {
            return 44;
        }
        if (p < 86) {
            return 47;
        }
        if (p < 87) {
            return 49;
        }
        if (p < 88) {
            return 52;
        }
        if (p < 89) {
            return 55;
        }
        if (p < 90) {
            return 59;
        }
        if (p < 91) {
            return 62;
        }
        if (p < 92) {
            return 65;
        }
        if (p < 93) {
            return 69;
        }
        if (p < 94) {
            return 73;
        }
        if (p < 95) {
            return 77;
        }
        if (p < 96) {
            return 81;
        }
        if (p < 97) {
            return 85;
        }
        if (p < 98) {
            return 90;
        }
        return 95;
    }

    // Util for keeping hue range in 0-360 positive
    function clampHue(int256 h) internal pure returns (uint256) {
        unchecked {
            h /= 100;
            if (h >= 0) {
                return uint256(h) % 360;
            } else {
                return (uint256(-1 * h) % 360);
            }
        }
    }

    /// find hue within range
    function lerpHue(
        uint8 optionNum,
        uint256 direction,
        uint256 uhue,
        uint8 pct
    ) internal pure returns (uint256) {
        // unchecked {
        uint256 option = optionNum % 4;
        int256 hue = int256(uhue);

        if (option == 0) {
            return
                clampHue(
                    (((100 - int256(uint256(pct))) * hue) +
                        (int256(uint256(pct)) *
                            (direction == 0 ? hue - 10 : hue + 10)))
                );
        }
        if (option == 1) {
            return
                clampHue(
                    (((100 - int256(uint256(pct))) * hue) +
                        (int256(uint256(pct)) *
                            (direction == 0 ? hue - 30 : hue + 30)))
                );
        }
        if (option == 2) {
            return
                clampHue(
                    (
                        (((100 - cubicInOut(pct)) * hue) +
                            (cubicInOut(pct) *
                                (direction == 0 ? hue - 50 : hue + 50)))
                    )
                );
        }

        return
            clampHue(
                ((100 - cubicInOut(pct)) * hue) +
                    (cubicInOut(pct) *
                        int256(
                            hue +
                                ((direction == 0 ? int256(-60) : int256(60)) *
                                    int256(uint256(optionNum > 128 ? 1 : 0))) +
                                30
                        ))
            );
        // }
    }

    /// find lightness within range
    function lerpLightness(
        uint8 optionNum,
        uint256 start,
        uint256 end,
        uint256 pct
    ) internal pure returns (uint256) {
        uint256 lerpPercent;
        if (optionNum == 0) {
            lerpPercent = quintIn(pct);
        } else {
            lerpPercent = cubicIn(pct);
        }
        return
            1 + (((100.0 - lerpPercent) * start + (lerpPercent * end)) / 100);
    }

    /// find saturation within range
    function lerpSaturation(
        uint8 optionNum,
        uint256 start,
        uint256 end,
        uint256 pct
    ) internal pure returns (uint256) {
        unchecked {
            uint256 lerpPercent;
            if (optionNum == 0) {
                lerpPercent = quintIn(pct);
                return
                    1 +
                    (((100.0 - lerpPercent) * start + lerpPercent * end) / 100);
            }
            lerpPercent = pct;
            return ((100.0 - lerpPercent) * start + lerpPercent * end) / 100;
        }
    }

    /// encode a color string
    function encodeStr(
        uint256 h,
        uint256 s,
        uint256 l
    ) internal pure returns (bytes memory) {
        return
            abi.encodePacked(
                "hsl(",
                Strings.toString(h),
                ", ",
                Strings.toString(s),
                "%, ",
                Strings.toString(l),
                "%)"
            );
    }

    /// get gradient color strings for the given addresss
    // function gradientForAddress(address addr)
    function gradientForAddress(address addr)
        internal
        pure
        returns (bytes[5] memory)
    {
        unchecked {
            bytes32 addrBytes = bytes32(uint256(uint160(addr)));
            uint256 startHue = (uint256(uint8(addrBytes[31 - 12])) * 24) / 17; // 255 - 360
            uint256 startLightness = (uint256(uint8(addrBytes[31 - 2])) * 5) /
                34 +
                32; // 255 => 37.5 + 32 (32, 69.5)
            uint256 endLightness = 97;
            endLightness += (((uint256(uint8(addrBytes[31 - 8])) * 5) / 51) +
                72); // 72-97
            endLightness /= 2;

            uint256 startSaturation = uint256(uint8(addrBytes[31 - 7])) /
                16 +
                81; // 0-16 + 72

            uint256 endSaturation = uint256(uint8(addrBytes[31 - 10]) * 11) / 128 + 70; // 0-22 + 70
            if (endSaturation > startSaturation - 10) {
                endSaturation = startSaturation - 10;
            }

            return [
                // 0
                encodeStr(
                    lerpHue(
                        uint8(addrBytes[31 - 3]),
                        uint8(addrBytes[31 - 6]) % 2,
                        startHue,
                        0
                    ),
                    lerpSaturation(
                        uint8(addrBytes[31 - 3]) % 2,
                        startSaturation,
                        endSaturation,
                        100
                    ),
                    lerpLightness(
                        uint8(addrBytes[31 - 5]) % 2,
                        startLightness,
                        endLightness,
                        100
                    )
                ),
                // 1
                encodeStr(
                    lerpHue(
                        uint8(addrBytes[31 - 3]),
                        uint8(addrBytes[31 - 6]) % 2,
                        startHue,
                        10
                    ),
                    lerpSaturation(
                        uint8(addrBytes[31 - 3]) % 2,
                        startSaturation,
                        endSaturation,
                        90
                    ),
                    lerpLightness(
                        uint8(addrBytes[31 - 5]) % 2,
                        startLightness,
                        endLightness,
                        90
                    )
                ),
                // 2
                encodeStr(
                    lerpHue(
                        uint8(addrBytes[31 - 3]),
                        uint8(addrBytes[31 - 6]) % 2,
                        startHue,
                        70
                    ),
                    lerpSaturation(
                        uint8(addrBytes[31 - 3]) % 2,
                        startSaturation,
                        endSaturation,
                        70
                    ),
                    lerpLightness(
                        uint8(addrBytes[31 - 5]) % 2,
                        startLightness,
                        endLightness,
                        70
                    )
                ),
                // 3
                encodeStr(
                    lerpHue(
                        uint8(addrBytes[31 - 3]),
                        uint8(addrBytes[31 - 6]) % 2,
                        startHue,
                        90
                    ),
                    lerpSaturation(
                        uint8(addrBytes[31 - 3]) % 2,
                        startSaturation,
                        endSaturation,
                        20
                    ),
                    lerpLightness(
                        uint8(addrBytes[31 - 5]) % 2,
                        startLightness,
                        endLightness,
                        20
                    )
                ),
                // 4
                encodeStr(
                    lerpHue(
                        uint8(addrBytes[31 - 3]),
                        uint8(addrBytes[31 - 6]) % 2,
                        startHue,
                        100
                    ),
                    lerpSaturation(
                        uint8(addrBytes[31 - 3]) % 2,
                        startSaturation,
                        endSaturation,
                        0
                    ),
                    startLightness
                )
            ];
        }
    }
}