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// SPDX-License-Identifier: MIT
pragma solidity 0.8.20;

import {ERC20} from "solmate/tokens/ERC20.sol";
import {SafeTransferLib} from "solmate/utils/SafeTransferLib.sol";
import {Owned} from "solmate/auth/Owned.sol";
import {ERC721} from "solmate/tokens/ERC721.sol";

import {ERC2981} from "openzeppelin-contracts/contracts/token/common/ERC2981.sol";
import {IERC2981} from "openzeppelin-contracts/contracts/interfaces/IERC2981.sol";
import {Strings} from "openzeppelin-contracts/contracts/utils/Strings.sol";

import {IERC721} from "openzeppelin-contracts/contracts/token/ERC721/IERC721.sol";
import {ICurve} from "lssvm2/bonding-curves/ICurve.sol";
import {LSSVMPair} from "lssvm2/LSSVMPair.sol";
import {ERC20} from "solmate/tokens/ERC20.sol";

import {PairFactoryLike} from "./PairFactoryLike.sol";
import {RoyaltyHandler} from "./RoyaltyHandler.sol";
import {ERC721Minimal} from "./ERC721Minimal.sol";

import {StringLib} from "./libs/StringLib.sol";
import {Base64} from "./libs/Base64.sol";

interface IMarkov {
    function speak(uint256 magic, uint256 duration) external view returns (string memory s);
}

contract Akolytes is ERC721Minimal, ERC2981, Owned {
    /*//////////////////////////////////////////////////////////////
                  Struct
    //////////////////////////////////////////////////////////////*/

    struct OwnerOfWithData {
        address owner;
        uint96 lastTransferTimestamp;
    }

    /*//////////////////////////////////////////////////////////////
                      Libraries
    //////////////////////////////////////////////////////////////*/

    using SafeTransferLib for address payable;
    using SafeTransferLib for ERC20;
    using StringLib for string;
    using StringLib for StringLib.slice;

    /*//////////////////////////////////////////////////////////////
                       Error
    //////////////////////////////////////////////////////////////*/

    error Cooldown();
    error Monless();
    error Akoless();
    error Scarce();
    error TooHigh();
    error NoYeet();
    error NoZero();
    error WrongFrom();
    error Unauth();

    /*//////////////////////////////////////////////////////////////
                       Events
    //////////////////////////////////////////////////////////////*/

    event NewRoyalty(uint256 newRoyalty);
    event RoyaltiesClaimed(address token, uint256 amount);

    /*//////////////////////////////////////////////////////////////
                         Constants
    //////////////////////////////////////////////////////////////*/

    uint256 constant TOTAL_AKOLS = 512;
    string private constant ARWEAVE_HASH = "XxDgZs6LRWDmzQIfR0Lssic8a4k3eQbyaosttObj7Ec";

    // Name generation process: 1 random from s1, 1 random from s2, and then 0-2 from s3
    string private constant s1 = "Cth,Az,Ap,Ch,Bl,Gh,Gl,Kr,M,Nl,Ny,D,Xy,Rh,U,Bl,Cz,En,Fz,H,Il,J,Jh,Y,YvK,Z,Zh,Sl,T,O,U,Ub,Os,Eh,Sh";
    uint256 private constant s1Length = 35;

    string private constant s2 = "ak,al,es,et,id,il,id,oo,or,ux,un,ap,ek,ex,in,ol,up,-af,-aw,'et,'ed,-in,-is,'od,-at,-of";
    uint256 private constant s2Length = 26;

    string private constant s3 = "ag,al,on,ak,ash,a,ber,bal,buk,cla,ced,ck,dar,dru,est,end,fli,fa,-fur,gen,ga,his,ha,ilk,in,-in,ju,ja,-ki,ll,lo,mo,-mu,ma,no,r,ss,sh,sto,ta,tha,un,vy,va,wy,wu,y,yy,z,zs,ton,gon,-man,lu,get,har,uz,ek,ec,-s";
    uint256 private constant s3Length = 60;

    // Max number of times we grab a syllable from s3
    uint256 private constant maxS3Iters = 2;

    // Max 10% royalty
    uint256 private constant MAX_ROYALTY = 1000;

    // Get ur akolytes before i yeet them
    uint256 private constant MIN_YEET_DELAY = 7 days;

    // For metadata
    uint256 constant DURATION = 42;

    /*//////////////////////////////////////////////////////////////
                         Immutables
    //////////////////////////////////////////////////////////////*/

    // Immutable contract reference vars
    address private immutable MONS;
    address private immutable SUDO_FACTORY;
    address private immutable GDA_ADDRESS;
    address private immutable LINEAR_ADDRESS;
    address private immutable XMON_ADDRESS;
    address payable public immutable ROYALTY_HANDER;
    uint256 private immutable START_TIME;

    // Babble babble
    IMarkov public immutable MARKOV;

    /*//////////////////////////////////////////////////////////////
                         Storage
    //////////////////////////////////////////////////////////////*/

    // Mapping of (id, 256 bits) => (owner address, 160 bits | unlockDate timestamp, 96 bits)
    mapping(uint256 => OwnerOfWithData) public ownerOfWithData;

    // Mapping of (token address, 160 bits | akolyte id, 96 bits) => amount already claimed for that id
    mapping(uint256 => uint256) public royaltyClaimedPerId;

    // Mapping of royalty amounts accumulated in total per royalty token
    mapping(address => uint256) public royaltyAccumulatedPerTokenType;

    // Seed overrides for speaking
    mapping(uint256 => uint256) public markovSeed;

    /*//////////////////////////////////////////////////////////////
                         Constructor
    //////////////////////////////////////////////////////////////*/

    constructor(address _mons, address _factory, address _markov, address _gda, address _xmon, address _linear)
        ERC721Minimal("Akolytes", "AKOL")
        Owned(msg.sender)
    {
        MONS = _mons;
        SUDO_FACTORY = _factory;
        ROYALTY_HANDER = payable(address(new RoyaltyHandler()));
        START_TIME = block.timestamp;
        MARKOV = IMarkov(_markov);
        GDA_ADDRESS = _gda;
        XMON_ADDRESS = _xmon;
        LINEAR_ADDRESS = _linear;

        // 5% royalty, set to this address
        _setDefaultRoyalty(address(this), 500);
    }

    /*//////////////////////////////////////////////////////////////
                 User Facing
    //////////////////////////////////////////////////////////////*/

    // Claim for mons
    function tap_to_summon_akolytes(uint256[] calldata ids) public {
        for (uint256 i; i < ids.length; ++i) {
            if (ERC721(MONS).ownerOf(ids[i]) != msg.sender) {
                revert Monless();
            }
        }
        _mint(msg.sender, ids);
    }

    // Claims royalties accrued for owned IDs
    function claimRoyalties(address royaltyToken, uint256[] calldata ids) public returns (uint256 royaltiesReceived) {
        uint256 idLength = ids.length;
        accumulateRoyalty(royaltyToken);
        uint256 amountPerId = royaltyAccumulatedPerTokenType[royaltyToken] / TOTAL_AKOLS;
        for (uint256 i; i < idLength; ++i) {
            if (ownerOf(ids[i]) == msg.sender) {
                uint256 idAndTokenKey = uint256(uint160(royaltyToken)) << 96 | ids[i];

                // This should undeflow if already claimed to the maximum amount
                uint256 royaltyToAdd = amountPerId - royaltyClaimedPerId[idAndTokenKey];

                // If we are sending a royalty amount, then keep track of the amount
                if (royaltyToAdd > 0) {
                    royaltiesReceived += royaltyToAdd;
                    royaltyClaimedPerId[idAndTokenKey] = amountPerId;
                }
            } else {
                revert Akoless();
            }
        }
        // If native token
        if (royaltyToken == address(0)) {
            RoyaltyHandler(ROYALTY_HANDER).sendETH(payable(msg.sender), royaltiesReceived);
        }
        // Otherwise, do ERC20 transfer
        else {
            RoyaltyHandler(ROYALTY_HANDER).sendERC20(msg.sender, royaltyToken, royaltiesReceived);
        }
        return royaltiesReceived;
    }

    // Accumulates royalties accrued
    function accumulateRoyalty(address royaltyToken) public {
        // Handle native token royalties
        if (royaltyToken == address(0)) {
            // Send balance and accumulate
            uint256 ethBalance = address(this).balance;
            royaltyAccumulatedPerTokenType[address(0)] += ethBalance;
            ROYALTY_HANDER.safeTransferETH(ethBalance);
            emit RoyaltiesClaimed(royaltyToken, ethBalance);
        } else {
            uint256 tokenBalance = ERC20(royaltyToken).balanceOf(address(this));
            royaltyAccumulatedPerTokenType[royaltyToken] += tokenBalance;
            ERC20(royaltyToken).safeTransfer(ROYALTY_HANDER, tokenBalance);
            emit RoyaltiesClaimed(royaltyToken, tokenBalance);
        }
    }

    function recast(uint256 id, uint256 seed) external payable {
        require(msg.value == 0.01 ether);
        require(ownerOf(id) == msg.sender);
        markovSeed[id] = seed;
    }

    /*//////////////////////////////////////////////////////////////
                   IERC721 Compliance
    //////////////////////////////////////////////////////////////*/

    // Overrides both ERC721 and ERC2981
    function supportsInterface(bytes4 interfaceId) public pure override(ERC2981, ERC721Minimal) returns (bool) {
        return interfaceId == 0x01ffc9a7 // ERC165 Interface ID for ERC165
            || interfaceId == 0x80ac58cd // ERC165 Interface ID for ERC721
            || interfaceId == type(IERC2981).interfaceId // ERC165 interface for IERC2981
            || interfaceId == 0x5b5e139f; // ERC165 Interface ID for ERC721Metadata
    }

    function ownerOf(uint256 id) public view override returns (address owner) {
        owner = ownerOfWithData[id].owner;
    }

    // Transfers and sets time delay if to/from a non-sudo pool
    function transferFrom(address from, address to, uint256 id) public override {
        if (from != ownerOf(id)) {
            revert WrongFrom();
        }
        if (to == address(0)) {
            revert NoZero();
        }
        if (msg.sender != from && !isApprovedForAll[from][msg.sender] && msg.sender != getApproved[id]) {
            revert Unauth();
        }

        // Underflow of the sender's balance is impossible because we check for
        // ownership above and the recipient's balance can't realistically overflow.
        unchecked {
            _balanceOf[from]--;
            _balanceOf[to]++;
        }
        delete getApproved[id];
        uint256 timestamp = block.timestamp;

        // Always allow transfer if one of the recipients is a sudo pool
        bool isPair;
        try PairFactoryLike(SUDO_FACTORY).isValidPair(from) returns (bool result) {
            isPair = result;
        } catch {}
        if (!isPair) {
            try PairFactoryLike(SUDO_FACTORY).isValidPair(to) returns (bool result) {
                isPair = result;
            } catch {}
        }
        // If either to or from a pool, always allow it
        if (isPair) {
            ownerOfWithData[id].owner = to;
        }
        // If one of the two recipients is not a sudo pool
        else {
            // Check if earlier than allowed, if so, then revert
            if (timestamp < ownerOfWithData[id].lastTransferTimestamp) {
                revert Cooldown();
            }
            // If it is past the cooldown, then we set a new cooldown, and let the transfer go through
            ownerOfWithData[id] = OwnerOfWithData({owner: to, lastTransferTimestamp: uint96(timestamp + 7 days)});
        }
        emit Transfer(from, to, id);
    }

    /*//////////////////////////////////////////////////////////////
                  Generative Metadata
    //////////////////////////////////////////////////////////////*/

    function getName(uint256 seed) public pure returns (string memory) {
        uint256 rng = seed;
        // Get uniform from s1
        string memory nameS1 = _getItemFromCSV(s1, rng % s1Length);
        // Update seed
        rng = uint256(keccak256(abi.encode(rng)));
        // Get uniform from s2
        string memory nameS2 = _getItemFromCSV(s2, rng % s2Length);
        // Concatenate the two
        string memory name = string(abi.encodePacked(nameS1, nameS2));
        // Update seed
        rng = uint256(keccak256(abi.encode(rng)));
        // Add any s3 syllables (if possible)
        for (uint256 i = 0; i < rng % (maxS3Iters + 1); i++) {
            string memory nameS3 = _getItemFromCSV(s3, rng % s3Length);
            rng = uint256(keccak256(abi.encode(rng)));
            name = string(abi.encodePacked(name, nameS3));
        }
        return name;
    }

    // @dev Don't worry about anything from here until the tokenURI
    function _getItemFromCSV(string memory str, uint256 index) internal pure returns (string memory) {
        StringLib.slice memory strSlice = str.toSlice();
        string memory separatorStr = ",";
        StringLib.slice memory separator = separatorStr.toSlice();
        StringLib.slice memory item;
        for (uint256 i = 0; i <= index; i++) {
            item = strSlice.split(separator);
        }
        return item.toString();
    }

    function d1(uint256 seed) internal pure returns (uint256 result) {
        uint256 start = 0;
        uint256 end = 512;
        uint256 diff = end + 1 - start;
        result = (seed % diff) + start;
    }

    function d2(uint256 seed) internal pure returns (uint256 result) {
        uint256 start = 0;
        uint256 end = 512;
        uint256 subresult1 = d1(seed);
        uint256 seed2 = uint256(keccak256(abi.encode(seed, start, end)));
        uint256 subresult2 = d1(seed2);
        result = (subresult1 + subresult2) / 2;
    }

    function d3(uint256 seed) internal pure returns (uint256 result) {
        uint256 start = 0;
        uint256 end = 512;
        uint256 midpoint = (start + end) / 2;
        uint256 d2Value = d2(seed);
        if (d2Value >= midpoint) {
            result = end - (d2Value - midpoint);
        } else {
            result = start + (midpoint - d2Value);
        }
    }

    function d4(uint256 seed) internal pure returns (uint256 result) {
        uint256 start = 0;
        uint256 end = 512;
        result = d1(seed);
        if (result % 2 == 1) {
            result = d1(uint256(keccak256(abi.encode(seed, start, end))));
        }
    }

    function d5(uint256 seed) internal pure returns (uint256 result) {
        uint256 selector = seed % 4;
        uint256 newSeed = uint256(keccak256(abi.encode(seed / d1(seed))));
        if (selector == 0) {
            result = d3(newSeed);
        } else if (selector == 1) {
            result = d1(newSeed);
        } else if (selector == 2) {
            result = d2(newSeed);
        } else if (selector == 3) {}
        result = d4(newSeed);
    }

    function d6(uint256 id) internal pure returns (uint256) {
        if (id == 0) {
            return 0;
        }
        for (uint256 i = 2; i <= id / 2; i++) {
            uint256 result = id - ((id / i) * i);
            if (result == 0) {
                return 1;
            }
        }
        return 2;
    }

    function secondD(uint256 seed, uint256 id) internal pure returns (string memory) {
        return string(
            abi.encodePacked(
                '"trait_type": "4tiart",' '"value": "',
                Strings.toString(d4(seed)),
                '"},{',
                '"trait_type": "V",' '"value": "',
                Strings.toString(d5(seed)),
                '"},{',
                '"trait_type": "-- . . . .",' '"value": "',
                Strings.toString(d6(id)),
                '"}'
            )
        );
    }

    function getD(uint256 seed, uint256 id) internal pure returns (string memory) {
        return string(
            abi.encodePacked(
                "{",
                '"trait_type": "TRAIT ONE",' '"value": "',
                Strings.toString(d1(seed)),
                '"},{',
                '"trait_type": "7R417_2",' '"value": "',
                Strings.toString(d2(seed)),
                '"},{',
                '"trait_type": "trait3",' '"value": "',
                Strings.toString(d3(seed)),
                '"},{',
                secondD(seed, id)
            )
        );
    }

    function getMagic(uint256 id) public view returns (uint256) {
        if (markovSeed[id] == 0) {
          return uint256(keccak256(abi.encode(id)));
        }
        else {
          return uint256(keccak256(abi.encode(id, markovSeed[id])));
        }
    }

    // Handles metadata from arweave hash, constructs name and metadata
    function tokenURI(uint256 id) public view override returns (string memory) {
        uint256 seed = uint256(keccak256(abi.encode(id, uint160(SUDO_FACTORY))));
        return string(
            abi.encodePacked(
                "data:application/json;base64,",
                Base64.encode(
                    bytes(
                        abi.encodePacked(
                            '{"name":"',
                            getName(id),
                            '", "description":"',
                            MARKOV.speak(getMagic(id), DURATION),
                            '", "image": "',
                            "ar://",
                            ARWEAVE_HASH,
                            "/m",
                            Strings.toString(id),
                            ".gif",
                            '", "attributes": [',
                            getD(seed, id),
                            "]",
                            "}"
                        )
                    )
                )
            )
        );
    }

    /*//////////////////////////////////////////////////////////////
                      Mint x Pool 
    //////////////////////////////////////////////////////////////*/

    function _mint(address to, uint256[] memory ids) internal virtual {
        require(to != address(0), "INVALID_RECIPIENT");
        uint256 numIds = ids.length;
        unchecked {
            _balanceOf[to] += numIds;
        }
        for (uint256 i; i < numIds;) {
            uint256 id = ids[i];
            if (id >= TOTAL_AKOLS) {
                revert Scarce();
            }
            require(ownerOf(id) == address(0), "ALREADY_MINTED");
            ownerOfWithData[id].owner = to;
            emit Transfer(address(0), to, id);
            unchecked {
                ++i;
            }
        }
    }

    function initPools() public onlyOwner returns (address gdaPool, address tradePool){
        uint256[] memory empty = new uint256[](0);
        gdaPool = address(
            PairFactoryLike(SUDO_FACTORY).createPairERC721ERC20(
                PairFactoryLike.CreateERC721ERC20PairParams({
                    token: ERC20(XMON_ADDRESS),
                    nft: IERC721(address(this)),
                    bondingCurve: ICurve(GDA_ADDRESS),
                    assetRecipient: payable(address(0)),
                    poolType: LSSVMPair.PoolType.NFT,
                    delta: ((uint128(1500000000) << 88)) | ((uint128(11574) << 48)) | uint128(block.timestamp),
                    fee: 0,
                    spotPrice: 5 ether,
                    propertyChecker: address(0),
                    initialNFTIDs: empty,
                    initialTokenBalance: 0
                })
            )
        );
        tradePool = address(
            PairFactoryLike(SUDO_FACTORY).createPairERC721ETH(
                IERC721(address(this)),
                ICurve(LINEAR_ADDRESS),
                payable(address(this)),
                LSSVMPair.PoolType.TRADE,
                0.0128 ether,
                0,
                0.0128 ether,
                address(0),
                empty
            )
        );
        uint256[] memory akolytesToDeposit = new uint256[](69);
        for (uint256 i; i < 69;) {
            akolytesToDeposit[i] = 341 + i;
            unchecked {
                ++i;
            }
        }
        _mint(gdaPool, akolytesToDeposit);
        akolytesToDeposit = new uint256[](102);
        for (uint256 i; i < 102;) {
            akolytesToDeposit[i] = 410 + i;
            unchecked {
                ++i;
            }
        }
        _mint(tradePool, akolytesToDeposit);
    }

    /*//////////////////////////////////////////////////////////////
                        Conveniences
    //////////////////////////////////////////////////////////////*/

    function idsForAddress(address a) external view returns (uint256[] memory) {
        uint256 balance = balanceOf(a);
        uint256[] memory ids = new uint256[](balance);
        if (balance > 0) {
            uint256 counter = 0;
            for (uint256 i; i < TOTAL_AKOLS;) {
                address owner = ownerOfWithData[i].owner;
                if (owner == a) {
                    ids[counter] = i;
                    unchecked {
                        ++counter;
                    }
                    if (counter == balance) {
                        return ids;
                    }
                }
                unchecked {
                    ++i;
                }
            }
        }
        return ids;
    }

    function royaltiesAccrued(uint256[] memory ids, address royaltyToken)
        external
        view
        returns (uint256[] memory royaltyPerId)
    {
        uint256 idLength = ids.length;
        royaltyPerId = new uint256[](idLength);
        uint256 amountPerId = royaltyAccumulatedPerTokenType[royaltyToken] / TOTAL_AKOLS;
        for (uint256 i; i < idLength; ++i) {
            uint256 idAndTokenKey = uint256(uint160(royaltyToken)) << 96 | ids[i];
            royaltyPerId[i] = amountPerId - royaltyClaimedPerId[idAndTokenKey];
        }
    }

    /*//////////////////////////////////////////////////////////////
                        Tweaks
    //////////////////////////////////////////////////////////////*/

    function adjustRoyalty(uint96 newRoyalty) public onlyOwner {
        if (newRoyalty <= MAX_ROYALTY) {
            _setDefaultRoyalty(address(this), newRoyalty);
            emit NewRoyalty(newRoyalty);
        } else {
            revert TooHigh();
        }
    }

    function yeet(uint256[] calldata ids) public onlyOwner {
        // Can only yeet after min yeet delay
        if (block.timestamp < START_TIME + MIN_YEET_DELAY) {
            revert NoYeet();
        }

        // Can only yeet below 341 (ensures no supply rug)
        uint256 numIds = ids.length;
        for (uint256 i; i < numIds; ++i) {
            if (ids[i] >= 341) {
                revert Scarce();
            }
        }

        _mint(msg.sender, ids);
    }

    // Receive ETH
    receive() external payable {}
}

// SPDX-License-Identifier: AGPL-3.0-only
pragma solidity >=0.8.0;

/// @notice Modern and gas efficient ERC20 + EIP-2612 implementation.
/// @author Solmate (https://github.com/transmissions11/solmate/blob/main/src/tokens/ERC20.sol)
/// @author Modified from Uniswap (https://github.com/Uniswap/uniswap-v2-core/blob/master/contracts/UniswapV2ERC20.sol)
/// @dev Do not manually set balances without updating totalSupply, as the sum of all user balances must not exceed it.
abstract contract ERC20 {
    /*//////////////////////////////////////////////////////////////
                                 EVENTS
    //////////////////////////////////////////////////////////////*/

    event Transfer(address indexed from, address indexed to, uint256 amount);

    event Approval(address indexed owner, address indexed spender, uint256 amount);

    /*//////////////////////////////////////////////////////////////
                            METADATA STORAGE
    //////////////////////////////////////////////////////////////*/

    string public name;

    string public symbol;

    uint8 public immutable decimals;

    /*//////////////////////////////////////////////////////////////
                              ERC20 STORAGE
    //////////////////////////////////////////////////////////////*/

    uint256 public totalSupply;

    mapping(address => uint256) public balanceOf;

    mapping(address => mapping(address => uint256)) public allowance;

    /*//////////////////////////////////////////////////////////////
                            EIP-2612 STORAGE
    //////////////////////////////////////////////////////////////*/

    uint256 internal immutable INITIAL_CHAIN_ID;

    bytes32 internal immutable INITIAL_DOMAIN_SEPARATOR;

    mapping(address => uint256) public nonces;

    /*//////////////////////////////////////////////////////////////
                               CONSTRUCTOR
    //////////////////////////////////////////////////////////////*/

    constructor(
        string memory _name,
        string memory _symbol,
        uint8 _decimals
    ) {
        name = _name;
        symbol = _symbol;
        decimals = _decimals;

        INITIAL_CHAIN_ID = block.chainid;
        INITIAL_DOMAIN_SEPARATOR = computeDomainSeparator();
    }

    /*//////////////////////////////////////////////////////////////
                               ERC20 LOGIC
    //////////////////////////////////////////////////////////////*/

    function approve(address spender, uint256 amount) public virtual returns (bool) {
        allowance[msg.sender][spender] = amount;

        emit Approval(msg.sender, spender, amount);

        return true;
    }

    function transfer(address to, uint256 amount) public virtual returns (bool) {
        balanceOf[msg.sender] -= amount;

        // Cannot overflow because the sum of all user
        // balances can't exceed the max uint256 value.
        unchecked {
            balanceOf[to] += amount;
        }

        emit Transfer(msg.sender, to, amount);

        return true;
    }

    function transferFrom(
        address from,
        address to,
        uint256 amount
    ) public virtual returns (bool) {
        uint256 allowed = allowance[from][msg.sender]; // Saves gas for limited approvals.

        if (allowed != type(uint256).max) allowance[from][msg.sender] = allowed - amount;

        balanceOf[from] -= amount;

        // Cannot overflow because the sum of all user
        // balances can't exceed the max uint256 value.
        unchecked {
            balanceOf[to] += amount;
        }

        emit Transfer(from, to, amount);

        return true;
    }

    /*//////////////////////////////////////////////////////////////
                             EIP-2612 LOGIC
    //////////////////////////////////////////////////////////////*/

    function permit(
        address owner,
        address spender,
        uint256 value,
        uint256 deadline,
        uint8 v,
        bytes32 r,
        bytes32 s
    ) public virtual {
        require(deadline >= block.timestamp, "PERMIT_DEADLINE_EXPIRED");

        // Unchecked because the only math done is incrementing
        // the owner's nonce which cannot realistically overflow.
        unchecked {
            address recoveredAddress = ecrecover(
                keccak256(
                    abi.encodePacked(
                        "\x19\x01",
                        DOMAIN_SEPARATOR(),
                        keccak256(
                            abi.encode(
                                keccak256(
                                    "Permit(address owner,address spender,uint256 value,uint256 nonce,uint256 deadline)"
                                ),
                                owner,
                                spender,
                                value,
                                nonces[owner]++,
                                deadline
                            )
                        )
                    )
                ),
                v,
                r,
                s
            );

            require(recoveredAddress != address(0) && recoveredAddress == owner, "INVALID_SIGNER");

            allowance[recoveredAddress][spender] = value;
        }

        emit Approval(owner, spender, value);
    }

    function DOMAIN_SEPARATOR() public view virtual returns (bytes32) {
        return block.chainid == INITIAL_CHAIN_ID ? INITIAL_DOMAIN_SEPARATOR : computeDomainSeparator();
    }

    function computeDomainSeparator() internal view virtual returns (bytes32) {
        return
            keccak256(
                abi.encode(
                    keccak256("EIP712Domain(string name,string version,uint256 chainId,address verifyingContract)"),
                    keccak256(bytes(name)),
                    keccak256("1"),
                    block.chainid,
                    address(this)
                )
            );
    }

    /*//////////////////////////////////////////////////////////////
                        INTERNAL MINT/BURN LOGIC
    //////////////////////////////////////////////////////////////*/

    function _mint(address to, uint256 amount) internal virtual {
        totalSupply += amount;

        // Cannot overflow because the sum of all user
        // balances can't exceed the max uint256 value.
        unchecked {
            balanceOf[to] += amount;
        }

        emit Transfer(address(0), to, amount);
    }

    function _burn(address from, uint256 amount) internal virtual {
        balanceOf[from] -= amount;

        // Cannot underflow because a user's balance
        // will never be larger than the total supply.
        unchecked {
            totalSupply -= amount;
        }

        emit Transfer(from, address(0), amount);
    }
}

// SPDX-License-Identifier: AGPL-3.0-only
pragma solidity >=0.8.0;

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

/// @notice Safe ETH and ERC20 transfer library that gracefully handles missing return values.
/// @author Solmate (https://github.com/transmissions11/solmate/blob/main/src/utils/SafeTransferLib.sol)
/// @dev Use with caution! Some functions in this library knowingly create dirty bits at the destination of the free memory pointer.
/// @dev Note that none of the functions in this library check that a token has code at all! That responsibility is delegated to the caller.
library SafeTransferLib {
    /*//////////////////////////////////////////////////////////////
                             ETH OPERATIONS
    //////////////////////////////////////////////////////////////*/

    function safeTransferETH(address to, uint256 amount) internal {
        bool success;

        /// @solidity memory-safe-assembly
        assembly {
            // Transfer the ETH and store if it succeeded or not.
            success := call(gas(), to, amount, 0, 0, 0, 0)
        }

        require(success, "ETH_TRANSFER_FAILED");
    }

    /*//////////////////////////////////////////////////////////////
                            ERC20 OPERATIONS
    //////////////////////////////////////////////////////////////*/

    function safeTransferFrom(
        ERC20 token,
        address from,
        address to,
        uint256 amount
    ) internal {
        bool success;

        /// @solidity memory-safe-assembly
        assembly {
            // Get a pointer to some free memory.
            let freeMemoryPointer := mload(0x40)

            // Write the abi-encoded calldata into memory, beginning with the function selector.
            mstore(freeMemoryPointer, 0x23b872dd00000000000000000000000000000000000000000000000000000000)
            mstore(add(freeMemoryPointer, 4), and(from, 0xffffffffffffffffffffffffffffffffffffffff)) // Append and mask the "from" argument.
            mstore(add(freeMemoryPointer, 36), and(to, 0xffffffffffffffffffffffffffffffffffffffff)) // Append and mask the "to" argument.
            mstore(add(freeMemoryPointer, 68), amount) // Append the "amount" argument. Masking not required as it's a full 32 byte type.

            success := and(
                // Set success to whether the call reverted, if not we check it either
                // returned exactly 1 (can't just be non-zero data), or had no return data.
                or(and(eq(mload(0), 1), gt(returndatasize(), 31)), iszero(returndatasize())),
                // We use 100 because the length of our calldata totals up like so: 4 + 32 * 3.
                // We use 0 and 32 to copy up to 32 bytes of return data into the scratch space.
                // Counterintuitively, this call must be positioned second to the or() call in the
                // surrounding and() call or else returndatasize() will be zero during the computation.
                call(gas(), token, 0, freeMemoryPointer, 100, 0, 32)
            )
        }

        require(success, "TRANSFER_FROM_FAILED");
    }

    function safeTransfer(
        ERC20 token,
        address to,
        uint256 amount
    ) internal {
        bool success;

        /// @solidity memory-safe-assembly
        assembly {
            // Get a pointer to some free memory.
            let freeMemoryPointer := mload(0x40)

            // Write the abi-encoded calldata into memory, beginning with the function selector.
            mstore(freeMemoryPointer, 0xa9059cbb00000000000000000000000000000000000000000000000000000000)
            mstore(add(freeMemoryPointer, 4), and(to, 0xffffffffffffffffffffffffffffffffffffffff)) // Append and mask the "to" argument.
            mstore(add(freeMemoryPointer, 36), amount) // Append the "amount" argument. Masking not required as it's a full 32 byte type.

            success := and(
                // Set success to whether the call reverted, if not we check it either
                // returned exactly 1 (can't just be non-zero data), or had no return data.
                or(and(eq(mload(0), 1), gt(returndatasize(), 31)), iszero(returndatasize())),
                // We use 68 because the length of our calldata totals up like so: 4 + 32 * 2.
                // We use 0 and 32 to copy up to 32 bytes of return data into the scratch space.
                // Counterintuitively, this call must be positioned second to the or() call in the
                // surrounding and() call or else returndatasize() will be zero during the computation.
                call(gas(), token, 0, freeMemoryPointer, 68, 0, 32)
            )
        }

        require(success, "TRANSFER_FAILED");
    }

    function safeApprove(
        ERC20 token,
        address to,
        uint256 amount
    ) internal {
        bool success;

        /// @solidity memory-safe-assembly
        assembly {
            // Get a pointer to some free memory.
            let freeMemoryPointer := mload(0x40)

            // Write the abi-encoded calldata into memory, beginning with the function selector.
            mstore(freeMemoryPointer, 0x095ea7b300000000000000000000000000000000000000000000000000000000)
            mstore(add(freeMemoryPointer, 4), and(to, 0xffffffffffffffffffffffffffffffffffffffff)) // Append and mask the "to" argument.
            mstore(add(freeMemoryPointer, 36), amount) // Append the "amount" argument. Masking not required as it's a full 32 byte type.

            success := and(
                // Set success to whether the call reverted, if not we check it either
                // returned exactly 1 (can't just be non-zero data), or had no return data.
                or(and(eq(mload(0), 1), gt(returndatasize(), 31)), iszero(returndatasize())),
                // We use 68 because the length of our calldata totals up like so: 4 + 32 * 2.
                // We use 0 and 32 to copy up to 32 bytes of return data into the scratch space.
                // Counterintuitively, this call must be positioned second to the or() call in the
                // surrounding and() call or else returndatasize() will be zero during the computation.
                call(gas(), token, 0, freeMemoryPointer, 68, 0, 32)
            )
        }

        require(success, "APPROVE_FAILED");
    }
}

// SPDX-License-Identifier: AGPL-3.0-only
pragma solidity >=0.8.0;

/// @notice Simple single owner authorization mixin.
/// @author Solmate (https://github.com/transmissions11/solmate/blob/main/src/auth/Owned.sol)
abstract contract Owned {
    /*//////////////////////////////////////////////////////////////
                                 EVENTS
    //////////////////////////////////////////////////////////////*/

    event OwnershipTransferred(address indexed user, address indexed newOwner);

    /*//////////////////////////////////////////////////////////////
                            OWNERSHIP STORAGE
    //////////////////////////////////////////////////////////////*/

    address public owner;

    modifier onlyOwner() virtual {
        require(msg.sender == owner, "UNAUTHORIZED");

        _;
    }

    /*//////////////////////////////////////////////////////////////
                               CONSTRUCTOR
    //////////////////////////////////////////////////////////////*/

    constructor(address _owner) {
        owner = _owner;

        emit OwnershipTransferred(address(0), _owner);
    }

    /*//////////////////////////////////////////////////////////////
                             OWNERSHIP LOGIC
    //////////////////////////////////////////////////////////////*/

    function transferOwnership(address newOwner) public virtual onlyOwner {
        owner = newOwner;

        emit OwnershipTransferred(msg.sender, newOwner);
    }
}

// SPDX-License-Identifier: AGPL-3.0-only
pragma solidity >=0.8.0;

/// @notice Modern, minimalist, and gas efficient ERC-721 implementation.
/// @author Solmate (https://github.com/transmissions11/solmate/blob/main/src/tokens/ERC721.sol)
abstract contract ERC721 {
    /*//////////////////////////////////////////////////////////////
                                 EVENTS
    //////////////////////////////////////////////////////////////*/

    event Transfer(address indexed from, address indexed to, uint256 indexed id);

    event Approval(address indexed owner, address indexed spender, uint256 indexed id);

    event ApprovalForAll(address indexed owner, address indexed operator, bool approved);

    /*//////////////////////////////////////////////////////////////
                         METADATA STORAGE/LOGIC
    //////////////////////////////////////////////////////////////*/

    string public name;

    string public symbol;

    function tokenURI(uint256 id) public view virtual returns (string memory);

    /*//////////////////////////////////////////////////////////////
                      ERC721 BALANCE/OWNER STORAGE
    //////////////////////////////////////////////////////////////*/

    mapping(uint256 => address) internal _ownerOf;

    mapping(address => uint256) internal _balanceOf;

    function ownerOf(uint256 id) public view virtual returns (address owner) {
        require((owner = _ownerOf[id]) != address(0), "NOT_MINTED");
    }

    function balanceOf(address owner) public view virtual returns (uint256) {
        require(owner != address(0), "ZERO_ADDRESS");

        return _balanceOf[owner];
    }

    /*//////////////////////////////////////////////////////////////
                         ERC721 APPROVAL STORAGE
    //////////////////////////////////////////////////////////////*/

    mapping(uint256 => address) public getApproved;

    mapping(address => mapping(address => bool)) public isApprovedForAll;

    /*//////////////////////////////////////////////////////////////
                               CONSTRUCTOR
    //////////////////////////////////////////////////////////////*/

    constructor(string memory _name, string memory _symbol) {
        name = _name;
        symbol = _symbol;
    }

    /*//////////////////////////////////////////////////////////////
                              ERC721 LOGIC
    //////////////////////////////////////////////////////////////*/

    function approve(address spender, uint256 id) public virtual {
        address owner = _ownerOf[id];

        require(msg.sender == owner || isApprovedForAll[owner][msg.sender], "NOT_AUTHORIZED");

        getApproved[id] = spender;

        emit Approval(owner, spender, id);
    }

    function setApprovalForAll(address operator, bool approved) public virtual {
        isApprovedForAll[msg.sender][operator] = approved;

        emit ApprovalForAll(msg.sender, operator, approved);
    }

    function transferFrom(
        address from,
        address to,
        uint256 id
    ) public virtual {
        require(from == _ownerOf[id], "WRONG_FROM");

        require(to != address(0), "INVALID_RECIPIENT");

        require(
            msg.sender == from || isApprovedForAll[from][msg.sender] || msg.sender == getApproved[id],
            "NOT_AUTHORIZED"
        );

        // Underflow of the sender's balance is impossible because we check for
        // ownership above and the recipient's balance can't realistically overflow.
        unchecked {
            _balanceOf[from]--;

            _balanceOf[to]++;
        }

        _ownerOf[id] = to;

        delete getApproved[id];

        emit Transfer(from, to, id);
    }

    function safeTransferFrom(
        address from,
        address to,
        uint256 id
    ) public virtual {
        transferFrom(from, to, id);

        require(
            to.code.length == 0 ||
                ERC721TokenReceiver(to).onERC721Received(msg.sender, from, id, "") ==
                ERC721TokenReceiver.onERC721Received.selector,
            "UNSAFE_RECIPIENT"
        );
    }

    function safeTransferFrom(
        address from,
        address to,
        uint256 id,
        bytes calldata data
    ) public virtual {
        transferFrom(from, to, id);

        require(
            to.code.length == 0 ||
                ERC721TokenReceiver(to).onERC721Received(msg.sender, from, id, data) ==
                ERC721TokenReceiver.onERC721Received.selector,
            "UNSAFE_RECIPIENT"
        );
    }

    /*//////////////////////////////////////////////////////////////
                              ERC165 LOGIC
    //////////////////////////////////////////////////////////////*/

    function supportsInterface(bytes4 interfaceId) public view virtual returns (bool) {
        return
            interfaceId == 0x01ffc9a7 || // ERC165 Interface ID for ERC165
            interfaceId == 0x80ac58cd || // ERC165 Interface ID for ERC721
            interfaceId == 0x5b5e139f; // ERC165 Interface ID for ERC721Metadata
    }

    /*//////////////////////////////////////////////////////////////
                        INTERNAL MINT/BURN LOGIC
    //////////////////////////////////////////////////////////////*/

    function _mint(address to, uint256 id) internal virtual {
        require(to != address(0), "INVALID_RECIPIENT");

        require(_ownerOf[id] == address(0), "ALREADY_MINTED");

        // Counter overflow is incredibly unrealistic.
        unchecked {
            _balanceOf[to]++;
        }

        _ownerOf[id] = to;

        emit Transfer(address(0), to, id);
    }

    function _burn(uint256 id) internal virtual {
        address owner = _ownerOf[id];

        require(owner != address(0), "NOT_MINTED");

        // Ownership check above ensures no underflow.
        unchecked {
            _balanceOf[owner]--;
        }

        delete _ownerOf[id];

        delete getApproved[id];

        emit Transfer(owner, address(0), id);
    }

    /*//////////////////////////////////////////////////////////////
                        INTERNAL SAFE MINT LOGIC
    //////////////////////////////////////////////////////////////*/

    function _safeMint(address to, uint256 id) internal virtual {
        _mint(to, id);

        require(
            to.code.length == 0 ||
                ERC721TokenReceiver(to).onERC721Received(msg.sender, address(0), id, "") ==
                ERC721TokenReceiver.onERC721Received.selector,
            "UNSAFE_RECIPIENT"
        );
    }

    function _safeMint(
        address to,
        uint256 id,
        bytes memory data
    ) internal virtual {
        _mint(to, id);

        require(
            to.code.length == 0 ||
                ERC721TokenReceiver(to).onERC721Received(msg.sender, address(0), id, data) ==
                ERC721TokenReceiver.onERC721Received.selector,
            "UNSAFE_RECIPIENT"
        );
    }
}

/// @notice A generic interface for a contract which properly accepts ERC721 tokens.
/// @author Solmate (https://github.com/transmissions11/solmate/blob/main/src/tokens/ERC721.sol)
abstract contract ERC721TokenReceiver {
    function onERC721Received(
        address,
        address,
        uint256,
        bytes calldata
    ) external virtual returns (bytes4) {
        return ERC721TokenReceiver.onERC721Received.selector;
    }
}

// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts (last updated v4.9.0) (token/common/ERC2981.sol)

pragma solidity ^0.8.0;

import "../../interfaces/IERC2981.sol";
import "../../utils/introspection/ERC165.sol";

/**
 * @dev Implementation of the NFT Royalty Standard, a standardized way to retrieve royalty payment information.
 *
 * Royalty information can be specified globally for all token ids via {_setDefaultRoyalty}, and/or individually for
 * specific token ids via {_setTokenRoyalty}. The latter takes precedence over the first.
 *
 * Royalty is specified as a fraction of sale price. {_feeDenominator} is overridable but defaults to 10000, meaning the
 * fee is specified in basis points by default.
 *
 * IMPORTANT: ERC-2981 only specifies a way to signal royalty information and does not enforce its payment. See
 * https://eips.ethereum.org/EIPS/eip-2981#optional-royalty-payments[Rationale] in the EIP. Marketplaces are expected to
 * voluntarily pay royalties together with sales, but note that this standard is not yet widely supported.
 *
 * _Available since v4.5._
 */
abstract contract ERC2981 is IERC2981, ERC165 {
    struct RoyaltyInfo {
        address receiver;
        uint96 royaltyFraction;
    }

    RoyaltyInfo private _defaultRoyaltyInfo;
    mapping(uint256 => RoyaltyInfo) private _tokenRoyaltyInfo;

    /**
     * @dev See {IERC165-supportsInterface}.
     */
    function supportsInterface(bytes4 interfaceId) public view virtual override(IERC165, ERC165) returns (bool) {
        return interfaceId == type(IERC2981).interfaceId || super.supportsInterface(interfaceId);
    }

    /**
     * @inheritdoc IERC2981
     */
    function royaltyInfo(uint256 tokenId, uint256 salePrice) public view virtual override returns (address, uint256) {
        RoyaltyInfo memory royalty = _tokenRoyaltyInfo[tokenId];

        if (royalty.receiver == address(0)) {
            royalty = _defaultRoyaltyInfo;
        }

        uint256 royaltyAmount = (salePrice * royalty.royaltyFraction) / _feeDenominator();

        return (royalty.receiver, royaltyAmount);
    }

    /**
     * @dev The denominator with which to interpret the fee set in {_setTokenRoyalty} and {_setDefaultRoyalty} as a
     * fraction of the sale price. Defaults to 10000 so fees are expressed in basis points, but may be customized by an
     * override.
     */
    function _feeDenominator() internal pure virtual returns (uint96) {
        return 10000;
    }

    /**
     * @dev Sets the royalty information that all ids in this contract will default to.
     *
     * Requirements:
     *
     * - `receiver` cannot be the zero address.
     * - `feeNumerator` cannot be greater than the fee denominator.
     */
    function _setDefaultRoyalty(address receiver, uint96 feeNumerator) internal virtual {
        require(feeNumerator <= _feeDenominator(), "ERC2981: royalty fee will exceed salePrice");
        require(receiver != address(0), "ERC2981: invalid receiver");

        _defaultRoyaltyInfo = RoyaltyInfo(receiver, feeNumerator);
    }

    /**
     * @dev Removes default royalty information.
     */
    function _deleteDefaultRoyalty() internal virtual {
        delete _defaultRoyaltyInfo;
    }

    /**
     * @dev Sets the royalty information for a specific token id, overriding the global default.
     *
     * Requirements:
     *
     * - `receiver` cannot be the zero address.
     * - `feeNumerator` cannot be greater than the fee denominator.
     */
    function _setTokenRoyalty(uint256 tokenId, address receiver, uint96 feeNumerator) internal virtual {
        require(feeNumerator <= _feeDenominator(), "ERC2981: royalty fee will exceed salePrice");
        require(receiver != address(0), "ERC2981: Invalid parameters");

        _tokenRoyaltyInfo[tokenId] = RoyaltyInfo(receiver, feeNumerator);
    }

    /**
     * @dev Resets royalty information for the token id back to the global default.
     */
    function _resetTokenRoyalty(uint256 tokenId) internal virtual {
        delete _tokenRoyaltyInfo[tokenId];
    }
}

// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts (last updated v4.9.0) (interfaces/IERC2981.sol)

pragma solidity ^0.8.0;

import "../utils/introspection/IERC165.sol";

/**
 * @dev Interface for the NFT Royalty Standard.
 *
 * A standardized way to retrieve royalty payment information for non-fungible tokens (NFTs) to enable universal
 * support for royalty payments across all NFT marketplaces and ecosystem participants.
 *
 * _Available since v4.5._
 */
interface IERC2981 is IERC165 {
    /**
     * @dev Returns how much royalty is owed and to whom, based on a sale price that may be denominated in any unit of
     * exchange. The royalty amount is denominated and should be paid in that same unit of exchange.
     */
    function royaltyInfo(
        uint256 tokenId,
        uint256 salePrice
    ) external view returns (address receiver, uint256 royaltyAmount);
}

// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts (last updated v4.9.0) (utils/Strings.sol)

pragma solidity ^0.8.0;

import "./math/Math.sol";
import "./math/SignedMath.sol";

/**
 * @dev String operations.
 */
library Strings {
    bytes16 private constant _SYMBOLS = "0123456789abcdef";
    uint8 private constant _ADDRESS_LENGTH = 20;

    /**
     * @dev Converts a `uint256` to its ASCII `string` decimal representation.
     */
    function toString(uint256 value) internal pure returns (string memory) {
        unchecked {
            uint256 length = Math.log10(value) + 1;
            string memory buffer = new string(length);
            uint256 ptr;
            /// @solidity memory-safe-assembly
            assembly {
                ptr := add(buffer, add(32, length))
            }
            while (true) {
                ptr--;
                /// @solidity memory-safe-assembly
                assembly {
                    mstore8(ptr, byte(mod(value, 10), _SYMBOLS))
                }
                value /= 10;
                if (value == 0) break;
            }
            return buffer;
        }
    }

    /**
     * @dev Converts a `int256` to its ASCII `string` decimal representation.
     */
    function toString(int256 value) internal pure returns (string memory) {
        return string(abi.encodePacked(value < 0 ? "-" : "", toString(SignedMath.abs(value))));
    }

    /**
     * @dev Converts a `uint256` to its ASCII `string` hexadecimal representation.
     */
    function toHexString(uint256 value) internal pure returns (string memory) {
        unchecked {
            return toHexString(value, Math.log256(value) + 1);
        }
    }

    /**
     * @dev Converts a `uint256` to its ASCII `string` hexadecimal representation with fixed length.
     */
    function toHexString(uint256 value, uint256 length) internal pure returns (string memory) {
        bytes memory buffer = new bytes(2 * length + 2);
        buffer[0] = "0";
        buffer[1] = "x";
        for (uint256 i = 2 * length + 1; i > 1; --i) {
            buffer[i] = _SYMBOLS[value & 0xf];
            value >>= 4;
        }
        require(value == 0, "Strings: hex length insufficient");
        return string(buffer);
    }

    /**
     * @dev Converts an `address` with fixed length of 20 bytes to its not checksummed ASCII `string` hexadecimal representation.
     */
    function toHexString(address addr) internal pure returns (string memory) {
        return toHexString(uint256(uint160(addr)), _ADDRESS_LENGTH);
    }

    /**
     * @dev Returns true if the two strings are equal.
     */
    function equal(string memory a, string memory b) internal pure returns (bool) {
        return keccak256(bytes(a)) == keccak256(bytes(b));
    }
}

// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts (last updated v4.9.0) (token/ERC721/IERC721.sol)

pragma solidity ^0.8.0;

import "../../utils/introspection/IERC165.sol";

/**
 * @dev Required interface of an ERC721 compliant contract.
 */
interface IERC721 is IERC165 {
    /**
     * @dev Emitted when `tokenId` token is transferred from `from` to `to`.
     */
    event Transfer(address indexed from, address indexed to, uint256 indexed tokenId);

    /**
     * @dev Emitted when `owner` enables `approved` to manage the `tokenId` token.
     */
    event Approval(address indexed owner, address indexed approved, uint256 indexed tokenId);

    /**
     * @dev Emitted when `owner` enables or disables (`approved`) `operator` to manage all of its assets.
     */
    event ApprovalForAll(address indexed owner, address indexed operator, bool approved);

    /**
     * @dev Returns the number of tokens in ``owner``'s account.
     */
    function balanceOf(address owner) external view returns (uint256 balance);

    /**
     * @dev Returns the owner of the `tokenId` token.
     *
     * Requirements:
     *
     * - `tokenId` must exist.
     */
    function ownerOf(uint256 tokenId) external view returns (address owner);

    /**
     * @dev Safely transfers `tokenId` token from `from` to `to`.
     *
     * Requirements:
     *
     * - `from` cannot be the zero address.
     * - `to` cannot be the zero address.
     * - `tokenId` token must exist and be owned by `from`.
     * - If the caller is not `from`, it must be approved to move this token by either {approve} or {setApprovalForAll}.
     * - If `to` refers to a smart contract, it must implement {IERC721Receiver-onERC721Received}, which is called upon a safe transfer.
     *
     * Emits a {Transfer} event.
     */
    function safeTransferFrom(address from, address to, uint256 tokenId, bytes calldata data) external;

    /**
     * @dev Safely transfers `tokenId` token from `from` to `to`, checking first that contract recipients
     * are aware of the ERC721 protocol to prevent tokens from being forever locked.
     *
     * Requirements:
     *
     * - `from` cannot be the zero address.
     * - `to` cannot be the zero address.
     * - `tokenId` token must exist and be owned by `from`.
     * - If the caller is not `from`, it must have been allowed to move this token by either {approve} or {setApprovalForAll}.
     * - If `to` refers to a smart contract, it must implement {IERC721Receiver-onERC721Received}, which is called upon a safe transfer.
     *
     * Emits a {Transfer} event.
     */
    function safeTransferFrom(address from, address to, uint256 tokenId) external;

    /**
     * @dev Transfers `tokenId` token from `from` to `to`.
     *
     * WARNING: Note that the caller is responsible to confirm that the recipient is capable of receiving ERC721
     * or else they may be permanently lost. Usage of {safeTransferFrom} prevents loss, though the caller must
     * understand this adds an external call which potentially creates a reentrancy vulnerability.
     *
     * Requirements:
     *
     * - `from` cannot be the zero address.
     * - `to` cannot be the zero address.
     * - `tokenId` token must be owned by `from`.
     * - If the caller is not `from`, it must be approved to move this token by either {approve} or {setApprovalForAll}.
     *
     * Emits a {Transfer} event.
     */
    function transferFrom(address from, address to, uint256 tokenId) external;

    /**
     * @dev Gives permission to `to` to transfer `tokenId` token to another account.
     * The approval is cleared when the token is transferred.
     *
     * Only a single account can be approved at a time, so approving the zero address clears previous approvals.
     *
     * Requirements:
     *
     * - The caller must own the token or be an approved operator.
     * - `tokenId` must exist.
     *
     * Emits an {Approval} event.
     */
    function approve(address to, uint256 tokenId) external;

    /**
     * @dev Approve or remove `operator` as an operator for the caller.
     * Operators can call {transferFrom} or {safeTransferFrom} for any token owned by the caller.
     *
     * Requirements:
     *
     * - The `operator` cannot be the caller.
     *
     * Emits an {ApprovalForAll} event.
     */
    function setApprovalForAll(address operator, bool approved) external;

    /**
     * @dev Returns the account approved for `tokenId` token.
     *
     * Requirements:
     *
     * - `tokenId` must exist.
     */
    function getApproved(uint256 tokenId) external view returns (address operator);

    /**
     * @dev Returns if the `operator` is allowed to manage all of the assets of `owner`.
     *
     * See {setApprovalForAll}
     */
    function isApprovedForAll(address owner, address operator) external view returns (bool);
}

// SPDX-License-Identifier: AGPL-3.0
pragma solidity ^0.8.0;

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

interface ICurve {
    /**
     * @notice Validates if a delta value is valid for the curve. The criteria for
     * validity can be different for each type of curve, for instance ExponentialCurve
     * requires delta to be greater than 1.
     * @param delta The delta value to be validated
     * @return valid True if delta is valid, false otherwise
     */
    function validateDelta(uint128 delta) external pure returns (bool valid);

    /**
     * @notice Validates if a new spot price is valid for the curve. Spot price is generally assumed to be the immediate sell price of 1 NFT to the pool, in units of the pool's paired token.
     * @param newSpotPrice The new spot price to be set
     * @return valid True if the new spot price is valid, false otherwise
     */
    function validateSpotPrice(uint128 newSpotPrice) external view returns (bool valid);

    /**
     * @notice Given the current state of the pair and the trade, computes how much the user
     * should pay to purchase an NFT from the pair, the new spot price, and other values.
     * @param spotPrice The current selling spot price of the pair, in tokens
     * @param delta The delta parameter of the pair, what it means depends on the curve
     * @param numItems The number of NFTs the user is buying from the pair
     * @param feeMultiplier Determines how much fee the LP takes from this trade, 18 decimals
     * @param protocolFeeMultiplier Determines how much fee the protocol takes from this trade, 18 decimals
     * @return error Any math calculation errors, only Error.OK means the returned values are valid
     * @return newSpotPrice The updated selling spot price, in tokens
     * @return newDelta The updated delta, used to parameterize the bonding curve
     * @return inputValue The amount that the user should pay, in tokens
     * @return tradeFee The amount that is sent to the trade fee recipient
     * @return protocolFee The amount of fee to send to the protocol, in tokens
     */
    function getBuyInfo(
        uint128 spotPrice,
        uint128 delta,
        uint256 numItems,
        uint256 feeMultiplier,
        uint256 protocolFeeMultiplier
    )
        external
        view
        returns (
            CurveErrorCodes.Error error,
            uint128 newSpotPrice,
            uint128 newDelta,
            uint256 inputValue,
            uint256 tradeFee,
            uint256 protocolFee
        );

    /**
     * @notice Given the current state of the pair and the trade, computes how much the user
     * should receive when selling NFTs to the pair, the new spot price, and other values.
     * @param spotPrice The current selling spot price of the pair, in tokens
     * @param delta The delta parameter of the pair, what it means depends on the curve
     * @param numItems The number of NFTs the user is selling to the pair
     * @param feeMultiplier Determines how much fee the LP takes from this trade, 18 decimals
     * @param protocolFeeMultiplier Determines how much fee the protocol takes from this trade, 18 decimals
     * @return error Any math calculation errors, only Error.OK means the returned values are valid
     * @return newSpotPrice The updated selling spot price, in tokens
     * @return newDelta The updated delta, used to parameterize the bonding curve
     * @return outputValue The amount that the user should receive, in tokens
     * @return tradeFee The amount that is sent to the trade fee recipient
     * @return protocolFee The amount of fee to send to the protocol, in tokens
     */
    function getSellInfo(
        uint128 spotPrice,
        uint128 delta,
        uint256 numItems,
        uint256 feeMultiplier,
        uint256 protocolFeeMultiplier
    )
        external
        view
        returns (
            CurveErrorCodes.Error error,
            uint128 newSpotPrice,
            uint128 newDelta,
            uint256 outputValue,
            uint256 tradeFee,
            uint256 protocolFee
        );
}

// SPDX-License-Identifier: AGPL-3.0
pragma solidity ^0.8.0;

import {IRoyaltyEngineV1} from "manifoldxyz/IRoyaltyEngineV1.sol";

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

import {Address} from "@openzeppelin/contracts/utils/Address.sol";
import {IERC721} from "@openzeppelin/contracts/token/ERC721/IERC721.sol";
import {IERC1155} from "@openzeppelin/contracts/token/ERC1155/IERC1155.sol";
import {ERC721Holder} from "@openzeppelin/contracts/token/ERC721/utils/ERC721Holder.sol";
import {ERC1155Holder} from "@openzeppelin/contracts/token/ERC1155/utils/ERC1155Holder.sol";

import {LSSVMRouter} from "./LSSVMRouter.sol";
import {ICurve} from "./bonding-curves/ICurve.sol";
import {ILSSVMPairFactoryLike} from "./ILSSVMPairFactoryLike.sol";
import {CurveErrorCodes} from "./bonding-curves/CurveErrorCodes.sol";
import {IOwnershipTransferReceiver} from "./lib/IOwnershipTransferReceiver.sol";
import {OwnableWithTransferCallback} from "./lib/OwnableWithTransferCallback.sol";

/**
 * @title The base contract for an NFT/TOKEN AMM pair
 * @author boredGenius, 0xmons, 0xCygaar
 * @notice This implements the core swap logic from NFT to TOKEN
 */
abstract contract LSSVMPair is OwnableWithTransferCallback, ERC721Holder, ERC1155Holder {
    /**
     * Library usage **
     */

    using Address for address;

    /**
     *  Enums **
     */

    enum PoolType {
        TOKEN,
        NFT,
        TRADE
    }

    /**
     * Constants **
     */

    /**
     * @dev 50%, must <= 1 - MAX_PROTOCOL_FEE (set in LSSVMPairFactory)
     */
    uint256 internal constant MAX_TRADE_FEE = 0.5e18;

    /**
     *  Immutable params **
     */

    /**
     * @notice Sudoswap Royalty Engine
     */
    IRoyaltyEngineV1 public immutable ROYALTY_ENGINE;

    /**
     *  Storage variables **
     */

    /**
     * @dev This is generally used to mean the immediate sell price for the next marginal NFT.
     * However, this should NOT be assumed, as bonding curves may use spotPrice in different ways.
     * Use getBuyNFTQuote and getSellNFTQuote for accurate pricing info.
     */
    uint128 public spotPrice;

    /**
     * @notice The parameter for the pair's bonding curve.
     * Units and meaning are bonding curve dependent.
     */
    uint128 public delta;

    /**
     * @notice The spread between buy and sell prices, set to be a multiplier we apply to the buy price
     * Fee is only relevant for TRADE pools. Units are in base 1e18.
     */
    uint96 public fee;

    /**
     * @notice The address that swapped assets are sent to.
     * For TRADE pools, assets are always sent to the pool, so this is used to track trade fee.
     * If set to address(0), will default to owner() for NFT and TOKEN pools.
     */
    address payable internal assetRecipient;

    /**
     *  Events
     */

    event SwapNFTInPair(uint256 amountOut, uint256[] ids);
    event SwapNFTInPair(uint256 amountOut, uint256 numNFTs);
    event SwapNFTOutPair(uint256 amountIn, uint256[] ids);
    event SwapNFTOutPair(uint256 amountIn, uint256 numNFTs);
    event SpotPriceUpdate(uint128 newSpotPrice);
    event TokenDeposit(uint256 amount);
    event TokenWithdrawal(uint256 amount);
    event NFTWithdrawal(uint256[] ids);
    event NFTWithdrawal(uint256 numNFTs);
    event DeltaUpdate(uint128 newDelta);
    event FeeUpdate(uint96 newFee);
    event AssetRecipientChange(address indexed a);

    /**
     *  Errors
     */

    error LSSVMPair__NotRouter();
    error LSSVMPair__CallFailed();
    error LSSVMPair__InvalidDelta();
    error LSSVMPair__WrongPoolType();
    error LSSVMPair__OutputTooSmall();
    error LSSVMPair__ZeroSwapAmount();
    error LSSVMPair__RoyaltyTooLarge();
    error LSSVMPair__TradeFeeTooLarge();
    error LSSVMPair__InvalidSpotPrice();
    error LSSVMPair__TargetNotAllowed();
    error LSSVMPair__NftNotTransferred();
    error LSSVMPair__AlreadyInitialized();
    error LSSVMPair__FunctionNotAllowed();
    error LSSVMPair__DemandedInputTooLarge();
    error LSSVMPair__NonTradePoolWithTradeFee();
    error LSSVMPair__BondingCurveError(CurveErrorCodes.Error error);

    constructor(IRoyaltyEngineV1 royaltyEngine) {
        ROYALTY_ENGINE = royaltyEngine;
    }

    /**
     * @notice Called during pair creation to set initial parameters
     * @dev Only called once by factory to initialize.
     * We verify this by making sure that the current owner is address(0).
     * The Ownable library we use disallows setting the owner to be address(0), so this condition
     * should only be valid before the first initialize call.
     * @param _owner The owner of the pair
     * @param _assetRecipient The address that will receive the TOKEN or NFT sent to this pair during swaps. NOTE: If set to address(0), they will go to the pair itself.
     * @param _delta The initial delta of the bonding curve
     * @param _fee The initial % fee taken, if this is a trade pair
     * @param _spotPrice The initial price to sell an asset into the pair
     */
    function initialize(
        address _owner,
        address payable _assetRecipient,
        uint128 _delta,
        uint96 _fee,
        uint128 _spotPrice
    ) external {
        if (owner() != address(0)) revert LSSVMPair__AlreadyInitialized();
        __Ownable_init(_owner);

        ICurve _bondingCurve = bondingCurve();
        PoolType _poolType = poolType();
        if (_poolType != PoolType.TRADE) {
            if (_fee != 0) revert LSSVMPair__NonTradePoolWithTradeFee();
        } else {
            if (_fee > MAX_TRADE_FEE) revert LSSVMPair__TradeFeeTooLarge();
            fee = _fee;
        }

        assetRecipient = _assetRecipient;

        if (!_bondingCurve.validateDelta(_delta)) revert LSSVMPair__InvalidDelta();
        if (!_bondingCurve.validateSpotPrice(_spotPrice)) revert LSSVMPair__InvalidSpotPrice();
        delta = _delta;
        spotPrice = _spotPrice;
    }

    /**
     * External state-changing functions
     */

    /**
     * @notice Sends token to the pair in exchange for a specific set of NFTs
     * @dev To compute the amount of token to send, call bondingCurve.getBuyInfo
     * This swap is meant for users who want specific IDs. Also higher chance of
     * reverting if some of the specified IDs leave the pool before the swap goes through.
     * @param nftIds The list of IDs of the NFTs to purchase
     * @param maxExpectedTokenInput The maximum acceptable cost from the sender. If the actual
     * amount is greater than this value, the transaction will be reverted.
     * @param nftRecipient The recipient of the NFTs
     * @param isRouter True if calling from LSSVMRouter, false otherwise. Not used for ETH pairs.
     * @param routerCaller If isRouter is true, ERC20 tokens will be transferred from this address. Not used for ETH pairs.
     * @return - The amount of token used for purchase
     */
    function swapTokenForSpecificNFTs(
        uint256[] calldata nftIds,
        uint256 maxExpectedTokenInput,
        address nftRecipient,
        bool isRouter,
        address routerCaller
    ) external payable virtual returns (uint256);

    /**
     * @notice Sends a set of NFTs to the pair in exchange for token
     * @dev To compute the amount of token to that will be received, call bondingCurve.getSellInfo.
     * @param nftIds The list of IDs of the NFTs to sell to the pair
     * @param minExpectedTokenOutput The minimum acceptable token received by the sender. If the actual
     * amount is less than this value, the transaction will be reverted.
     * @param tokenRecipient The recipient of the token output
     * @param isRouter True if calling from LSSVMRouter, false otherwise. Not used for
     * ETH pairs.
     * @param routerCaller If isRouter is true, ERC20 tokens will be transferred from this address. Not used for
     * ETH pairs.
     * @return outputAmount The amount of token received
     */
    function swapNFTsForToken(
        uint256[] calldata nftIds,
        uint256 minExpectedTokenOutput,
        address payable tokenRecipient,
        bool isRouter,
        address routerCaller
    ) external virtual returns (uint256 outputAmount);

    /**
     * View functions
     */

    /**
     * @dev Used as read function to query the bonding curve for buy pricing info
     * @param numNFTs The number of NFTs to buy from the pair
     */
    function getBuyNFTQuote(uint256 assetId, uint256 numNFTs)
        external
        view
        returns (
            CurveErrorCodes.Error error,
            uint256 newSpotPrice,
            uint256 newDelta,
            uint256 inputAmount,
            uint256 protocolFee,
            uint256 royaltyAmount
        )
    {
        uint256 tradeFee;
        (error, newSpotPrice, newDelta, inputAmount, tradeFee, protocolFee) =
            bondingCurve().getBuyInfo(spotPrice, delta, numNFTs, fee, factory().protocolFeeMultiplier());

        if (numNFTs != 0) {
            // Calculate the inputAmount minus tradeFee and protocolFee
            uint256 inputAmountMinusFees = inputAmount - tradeFee - protocolFee;

            // Compute royalties
            (,, royaltyAmount) = calculateRoyaltiesView(assetId, inputAmountMinusFees);

            inputAmount += royaltyAmount;
        }
    }

    /**
     * @dev Used as read function to query the bonding curve for sell pricing info including royalties
     * @param numNFTs The number of NFTs to sell to the pair
     */
    function getSellNFTQuote(uint256 assetId, uint256 numNFTs)
        external
        view
        returns (
            CurveErrorCodes.Error error,
            uint256 newSpotPrice,
            uint256 newDelta,
            uint256 outputAmount,
            uint256 protocolFee,
            uint256 royaltyAmount
        )
    {
        (error, newSpotPrice, newDelta, outputAmount, /* tradeFee */, protocolFee) =
            bondingCurve().getSellInfo(spotPrice, delta, numNFTs, fee, factory().protocolFeeMultiplier());

        if (numNFTs != 0) {
            // Compute royalties
            (,, royaltyAmount) = calculateRoyaltiesView(assetId, outputAmount);

            // Deduct royalties from outputAmount
            unchecked {
                // Safe because we already require outputAmount >= royaltyAmount in _calculateRoyalties()
                outputAmount -= royaltyAmount;
            }
        }
    }

    /**
     * @notice Returns the pair's variant (Pair uses ETH or ERC20)
     */
    function pairVariant() public pure virtual returns (ILSSVMPairFactoryLike.PairVariant);

    function factory() public pure returns (ILSSVMPairFactoryLike _factory) {
        uint256 paramsLength = _immutableParamsLength();
        assembly {
            _factory := shr(0x60, calldataload(sub(calldatasize(), paramsLength)))
        }
    }

    /**
     * @notice Returns the type of bonding curve that parameterizes the pair
     */
    function bondingCurve() public pure returns (ICurve _bondingCurve) {
        uint256 paramsLength = _immutableParamsLength();
        assembly {
            _bondingCurve := shr(0x60, calldataload(add(sub(calldatasize(), paramsLength), 20)))
        }
    }

    /**
     * @notice Returns the address of NFT collection that parameterizes the pair
     */
    function nft() public pure returns (address _nft) {
        uint256 paramsLength = _immutableParamsLength();
        assembly {
            _nft := shr(0x60, calldataload(add(sub(calldatasize(), paramsLength), 40)))
        }
    }

    /**
     * @notice Returns the pair's type (TOKEN/NFT/TRADE)
     */
    function poolType() public pure returns (PoolType _poolType) {
        uint256 paramsLength = _immutableParamsLength();
        assembly {
            _poolType := shr(0xf8, calldataload(add(sub(calldatasize(), paramsLength), 60)))
        }
    }

    /**
     * @notice Returns the address that receives assets when a swap is done with this pair
     * Can be set to another address by the owner, but has no effect on TRADE pools
     * If set to address(0), defaults to owner() for NFT/TOKEN pools
     */
    function getAssetRecipient() public view returns (address payable) {
        // TRADE pools will always receive the asset themselves
        if (poolType() == PoolType.TRADE) {
            return payable(address(this));
        }

        address payable _assetRecipient = assetRecipient;

        // Otherwise, we return the recipient if it's been set
        // Or, we replace it with owner() if it's address(0)
        if (_assetRecipient == address(0)) {
            return payable(owner());
        }
        return _assetRecipient;
    }

    /**
     * @notice Returns the address that receives trade fees when a swap is done with this pair
     * Only relevant for TRADE pools
     * If set to address(0), defaults to the pair itself
     */
    function getFeeRecipient() public view returns (address payable _feeRecipient) {
        _feeRecipient = assetRecipient;
        if (_feeRecipient == address(0)) {
            _feeRecipient = payable(address(this));
        }
    }

    /**
     * Internal functions
     */

    /**
     * @notice Calculates the amount needed to be sent into the pair for a buy and adjusts spot price or delta if necessary
     * @param numNFTs The amount of NFTs to purchase from the pair
     * @param _bondingCurve The bonding curve to use for price calculation
     * @param _factory The factory to use for protocol fee lookup
     * @return tradeFee The amount of tokens to send as trade fee
     * @return protocolFee The amount of tokens to send as protocol fee
     * @return inputAmount The amount of tokens total tokens receive
     */
    function _calculateBuyInfoAndUpdatePoolParams(uint256 numNFTs, ICurve _bondingCurve, ILSSVMPairFactoryLike _factory)
        internal
        returns (uint256 tradeFee, uint256 protocolFee, uint256 inputAmount)
    {
        CurveErrorCodes.Error error;
        // Save on 2 SLOADs by caching
        uint128 currentSpotPrice = spotPrice;
        uint128 currentDelta = delta;
        uint128 newDelta;
        uint128 newSpotPrice;
        (error, newSpotPrice, newDelta, inputAmount, tradeFee, protocolFee) =
            _bondingCurve.getBuyInfo(currentSpotPrice, currentDelta, numNFTs, fee, _factory.protocolFeeMultiplier());

        // Revert if bonding curve had an error
        if (error != CurveErrorCodes.Error.OK) {
            revert LSSVMPair__BondingCurveError(error);
        }

        // Consolidate writes to save gas
        if (currentSpotPrice != newSpotPrice || currentDelta != newDelta) {
            spotPrice = newSpotPrice;
            delta = newDelta;
        }

        // Emit spot price update if it has been updated
        if (currentSpotPrice != newSpotPrice) {
            emit SpotPriceUpdate(newSpotPrice);
        }

        // Emit delta update if it has been updated
        if (currentDelta != newDelta) {
            emit DeltaUpdate(newDelta);
        }
    }

    /**
     * @notice Calculates the amount needed to be sent by the pair for a sell and adjusts spot price or delta if necessary
     * @param numNFTs The amount of NFTs to send to the the pair
     * @param _bondingCurve The bonding curve to use for price calculation
     * @param _factory The factory to use for protocol fee lookup
     * @return protocolFee The amount of tokens to send as protocol fee
     * @return outputAmount The amount of tokens total tokens receive
     */
    function _calculateSellInfoAndUpdatePoolParams(
        uint256 numNFTs,
        ICurve _bondingCurve,
        ILSSVMPairFactoryLike _factory
    ) internal returns (uint256 protocolFee, uint256 outputAmount) {
        CurveErrorCodes.Error error;
        // Save on 2 SLOADs by caching
        uint128 currentSpotPrice = spotPrice;
        uint128 currentDelta = delta;
        uint128 newSpotPrice;
        uint128 newDelta;
        (error, newSpotPrice, newDelta, outputAmount, /*tradeFee*/, protocolFee) =
            _bondingCurve.getSellInfo(currentSpotPrice, currentDelta, numNFTs, fee, _factory.protocolFeeMultiplier());

        // Revert if bonding curve had an error
        if (error != CurveErrorCodes.Error.OK) {
            revert LSSVMPair__BondingCurveError(error);
        }

        // Consolidate writes to save gas
        if (currentSpotPrice != newSpotPrice || currentDelta != newDelta) {
            spotPrice = newSpotPrice;
            delta = newDelta;
        }

        // Emit spot price update if it has been updated
        if (currentSpotPrice != newSpotPrice) {
            emit SpotPriceUpdate(newSpotPrice);
        }

        // Emit delta update if it has been updated
        if (currentDelta != newDelta) {
            emit DeltaUpdate(newDelta);
        }
    }

    /**
     * @notice Pulls the token input of a trade from the trader (including all royalties and fees)
     * @param inputAmountExcludingRoyalty The amount of tokens to be sent, excluding the royalty (includes protocol fee)
     * @param royaltyAmounts The amounts of tokens to be sent as royalties
     * @param royaltyRecipients The recipients of the royalties
     * @param royaltyTotal The sum of all royaltyAmounts
     * @param tradeFeeAmount The amount of tokens to be sent as trade fee (if applicable)
     * @param isRouter Whether or not the caller is LSSVMRouter
     * @param routerCaller If called from LSSVMRouter, store the original caller
     * @param protocolFee The protocol fee to be paid
     */
    function _pullTokenInputs(
        uint256 inputAmountExcludingRoyalty,
        uint256[] memory royaltyAmounts,
        address payable[] memory royaltyRecipients,
        uint256 royaltyTotal,
        uint256 tradeFeeAmount,
        bool isRouter,
        address routerCaller,
        uint256 protocolFee
    ) internal virtual;

    /**
     * @notice Sends excess tokens back to the caller (if applicable)
     * @dev Swap callers interacting with an ETH pair must be able to receive ETH (e.g. if the caller sends too much ETH)
     */
    function _refundTokenToSender(uint256 inputAmount) internal virtual;

    /**
     * @notice Sends tokens to a recipient
     * @param tokenRecipient The address receiving the tokens
     * @param outputAmount The amount of tokens to send
     */
    function _sendTokenOutput(address payable tokenRecipient, uint256 outputAmount) internal virtual;

    /**
     * @dev Used internally to grab pair parameters from calldata, see LSSVMPairCloner for technical details
     */
    function _immutableParamsLength() internal pure virtual returns (uint256);

    /**
     * Royalty support functions
     */

    function _calculateRoyalties(uint256 assetId, uint256 saleAmount)
        internal
        returns (address payable[] memory royaltyRecipients, uint256[] memory royaltyAmounts, uint256 royaltyTotal)
    {
        (address payable[] memory recipients, uint256[] memory amounts) =
            ROYALTY_ENGINE.getRoyalty(nft(), assetId, saleAmount);
        return _calculateRoyaltiesLogic(recipients, amounts, saleAmount);
    }

    /**
     * @dev Same as _calculateRoyalties, but uses getRoyaltyView to avoid state mutations and is public for external callers
     */
    function calculateRoyaltiesView(uint256 assetId, uint256 saleAmount)
        public
        view
        returns (address payable[] memory royaltyRecipients, uint256[] memory royaltyAmounts, uint256 royaltyTotal)
    {
        (address payable[] memory recipients, uint256[] memory amounts) =
            ROYALTY_ENGINE.getRoyaltyView(nft(), assetId, saleAmount);
        return _calculateRoyaltiesLogic(recipients, amounts, saleAmount);
    }

    /**
     * @dev Common logic used by _calculateRoyalties() and calculateRoyaltiesView()
     */
    function _calculateRoyaltiesLogic(address payable[] memory recipients, uint256[] memory amounts, uint256 saleAmount)
        internal
        view
        returns (address payable[] memory royaltyRecipients, uint256[] memory royaltyAmounts, uint256 royaltyTotal)
    {
        // Cache to save gas
        uint256 numRecipients = recipients.length;

        if (numRecipients != 0) {
            // If a pair has custom Settings, use the overridden royalty amount and only use the first receiver
            try factory().getSettingsForPair(address(this)) returns (bool settingsEnabled, uint96 bps) {
                if (settingsEnabled) {
                    royaltyRecipients = new address payable[](1);
                    royaltyRecipients[0] = recipients[0];
                    royaltyAmounts = new uint256[](1);
                    royaltyAmounts[0] = (saleAmount * bps) / 10000;

                    // Update numRecipients to match new recipients list
                    numRecipients = 1;
                } else {
                    royaltyRecipients = recipients;
                    royaltyAmounts = amounts;
                }
            } catch {
                // Use the input values to calculate royalties if factory call fails
                royaltyRecipients = recipients;
                royaltyAmounts = amounts;
            }
        }

        for (uint256 i; i < numRecipients;) {
            royaltyTotal += royaltyAmounts[i];
            unchecked {
                ++i;
            }
        }

        // Ensure royalty total is at most 25% of the sale amount
        // This defends against a rogue Manifold registry that charges extremely high royalties
        if (royaltyTotal > saleAmount >> 2) {
            revert LSSVMPair__RoyaltyTooLarge();
        }
    }

    /**
     * Owner functions
     */

    /**
     * @notice Rescues a specified set of NFTs owned by the pair to the owner address. (onlyOwnable modifier is in the implemented function)
     * @param a The NFT to transfer
     * @param nftIds The list of IDs of the NFTs to send to the owner
     */
    function withdrawERC721(IERC721 a, uint256[] calldata nftIds) external virtual;

    /**
     * @notice Rescues ERC20 tokens from the pair to the owner. Only callable by the owner (onlyOwnable modifier is in the implemented function).
     * @param a The token to transfer
     * @param amount The amount of tokens to send to the owner
     */
    function withdrawERC20(ERC20 a, uint256 amount) external virtual;

    /**
     * @notice Rescues ERC1155 tokens from the pair to the owner. Only callable by the owner.
     * @param a The NFT to transfer
     * @param ids The NFT ids to transfer
     * @param amounts The amounts of each id to transfer
     */
    function withdrawERC1155(IERC1155 a, uint256[] calldata ids, uint256[] calldata amounts) external virtual;

    /**
     * @notice Updates the selling spot price. Only callable by the owner.
     * @param newSpotPrice The new selling spot price value, in Token
     */
    function changeSpotPrice(uint128 newSpotPrice) external onlyOwner {
        ICurve _bondingCurve = bondingCurve();
        if (!_bondingCurve.validateSpotPrice(newSpotPrice)) revert LSSVMPair__InvalidSpotPrice();
        if (spotPrice != newSpotPrice) {
            spotPrice = newSpotPrice;
            emit SpotPriceUpdate(newSpotPrice);
        }
    }

    /**
     * @notice Updates the delta parameter. Only callable by the owner.
     * @param newDelta The new delta parameter
     */
    function changeDelta(uint128 newDelta) external onlyOwner {
        ICurve _bondingCurve = bondingCurve();
        if (!_bondingCurve.validateDelta(newDelta)) revert LSSVMPair__InvalidDelta();
        if (delta != newDelta) {
            delta = newDelta;
            emit DeltaUpdate(newDelta);
        }
    }

    /**
     * @notice Updates the fee taken by the LP. Only callable by the owner.
     * Only callable if the pool is a Trade pool. Reverts if the fee is >= MAX_FEE.
     * @param newFee The new LP fee percentage, 18 decimals
     */
    function changeFee(uint96 newFee) external onlyOwner {
        PoolType _poolType = poolType();
        if (_poolType != PoolType.TRADE) revert LSSVMPair__NonTradePoolWithTradeFee();
        if (newFee > MAX_TRADE_FEE) revert LSSVMPair__TradeFeeTooLarge();
        if (fee != newFee) {
            fee = newFee;
            emit FeeUpdate(newFee);
        }
    }

    /**
     * @notice Changes the address that will receive assets received from
     * trades. Only callable by the owner.
     * @param newRecipient The new asset recipient
     */
    function changeAssetRecipient(address payable newRecipient) external onlyOwner {
        if (assetRecipient != newRecipient) {
            assetRecipient = newRecipient;
            emit AssetRecipientChange(newRecipient);
        }
    }

    function _preCallCheck(address target) internal virtual;

    /**
     * @notice Allows the pair to make arbitrary external calls to contracts
     * whitelisted by the protocol. Only callable by the owner.
     * @param target The contract to call
     * @param data The calldata to pass to the contract
     */
    function call(address payable target, bytes calldata data) external onlyOwner {
        ILSSVMPairFactoryLike _factory = factory();
        if (!_factory.callAllowed(target)) revert LSSVMPair__TargetNotAllowed();

        // Ensure the call isn't calling a banned function
        bytes4 sig = bytes4(data[:4]);
        if (
            sig == IOwnershipTransferReceiver.onOwnershipTransferred.selector
                || sig == LSSVMRouter.pairTransferERC20From.selector || sig == LSSVMRouter.pairTransferNFTFrom.selector
                || sig == LSSVMRouter.pairTransferERC1155From.selector || sig == ILSSVMPairFactoryLike.openLock.selector
                || sig == ILSSVMPairFactoryLike.closeLock.selector
        ) {
            revert LSSVMPair__FunctionNotAllowed();
        }

        // Prevent calling the pair's underlying nft
        // (We ban calling the underlying NFT/ERC20 to avoid maliciously transferring assets approved for the pair to spend)
        if (target == nft()) revert LSSVMPair__TargetNotAllowed();

        _preCallCheck(target);

        (bool success,) = target.call{value: 0}(data);
        if (!success) revert LSSVMPair__CallFailed();
    }

    /**
     * @notice Allows owner to batch multiple calls, forked from: https://github.com/boringcrypto/BoringSolidity/blob/master/contracts/BoringBatchable.sol
     * @notice The revert handling is forked from: https://github.com/OpenZeppelin/openzeppelin-contracts/blob/c239e1af8d1a1296577108dd6989a17b57434f8e/contracts/utils/Address.sol#L201
     * @dev Intended for withdrawing/altering pool pricing in one tx, only callable by owner, cannot change owner
     * @param calls The calldata for each call to make
     * @param revertOnFail Whether or not to revert the entire tx if any of the calls fail. Calls to transferOwnership will revert regardless.
     */
    function multicall(bytes[] calldata calls, bool revertOnFail) external onlyOwner {
        for (uint256 i; i < calls.length;) {
            bytes4 sig = bytes4(calls[i][:4]);
            // We ban calling transferOwnership when ownership
            if (sig == transferOwnership.selector) revert LSSVMPair__FunctionNotAllowed();

            (bool success, bytes memory result) = address(this).delegatecall(calls[i]);
            if (!success && revertOnFail) {
                assembly {
                    revert(add(0x20, result), mload(result))
                }
            }

            unchecked {
                ++i;
            }
        }
    }
}

// SPDX-License-Identifier: MIT
pragma solidity ^0.8.0;

import {IERC721} from "openzeppelin-contracts/contracts/token/ERC721/IERC721.sol";
import {ICurve} from "lssvm2/bonding-curves/ICurve.sol";
import {LSSVMPair} from "lssvm2/LSSVMPair.sol";
import {ERC20} from "solmate/tokens/ERC20.sol";

interface PairFactoryLike {
    function isValidPair(address pairAddress) external view returns (bool);

    function createPairERC721ETH(
        IERC721 _nft,
        ICurve _bondingCurve,
        address payable _assetRecipient,
        LSSVMPair.PoolType _poolType,
        uint128 _delta,
        uint96 _fee,
        uint128 _spotPrice,
        address _propertyChecker,
        uint256[] calldata _initialNFTIDs
    ) external payable returns (LSSVMPair pair);

    struct CreateERC721ERC20PairParams {
        ERC20 token;
        IERC721 nft;
        ICurve bondingCurve;
        address payable assetRecipient;
        LSSVMPair.PoolType poolType;
        uint128 delta;
        uint96 fee;
        uint128 spotPrice;
        address propertyChecker;
        uint256[] initialNFTIDs;
        uint256 initialTokenBalance;
    }

    function createPairERC721ERC20(CreateERC721ERC20PairParams calldata params) external returns (LSSVMPair pair);
}

// SPDX-License-Identifier: MIT
pragma solidity 0.8.20;

import {ERC20} from "solmate/tokens/ERC20.sol";
import {Owned} from "solmate/auth/Owned.sol";
import {SafeTransferLib} from "solmate/utils/SafeTransferLib.sol";

contract RoyaltyHandler is Owned {
    using SafeTransferLib for address payable;
    using SafeTransferLib for ERC20;

    constructor() Owned(msg.sender) {}

    function sendETH(address payable to, uint256 amount) external onlyOwner {
        to.safeTransferETH(amount);
    }

    function sendERC20(address to, address erc20Address, uint256 amount) external onlyOwner {
        ERC20(erc20Address).safeTransfer(to, amount);
    }

    receive() external payable {}
}

// SPDX-License-Identifier: MIT
pragma solidity >=0.8.0;

/// @notice Modern, minimalist, and gas efficient ERC-721 implementation.
/// @author Forked from Solmate (https://github.com/transmissions11/solmate/blob/main/src/tokens/ERC721.sol)
abstract contract ERC721Minimal {
    /*//////////////////////////////////////////////////////////////
                                 EVENTS
    //////////////////////////////////////////////////////////////*/

    event Transfer(address indexed from, address indexed to, uint256 indexed id);

    event Approval(address indexed owner, address indexed spender, uint256 indexed id);

    event ApprovalForAll(address indexed owner, address indexed operator, bool approved);

    /*//////////////////////////////////////////////////////////////
                         METADATA STORAGE/LOGIC
    //////////////////////////////////////////////////////////////*/

    string public name;

    string public symbol;

    function tokenURI(uint256 id) public view virtual returns (string memory);

    /*//////////////////////////////////////////////////////////////
                      ERC721 BALANCE/OWNER STORAGE
    //////////////////////////////////////////////////////////////*/

    mapping(address => uint256) internal _balanceOf;

    function ownerOf(uint256 id) public view virtual returns (address owner);

    function balanceOf(address owner) public view virtual returns (uint256) {
        require(owner != address(0), "ZERO_ADDRESS");

        return _balanceOf[owner];
    }

    /*//////////////////////////////////////////////////////////////
                         ERC721 APPROVAL STORAGE
    //////////////////////////////////////////////////////////////*/

    mapping(uint256 => address) public getApproved;

    mapping(address => mapping(address => bool)) public isApprovedForAll;

    /*//////////////////////////////////////////////////////////////
                               CONSTRUCTOR
    //////////////////////////////////////////////////////////////*/

    constructor(string memory _name, string memory _symbol) {
        name = _name;
        symbol = _symbol;
    }

    /*//////////////////////////////////////////////////////////////
                              ERC721 LOGIC
    //////////////////////////////////////////////////////////////*/

    function approve(address spender, uint256 id) public virtual {
        address owner = ownerOf(id);

        require(msg.sender == owner || isApprovedForAll[owner][msg.sender], "NOT_AUTHORIZED");

        getApproved[id] = spender;

        emit Approval(owner, spender, id);
    }

    function setApprovalForAll(address operator, bool approved) public virtual {
        isApprovedForAll[msg.sender][operator] = approved;

        emit ApprovalForAll(msg.sender, operator, approved);
    }

    function transferFrom(address from, address to, uint256 id) public virtual;

    function safeTransferFrom(address from, address to, uint256 id) public virtual {
        transferFrom(from, to, id);

        require(
            to.code.length == 0
                || ERC721TokenReceiver(to).onERC721Received(msg.sender, from, id, "")
                    == ERC721TokenReceiver.onERC721Received.selector,
            "UNSAFE_RECIPIENT"
        );
    }

    function safeTransferFrom(address from, address to, uint256 id, bytes calldata data) public virtual {
        transferFrom(from, to, id);

        require(
            to.code.length == 0
                || ERC721TokenReceiver(to).onERC721Received(msg.sender, from, id, data)
                    == ERC721TokenReceiver.onERC721Received.selector,
            "UNSAFE_RECIPIENT"
        );
    }

    /*//////////////////////////////////////////////////////////////
                              ERC165 LOGIC
    //////////////////////////////////////////////////////////////*/

    function supportsInterface(bytes4 interfaceId) public view virtual returns (bool) {
        return interfaceId == 0x01ffc9a7 // ERC165 Interface ID for ERC165
            || interfaceId == 0x80ac58cd // ERC165 Interface ID for ERC721
            || interfaceId == 0x5b5e139f; // ERC165 Interface ID for ERC721Metadata
    }
}

/// @notice A generic interface for a contract which properly accepts ERC721 tokens.
/// @author Solmate (https://github.com/transmissions11/solmate/blob/main/src/tokens/ERC721.sol)
abstract contract ERC721TokenReceiver {
    function onERC721Received(address, address, uint256, bytes calldata) external virtual returns (bytes4) {
        return ERC721TokenReceiver.onERC721Received.selector;
    }
}

// SPDX-License-Identifier: MIT
pragma solidity 0.8.20;

library StringLib {
    struct slice {
        uint256 _len;
        uint256 _ptr;
    }

    function memcpy(uint256 dest, uint256 src, uint256 len) private pure {
        // Copy word-length chunks while possible
        for (; len >= 32; len -= 32) {
            assembly {
                mstore(dest, mload(src))
            }
            dest += 32;
            src += 32;
        }

        // Copy remaining bytes
        uint256 mask = 256 ** (32 - len) - 1;
        assembly {
            let srcpart := and(mload(src), not(mask))
            let destpart := and(mload(dest), mask)
            mstore(dest, or(destpart, srcpart))
        }
    }

    /*
    * @dev Returns a slice containing the entire string.
    * @param self The string to make a slice from.
    * @return A newly allocated slice containing the entire string.
    */
    function toSlice(string memory self) internal pure returns (slice memory) {
        uint256 ptr;
        assembly {
            ptr := add(self, 0x20)
        }
        return slice(bytes(self).length, ptr);
    }

    /*
    * @dev Copies a slice to a new string.
    * @param self The slice to copy.
    * @return A newly allocated string containing the slice's text.
    */
    function toString(slice memory self) internal pure returns (string memory) {
        string memory ret = new string(self._len);
        uint256 retptr;
        assembly {
            retptr := add(ret, 32)
        }

        memcpy(retptr, self._ptr, self._len);
        return ret;
    }

    // Returns the memory address of the first byte of the first occurrence of
    // `needle` in `self`, or the first byte after `self` if not found.
    function findPtr(uint256 selflen, uint256 selfptr, uint256 needlelen, uint256 needleptr)
        private
        pure
        returns (uint256)
    {
        uint256 ptr = selfptr;
        uint256 idx;

        if (needlelen <= selflen) {
            if (needlelen <= 32) {
                bytes32 mask = bytes32(~(2 ** (8 * (32 - needlelen)) - 1));

                bytes32 needledata;
                assembly {
                    needledata := and(mload(needleptr), mask)
                }

                uint256 end = selfptr + selflen - needlelen;
                bytes32 ptrdata;
                assembly {
                    ptrdata := and(mload(ptr), mask)
                }

                while (ptrdata != needledata) {
                    if (ptr >= end) {
                        return selfptr + selflen;
                    }
                    ptr++;
                    assembly {
                        ptrdata := and(mload(ptr), mask)
                    }
                }
                return ptr;
            } else {
                // For long needles, use hashing
                bytes32 hash;
                assembly {
                    hash := keccak256(needleptr, needlelen)
                }

                for (idx = 0; idx <= selflen - needlelen; idx++) {
                    bytes32 testHash;
                    assembly {
                        testHash := keccak256(ptr, needlelen)
                    }
                    if (hash == testHash) {
                        return ptr;
                    }
                    ptr += 1;
                }
            }
        }
        return selfptr + selflen;
    }

    /*
    * @dev Splits the slice, setting `self` to everything after the first
    *      occurrence of `needle`, and `token` to everything before it. If
    *      `needle` does not occur in `self`, `self` is set to the empty slice,
    *      and `token` is set to the entirety of `self`.
    * @param self The slice to split.
    * @param needle The text to search for in `self`.
    * @param token An output parameter to which the first token is written.
    * @return `token`.
    */
    function split(slice memory self, slice memory needle, slice memory token) internal pure returns (slice memory) {
        uint256 ptr = findPtr(self._len, self._ptr, needle._len, needle._ptr);
        token._ptr = self._ptr;
        token._len = ptr - self._ptr;
        if (ptr == self._ptr + self._len) {
            // Not found
            self._len = 0;
        } else {
            self._len -= token._len + needle._len;
            self._ptr = ptr + needle._len;
        }
        return token;
    }

    /*
    * @dev Splits the slice, setting `self` to everything after the first
    *      occurrence of `needle`, and returning everything before it. If
    *      `needle` does not occur in `self`, `self` is set to the empty slice,
    *      and the entirety of `self` is returned.
    * @param self The slice to split.
    * @param needle The text to search for in `self`.
    * @return The part of `self` up to the first occurrence of `delim`.
    */
    function split(slice memory self, slice memory needle) internal pure returns (slice memory token) {
        split(self, needle, token);
    }
}

// SPDX-License-Identifier: MIT
pragma solidity 0.8.20;

/// @title Base64
/// @notice Provides a function for encoding some bytes in base64
/// @author Brecht Devos <[email protected]>
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);
    }
}

// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts v4.4.1 (utils/introspection/ERC165.sol)

pragma solidity ^0.8.0;

import "./IERC165.sol";

/**
 * @dev Implementation of the {IERC165} interface.
 *
 * Contracts that want to implement ERC165 should inherit from this contract and override {supportsInterface} to check
 * for the additional interface id that will be supported. For example:
 *
 * ```solidity
 * function supportsInterface(bytes4 interfaceId) public view virtual override returns (bool) {
 *     return interfaceId == type(MyInterface).interfaceId || super.supportsInterface(interfaceId);
 * }
 * ```
 *
 * Alternatively, {ERC165Storage} provides an easier to use but more expensive implementation.
 */
abstract contract ERC165 is IERC165 {
    /**
     * @dev See {IERC165-supportsInterface}.
     */
    function supportsInterface(bytes4 interfaceId) public view virtual override returns (bool) {
        return interfaceId == type(IERC165).interfaceId;
    }
}

// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts v4.4.1 (utils/introspection/IERC165.sol)

pragma solidity ^0.8.0;

/**
 * @dev Interface of the ERC165 standard, as defined in the
 * https://eips.ethereum.org/EIPS/eip-165[EIP].
 *
 * Implementers can declare support of contract interfaces, which can then be
 * queried by others ({ERC165Checker}).
 *
 * For an implementation, see {ERC165}.
 */
interface IERC165 {
    /**
     * @dev Returns true if this contract implements the interface defined by
     * `interfaceId`. See the corresponding
     * https://eips.ethereum.org/EIPS/eip-165#how-interfaces-are-identified[EIP section]
     * to learn more about how these ids are created.
     *
     * This function call must use less than 30 000 gas.
     */
    function supportsInterface(bytes4 interfaceId) external view returns (bool);
}

// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts (last updated v4.9.0) (utils/math/Math.sol)

pragma solidity ^0.8.0;

/**
 * @dev Standard math utilities missing in the Solidity language.
 */
library Math {
    enum Rounding {
        Down, // Toward negative infinity
        Up, // Toward infinity
        Zero // Toward zero
    }

    /**
     * @dev Returns the largest of two numbers.
     */
    function max(uint256 a, uint256 b) internal pure returns (uint256) {
        return a > b ? a : b;
    }

    /**
     * @dev Returns the smallest of two numbers.
     */
    function min(uint256 a, uint256 b) internal pure returns (uint256) {
        return a < b ? a : b;
    }

    /**
     * @dev Returns the average of two numbers. The result is rounded towards
     * zero.
     */
    function average(uint256 a, uint256 b) internal pure returns (uint256) {
        // (a + b) / 2 can overflow.
        return (a & b) + (a ^ b) / 2;
    }

    /**
     * @dev Returns the ceiling of the division of two numbers.
     *
     * This differs from standard division with `/` in that it rounds up instead
     * of rounding down.
     */
    function ceilDiv(uint256 a, uint256 b) internal pure returns (uint256) {
        // (a + b - 1) / b can overflow on addition, so we distribute.
        return a == 0 ? 0 : (a - 1) / b + 1;
    }

    /**
     * @notice Calculates floor(x * y / denominator) with full precision. Throws if result overflows a uint256 or denominator == 0
     * @dev Original credit to Remco Bloemen under MIT license (https://xn--2-umb.com/21/muldiv)
     * with further edits by Uniswap Labs also under MIT license.
     */
    function mulDiv(uint256 x, uint256 y, uint256 denominator) internal pure returns (uint256 result) {
        unchecked {
            // 512-bit multiply [prod1 prod0] = x * y. Compute the product mod 2^256 and mod 2^256 - 1, then use
            // use the Chinese Remainder Theorem to reconstruct the 512 bit result. The result is stored in two 256
            // variables such that product = prod1 * 2^256 + prod0.
            uint256 prod0; // Least significant 256 bits of the product
            uint256 prod1; // Most significant 256 bits of the product
            assembly {
                let mm := mulmod(x, y, not(0))
                prod0 := mul(x, y)
                prod1 := sub(sub(mm, prod0), lt(mm, prod0))
            }

            // Handle non-overflow cases, 256 by 256 division.
            if (prod1 == 0) {
                // Solidity will revert if denominator == 0, unlike the div opcode on its own.
                // The surrounding unchecked block does not change this fact.
                // See https://docs.soliditylang.org/en/latest/control-structures.html#checked-or-unchecked-arithmetic.
                return prod0 / denominator;
            }

            // Make sure the result is less than 2^256. Also prevents denominator == 0.
            require(denominator > prod1, "Math: mulDiv overflow");

            ///////////////////////////////////////////////
            // 512 by 256 division.
            ///////////////////////////////////////////////

            // Make division exact by subtracting the remainder from [prod1 prod0].
            uint256 remainder;
            assembly {
                // Compute remainder using mulmod.
                remainder := mulmod(x, y, denominator)

                // Subtract 256 bit number from 512 bit number.
                prod1 := sub(prod1, gt(remainder, prod0))
                prod0 := sub(prod0, remainder)
            }

            // Factor powers of two out of denominator and compute largest power of two divisor of denominator. Always >= 1.
            // See https://cs.stackexchange.com/q/138556/92363.

            // Does not overflow because the denominator cannot be zero at this stage in the function.
            uint256 twos = denominator & (~denominator + 1);
            assembly {
                // Divide denominator by twos.
                denominator := div(denominator, twos)

                // Divide [prod1 prod0] by twos.
                prod0 := div(prod0, twos)

                // Flip twos such that it is 2^256 / twos. If twos is zero, then it becomes one.
                twos := add(div(sub(0, twos), twos), 1)
            }

            // Shift in bits from prod1 into prod0.
            prod0 |= prod1 * twos;

            // Invert denominator mod 2^256. Now that denominator is an odd number, it has an inverse modulo 2^256 such
            // that denominator * inv = 1 mod 2^256. Compute the inverse by starting with a seed that is correct for
            // four bits. That is, denominator * inv = 1 mod 2^4.
            uint256 inverse = (3 * denominator) ^ 2;

            // Use the Newton-Raphson iteration to improve the precision. Thanks to Hensel's lifting lemma, this also works
            // in modular arithmetic, doubling the correct bits in each step.
            inverse *= 2 - denominator * inverse; // inverse mod 2^8
            inverse *= 2 - denominator * inverse; // inverse mod 2^16
            inverse *= 2 - denominator * inverse; // inverse mod 2^32
            inverse *= 2 - denominator * inverse; // inverse mod 2^64
            inverse *= 2 - denominator * inverse; // inverse mod 2^128
            inverse *= 2 - denominator * inverse; // inverse mod 2^256

            // Because the division is now exact we can divide by multiplying with the modular inverse of denominator.
            // This will give us the correct result modulo 2^256. Since the preconditions guarantee that the outcome is
            // less than 2^256, this is the final result. We don't need to compute the high bits of the result and prod1
            // is no longer required.
            result = prod0 * inverse;
            return result;
        }
    }

    /**
     * @notice Calculates x * y / denominator with full precision, following the selected rounding direction.
     */
    function mulDiv(uint256 x, uint256 y, uint256 denominator, Rounding rounding) internal pure returns (uint256) {
        uint256 result = mulDiv(x, y, denominator);
        if (rounding == Rounding.Up && mulmod(x, y, denominator) > 0) {
            result += 1;
        }
        return result;
    }

    /**
     * @dev Returns the square root of a number. If the number is not a perfect square, the value is rounded down.
     *
     * Inspired by Henry S. Warren, Jr.'s "Hacker's Delight" (Chapter 11).
     */
    function sqrt(uint256 a) internal pure returns (uint256) {
        if (a == 0) {
            return 0;
        }

        // For our first guess, we get the biggest power of 2 which is smaller than the square root of the target.
        //
        // We know that the "msb" (most significant bit) of our target number `a` is a power of 2 such that we have
        // `msb(a) <= a < 2*msb(a)`. This value can be written `msb(a)=2**k` with `k=log2(a)`.
        //
        // This can be rewritten `2**log2(a) <= a < 2**(log2(a) + 1)`
        // → `sqrt(2**k) <= sqrt(a) < sqrt(2**(k+1))`
        // → `2**(k/2) <= sqrt(a) < 2**((k+1)/2) <= 2**(k/2 + 1)`
        //
        // Consequently, `2**(log2(a) / 2)` is a good first approximation of `sqrt(a)` with at least 1 correct bit.
        uint256 result = 1 << (log2(a) >> 1);

        // At this point `result` is an estimation with one bit of precision. We know the true value is a uint128,
        // since it is the square root of a uint256. Newton's method converges quadratically (precision doubles at
        // every iteration). We thus need at most 7 iteration to turn our partial result with one bit of precision
        // into the expected uint128 result.
        unchecked {
            result = (result + a / result) >> 1;
            result = (result + a / result) >> 1;
            result = (result + a / result) >> 1;
            result = (result + a / result) >> 1;
            result = (result + a / result) >> 1;
            result = (result + a / result) >> 1;
            result = (result + a / result) >> 1;
            return min(result, a / result);
        }
    }

    /**
     * @notice Calculates sqrt(a), following the selected rounding direction.
     */
    function sqrt(uint256 a, Rounding rounding) internal pure returns (uint256) {
        unchecked {
            uint256 result = sqrt(a);
            return result + (rounding == Rounding.Up && result * result < a ? 1 : 0);
        }
    }

    /**
     * @dev Return the log in base 2, rounded down, of a positive value.
     * Returns 0 if given 0.
     */
    function log2(uint256 value) internal pure returns (uint256) {
        uint256 result = 0;
        unchecked {
            if (value >> 128 > 0) {
                value >>= 128;
                result += 128;
            }
            if (value >> 64 > 0) {
                value >>= 64;
                result += 64;
            }
            if (value >> 32 > 0) {
                value >>= 32;
                result += 32;
            }
            if (value >> 16 > 0) {
                value >>= 16;
                result += 16;
            }
            if (value >> 8 > 0) {
                value >>= 8;
                result += 8;
            }
            if (value >> 4 > 0) {
                value >>= 4;
                result += 4;
            }
            if (value >> 2 > 0) {
                value >>= 2;
                result += 2;
            }
            if (value >> 1 > 0) {
                result += 1;
            }
        }
        return result;
    }

    /**
     * @dev Return the log in base 2, following the selected rounding direction, of a positive value.
     * Returns 0 if given 0.
     */
    function log2(uint256 value, Rounding rounding) internal pure returns (uint256) {
        unchecked {
            uint256 result = log2(value);
            return result + (rounding == Rounding.Up && 1 << result < value ? 1 : 0);
        }
    }

    /**
     * @dev Return the log in base 10, rounded down, of a positive value.
     * Returns 0 if given 0.
     */
    function log10(uint256 value) internal pure returns (uint256) {
        uint256 result = 0;
        unchecked {
            if (value >= 10 ** 64) {
                value /= 10 ** 64;
                result += 64;
            }
            if (value >= 10 ** 32) {
                value /= 10 ** 32;
                result += 32;
            }
            if (value >= 10 ** 16) {
                value /= 10 ** 16;
                result += 16;
            }
            if (value >= 10 ** 8) {
                value /= 10 ** 8;
                result += 8;
            }
            if (value >= 10 ** 4) {
                value /= 10 ** 4;
                result += 4;
            }
            if (value >= 10 ** 2) {
                value /= 10 ** 2;
                result += 2;
            }
            if (value >= 10 ** 1) {
                result += 1;
            }
        }
        return result;
    }

    /**
     * @dev Return the log in base 10, following the selected rounding direction, of a positive value.
     * Returns 0 if given 0.
     */
    function log10(uint256 value, Rounding rounding) internal pure returns (uint256) {
        unchecked {
            uint256 result = log10(value);
            return result + (rounding == Rounding.Up && 10 ** result < value ? 1 : 0);
        }
    }

    /**
     * @dev Return the log in base 256, rounded down, of a positive value.
     * Returns 0 if given 0.
     *
     * Adding one to the result gives the number of pairs of hex symbols needed to represent `value` as a hex string.
     */
    function log256(uint256 value) internal pure returns (uint256) {
        uint256 result = 0;
        unchecked {
            if (value >> 128 > 0) {
                value >>= 128;
                result += 16;
            }
            if (value >> 64 > 0) {
                value >>= 64;
                result += 8;
            }
            if (value >> 32 > 0) {
                value >>= 32;
                result += 4;
            }
            if (value >> 16 > 0) {
                value >>= 16;
                result += 2;
            }
            if (value >> 8 > 0) {
                result += 1;
            }
        }
        return result;
    }

    /**
     * @dev Return the log in base 256, following the selected rounding direction, of a positive value.
     * Returns 0 if given 0.
     */
    function log256(uint256 value, Rounding rounding) internal pure returns (uint256) {
        unchecked {
            uint256 result = log256(value);
            return result + (rounding == Rounding.Up && 1 << (result << 3) < value ? 1 : 0);
        }
    }
}

// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts (last updated v4.8.0) (utils/math/SignedMath.sol)

pragma solidity ^0.8.0;

/**
 * @dev Standard signed math utilities missing in the Solidity language.
 */
library SignedMath {
    /**
     * @dev Returns the largest of two signed numbers.
     */
    function max(int256 a, int256 b) internal pure returns (int256) {
        return a > b ? a : b;
    }

    /**
     * @dev Returns the smallest of two signed numbers.
     */
    function min(int256 a, int256 b) internal pure returns (int256) {
        return a < b ? a : b;
    }

    /**
     * @dev Returns the average of two signed numbers without overflow.
     * The result is rounded towards zero.
     */
    function average(int256 a, int256 b) internal pure returns (int256) {
        // Formula from the book "Hacker's Delight"
        int256 x = (a & b) + ((a ^ b) >> 1);
        return x + (int256(uint256(x) >> 255) & (a ^ b));
    }

    /**
     * @dev Returns the absolute unsigned value of a signed value.
     */
    function abs(int256 n) internal pure returns (uint256) {
        unchecked {
            // must be unchecked in order to support `n = type(int256).min`
            return uint256(n >= 0 ? n : -n);
        }
    }
}

// SPDX-License-Identifier: AGPL-3.0
pragma solidity ^0.8.0;

contract CurveErrorCodes {
    enum Error {
        OK, // No error
        INVALID_NUMITEMS, // The numItem value is 0
        SPOT_PRICE_OVERFLOW, // The updated spot price doesn't fit into 128 bits
        DELTA_OVERFLOW, // The updated delta doesn't fit into 128 bits
        SPOT_PRICE_UNDERFLOW, // The updated spot price goes too low
        AUCTION_ENDED // The auction has ended
    }
}

// SPDX-License-Identifier: MIT

pragma solidity ^0.8.0;

/// @author: manifold.xyz

import "@openzeppelin/contracts/utils/introspection/IERC165.sol";

/**
 * @dev Lookup engine interface
 */
interface IRoyaltyEngineV1 is IERC165 {
    /**
     * Get the royalty for a given token (address, id) and value amount.  Does not cache the bps/amounts.  Caches the spec for a given token address
     *
     * @param tokenAddress - The address of the token
     * @param tokenId      - The id of the token
     * @param value        - The value you wish to get the royalty of
     *
     * returns Two arrays of equal length, royalty recipients and the corresponding amount each recipient should get
     */
    function getRoyalty(address tokenAddress, uint256 tokenId, uint256 value)
        external
        returns (address payable[] memory recipients, uint256[] memory amounts);

    /**
     * View only version of getRoyalty
     *
     * @param tokenAddress - The address of the token
     * @param tokenId      - The id of the token
     * @param value        - The value you wish to get the royalty of
     *
     * returns Two arrays of equal length, royalty recipients and the corresponding amount each recipient should get
     */
    function getRoyaltyView(address tokenAddress, uint256 tokenId, uint256 value)
        external
        view
        returns (address payable[] memory recipients, uint256[] memory amounts);
}

// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts (last updated v4.8.0) (utils/Address.sol)

pragma solidity ^0.8.1;

/**
 * @dev Collection of functions related to the address type
 */
library Address {
    /**
     * @dev Returns true if `account` is a contract.
     *
     * [IMPORTANT]
     * ====
     * It is unsafe to assume that an address for which this function returns
     * false is an externally-owned account (EOA) and not a contract.
     *
     * Among others, `isContract` will return false for the following
     * types of addresses:
     *
     *  - an externally-owned account
     *  - a contract in construction
     *  - an address where a contract will be created
     *  - an address where a contract lived, but was destroyed
     * ====
     *
     * [IMPORTANT]
     * ====
     * You shouldn't rely on `isContract` to protect against flash loan attacks!
     *
     * Preventing calls from contracts is highly discouraged. It breaks composability, breaks support for smart wallets
     * like Gnosis Safe, and does not provide security since it can be circumvented by calling from a contract
     * constructor.
     * ====
     */
    function isContract(address account) internal view returns (bool) {
        // This method relies on extcodesize/address.code.length, which returns 0
        // for contracts in construction, since the code is only stored at the end
        // of the constructor execution.

        return account.code.length > 0;
    }

    /**
     * @dev Replacement for Solidity's `transfer`: sends `amount` wei to
     * `recipient`, forwarding all available gas and reverting on errors.
     *
     * https://eips.ethereum.org/EIPS/eip-1884[EIP1884] increases the gas cost
     * of certain opcodes, possibly making contracts go over the 2300 gas limit
     * imposed by `transfer`, making them unable to receive funds via
     * `transfer`. {sendValue} removes this limitation.
     *
     * https://consensys.net/diligence/blog/2019/09/stop-using-soliditys-transfer-now/[Learn more].
     *
     * IMPORTANT: because control is transferred to `recipient`, care must be
     * taken to not create reentrancy vulnerabilities. Consider using
     * {ReentrancyGuard} or the
     * https://solidity.readthedocs.io/en/v0.5.11/security-considerations.html#use-the-checks-effects-interactions-pattern[checks-effects-interactions pattern].
     */
    function sendValue(address payable recipient, uint256 amount) internal {
        require(address(this).balance >= amount, "Address: insufficient balance");

        (bool success, ) = recipient.call{value: amount}("");
        require(success, "Address: unable to send value, recipient may have reverted");
    }

    /**
     * @dev Performs a Solidity function call using a low level `call`. A
     * plain `call` is an unsafe replacement for a function call: use this
     * function instead.
     *
     * If `target` reverts with a revert reason, it is bubbled up by this
     * function (like regular Solidity function calls).
     *
     * Returns the raw returned data. To convert to the expected return value,
     * use https://solidity.readthedocs.io/en/latest/units-and-global-variables.html?highlight=abi.decode#abi-encoding-and-decoding-functions[`abi.decode`].
     *
     * Requirements:
     *
     * - `target` must be a contract.
     * - calling `target` with `data` must not revert.
     *
     * _Available since v3.1._
     */
    function functionCall(address target, bytes memory data) internal returns (bytes memory) {
        return functionCallWithValue(target, data, 0, "Address: low-level call failed");
    }

    /**
     * @dev Same as {xref-Address-functionCall-address-bytes-}[`functionCall`], but with
     * `errorMessage` as a fallback revert reason when `target` reverts.
     *
     * _Available since v3.1._
     */
    function functionCall(
        address target,
        bytes memory data,
        string memory errorMessage
    ) internal returns (bytes memory) {
        return functionCallWithValue(target, data, 0, errorMessage);
    }

    /**
     * @dev Same as {xref-Address-functionCall-address-bytes-}[`functionCall`],
     * but also transferring `value` wei to `target`.
     *
     * Requirements:
     *
     * - the calling contract must have an ETH balance of at least `value`.
     * - the called Solidity function must be `payable`.
     *
     * _Available since v3.1._
     */
    function functionCallWithValue(
        address target,
        bytes memory data,
        uint256 value
    ) internal returns (bytes memory) {
        return functionCallWithValue(target, data, value, "Address: low-level call with value failed");
    }

    /**
     * @dev Same as {xref-Address-functionCallWithValue-address-bytes-uint256-}[`functionCallWithValue`], but
     * with `errorMessage` as a fallback revert reason when `target` reverts.
     *
     * _Available since v3.1._
     */
    function functionCallWithValue(
        address target,
        bytes memory data,
        uint256 value,
        string memory errorMessage
    ) internal returns (bytes memory) {
        require(address(this).balance >= value, "Address: insufficient balance for call");
        (bool success, bytes memory returndata) = target.call{value: value}(data);
        return verifyCallResultFromTarget(target, success, returndata, errorMessage);
    }

    /**
     * @dev Same as {xref-Address-functionCall-address-bytes-}[`functionCall`],
     * but performing a static call.
     *
     * _Available since v3.3._
     */
    function functionStaticCall(address target, bytes memory data) internal view returns (bytes memory) {
        return functionStaticCall(target, data, "Address: low-level static call failed");
    }

    /**
     * @dev Same as {xref-Address-functionCall-address-bytes-string-}[`functionCall`],
     * but performing a static call.
     *
     * _Available since v3.3._
     */
    function functionStaticCall(
        address target,
        bytes memory data,
        string memory errorMessage
    ) internal view returns (bytes memory) {
        (bool success, bytes memory returndata) = target.staticcall(data);
        return verifyCallResultFromTarget(target, success, returndata, errorMessage);
    }

    /**
     * @dev Same as {xref-Address-functionCall-address-bytes-}[`functionCall`],
     * but performing a delegate call.
     *
     * _Available since v3.4._
     */
    function functionDelegateCall(address target, bytes memory data) internal returns (bytes memory) {
        return functionDelegateCall(target, data, "Address: low-level delegate call failed");
    }

    /**
     * @dev Same as {xref-Address-functionCall-address-bytes-string-}[`functionCall`],
     * but performing a delegate call.
     *
     * _Available since v3.4._
     */
    function functionDelegateCall(
        address target,
        bytes memory data,
        string memory errorMessage
    ) internal returns (bytes memory) {
        (bool success, bytes memory returndata) = target.delegatecall(data);
        return verifyCallResultFromTarget(target, success, returndata, errorMessage);
    }

    /**
     * @dev Tool to verify that a low level call to smart-contract was successful, and revert (either by bubbling
     * the revert reason or using the provided one) in case of unsuccessful call or if target was not a contract.
     *
     * _Available since v4.8._
     */
    function verifyCallResultFromTarget(
        address target,
        bool success,
        bytes memory returndata,
        string memory errorMessage
    ) internal view returns (bytes memory) {
        if (success) {
            if (returndata.length == 0) {
                // only check isContract if the call was successful and the return data is empty
                // otherwise we already know that it was a contract
                require(isContract(target), "Address: call to non-contract");
            }
            return returndata;
        } else {
            _revert(returndata, errorMessage);
        }
    }

    /**
     * @dev Tool to verify that a low level call was successful, and revert if it wasn't, either by bubbling the
     * revert reason or using the provided one.
     *
     * _Available since v4.3._
     */
    function verifyCallResult(
        bool success,
        bytes memory returndata,
        string memory errorMessage
    ) internal pure returns (bytes memory) {
        if (success) {
            return returndata;
        } else {
            _revert(returndata, errorMessage);
        }
    }

    function _revert(bytes memory returndata, string memory errorMessage) private pure {
        // Look for revert reason and bubble it up if present
        if (returndata.length > 0) {
            // The easiest way to bubble the revert reason is using memory via assembly
            /// @solidity memory-safe-assembly
            assembly {
                let returndata_size := mload(returndata)
                revert(add(32, returndata), returndata_size)
            }
        } else {
            revert(errorMessage);
        }
    }
}

// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts (last updated v4.8.0) (token/ERC721/IERC721.sol)

pragma solidity ^0.8.0;

import "../../utils/introspection/IERC165.sol";

/**
 * @dev Required interface of an ERC721 compliant contract.
 */
interface IERC721 is IERC165 {
    /**
     * @dev Emitted when `tokenId` token is transferred from `from` to `to`.
     */
    event Transfer(address indexed from, address indexed to, uint256 indexed tokenId);

    /**
     * @dev Emitted when `owner` enables `approved` to manage the `tokenId` token.
     */
    event Approval(address indexed owner, address indexed approved, uint256 indexed tokenId);

    /**
     * @dev Emitted when `owner` enables or disables (`approved`) `operator` to manage all of its assets.
     */
    event ApprovalForAll(address indexed owner, address indexed operator, bool approved);

    /**
     * @dev Returns the number of tokens in ``owner``'s account.
     */
    function balanceOf(address owner) external view returns (uint256 balance);

    /**
     * @dev Returns the owner of the `tokenId` token.
     *
     * Requirements:
     *
     * - `tokenId` must exist.
     */
    function ownerOf(uint256 tokenId) external view returns (address owner);

    /**
     * @dev Safely transfers `tokenId` token from `from` to `to`.
     *
     * Requirements:
     *
     * - `from` cannot be the zero address.
     * - `to` cannot be the zero address.
     * - `tokenId` token must exist and be owned by `from`.
     * - If the caller is not `from`, it must be approved to move this token by either {approve} or {setApprovalForAll}.
     * - If `to` refers to a smart contract, it must implement {IERC721Receiver-onERC721Received}, which is called upon a safe transfer.
     *
     * Emits a {Transfer} event.
     */
    function safeTransferFrom(
        address from,
        address to,
        uint256 tokenId,
        bytes calldata data
    ) external;

    /**
     * @dev Safely transfers `tokenId` token from `from` to `to`, checking first that contract recipients
     * are aware of the ERC721 protocol to prevent tokens from being forever locked.
     *
     * Requirements:
     *
     * - `from` cannot be the zero address.
     * - `to` cannot be the zero address.
     * - `tokenId` token must exist and be owned by `from`.
     * - If the caller is not `from`, it must have been allowed to move this token by either {approve} or {setApprovalForAll}.
     * - If `to` refers to a smart contract, it must implement {IERC721Receiver-onERC721Received}, which is called upon a safe transfer.
     *
     * Emits a {Transfer} event.
     */
    function safeTransferFrom(
        address from,
        address to,
        uint256 tokenId
    ) external;

    /**
     * @dev Transfers `tokenId` token from `from` to `to`.
     *
     * WARNING: Note that the caller is responsible to confirm that the recipient is capable of receiving ERC721
     * or else they may be permanently lost. Usage of {safeTransferFrom} prevents loss, though the caller must
     * understand this adds an external call which potentially creates a reentrancy vulnerability.
     *
     * Requirements:
     *
     * - `from` cannot be the zero address.
     * - `to` cannot be the zero address.
     * - `tokenId` token must be owned by `from`.
     * - If the caller is not `from`, it must be approved to move this token by either {approve} or {setApprovalForAll}.
     *
     * Emits a {Transfer} event.
     */
    function transferFrom(
        address from,
        address to,
        uint256 tokenId
    ) external;

    /**
     * @dev Gives permission to `to` to transfer `tokenId` token to another account.
     * The approval is cleared when the token is transferred.
     *
     * Only a single account can be approved at a time, so approving the zero address clears previous approvals.
     *
     * Requirements:
     *
     * - The caller must own the token or be an approved operator.
     * - `tokenId` must exist.
     *
     * Emits an {Approval} event.
     */
    function approve(address to, uint256 tokenId) external;

    /**
     * @dev Approve or remove `operator` as an operator for the caller.
     * Operators can call {transferFrom} or {safeTransferFrom} for any token owned by the caller.
     *
     * Requirements:
     *
     * - The `operator` cannot be the caller.
     *
     * Emits an {ApprovalForAll} event.
     */
    function setApprovalForAll(address operator, bool _approved) external;

    /**
     * @dev Returns the account approved for `tokenId` token.
     *
     * Requirements:
     *
     * - `tokenId` must exist.
     */
    function getApproved(uint256 tokenId) external view returns (address operator);

    /**
     * @dev Returns if the `operator` is allowed to manage all of the assets of `owner`.
     *
     * See {setApprovalForAll}
     */
    function isApprovedForAll(address owner, address operator) external view returns (bool);
}

// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts (last updated v4.7.0) (token/ERC1155/IERC1155.sol)

pragma solidity ^0.8.0;

import "../../utils/introspection/IERC165.sol";

/**
 * @dev Required interface of an ERC1155 compliant contract, as defined in the
 * https://eips.ethereum.org/EIPS/eip-1155[EIP].
 *
 * _Available since v3.1._
 */
interface IERC1155 is IERC165 {
    /**
     * @dev Emitted when `value` tokens of token type `id` are transferred from `from` to `to` by `operator`.
     */
    event TransferSingle(address indexed operator, address indexed from, address indexed to, uint256 id, uint256 value);

    /**
     * @dev Equivalent to multiple {TransferSingle} events, where `operator`, `from` and `to` are the same for all
     * transfers.
     */
    event TransferBatch(
        address indexed operator,
        address indexed from,
        address indexed to,
        uint256[] ids,
        uint256[] values
    );

    /**
     * @dev Emitted when `account` grants or revokes permission to `operator` to transfer their tokens, according to
     * `approved`.
     */
    event ApprovalForAll(address indexed account, address indexed operator, bool approved);

    /**
     * @dev Emitted when the URI for token type `id` changes to `value`, if it is a non-programmatic URI.
     *
     * If an {URI} event was emitted for `id`, the standard
     * https://eips.ethereum.org/EIPS/eip-1155#metadata-extensions[guarantees] that `value` will equal the value
     * returned by {IERC1155MetadataURI-uri}.
     */
    event URI(string value, uint256 indexed id);

    /**
     * @dev Returns the amount of tokens of token type `id` owned by `account`.
     *
     * Requirements:
     *
     * - `account` cannot be the zero address.
     */
    function balanceOf(address account, uint256 id) external view returns (uint256);

    /**
     * @dev xref:ROOT:erc1155.adoc#batch-operations[Batched] version of {balanceOf}.
     *
     * Requirements:
     *
     * - `accounts` and `ids` must have the same length.
     */
    function balanceOfBatch(address[] calldata accounts, uint256[] calldata ids)
        external
        view
        returns (uint256[] memory);

    /**
     * @dev Grants or revokes permission to `operator` to transfer the caller's tokens, according to `approved`,
     *
     * Emits an {ApprovalForAll} event.
     *
     * Requirements:
     *
     * - `operator` cannot be the caller.
     */
    function setApprovalForAll(address operator, bool approved) external;

    /**
     * @dev Returns true if `operator` is approved to transfer ``account``'s tokens.
     *
     * See {setApprovalForAll}.
     */
    function isApprovedForAll(address account, address operator) external view returns (bool);

    /**
     * @dev Transfers `amount` tokens of token type `id` from `from` to `to`.
     *
     * Emits a {TransferSingle} event.
     *
     * Requirements:
     *
     * - `to` cannot be the zero address.
     * - If the caller is not `from`, it must have been approved to spend ``from``'s tokens via {setApprovalForAll}.
     * - `from` must have a balance of tokens of type `id` of at least `amount`.
     * - If `to` refers to a smart contract, it must implement {IERC1155Receiver-onERC1155Received} and return the
     * acceptance magic value.
     */
    function safeTransferFrom(
        address from,
        address to,
        uint256 id,
        uint256 amount,
        bytes calldata data
    ) external;

    /**
     * @dev xref:ROOT:erc1155.adoc#batch-operations[Batched] version of {safeTransferFrom}.
     *
     * Emits a {TransferBatch} event.
     *
     * Requirements:
     *
     * - `ids` and `amounts` must have the same length.
     * - If `to` refers to a smart contract, it must implement {IERC1155Receiver-onERC1155BatchReceived} and return the
     * acceptance magic value.
     */
    function safeBatchTransferFrom(
        address from,
        address to,
        uint256[] calldata ids,
        uint256[] calldata amounts,
        bytes calldata data
    ) external;
}

// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts v4.4.1 (token/ERC721/utils/ERC721Holder.sol)

pragma solidity ^0.8.0;

import "../IERC721Receiver.sol";

/**
 * @dev Implementation of the {IERC721Receiver} interface.
 *
 * Accepts all token transfers.
 * Make sure the contract is able to use its token with {IERC721-safeTransferFrom}, {IERC721-approve} or {IERC721-setApprovalForAll}.
 */
contract ERC721Holder is IERC721Receiver {
    /**
     * @dev See {IERC721Receiver-onERC721Received}.
     *
     * Always returns `IERC721Receiver.onERC721Received.selector`.
     */
    function onERC721Received(
        address,
        address,
        uint256,
        bytes memory
    ) public virtual override returns (bytes4) {
        return this.onERC721Received.selector;
    }
}

// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts (last updated v4.5.0) (token/ERC1155/utils/ERC1155Holder.sol)

pragma solidity ^0.8.0;

import "./ERC1155Receiver.sol";

/**
 * Simple implementation of `ERC1155Receiver` that will allow a contract to hold ERC1155 tokens.
 *
 * IMPORTANT: When inheriting this contract, you must include a way to use the received tokens, otherwise they will be
 * stuck.
 *
 * @dev _Available since v3.1._
 */
contract ERC1155Holder is ERC1155Receiver {
    function onERC1155Received(
        address,
        address,
        uint256,
        uint256,
        bytes memory
    ) public virtual override returns (bytes4) {
        return this.onERC1155Received.selector;
    }

    function onERC1155BatchReceived(
        address,
        address,
        uint256[] memory,
        uint256[] memory,
        bytes memory
    ) public virtual override returns (bytes4) {
        return this.onERC1155BatchReceived.selector;
    }
}

// SPDX-License-Identifier: AGPL-3.0
pragma solidity ^0.8.0;

import {ERC20} from "solmate/tokens/ERC20.sol";
import {SafeTransferLib} from "solmate/utils/SafeTransferLib.sol";

import {IERC721} from "@openzeppelin/contracts/token/ERC721/IERC721.sol";
import {IERC1155} from "@openzeppelin/contracts/token/ERC1155/IERC1155.sol";

import {LSSVMPair} from "./LSSVMPair.sol";
import {ILSSVMPairFactoryLike} from "./ILSSVMPairFactoryLike.sol";
import {CurveErrorCodes} from "./bonding-curves/CurveErrorCodes.sol";

contract LSSVMRouter {
    using SafeTransferLib for address payable;
    using SafeTransferLib for ERC20;

    struct PairSwapSpecific {
        LSSVMPair pair;
        uint256[] nftIds;
    }

    struct RobustPairSwapSpecific {
        PairSwapSpecific swapInfo;
        uint256 maxCost;
    }

    struct RobustPairSwapSpecificForToken {
        PairSwapSpecific swapInfo;
        uint256 minOutput;
    }

    struct NFTsForSpecificNFTsTrade {
        PairSwapSpecific[] nftToTokenTrades;
        PairSwapSpecific[] tokenToNFTTrades;
    }

    struct RobustPairNFTsFoTokenAndTokenforNFTsTrade {
        RobustPairSwapSpecific[] tokenToNFTTrades;
        RobustPairSwapSpecificForToken[] nftToTokenTrades;
        uint256 inputAmount;
        address payable tokenRecipient;
        address nftRecipient;
    }

    modifier checkDeadline(uint256 deadline) {
        _checkDeadline(deadline);
        _;
    }

    ILSSVMPairFactoryLike public immutable factory;

    constructor(ILSSVMPairFactoryLike _factory) {
        factory = _factory;
    }

    /**
     * ETH swaps
     */

    /**
     * @notice Swaps ETH into specific NFTs using multiple pairs.
     * @param swapList The list of pairs to trade with and the IDs of the NFTs to buy from each.
     * @param ethRecipient The address that will receive the unspent ETH input
     * @param nftRecipient The address that will receive the NFT output
     * @param deadline The Unix timestamp (in seconds) at/after which the swap will revert
     * @return remainingValue The unspent ETH amount
     */
    function swapETHForSpecificNFTs(
        PairSwapSpecific[] calldata swapList,
        address payable ethRecipient,
        address nftRecipient,
        uint256 deadline
    ) external payable checkDeadline(deadline) returns (uint256 remainingValue) {
        return _swapETHForSpecificNFTs(swapList, msg.value, ethRecipient, nftRecipient);
    }

    /**
     * @notice Swaps one set of NFTs into another set of specific NFTs using multiple pairs, using
     * ETH as the intermediary.
     * @param trade The struct containing all NFT-to-ETH swaps and ETH-to-NFT swaps.
     * @param minOutput The minimum acceptable total excess ETH received
     * @param ethRecipient The address that will receive the ETH output
     * @param nftRecipient The address that will receive the NFT output
     * @param deadline The Unix timestamp (in seconds) at/after which the swap will revert
     * @return outputAmount The total ETH received
     */
    function swapNFTsForSpecificNFTsThroughETH(
        NFTsForSpecificNFTsTrade calldata trade,
        uint256 minOutput,
        address payable ethRecipient,
        address nftRecipient,
        uint256 deadline
    ) external payable checkDeadline(deadline) returns (uint256 outputAmount) {
        // Swap NFTs for ETH
        // minOutput of swap set to 0 since we're doing an aggregate slippage check
        outputAmount = _swapNFTsForToken(trade.nftToTokenTrades, 0, payable(address(this)));

        // Add extra value to buy NFTs
        outputAmount += msg.value;

        // Swap ETH for specific NFTs
        // cost <= inputValue = outputAmount - minOutput, so outputAmount' = (outputAmount - minOutput - cost) + minOutput >= minOutput
        outputAmount = _swapETHForSpecificNFTs(
            trade.tokenToNFTTrades, outputAmount - minOutput, ethRecipient, nftRecipient
        ) + minOutput;
    }

    /**
     * ERC20 swaps
     *
     * Note: All ERC20 swaps assume that a single ERC20 token is used for all the pairs involved.
     * Swapping using multiple tokens in the same transaction is possible, but the slippage checks
     * & the return values will be meaningless, and may lead to undefined behavior.
     *
     * Note: The sender should ideally grant infinite token approval to the router in order for NFT-to-NFT
     * swaps to work smoothly.
     */

    /**
     * @notice Swaps ERC20 tokens into specific NFTs using multiple pairs.
     * @param swapList The list of pairs to trade with and the IDs of the NFTs to buy from each.
     * @param inputAmount The amount of ERC20 tokens to add to the ERC20-to-NFT swaps
     * @param nftRecipient The address that will receive the NFT output
     * @param deadline The Unix timestamp (in seconds) at/after which the swap will revert
     * @return remainingValue The unspent token amount
     */
    function swapERC20ForSpecificNFTs(
        PairSwapSpecific[] calldata swapList,
        uint256 inputAmount,
        address nftRecipient,
        uint256 deadline
    ) external checkDeadline(deadline) returns (uint256 remainingValue) {
        return _swapERC20ForSpecificNFTs(swapList, inputAmount, nftRecipient);
    }

    /**
     * @notice Swaps NFTs into ETH/ERC20 using multiple pairs.
     * @param swapList The list of pairs to trade with and the IDs of the NFTs to sell to each.
     * @param minOutput The minimum acceptable total tokens received
     * @param tokenRecipient The address that will receive the token output
     * @param deadline The Unix timestamp (in seconds) at/after which the swap will revert
     * @return outputAmount The total tokens received
     */
    function swapNFTsForToken(
        PairSwapSpecific[] calldata swapList,
        uint256 minOutput,
        address tokenRecipient,
        uint256 deadline
    ) external checkDeadline(deadline) returns (uint256 outputAmount) {
        return _swapNFTsForToken(swapList, minOutput, payable(tokenRecipient));
    }

    /**
     * @notice Swaps one set of NFTs into another set of specific NFTs using multiple pairs, using
     * an ERC20 token as the intermediary.
     * @param trade The struct containing all NFT-to-ERC20 swaps and ERC20-to-NFT swaps.
     * @param inputAmount The amount of ERC20 tokens to add to the ERC20-to-NFT swaps
     * @param minOutput The minimum acceptable total excess tokens received
     * @param nftRecipient The address that will receive the NFT output
     * @param deadline The Unix timestamp (in seconds) at/after which the swap will revert
     * @return outputAmount The total ERC20 tokens received
     */
    function swapNFTsForSpecificNFTsThroughERC20(
        NFTsForSpecificNFTsTrade calldata trade,
        uint256 inputAmount,
        uint256 minOutput,
        address nftRecipient,
        uint256 deadline
    ) external checkDeadline(deadline) returns (uint256 outputAmount) {
        // Swap NFTs for ERC20
        // minOutput of swap set to 0 since we're doing an aggregate slippage check
        // output tokens are sent to msg.sender
        outputAmount = _swapNFTsForToken(trade.nftToTokenTrades, 0, payable(msg.sender));

        // Add extra value to buy NFTs
        outputAmount += inputAmount;

        // Swap ERC20 for specific NFTs
        // cost <= maxCost = outputAmount - minOutput, so outputAmount' = outputAmount - cost >= minOutput
        // input tokens are taken directly from msg.sender
        outputAmount =
            _swapERC20ForSpecificNFTs(trade.tokenToNFTTrades, outputAmount - minOutput, nftRecipient) + minOutput;
    }

    /**
     * Robust Swaps
     * These are "robust" versions of the NFT<>Token swap functions which will never revert due to slippage
     * Instead, users specify a per-swap max cost. If the price changes more than the user specifies, no swap is attempted. This allows users to specify a batch of swaps, and execute as many of them as possible.
     */

    /**
     * @dev Ensure msg.value >= sum of values in maxCostPerPair to make sure the transaction doesn't revert
     * @param swapList The list of pairs to trade with and the IDs of the NFTs to buy from each.
     * @param ethRecipient The address that will receive the unspent ETH input
     * @param nftRecipient The address that will receive the NFT output
     * @param deadline The Unix timestamp (in seconds) at/after which the swap will revert
     * @return remainingValue The unspent token amount
     */
    function robustSwapETHForSpecificNFTs(
        RobustPairSwapSpecific[] calldata swapList,
        address payable ethRecipient,
        address nftRecipient,
        uint256 deadline
    ) public payable virtual checkDeadline(deadline) returns (uint256 remainingValue) {
        remainingValue = msg.value;
        uint256 pairCost;
        CurveErrorCodes.Error error;

        // Try doing each swap
        uint256 numSwaps = swapList.length;
        for (uint256 i; i < numSwaps;) {
            // Calculate actual cost per swap
            (error,,, pairCost,,) = swapList[i].swapInfo.pair.getBuyNFTQuote(
                swapList[i].swapInfo.nftIds[0], swapList[i].swapInfo.nftIds.length
            );

            // If within our maxCost and no error, proceed
            if (pairCost <= swapList[i].maxCost && error == CurveErrorCodes.Error.OK) {
                // We know how much ETH to send because we already did the math above
                // So we just send that much
                remainingValue -= swapList[i].swapInfo.pair.swapTokenForSpecificNFTs{value: pairCost}(
                    swapList[i].swapInfo.nftIds, pairCost, nftRecipient, true, msg.sender
                );
            }

            unchecked {
                ++i;
            }
        }

        // Return remaining value to sender
        if (remainingValue > 0) {
            ethRecipient.safeTransferETH(remainingValue);
        }
    }

    /**
     * @notice Swaps as many ERC20 tokens for specific NFTs as possible, respecting the per-swap max cost.
     * @param swapList The list of pairs to trade with and the IDs of the NFTs to buy from each.
     * @param inputAmount The amount of ERC20 tokens to add to the ERC20-to-NFT swaps
     * @param nftRecipient The address that will receive the NFT output
     * @param deadline The Unix timestamp (in seconds) at/after which the swap will revert
     * @return remainingValue The unspent token amount
     */
    function robustSwapERC20ForSpecificNFTs(
        RobustPairSwapSpecific[] calldata swapList,
        uint256 inputAmount,
        address nftRecipient,
        uint256 deadline
    ) public virtual checkDeadline(deadline) returns (uint256 remainingValue) {
        remainingValue = inputAmount;
        uint256 pairCost;
        CurveErrorCodes.Error error;

        // Try doing each swap
        uint256 numSwaps = swapList.length;
        for (uint256 i; i < numSwaps;) {
            // Calculate actual cost per swap
            (error,,, pairCost,,) = swapList[i].swapInfo.pair.getBuyNFTQuote(
                swapList[i].swapInfo.nftIds[0], swapList[i].swapInfo.nftIds.length
            );

            // If within our maxCost and no error, proceed
            if (pairCost <= swapList[i].maxCost && error == CurveErrorCodes.Error.OK) {
                remainingValue -= swapList[i].swapInfo.pair.swapTokenForSpecificNFTs(
                    swapList[i].swapInfo.nftIds, pairCost, nftRecipient, true, msg.sender
                );
            }

            unchecked {
                ++i;
            }
        }
    }

    /**
     * @notice Swaps as many NFTs for tokens as possible, respecting the per-swap min output
     * @param swapList The list of pairs to trade with and the IDs of the NFTs to sell to each.
     * @param tokenRecipient The address that will receive the token output
     * @param deadline The Unix timestamp (in seconds) at/after which the swap will revert
     * @return outputAmount The total ETH/ERC20 received
     */
    function robustSwapNFTsForToken(
        RobustPairSwapSpecificForToken[] calldata swapList,
        address payable tokenRecipient,
        uint256 deadline
    ) public virtual checkDeadline(deadline) returns (uint256 outputAmount) {
        // Try doing each swap
        uint256 numSwaps = swapList.length;
        for (uint256 i; i < numSwaps;) {
            uint256 pairOutput;

            // Locally scoped to avoid stack too deep error
            {
                CurveErrorCodes.Error error;
                uint256[] memory nftIds = swapList[i].swapInfo.nftIds;
                if (nftIds.length == 0) {
                    unchecked {
                        ++i;
                    }
                    continue;
                }
                (error,,, pairOutput,,) = swapList[i].swapInfo.pair.getSellNFTQuote(nftIds[0], nftIds.length);
                if (error != CurveErrorCodes.Error.OK) {
                    unchecked {
                        ++i;
                    }
                    continue;
                }
            }

            // If at least equal to our minOutput, proceed
            if (pairOutput >= swapList[i].minOutput) {
                // Do the swap and update outputAmount with how many tokens we got
                outputAmount += swapList[i].swapInfo.pair.swapNFTsForToken(
                    swapList[i].swapInfo.nftIds, 0, tokenRecipient, true, msg.sender
                );
            }

            unchecked {
                ++i;
            }
        }
    }

    /**
     * @notice Buys NFTs with ETH and sells them for tokens in one transaction
     * @param params All the parameters for the swap (packed in struct to avoid stack too deep), containing:
     * - ethToNFTSwapList The list of NFTs to buy
     * - nftToTokenSwapList The list of NFTs to sell
     * - inputAmount The max amount of tokens to send (if ERC20)
     * - tokenRecipient The address that receives tokens from the NFTs sold
     * - nftRecipient The address that receives NFTs
     * - deadline UNIX timestamp deadline for the swap
     */
    function robustSwapETHForSpecificNFTsAndNFTsToToken(RobustPairNFTsFoTokenAndTokenforNFTsTrade calldata params)
        external
        payable
        virtual
        returns (uint256 remainingValue, uint256 outputAmount)
    {
        {
            remainingValue = msg.value;
            uint256 pairCost;
            CurveErrorCodes.Error error;

            // Try doing each swap
            uint256 numSwaps = params.tokenToNFTTrades.length;
            for (uint256 i; i < numSwaps;) {
                // Calculate actual cost per swap
                (error,,, pairCost,,) = params.tokenToNFTTrades[i].swapInfo.pair.getBuyNFTQuote(
                    params.tokenToNFTTrades[i].swapInfo.nftIds[0], params.tokenToNFTTrades[i].swapInfo.nftIds.length
                );

                // If within our maxCost and no error, proceed
                if (pairCost <= params.tokenToNFTTrades[i].maxCost && error == CurveErrorCodes.Error.OK) {
                    // We know how much ETH to send because we already did the math above
                    // So we just send that much
                    remainingValue -= params.tokenToNFTTrades[i].swapInfo.pair.swapTokenForSpecificNFTs{value: pairCost}(
                        params.tokenToNFTTrades[i].swapInfo.nftIds, pairCost, params.nftRecipient, true, msg.sender
                    );
                }

                unchecked {
                    ++i;
                }
            }

            // Return remaining value to sender
            if (remainingValue > 0) {
                params.tokenRecipient.safeTransferETH(remainingValue);
            }
        }
        {
            // Try doing each swap
            uint256 numSwaps = params.nftToTokenTrades.length;
            for (uint256 i; i < numSwaps;) {
                uint256 pairOutput;

                // Locally scoped to avoid stack too deep error
                {
                    CurveErrorCodes.Error error;
                    uint256 assetId = params.nftToTokenTrades[i].swapInfo.nftIds[0];
                    (error,,, pairOutput,,) = params.nftToTokenTrades[i].swapInfo.pair.getSellNFTQuote(
                        assetId, params.nftToTokenTrades[i].swapInfo.nftIds.length
                    );
                    if (error != CurveErrorCodes.Error.OK) {
                        unchecked {
                            ++i;
                        }
                        continue;
                    }
                }

                // If at least equal to our minOutput, proceed
                if (pairOutput >= params.nftToTokenTrades[i].minOutput) {
                    // Do the swap and update outputAmount with how many tokens we got
                    outputAmount += params.nftToTokenTrades[i].swapInfo.pair.swapNFTsForToken(
                        params.nftToTokenTrades[i].swapInfo.nftIds, 0, params.tokenRecipient, true, msg.sender
                    );
                }

                unchecked {
                    ++i;
                }
            }
        }
    }

    /**
     * @notice Buys NFTs with ERC20, and sells them for tokens in one transaction
     * @param params All the parameters for the swap (packed in struct to avoid stack too deep), containing:
     * - ethToNFTSwapList The list of NFTs to buy
     * - nftToTokenSwapList The list of NFTs to sell
     * - inputAmount The max amount of tokens to send (if ERC20)
     * - tokenRecipient The address that receives tokens from the NFTs sold
     * - nftRecipient The address that receives NFTs
     * - deadline UNIX timestamp deadline for the swap
     */
    function robustSwapERC20ForSpecificNFTsAndNFTsToToken(RobustPairNFTsFoTokenAndTokenforNFTsTrade calldata params)
        external
        virtual
        returns (uint256 remainingValue, uint256 outputAmount)
    {
        {
            remainingValue = params.inputAmount;
            uint256 pairCost;
            CurveErrorCodes.Error error;

            // Try doing each swap
            uint256 numSwaps = params.tokenToNFTTrades.length;
            for (uint256 i; i < numSwaps;) {
                // Calculate actual cost per swap
                (error,,, pairCost,,) = params.tokenToNFTTrades[i].swapInfo.pair.getBuyNFTQuote(
                    params.tokenToNFTTrades[i].swapInfo.nftIds[0], params.tokenToNFTTrades[i].swapInfo.nftIds.length
                );

                // If within our maxCost and no error, proceed
                if (pairCost <= params.tokenToNFTTrades[i].maxCost && error == CurveErrorCodes.Error.OK) {
                    remainingValue -= params.tokenToNFTTrades[i].swapInfo.pair.swapTokenForSpecificNFTs(
                        params.tokenToNFTTrades[i].swapInfo.nftIds, pairCost, params.nftRecipient, true, msg.sender
                    );
                }

                unchecked {
                    ++i;
                }
            }
        }
        {
            // Try doing each swap
            uint256 numSwaps = params.nftToTokenTrades.length;
            for (uint256 i; i < numSwaps;) {
                uint256 pairOutput;

                // Locally scoped to avoid stack too deep error
                {
                    CurveErrorCodes.Error error;
                    uint256 assetId = params.nftToTokenTrades[i].swapInfo.nftIds[0];
                    (error,,, pairOutput,,) = params.nftToTokenTrades[i].swapInfo.pair.getSellNFTQuote(
                        assetId, params.nftToTokenTrades[i].swapInfo.nftIds.length
                    );
                    if (error != CurveErrorCodes.Error.OK) {
                        unchecked {
                            ++i;
                        }
                        continue;
                    }
                }

                // If at least equal to our minOutput, proceed
                if (pairOutput >= params.nftToTokenTrades[i].minOutput) {
                    // Do the swap and update outputAmount with how many tokens we got
                    outputAmount += params.nftToTokenTrades[i].swapInfo.pair.swapNFTsForToken(
                        params.nftToTokenTrades[i].swapInfo.nftIds, 0, params.tokenRecipient, true, msg.sender
                    );
                }

                unchecked {
                    ++i;
                }
            }
        }
    }

    receive() external payable {}

    /**
     * Restricted functions
     */

    /**
     * @dev Allows an ERC20 pair contract to transfer ERC20 tokens directly from
     * the sender, in order to minimize the number of token transfers. Only callable by an ERC20 pair.
     * @param token The ERC20 token to transfer
     * @param from The address to transfer tokens from
     * @param to The address to transfer tokens to
     * @param amount The amount of tokens to transfer
     */
    function pairTransferERC20From(ERC20 token, address from, address to, uint256 amount) external {
        // verify caller is a trusted pair contract
        require(factory.isValidPair(msg.sender), "Not pair");
        // verify caller is an ERC20 pair
        require(factory.getPairTokenType(msg.sender) == ILSSVMPairFactoryLike.PairTokenType.ERC20, "Not ERC20 pair");

        // transfer tokens to pair
        token.safeTransferFrom(from, to, amount);
    }

    /**
     * @dev Allows a pair contract to transfer ERC721 NFTs directly from
     * the sender, in order to minimize the number of token transfers. Only callable by a pair.
     * @param nft The ERC721 NFT to transfer
     * @param from The address to transfer tokens from
     * @param to The address to transfer tokens to
     * @param id The ID of the NFT to transfer
     */
    function pairTransferNFTFrom(IERC721 nft, address from, address to, uint256 id) external {
        // verify caller is a trusted pair contract
        require(factory.isValidPair(msg.sender), "Not pair");

        // transfer NFTs to pair
        nft.transferFrom(from, to, id);
    }

    function pairTransferERC1155From(
        IERC1155 nft,
        address from,
        address to,
        uint256[] calldata ids,
        uint256[] calldata amounts
    ) external {
        // verify caller is a trusted pair contract
        require(factory.isValidPair(msg.sender), "Not pair");

        nft.safeBatchTransferFrom(from, to, ids, amounts, bytes(""));
    }

    /**
     * Internal functions
     */

    /**
     * @param deadline The last valid time for a swap
     */
    function _checkDeadline(uint256 deadline) internal view {
        require(block.timestamp <= deadline, "Deadline passed");
    }

    /**
     * @notice Internal function used to swap ETH for a specific set of NFTs
     * @param swapList The list of pairs and swap calldata
     * @param inputAmount The total amount of ETH to send
     * @param ethRecipient The address receiving excess ETH
     * @param nftRecipient The address receiving the NFTs from the pairs
     * @return remainingValue The unspent token amount
     */
    function _swapETHForSpecificNFTs(
        PairSwapSpecific[] calldata swapList,
        uint256 inputAmount,
        address payable ethRecipient,
        address nftRecipient
    ) internal virtual returns (uint256 remainingValue) {
        remainingValue = inputAmount;

        uint256 pairCost;
        CurveErrorCodes.Error error;

        // Do swaps
        uint256 numSwaps = swapList.length;
        for (uint256 i; i < numSwaps;) {
            // Calculate the cost per swap first to send exact amount of ETH over, saves gas by avoiding the need to send back excess ETH
            (error,,, pairCost,,) = swapList[i].pair.getBuyNFTQuote(swapList[i].nftIds[0], swapList[i].nftIds.length);

            // Require no errors
            require(error == CurveErrorCodes.Error.OK, "Bonding curve error");

            // Total ETH taken from sender cannot exceed inputAmount
            // because otherwise the deduction from remainingValue will fail
            remainingValue -= swapList[i].pair.swapTokenForSpecificNFTs{value: pairCost}(
                swapList[i].nftIds, remainingValue, nftRecipient, true, msg.sender
            );

            unchecked {
                ++i;
            }
        }

        // Return remaining value to sender
        if (remainingValue > 0) {
            ethRecipient.safeTransferETH(remainingValue);
        }
    }

    /**
     * @notice Internal function used to swap an ERC20 token for specific NFTs
     * @dev Note that we don't need to query the pair's bonding curve first for pricing data because
     * we just calculate and take the required amount from the caller during swap time.
     * However, we can't "pull" ETH, which is why for the ETH->NFT swaps, we need to calculate the pricing info
     * to figure out how much the router should send to the pool.
     * @param swapList The list of pairs and swap calldata
     * @param inputAmount The total amount of ERC20 tokens to send
     * @param nftRecipient The address receiving the NFTs from the pairs
     * @return remainingValue The unspent token amount
     */
    function _swapERC20ForSpecificNFTs(PairSwapSpecific[] calldata swapList, uint256 inputAmount, address nftRecipient)
        internal
        virtual
        returns (uint256 remainingValue)
    {
        remainingValue = inputAmount;

        // Do swaps
        uint256 numSwaps = swapList.length;
        for (uint256 i; i < numSwaps;) {
            // Tokens are transferred in by the pair calling router.pairTransferERC20From
            // Total tokens taken from sender cannot exceed inputAmount
            // because otherwise the deduction from remainingValue will fail
            remainingValue -= swapList[i].pair.swapTokenForSpecificNFTs(
                swapList[i].nftIds, remainingValue, nftRecipient, true, msg.sender
            );

            unchecked {
                ++i;
            }
        }
    }

    /**
     * @notice Swaps NFTs for tokens, designed to be used for 1 token at a time
     * @dev Calling with multiple tokens is permitted, BUT minOutput will be
     * far from enough of a safety check because different tokens almost certainly have different unit prices.
     * @param swapList The list of pairs and swap calldata
     * @param minOutput The minimum number of tokens to be receieved from the swaps
     * @param tokenRecipient The address that receives the tokens
     * @return outputAmount The number of tokens to be received
     */
    function _swapNFTsForToken(PairSwapSpecific[] calldata swapList, uint256 minOutput, address payable tokenRecipient)
        internal
        virtual
        returns (uint256 outputAmount)
    {
        // Do swaps
        uint256 numSwaps = swapList.length;
        for (uint256 i; i < numSwaps;) {
            // Do the swap for token and then update outputAmount
            // Note: minExpectedTokenOutput is set to 0 since we're doing an aggregate slippage check below
            outputAmount += swapList[i].pair.swapNFTsForToken(swapList[i].nftIds, 0, tokenRecipient, true, msg.sender);

            unchecked {
                ++i;
            }
        }

        // Aggregate slippage check
        require(outputAmount >= minOutput, "outputAmount too low");
    }
}

// SPDX-License-Identifier: AGPL-3.0
pragma solidity ^0.8.0;

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

interface ILSSVMPairFactoryLike {
    struct Settings {
        uint96 bps;
        address pairAddress;
    }

    enum PairNFTType {
        ERC721,
        ERC1155
    }

    enum PairTokenType {
        ETH,
        ERC20
    }

    enum PairVariant {
        ERC721_ETH,
        ERC721_ERC20,
        ERC1155_ETH,
        ERC1155_ERC20
    }

    function protocolFeeMultiplier() external view returns (uint256);

    function protocolFeeRecipient() external view returns (address payable);

    function callAllowed(address target) external view returns (bool);

    function authAllowedForToken(address tokenAddress, address proposedAuthAddress) external view returns (bool);

    function getSettingsForPair(address pairAddress) external view returns (bool settingsEnabled, uint96 bps);

    function enableSettingsForPair(address settings, address pairAddress) external;

    function disableSettingsForPair(address settings, address pairAddress) external;

    function routerStatus(LSSVMRouter router) external view returns (bool allowed, bool wasEverTouched);

    function isValidPair(address pairAddress) external view returns (bool);

    function getPairNFTType(address pairAddress) external pure returns (PairNFTType);

    function getPairTokenType(address pairAddress) external pure returns (PairTokenType);

    function openLock() external;

    function closeLock() external;
}

// SPDX-License-Identifier: AGPL-3.0

pragma solidity ^0.8.4;

interface IOwnershipTransferReceiver {
    function onOwnershipTransferred(address oldOwner, bytes memory data) external payable;
}

// SPDX-License-Identifier: AGPL-3.0

pragma solidity ^0.8.4;

import {Address} from "@openzeppelin/contracts/utils/Address.sol";
import {ERC165Checker} from "@openzeppelin/contracts/utils/introspection/ERC165Checker.sol";

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

abstract contract OwnableWithTransferCallback {
    using ERC165Checker for address;
    using Address for address;

    bytes4 constant TRANSFER_CALLBACK = type(IOwnershipTransferReceiver).interfaceId;

    error Ownable_NotOwner();
    error Ownable_NewOwnerZeroAddress();

    address private _owner;

    event OwnershipTransferred(address indexed newOwner);

    /**
     * @dev Initializes the contract setting the deployer as the initial owner.
     */
    function __Ownable_init(address initialOwner) internal {
        _owner = initialOwner;
    }

    /**
     * @dev Returns the address of the current owner.
     */
    function owner() public view virtual returns (address) {
        return _owner;
    }

    /**
     * @dev Throws if called by any account other than the owner.
     */
    modifier onlyOwner() {
        if (owner() != msg.sender) revert Ownable_NotOwner();
        _;
    }

    /**
     * @dev Transfers ownership of the contract to a new account (`newOwner`).
     * @param newOwner The new address to become owner
     * @param data Any additional data to send to the ownership received callback.
     * Disallows setting to the zero address as a way to more gas-efficiently avoid reinitialization.
     * When ownership is transferred, if the new owner implements IOwnershipTransferCallback, we make a callback.
     * Can only be called by the current owner.
     */
    function transferOwnership(address newOwner, bytes calldata data) public payable virtual onlyOwner {
        if (newOwner == address(0)) revert Ownable_NewOwnerZeroAddress();
        _transferOwnership(newOwner);

        if (newOwner.isContract()) {
            try IOwnershipTransferReceiver(newOwner).onOwnershipTransferred{value: msg.value}(msg.sender, data) {}
            // If revert...
            catch (bytes memory reason) {
                // If we just transferred to a contract w/ no callback, this is fine
                if (reason.length == 0) {
                    // i.e., no need to revert
                }
                // Otherwise, the callback had an error, and we should revert
                else {
                    /// @solidity memory-safe-assembly
                    assembly {
                        revert(add(32, reason), mload(reason))
                    }
                }
            }
        }
    }

    /**
     * @notice Transfers ownership of the contract to a new account (`newOwner`).
     * @dev Internal function without access restriction.
     */
    function _transferOwnership(address newOwner) internal virtual {
        _owner = newOwner;
        emit OwnershipTransferred(newOwner);
    }
}

// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts v4.4.1 (utils/introspection/IERC165.sol)

pragma solidity ^0.8.0;

/**
 * @dev Interface of the ERC165 standard, as defined in the
 * https://eips.ethereum.org/EIPS/eip-165[EIP].
 *
 * Implementers can declare support of contract interfaces, which can then be
 * queried by others ({ERC165Checker}).
 *
 * For an implementation, see {ERC165}.
 */
interface IERC165 {
    /**
     * @dev Returns true if this contract implements the interface defined by
     * `interfaceId`. See the corresponding
     * https://eips.ethereum.org/EIPS/eip-165#how-interfaces-are-identified[EIP section]
     * to learn more about how these ids are created.
     *
     * This function call must use less than 30 000 gas.
     */
    function supportsInterface(bytes4 interfaceId) external view returns (bool);
}

// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts (last updated v4.6.0) (token/ERC721/IERC721Receiver.sol)

pragma solidity ^0.8.0;

/**
 * @title ERC721 token receiver interface
 * @dev Interface for any contract that wants to support safeTransfers
 * from ERC721 asset contracts.
 */
interface IERC721Receiver {
    /**
     * @dev Whenever an {IERC721} `tokenId` token is transferred to this contract via {IERC721-safeTransferFrom}
     * by `operator` from `from`, this function is called.
     *
     * It must return its Solidity selector to confirm the token transfer.
     * If any other value is returned or the interface is not implemented by the recipient, the transfer will be reverted.
     *
     * The selector can be obtained in Solidity with `IERC721Receiver.onERC721Received.selector`.
     */
    function onERC721Received(
        address operator,
        address from,
        uint256 tokenId,
        bytes calldata data
    ) external returns (bytes4);
}

// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts v4.4.1 (token/ERC1155/utils/ERC1155Receiver.sol)

pragma solidity ^0.8.0;

import "../IERC1155Receiver.sol";
import "../../../utils/introspection/ERC165.sol";

/**
 * @dev _Available since v3.1._
 */
abstract contract ERC1155Receiver is ERC165, IERC1155Receiver {
    /**
     * @dev See {IERC165-supportsInterface}.
     */
    function supportsInterface(bytes4 interfaceId) public view virtual override(ERC165, IERC165) returns (bool) {
        return interfaceId == type(IERC1155Receiver).interfaceId || super.supportsInterface(interfaceId);
    }
}

// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts (last updated v4.8.0) (utils/introspection/ERC165Checker.sol)

pragma solidity ^0.8.0;

import "./IERC165.sol";

/**
 * @dev Library used to query support of an interface declared via {IERC165}.
 *
 * Note that these functions return the actual result of the query: they do not
 * `revert` if an interface is not supported. It is up to the caller to decide
 * what to do in these cases.
 */
library ERC165Checker {
    // As per the EIP-165 spec, no interface should ever match 0xffffffff
    bytes4 private constant _INTERFACE_ID_INVALID = 0xffffffff;

    /**
     * @dev Returns true if `account` supports the {IERC165} interface.
     */
    function supportsERC165(address account) internal view returns (bool) {
        // Any contract that implements ERC165 must explicitly indicate support of
        // InterfaceId_ERC165 and explicitly indicate non-support of InterfaceId_Invalid
        return
            supportsERC165InterfaceUnchecked(account, type(IERC165).interfaceId) &&
            !supportsERC165InterfaceUnchecked(account, _INTERFACE_ID_INVALID);
    }

    /**
     * @dev Returns true if `account` supports the interface defined by
     * `interfaceId`. Support for {IERC165} itself is queried automatically.
     *
     * See {IERC165-supportsInterface}.
     */
    function supportsInterface(address account, bytes4 interfaceId) internal view returns (bool) {
        // query support of both ERC165 as per the spec and support of _interfaceId
        return supportsERC165(account) && supportsERC165InterfaceUnchecked(account, interfaceId);
    }

    /**
     * @dev Returns a boolean array where each value corresponds to the
     * interfaces passed in and whether they're supported or not. This allows
     * you to batch check interfaces for a contract where your expectation
     * is that some interfaces may not be supported.
     *
     * See {IERC165-supportsInterface}.
     *
     * _Available since v3.4._
     */
    function getSupportedInterfaces(address account, bytes4[] memory interfaceIds)
        internal
        view
        returns (bool[] memory)
    {
        // an array of booleans corresponding to interfaceIds and whether they're supported or not
        bool[] memory interfaceIdsSupported = new bool[](interfaceIds.length);

        // query support of ERC165 itself
        if (supportsERC165(account)) {
            // query support of each interface in interfaceIds
            for (uint256 i = 0; i < interfaceIds.length; i++) {
                interfaceIdsSupported[i] = supportsERC165InterfaceUnchecked(account, interfaceIds[i]);
            }
        }

        return interfaceIdsSupported;
    }

    /**
     * @dev Returns true if `account` supports all the interfaces defined in
     * `interfaceIds`. Support for {IERC165} itself is queried automatically.
     *
     * Batch-querying can lead to gas savings by skipping repeated checks for
     * {IERC165} support.
     *
     * See {IERC165-supportsInterface}.
     */
    function supportsAllInterfaces(address account, bytes4[] memory interfaceIds) internal view returns (bool) {
        // query support of ERC165 itself
        if (!supportsERC165(account)) {
            return false;
        }

        // query support of each interface in interfaceIds
        for (uint256 i = 0; i < interfaceIds.length; i++) {
            if (!supportsERC165InterfaceUnchecked(account, interfaceIds[i])) {
                return false;
            }
        }

        // all interfaces supported
        return true;
    }

    /**
     * @notice Query if a contract implements an interface, does not check ERC165 support
     * @param account The address of the contract to query for support of an interface
     * @param interfaceId The interface identifier, as specified in ERC-165
     * @return true if the contract at account indicates support of the interface with
     * identifier interfaceId, false otherwise
     * @dev Assumes that account contains a contract that supports ERC165, otherwise
     * the behavior of this method is undefined. This precondition can be checked
     * with {supportsERC165}.
     * Interface identification is specified in ERC-165.
     */
    function supportsERC165InterfaceUnchecked(address account, bytes4 interfaceId) internal view returns (bool) {
        // prepare call
        bytes memory encodedParams = abi.encodeWithSelector(IERC165.supportsInterface.selector, interfaceId);

        // perform static call
        bool success;
        uint256 returnSize;
        uint256 returnValue;
        assembly {
            success := staticcall(30000, account, add(encodedParams, 0x20), mload(encodedParams), 0x00, 0x20)
            returnSize := returndatasize()
            returnValue := mload(0x00)
        }

        return success && returnSize >= 0x20 && returnValue > 0;
    }
}

// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts (last updated v4.5.0) (token/ERC1155/IERC1155Receiver.sol)

pragma solidity ^0.8.0;

import "../../utils/introspection/IERC165.sol";

/**
 * @dev _Available since v3.1._
 */
interface IERC1155Receiver is IERC165 {
    /**
     * @dev Handles the receipt of a single ERC1155 token type. This function is
     * called at the end of a `safeTransferFrom` after the balance has been updated.
     *
     * NOTE: To accept the transfer, this must return
     * `bytes4(keccak256("onERC1155Received(address,address,uint256,uint256,bytes)"))`
     * (i.e. 0xf23a6e61, or its own function selector).
     *
     * @param operator The address which initiated the transfer (i.e. msg.sender)
     * @param from The address which previously owned the token
     * @param id The ID of the token being transferred
     * @param value The amount of tokens being transferred
     * @param data Additional data with no specified format
     * @return `bytes4(keccak256("onERC1155Received(address,address,uint256,uint256,bytes)"))` if transfer is allowed
     */
    function onERC1155Received(
        address operator,
        address from,
        uint256 id,
        uint256 value,
        bytes calldata data
    ) external returns (bytes4);

    /**
     * @dev Handles the receipt of a multiple ERC1155 token types. This function
     * is called at the end of a `safeBatchTransferFrom` after the balances have
     * been updated.
     *
     * NOTE: To accept the transfer(s), this must return
     * `bytes4(keccak256("onERC1155BatchReceived(address,address,uint256[],uint256[],bytes)"))`
     * (i.e. 0xbc197c81, or its own function selector).
     *
     * @param operator The address which initiated the batch transfer (i.e. msg.sender)
     * @param from The address which previously owned the token
     * @param ids An array containing ids of each token being transferred (order and length must match values array)
     * @param values An array containing amounts of each token being transferred (order and length must match ids array)
     * @param data Additional data with no specified format
     * @return `bytes4(keccak256("onERC1155BatchReceived(address,address,uint256[],uint256[],bytes)"))` if transfer is allowed
     */
    function onERC1155BatchReceived(
        address operator,
        address from,
        uint256[] calldata ids,
        uint256[] calldata values,
        bytes calldata data
    ) external returns (bytes4);
}

// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts v4.4.1 (utils/introspection/ERC165.sol)

pragma solidity ^0.8.0;

import "./IERC165.sol";

/**
 * @dev Implementation of the {IERC165} interface.
 *
 * Contracts that want to implement ERC165 should inherit from this contract and override {supportsInterface} to check
 * for the additional interface id that will be supported. For example:
 *
 * ```solidity
 * function supportsInterface(bytes4 interfaceId) public view virtual override returns (bool) {
 *     return interfaceId == type(MyInterface).interfaceId || super.supportsInterface(interfaceId);
 * }
 * ```
 *
 * Alternatively, {ERC165Storage} provides an easier to use but more expensive implementation.
 */
abstract contract ERC165 is IERC165 {
    /**
     * @dev See {IERC165-supportsInterface}.
     */
    function supportsInterface(bytes4 interfaceId) public view virtual override returns (bool) {
        return interfaceId == type(IERC165).interfaceId;
    }
}

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• No Contract Security Audit Submitted- Submit Audit Here

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0000000000000000000000000427743df720801825a5c82e0582b1e915e0f750000000000000000000000000a020d57ab0448ef74115c112d18a9c231cc860000000000000000000000000002a7021d9a7cd3a13b00fb01a5b5dead63705676d0000000000000000000000001fd5876d4a3860eb0159055a3b7cb79fdfff6b670000000000000000000000003aada3e213abf8529606924d8d1c55cbdc70bf74000000000000000000000000e5d78fec1a7f42d2f3620238c498f088a866fdc5

-----Decoded View---------------
Arg [0] : _mons (address): 0x0427743DF720801825a5c82e0582B1E915E0F750
Arg [1] : _factory (address): 0xA020d57aB0448Ef74115c112D18a9C231CC86000
Arg [2] : _markov (address): 0x2a7021D9a7CD3a13b00fB01A5B5dEad63705676D
Arg [3] : _gda (address): 0x1fD5876d4A3860Eb0159055a3b7Cb79fdFFf6B67
Arg [4] : _xmon (address): 0x3aaDA3e213aBf8529606924d8D1c55CbDc70Bf74
Arg [5] : _linear (address): 0xe5d78fec1a7f42d2F3620238C498F088A866FdC5

-----Encoded View---------------
6 Constructor Arguments found :
Arg [0] : 0000000000000000000000000427743df720801825a5c82e0582b1e915e0f750
Arg [1] : 000000000000000000000000a020d57ab0448ef74115c112d18a9c231cc86000
Arg [2] : 0000000000000000000000002a7021d9a7cd3a13b00fb01a5b5dead63705676d
Arg [3] : 0000000000000000000000001fd5876d4a3860eb0159055a3b7cb79fdfff6b67
Arg [4] : 0000000000000000000000003aada3e213abf8529606924d8d1c55cbdc70bf74
Arg [5] : 000000000000000000000000e5d78fec1a7f42d2f3620238c498f088a866fdc5