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// SPDX-License-Identifier: BUSL-1.1

pragma solidity 0.8.24;

import "openzeppelin-contracts/contracts/token/ERC721/ERC721.sol";
import "openzeppelin-contracts/contracts/token/ERC20/extensions/IERC20Metadata.sol";

import "./Interfaces/ITroveNFT.sol";
import "./Interfaces/IAddressesRegistry.sol";

import {IMetadataNFT} from "./NFTMetadata/MetadataNFT.sol";
import {ITroveManager} from "./Interfaces/ITroveManager.sol";

contract TroveNFT is ERC721, ITroveNFT {
    ITroveManager public immutable troveManager;
    IERC20Metadata internal immutable collToken;
    IBoldToken internal immutable boldToken;

    IMetadataNFT public immutable metadataNFT;

    constructor(IAddressesRegistry _addressesRegistry)
        ERC721(
            string.concat("Liquity v2 Trove - ", _addressesRegistry.collToken().name()),
            string.concat("Lv2T_", _addressesRegistry.collToken().symbol())
        )
    {
        troveManager = _addressesRegistry.troveManager();
        collToken = _addressesRegistry.collToken();
        metadataNFT = _addressesRegistry.metadataNFT();
        boldToken = _addressesRegistry.boldToken();
    }

    function tokenURI(uint256 _tokenId) public view override(ERC721, IERC721Metadata) returns (string memory) {
        LatestTroveData memory latestTroveData = troveManager.getLatestTroveData(_tokenId);

        IMetadataNFT.TroveData memory troveData = IMetadataNFT.TroveData({
            _tokenId: _tokenId,
            _owner: ownerOf(_tokenId),
            _collToken: address(collToken),
            _boldToken: address(boldToken),
            _collAmount: latestTroveData.entireColl,
            _debtAmount: latestTroveData.entireDebt,
            _interestRate: latestTroveData.annualInterestRate,
            _status: troveManager.getTroveStatus(_tokenId)
        });

        return metadataNFT.uri(troveData);
    }

    function mint(address _owner, uint256 _troveId) external override {
        _requireCallerIsTroveManager();
        _mint(_owner, _troveId);
    }

    function burn(uint256 _troveId) external override {
        _requireCallerIsTroveManager();
        _burn(_troveId);
    }

    function _requireCallerIsTroveManager() internal view {
        require(msg.sender == address(troveManager), "TroveNFT: Caller is not the TroveManager contract");
    }
}

// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts (last updated v5.1.0) (token/ERC721/ERC721.sol)

pragma solidity ^0.8.20;

import {IERC721} from "./IERC721.sol";
import {IERC721Metadata} from "./extensions/IERC721Metadata.sol";
import {ERC721Utils} from "./utils/ERC721Utils.sol";
import {Context} from "../../utils/Context.sol";
import {Strings} from "../../utils/Strings.sol";
import {IERC165, ERC165} from "../../utils/introspection/ERC165.sol";
import {IERC721Errors} from "../../interfaces/draft-IERC6093.sol";

/**
 * @dev Implementation of https://eips.ethereum.org/EIPS/eip-721[ERC-721] Non-Fungible Token Standard, including
 * the Metadata extension, but not including the Enumerable extension, which is available separately as
 * {ERC721Enumerable}.
 */
abstract contract ERC721 is Context, ERC165, IERC721, IERC721Metadata, IERC721Errors {
    using Strings for uint256;

    // Token name
    string private _name;

    // Token symbol
    string private _symbol;

    mapping(uint256 tokenId => address) private _owners;

    mapping(address owner => uint256) private _balances;

    mapping(uint256 tokenId => address) private _tokenApprovals;

    mapping(address owner => mapping(address operator => bool)) private _operatorApprovals;

    /**
     * @dev Initializes the contract by setting a `name` and a `symbol` to the token collection.
     */
    constructor(string memory name_, string memory symbol_) {
        _name = name_;
        _symbol = symbol_;
    }

    /**
     * @dev See {IERC165-supportsInterface}.
     */
    function supportsInterface(bytes4 interfaceId) public view virtual override(ERC165, IERC165) returns (bool) {
        return
            interfaceId == type(IERC721).interfaceId ||
            interfaceId == type(IERC721Metadata).interfaceId ||
            super.supportsInterface(interfaceId);
    }

    /**
     * @dev See {IERC721-balanceOf}.
     */
    function balanceOf(address owner) public view virtual returns (uint256) {
        if (owner == address(0)) {
            revert ERC721InvalidOwner(address(0));
        }
        return _balances[owner];
    }

    /**
     * @dev See {IERC721-ownerOf}.
     */
    function ownerOf(uint256 tokenId) public view virtual returns (address) {
        return _requireOwned(tokenId);
    }

    /**
     * @dev See {IERC721Metadata-name}.
     */
    function name() public view virtual returns (string memory) {
        return _name;
    }

    /**
     * @dev See {IERC721Metadata-symbol}.
     */
    function symbol() public view virtual returns (string memory) {
        return _symbol;
    }

    /**
     * @dev See {IERC721Metadata-tokenURI}.
     */
    function tokenURI(uint256 tokenId) public view virtual returns (string memory) {
        _requireOwned(tokenId);

        string memory baseURI = _baseURI();
        return bytes(baseURI).length > 0 ? string.concat(baseURI, tokenId.toString()) : "";
    }

    /**
     * @dev Base URI for computing {tokenURI}. If set, the resulting URI for each
     * token will be the concatenation of the `baseURI` and the `tokenId`. Empty
     * by default, can be overridden in child contracts.
     */
    function _baseURI() internal view virtual returns (string memory) {
        return "";
    }

    /**
     * @dev See {IERC721-approve}.
     */
    function approve(address to, uint256 tokenId) public virtual {
        _approve(to, tokenId, _msgSender());
    }

    /**
     * @dev See {IERC721-getApproved}.
     */
    function getApproved(uint256 tokenId) public view virtual returns (address) {
        _requireOwned(tokenId);

        return _getApproved(tokenId);
    }

    /**
     * @dev See {IERC721-setApprovalForAll}.
     */
    function setApprovalForAll(address operator, bool approved) public virtual {
        _setApprovalForAll(_msgSender(), operator, approved);
    }

    /**
     * @dev See {IERC721-isApprovedForAll}.
     */
    function isApprovedForAll(address owner, address operator) public view virtual returns (bool) {
        return _operatorApprovals[owner][operator];
    }

    /**
     * @dev See {IERC721-transferFrom}.
     */
    function transferFrom(address from, address to, uint256 tokenId) public virtual {
        if (to == address(0)) {
            revert ERC721InvalidReceiver(address(0));
        }
        // Setting an "auth" arguments enables the `_isAuthorized` check which verifies that the token exists
        // (from != 0). Therefore, it is not needed to verify that the return value is not 0 here.
        address previousOwner = _update(to, tokenId, _msgSender());
        if (previousOwner != from) {
            revert ERC721IncorrectOwner(from, tokenId, previousOwner);
        }
    }

    /**
     * @dev See {IERC721-safeTransferFrom}.
     */
    function safeTransferFrom(address from, address to, uint256 tokenId) public {
        safeTransferFrom(from, to, tokenId, "");
    }

    /**
     * @dev See {IERC721-safeTransferFrom}.
     */
    function safeTransferFrom(address from, address to, uint256 tokenId, bytes memory data) public virtual {
        transferFrom(from, to, tokenId);
        ERC721Utils.checkOnERC721Received(_msgSender(), from, to, tokenId, data);
    }

    /**
     * @dev Returns the owner of the `tokenId`. Does NOT revert if token doesn't exist
     *
     * IMPORTANT: Any overrides to this function that add ownership of tokens not tracked by the
     * core ERC-721 logic MUST be matched with the use of {_increaseBalance} to keep balances
     * consistent with ownership. The invariant to preserve is that for any address `a` the value returned by
     * `balanceOf(a)` must be equal to the number of tokens such that `_ownerOf(tokenId)` is `a`.
     */
    function _ownerOf(uint256 tokenId) internal view virtual returns (address) {
        return _owners[tokenId];
    }

    /**
     * @dev Returns the approved address for `tokenId`. Returns 0 if `tokenId` is not minted.
     */
    function _getApproved(uint256 tokenId) internal view virtual returns (address) {
        return _tokenApprovals[tokenId];
    }

    /**
     * @dev Returns whether `spender` is allowed to manage `owner`'s tokens, or `tokenId` in
     * particular (ignoring whether it is owned by `owner`).
     *
     * WARNING: This function assumes that `owner` is the actual owner of `tokenId` and does not verify this
     * assumption.
     */
    function _isAuthorized(address owner, address spender, uint256 tokenId) internal view virtual returns (bool) {
        return
            spender != address(0) &&
            (owner == spender || isApprovedForAll(owner, spender) || _getApproved(tokenId) == spender);
    }

    /**
     * @dev Checks if `spender` can operate on `tokenId`, assuming the provided `owner` is the actual owner.
     * Reverts if:
     * - `spender` does not have approval from `owner` for `tokenId`.
     * - `spender` does not have approval to manage all of `owner`'s assets.
     *
     * WARNING: This function assumes that `owner` is the actual owner of `tokenId` and does not verify this
     * assumption.
     */
    function _checkAuthorized(address owner, address spender, uint256 tokenId) internal view virtual {
        if (!_isAuthorized(owner, spender, tokenId)) {
            if (owner == address(0)) {
                revert ERC721NonexistentToken(tokenId);
            } else {
                revert ERC721InsufficientApproval(spender, tokenId);
            }
        }
    }

    /**
     * @dev Unsafe write access to the balances, used by extensions that "mint" tokens using an {ownerOf} override.
     *
     * NOTE: the value is limited to type(uint128).max. This protect against _balance overflow. It is unrealistic that
     * a uint256 would ever overflow from increments when these increments are bounded to uint128 values.
     *
     * WARNING: Increasing an account's balance using this function tends to be paired with an override of the
     * {_ownerOf} function to resolve the ownership of the corresponding tokens so that balances and ownership
     * remain consistent with one another.
     */
    function _increaseBalance(address account, uint128 value) internal virtual {
        unchecked {
            _balances[account] += value;
        }
    }

    /**
     * @dev Transfers `tokenId` from its current owner to `to`, or alternatively mints (or burns) if the current owner
     * (or `to`) is the zero address. Returns the owner of the `tokenId` before the update.
     *
     * The `auth` argument is optional. If the value passed is non 0, then this function will check that
     * `auth` is either the owner of the token, or approved to operate on the token (by the owner).
     *
     * Emits a {Transfer} event.
     *
     * NOTE: If overriding this function in a way that tracks balances, see also {_increaseBalance}.
     */
    function _update(address to, uint256 tokenId, address auth) internal virtual returns (address) {
        address from = _ownerOf(tokenId);

        // Perform (optional) operator check
        if (auth != address(0)) {
            _checkAuthorized(from, auth, tokenId);
        }

        // Execute the update
        if (from != address(0)) {
            // Clear approval. No need to re-authorize or emit the Approval event
            _approve(address(0), tokenId, address(0), false);

            unchecked {
                _balances[from] -= 1;
            }
        }

        if (to != address(0)) {
            unchecked {
                _balances[to] += 1;
            }
        }

        _owners[tokenId] = to;

        emit Transfer(from, to, tokenId);

        return from;
    }

    /**
     * @dev Mints `tokenId` and transfers it to `to`.
     *
     * WARNING: Usage of this method is discouraged, use {_safeMint} whenever possible
     *
     * Requirements:
     *
     * - `tokenId` must not exist.
     * - `to` cannot be the zero address.
     *
     * Emits a {Transfer} event.
     */
    function _mint(address to, uint256 tokenId) internal {
        if (to == address(0)) {
            revert ERC721InvalidReceiver(address(0));
        }
        address previousOwner = _update(to, tokenId, address(0));
        if (previousOwner != address(0)) {
            revert ERC721InvalidSender(address(0));
        }
    }

    /**
     * @dev Mints `tokenId`, transfers it to `to` and checks for `to` acceptance.
     *
     * Requirements:
     *
     * - `tokenId` must not exist.
     * - If `to` refers to a smart contract, it must implement {IERC721Receiver-onERC721Received}, which is called upon a safe transfer.
     *
     * Emits a {Transfer} event.
     */
    function _safeMint(address to, uint256 tokenId) internal {
        _safeMint(to, tokenId, "");
    }

    /**
     * @dev Same as {xref-ERC721-_safeMint-address-uint256-}[`_safeMint`], with an additional `data` parameter which is
     * forwarded in {IERC721Receiver-onERC721Received} to contract recipients.
     */
    function _safeMint(address to, uint256 tokenId, bytes memory data) internal virtual {
        _mint(to, tokenId);
        ERC721Utils.checkOnERC721Received(_msgSender(), address(0), to, tokenId, data);
    }

    /**
     * @dev Destroys `tokenId`.
     * The approval is cleared when the token is burned.
     * This is an internal function that does not check if the sender is authorized to operate on the token.
     *
     * Requirements:
     *
     * - `tokenId` must exist.
     *
     * Emits a {Transfer} event.
     */
    function _burn(uint256 tokenId) internal {
        address previousOwner = _update(address(0), tokenId, address(0));
        if (previousOwner == address(0)) {
            revert ERC721NonexistentToken(tokenId);
        }
    }

    /**
     * @dev Transfers `tokenId` from `from` to `to`.
     *  As opposed to {transferFrom}, this imposes no restrictions on msg.sender.
     *
     * Requirements:
     *
     * - `to` cannot be the zero address.
     * - `tokenId` token must be owned by `from`.
     *
     * Emits a {Transfer} event.
     */
    function _transfer(address from, address to, uint256 tokenId) internal {
        if (to == address(0)) {
            revert ERC721InvalidReceiver(address(0));
        }
        address previousOwner = _update(to, tokenId, address(0));
        if (previousOwner == address(0)) {
            revert ERC721NonexistentToken(tokenId);
        } else if (previousOwner != from) {
            revert ERC721IncorrectOwner(from, tokenId, previousOwner);
        }
    }

    /**
     * @dev Safely transfers `tokenId` token from `from` to `to`, checking that contract recipients
     * are aware of the ERC-721 standard to prevent tokens from being forever locked.
     *
     * `data` is additional data, it has no specified format and it is sent in call to `to`.
     *
     * This internal function is like {safeTransferFrom} in the sense that it invokes
     * {IERC721Receiver-onERC721Received} on the receiver, and can be used to e.g.
     * implement alternative mechanisms to perform token transfer, such as signature-based.
     *
     * Requirements:
     *
     * - `tokenId` token must exist and be owned by `from`.
     * - `to` cannot be the zero address.
     * - `from` cannot be the zero address.
     * - If `to` refers to a smart contract, it must implement {IERC721Receiver-onERC721Received}, which is called upon a safe transfer.
     *
     * Emits a {Transfer} event.
     */
    function _safeTransfer(address from, address to, uint256 tokenId) internal {
        _safeTransfer(from, to, tokenId, "");
    }

    /**
     * @dev Same as {xref-ERC721-_safeTransfer-address-address-uint256-}[`_safeTransfer`], with an additional `data` parameter which is
     * forwarded in {IERC721Receiver-onERC721Received} to contract recipients.
     */
    function _safeTransfer(address from, address to, uint256 tokenId, bytes memory data) internal virtual {
        _transfer(from, to, tokenId);
        ERC721Utils.checkOnERC721Received(_msgSender(), from, to, tokenId, data);
    }

    /**
     * @dev Approve `to` to operate on `tokenId`
     *
     * The `auth` argument is optional. If the value passed is non 0, then this function will check that `auth` is
     * either the owner of the token, or approved to operate on all tokens held by this owner.
     *
     * Emits an {Approval} event.
     *
     * Overrides to this logic should be done to the variant with an additional `bool emitEvent` argument.
     */
    function _approve(address to, uint256 tokenId, address auth) internal {
        _approve(to, tokenId, auth, true);
    }

    /**
     * @dev Variant of `_approve` with an optional flag to enable or disable the {Approval} event. The event is not
     * emitted in the context of transfers.
     */
    function _approve(address to, uint256 tokenId, address auth, bool emitEvent) internal virtual {
        // Avoid reading the owner unless necessary
        if (emitEvent || auth != address(0)) {
            address owner = _requireOwned(tokenId);

            // We do not use _isAuthorized because single-token approvals should not be able to call approve
            if (auth != address(0) && owner != auth && !isApprovedForAll(owner, auth)) {
                revert ERC721InvalidApprover(auth);
            }

            if (emitEvent) {
                emit Approval(owner, to, tokenId);
            }
        }

        _tokenApprovals[tokenId] = to;
    }

    /**
     * @dev Approve `operator` to operate on all of `owner` tokens
     *
     * Requirements:
     * - operator can't be the address zero.
     *
     * Emits an {ApprovalForAll} event.
     */
    function _setApprovalForAll(address owner, address operator, bool approved) internal virtual {
        if (operator == address(0)) {
            revert ERC721InvalidOperator(operator);
        }
        _operatorApprovals[owner][operator] = approved;
        emit ApprovalForAll(owner, operator, approved);
    }

    /**
     * @dev Reverts if the `tokenId` doesn't have a current owner (it hasn't been minted, or it has been burned).
     * Returns the owner.
     *
     * Overrides to ownership logic should be done to {_ownerOf}.
     */
    function _requireOwned(uint256 tokenId) internal view returns (address) {
        address owner = _ownerOf(tokenId);
        if (owner == address(0)) {
            revert ERC721NonexistentToken(tokenId);
        }
        return owner;
    }
}

// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts (last updated v5.1.0) (token/ERC20/extensions/IERC20Metadata.sol)

pragma solidity ^0.8.20;

import {IERC20} from "../IERC20.sol";

/**
 * @dev Interface for the optional metadata functions from the ERC-20 standard.
 */
interface IERC20Metadata is IERC20 {
    /**
     * @dev Returns the name of the token.
     */
    function name() external view returns (string memory);

    /**
     * @dev Returns the symbol of the token.
     */
    function symbol() external view returns (string memory);

    /**
     * @dev Returns the decimals places of the token.
     */
    function decimals() external view returns (uint8);
}

// SPDX-License-Identifier: MIT

pragma solidity ^0.8.0;

import "openzeppelin-contracts/contracts/token/ERC721/extensions/IERC721Metadata.sol";

import "./ITroveManager.sol";

interface ITroveNFT is IERC721Metadata {
    function mint(address _owner, uint256 _troveId) external;
    function burn(uint256 _troveId) external;
}

// SPDX-License-Identifier: MIT

pragma solidity ^0.8.0;

import "./IActivePool.sol";
import "./IBoldToken.sol";
import "./IBorrowerOperations.sol";
import "./ICollSurplusPool.sol";
import "./IDefaultPool.sol";
import "./IHintHelpers.sol";
import "./IMultiTroveGetter.sol";
import "./ISortedTroves.sol";
import "./IStabilityPool.sol";
import "./ITroveManager.sol";
import "./ITroveNFT.sol";
import {IMetadataNFT} from "../NFTMetadata/MetadataNFT.sol";
import "./ICollateralRegistry.sol";
import "./IInterestRouter.sol";
import "./IPriceFeed.sol";

interface IAddressesRegistry {
    struct AddressVars {
        IERC20Metadata collToken;
        IBorrowerOperations borrowerOperations;
        ITroveManager troveManager;
        ITroveNFT troveNFT;
        IMetadataNFT metadataNFT;
        IStabilityPool stabilityPool;
        IPriceFeed priceFeed;
        IActivePool activePool;
        IDefaultPool defaultPool;
        address gasPoolAddress;
        ICollSurplusPool collSurplusPool;
        ISortedTroves sortedTroves;
        IInterestRouter interestRouter;
        IHintHelpers hintHelpers;
        IMultiTroveGetter multiTroveGetter;
        ICollateralRegistry collateralRegistry;
        IBoldToken boldToken;
        IWETH WETH;
    }

    function CCR() external returns (uint256);
    function SCR() external returns (uint256);
    function MCR() external returns (uint256);
    function LIQUIDATION_PENALTY_SP() external returns (uint256);
    function LIQUIDATION_PENALTY_REDISTRIBUTION() external returns (uint256);

    function collToken() external view returns (IERC20Metadata);
    function borrowerOperations() external view returns (IBorrowerOperations);
    function troveManager() external view returns (ITroveManager);
    function troveNFT() external view returns (ITroveNFT);
    function metadataNFT() external view returns (IMetadataNFT);
    function stabilityPool() external view returns (IStabilityPool);
    function priceFeed() external view returns (IPriceFeed);
    function activePool() external view returns (IActivePool);
    function defaultPool() external view returns (IDefaultPool);
    function gasPoolAddress() external view returns (address);
    function collSurplusPool() external view returns (ICollSurplusPool);
    function sortedTroves() external view returns (ISortedTroves);
    function interestRouter() external view returns (IInterestRouter);
    function hintHelpers() external view returns (IHintHelpers);
    function multiTroveGetter() external view returns (IMultiTroveGetter);
    function collateralRegistry() external view returns (ICollateralRegistry);
    function boldToken() external view returns (IBoldToken);
    function WETH() external returns (IWETH);

    function setAddresses(AddressVars memory _vars) external;
}

//SPDX-License-Identifier: MIT
pragma solidity 0.8.24;

import "lib/Solady/src/utils/SSTORE2.sol";
import "./utils/JSON.sol";

import "./utils/baseSVG.sol";
import "./utils/bauhaus.sol";

import "openzeppelin-contracts/contracts/token/ERC20/extensions/IERC20Metadata.sol";

import {ITroveManager} from "src/Interfaces/ITroveManager.sol";

interface IMetadataNFT {
    struct TroveData {
        uint256 _tokenId;
        address _owner;
        address _collToken;
        address _boldToken;
        uint256 _collAmount;
        uint256 _debtAmount;
        uint256 _interestRate;
        ITroveManager.Status _status;
    }

    function uri(TroveData memory _troveData) external view returns (string memory);
}

contract MetadataNFT is IMetadataNFT {
    FixedAssetReader public immutable assetReader;

    string public constant name = "Liquity V2 Trove";
    string public constant description = "Liquity V2 Trove position";

    constructor(FixedAssetReader _assetReader) {
        assetReader = _assetReader;
    }

    function uri(TroveData memory _troveData) public view returns (string memory) {
        string memory attr = attributes(_troveData);
        return json.formattedMetadata(name, description, renderSVGImage(_troveData), attr);
    }

    function renderSVGImage(TroveData memory _troveData) internal view returns (string memory) {
        return svg._svg(
            baseSVG._svgProps(),
            string.concat(
                baseSVG._baseElements(assetReader),
                bauhaus._bauhaus(IERC20Metadata(_troveData._collToken).symbol(), _troveData._tokenId),
                dynamicTextComponents(_troveData)
            )
        );
    }

    function attributes(TroveData memory _troveData) public pure returns (string memory) {
        //include: collateral token address, collateral amount, debt token address, debt amount, interest rate, status
        return string.concat(
            '[{"trait_type": "Collateral Token", "value": "',
            LibString.toHexString(_troveData._collToken),
            '"}, {"trait_type": "Collateral Amount", "value": "',
            LibString.toString(_troveData._collAmount),
            '"}, {"trait_type": "Debt Token", "value": "',
            LibString.toHexString(_troveData._boldToken),
            '"}, {"trait_type": "Debt Amount", "value": "',
            LibString.toString(_troveData._debtAmount),
            '"}, {"trait_type": "Interest Rate", "value": "',
            LibString.toString(_troveData._interestRate),
            '"}, {"trait_type": "Status", "value": "',
            _status2Str(_troveData._status),
            '"} ]'
        );
    }

    function dynamicTextComponents(TroveData memory _troveData) public view returns (string memory) {
        string memory id = LibString.toHexString(_troveData._tokenId);
        id = string.concat(LibString.slice(id, 0, 6), "...", LibString.slice(id, 38, 42));

        return string.concat(
            baseSVG._formattedIdEl(id),
            baseSVG._formattedAddressEl(_troveData._owner),
            baseSVG._collLogo(IERC20Metadata(_troveData._collToken).symbol(), assetReader),
            baseSVG._statusEl(_status2Str(_troveData._status)),
            baseSVG._dynamicTextEls(_troveData._debtAmount, _troveData._collAmount, _troveData._interestRate)
        );
    }

    function _status2Str(ITroveManager.Status status) internal pure returns (string memory) {
        if (status == ITroveManager.Status.active) return "Active";
        if (status == ITroveManager.Status.closedByOwner) return "Closed";
        if (status == ITroveManager.Status.closedByLiquidation) return "Liquidated";
        if (status == ITroveManager.Status.zombie) return "Below Min Debt";
        return "";
    }
}

// SPDX-License-Identifier: MIT

pragma solidity ^0.8.0;

import "./ILiquityBase.sol";
import "./ITroveNFT.sol";
import "./IBorrowerOperations.sol";
import "./IStabilityPool.sol";
import "./IBoldToken.sol";
import "./ISortedTroves.sol";
import "../Types/LatestTroveData.sol";
import "../Types/LatestBatchData.sol";

// Common interface for the Trove Manager.
interface ITroveManager is ILiquityBase {
    enum Status {
        nonExistent,
        active,
        closedByOwner,
        closedByLiquidation,
        zombie
    }

    function shutdownTime() external view returns (uint256);

    function troveNFT() external view returns (ITroveNFT);
    function stabilityPool() external view returns (IStabilityPool);
    //function boldToken() external view returns (IBoldToken);
    function sortedTroves() external view returns (ISortedTroves);
    function borrowerOperations() external view returns (IBorrowerOperations);

    function Troves(uint256 _id)
        external
        view
        returns (
            uint256 debt,
            uint256 coll,
            uint256 stake,
            Status status,
            uint64 arrayIndex,
            uint64 lastDebtUpdateTime,
            uint64 lastInterestRateAdjTime,
            uint256 annualInterestRate,
            address interestBatchManager,
            uint256 batchDebtShares
        );

    function rewardSnapshots(uint256 _id) external view returns (uint256 coll, uint256 boldDebt);

    function getTroveIdsCount() external view returns (uint256);

    function getTroveFromTroveIdsArray(uint256 _index) external view returns (uint256);

    function getCurrentICR(uint256 _troveId, uint256 _price) external view returns (uint256);

    function lastZombieTroveId() external view returns (uint256);

    function batchLiquidateTroves(uint256[] calldata _troveArray) external;

    function redeemCollateral(
        address _sender,
        uint256 _boldAmount,
        uint256 _price,
        uint256 _redemptionRate,
        uint256 _maxIterations
    ) external returns (uint256 _redemeedAmount);

    function shutdown() external;
    function urgentRedemption(uint256 _boldAmount, uint256[] calldata _troveIds, uint256 _minCollateral) external;

    function getUnbackedPortionPriceAndRedeemability() external returns (uint256, uint256, bool);

    function getLatestTroveData(uint256 _troveId) external view returns (LatestTroveData memory);
    function getTroveAnnualInterestRate(uint256 _troveId) external view returns (uint256);

    function getTroveStatus(uint256 _troveId) external view returns (Status);

    function getLatestBatchData(address _batchAddress) external view returns (LatestBatchData memory);

    // -- permissioned functions called by BorrowerOperations

    function onOpenTrove(address _owner, uint256 _troveId, TroveChange memory _troveChange, uint256 _annualInterestRate)
        external;
    function onOpenTroveAndJoinBatch(
        address _owner,
        uint256 _troveId,
        TroveChange memory _troveChange,
        address _batchAddress,
        uint256 _batchColl,
        uint256 _batchDebt
    ) external;

    // Called from `adjustZombieTrove()`
    function setTroveStatusToActive(uint256 _troveId) external;

    function onAdjustTroveInterestRate(
        uint256 _troveId,
        uint256 _newColl,
        uint256 _newDebt,
        uint256 _newAnnualInterestRate,
        TroveChange calldata _troveChange
    ) external;

    function onAdjustTrove(uint256 _troveId, uint256 _newColl, uint256 _newDebt, TroveChange calldata _troveChange)
        external;

    function onAdjustTroveInsideBatch(
        uint256 _troveId,
        uint256 _newTroveColl,
        uint256 _newTroveDebt,
        TroveChange memory _troveChange,
        address _batchAddress,
        uint256 _newBatchColl,
        uint256 _newBatchDebt
    ) external;

    function onApplyTroveInterest(
        uint256 _troveId,
        uint256 _newTroveColl,
        uint256 _newTroveDebt,
        address _batchAddress,
        uint256 _newBatchColl,
        uint256 _newBatchDebt,
        TroveChange calldata _troveChange
    ) external;

    function onCloseTrove(
        uint256 _troveId,
        TroveChange memory _troveChange, // decrease vars: entire, with interest, batch fee and redistribution
        address _batchAddress,
        uint256 _newBatchColl,
        uint256 _newBatchDebt // entire, with interest and batch fee
    ) external;

    // -- batches --
    function onRegisterBatchManager(address _batchAddress, uint256 _annualInterestRate, uint256 _annualFee) external;
    function onLowerBatchManagerAnnualFee(
        address _batchAddress,
        uint256 _newColl,
        uint256 _newDebt,
        uint256 _newAnnualManagementFee
    ) external;
    function onSetBatchManagerAnnualInterestRate(
        address _batchAddress,
        uint256 _newColl,
        uint256 _newDebt,
        uint256 _newAnnualInterestRate,
        uint256 _upfrontFee // needed by BatchUpdated event
    ) external;

    struct OnSetInterestBatchManagerParams {
        uint256 troveId;
        uint256 troveColl; // entire, with redistribution
        uint256 troveDebt; // entire, with interest, batch fee and redistribution
        TroveChange troveChange;
        address newBatchAddress;
        uint256 newBatchColl; // updated collateral for new batch manager
        uint256 newBatchDebt; // updated debt for new batch manager
    }

    function onSetInterestBatchManager(OnSetInterestBatchManagerParams calldata _params) external;
    function onRemoveFromBatch(
        uint256 _troveId,
        uint256 _newTroveColl, // entire, with redistribution
        uint256 _newTroveDebt, // entire, with interest, batch fee and redistribution
        TroveChange memory _troveChange,
        address _batchAddress,
        uint256 _newBatchColl,
        uint256 _newBatchDebt, // entire, with interest and batch fee
        uint256 _newAnnualInterestRate
    ) external;

    // -- end of permissioned functions --
}

// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts (last updated v5.1.0) (token/ERC721/IERC721.sol)

pragma solidity ^0.8.20;

import {IERC165} from "../../utils/introspection/IERC165.sol";

/**
 * @dev Required interface of an ERC-721 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 ERC-721 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 ERC-721
     * 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 address zero.
     *
     * 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 v5.0.0) (token/ERC721/extensions/IERC721Metadata.sol)

pragma solidity ^0.8.20;

import {IERC721} from "../IERC721.sol";

/**
 * @title ERC-721 Non-Fungible Token Standard, optional metadata extension
 * @dev See https://eips.ethereum.org/EIPS/eip-721
 */
interface IERC721Metadata is IERC721 {
    /**
     * @dev Returns the token collection name.
     */
    function name() external view returns (string memory);

    /**
     * @dev Returns the token collection symbol.
     */
    function symbol() external view returns (string memory);

    /**
     * @dev Returns the Uniform Resource Identifier (URI) for `tokenId` token.
     */
    function tokenURI(uint256 tokenId) external view returns (string memory);
}

// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts (last updated v5.1.0) (token/ERC721/utils/ERC721Utils.sol)

pragma solidity ^0.8.20;

import {IERC721Receiver} from "../IERC721Receiver.sol";
import {IERC721Errors} from "../../../interfaces/draft-IERC6093.sol";

/**
 * @dev Library that provide common ERC-721 utility functions.
 *
 * See https://eips.ethereum.org/EIPS/eip-721[ERC-721].
 *
 * _Available since v5.1._
 */
library ERC721Utils {
    /**
     * @dev Performs an acceptance check for the provided `operator` by calling {IERC721-onERC721Received}
     * on the `to` address. The `operator` is generally the address that initiated the token transfer (i.e. `msg.sender`).
     *
     * The acceptance call is not executed and treated as a no-op if the target address doesn't contain code (i.e. an EOA).
     * Otherwise, the recipient must implement {IERC721Receiver-onERC721Received} and return the acceptance magic value to accept
     * the transfer.
     */
    function checkOnERC721Received(
        address operator,
        address from,
        address to,
        uint256 tokenId,
        bytes memory data
    ) internal {
        if (to.code.length > 0) {
            try IERC721Receiver(to).onERC721Received(operator, from, tokenId, data) returns (bytes4 retval) {
                if (retval != IERC721Receiver.onERC721Received.selector) {
                    // Token rejected
                    revert IERC721Errors.ERC721InvalidReceiver(to);
                }
            } catch (bytes memory reason) {
                if (reason.length == 0) {
                    // non-IERC721Receiver implementer
                    revert IERC721Errors.ERC721InvalidReceiver(to);
                } else {
                    assembly ("memory-safe") {
                        revert(add(32, reason), mload(reason))
                    }
                }
            }
        }
    }
}

// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts (last updated v5.0.1) (utils/Context.sol)

pragma solidity ^0.8.20;

/**
 * @dev Provides information about the current execution context, including the
 * sender of the transaction and its data. While these are generally available
 * via msg.sender and msg.data, they should not be accessed in such a direct
 * manner, since when dealing with meta-transactions the account sending and
 * paying for execution may not be the actual sender (as far as an application
 * is concerned).
 *
 * This contract is only required for intermediate, library-like contracts.
 */
abstract contract Context {
    function _msgSender() internal view virtual returns (address) {
        return msg.sender;
    }

    function _msgData() internal view virtual returns (bytes calldata) {
        return msg.data;
    }

    function _contextSuffixLength() internal view virtual returns (uint256) {
        return 0;
    }
}

// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts (last updated v5.1.0) (utils/Strings.sol)

pragma solidity ^0.8.20;

import {Math} from "./math/Math.sol";
import {SignedMath} from "./math/SignedMath.sol";

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

    /**
     * @dev The `value` string doesn't fit in the specified `length`.
     */
    error StringsInsufficientHexLength(uint256 value, uint256 length);

    /**
     * @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;
            assembly ("memory-safe") {
                ptr := add(buffer, add(32, length))
            }
            while (true) {
                ptr--;
                assembly ("memory-safe") {
                    mstore8(ptr, byte(mod(value, 10), HEX_DIGITS))
                }
                value /= 10;
                if (value == 0) break;
            }
            return buffer;
        }
    }

    /**
     * @dev Converts a `int256` to its ASCII `string` decimal representation.
     */
    function toStringSigned(int256 value) internal pure returns (string memory) {
        return string.concat(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) {
        uint256 localValue = value;
        bytes memory buffer = new bytes(2 * length + 2);
        buffer[0] = "0";
        buffer[1] = "x";
        for (uint256 i = 2 * length + 1; i > 1; --i) {
            buffer[i] = HEX_DIGITS[localValue & 0xf];
            localValue >>= 4;
        }
        if (localValue != 0) {
            revert StringsInsufficientHexLength(value, length);
        }
        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 Converts an `address` with fixed length of 20 bytes to its checksummed ASCII `string` hexadecimal
     * representation, according to EIP-55.
     */
    function toChecksumHexString(address addr) internal pure returns (string memory) {
        bytes memory buffer = bytes(toHexString(addr));

        // hash the hex part of buffer (skip length + 2 bytes, length 40)
        uint256 hashValue;
        assembly ("memory-safe") {
            hashValue := shr(96, keccak256(add(buffer, 0x22), 40))
        }

        for (uint256 i = 41; i > 1; --i) {
            // possible values for buffer[i] are 48 (0) to 57 (9) and 97 (a) to 102 (f)
            if (hashValue & 0xf > 7 && uint8(buffer[i]) > 96) {
                // case shift by xoring with 0x20
                buffer[i] ^= 0x20;
            }
            hashValue >>= 4;
        }
        return string(buffer);
    }

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

// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts (last updated v5.1.0) (utils/introspection/ERC165.sol)

pragma solidity ^0.8.20;

import {IERC165} from "./IERC165.sol";

/**
 * @dev Implementation of the {IERC165} interface.
 *
 * Contracts that want to implement ERC-165 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);
 * }
 * ```
 */
abstract contract ERC165 is IERC165 {
    /**
     * @dev See {IERC165-supportsInterface}.
     */
    function supportsInterface(bytes4 interfaceId) public view virtual returns (bool) {
        return interfaceId == type(IERC165).interfaceId;
    }
}

// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts (last updated v5.1.0) (interfaces/draft-IERC6093.sol)
pragma solidity ^0.8.20;

/**
 * @dev Standard ERC-20 Errors
 * Interface of the https://eips.ethereum.org/EIPS/eip-6093[ERC-6093] custom errors for ERC-20 tokens.
 */
interface IERC20Errors {
    /**
     * @dev Indicates an error related to the current `balance` of a `sender`. Used in transfers.
     * @param sender Address whose tokens are being transferred.
     * @param balance Current balance for the interacting account.
     * @param needed Minimum amount required to perform a transfer.
     */
    error ERC20InsufficientBalance(address sender, uint256 balance, uint256 needed);

    /**
     * @dev Indicates a failure with the token `sender`. Used in transfers.
     * @param sender Address whose tokens are being transferred.
     */
    error ERC20InvalidSender(address sender);

    /**
     * @dev Indicates a failure with the token `receiver`. Used in transfers.
     * @param receiver Address to which tokens are being transferred.
     */
    error ERC20InvalidReceiver(address receiver);

    /**
     * @dev Indicates a failure with the `spender`’s `allowance`. Used in transfers.
     * @param spender Address that may be allowed to operate on tokens without being their owner.
     * @param allowance Amount of tokens a `spender` is allowed to operate with.
     * @param needed Minimum amount required to perform a transfer.
     */
    error ERC20InsufficientAllowance(address spender, uint256 allowance, uint256 needed);

    /**
     * @dev Indicates a failure with the `approver` of a token to be approved. Used in approvals.
     * @param approver Address initiating an approval operation.
     */
    error ERC20InvalidApprover(address approver);

    /**
     * @dev Indicates a failure with the `spender` to be approved. Used in approvals.
     * @param spender Address that may be allowed to operate on tokens without being their owner.
     */
    error ERC20InvalidSpender(address spender);
}

/**
 * @dev Standard ERC-721 Errors
 * Interface of the https://eips.ethereum.org/EIPS/eip-6093[ERC-6093] custom errors for ERC-721 tokens.
 */
interface IERC721Errors {
    /**
     * @dev Indicates that an address can't be an owner. For example, `address(0)` is a forbidden owner in ERC-20.
     * Used in balance queries.
     * @param owner Address of the current owner of a token.
     */
    error ERC721InvalidOwner(address owner);

    /**
     * @dev Indicates a `tokenId` whose `owner` is the zero address.
     * @param tokenId Identifier number of a token.
     */
    error ERC721NonexistentToken(uint256 tokenId);

    /**
     * @dev Indicates an error related to the ownership over a particular token. Used in transfers.
     * @param sender Address whose tokens are being transferred.
     * @param tokenId Identifier number of a token.
     * @param owner Address of the current owner of a token.
     */
    error ERC721IncorrectOwner(address sender, uint256 tokenId, address owner);

    /**
     * @dev Indicates a failure with the token `sender`. Used in transfers.
     * @param sender Address whose tokens are being transferred.
     */
    error ERC721InvalidSender(address sender);

    /**
     * @dev Indicates a failure with the token `receiver`. Used in transfers.
     * @param receiver Address to which tokens are being transferred.
     */
    error ERC721InvalidReceiver(address receiver);

    /**
     * @dev Indicates a failure with the `operator`’s approval. Used in transfers.
     * @param operator Address that may be allowed to operate on tokens without being their owner.
     * @param tokenId Identifier number of a token.
     */
    error ERC721InsufficientApproval(address operator, uint256 tokenId);

    /**
     * @dev Indicates a failure with the `approver` of a token to be approved. Used in approvals.
     * @param approver Address initiating an approval operation.
     */
    error ERC721InvalidApprover(address approver);

    /**
     * @dev Indicates a failure with the `operator` to be approved. Used in approvals.
     * @param operator Address that may be allowed to operate on tokens without being their owner.
     */
    error ERC721InvalidOperator(address operator);
}

/**
 * @dev Standard ERC-1155 Errors
 * Interface of the https://eips.ethereum.org/EIPS/eip-6093[ERC-6093] custom errors for ERC-1155 tokens.
 */
interface IERC1155Errors {
    /**
     * @dev Indicates an error related to the current `balance` of a `sender`. Used in transfers.
     * @param sender Address whose tokens are being transferred.
     * @param balance Current balance for the interacting account.
     * @param needed Minimum amount required to perform a transfer.
     * @param tokenId Identifier number of a token.
     */
    error ERC1155InsufficientBalance(address sender, uint256 balance, uint256 needed, uint256 tokenId);

    /**
     * @dev Indicates a failure with the token `sender`. Used in transfers.
     * @param sender Address whose tokens are being transferred.
     */
    error ERC1155InvalidSender(address sender);

    /**
     * @dev Indicates a failure with the token `receiver`. Used in transfers.
     * @param receiver Address to which tokens are being transferred.
     */
    error ERC1155InvalidReceiver(address receiver);

    /**
     * @dev Indicates a failure with the `operator`’s approval. Used in transfers.
     * @param operator Address that may be allowed to operate on tokens without being their owner.
     * @param owner Address of the current owner of a token.
     */
    error ERC1155MissingApprovalForAll(address operator, address owner);

    /**
     * @dev Indicates a failure with the `approver` of a token to be approved. Used in approvals.
     * @param approver Address initiating an approval operation.
     */
    error ERC1155InvalidApprover(address approver);

    /**
     * @dev Indicates a failure with the `operator` to be approved. Used in approvals.
     * @param operator Address that may be allowed to operate on tokens without being their owner.
     */
    error ERC1155InvalidOperator(address operator);

    /**
     * @dev Indicates an array length mismatch between ids and values in a safeBatchTransferFrom operation.
     * Used in batch transfers.
     * @param idsLength Length of the array of token identifiers
     * @param valuesLength Length of the array of token amounts
     */
    error ERC1155InvalidArrayLength(uint256 idsLength, uint256 valuesLength);
}

// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts (last updated v5.1.0) (token/ERC20/IERC20.sol)

pragma solidity ^0.8.20;

/**
 * @dev Interface of the ERC-20 standard as defined in the ERC.
 */
interface IERC20 {
    /**
     * @dev Emitted when `value` tokens are moved from one account (`from`) to
     * another (`to`).
     *
     * Note that `value` may be zero.
     */
    event Transfer(address indexed from, address indexed to, uint256 value);

    /**
     * @dev Emitted when the allowance of a `spender` for an `owner` is set by
     * a call to {approve}. `value` is the new allowance.
     */
    event Approval(address indexed owner, address indexed spender, uint256 value);

    /**
     * @dev Returns the value of tokens in existence.
     */
    function totalSupply() external view returns (uint256);

    /**
     * @dev Returns the value of tokens owned by `account`.
     */
    function balanceOf(address account) external view returns (uint256);

    /**
     * @dev Moves a `value` amount of tokens from the caller's account to `to`.
     *
     * Returns a boolean value indicating whether the operation succeeded.
     *
     * Emits a {Transfer} event.
     */
    function transfer(address to, uint256 value) external returns (bool);

    /**
     * @dev Returns the remaining number of tokens that `spender` will be
     * allowed to spend on behalf of `owner` through {transferFrom}. This is
     * zero by default.
     *
     * This value changes when {approve} or {transferFrom} are called.
     */
    function allowance(address owner, address spender) external view returns (uint256);

    /**
     * @dev Sets a `value` amount of tokens as the allowance of `spender` over the
     * caller's tokens.
     *
     * Returns a boolean value indicating whether the operation succeeded.
     *
     * IMPORTANT: Beware that changing an allowance with this method brings the risk
     * that someone may use both the old and the new allowance by unfortunate
     * transaction ordering. One possible solution to mitigate this race
     * condition is to first reduce the spender's allowance to 0 and set the
     * desired value afterwards:
     * https://github.com/ethereum/EIPs/issues/20#issuecomment-263524729
     *
     * Emits an {Approval} event.
     */
    function approve(address spender, uint256 value) external returns (bool);

    /**
     * @dev Moves a `value` amount of tokens from `from` to `to` using the
     * allowance mechanism. `value` is then deducted from the caller's
     * allowance.
     *
     * Returns a boolean value indicating whether the operation succeeded.
     *
     * Emits a {Transfer} event.
     */
    function transferFrom(address from, address to, uint256 value) external returns (bool);
}

// SPDX-License-Identifier: MIT

pragma solidity ^0.8.0;

import "./IInterestRouter.sol";
import "./IBoldRewardsReceiver.sol";
import "../Types/TroveChange.sol";

interface IActivePool {
    function defaultPoolAddress() external view returns (address);
    function borrowerOperationsAddress() external view returns (address);
    function troveManagerAddress() external view returns (address);
    function interestRouter() external view returns (IInterestRouter);
    // We avoid IStabilityPool here in order to prevent creating a dependency cycle that would break flattening
    function stabilityPool() external view returns (IBoldRewardsReceiver);

    function getCollBalance() external view returns (uint256);
    function getBoldDebt() external view returns (uint256);
    function lastAggUpdateTime() external view returns (uint256);
    function aggRecordedDebt() external view returns (uint256);
    function aggWeightedDebtSum() external view returns (uint256);
    function aggBatchManagementFees() external view returns (uint256);
    function aggWeightedBatchManagementFeeSum() external view returns (uint256);
    function calcPendingAggInterest() external view returns (uint256);
    function calcPendingSPYield() external view returns (uint256);
    function calcPendingAggBatchManagementFee() external view returns (uint256);
    function getNewApproxAvgInterestRateFromTroveChange(TroveChange calldata _troveChange)
        external
        view
        returns (uint256);

    function mintAggInterest() external;
    function mintAggInterestAndAccountForTroveChange(TroveChange calldata _troveChange, address _batchManager)
        external;
    function mintBatchManagementFeeAndAccountForChange(TroveChange calldata _troveChange, address _batchAddress)
        external;

    function setShutdownFlag() external;
    function hasBeenShutDown() external view returns (bool);
    function shutdownTime() external view returns (uint256);

    function sendColl(address _account, uint256 _amount) external;
    function sendCollToDefaultPool(uint256 _amount) external;
    function receiveColl(uint256 _amount) external;
    function accountForReceivedColl(uint256 _amount) external;
}

// SPDX-License-Identifier: MIT

pragma solidity ^0.8.0;

import {IERC20Metadata} from "openzeppelin-contracts/contracts/token/ERC20/extensions/IERC20Metadata.sol";
import {IERC5267} from "openzeppelin-contracts/contracts/interfaces/IERC5267.sol";

interface IBoldToken is IERC20Metadata, IERC5267 {
    function setBranchAddresses(
        address _troveManagerAddress,
        address _stabilityPoolAddress,
        address _borrowerOperationsAddress,
        address _activePoolAddress
    ) external;

    function setCollateralRegistry(address _collateralRegistryAddress) external;

    function mint(address _account, uint256 _amount) external;

    function burn(address _account, uint256 _amount) external;

    function sendToPool(address _sender, address poolAddress, uint256 _amount) external;

    function returnFromPool(address poolAddress, address user, uint256 _amount) external;
}

// SPDX-License-Identifier: MIT

pragma solidity ^0.8.0;

import "./ILiquityBase.sol";
import "./IAddRemoveManagers.sol";
import "./IBoldToken.sol";
import "./IPriceFeed.sol";
import "./ISortedTroves.sol";
import "./ITroveManager.sol";
import "./IWETH.sol";

// Common interface for the Borrower Operations.
interface IBorrowerOperations is ILiquityBase, IAddRemoveManagers {
    function CCR() external view returns (uint256);
    function MCR() external view returns (uint256);
    function SCR() external view returns (uint256);

    function openTrove(
        address _owner,
        uint256 _ownerIndex,
        uint256 _ETHAmount,
        uint256 _boldAmount,
        uint256 _upperHint,
        uint256 _lowerHint,
        uint256 _annualInterestRate,
        uint256 _maxUpfrontFee,
        address _addManager,
        address _removeManager,
        address _receiver
    ) external returns (uint256);

    struct OpenTroveAndJoinInterestBatchManagerParams {
        address owner;
        uint256 ownerIndex;
        uint256 collAmount;
        uint256 boldAmount;
        uint256 upperHint;
        uint256 lowerHint;
        address interestBatchManager;
        uint256 maxUpfrontFee;
        address addManager;
        address removeManager;
        address receiver;
    }

    function openTroveAndJoinInterestBatchManager(OpenTroveAndJoinInterestBatchManagerParams calldata _params)
        external
        returns (uint256);

    function addColl(uint256 _troveId, uint256 _ETHAmount) external;

    function withdrawColl(uint256 _troveId, uint256 _amount) external;

    function withdrawBold(uint256 _troveId, uint256 _amount, uint256 _maxUpfrontFee) external;

    function repayBold(uint256 _troveId, uint256 _amount) external;

    function closeTrove(uint256 _troveId) external;

    function adjustTrove(
        uint256 _troveId,
        uint256 _collChange,
        bool _isCollIncrease,
        uint256 _debtChange,
        bool isDebtIncrease,
        uint256 _maxUpfrontFee
    ) external;

    function adjustZombieTrove(
        uint256 _troveId,
        uint256 _collChange,
        bool _isCollIncrease,
        uint256 _boldChange,
        bool _isDebtIncrease,
        uint256 _upperHint,
        uint256 _lowerHint,
        uint256 _maxUpfrontFee
    ) external;

    function adjustTroveInterestRate(
        uint256 _troveId,
        uint256 _newAnnualInterestRate,
        uint256 _upperHint,
        uint256 _lowerHint,
        uint256 _maxUpfrontFee
    ) external;

    function applyPendingDebt(uint256 _troveId, uint256 _lowerHint, uint256 _upperHint) external;

    function onLiquidateTrove(uint256 _troveId) external;

    function claimCollateral() external;

    function hasBeenShutDown() external view returns (bool);
    function shutdown() external;
    function shutdownFromOracleFailure() external;

    function checkBatchManagerExists(address _batchMananger) external view returns (bool);

    // -- individual delegation --
    struct InterestIndividualDelegate {
        address account;
        uint128 minInterestRate;
        uint128 maxInterestRate;
        uint256 minInterestRateChangePeriod;
    }

    function getInterestIndividualDelegateOf(uint256 _troveId)
        external
        view
        returns (InterestIndividualDelegate memory);
    function setInterestIndividualDelegate(
        uint256 _troveId,
        address _delegate,
        uint128 _minInterestRate,
        uint128 _maxInterestRate,
        // only needed if trove was previously in a batch:
        uint256 _newAnnualInterestRate,
        uint256 _upperHint,
        uint256 _lowerHint,
        uint256 _maxUpfrontFee,
        uint256 _minInterestRateChangePeriod
    ) external;
    function removeInterestIndividualDelegate(uint256 _troveId) external;

    // -- batches --
    struct InterestBatchManager {
        uint128 minInterestRate;
        uint128 maxInterestRate;
        uint256 minInterestRateChangePeriod;
    }

    function registerBatchManager(
        uint128 minInterestRate,
        uint128 maxInterestRate,
        uint128 currentInterestRate,
        uint128 fee,
        uint128 minInterestRateChangePeriod
    ) external;
    function lowerBatchManagementFee(uint256 _newAnnualFee) external;
    function setBatchManagerAnnualInterestRate(
        uint128 _newAnnualInterestRate,
        uint256 _upperHint,
        uint256 _lowerHint,
        uint256 _maxUpfrontFee
    ) external;
    function interestBatchManagerOf(uint256 _troveId) external view returns (address);
    function getInterestBatchManager(address _account) external view returns (InterestBatchManager memory);
    function setInterestBatchManager(
        uint256 _troveId,
        address _newBatchManager,
        uint256 _upperHint,
        uint256 _lowerHint,
        uint256 _maxUpfrontFee
    ) external;
    function removeFromBatch(
        uint256 _troveId,
        uint256 _newAnnualInterestRate,
        uint256 _upperHint,
        uint256 _lowerHint,
        uint256 _maxUpfrontFee
    ) external;
    function switchBatchManager(
        uint256 _troveId,
        uint256 _removeUpperHint,
        uint256 _removeLowerHint,
        address _newBatchManager,
        uint256 _addUpperHint,
        uint256 _addLowerHint,
        uint256 _maxUpfrontFee
    ) external;
}

// SPDX-License-Identifier: MIT

pragma solidity ^0.8.0;

interface ICollSurplusPool {
    function getCollBalance() external view returns (uint256);

    function getCollateral(address _account) external view returns (uint256);

    function accountSurplus(address _account, uint256 _amount) external;

    function claimColl(address _account) external;
}

// SPDX-License-Identifier: MIT

pragma solidity ^0.8.0;

interface IDefaultPool {
    function troveManagerAddress() external view returns (address);
    function activePoolAddress() external view returns (address);
    // --- Functions ---
    function getCollBalance() external view returns (uint256);
    function getBoldDebt() external view returns (uint256);
    function sendCollToActivePool(uint256 _amount) external;
    function receiveColl(uint256 _amount) external;

    function increaseBoldDebt(uint256 _amount) external;
    function decreaseBoldDebt(uint256 _amount) external;
}

// SPDX-License-Identifier: MIT

pragma solidity ^0.8.0;

interface IHintHelpers {
    function getApproxHint(uint256 _collIndex, uint256 _interestRate, uint256 _numTrials, uint256 _inputRandomSeed)
        external
        view
        returns (uint256 hintId, uint256 diff, uint256 latestRandomSeed);

    function predictOpenTroveUpfrontFee(uint256 _collIndex, uint256 _borrowedAmount, uint256 _interestRate)
        external
        view
        returns (uint256);

    function predictAdjustInterestRateUpfrontFee(uint256 _collIndex, uint256 _troveId, uint256 _newInterestRate)
        external
        view
        returns (uint256);

    function forcePredictAdjustInterestRateUpfrontFee(uint256 _collIndex, uint256 _troveId, uint256 _newInterestRate)
        external
        view
        returns (uint256);

    function predictAdjustTroveUpfrontFee(uint256 _collIndex, uint256 _troveId, uint256 _debtIncrease)
        external
        view
        returns (uint256);

    function predictAdjustBatchInterestRateUpfrontFee(
        uint256 _collIndex,
        address _batchAddress,
        uint256 _newInterestRate
    ) external view returns (uint256);

    function predictJoinBatchInterestRateUpfrontFee(uint256 _collIndex, uint256 _troveId, address _batchAddress)
        external
        view
        returns (uint256);
}

// SPDX-License-Identifier: MIT

pragma solidity ^0.8.0;

interface IMultiTroveGetter {
    struct CombinedTroveData {
        uint256 id;
        uint256 debt;
        uint256 coll;
        uint256 stake;
        uint256 annualInterestRate;
        uint256 lastDebtUpdateTime;
        uint256 lastInterestRateAdjTime;
        address interestBatchManager;
        uint256 batchDebtShares;
        uint256 batchCollShares;
        uint256 snapshotETH;
        uint256 snapshotBoldDebt;
    }

    struct DebtPerInterestRate {
        address interestBatchManager;
        uint256 interestRate;
        uint256 debt;
    }

    function getMultipleSortedTroves(uint256 _collIndex, int256 _startIdx, uint256 _count)
        external
        view
        returns (CombinedTroveData[] memory _troves);

    function getDebtPerInterestRateAscending(uint256 _collIndex, uint256 _startId, uint256 _maxIterations)
        external
        view
        returns (DebtPerInterestRate[] memory, uint256 currId);
}

// SPDX-License-Identifier: MIT

pragma solidity ^0.8.0;

import "./ITroveManager.sol";
import {BatchId, BATCH_ID_ZERO} from "../Types/BatchId.sol";

interface ISortedTroves {
    // -- Mutating functions (permissioned) --
    function insert(uint256 _id, uint256 _annualInterestRate, uint256 _prevId, uint256 _nextId) external;
    function insertIntoBatch(
        uint256 _troveId,
        BatchId _batchId,
        uint256 _annualInterestRate,
        uint256 _prevId,
        uint256 _nextId
    ) external;

    function remove(uint256 _id) external;
    function removeFromBatch(uint256 _id) external;

    function reInsert(uint256 _id, uint256 _newAnnualInterestRate, uint256 _prevId, uint256 _nextId) external;
    function reInsertBatch(BatchId _id, uint256 _newAnnualInterestRate, uint256 _prevId, uint256 _nextId) external;

    // -- View functions --

    function contains(uint256 _id) external view returns (bool);
    function isBatchedNode(uint256 _id) external view returns (bool);
    function isEmptyBatch(BatchId _id) external view returns (bool);

    function isEmpty() external view returns (bool);
    function getSize() external view returns (uint256);

    function getFirst() external view returns (uint256);
    function getLast() external view returns (uint256);
    function getNext(uint256 _id) external view returns (uint256);
    function getPrev(uint256 _id) external view returns (uint256);

    function validInsertPosition(uint256 _annualInterestRate, uint256 _prevId, uint256 _nextId)
        external
        view
        returns (bool);
    function findInsertPosition(uint256 _annualInterestRate, uint256 _prevId, uint256 _nextId)
        external
        view
        returns (uint256, uint256);

    // Public state variable getters
    function borrowerOperationsAddress() external view returns (address);
    function troveManager() external view returns (ITroveManager);
    function size() external view returns (uint256);
    function nodes(uint256 _id) external view returns (uint256 nextId, uint256 prevId, BatchId batchId, bool exists);
    function batches(BatchId _id) external view returns (uint256 head, uint256 tail);
}

// SPDX-License-Identifier: MIT

pragma solidity ^0.8.0;

import "./IActivePool.sol";
import "./ILiquityBase.sol";
import "./IBoldToken.sol";
import "./ITroveManager.sol";
import "./IBoldRewardsReceiver.sol";

/*
 * The Stability Pool holds Bold tokens deposited by Stability Pool depositors.
 *
 * When a trove is liquidated, then depending on system conditions, some of its Bold debt gets offset with
 * Bold in the Stability Pool:  that is, the offset debt evaporates, and an equal amount of Bold tokens in the Stability Pool is burned.
 *
 * Thus, a liquidation causes each depositor to receive a Bold loss, in proportion to their deposit as a share of total deposits.
 * They also receive an Coll gain, as the collateral of the liquidated trove is distributed among Stability depositors,
 * in the same proportion.
 *
 * When a liquidation occurs, it depletes every deposit by the same fraction: for example, a liquidation that depletes 40%
 * of the total Bold in the Stability Pool, depletes 40% of each deposit.
 *
 * A deposit that has experienced a series of liquidations is termed a "compounded deposit": each liquidation depletes the deposit,
 * multiplying it by some factor in range ]0,1[
 *
 * Please see the implementation spec in the proof document, which closely follows on from the compounded deposit / Coll gain derivations:
 * https://github.com/liquity/liquity/blob/master/papers/Scalable_Reward_Distribution_with_Compounding_Stakes.pdf
 *
*/
interface IStabilityPool is ILiquityBase, IBoldRewardsReceiver {
    function boldToken() external view returns (IBoldToken);
    function troveManager() external view returns (ITroveManager);

    /*  provideToSP():
    * - Calculates depositor's Coll gain
    * - Calculates the compounded deposit
    * - Increases deposit, and takes new snapshots of accumulators P and S
    * - Sends depositor's accumulated Coll gains to depositor
    */
    function provideToSP(uint256 _amount, bool _doClaim) external;

    /*  withdrawFromSP():
    * - Calculates depositor's Coll gain
    * - Calculates the compounded deposit
    * - Sends the requested BOLD withdrawal to depositor
    * - (If _amount > userDeposit, the user withdraws all of their compounded deposit)
    * - Decreases deposit by withdrawn amount and takes new snapshots of accumulators P and S
    */
    function withdrawFromSP(uint256 _amount, bool doClaim) external;

    function claimAllCollGains() external;

    /*
     * Initial checks:
     * - Caller is TroveManager
     * ---
     * Cancels out the specified debt against the Bold contained in the Stability Pool (as far as possible)
     * and transfers the Trove's collateral from ActivePool to StabilityPool.
     * Only called by liquidation functions in the TroveManager.
     */
    function offset(uint256 _debt, uint256 _coll) external;

    function deposits(address _depositor) external view returns (uint256 initialValue);
    function stashedColl(address _depositor) external view returns (uint256);

    /*
     * Returns the total amount of Coll held by the pool, accounted in an internal variable instead of `balance`,
     * to exclude edge cases like Coll received from a self-destruct.
     */
    function getCollBalance() external view returns (uint256);

    /*
     * Returns Bold held in the pool. Changes when users deposit/withdraw, and when Trove debt is offset.
     */
    function getTotalBoldDeposits() external view returns (uint256);

    function getYieldGainsOwed() external view returns (uint256);
    function getYieldGainsPending() external view returns (uint256);

    /*
     * Calculates the Coll gain earned by the deposit since its last snapshots were taken.
     */
    function getDepositorCollGain(address _depositor) external view returns (uint256);

    /*
     * Calculates the BOLD yield gain earned by the deposit since its last snapshots were taken.
     */
    function getDepositorYieldGain(address _depositor) external view returns (uint256);

    /*
     * Calculates what `getDepositorYieldGain` will be if interest is minted now.
     */
    function getDepositorYieldGainWithPending(address _depositor) external view returns (uint256);

    /*
     * Return the user's compounded deposit.
     */
    function getCompoundedBoldDeposit(address _depositor) external view returns (uint256);

    function epochToScaleToS(uint128 _epoch, uint128 _scale) external view returns (uint256);

    function epochToScaleToB(uint128 _epoch, uint128 _scale) external view returns (uint256);

    function P() external view returns (uint256);
    function currentScale() external view returns (uint128);
    function currentEpoch() external view returns (uint128);
}

// SPDX-License-Identifier: MIT

pragma solidity ^0.8.0;

import "openzeppelin-contracts/contracts/token/ERC20/extensions/IERC20Metadata.sol";
import "./IBoldToken.sol";
import "./ITroveManager.sol";

interface ICollateralRegistry {
    function baseRate() external view returns (uint256);
    function lastFeeOperationTime() external view returns (uint256);

    function redeemCollateral(uint256 _boldamount, uint256 _maxIterations, uint256 _maxFeePercentage) external;
    // getters
    function totalCollaterals() external view returns (uint256);
    function getToken(uint256 _index) external view returns (IERC20Metadata);
    function getTroveManager(uint256 _index) external view returns (ITroveManager);
    function boldToken() external view returns (IBoldToken);

    function getRedemptionRate() external view returns (uint256);
    function getRedemptionRateWithDecay() external view returns (uint256);
    function getRedemptionRateForRedeemedAmount(uint256 _redeemAmount) external view returns (uint256);

    function getRedemptionFeeWithDecay(uint256 _ETHDrawn) external view returns (uint256);
    function getEffectiveRedemptionFeeInBold(uint256 _redeemAmount) external view returns (uint256);
}

// SPDX-License-Identifier: MIT

pragma solidity ^0.8.0;

interface IInterestRouter {
// Currently the Interest Router doesn’t need any specific function
}

// SPDX-License-Identifier: MIT

pragma solidity ^0.8.0;

interface IPriceFeed {
    function fetchPrice() external returns (uint256, bool);
    function fetchRedemptionPrice() external returns (uint256, bool);
    function lastGoodPrice() external view returns (uint256);
    function setAddresses(address _borrowerOperationsAddress) external;
}

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

/// @notice Read and write to persistent storage at a fraction of the cost.
/// @author Solady (https://github.com/vectorized/solady/blob/main/src/utils/SSTORE2.sol)
/// @author Saw-mon-and-Natalie (https://github.com/Saw-mon-and-Natalie)
/// @author Modified from Solmate (https://github.com/transmissions11/solmate/blob/main/src/utils/SSTORE2.sol)
/// @author Modified from 0xSequence (https://github.com/0xSequence/sstore2/blob/master/contracts/SSTORE2.sol)
/// @author Modified from SSTORE3 (https://github.com/Philogy/sstore3)
library SSTORE2 {
    /*´:°•.°+.*•´.*:˚.°*.˚•´.°:°•.°•.*•´.*:˚.°*.˚•´.°:°•.°+.*•´.*:*/
    /*                         CONSTANTS                          */
    /*.•°:°.´+˚.*°.˚:*.´•*.+°.•°:´*.´•*.•°.•°:°.´:•˚°.*°.˚:*.´+°.•*/

    /// @dev The proxy initialization code.
    uint256 private constant _CREATE3_PROXY_INITCODE = 0x67363d3d37363d34f03d5260086018f3;

    /// @dev Hash of the `_CREATE3_PROXY_INITCODE`.
    /// Equivalent to `keccak256(abi.encodePacked(hex"67363d3d37363d34f03d5260086018f3"))`.
    bytes32 internal constant CREATE3_PROXY_INITCODE_HASH =
        0x21c35dbe1b344a2488cf3321d6ce542f8e9f305544ff09e4993a62319a497c1f;

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

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

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

    /// @dev Writes `data` into the bytecode of a storage contract and returns its address.
    function write(bytes memory data) internal returns (address pointer) {
        /// @solidity memory-safe-assembly
        assembly {
            let n := mload(data) // Let `l` be `n + 1`. +1 as we prefix a STOP opcode.
            /**
             * ---------------------------------------------------+
             * Opcode | Mnemonic       | Stack     | Memory       |
             * ---------------------------------------------------|
             * 61 l   | PUSH2 l        | l         |              |
             * 80     | DUP1           | l l       |              |
             * 60 0xa | PUSH1 0xa      | 0xa l l   |              |
             * 3D     | RETURNDATASIZE | 0 0xa l l |              |
             * 39     | CODECOPY       | l         | [0..l): code |
             * 3D     | RETURNDATASIZE | 0 l       | [0..l): code |
             * F3     | RETURN         |           | [0..l): code |
             * 00     | STOP           |           |              |
             * ---------------------------------------------------+
             * @dev Prefix the bytecode with a STOP opcode to ensure it cannot be called.
             * Also PUSH2 is used since max contract size cap is 24,576 bytes which is less than 2 ** 16.
             */
            // Do a out-of-gas revert if `n + 1` is more than 2 bytes.
            mstore(add(data, gt(n, 0xfffe)), add(0xfe61000180600a3d393df300, shl(0x40, n)))
            // Deploy a new contract with the generated creation code.
            pointer := create(0, add(data, 0x15), add(n, 0xb))
            if iszero(pointer) {
                mstore(0x00, 0x30116425) // `DeploymentFailed()`.
                revert(0x1c, 0x04)
            }
            mstore(data, n) // Restore the length of `data`.
        }
    }

    /// @dev Writes `data` into the bytecode of a storage contract with `salt`
    /// and returns its normal CREATE2 deterministic address.
    function writeCounterfactual(bytes memory data, bytes32 salt)
        internal
        returns (address pointer)
    {
        /// @solidity memory-safe-assembly
        assembly {
            let n := mload(data)
            // Do a out-of-gas revert if `n + 1` is more than 2 bytes.
            mstore(add(data, gt(n, 0xfffe)), add(0xfe61000180600a3d393df300, shl(0x40, n)))
            // Deploy a new contract with the generated creation code.
            pointer := create2(0, add(data, 0x15), add(n, 0xb), salt)
            if iszero(pointer) {
                mstore(0x00, 0x30116425) // `DeploymentFailed()`.
                revert(0x1c, 0x04)
            }
            mstore(data, n) // Restore the length of `data`.
        }
    }

    /// @dev Writes `data` into the bytecode of a storage contract and returns its address.
    /// This uses the so-called "CREATE3" workflow,
    /// which means that `pointer` is agnostic to `data, and only depends on `salt`.
    function writeDeterministic(bytes memory data, bytes32 salt)
        internal
        returns (address pointer)
    {
        /// @solidity memory-safe-assembly
        assembly {
            let n := mload(data)
            mstore(0x00, _CREATE3_PROXY_INITCODE) // Store the `_PROXY_INITCODE`.
            let proxy := create2(0, 0x10, 0x10, salt)
            if iszero(proxy) {
                mstore(0x00, 0x30116425) // `DeploymentFailed()`.
                revert(0x1c, 0x04)
            }
            mstore(0x14, proxy) // Store the proxy's address.
            // 0xd6 = 0xc0 (short RLP prefix) + 0x16 (length of: 0x94 ++ proxy ++ 0x01).
            // 0x94 = 0x80 + 0x14 (0x14 = the length of an address, 20 bytes, in hex).
            mstore(0x00, 0xd694)
            mstore8(0x34, 0x01) // Nonce of the proxy contract (1).
            pointer := keccak256(0x1e, 0x17)

            // Do a out-of-gas revert if `n + 1` is more than 2 bytes.
            mstore(add(data, gt(n, 0xfffe)), add(0xfe61000180600a3d393df300, shl(0x40, n)))
            if iszero(
                mul( // The arguments of `mul` are evaluated last to first.
                    extcodesize(pointer),
                    call(gas(), proxy, 0, add(data, 0x15), add(n, 0xb), codesize(), 0x00)
                )
            ) {
                mstore(0x00, 0x30116425) // `DeploymentFailed()`.
                revert(0x1c, 0x04)
            }
            mstore(data, n) // Restore the length of `data`.
        }
    }

    /*´:°•.°+.*•´.*:˚.°*.˚•´.°:°•.°•.*•´.*:˚.°*.˚•´.°:°•.°+.*•´.*:*/
    /*                    ADDRESS CALCULATIONS                    */
    /*.•°:°.´+˚.*°.˚:*.´•*.+°.•°:´*.´•*.•°.•°:°.´:•˚°.*°.˚:*.´+°.•*/

    /// @dev Returns the initialization code hash of the storage contract for `data`.
    /// Used for mining vanity addresses with create2crunch.
    function initCodeHash(bytes memory data) internal pure returns (bytes32 hash) {
        /// @solidity memory-safe-assembly
        assembly {
            let n := mload(data)
            // Do a out-of-gas revert if `n + 1` is more than 2 bytes.
            returndatacopy(returndatasize(), returndatasize(), gt(n, 0xfffe))
            mstore(data, add(0x61000180600a3d393df300, shl(0x40, n)))
            hash := keccak256(add(data, 0x15), add(n, 0xb))
            mstore(data, n) // Restore the length of `data`.
        }
    }

    /// @dev Equivalent to `predictCounterfactualAddress(data, salt, address(this))`
    function predictCounterfactualAddress(bytes memory data, bytes32 salt)
        internal
        view
        returns (address pointer)
    {
        pointer = predictCounterfactualAddress(data, salt, address(this));
    }

    /// @dev Returns the CREATE2 address of the storage contract for `data`
    /// deployed with `salt` by `deployer`.
    /// Note: The returned result has dirty upper 96 bits. Please clean if used in assembly.
    function predictCounterfactualAddress(bytes memory data, bytes32 salt, address deployer)
        internal
        pure
        returns (address predicted)
    {
        bytes32 hash = initCodeHash(data);
        /// @solidity memory-safe-assembly
        assembly {
            // Compute and store the bytecode hash.
            mstore8(0x00, 0xff) // Write the prefix.
            mstore(0x35, hash)
            mstore(0x01, shl(96, deployer))
            mstore(0x15, salt)
            predicted := keccak256(0x00, 0x55)
            // Restore the part of the free memory pointer that has been overwritten.
            mstore(0x35, 0)
        }
    }

    /// @dev Equivalent to `predictDeterministicAddress(salt, address(this))`.
    function predictDeterministicAddress(bytes32 salt) internal view returns (address pointer) {
        pointer = predictDeterministicAddress(salt, address(this));
    }

    /// @dev Returns the "CREATE3" deterministic address for `salt` with `deployer`.
    function predictDeterministicAddress(bytes32 salt, address deployer)
        internal
        pure
        returns (address pointer)
    {
        /// @solidity memory-safe-assembly
        assembly {
            let m := mload(0x40) // Cache the free memory pointer.
            mstore(0x00, deployer) // Store `deployer`.
            mstore8(0x0b, 0xff) // Store the prefix.
            mstore(0x20, salt) // Store the salt.
            mstore(0x40, CREATE3_PROXY_INITCODE_HASH) // Store the bytecode hash.

            mstore(0x14, keccak256(0x0b, 0x55)) // Store the proxy's address.
            mstore(0x40, m) // Restore the free memory pointer.
            // 0xd6 = 0xc0 (short RLP prefix) + 0x16 (length of: 0x94 ++ proxy ++ 0x01).
            // 0x94 = 0x80 + 0x14 (0x14 = the length of an address, 20 bytes, in hex).
            mstore(0x00, 0xd694)
            mstore8(0x34, 0x01) // Nonce of the proxy contract (1).
            pointer := keccak256(0x1e, 0x17)
        }
    }

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

    /// @dev Equivalent to `read(pointer, 0, 2 ** 256 - 1)`.
    function read(address pointer) internal view returns (bytes memory data) {
        /// @solidity memory-safe-assembly
        assembly {
            data := mload(0x40)
            let n := and(0xffffffffff, sub(extcodesize(pointer), 0x01))
            extcodecopy(pointer, add(data, 0x1f), 0x00, add(n, 0x21))
            mstore(data, n) // Store the length.
            mstore(0x40, add(n, add(data, 0x40))) // Allocate memory.
        }
    }

    /// @dev Equivalent to `read(pointer, start, 2 ** 256 - 1)`.
    function read(address pointer, uint256 start) internal view returns (bytes memory data) {
        /// @solidity memory-safe-assembly
        assembly {
            data := mload(0x40)
            let n := and(0xffffffffff, sub(extcodesize(pointer), 0x01))
            extcodecopy(pointer, add(data, 0x1f), start, add(n, 0x21))
            mstore(data, mul(sub(n, start), lt(start, n))) // Store the length.
            mstore(0x40, add(data, add(0x40, mload(data)))) // Allocate memory.
        }
    }

    /// @dev Returns a slice of the data on `pointer` from `start` to `end`.
    /// `start` and `end` will be clamped to the range `[0, args.length]`.
    /// The `pointer` MUST be deployed via the SSTORE2 write functions.
    /// Otherwise, the behavior is undefined.
    /// Out-of-gas reverts if `pointer` does not have any code.
    function read(address pointer, uint256 start, uint256 end)
        internal
        view
        returns (bytes memory data)
    {
        /// @solidity memory-safe-assembly
        assembly {
            data := mload(0x40)
            if iszero(lt(end, 0xffff)) { end := 0xffff }
            let d := mul(sub(end, start), lt(start, end))
            extcodecopy(pointer, add(data, 0x1f), start, add(d, 0x01))
            if iszero(and(0xff, mload(add(data, d)))) {
                let n := sub(extcodesize(pointer), 0x01)
                returndatacopy(returndatasize(), returndatasize(), shr(40, n))
                d := mul(gt(n, start), sub(d, mul(gt(end, n), sub(end, n))))
            }
            mstore(data, d) // Store the length.
            mstore(add(add(data, 0x20), d), 0) // Zeroize the slot after the bytes.
            mstore(0x40, add(add(data, 0x40), d)) // Allocate memory.
        }
    }
}

//SPDX-License-Identifier: MIT
pragma solidity ^0.8.12;

// JSON utilities for base64 encoded ERC721 JSON metadata scheme
library json {
    /////////////////////////////////////////////////////////////////////////////////////////////////////////////
    /// @dev JSON requires that double quotes be escaped or JSONs will not build correctly
    /// string.concat also requires an escape, use \\" or the constant DOUBLE_QUOTES to represent " in JSON
    /////////////////////////////////////////////////////////////////////////////////////////////////////////////

    string constant DOUBLE_QUOTES = '\\"';

    function formattedMetadata(
        string memory name,
        string memory description,
        string memory svgImg,
        string memory attributes
    ) internal pure returns (string memory) {
        return string.concat(
            "data:application/json;base64,",
            encode(
                bytes(
                    string.concat(
                        "{",
                        _prop("name", name),
                        _prop("description", description),
                        _xmlImage(svgImg),
                        ',"attributes":',
                        attributes,
                        "}"
                    )
                )
            )
        );
    }

    function _xmlImage(string memory _svgImg) internal pure returns (string memory) {
        return _prop("image", string.concat("data:image/svg+xml;base64,", encode(bytes(_svgImg))), true);
    }

    function _prop(string memory _key, string memory _val) internal pure returns (string memory) {
        return string.concat('"', _key, '": ', '"', _val, '", ');
    }

    function _prop(string memory _key, string memory _val, bool last) internal pure returns (string memory) {
        if (last) {
            return string.concat('"', _key, '": ', '"', _val, '"');
        } else {
            return string.concat('"', _key, '": ', '"', _val, '", ');
        }
    }

    function _object(string memory _key, string memory _val) internal pure returns (string memory) {
        return string.concat('"', _key, '": ', "{", _val, "}");
    }

    /**
     * taken from Openzeppelin
     * @dev Base64 Encoding/Decoding Table
     */
    string internal constant _TABLE = "ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz0123456789+/";

    /**
     * @dev Converts a `bytes` to its Bytes64 `string` representation.
     */
    function encode(bytes memory data) internal pure returns (string memory) {
        /**
         * Inspired by Brecht Devos (Brechtpd) implementation - MIT licence
         * https://github.com/Brechtpd/base64/blob/e78d9fd951e7b0977ddca77d92dc85183770daf4/base64.sol
         */
        if (data.length == 0) return "";

        // Loads the table into memory
        string memory table = _TABLE;

        // Encoding takes 3 bytes chunks of binary data from `bytes` data parameter
        // and split into 4 numbers of 6 bits.
        // The final Base64 length should be `bytes` data length multiplied by 4/3 rounded up
        // - `data.length + 2`  -> Round up
        // - `/ 3`              -> Number of 3-bytes chunks
        // - `4 *`              -> 4 characters for each chunk
        string memory result = new string(4 * ((data.length + 2) / 3));

        assembly {
            // Prepare the lookup table (skip the first "length" byte)
            let tablePtr := add(table, 1)

            // Prepare result pointer, jump over length
            let resultPtr := add(result, 32)

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

                // To write each character, shift the 3 bytes (18 bits) chunk
                // 4 times in blocks of 6 bits for each character (18, 12, 6, 0)
                // and apply logical AND with 0x3F which is the number of
                // the previous character in the ASCII table prior to the Base64 Table
                // The result is then added to the table to get the character to write,
                // and finally write it in the result pointer but with a left shift
                // of 256 (1 byte) - 8 (1 ASCII char) = 248 bits

                mstore8(resultPtr, mload(add(tablePtr, and(shr(18, input), 0x3F))))
                resultPtr := add(resultPtr, 1) // Advance

                mstore8(resultPtr, mload(add(tablePtr, and(shr(12, input), 0x3F))))
                resultPtr := add(resultPtr, 1) // Advance

                mstore8(resultPtr, mload(add(tablePtr, and(shr(6, input), 0x3F))))
                resultPtr := add(resultPtr, 1) // Advance

                mstore8(resultPtr, mload(add(tablePtr, and(input, 0x3F))))
                resultPtr := add(resultPtr, 1) // Advance
            }

            // When data `bytes` is not exactly 3 bytes long
            // it is padded with `=` characters at the end
            switch mod(mload(data), 3)
            case 1 {
                mstore8(sub(resultPtr, 1), 0x3d)
                mstore8(sub(resultPtr, 2), 0x3d)
            }
            case 2 { mstore8(sub(resultPtr, 1), 0x3d) }
        }

        return result;
    }
}

//SPDX-License-Identifier: MIT
pragma solidity 0.8.24;

import {svg} from "./SVG.sol";
import {utils, LibString, numUtils} from "./Utils.sol";
import "./FixedAssets.sol";

library baseSVG {
    string constant GEIST = 'style="font-family: Geist" ';
    string constant DARK_BLUE = "#121B44";
    string constant STOIC_WHITE = "#DEE4FB";

    function _svgProps() internal pure returns (string memory) {
        return string.concat(
            svg.prop("width", "300"),
            svg.prop("height", "484"),
            svg.prop("viewBox", "0 0 300 484"),
            svg.prop("style", "background:none")
        );
    }

    function _baseElements(FixedAssetReader _assetReader) internal view returns (string memory) {
        return string.concat(
            svg.rect(
                string.concat(
                    svg.prop("fill", DARK_BLUE),
                    svg.prop("rx", "8"),
                    svg.prop("width", "300"),
                    svg.prop("height", "484")
                )
            ),
            _styles(_assetReader),
            _leverageLogo(),
            _boldLogo(_assetReader),
            _staticTextEls()
        );
    }

    function _styles(FixedAssetReader _assetReader) private view returns (string memory) {
        return svg.el(
            "style",
            utils.NULL,
            string.concat(
                '@font-face { font-family: "Geist"; src: url("data:font/woff2;utf-8;base64,',
                _assetReader.readAsset(bytes4(keccak256("geist"))),
                '"); }'
            )
        );
    }

    function _leverageLogo() internal pure returns (string memory) {
        return string.concat(
            svg.path(
                "M20.2 31.2C19.1 32.4 17.6 33 16 33L16 21C17.6 21 19.1 21.6 20.2 22.7C21.4 23.9 22 25.4 22 27C22 28.6 21.4 30.1 20.2 31.2Z",
                svg.prop("fill", STOIC_WHITE)
            ),
            svg.path(
                "M22 27C22 25.4 22.6 23.9 23.8 22.7C25 21.6 26.4 21 28 21V33C26.4 33 25 32.4 24 31.2C22.6 30.1 22 28.6 22 27Z",
                svg.prop("fill", STOIC_WHITE)
            )
        );
    }

    function _boldLogo(FixedAssetReader _assetReader) internal view returns (string memory) {
        return svg.el(
            "image",
            string.concat(
                svg.prop("x", "264"),
                svg.prop("y", "373.5"),
                svg.prop("width", "20"),
                svg.prop("height", "20"),
                svg.prop(
                    "href",
                    string.concat("data:image/svg+xml;base64,", _assetReader.readAsset(bytes4(keccak256("BOLD"))))
                )
            )
        );
    }

    function _staticTextEls() internal pure returns (string memory) {
        return string.concat(
            svg.text(
                string.concat(
                    GEIST,
                    svg.prop("x", "16"),
                    svg.prop("y", "358"),
                    svg.prop("font-size", "14"),
                    svg.prop("fill", "white")
                ),
                "Collateral"
            ),
            svg.text(
                string.concat(
                    GEIST,
                    svg.prop("x", "16"),
                    svg.prop("y", "389"),
                    svg.prop("font-size", "14"),
                    svg.prop("fill", "white")
                ),
                "Debt"
            ),
            svg.text(
                string.concat(
                    GEIST,
                    svg.prop("x", "16"),
                    svg.prop("y", "420"),
                    svg.prop("font-size", "14"),
                    svg.prop("fill", "white")
                ),
                "Interest Rate"
            ),
            svg.text(
                string.concat(
                    GEIST,
                    svg.prop("x", "265"),
                    svg.prop("y", "422"),
                    svg.prop("font-size", "20"),
                    svg.prop("fill", "white")
                ),
                "%"
            ),
            svg.text(
                string.concat(
                    GEIST,
                    svg.prop("x", "16"),
                    svg.prop("y", "462"),
                    svg.prop("font-size", "14"),
                    svg.prop("fill", "white")
                ),
                "Owner"
            )
        );
    }

    function _formattedDynamicEl(string memory _value, uint256 _x, uint256 _y) internal pure returns (string memory) {
        return svg.text(
            string.concat(
                GEIST,
                svg.prop("text-anchor", "end"),
                svg.prop("x", LibString.toString(_x)),
                svg.prop("y", LibString.toString(_y)),
                svg.prop("font-size", "20"),
                svg.prop("fill", "white")
            ),
            _value
        );
    }

    function _formattedIdEl(string memory _id) internal pure returns (string memory) {
        return svg.text(
            string.concat(
                GEIST,
                svg.prop("text-anchor", "end"),
                svg.prop("x", "284"),
                svg.prop("y", "33"),
                svg.prop("font-size", "14"),
                svg.prop("fill", "white")
            ),
            _id
        );
    }

    function _formattedAddressEl(address _address) internal pure returns (string memory) {
        return svg.text(
            string.concat(
                GEIST,
                svg.prop("text-anchor", "end"),
                svg.prop("x", "284"),
                svg.prop("y", "462"),
                svg.prop("font-size", "14"),
                svg.prop("fill", "white")
            ),
            string.concat(
                LibString.slice(LibString.toHexStringChecksummed(_address), 0, 6),
                "...",
                LibString.slice(LibString.toHexStringChecksummed(_address), 38, 42)
            )
        );
    }

    function _collLogo(string memory _collName, FixedAssetReader _assetReader) internal view returns (string memory) {
        return svg.el(
            "image",
            string.concat(
                svg.prop("x", "264"),
                svg.prop("y", "342.5"),
                svg.prop("width", "20"),
                svg.prop("height", "20"),
                svg.prop(
                    "href",
                    string.concat(
                        "data:image/svg+xml;base64,", _assetReader.readAsset(bytes4(keccak256(bytes(_collName))))
                    )
                )
            )
        );
    }

    function _statusEl(string memory _status) internal pure returns (string memory) {
        return svg.text(
            string.concat(
                GEIST, svg.prop("x", "40"), svg.prop("y", "33"), svg.prop("font-size", "14"), svg.prop("fill", "white")
            ),
            _status
        );
    }

    function _dynamicTextEls(uint256 _debt, uint256 _coll, uint256 _annualInterestRate)
        internal
        pure
        returns (string memory)
    {
        return string.concat(
            _formattedDynamicEl(numUtils.toLocaleString(_coll, 18, 4), 256, 360),
            _formattedDynamicEl(numUtils.toLocaleString(_debt, 18, 2), 256, 391),
            _formattedDynamicEl(numUtils.toLocaleString(_annualInterestRate, 16, 2), 256, 422)
        );
    }
}

//SPDX-License-Identifier: MIT
pragma solidity 0.8.24;

import "./SVG.sol";

library bauhaus {
    string constant GOLDEN = "#F5D93A";
    string constant CORAL = "#FB7C59";
    string constant GREEN = "#63D77D";
    string constant CYAN = "#95CBF3";
    string constant BLUE = "#405AE5";
    string constant DARK_BLUE = "#121B44";
    string constant BROWN = "#D99664";

    enum colorCode {
        GOLDEN,
        CORAL,
        GREEN,
        CYAN,
        BLUE,
        DARK_BLUE,
        BROWN
    }

    function _bauhaus(string memory _collName, uint256 _troveId) internal pure returns (string memory) {
        bytes32 collSig = keccak256(bytes(_collName));
        uint256 variant = _troveId % 4;

        if (collSig == keccak256("WETH")) {
            return _img1(variant);
        } else if (collSig == keccak256("wstETH")) {
            return _img2(variant);
        } else {
            // assume rETH
            return _img3(variant);
        }
    }

    function _colorCode2Hex(colorCode _color) private pure returns (string memory) {
        if (_color == colorCode.GOLDEN) {
            return GOLDEN;
        } else if (_color == colorCode.CORAL) {
            return CORAL;
        } else if (_color == colorCode.GREEN) {
            return GREEN;
        } else if (_color == colorCode.CYAN) {
            return CYAN;
        } else if (_color == colorCode.BLUE) {
            return BLUE;
        } else if (_color == colorCode.DARK_BLUE) {
            return DARK_BLUE;
        } else {
            return BROWN;
        }
    }

    struct COLORS {
        colorCode rect1;
        colorCode rect2;
        colorCode rect3;
        colorCode rect4;
        colorCode rect5;
        colorCode poly;
        colorCode circle1;
        colorCode circle2;
        colorCode circle3;
    }

    function _colors1(uint256 _variant) internal pure returns (COLORS memory) {
        if (_variant == 0) {
            return COLORS(
                colorCode.BLUE, // rect1
                colorCode.GOLDEN, // rect2
                colorCode.GOLDEN, // rect3
                colorCode.BROWN, // rect4
                colorCode.CORAL, // rect5
                colorCode.CYAN, // poly
                colorCode.GREEN, // circle1
                colorCode.DARK_BLUE, // circle2
                colorCode.GOLDEN // circle3
            );
        } else if (_variant == 1) {
            return COLORS(
                colorCode.GREEN, // rect1
                colorCode.BLUE, // rect2
                colorCode.GOLDEN, // rect3
                colorCode.BROWN, // rect4
                colorCode.GOLDEN, // rect5
                colorCode.CORAL, // poly
                colorCode.BLUE, // circle1
                colorCode.DARK_BLUE, // circle2
                colorCode.BLUE // circle3
            );
        } else if (_variant == 2) {
            return COLORS(
                colorCode.BLUE, // rect1
                colorCode.GOLDEN, // rect2
                colorCode.CYAN, // rect3
                colorCode.GOLDEN, // rect4
                colorCode.BROWN, // rect5
                colorCode.GREEN, // poly
                colorCode.CORAL, // circle1
                colorCode.DARK_BLUE, // circle2
                colorCode.BROWN // circle3
            );
        } else {
            return COLORS(
                colorCode.CYAN, // rect1
                colorCode.BLUE, // rect2
                colorCode.BLUE, // rect3
                colorCode.BROWN, // rect4
                colorCode.BLUE, // rect5
                colorCode.GREEN, // poly
                colorCode.GOLDEN, // circle1
                colorCode.DARK_BLUE, // circle2
                colorCode.BLUE // circle3
            );
        }
    }

    function _img1(uint256 _variant) internal pure returns (string memory) {
        COLORS memory colors = _colors1(_variant);
        return string.concat(_rects1(colors), _polygons1(colors), _circles1(colors));
    }

    function _rects1(COLORS memory _colors) internal pure returns (string memory) {
        return string.concat(
            //background
            svg.rect(
                string.concat(
                    svg.prop("x", "16"),
                    svg.prop("y", "55"),
                    svg.prop("width", "268"),
                    svg.prop("height", "268"),
                    svg.prop("fill", DARK_BLUE)
                )
            ),
            // large right rect | rect1
            svg.rect(
                string.concat(
                    svg.prop("x", "128"),
                    svg.prop("y", "55"),
                    svg.prop("width", "156"),
                    svg.prop("height", "268"),
                    svg.prop("fill", _colorCode2Hex(_colors.rect1))
                )
            ),
            // small upper right rect | rect2
            svg.rect(
                string.concat(
                    svg.prop("x", "228"),
                    svg.prop("y", "55"),
                    svg.prop("width", "56"),
                    svg.prop("height", "56"),
                    svg.prop("fill", _colorCode2Hex(_colors.rect2))
                )
            ),
            // large central left rect | rect3
            svg.rect(
                string.concat(
                    svg.prop("x", "16"),
                    svg.prop("y", "111"),
                    svg.prop("width", "134"),
                    svg.prop("height", "156"),
                    svg.prop("fill", _colorCode2Hex(_colors.rect3))
                )
            ),
            // small lower left rect | rect4
            svg.rect(
                string.concat(
                    svg.prop("x", "16"),
                    svg.prop("y", "267"),
                    svg.prop("width", "112"),
                    svg.prop("height", "56"),
                    svg.prop("fill", _colorCode2Hex(_colors.rect4))
                )
            ),
            // small lower right rect | rect5
            svg.rect(
                string.concat(
                    svg.prop("x", "228"),
                    svg.prop("y", "267"),
                    svg.prop("width", "56"),
                    svg.prop("height", "56"),
                    svg.prop("fill", _colorCode2Hex(_colors.rect5))
                )
            )
        );
    }

    function _polygons1(COLORS memory _colors) internal pure returns (string memory) {
        return string.concat(
            // left triangle | poly1
            svg.polygon(
                string.concat(svg.prop("points", "16,55 72,55 16,111"), svg.prop("fill", _colorCode2Hex(_colors.poly)))
            ),
            // right triangle | poly2
            svg.polygon(
                string.concat(svg.prop("points", "72,55 128,55 72,111"), svg.prop("fill", _colorCode2Hex(_colors.poly)))
            )
        );
    }

    function _circles1(COLORS memory _colors) internal pure returns (string memory) {
        return string.concat(
            //large central circle | circle1
            svg.circle(
                string.concat(
                    svg.prop("cx", "150"),
                    svg.prop("cy", "189"),
                    svg.prop("r", "78"),
                    svg.prop("fill", _colorCode2Hex(_colors.circle1))
                )
            ),
            //small right circle | circle2
            svg.circle(
                string.concat(
                    svg.prop("cx", "228"),
                    svg.prop("cy", "295"),
                    svg.prop("r", "28"),
                    svg.prop("fill", _colorCode2Hex(_colors.circle2))
                )
            ),
            //small right half circle | circle3
            svg.path(
                "M228 267C220.574 267 213.452 269.95 208.201 275.201C202.95 280.452 200 287.574 200 295C200 302.426 202.95 309.548 208.201 314.799C213.452 320.05 220.574 323 228 323L228 267Z",
                svg.prop("fill", _colorCode2Hex(_colors.circle3))
            )
        );
    }

    function _colors2(uint256 _variant) internal pure returns (COLORS memory) {
        if (_variant == 0) {
            return COLORS(
                colorCode.BROWN, // rect1
                colorCode.GOLDEN, // rect2
                colorCode.BLUE, // rect3
                colorCode.GREEN, // rect4
                colorCode.CORAL, // rect5
                colorCode.GOLDEN, // unused
                colorCode.GOLDEN, // circle1
                colorCode.CYAN, // circle2
                colorCode.GREEN // circle3
            );
        } else if (_variant == 1) {
            return COLORS(
                colorCode.GREEN, // rect1
                colorCode.BROWN, // rect2
                colorCode.GOLDEN, // rect3
                colorCode.BLUE, // rect4
                colorCode.CYAN, // rect5
                colorCode.GOLDEN, // unused
                colorCode.GREEN, // circle1
                colorCode.CORAL, // circle2
                colorCode.BLUE // circle3
            );
        } else if (_variant == 2) {
            return COLORS(
                colorCode.BLUE, // rect1
                colorCode.GOLDEN, // rect2
                colorCode.GREEN, // rect3
                colorCode.BLUE, // rect4
                colorCode.CORAL, // rect5
                colorCode.GOLDEN, // unused
                colorCode.CYAN, // circle1
                colorCode.BROWN, // circle2
                colorCode.BROWN // circle3
            );
        } else {
            return COLORS(
                colorCode.GOLDEN, // rect1
                colorCode.GREEN, // rect2
                colorCode.BLUE, // rect3
                colorCode.GOLDEN, // rect4
                colorCode.BROWN, // rect5
                colorCode.GOLDEN, // unused
                colorCode.BROWN, // circle1
                colorCode.CYAN, // circle2
                colorCode.CORAL // circle3
            );
        }
    }

    function _img2(uint256 _variant) internal pure returns (string memory) {
        COLORS memory colors = _colors2(_variant);
        return string.concat(_rects2(colors), _circles2(colors));
    }

    function _rects2(COLORS memory _colors) internal pure returns (string memory) {
        return string.concat(
            //background
            svg.rect(
                string.concat(
                    svg.prop("x", "16"),
                    svg.prop("y", "55"),
                    svg.prop("width", "268"),
                    svg.prop("height", "268"),
                    svg.prop("fill", DARK_BLUE)
                )
            ),
            // large upper right rect | rect1
            svg.rect(
                string.concat(
                    svg.prop("x", "128"),
                    svg.prop("y", "55"),
                    svg.prop("width", "156"),
                    svg.prop("height", "156"),
                    svg.prop("fill", _colorCode2Hex(_colors.rect1))
                )
            ),
            // large central left rect | rect2
            svg.rect(
                string.concat(
                    svg.prop("x", "16"),
                    svg.prop("y", "111"),
                    svg.prop("width", "134"),
                    svg.prop("height", "100"),
                    svg.prop("fill", _colorCode2Hex(_colors.rect2))
                )
            ),
            // large lower left rect | rect3
            svg.rect(
                string.concat(
                    svg.prop("x", "16"),
                    svg.prop("y", "211"),
                    svg.prop("width", "212"),
                    svg.prop("height", "56"),
                    svg.prop("fill", _colorCode2Hex(_colors.rect3))
                )
            ),
            // small lower central rect | rect4
            svg.rect(
                string.concat(
                    svg.prop("x", "72"),
                    svg.prop("y", "267"),
                    svg.prop("width", "78"),
                    svg.prop("height", "56"),
                    svg.prop("fill", _colorCode2Hex(_colors.rect4))
                )
            ),
            // small lower right rect | rect5
            svg.rect(
                string.concat(
                    svg.prop("x", "150"),
                    svg.prop("y", "267"),
                    svg.prop("width", "134"),
                    svg.prop("height", "56"),
                    svg.prop("fill", _colorCode2Hex(_colors.rect5))
                )
            )
        );
    }

    function _circles2(COLORS memory _colors) internal pure returns (string memory) {
        return string.concat(
            //lower left circle | circle1
            svg.circle(
                string.concat(
                    svg.prop("cx", "44"),
                    svg.prop("cy", "295"),
                    svg.prop("r", "28"),
                    svg.prop("fill", _colorCode2Hex(_colors.circle1))
                )
            ),
            //upper left half circle | circle2
            svg.path(
                "M16 55C16 62.4 17.4 69.6 20.3 76.4C23.1 83.2 27.2 89.4 32.4 94.6C37.6 99.8 43.8 103.9 50.6 106.7C57.4 109.6 64.6 111 72 111C79.4 111 86.6 109.6 93.4 106.7C100.2 103.9 106.4 99.8 111.6 94.6C116.8 89.4 120.9 83.2 123.7 76.4C126.6 69.6 128 62.4 128 55L16 55Z",
                svg.prop("fill", _colorCode2Hex(_colors.circle2))
            ),
            //central right half circle | circle3
            svg.path(
                "M284 211C284 190.3 275.8 170.5 261.2 155.8C246.5 141.2 226.7 133 206 133C185.3 133 165.5 141.2 150.9 155.86C136.2 170.5 128 190.3 128 211L284 211Z",
                svg.prop("fill", _colorCode2Hex(_colors.circle3))
            )
        );
    }

    function _colors3(uint256 _variant) internal pure returns (COLORS memory) {
        if (_variant == 0) {
            return COLORS(
                colorCode.BLUE, // rect1
                colorCode.CORAL, // rect2
                colorCode.BLUE, // rect3
                colorCode.GREEN, // rect4
                colorCode.GOLDEN, // unused
                colorCode.GOLDEN, // unused
                colorCode.GOLDEN, // circle1
                colorCode.CYAN, // circle2
                colorCode.GOLDEN // circle3
            );
        } else if (_variant == 1) {
            return COLORS(
                colorCode.CORAL, // rect1
                colorCode.GREEN, // rect2
                colorCode.BROWN, // rect3
                colorCode.GOLDEN, // rect4
                colorCode.GOLDEN, // unused
                colorCode.GOLDEN, // unused
                colorCode.BLUE, // circle1
                colorCode.BLUE, // circle2
                colorCode.CYAN // circle3
            );
        } else if (_variant == 2) {
            return COLORS(
                colorCode.CORAL, // rect1
                colorCode.CYAN, // rect2
                colorCode.CORAL, // rect3
                colorCode.GOLDEN, // rect4
                colorCode.GOLDEN, // unused
                colorCode.GOLDEN, // unused
                colorCode.GREEN, // circle1
                colorCode.BLUE, // circle2
                colorCode.GREEN // circle3
            );
        } else {
            return COLORS(
                colorCode.GOLDEN, // rect1
                colorCode.CORAL, // rect2
                colorCode.GREEN, // rect3
                colorCode.BLUE, // rect4
                colorCode.GOLDEN, // unused
                colorCode.GOLDEN, // unused
                colorCode.BROWN, // circle1
                colorCode.BLUE, // circle2
                colorCode.GREEN // circle3
            );
        }
    }

    function _img3(uint256 _variant) internal pure returns (string memory) {
        COLORS memory colors = _colors3(_variant);
        return string.concat(_rects3(colors), _circles3(colors));
    }

    function _rects3(COLORS memory _colors) internal pure returns (string memory) {
        return string.concat(
            //background
            svg.rect(
                string.concat(
                    svg.prop("x", "16"),
                    svg.prop("y", "55"),
                    svg.prop("width", "268"),
                    svg.prop("height", "268"),
                    svg.prop("fill", DARK_BLUE)
                )
            ),
            // lower left rect | rect1
            svg.rect(
                string.concat(
                    svg.prop("x", "16"),
                    svg.prop("y", "205"),
                    svg.prop("width", "75"),
                    svg.prop("height", "118"),
                    svg.prop("fill", _colorCode2Hex(_colors.rect1))
                )
            ),
            // central rect | rect2
            svg.rect(
                string.concat(
                    svg.prop("x", "91"),
                    svg.prop("y", "205"),
                    svg.prop("width", "136"),
                    svg.prop("height", "59"),
                    svg.prop("fill", _colorCode2Hex(_colors.rect2))
                )
            ),
            // central right rect | rect3
            svg.rect(
                string.concat(
                    svg.prop("x", "166"),
                    svg.prop("y", "180"),
                    svg.prop("width", "118"),
                    svg.prop("height", "25"),
                    svg.prop("fill", _colorCode2Hex(_colors.rect3))
                )
            ),
            // upper right rect | rect4
            svg.rect(
                string.concat(
                    svg.prop("x", "166"),
                    svg.prop("y", "55"),
                    svg.prop("width", "118"),
                    svg.prop("height", "126"),
                    svg.prop("fill", _colorCode2Hex(_colors.rect4))
                )
            )
        );
    }

    function _circles3(COLORS memory _colors) internal pure returns (string memory) {
        return string.concat(
            //upper left circle | circle1
            svg.circle(
                string.concat(
                    svg.prop("cx", "91"),
                    svg.prop("cy", "130"),
                    svg.prop("r", "75"),
                    svg.prop("fill", _colorCode2Hex(_colors.circle1))
                )
            ),
            //upper right half circle | circle2
            svg.path(
                "M284 264 166 264 166 263C166 232 193 206 225 205C258 206 284 232 284 264C284 264 284 264 284 264Z",
                svg.prop("fill", _colorCode2Hex(_colors.circle2))
            ),
            //lower right half circle | circle3
            svg.path(
                "M284 323 166 323 166 323C166 290 193 265 225 264C258 265 284 290 284 323C284 323 284 323 284 323Z",
                svg.prop("fill", _colorCode2Hex(_colors.circle3))
            )
        );
    }
}

// SPDX-License-Identifier: MIT

pragma solidity ^0.8.0;

import "./IActivePool.sol";
import "./IDefaultPool.sol";
import "./IPriceFeed.sol";

interface ILiquityBase {
    function activePool() external view returns (IActivePool);
    function getEntireSystemDebt() external view returns (uint256);
    function getEntireSystemColl() external view returns (uint256);
}

// SPDX-License-Identifier: MIT

pragma solidity 0.8.24;

struct LatestTroveData {
    uint256 entireDebt;
    uint256 entireColl;
    uint256 redistBoldDebtGain;
    uint256 redistCollGain;
    uint256 accruedInterest;
    uint256 recordedDebt;
    uint256 annualInterestRate;
    uint256 weightedRecordedDebt;
    uint256 accruedBatchManagementFee;
    uint256 lastInterestRateAdjTime;
}

// SPDX-License-Identifier: MIT

pragma solidity 0.8.24;

struct LatestBatchData {
    uint256 entireDebtWithoutRedistribution;
    uint256 entireCollWithoutRedistribution;
    uint256 accruedInterest;
    uint256 recordedDebt;
    uint256 annualInterestRate;
    uint256 weightedRecordedDebt;
    uint256 annualManagementFee;
    uint256 accruedManagementFee;
    uint256 weightedRecordedBatchManagementFee;
    uint256 lastDebtUpdateTime;
    uint256 lastInterestRateAdjTime;
}

// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts (last updated v5.1.0) (utils/introspection/IERC165.sol)

pragma solidity ^0.8.20;

/**
 * @dev Interface of the ERC-165 standard, as defined in the
 * https://eips.ethereum.org/EIPS/eip-165[ERC].
 *
 * 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[ERC 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 v5.1.0) (token/ERC721/IERC721Receiver.sol)

pragma solidity ^0.8.20;

/**
 * @title ERC-721 token receiver interface
 * @dev Interface for any contract that wants to support safeTransfers
 * from ERC-721 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 (last updated v5.1.0) (utils/math/Math.sol)

pragma solidity ^0.8.20;

import {Panic} from "../Panic.sol";
import {SafeCast} from "./SafeCast.sol";

/**
 * @dev Standard math utilities missing in the Solidity language.
 */
library Math {
    enum Rounding {
        Floor, // Toward negative infinity
        Ceil, // Toward positive infinity
        Trunc, // Toward zero
        Expand // Away from zero
    }

    /**
     * @dev Returns the addition of two unsigned integers, with an success flag (no overflow).
     */
    function tryAdd(uint256 a, uint256 b) internal pure returns (bool success, uint256 result) {
        unchecked {
            uint256 c = a + b;
            if (c < a) return (false, 0);
            return (true, c);
        }
    }

    /**
     * @dev Returns the subtraction of two unsigned integers, with an success flag (no overflow).
     */
    function trySub(uint256 a, uint256 b) internal pure returns (bool success, uint256 result) {
        unchecked {
            if (b > a) return (false, 0);
            return (true, a - b);
        }
    }

    /**
     * @dev Returns the multiplication of two unsigned integers, with an success flag (no overflow).
     */
    function tryMul(uint256 a, uint256 b) internal pure returns (bool success, uint256 result) {
        unchecked {
            // Gas optimization: this is cheaper than requiring 'a' not being zero, but the
            // benefit is lost if 'b' is also tested.
            // See: https://github.com/OpenZeppelin/openzeppelin-contracts/pull/522
            if (a == 0) return (true, 0);
            uint256 c = a * b;
            if (c / a != b) return (false, 0);
            return (true, c);
        }
    }

    /**
     * @dev Returns the division of two unsigned integers, with a success flag (no division by zero).
     */
    function tryDiv(uint256 a, uint256 b) internal pure returns (bool success, uint256 result) {
        unchecked {
            if (b == 0) return (false, 0);
            return (true, a / b);
        }
    }

    /**
     * @dev Returns the remainder of dividing two unsigned integers, with a success flag (no division by zero).
     */
    function tryMod(uint256 a, uint256 b) internal pure returns (bool success, uint256 result) {
        unchecked {
            if (b == 0) return (false, 0);
            return (true, a % b);
        }
    }

    /**
     * @dev Branchless ternary evaluation for `a ? b : c`. Gas costs are constant.
     *
     * IMPORTANT: This function may reduce bytecode size and consume less gas when used standalone.
     * However, the compiler may optimize Solidity ternary operations (i.e. `a ? b : c`) to only compute
     * one branch when needed, making this function more expensive.
     */
    function ternary(bool condition, uint256 a, uint256 b) internal pure returns (uint256) {
        unchecked {
            // branchless ternary works because:
            // b ^ (a ^ b) == a
            // b ^ 0 == b
            return b ^ ((a ^ b) * SafeCast.toUint(condition));
        }
    }

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

    /**
     * @dev Returns the smallest of two numbers.
     */
    function min(uint256 a, uint256 b) internal pure returns (uint256) {
        return ternary(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 towards infinity instead
     * of rounding towards zero.
     */
    function ceilDiv(uint256 a, uint256 b) internal pure returns (uint256) {
        if (b == 0) {
            // Guarantee the same behavior as in a regular Solidity division.
            Panic.panic(Panic.DIVISION_BY_ZERO);
        }

        // The following calculation ensures accurate ceiling division without overflow.
        // Since a is non-zero, (a - 1) / b will not overflow.
        // The largest possible result occurs when (a - 1) / b is type(uint256).max,
        // but the largest value we can obtain is type(uint256).max - 1, which happens
        // when a = type(uint256).max and b = 1.
        unchecked {
            return SafeCast.toUint(a > 0) * ((a - 1) / b + 1);
        }
    }

    /**
     * @dev Calculates floor(x * y / denominator) with full precision. Throws if result overflows a uint256 or
     * denominator == 0.
     *
     * 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 2²⁵⁶ and mod 2²⁵⁶ - 1, then use
            // the Chinese Remainder Theorem to reconstruct the 512 bit result. The result is stored in two 256
            // variables such that product = prod1 * 2²⁵⁶ + prod0.
            uint256 prod0 = x * y; // Least significant 256 bits of the product
            uint256 prod1; // Most significant 256 bits of the product
            assembly {
                let mm := mulmod(x, y, not(0))
                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 2²⁵⁶. Also prevents denominator == 0.
            if (denominator <= prod1) {
                Panic.panic(ternary(denominator == 0, Panic.DIVISION_BY_ZERO, Panic.UNDER_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.

            uint256 twos = denominator & (0 - denominator);
            assembly {
                // Divide denominator by twos.
                denominator := div(denominator, twos)

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

                // Flip twos such that it is 2²⁵⁶ / 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 2²⁵⁶. Now that denominator is an odd number, it has an inverse modulo 2²⁵⁶ such
            // that denominator * inv ≡ 1 mod 2²⁵⁶. Compute the inverse by starting with a seed that is correct for
            // four bits. That is, denominator * inv ≡ 1 mod 2⁴.
            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 2⁸
            inverse *= 2 - denominator * inverse; // inverse mod 2¹⁶
            inverse *= 2 - denominator * inverse; // inverse mod 2³²
            inverse *= 2 - denominator * inverse; // inverse mod 2⁶⁴
            inverse *= 2 - denominator * inverse; // inverse mod 2¹²⁸
            inverse *= 2 - denominator * inverse; // inverse mod 2²⁵⁶

            // 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 2²⁵⁶. Since the preconditions guarantee that the outcome is
            // less than 2²⁵⁶, 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;
        }
    }

    /**
     * @dev 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) {
        return mulDiv(x, y, denominator) + SafeCast.toUint(unsignedRoundsUp(rounding) && mulmod(x, y, denominator) > 0);
    }

    /**
     * @dev Calculate the modular multiplicative inverse of a number in Z/nZ.
     *
     * If n is a prime, then Z/nZ is a field. In that case all elements are inversible, except 0.
     * If n is not a prime, then Z/nZ is not a field, and some elements might not be inversible.
     *
     * If the input value is not inversible, 0 is returned.
     *
     * NOTE: If you know for sure that n is (big) a prime, it may be cheaper to use Fermat's little theorem and get the
     * inverse using `Math.modExp(a, n - 2, n)`. See {invModPrime}.
     */
    function invMod(uint256 a, uint256 n) internal pure returns (uint256) {
        unchecked {
            if (n == 0) return 0;

            // The inverse modulo is calculated using the Extended Euclidean Algorithm (iterative version)
            // Used to compute integers x and y such that: ax + ny = gcd(a, n).
            // When the gcd is 1, then the inverse of a modulo n exists and it's x.
            // ax + ny = 1
            // ax = 1 + (-y)n
            // ax ≡ 1 (mod n) # x is the inverse of a modulo n

            // If the remainder is 0 the gcd is n right away.
            uint256 remainder = a % n;
            uint256 gcd = n;

            // Therefore the initial coefficients are:
            // ax + ny = gcd(a, n) = n
            // 0a + 1n = n
            int256 x = 0;
            int256 y = 1;

            while (remainder != 0) {
                uint256 quotient = gcd / remainder;

                (gcd, remainder) = (
                    // The old remainder is the next gcd to try.
                    remainder,
                    // Compute the next remainder.
                    // Can't overflow given that (a % gcd) * (gcd // (a % gcd)) <= gcd
                    // where gcd is at most n (capped to type(uint256).max)
                    gcd - remainder * quotient
                );

                (x, y) = (
                    // Increment the coefficient of a.
                    y,
                    // Decrement the coefficient of n.
                    // Can overflow, but the result is casted to uint256 so that the
                    // next value of y is "wrapped around" to a value between 0 and n - 1.
                    x - y * int256(quotient)
                );
            }

            if (gcd != 1) return 0; // No inverse exists.
            return ternary(x < 0, n - uint256(-x), uint256(x)); // Wrap the result if it's negative.
        }
    }

    /**
     * @dev Variant of {invMod}. More efficient, but only works if `p` is known to be a prime greater than `2`.
     *
     * From https://en.wikipedia.org/wiki/Fermat%27s_little_theorem[Fermat's little theorem], we know that if p is
     * prime, then `a**(p-1) ≡ 1 mod p`. As a consequence, we have `a * a**(p-2) ≡ 1 mod p`, which means that
     * `a**(p-2)` is the modular multiplicative inverse of a in Fp.
     *
     * NOTE: this function does NOT check that `p` is a prime greater than `2`.
     */
    function invModPrime(uint256 a, uint256 p) internal view returns (uint256) {
        unchecked {
            return Math.modExp(a, p - 2, p);
        }
    }

    /**
     * @dev Returns the modular exponentiation of the specified base, exponent and modulus (b ** e % m)
     *
     * Requirements:
     * - modulus can't be zero
     * - underlying staticcall to precompile must succeed
     *
     * IMPORTANT: The result is only valid if the underlying call succeeds. When using this function, make
     * sure the chain you're using it on supports the precompiled contract for modular exponentiation
     * at address 0x05 as specified in https://eips.ethereum.org/EIPS/eip-198[EIP-198]. Otherwise,
     * the underlying function will succeed given the lack of a revert, but the result may be incorrectly
     * interpreted as 0.
     */
    function modExp(uint256 b, uint256 e, uint256 m) internal view returns (uint256) {
        (bool success, uint256 result) = tryModExp(b, e, m);
        if (!success) {
            Panic.panic(Panic.DIVISION_BY_ZERO);
        }
        return result;
    }

    /**
     * @dev Returns the modular exponentiation of the specified base, exponent and modulus (b ** e % m).
     * It includes a success flag indicating if the operation succeeded. Operation will be marked as failed if trying
     * to operate modulo 0 or if the underlying precompile reverted.
     *
     * IMPORTANT: The result is only valid if the success flag is true. When using this function, make sure the chain
     * you're using it on supports the precompiled contract for modular exponentiation at address 0x05 as specified in
     * https://eips.ethereum.org/EIPS/eip-198[EIP-198]. Otherwise, the underlying function will succeed given the lack
     * of a revert, but the result may be incorrectly interpreted as 0.
     */
    function tryModExp(uint256 b, uint256 e, uint256 m) internal view returns (bool success, uint256 result) {
        if (m == 0) return (false, 0);
        assembly ("memory-safe") {
            let ptr := mload(0x40)
            // | Offset    | Content    | Content (Hex)                                                      |
            // |-----------|------------|--------------------------------------------------------------------|
            // | 0x00:0x1f | size of b  | 0x0000000000000000000000000000000000000000000000000000000000000020 |
            // | 0x20:0x3f | size of e  | 0x0000000000000000000000000000000000000000000000000000000000000020 |
            // | 0x40:0x5f | size of m  | 0x0000000000000000000000000000000000000000000000000000000000000020 |
            // | 0x60:0x7f | value of b | 0x<.............................................................b> |
            // | 0x80:0x9f | value of e | 0x<.............................................................e> |
            // | 0xa0:0xbf | value of m | 0x<.............................................................m> |
            mstore(ptr, 0x20)
            mstore(add(ptr, 0x20), 0x20)
            mstore(add(ptr, 0x40), 0x20)
            mstore(add(ptr, 0x60), b)
            mstore(add(ptr, 0x80), e)
            mstore(add(ptr, 0xa0), m)

            // Given the result < m, it's guaranteed to fit in 32 bytes,
            // so we can use the memory scratch space located at offset 0.
            success := staticcall(gas(), 0x05, ptr, 0xc0, 0x00, 0x20)
            result := mload(0x00)
        }
    }

    /**
     * @dev Variant of {modExp} that supports inputs of arbitrary length.
     */
    function modExp(bytes memory b, bytes memory e, bytes memory m) internal view returns (bytes memory) {
        (bool success, bytes memory result) = tryModExp(b, e, m);
        if (!success) {
            Panic.panic(Panic.DIVISION_BY_ZERO);
        }
        return result;
    }

    /**
     * @dev Variant of {tryModExp} that supports inputs of arbitrary length.
     */
    function tryModExp(
        bytes memory b,
        bytes memory e,
        bytes memory m
    ) internal view returns (bool success, bytes memory result) {
        if (_zeroBytes(m)) return (false, new bytes(0));

        uint256 mLen = m.length;

        // Encode call args in result and move the free memory pointer
        result = abi.encodePacked(b.length, e.length, mLen, b, e, m);

        assembly ("memory-safe") {
            let dataPtr := add(result, 0x20)
            // Write result on top of args to avoid allocating extra memory.
            success := staticcall(gas(), 0x05, dataPtr, mload(result), dataPtr, mLen)
            // Overwrite the length.
            // result.length > returndatasize() is guaranteed because returndatasize() == m.length
            mstore(result, mLen)
            // Set the memory pointer after the returned data.
            mstore(0x40, add(dataPtr, mLen))
        }
    }

    /**
     * @dev Returns whether the provided byte array is zero.
     */
    function _zeroBytes(bytes memory byteArray) private pure returns (bool) {
        for (uint256 i = 0; i < byteArray.length; ++i) {
            if (byteArray[i] != 0) {
                return false;
            }
        }
        return true;
    }

    /**
     * @dev Returns the square root of a number. If the number is not a perfect square, the value is rounded
     * towards zero.
     *
     * This method is based on Newton's method for computing square roots; the algorithm is restricted to only
     * using integer operations.
     */
    function sqrt(uint256 a) internal pure returns (uint256) {
        unchecked {
            // Take care of easy edge cases when a == 0 or a == 1
            if (a <= 1) {
                return a;
            }

            // In this function, we use Newton's method to get a root of `f(x) := x² - a`. It involves building a
            // sequence x_n that converges toward sqrt(a). For each iteration x_n, we also define the error between
            // the current value as `ε_n = | x_n - sqrt(a) |`.
            //
            // For our first estimation, we consider `e` the smallest power of 2 which is bigger than the square root
            // of the target. (i.e. `2**(e-1) ≤ sqrt(a) < 2**e`). We know that `e ≤ 128` because `(2¹²⁸)² = 2²⁵⁶` is
            // bigger than any uint256.
            //
            // By noticing that
            // `2**(e-1) ≤ sqrt(a) < 2**e → (2**(e-1))² ≤ a < (2**e)² → 2**(2*e-2) ≤ a < 2**(2*e)`
            // we can deduce that `e - 1` is `log2(a) / 2`. We can thus compute `x_n = 2**(e-1)` using a method similar
            // to the msb function.
            uint256 aa = a;
            uint256 xn = 1;

            if (aa >= (1 << 128)) {
                aa >>= 128;
                xn <<= 64;
            }
            if (aa >= (1 << 64)) {
                aa >>= 64;
                xn <<= 32;
            }
            if (aa >= (1 << 32)) {
                aa >>= 32;
                xn <<= 16;
            }
            if (aa >= (1 << 16)) {
                aa >>= 16;
                xn <<= 8;
            }
            if (aa >= (1 << 8)) {
                aa >>= 8;
                xn <<= 4;
            }
            if (aa >= (1 << 4)) {
                aa >>= 4;
                xn <<= 2;
            }
            if (aa >= (1 << 2)) {
                xn <<= 1;
            }

            // We now have x_n such that `x_n = 2**(e-1) ≤ sqrt(a) < 2**e = 2 * x_n`. This implies ε_n ≤ 2**(e-1).
            //
            // We can refine our estimation by noticing that the middle of that interval minimizes the error.
            // If we move x_n to equal 2**(e-1) + 2**(e-2), then we reduce the error to ε_n ≤ 2**(e-2).
            // This is going to be our x_0 (and ε_0)
            xn = (3 * xn) >> 1; // ε_0 := | x_0 - sqrt(a) | ≤ 2**(e-2)

            // From here, Newton's method give us:
            // x_{n+1} = (x_n + a / x_n) / 2
            //
            // One should note that:
            // x_{n+1}² - a = ((x_n + a / x_n) / 2)² - a
            //              = ((x_n² + a) / (2 * x_n))² - a
            //              = (x_n⁴ + 2 * a * x_n² + a²) / (4 * x_n²) - a
            //              = (x_n⁴ + 2 * a * x_n² + a² - 4 * a * x_n²) / (4 * x_n²)
            //              = (x_n⁴ - 2 * a * x_n² + a²) / (4 * x_n²)
            //              = (x_n² - a)² / (2 * x_n)²
            //              = ((x_n² - a) / (2 * x_n))²
            //              ≥ 0
            // Which proves that for all n ≥ 1, sqrt(a) ≤ x_n
            //
            // This gives us the proof of quadratic convergence of the sequence:
            // ε_{n+1} = | x_{n+1} - sqrt(a) |
            //         = | (x_n + a / x_n) / 2 - sqrt(a) |
            //         = | (x_n² + a - 2*x_n*sqrt(a)) / (2 * x_n) |
            //         = | (x_n - sqrt(a))² / (2 * x_n) |
            //         = | ε_n² / (2 * x_n) |
            //         = ε_n² / | (2 * x_n) |
            //
            // For the first iteration, we have a special case where x_0 is known:
            // ε_1 = ε_0² / | (2 * x_0) |
            //     ≤ (2**(e-2))² / (2 * (2**(e-1) + 2**(e-2)))
            //     ≤ 2**(2*e-4) / (3 * 2**(e-1))
            //     ≤ 2**(e-3) / 3
            //     ≤ 2**(e-3-log2(3))
            //     ≤ 2**(e-4.5)
            //
            // For the following iterations, we use the fact that, 2**(e-1) ≤ sqrt(a) ≤ x_n:
            // ε_{n+1} = ε_n² / | (2 * x_n) |
            //         ≤ (2**(e-k))² / (2 * 2**(e-1))
            //         ≤ 2**(2*e-2*k) / 2**e
            //         ≤ 2**(e-2*k)
            xn = (xn + a / xn) >> 1; // ε_1 := | x_1 - sqrt(a) | ≤ 2**(e-4.5)  -- special case, see above
            xn = (xn + a / xn) >> 1; // ε_2 := | x_2 - sqrt(a) | ≤ 2**(e-9)    -- general case with k = 4.5
            xn = (xn + a / xn) >> 1; // ε_3 := | x_3 - sqrt(a) | ≤ 2**(e-18)   -- general case with k = 9
            xn = (xn + a / xn) >> 1; // ε_4 := | x_4 - sqrt(a) | ≤ 2**(e-36)   -- general case with k = 18
            xn = (xn + a / xn) >> 1; // ε_5 := | x_5 - sqrt(a) | ≤ 2**(e-72)   -- general case with k = 36
            xn = (xn + a / xn) >> 1; // ε_6 := | x_6 - sqrt(a) | ≤ 2**(e-144)  -- general case with k = 72

            // Because e ≤ 128 (as discussed during the first estimation phase), we know have reached a precision
            // ε_6 ≤ 2**(e-144) < 1. Given we're operating on integers, then we can ensure that xn is now either
            // sqrt(a) or sqrt(a) + 1.
            return xn - SafeCast.toUint(xn > a / xn);
        }
    }

    /**
     * @dev 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 + SafeCast.toUint(unsignedRoundsUp(rounding) && result * result < a);
        }
    }

    /**
     * @dev Return the log in base 2 of a positive value rounded towards zero.
     * Returns 0 if given 0.
     */
    function log2(uint256 value) internal pure returns (uint256) {
        uint256 result = 0;
        uint256 exp;
        unchecked {
            exp = 128 * SafeCast.toUint(value > (1 << 128) - 1);
            value >>= exp;
            result += exp;

            exp = 64 * SafeCast.toUint(value > (1 << 64) - 1);
            value >>= exp;
            result += exp;

            exp = 32 * SafeCast.toUint(value > (1 << 32) - 1);
            value >>= exp;
            result += exp;

            exp = 16 * SafeCast.toUint(value > (1 << 16) - 1);
            value >>= exp;
            result += exp;

            exp = 8 * SafeCast.toUint(value > (1 << 8) - 1);
            value >>= exp;
            result += exp;

            exp = 4 * SafeCast.toUint(value > (1 << 4) - 1);
            value >>= exp;
            result += exp;

            exp = 2 * SafeCast.toUint(value > (1 << 2) - 1);
            value >>= exp;
            result += exp;

            result += SafeCast.toUint(value > 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 + SafeCast.toUint(unsignedRoundsUp(rounding) && 1 << result < value);
        }
    }

    /**
     * @dev Return the log in base 10 of a positive value rounded towards zero.
     * 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 + SafeCast.toUint(unsignedRoundsUp(rounding) && 10 ** result < value);
        }
    }

    /**
     * @dev Return the log in base 256 of a positive value rounded towards zero.
     * 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;
        uint256 isGt;
        unchecked {
            isGt = SafeCast.toUint(value > (1 << 128) - 1);
            value >>= isGt * 128;
            result += isGt * 16;

            isGt = SafeCast.toUint(value > (1 << 64) - 1);
            value >>= isGt * 64;
            result += isGt * 8;

            isGt = SafeCast.toUint(value > (1 << 32) - 1);
            value >>= isGt * 32;
            result += isGt * 4;

            isGt = SafeCast.toUint(value > (1 << 16) - 1);
            value >>= isGt * 16;
            result += isGt * 2;

            result += SafeCast.toUint(value > (1 << 8) - 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 + SafeCast.toUint(unsignedRoundsUp(rounding) && 1 << (result << 3) < value);
        }
    }

    /**
     * @dev Returns whether a provided rounding mode is considered rounding up for unsigned integers.
     */
    function unsignedRoundsUp(Rounding rounding) internal pure returns (bool) {
        return uint8(rounding) % 2 == 1;
    }
}

// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts (last updated v5.1.0) (utils/math/SignedMath.sol)

pragma solidity ^0.8.20;

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

/**
 * @dev Standard signed math utilities missing in the Solidity language.
 */
library SignedMath {
    /**
     * @dev Branchless ternary evaluation for `a ? b : c`. Gas costs are constant.
     *
     * IMPORTANT: This function may reduce bytecode size and consume less gas when used standalone.
     * However, the compiler may optimize Solidity ternary operations (i.e. `a ? b : c`) to only compute
     * one branch when needed, making this function more expensive.
     */
    function ternary(bool condition, int256 a, int256 b) internal pure returns (int256) {
        unchecked {
            // branchless ternary works because:
            // b ^ (a ^ b) == a
            // b ^ 0 == b
            return b ^ ((a ^ b) * int256(SafeCast.toUint(condition)));
        }
    }

    /**
     * @dev Returns the largest of two signed numbers.
     */
    function max(int256 a, int256 b) internal pure returns (int256) {
        return ternary(a > b, a, b);
    }

    /**
     * @dev Returns the smallest of two signed numbers.
     */
    function min(int256 a, int256 b) internal pure returns (int256) {
        return ternary(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 {
            // Formula from the "Bit Twiddling Hacks" by Sean Eron Anderson.
            // Since `n` is a signed integer, the generated bytecode will use the SAR opcode to perform the right shift,
            // taking advantage of the most significant (or "sign" bit) in two's complement representation.
            // This opcode adds new most significant bits set to the value of the previous most significant bit. As a result,
            // the mask will either be `bytes32(0)` (if n is positive) or `~bytes32(0)` (if n is negative).
            int256 mask = n >> 255;

            // A `bytes32(0)` mask leaves the input unchanged, while a `~bytes32(0)` mask complements it.
            return uint256((n + mask) ^ mask);
        }
    }
}

// SPDX-License-Identifier: MIT

pragma solidity ^0.8.0;

interface IBoldRewardsReceiver {
    function triggerBoldRewards(uint256 _boldYield) external;
}

// SPDX-License-Identifier: MIT

pragma solidity 0.8.24;

struct TroveChange {
    uint256 appliedRedistBoldDebtGain;
    uint256 appliedRedistCollGain;
    uint256 collIncrease;
    uint256 collDecrease;
    uint256 debtIncrease;
    uint256 debtDecrease;
    uint256 newWeightedRecordedDebt;
    uint256 oldWeightedRecordedDebt;
    uint256 upfrontFee;
    uint256 batchAccruedManagementFee;
    uint256 newWeightedRecordedBatchManagementFee;
    uint256 oldWeightedRecordedBatchManagementFee;
}

// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts (last updated v5.0.0) (interfaces/IERC5267.sol)

pragma solidity ^0.8.20;

interface IERC5267 {
    /**
     * @dev MAY be emitted to signal that the domain could have changed.
     */
    event EIP712DomainChanged();

    /**
     * @dev returns the fields and values that describe the domain separator used by this contract for EIP-712
     * signature.
     */
    function eip712Domain()
        external
        view
        returns (
            bytes1 fields,
            string memory name,
            string memory version,
            uint256 chainId,
            address verifyingContract,
            bytes32 salt,
            uint256[] memory extensions
        );
}

// SPDX-License-Identifier: MIT

pragma solidity ^0.8.0;

interface IAddRemoveManagers {
    function setAddManager(uint256 _troveId, address _manager) external;
    function setRemoveManager(uint256 _troveId, address _manager) external;
    function setRemoveManagerWithReceiver(uint256 _troveId, address _manager, address _receiver) external;
    function addManagerOf(uint256 _troveId) external view returns (address);
    function removeManagerReceiverOf(uint256 _troveId) external view returns (address, address);
}

// SPDX-License-Identifier: MIT

pragma solidity ^0.8.0;

import "openzeppelin-contracts/contracts/token/ERC20/extensions/IERC20Metadata.sol";

interface IWETH is IERC20Metadata {
    function deposit() external payable;
    function withdraw(uint256 wad) external;
}

// SPDX-License-Identifier: MIT

pragma solidity 0.8.24;

type BatchId is address;

using {equals as ==, notEquals as !=, isZero, isNotZero} for BatchId global;

function equals(BatchId a, BatchId b) pure returns (bool) {
    return BatchId.unwrap(a) == BatchId.unwrap(b);
}

function notEquals(BatchId a, BatchId b) pure returns (bool) {
    return !(a == b);
}

function isZero(BatchId x) pure returns (bool) {
    return x == BATCH_ID_ZERO;
}

function isNotZero(BatchId x) pure returns (bool) {
    return !x.isZero();
}

BatchId constant BATCH_ID_ZERO = BatchId.wrap(address(0));

//SPDX-License-Identifier: MIT
pragma solidity ^0.8.18;

import {utils, LibString} from "./Utils.sol";

/// @notice Core SVG utility library which helps us construct onchain SVG's with a simple, web-like API.
/// @author Modified from (https://github.com/w1nt3r-eth/hot-chain-svg/blob/main/contracts/SVG.sol) by w1nt3r-eth.

library svg {
    /* GLOBAL CONSTANTS */
    string internal constant _SVG = 'xmlns="http://www.w3.org/2000/svg"';
    string internal constant _HTML = 'xmlns="http://www.w3.org/1999/xhtml"';
    string internal constant _XMLNS = "http://www.w3.org/2000/xmlns/ ";
    string internal constant _XLINK = "http://www.w3.org/1999/xlink ";

    /* MAIN ELEMENTS */
    function g(string memory _props, string memory _children) internal pure returns (string memory) {
        return el("g", _props, _children);
    }

    function _svg(string memory _props, string memory _children) internal pure returns (string memory) {
        return el("svg", string.concat(_SVG, " ", _props), _children);
    }

    function style(string memory _title, string memory _props) internal pure returns (string memory) {
        return el("style", string.concat(".", _title, " ", _props));
    }

    function path(string memory _d) internal pure returns (string memory) {
        return el("path", prop("d", _d, true));
    }

    function path(string memory _d, string memory _props) internal pure returns (string memory) {
        return el("path", string.concat(prop("d", _d), _props));
    }

    function path(string memory _d, string memory _props, string memory _children)
        internal
        pure
        returns (string memory)
    {
        return el("path", string.concat(prop("d", _d), _props), _children);
    }

    function text(string memory _props, string memory _children) internal pure returns (string memory) {
        return el("text", _props, _children);
    }

    function line(string memory _props) internal pure returns (string memory) {
        return el("line", _props);
    }

    function line(string memory _props, string memory _children) internal pure returns (string memory) {
        return el("line", _props, _children);
    }

    function circle(string memory _props) internal pure returns (string memory) {
        return el("circle", _props);
    }

    function circle(string memory _props, string memory _children) internal pure returns (string memory) {
        return el("circle", _props, _children);
    }

    function circle(string memory cx, string memory cy, string memory r) internal pure returns (string memory) {
        return el("circle", string.concat(prop("cx", cx), prop("cy", cy), prop("r", r, true)));
    }

    function circle(string memory cx, string memory cy, string memory r, string memory _children)
        internal
        pure
        returns (string memory)
    {
        return el("circle", string.concat(prop("cx", cx), prop("cy", cy), prop("r", r, true)), _children);
    }

    function circle(string memory cx, string memory cy, string memory r, string memory _props, string memory _children)
        internal
        pure
        returns (string memory)
    {
        return el("circle", string.concat(prop("cx", cx), prop("cy", cy), prop("r", r), _props), _children);
    }

    function ellipse(string memory _props) internal pure returns (string memory) {
        return el("ellipse", _props);
    }

    function ellipse(string memory _props, string memory _children) internal pure returns (string memory) {
        return el("ellipse", _props, _children);
    }

    function polygon(string memory _props) internal pure returns (string memory) {
        return el("polygon", _props);
    }

    function polygon(string memory _props, string memory _children) internal pure returns (string memory) {
        return el("polygon", _props, _children);
    }

    function polyline(string memory _props) internal pure returns (string memory) {
        return el("polyline", _props);
    }

    function polyline(string memory _props, string memory _children) internal pure returns (string memory) {
        return el("polyline", _props, _children);
    }

    function rect(string memory _props) internal pure returns (string memory) {
        return el("rect", _props);
    }

    function rect(string memory _props, string memory _children) internal pure returns (string memory) {
        return el("rect", _props, _children);
    }

    function filter(string memory _props, string memory _children) internal pure returns (string memory) {
        return el("filter", _props, _children);
    }

    function cdata(string memory _content) internal pure returns (string memory) {
        return string.concat("<![CDATA[", _content, "]]>");
    }

    /* GRADIENTS */
    function radialGradient(string memory _props, string memory _children) internal pure returns (string memory) {
        return el("radialGradient", _props, _children);
    }

    function linearGradient(string memory _props, string memory _children) internal pure returns (string memory) {
        return el("linearGradient", _props, _children);
    }

    function gradientStop(uint256 offset, string memory stopColor, string memory _props)
        internal
        pure
        returns (string memory)
    {
        return el(
            "stop",
            string.concat(
                prop("stop-color", stopColor),
                " ",
                prop("offset", string.concat(LibString.toString(offset), "%")),
                " ",
                _props
            ),
            utils.NULL
        );
    }

    /* ANIMATION */
    function animateTransform(string memory _props) internal pure returns (string memory) {
        return el("animateTransform", _props);
    }

    function animate(string memory _props) internal pure returns (string memory) {
        return el("animate", _props);
    }

    /* COMMON */
    // A generic element, can be used to construct any SVG (or HTML) element
    function el(string memory _tag, string memory _props, string memory _children)
        internal
        pure
        returns (string memory)
    {
        return string.concat("<", _tag, " ", _props, ">", _children, "</", _tag, ">");
    }

    // A generic element, can be used to construct SVG (or HTML) elements without children
    function el(string memory _tag, string memory _props) internal pure returns (string memory) {
        return string.concat("<", _tag, " ", _props, "/>");
    }

    // an SVG attribute
    function prop(string memory _key, string memory _val) internal pure returns (string memory) {
        return string.concat(_key, "=", '"', _val, '" ');
    }

    function prop(string memory _key, string memory _val, bool last) internal pure returns (string memory) {
        if (last) {
            return string.concat(_key, "=", '"', _val, '"');
        } else {
            return string.concat(_key, "=", '"', _val, '" ');
        }
    }
}

//SPDX-License-Identifier: MIT
pragma solidity 0.8.24;

import "lib/Solady/src/utils/LibString.sol";

library numUtils {
    function toLocale(string memory _wholeNumber) internal pure returns (string memory) {
        bytes memory b = bytes(_wholeNumber);
        uint256 len = b.length;
        if (len < 4) return _wholeNumber;

        uint256 numCommas = (len - 1) / 3;

        bytes memory result = new bytes(len + numCommas);

        uint256 j = result.length - 1;
        uint256 k = len;
        for (uint256 i = 0; i < len; i++) {
            result[j] = b[k - 1];
            j = j > 1 ? j - 1 : 0;
            k--;
            if (k > 0 && (len - k) % 3 == 0) {
                result[j] = ",";
                j = j > 1 ? j - 1 : 0;
            }
        }

        return string(result);
    }

    // returns a string representation of a number with commas, where result = _value / 10 ** _divisor
    function toLocaleString(uint256 _value, uint8 _divisor, uint8 _precision) internal pure returns (string memory) {
        uint256 whole;
        uint256 fraction;

        if (_divisor > 0) {
            whole = _value / 10 ** _divisor;
            // check if the divisor is less than the precision
            if (_divisor <= _precision) {
                fraction = (_value % 10 ** _divisor);
                // adjust fraction to be the same as the precision
                fraction = fraction * 10 ** (_precision - _divisor);

                // if whole is zero, then add another zero to the fraction, special case if the value is 1
                fraction = (whole == 0 && _value != 1) ? fraction * 10 : fraction;
            } else {
                fraction = (_value % 10 ** _divisor) / 10 ** (_divisor - _precision - 1);
            }
        } else {
            whole = _value;
        }

        string memory wholeStr = toLocale(LibString.toString(whole));

        if (fraction == 0) {
            if (whole > 0 && _precision > 0) wholeStr = string.concat(wholeStr, ".");
            for (uint8 i = 0; i < _precision; i++) {
                wholeStr = string.concat(wholeStr, "0");
            }

            return wholeStr;
        }

        string memory fractionStr = LibString.slice(LibString.toString(fraction), 0, _precision);

        // pad with leading zeros
        if (_precision > bytes(fractionStr).length) {
            uint256 len = _precision - bytes(fractionStr).length;
            string memory zeroStr = "";

            for (uint8 i = 0; i < len; i++) {
                zeroStr = string.concat(zeroStr, "0");
            }

            fractionStr = string.concat(zeroStr, fractionStr);
        }

        return string.concat(wholeStr, _precision > 0 ? "." : "", fractionStr);
    }
}

/// @notice Core utils used extensively to format CSS and numbers.
/// @author Modified from (https://github.com/w1nt3r-eth/hot-chain-svg/blob/main/contracts/Utils.sol) by w1nt3r-eth.

library utils {
    // used to simulate empty strings
    string internal constant NULL = "";

    // formats a CSS variable line. includes a semicolon for formatting.
    function setCssVar(string memory _key, string memory _val) internal pure returns (string memory) {
        return string.concat("--", _key, ":", _val, ";");
    }

    // formats getting a css variable
    function getCssVar(string memory _key) internal pure returns (string memory) {
        return string.concat("var(--", _key, ")");
    }

    // formats getting a def URL
    function getDefURL(string memory _id) internal pure returns (string memory) {
        return string.concat("url(#", _id, ")");
    }

    // formats rgba white with a specified opacity / alpha
    function white_a(uint256 _a) internal pure returns (string memory) {
        return rgba(255, 255, 255, _a);
    }

    // formats rgba black with a specified opacity / alpha
    function black_a(uint256 _a) internal pure returns (string memory) {
        return rgba(0, 0, 0, _a);
    }

    // formats generic rgba color in css
    function rgba(uint256 _r, uint256 _g, uint256 _b, uint256 _a) internal pure returns (string memory) {
        string memory formattedA = _a < 100 ? string.concat("0.", LibString.toString(_a)) : "1";
        return string.concat(
            "rgba(",
            LibString.toString(_r),
            ",",
            LibString.toString(_g),
            ",",
            LibString.toString(_b),
            ",",
            formattedA,
            ")"
        );
    }

    function cssBraces(string memory _attribute, string memory _value) internal pure returns (string memory) {
        return string.concat(" {", _attribute, ": ", _value, "}");
    }

    function cssBraces(string[] memory _attributes, string[] memory _values) internal pure returns (string memory) {
        require(_attributes.length == _values.length, "Utils: Unbalanced Arrays");

        uint256 len = _attributes.length;

        string memory results = " {";

        for (uint256 i = 0; i < len; i++) {
            results = string.concat(results, _attributes[i], ": ", _values[i], "; ");
        }

        return string.concat(results, "}");
    }

    //deals with integers (i.e. no decimals)
    function points(uint256[2][] memory pointsArray) internal pure returns (string memory) {
        require(pointsArray.length >= 3, "Utils: Array too short");

        uint256 len = pointsArray.length - 1;

        string memory results = 'points="';

        for (uint256 i = 0; i < len; i++) {
            results = string.concat(
                results, LibString.toString(pointsArray[i][0]), ",", LibString.toString(pointsArray[i][1]), " "
            );
        }

        return string.concat(
            results, LibString.toString(pointsArray[len][0]), ",", LibString.toString(pointsArray[len][1]), '"'
        );
    }

    // allows for a uniform precision to be applied to all points
    function points(uint256[2][] memory pointsArray, uint256 decimalPrecision) internal pure returns (string memory) {
        require(pointsArray.length >= 3, "Utils: Array too short");

        uint256 len = pointsArray.length - 1;

        string memory results = 'points="';

        for (uint256 i = 0; i < len; i++) {
            results = string.concat(
                results,
                toString(pointsArray[i][0], decimalPrecision),
                ",",
                toString(pointsArray[i][1], decimalPrecision),
                " "
            );
        }

        return string.concat(
            results,
            toString(pointsArray[len][0], decimalPrecision),
            ",",
            toString(pointsArray[len][1], decimalPrecision),
            '"'
        );
    }

    // checks if two strings are equal
    function stringsEqual(string memory _a, string memory _b) internal pure returns (bool) {
        return keccak256(abi.encodePacked(_a)) == keccak256(abi.encodePacked(_b));
    }

    // returns the length of a string in characters
    function utfStringLength(string memory _str) internal pure returns (uint256 length) {
        uint256 i = 0;
        bytes memory string_rep = bytes(_str);

        while (i < string_rep.length) {
            if (string_rep[i] >> 7 == 0) {
                i += 1;
            } else if (string_rep[i] >> 5 == bytes1(uint8(0x6))) {
                i += 2;
            } else if (string_rep[i] >> 4 == bytes1(uint8(0xE))) {
                i += 3;
            } else if (string_rep[i] >> 3 == bytes1(uint8(0x1E))) {
                i += 4;
            }
            //For safety
            else {
                i += 1;
            }

            length++;
        }
    }

    // allows the insertion of a decimal point in the returned string at precision
    function toString(uint256 value, uint256 precision) internal pure returns (string memory) {
        // Inspired by OraclizeAPI's implementation - MIT licence
        // https://github.com/oraclize/ethereum-api/blob/b42146b063c7d6ee1358846c198246239e9360e8/oraclizeAPI_0.4.25.sol

        if (value == 0) {
            return "0";
        }
        uint256 temp = value;
        uint256 digits;
        while (temp != 0) {
            digits++;
            temp /= 10;
        }
        require(precision <= digits && precision > 0, "Utils: precision invalid");
        precision == digits ? digits += 2 : digits++; //adds a space for the decimal point, 2 if it is the whole uint

        uint256 decimalPlacement = digits - precision - 1;
        bytes memory buffer = new bytes(digits);

        buffer[decimalPlacement] = 0x2E; // add the decimal point, ASCII 46/hex 2E
        if (decimalPlacement == 1) {
            buffer[0] = 0x30;
        }

        while (value != 0) {
            digits -= 1;
            if (digits != decimalPlacement) {
                buffer[digits] = bytes1(uint8(48 + uint256(value % 10)));
                value /= 10;
            }
        }

        return string(buffer);
    }
}

//SPDX-License-Identifier: MIT
pragma solidity 0.8.24;

import "lib/Solady/src/utils/SSTORE2.sol";

contract FixedAssetReader {
    struct Asset {
        uint128 start;
        uint128 end;
    }

    address public immutable pointer;

    mapping(bytes4 => Asset) public assets;

    function readAsset(bytes4 _sig) public view returns (string memory) {
        return string(SSTORE2.read(pointer, uint256(assets[_sig].start), uint256(assets[_sig].end)));
    }

    constructor(address _pointer, bytes4[] memory _sigs, Asset[] memory _assets) {
        pointer = _pointer;
        require(_sigs.length == _assets.length, "FixedAssetReader: Invalid input");
        for (uint256 i = 0; i < _sigs.length; i++) {
            assets[_sigs[i]] = _assets[i];
        }
    }
}

// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts (last updated v5.1.0) (utils/Panic.sol)

pragma solidity ^0.8.20;

/**
 * @dev Helper library for emitting standardized panic codes.
 *
 * ```solidity
 * contract Example {
 *      using Panic for uint256;
 *
 *      // Use any of the declared internal constants
 *      function foo() { Panic.GENERIC.panic(); }
 *
 *      // Alternatively
 *      function foo() { Panic.panic(Panic.GENERIC); }
 * }
 * ```
 *
 * Follows the list from https://github.com/ethereum/solidity/blob/v0.8.24/libsolutil/ErrorCodes.h[libsolutil].
 *
 * _Available since v5.1._
 */
// slither-disable-next-line unused-state
library Panic {
    /// @dev generic / unspecified error
    uint256 internal constant GENERIC = 0x00;
    /// @dev used by the assert() builtin
    uint256 internal constant ASSERT = 0x01;
    /// @dev arithmetic underflow or overflow
    uint256 internal constant UNDER_OVERFLOW = 0x11;
    /// @dev division or modulo by zero
    uint256 internal constant DIVISION_BY_ZERO = 0x12;
    /// @dev enum conversion error
    uint256 internal constant ENUM_CONVERSION_ERROR = 0x21;
    /// @dev invalid encoding in storage
    uint256 internal constant STORAGE_ENCODING_ERROR = 0x22;
    /// @dev empty array pop
    uint256 internal constant EMPTY_ARRAY_POP = 0x31;
    /// @dev array out of bounds access
    uint256 internal constant ARRAY_OUT_OF_BOUNDS = 0x32;
    /// @dev resource error (too large allocation or too large array)
    uint256 internal constant RESOURCE_ERROR = 0x41;
    /// @dev calling invalid internal function
    uint256 internal constant INVALID_INTERNAL_FUNCTION = 0x51;

    /// @dev Reverts with a panic code. Recommended to use with
    /// the internal constants with predefined codes.
    function panic(uint256 code) internal pure {
        assembly ("memory-safe") {
            mstore(0x00, 0x4e487b71)
            mstore(0x20, code)
            revert(0x1c, 0x24)
        }
    }
}

// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts (last updated v5.1.0) (utils/math/SafeCast.sol)
// This file was procedurally generated from scripts/generate/templates/SafeCast.js.

pragma solidity ^0.8.20;

/**
 * @dev Wrappers over Solidity's uintXX/intXX/bool casting operators with added overflow
 * checks.
 *
 * Downcasting from uint256/int256 in Solidity does not revert on overflow. This can
 * easily result in undesired exploitation or bugs, since developers usually
 * assume that overflows raise errors. `SafeCast` restores this intuition by
 * reverting the transaction when such an operation overflows.
 *
 * Using this library instead of the unchecked operations eliminates an entire
 * class of bugs, so it's recommended to use it always.
 */
library SafeCast {
    /**
     * @dev Value doesn't fit in an uint of `bits` size.
     */
    error SafeCastOverflowedUintDowncast(uint8 bits, uint256 value);

    /**
     * @dev An int value doesn't fit in an uint of `bits` size.
     */
    error SafeCastOverflowedIntToUint(int256 value);

    /**
     * @dev Value doesn't fit in an int of `bits` size.
     */
    error SafeCastOverflowedIntDowncast(uint8 bits, int256 value);

    /**
     * @dev An uint value doesn't fit in an int of `bits` size.
     */
    error SafeCastOverflowedUintToInt(uint256 value);

    /**
     * @dev Returns the downcasted uint248 from uint256, reverting on
     * overflow (when the input is greater than largest uint248).
     *
     * Counterpart to Solidity's `uint248` operator.
     *
     * Requirements:
     *
     * - input must fit into 248 bits
     */
    function toUint248(uint256 value) internal pure returns (uint248) {
        if (value > type(uint248).max) {
            revert SafeCastOverflowedUintDowncast(248, value);
        }
        return uint248(value);
    }

    /**
     * @dev Returns the downcasted uint240 from uint256, reverting on
     * overflow (when the input is greater than largest uint240).
     *
     * Counterpart to Solidity's `uint240` operator.
     *
     * Requirements:
     *
     * - input must fit into 240 bits
     */
    function toUint240(uint256 value) internal pure returns (uint240) {
        if (value > type(uint240).max) {
            revert SafeCastOverflowedUintDowncast(240, value);
        }
        return uint240(value);
    }

    /**
     * @dev Returns the downcasted uint232 from uint256, reverting on
     * overflow (when the input is greater than largest uint232).
     *
     * Counterpart to Solidity's `uint232` operator.
     *
     * Requirements:
     *
     * - input must fit into 232 bits
     */
    function toUint232(uint256 value) internal pure returns (uint232) {
        if (value > type(uint232).max) {
            revert SafeCastOverflowedUintDowncast(232, value);
        }
        return uint232(value);
    }

    /**
     * @dev Returns the downcasted uint224 from uint256, reverting on
     * overflow (when the input is greater than largest uint224).
     *
     * Counterpart to Solidity's `uint224` operator.
     *
     * Requirements:
     *
     * - input must fit into 224 bits
     */
    function toUint224(uint256 value) internal pure returns (uint224) {
        if (value > type(uint224).max) {
            revert SafeCastOverflowedUintDowncast(224, value);
        }
        return uint224(value);
    }

    /**
     * @dev Returns the downcasted uint216 from uint256, reverting on
     * overflow (when the input is greater than largest uint216).
     *
     * Counterpart to Solidity's `uint216` operator.
     *
     * Requirements:
     *
     * - input must fit into 216 bits
     */
    function toUint216(uint256 value) internal pure returns (uint216) {
        if (value > type(uint216).max) {
            revert SafeCastOverflowedUintDowncast(216, value);
        }
        return uint216(value);
    }

    /**
     * @dev Returns the downcasted uint208 from uint256, reverting on
     * overflow (when the input is greater than largest uint208).
     *
     * Counterpart to Solidity's `uint208` operator.
     *
     * Requirements:
     *
     * - input must fit into 208 bits
     */
    function toUint208(uint256 value) internal pure returns (uint208) {
        if (value > type(uint208).max) {
            revert SafeCastOverflowedUintDowncast(208, value);
        }
        return uint208(value);
    }

    /**
     * @dev Returns the downcasted uint200 from uint256, reverting on
     * overflow (when the input is greater than largest uint200).
     *
     * Counterpart to Solidity's `uint200` operator.
     *
     * Requirements:
     *
     * - input must fit into 200 bits
     */
    function toUint200(uint256 value) internal pure returns (uint200) {
        if (value > type(uint200).max) {
            revert SafeCastOverflowedUintDowncast(200, value);
        }
        return uint200(value);
    }

    /**
     * @dev Returns the downcasted uint192 from uint256, reverting on
     * overflow (when the input is greater than largest uint192).
     *
     * Counterpart to Solidity's `uint192` operator.
     *
     * Requirements:
     *
     * - input must fit into 192 bits
     */
    function toUint192(uint256 value) internal pure returns (uint192) {
        if (value > type(uint192).max) {
            revert SafeCastOverflowedUintDowncast(192, value);
        }
        return uint192(value);
    }

    /**
     * @dev Returns the downcasted uint184 from uint256, reverting on
     * overflow (when the input is greater than largest uint184).
     *
     * Counterpart to Solidity's `uint184` operator.
     *
     * Requirements:
     *
     * - input must fit into 184 bits
     */
    function toUint184(uint256 value) internal pure returns (uint184) {
        if (value > type(uint184).max) {
            revert SafeCastOverflowedUintDowncast(184, value);
        }
        return uint184(value);
    }

    /**
     * @dev Returns the downcasted uint176 from uint256, reverting on
     * overflow (when the input is greater than largest uint176).
     *
     * Counterpart to Solidity's `uint176` operator.
     *
     * Requirements:
     *
     * - input must fit into 176 bits
     */
    function toUint176(uint256 value) internal pure returns (uint176) {
        if (value > type(uint176).max) {
            revert SafeCastOverflowedUintDowncast(176, value);
        }
        return uint176(value);
    }

    /**
     * @dev Returns the downcasted uint168 from uint256, reverting on
     * overflow (when the input is greater than largest uint168).
     *
     * Counterpart to Solidity's `uint168` operator.
     *
     * Requirements:
     *
     * - input must fit into 168 bits
     */
    function toUint168(uint256 value) internal pure returns (uint168) {
        if (value > type(uint168).max) {
            revert SafeCastOverflowedUintDowncast(168, value);
        }
        return uint168(value);
    }

    /**
     * @dev Returns the downcasted uint160 from uint256, reverting on
     * overflow (when the input is greater than largest uint160).
     *
     * Counterpart to Solidity's `uint160` operator.
     *
     * Requirements:
     *
     * - input must fit into 160 bits
     */
    function toUint160(uint256 value) internal pure returns (uint160) {
        if (value > type(uint160).max) {
            revert SafeCastOverflowedUintDowncast(160, value);
        }
        return uint160(value);
    }

    /**
     * @dev Returns the downcasted uint152 from uint256, reverting on
     * overflow (when the input is greater than largest uint152).
     *
     * Counterpart to Solidity's `uint152` operator.
     *
     * Requirements:
     *
     * - input must fit into 152 bits
     */
    function toUint152(uint256 value) internal pure returns (uint152) {
        if (value > type(uint152).max) {
            revert SafeCastOverflowedUintDowncast(152, value);
        }
        return uint152(value);
    }

    /**
     * @dev Returns the downcasted uint144 from uint256, reverting on
     * overflow (when the input is greater than largest uint144).
     *
     * Counterpart to Solidity's `uint144` operator.
     *
     * Requirements:
     *
     * - input must fit into 144 bits
     */
    function toUint144(uint256 value) internal pure returns (uint144) {
        if (value > type(uint144).max) {
            revert SafeCastOverflowedUintDowncast(144, value);
        }
        return uint144(value);
    }

    /**
     * @dev Returns the downcasted uint136 from uint256, reverting on
     * overflow (when the input is greater than largest uint136).
     *
     * Counterpart to Solidity's `uint136` operator.
     *
     * Requirements:
     *
     * - input must fit into 136 bits
     */
    function toUint136(uint256 value) internal pure returns (uint136) {
        if (value > type(uint136).max) {
            revert SafeCastOverflowedUintDowncast(136, value);
        }
        return uint136(value);
    }

    /**
     * @dev Returns the downcasted uint128 from uint256, reverting on
     * overflow (when the input is greater than largest uint128).
     *
     * Counterpart to Solidity's `uint128` operator.
     *
     * Requirements:
     *
     * - input must fit into 128 bits
     */
    function toUint128(uint256 value) internal pure returns (uint128) {
        if (value > type(uint128).max) {
            revert SafeCastOverflowedUintDowncast(128, value);
        }
        return uint128(value);
    }

    /**
     * @dev Returns the downcasted uint120 from uint256, reverting on
     * overflow (when the input is greater than largest uint120).
     *
     * Counterpart to Solidity's `uint120` operator.
     *
     * Requirements:
     *
     * - input must fit into 120 bits
     */
    function toUint120(uint256 value) internal pure returns (uint120) {
        if (value > type(uint120).max) {
            revert SafeCastOverflowedUintDowncast(120, value);
        }
        return uint120(value);
    }

    /**
     * @dev Returns the downcasted uint112 from uint256, reverting on
     * overflow (when the input is greater than largest uint112).
     *
     * Counterpart to Solidity's `uint112` operator.
     *
     * Requirements:
     *
     * - input must fit into 112 bits
     */
    function toUint112(uint256 value) internal pure returns (uint112) {
        if (value > type(uint112).max) {
            revert SafeCastOverflowedUintDowncast(112, value);
        }
        return uint112(value);
    }

    /**
     * @dev Returns the downcasted uint104 from uint256, reverting on
     * overflow (when the input is greater than largest uint104).
     *
     * Counterpart to Solidity's `uint104` operator.
     *
     * Requirements:
     *
     * - input must fit into 104 bits
     */
    function toUint104(uint256 value) internal pure returns (uint104) {
        if (value > type(uint104).max) {
            revert SafeCastOverflowedUintDowncast(104, value);
        }
        return uint104(value);
    }

    /**
     * @dev Returns the downcasted uint96 from uint256, reverting on
     * overflow (when the input is greater than largest uint96).
     *
     * Counterpart to Solidity's `uint96` operator.
     *
     * Requirements:
     *
     * - input must fit into 96 bits
     */
    function toUint96(uint256 value) internal pure returns (uint96) {
        if (value > type(uint96).max) {
            revert SafeCastOverflowedUintDowncast(96, value);
        }
        return uint96(value);
    }

    /**
     * @dev Returns the downcasted uint88 from uint256, reverting on
     * overflow (when the input is greater than largest uint88).
     *
     * Counterpart to Solidity's `uint88` operator.
     *
     * Requirements:
     *
     * - input must fit into 88 bits
     */
    function toUint88(uint256 value) internal pure returns (uint88) {
        if (value > type(uint88).max) {
            revert SafeCastOverflowedUintDowncast(88, value);
        }
        return uint88(value);
    }

    /**
     * @dev Returns the downcasted uint80 from uint256, reverting on
     * overflow (when the input is greater than largest uint80).
     *
     * Counterpart to Solidity's `uint80` operator.
     *
     * Requirements:
     *
     * - input must fit into 80 bits
     */
    function toUint80(uint256 value) internal pure returns (uint80) {
        if (value > type(uint80).max) {
            revert SafeCastOverflowedUintDowncast(80, value);
        }
        return uint80(value);
    }

    /**
     * @dev Returns the downcasted uint72 from uint256, reverting on
     * overflow (when the input is greater than largest uint72).
     *
     * Counterpart to Solidity's `uint72` operator.
     *
     * Requirements:
     *
     * - input must fit into 72 bits
     */
    function toUint72(uint256 value) internal pure returns (uint72) {
        if (value > type(uint72).max) {
            revert SafeCastOverflowedUintDowncast(72, value);
        }
        return uint72(value);
    }

    /**
     * @dev Returns the downcasted uint64 from uint256, reverting on
     * overflow (when the input is greater than largest uint64).
     *
     * Counterpart to Solidity's `uint64` operator.
     *
     * Requirements:
     *
     * - input must fit into 64 bits
     */
    function toUint64(uint256 value) internal pure returns (uint64) {
        if (value > type(uint64).max) {
            revert SafeCastOverflowedUintDowncast(64, value);
        }
        return uint64(value);
    }

    /**
     * @dev Returns the downcasted uint56 from uint256, reverting on
     * overflow (when the input is greater than largest uint56).
     *
     * Counterpart to Solidity's `uint56` operator.
     *
     * Requirements:
     *
     * - input must fit into 56 bits
     */
    function toUint56(uint256 value) internal pure returns (uint56) {
        if (value > type(uint56).max) {
            revert SafeCastOverflowedUintDowncast(56, value);
        }
        return uint56(value);
    }

    /**
     * @dev Returns the downcasted uint48 from uint256, reverting on
     * overflow (when the input is greater than largest uint48).
     *
     * Counterpart to Solidity's `uint48` operator.
     *
     * Requirements:
     *
     * - input must fit into 48 bits
     */
    function toUint48(uint256 value) internal pure returns (uint48) {
        if (value > type(uint48).max) {
            revert SafeCastOverflowedUintDowncast(48, value);
        }
        return uint48(value);
    }

    /**
     * @dev Returns the downcasted uint40 from uint256, reverting on
     * overflow (when the input is greater than largest uint40).
     *
     * Counterpart to Solidity's `uint40` operator.
     *
     * Requirements:
     *
     * - input must fit into 40 bits
     */
    function toUint40(uint256 value) internal pure returns (uint40) {
        if (value > type(uint40).max) {
            revert SafeCastOverflowedUintDowncast(40, value);
        }
        return uint40(value);
    }

    /**
     * @dev Returns the downcasted uint32 from uint256, reverting on
     * overflow (when the input is greater than largest uint32).
     *
     * Counterpart to Solidity's `uint32` operator.
     *
     * Requirements:
     *
     * - input must fit into 32 bits
     */
    function toUint32(uint256 value) internal pure returns (uint32) {
        if (value > type(uint32).max) {
            revert SafeCastOverflowedUintDowncast(32, value);
        }
        return uint32(value);
    }

    /**
     * @dev Returns the downcasted uint24 from uint256, reverting on
     * overflow (when the input is greater than largest uint24).
     *
     * Counterpart to Solidity's `uint24` operator.
     *
     * Requirements:
     *
     * - input must fit into 24 bits
     */
    function toUint24(uint256 value) internal pure returns (uint24) {
        if (value > type(uint24).max) {
            revert SafeCastOverflowedUintDowncast(24, value);
        }
        return uint24(value);
    }

    /**
     * @dev Returns the downcasted uint16 from uint256, reverting on
     * overflow (when the input is greater than largest uint16).
     *
     * Counterpart to Solidity's `uint16` operator.
     *
     * Requirements:
     *
     * - input must fit into 16 bits
     */
    function toUint16(uint256 value) internal pure returns (uint16) {
        if (value > type(uint16).max) {
            revert SafeCastOverflowedUintDowncast(16, value);
        }
        return uint16(value);
    }

    /**
     * @dev Returns the downcasted uint8 from uint256, reverting on
     * overflow (when the input is greater than largest uint8).
     *
     * Counterpart to Solidity's `uint8` operator.
     *
     * Requirements:
     *
     * - input must fit into 8 bits
     */
    function toUint8(uint256 value) internal pure returns (uint8) {
        if (value > type(uint8).max) {
            revert SafeCastOverflowedUintDowncast(8, value);
        }
        return uint8(value);
    }

    /**
     * @dev Converts a signed int256 into an unsigned uint256.
     *
     * Requirements:
     *
     * - input must be greater than or equal to 0.
     */
    function toUint256(int256 value) internal pure returns (uint256) {
        if (value < 0) {
            revert SafeCastOverflowedIntToUint(value);
        }
        return uint256(value);
    }

    /**
     * @dev Returns the downcasted int248 from int256, reverting on
     * overflow (when the input is less than smallest int248 or
     * greater than largest int248).
     *
     * Counterpart to Solidity's `int248` operator.
     *
     * Requirements:
     *
     * - input must fit into 248 bits
     */
    function toInt248(int256 value) internal pure returns (int248 downcasted) {
        downcasted = int248(value);
        if (downcasted != value) {
            revert SafeCastOverflowedIntDowncast(248, value);
        }
    }

    /**
     * @dev Returns the downcasted int240 from int256, reverting on
     * overflow (when the input is less than smallest int240 or
     * greater than largest int240).
     *
     * Counterpart to Solidity's `int240` operator.
     *
     * Requirements:
     *
     * - input must fit into 240 bits
     */
    function toInt240(int256 value) internal pure returns (int240 downcasted) {
        downcasted = int240(value);
        if (downcasted != value) {
            revert SafeCastOverflowedIntDowncast(240, value);
        }
    }

    /**
     * @dev Returns the downcasted int232 from int256, reverting on
     * overflow (when the input is less than smallest int232 or
     * greater than largest int232).
     *
     * Counterpart to Solidity's `int232` operator.
     *
     * Requirements:
     *
     * - input must fit into 232 bits
     */
    function toInt232(int256 value) internal pure returns (int232 downcasted) {
        downcasted = int232(value);
        if (downcasted != value) {
            revert SafeCastOverflowedIntDowncast(232, value);
        }
    }

    /**
     * @dev Returns the downcasted int224 from int256, reverting on
     * overflow (when the input is less than smallest int224 or
     * greater than largest int224).
     *
     * Counterpart to Solidity's `int224` operator.
     *
     * Requirements:
     *
     * - input must fit into 224 bits
     */
    function toInt224(int256 value) internal pure returns (int224 downcasted) {
        downcasted = int224(value);
        if (downcasted != value) {
            revert SafeCastOverflowedIntDowncast(224, value);
        }
    }

    /**
     * @dev Returns the downcasted int216 from int256, reverting on
     * overflow (when the input is less than smallest int216 or
     * greater than largest int216).
     *
     * Counterpart to Solidity's `int216` operator.
     *
     * Requirements:
     *
     * - input must fit into 216 bits
     */
    function toInt216(int256 value) internal pure returns (int216 downcasted) {
        downcasted = int216(value);
        if (downcasted != value) {
            revert SafeCastOverflowedIntDowncast(216, value);
        }
    }

    /**
     * @dev Returns the downcasted int208 from int256, reverting on
     * overflow (when the input is less than smallest int208 or
     * greater than largest int208).
     *
     * Counterpart to Solidity's `int208` operator.
     *
     * Requirements:
     *
     * - input must fit into 208 bits
     */
    function toInt208(int256 value) internal pure returns (int208 downcasted) {
        downcasted = int208(value);
        if (downcasted != value) {
            revert SafeCastOverflowedIntDowncast(208, value);
        }
    }

    /**
     * @dev Returns the downcasted int200 from int256, reverting on
     * overflow (when the input is less than smallest int200 or
     * greater than largest int200).
     *
     * Counterpart to Solidity's `int200` operator.
     *
     * Requirements:
     *
     * - input must fit into 200 bits
     */
    function toInt200(int256 value) internal pure returns (int200 downcasted) {
        downcasted = int200(value);
        if (downcasted != value) {
            revert SafeCastOverflowedIntDowncast(200, value);
        }
    }

    /**
     * @dev Returns the downcasted int192 from int256, reverting on
     * overflow (when the input is less than smallest int192 or
     * greater than largest int192).
     *
     * Counterpart to Solidity's `int192` operator.
     *
     * Requirements:
     *
     * - input must fit into 192 bits
     */
    function toInt192(int256 value) internal pure returns (int192 downcasted) {
        downcasted = int192(value);
        if (downcasted != value) {
            revert SafeCastOverflowedIntDowncast(192, value);
        }
    }

    /**
     * @dev Returns the downcasted int184 from int256, reverting on
     * overflow (when the input is less than smallest int184 or
     * greater than largest int184).
     *
     * Counterpart to Solidity's `int184` operator.
     *
     * Requirements:
     *
     * - input must fit into 184 bits
     */
    function toInt184(int256 value) internal pure returns (int184 downcasted) {
        downcasted = int184(value);
        if (downcasted != value) {
            revert SafeCastOverflowedIntDowncast(184, value);
        }
    }

    /**
     * @dev Returns the downcasted int176 from int256, reverting on
     * overflow (when the input is less than smallest int176 or
     * greater than largest int176).
     *
     * Counterpart to Solidity's `int176` operator.
     *
     * Requirements:
     *
     * - input must fit into 176 bits
     */
    function toInt176(int256 value) internal pure returns (int176 downcasted) {
        downcasted = int176(value);
        if (downcasted != value) {
            revert SafeCastOverflowedIntDowncast(176, value);
        }
    }

    /**
     * @dev Returns the downcasted int168 from int256, reverting on
     * overflow (when the input is less than smallest int168 or
     * greater than largest int168).
     *
     * Counterpart to Solidity's `int168` operator.
     *
     * Requirements:
     *
     * - input must fit into 168 bits
     */
    function toInt168(int256 value) internal pure returns (int168 downcasted) {
        downcasted = int168(value);
        if (downcasted != value) {
            revert SafeCastOverflowedIntDowncast(168, value);
        }
    }

    /**
     * @dev Returns the downcasted int160 from int256, reverting on
     * overflow (when the input is less than smallest int160 or
     * greater than largest int160).
     *
     * Counterpart to Solidity's `int160` operator.
     *
     * Requirements:
     *
     * - input must fit into 160 bits
     */
    function toInt160(int256 value) internal pure returns (int160 downcasted) {
        downcasted = int160(value);
        if (downcasted != value) {
            revert SafeCastOverflowedIntDowncast(160, value);
        }
    }

    /**
     * @dev Returns the downcasted int152 from int256, reverting on
     * overflow (when the input is less than smallest int152 or
     * greater than largest int152).
     *
     * Counterpart to Solidity's `int152` operator.
     *
     * Requirements:
     *
     * - input must fit into 152 bits
     */
    function toInt152(int256 value) internal pure returns (int152 downcasted) {
        downcasted = int152(value);
        if (downcasted != value) {
            revert SafeCastOverflowedIntDowncast(152, value);
        }
    }

    /**
     * @dev Returns the downcasted int144 from int256, reverting on
     * overflow (when the input is less than smallest int144 or
     * greater than largest int144).
     *
     * Counterpart to Solidity's `int144` operator.
     *
     * Requirements:
     *
     * - input must fit into 144 bits
     */
    function toInt144(int256 value) internal pure returns (int144 downcasted) {
        downcasted = int144(value);
        if (downcasted != value) {
            revert SafeCastOverflowedIntDowncast(144, value);
        }
    }

    /**
     * @dev Returns the downcasted int136 from int256, reverting on
     * overflow (when the input is less than smallest int136 or
     * greater than largest int136).
     *
     * Counterpart to Solidity's `int136` operator.
     *
     * Requirements:
     *
     * - input must fit into 136 bits
     */
    function toInt136(int256 value) internal pure returns (int136 downcasted) {
        downcasted = int136(value);
        if (downcasted != value) {
            revert SafeCastOverflowedIntDowncast(136, value);
        }
    }

    /**
     * @dev Returns the downcasted int128 from int256, reverting on
     * overflow (when the input is less than smallest int128 or
     * greater than largest int128).
     *
     * Counterpart to Solidity's `int128` operator.
     *
     * Requirements:
     *
     * - input must fit into 128 bits
     */
    function toInt128(int256 value) internal pure returns (int128 downcasted) {
        downcasted = int128(value);
        if (downcasted != value) {
            revert SafeCastOverflowedIntDowncast(128, value);
        }
    }

    /**
     * @dev Returns the downcasted int120 from int256, reverting on
     * overflow (when the input is less than smallest int120 or
     * greater than largest int120).
     *
     * Counterpart to Solidity's `int120` operator.
     *
     * Requirements:
     *
     * - input must fit into 120 bits
     */
    function toInt120(int256 value) internal pure returns (int120 downcasted) {
        downcasted = int120(value);
        if (downcasted != value) {
            revert SafeCastOverflowedIntDowncast(120, value);
        }
    }

    /**
     * @dev Returns the downcasted int112 from int256, reverting on
     * overflow (when the input is less than smallest int112 or
     * greater than largest int112).
     *
     * Counterpart to Solidity's `int112` operator.
     *
     * Requirements:
     *
     * - input must fit into 112 bits
     */
    function toInt112(int256 value) internal pure returns (int112 downcasted) {
        downcasted = int112(value);
        if (downcasted != value) {
            revert SafeCastOverflowedIntDowncast(112, value);
        }
    }

    /**
     * @dev Returns the downcasted int104 from int256, reverting on
     * overflow (when the input is less than smallest int104 or
     * greater than largest int104).
     *
     * Counterpart to Solidity's `int104` operator.
     *
     * Requirements:
     *
     * - input must fit into 104 bits
     */
    function toInt104(int256 value) internal pure returns (int104 downcasted) {
        downcasted = int104(value);
        if (downcasted != value) {
            revert SafeCastOverflowedIntDowncast(104, value);
        }
    }

    /**
     * @dev Returns the downcasted int96 from int256, reverting on
     * overflow (when the input is less than smallest int96 or
     * greater than largest int96).
     *
     * Counterpart to Solidity's `int96` operator.
     *
     * Requirements:
     *
     * - input must fit into 96 bits
     */
    function toInt96(int256 value) internal pure returns (int96 downcasted) {
        downcasted = int96(value);
        if (downcasted != value) {
            revert SafeCastOverflowedIntDowncast(96, value);
        }
    }

    /**
     * @dev Returns the downcasted int88 from int256, reverting on
     * overflow (when the input is less than smallest int88 or
     * greater than largest int88).
     *
     * Counterpart to Solidity's `int88` operator.
     *
     * Requirements:
     *
     * - input must fit into 88 bits
     */
    function toInt88(int256 value) internal pure returns (int88 downcasted) {
        downcasted = int88(value);
        if (downcasted != value) {
            revert SafeCastOverflowedIntDowncast(88, value);
        }
    }

    /**
     * @dev Returns the downcasted int80 from int256, reverting on
     * overflow (when the input is less than smallest int80 or
     * greater than largest int80).
     *
     * Counterpart to Solidity's `int80` operator.
     *
     * Requirements:
     *
     * - input must fit into 80 bits
     */
    function toInt80(int256 value) internal pure returns (int80 downcasted) {
        downcasted = int80(value);
        if (downcasted != value) {
            revert SafeCastOverflowedIntDowncast(80, value);
        }
    }

    /**
     * @dev Returns the downcasted int72 from int256, reverting on
     * overflow (when the input is less than smallest int72 or
     * greater than largest int72).
     *
     * Counterpart to Solidity's `int72` operator.
     *
     * Requirements:
     *
     * - input must fit into 72 bits
     */
    function toInt72(int256 value) internal pure returns (int72 downcasted) {
        downcasted = int72(value);
        if (downcasted != value) {
            revert SafeCastOverflowedIntDowncast(72, value);
        }
    }

    /**
     * @dev Returns the downcasted int64 from int256, reverting on
     * overflow (when the input is less than smallest int64 or
     * greater than largest int64).
     *
     * Counterpart to Solidity's `int64` operator.
     *
     * Requirements:
     *
     * - input must fit into 64 bits
     */
    function toInt64(int256 value) internal pure returns (int64 downcasted) {
        downcasted = int64(value);
        if (downcasted != value) {
            revert SafeCastOverflowedIntDowncast(64, value);
        }
    }

    /**
     * @dev Returns the downcasted int56 from int256, reverting on
     * overflow (when the input is less than smallest int56 or
     * greater than largest int56).
     *
     * Counterpart to Solidity's `int56` operator.
     *
     * Requirements:
     *
     * - input must fit into 56 bits
     */
    function toInt56(int256 value) internal pure returns (int56 downcasted) {
        downcasted = int56(value);
        if (downcasted != value) {
            revert SafeCastOverflowedIntDowncast(56, value);
        }
    }

    /**
     * @dev Returns the downcasted int48 from int256, reverting on
     * overflow (when the input is less than smallest int48 or
     * greater than largest int48).
     *
     * Counterpart to Solidity's `int48` operator.
     *
     * Requirements:
     *
     * - input must fit into 48 bits
     */
    function toInt48(int256 value) internal pure returns (int48 downcasted) {
        downcasted = int48(value);
        if (downcasted != value) {
            revert SafeCastOverflowedIntDowncast(48, value);
        }
    }

    /**
     * @dev Returns the downcasted int40 from int256, reverting on
     * overflow (when the input is less than smallest int40 or
     * greater than largest int40).
     *
     * Counterpart to Solidity's `int40` operator.
     *
     * Requirements:
     *
     * - input must fit into 40 bits
     */
    function toInt40(int256 value) internal pure returns (int40 downcasted) {
        downcasted = int40(value);
        if (downcasted != value) {
            revert SafeCastOverflowedIntDowncast(40, value);
        }
    }

    /**
     * @dev Returns the downcasted int32 from int256, reverting on
     * overflow (when the input is less than smallest int32 or
     * greater than largest int32).
     *
     * Counterpart to Solidity's `int32` operator.
     *
     * Requirements:
     *
     * - input must fit into 32 bits
     */
    function toInt32(int256 value) internal pure returns (int32 downcasted) {
        downcasted = int32(value);
        if (downcasted != value) {
            revert SafeCastOverflowedIntDowncast(32, value);
        }
    }

    /**
     * @dev Returns the downcasted int24 from int256, reverting on
     * overflow (when the input is less than smallest int24 or
     * greater than largest int24).
     *
     * Counterpart to Solidity's `int24` operator.
     *
     * Requirements:
     *
     * - input must fit into 24 bits
     */
    function toInt24(int256 value) internal pure returns (int24 downcasted) {
        downcasted = int24(value);
        if (downcasted != value) {
            revert SafeCastOverflowedIntDowncast(24, value);
        }
    }

    /**
     * @dev Returns the downcasted int16 from int256, reverting on
     * overflow (when the input is less than smallest int16 or
     * greater than largest int16).
     *
     * Counterpart to Solidity's `int16` operator.
     *
     * Requirements:
     *
     * - input must fit into 16 bits
     */
    function toInt16(int256 value) internal pure returns (int16 downcasted) {
        downcasted = int16(value);
        if (downcasted != value) {
            revert SafeCastOverflowedIntDowncast(16, value);
        }
    }

    /**
     * @dev Returns the downcasted int8 from int256, reverting on
     * overflow (when the input is less than smallest int8 or
     * greater than largest int8).
     *
     * Counterpart to Solidity's `int8` operator.
     *
     * Requirements:
     *
     * - input must fit into 8 bits
     */
    function toInt8(int256 value) internal pure returns (int8 downcasted) {
        downcasted = int8(value);
        if (downcasted != value) {
            revert SafeCastOverflowedIntDowncast(8, value);
        }
    }

    /**
     * @dev Converts an unsigned uint256 into a signed int256.
     *
     * Requirements:
     *
     * - input must be less than or equal to maxInt256.
     */
    function toInt256(uint256 value) internal pure returns (int256) {
        // Note: Unsafe cast below is okay because `type(int256).max` is guaranteed to be positive
        if (value > uint256(type(int256).max)) {
            revert SafeCastOverflowedUintToInt(value);
        }
        return int256(value);
    }

    /**
     * @dev Cast a boolean (false or true) to a uint256 (0 or 1) with no jump.
     */
    function toUint(bool b) internal pure returns (uint256 u) {
        assembly ("memory-safe") {
            u := iszero(iszero(b))
        }
    }
}

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

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

/// @notice Library for converting numbers into strings and other string operations.
/// @author Solady (https://github.com/vectorized/solady/blob/main/src/utils/LibString.sol)
/// @author Modified from Solmate (https://github.com/transmissions11/solmate/blob/main/src/utils/LibString.sol)
///
/// @dev Note:
/// For performance and bytecode compactness, most of the string operations are restricted to
/// byte strings (7-bit ASCII), except where otherwise specified.
/// Usage of byte string operations on charsets with runes spanning two or more bytes
/// can lead to undefined behavior.
library LibString {
    /*´:°•.°+.*•´.*:˚.°*.˚•´.°:°•.°•.*•´.*:˚.°*.˚•´.°:°•.°+.*•´.*:*/
    /*                          STRUCTS                           */
    /*.•°:°.´+˚.*°.˚:*.´•*.+°.•°:´*.´•*.•°.•°:°.´:•˚°.*°.˚:*.´+°.•*/

    /// @dev Goated string storage struct that totally MOGs, no cap, fr.
    /// Uses less gas and bytecode than Solidity's native string storage. It's meta af.
    /// Packs length with the first 31 bytes if <255 bytes, so it’s mad tight.
    struct StringStorage {
        bytes32 _spacer;
    }

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

    /// @dev The length of the output is too small to contain all the hex digits.
    error HexLengthInsufficient();

    /// @dev The length of the string is more than 32 bytes.
    error TooBigForSmallString();

    /// @dev The input string must be a 7-bit ASCII.
    error StringNot7BitASCII();

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

    /// @dev The constant returned when the `search` is not found in the string.
    uint256 internal constant NOT_FOUND = type(uint256).max;

    /// @dev Lookup for '0123456789abcdefghijklmnopqrstuvwxyzABCDEFGHIJKLMNOPQRSTUVWXYZ'.
    uint128 internal constant ALPHANUMERIC_7_BIT_ASCII = 0x7fffffe07fffffe03ff000000000000;

    /// @dev Lookup for 'abcdefghijklmnopqrstuvwxyzABCDEFGHIJKLMNOPQRSTUVWXYZ'.
    uint128 internal constant LETTERS_7_BIT_ASCII = 0x7fffffe07fffffe0000000000000000;

    /// @dev Lookup for 'abcdefghijklmnopqrstuvwxyz'.
    uint128 internal constant LOWERCASE_7_BIT_ASCII = 0x7fffffe000000000000000000000000;

    /// @dev Lookup for 'ABCDEFGHIJKLMNOPQRSTUVWXYZ'.
    uint128 internal constant UPPERCASE_7_BIT_ASCII = 0x7fffffe0000000000000000;

    /// @dev Lookup for '0123456789'.
    uint128 internal constant DIGITS_7_BIT_ASCII = 0x3ff000000000000;

    /// @dev Lookup for '0123456789abcdefABCDEF'.
    uint128 internal constant HEXDIGITS_7_BIT_ASCII = 0x7e0000007e03ff000000000000;

    /// @dev Lookup for '01234567'.
    uint128 internal constant OCTDIGITS_7_BIT_ASCII = 0xff000000000000;

    /// @dev Lookup for '0123456789abcdefghijklmnopqrstuvwxyzABCDEFGHIJKLMNOPQRSTUVWXYZ!"#$%&\'()*+,-./:;<=>?@[\\]^_`{|}~ \t\n\r\x0b\x0c'.
    uint128 internal constant PRINTABLE_7_BIT_ASCII = 0x7fffffffffffffffffffffff00003e00;

    /// @dev Lookup for '!"#$%&\'()*+,-./:;<=>?@[\\]^_`{|}~'.
    uint128 internal constant PUNCTUATION_7_BIT_ASCII = 0x78000001f8000001fc00fffe00000000;

    /// @dev Lookup for ' \t\n\r\x0b\x0c'.
    uint128 internal constant WHITESPACE_7_BIT_ASCII = 0x100003e00;

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

    /// @dev Sets the value of the string storage `$` to `s`.
    function set(StringStorage storage $, string memory s) internal {
        LibBytes.set(bytesStorage($), bytes(s));
    }

    /// @dev Sets the value of the string storage `$` to `s`.
    function setCalldata(StringStorage storage $, string calldata s) internal {
        LibBytes.setCalldata(bytesStorage($), bytes(s));
    }

    /// @dev Sets the value of the string storage `$` to the empty string.
    function clear(StringStorage storage $) internal {
        delete $._spacer;
    }

    /// @dev Returns whether the value stored is `$` is the empty string "".
    function isEmpty(StringStorage storage $) internal view returns (bool) {
        return uint256($._spacer) & 0xff == uint256(0);
    }

    /// @dev Returns the length of the value stored in `$`.
    function length(StringStorage storage $) internal view returns (uint256) {
        return LibBytes.length(bytesStorage($));
    }

    /// @dev Returns the value stored in `$`.
    function get(StringStorage storage $) internal view returns (string memory) {
        return string(LibBytes.get(bytesStorage($)));
    }

    /// @dev Helper to cast `$` to a `BytesStorage`.
    function bytesStorage(StringStorage storage $)
        internal
        pure
        returns (LibBytes.BytesStorage storage casted)
    {
        /// @solidity memory-safe-assembly
        assembly {
            casted.slot := $.slot
        }
    }

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

    /// @dev Returns the base 10 decimal representation of `value`.
    function toString(uint256 value) internal pure returns (string memory result) {
        /// @solidity memory-safe-assembly
        assembly {
            // The maximum value of a uint256 contains 78 digits (1 byte per digit), but
            // we allocate 0xa0 bytes to keep the free memory pointer 32-byte word aligned.
            // We will need 1 word for the trailing zeros padding, 1 word for the length,
            // and 3 words for a maximum of 78 digits.
            result := add(mload(0x40), 0x80)
            mstore(0x40, add(result, 0x20)) // Allocate memory.
            mstore(result, 0) // Zeroize the slot after the string.

            let end := result // Cache the end of the memory to calculate the length later.
            let w := not(0) // Tsk.
            // We write the string from rightmost digit to leftmost digit.
            // The following is essentially a do-while loop that also handles the zero case.
            for { let temp := value } 1 {} {
                result := add(result, w) // `sub(result, 1)`.
                // Store the character to the pointer.
                // The ASCII index of the '0' character is 48.
                mstore8(result, add(48, mod(temp, 10)))
                temp := div(temp, 10) // Keep dividing `temp` until zero.
                if iszero(temp) { break }
            }
            let n := sub(end, result)
            result := sub(result, 0x20) // Move the pointer 32 bytes back to make room for the length.
            mstore(result, n) // Store the length.
        }
    }

    /// @dev Returns the base 10 decimal representation of `value`.
    function toString(int256 value) internal pure returns (string memory result) {
        if (value >= 0) return toString(uint256(value));
        unchecked {
            result = toString(~uint256(value) + 1);
        }
        /// @solidity memory-safe-assembly
        assembly {
            // We still have some spare memory space on the left,
            // as we have allocated 3 words (96 bytes) for up to 78 digits.
            let n := mload(result) // Load the string length.
            mstore(result, 0x2d) // Store the '-' character.
            result := sub(result, 1) // Move back the string pointer by a byte.
            mstore(result, add(n, 1)) // Update the string length.
        }
    }

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

    /// @dev Returns the hexadecimal representation of `value`,
    /// left-padded to an input length of `byteCount` bytes.
    /// The output is prefixed with "0x" encoded using 2 hexadecimal digits per byte,
    /// giving a total length of `byteCount * 2 + 2` bytes.
    /// Reverts if `byteCount` is too small for the output to contain all the digits.
    function toHexString(uint256 value, uint256 byteCount)
        internal
        pure
        returns (string memory result)
    {
        result = toHexStringNoPrefix(value, byteCount);
        /// @solidity memory-safe-assembly
        assembly {
            let n := add(mload(result), 2) // Compute the length.
            mstore(result, 0x3078) // Store the "0x" prefix.
            result := sub(result, 2) // Move the pointer.
            mstore(result, n) // Store the length.
        }
    }

    /// @dev Returns the hexadecimal representation of `value`,
    /// left-padded to an input length of `byteCount` bytes.
    /// The output is not prefixed with "0x" and is encoded using 2 hexadecimal digits per byte,
    /// giving a total length of `byteCount * 2` bytes.
    /// Reverts if `byteCount` is too small for the output to contain all the digits.
    function toHexStringNoPrefix(uint256 value, uint256 byteCount)
        internal
        pure
        returns (string memory result)
    {
        /// @solidity memory-safe-assembly
        assembly {
            // We need 0x20 bytes for the trailing zeros padding, `byteCount * 2` bytes
            // for the digits, 0x02 bytes for the prefix, and 0x20 bytes for the length.
            // We add 0x20 to the total and round down to a multiple of 0x20.
            // (0x20 + 0x20 + 0x02 + 0x20) = 0x62.
            result := add(mload(0x40), and(add(shl(1, byteCount), 0x42), not(0x1f)))
            mstore(0x40, add(result, 0x20)) // Allocate memory.
            mstore(result, 0) // Zeroize the slot after the string.

            let end := result // Cache the end to calculate the length later.
            // Store "0123456789abcdef" in scratch space.
            mstore(0x0f, 0x30313233343536373839616263646566)

            let start := sub(result, add(byteCount, byteCount))
            let w := not(1) // Tsk.
            let temp := value
            // We write the string from rightmost digit to leftmost digit.
            // The following is essentially a do-while loop that also handles the zero case.
            for {} 1 {} {
                result := add(result, w) // `sub(result, 2)`.
                mstore8(add(result, 1), mload(and(temp, 15)))
                mstore8(result, mload(and(shr(4, temp), 15)))
                temp := shr(8, temp)
                if iszero(xor(result, start)) { break }
            }
            if temp {
                mstore(0x00, 0x2194895a) // `HexLengthInsufficient()`.
                revert(0x1c, 0x04)
            }
            let n := sub(end, result)
            result := sub(result, 0x20)
            mstore(result, n) // Store the length.
        }
    }

    /// @dev Returns the hexadecimal representation of `value`.
    /// The output is prefixed with "0x" and encoded using 2 hexadecimal digits per byte.
    /// As address are 20 bytes long, the output will left-padded to have
    /// a length of `20 * 2 + 2` bytes.
    function toHexString(uint256 value) internal pure returns (string memory result) {
        result = toHexStringNoPrefix(value);
        /// @solidity memory-safe-assembly
        assembly {
            let n := add(mload(result), 2) // Compute the length.
            mstore(result, 0x3078) // Store the "0x" prefix.
            result := sub(result, 2) // Move the pointer.
            mstore(result, n) // Store the length.
        }
    }

    /// @dev Returns the hexadecimal representation of `value`.
    /// The output is prefixed with "0x".
    /// The output excludes leading "0" from the `toHexString` output.
    /// `0x00: "0x0", 0x01: "0x1", 0x12: "0x12", 0x123: "0x123"`.
    function toMinimalHexString(uint256 value) internal pure returns (string memory result) {
        result = toHexStringNoPrefix(value);
        /// @solidity memory-safe-assembly
        assembly {
            let o := eq(byte(0, mload(add(result, 0x20))), 0x30) // Whether leading zero is present.
            let n := add(mload(result), 2) // Compute the length.
            mstore(add(result, o), 0x3078) // Store the "0x" prefix, accounting for leading zero.
            result := sub(add(result, o), 2) // Move the pointer, accounting for leading zero.
            mstore(result, sub(n, o)) // Store the length, accounting for leading zero.
        }
    }

    /// @dev Returns the hexadecimal representation of `value`.
    /// The output excludes leading "0" from the `toHexStringNoPrefix` output.
    /// `0x00: "0", 0x01: "1", 0x12: "12", 0x123: "123"`.
    function toMinimalHexStringNoPrefix(uint256 value)
        internal
        pure
        returns (string memory result)
    {
        result = toHexStringNoPrefix(value);
        /// @solidity memory-safe-assembly
        assembly {
            let o := eq(byte(0, mload(add(result, 0x20))), 0x30) // Whether leading zero is present.
            let n := mload(result) // Get the length.
            result := add(result, o) // Move the pointer, accounting for leading zero.
            mstore(result, sub(n, o)) // Store the length, accounting for leading zero.
        }
    }

    /// @dev Returns the hexadecimal representation of `value`.
    /// The output is encoded using 2 hexadecimal digits per byte.
    /// As address are 20 bytes long, the output will left-padded to have
    /// a length of `20 * 2` bytes.
    function toHexStringNoPrefix(uint256 value) internal pure returns (string memory result) {
        /// @solidity memory-safe-assembly
        assembly {
            // We need 0x20 bytes for the trailing zeros padding, 0x20 bytes for the length,
            // 0x02 bytes for the prefix, and 0x40 bytes for the digits.
            // The next multiple of 0x20 above (0x20 + 0x20 + 0x02 + 0x40) is 0xa0.
            result := add(mload(0x40), 0x80)
            mstore(0x40, add(result, 0x20)) // Allocate memory.
            mstore(result, 0) // Zeroize the slot after the string.

            let end := result // Cache the end to calculate the length later.
            mstore(0x0f, 0x30313233343536373839616263646566) // Store the "0123456789abcdef" lookup.

            let w := not(1) // Tsk.
            // We write the string from rightmost digit to leftmost digit.
            // The following is essentially a do-while loop that also handles the zero case.
            for { let temp := value } 1 {} {
                result := add(result, w) // `sub(result, 2)`.
                mstore8(add(result, 1), mload(and(temp, 15)))
                mstore8(result, mload(and(shr(4, temp), 15)))
                temp := shr(8, temp)
                if iszero(temp) { break }
            }
            let n := sub(end, result)
            result := sub(result, 0x20)
            mstore(result, n) // Store the length.
        }
    }

    /// @dev Returns the hexadecimal representation of `value`.
    /// The output is prefixed with "0x", encoded using 2 hexadecimal digits per byte,
    /// and the alphabets are capitalized conditionally according to
    /// https://eips.ethereum.org/EIPS/eip-55
    function toHexStringChecksummed(address value) internal pure returns (string memory result) {
        result = toHexString(value);
        /// @solidity memory-safe-assembly
        assembly {
            let mask := shl(6, div(not(0), 255)) // `0b010000000100000000 ...`
            let o := add(result, 0x22)
            let hashed := and(keccak256(o, 40), mul(34, mask)) // `0b10001000 ... `
            let t := shl(240, 136) // `0b10001000 << 240`
            for { let i := 0 } 1 {} {
                mstore(add(i, i), mul(t, byte(i, hashed)))
                i := add(i, 1)
                if eq(i, 20) { break }
            }
            mstore(o, xor(mload(o), shr(1, and(mload(0x00), and(mload(o), mask)))))
            o := add(o, 0x20)
            mstore(o, xor(mload(o), shr(1, and(mload(0x20), and(mload(o), mask)))))
        }
    }

    /// @dev Returns the hexadecimal representation of `value`.
    /// The output is prefixed with "0x" and encoded using 2 hexadecimal digits per byte.
    function toHexString(address value) internal pure returns (string memory result) {
        result = toHexStringNoPrefix(value);
        /// @solidity memory-safe-assembly
        assembly {
            let n := add(mload(result), 2) // Compute the length.
            mstore(result, 0x3078) // Store the "0x" prefix.
            result := sub(result, 2) // Move the pointer.
            mstore(result, n) // Store the length.
        }
    }

    /// @dev Returns the hexadecimal representation of `value`.
    /// The output is encoded using 2 hexadecimal digits per byte.
    function toHexStringNoPrefix(address value) internal pure returns (string memory result) {
        /// @solidity memory-safe-assembly
        assembly {
            result := mload(0x40)
            // Allocate memory.
            // We need 0x20 bytes for the trailing zeros padding, 0x20 bytes for the length,
            // 0x02 bytes for the prefix, and 0x28 bytes for the digits.
            // The next multiple of 0x20 above (0x20 + 0x20 + 0x02 + 0x28) is 0x80.
            mstore(0x40, add(result, 0x80))
            mstore(0x0f, 0x30313233343536373839616263646566) // Store the "0123456789abcdef" lookup.

            result := add(result, 2)
            mstore(result, 40) // Store the length.
            let o := add(result, 0x20)
            mstore(add(o, 40), 0) // Zeroize the slot after the string.
            value := shl(96, value)
            // We write the string from rightmost digit to leftmost digit.
            // The following is essentially a do-while loop that also handles the zero case.
            for { let i := 0 } 1 {} {
                let p := add(o, add(i, i))
                let temp := byte(i, value)
                mstore8(add(p, 1), mload(and(temp, 15)))
                mstore8(p, mload(shr(4, temp)))
                i := add(i, 1)
                if eq(i, 20) { break }
            }
        }
    }

    /// @dev Returns the hex encoded string from the raw bytes.
    /// The output is encoded using 2 hexadecimal digits per byte.
    function toHexString(bytes memory raw) internal pure returns (string memory result) {
        result = toHexStringNoPrefix(raw);
        /// @solidity memory-safe-assembly
        assembly {
            let n := add(mload(result), 2) // Compute the length.
            mstore(result, 0x3078) // Store the "0x" prefix.
            result := sub(result, 2) // Move the pointer.
            mstore(result, n) // Store the length.
        }
    }

    /// @dev Returns the hex encoded string from the raw bytes.
    /// The output is encoded using 2 hexadecimal digits per byte.
    function toHexStringNoPrefix(bytes memory raw) internal pure returns (string memory result) {
        /// @solidity memory-safe-assembly
        assembly {
            let n := mload(raw)
            result := add(mload(0x40), 2) // Skip 2 bytes for the optional prefix.
            mstore(result, add(n, n)) // Store the length of the output.

            mstore(0x0f, 0x30313233343536373839616263646566) // Store the "0123456789abcdef" lookup.
            let o := add(result, 0x20)
            let end := add(raw, n)
            for {} iszero(eq(raw, end)) {} {
                raw := add(raw, 1)
                mstore8(add(o, 1), mload(and(mload(raw), 15)))
                mstore8(o, mload(and(shr(4, mload(raw)), 15)))
                o := add(o, 2)
            }
            mstore(o, 0) // Zeroize the slot after the string.
            mstore(0x40, add(o, 0x20)) // Allocate memory.
        }
    }

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

    /// @dev Returns the number of UTF characters in the string.
    function runeCount(string memory s) internal pure returns (uint256 result) {
        /// @solidity memory-safe-assembly
        assembly {
            if mload(s) {
                mstore(0x00, div(not(0), 255))
                mstore(0x20, 0x0202020202020202020202020202020202020202020202020303030304040506)
                let o := add(s, 0x20)
                let end := add(o, mload(s))
                for { result := 1 } 1 { result := add(result, 1) } {
                    o := add(o, byte(0, mload(shr(250, mload(o)))))
                    if iszero(lt(o, end)) { break }
                }
            }
        }
    }

    /// @dev Returns if this string is a 7-bit ASCII string.
    /// (i.e. all characters codes are in [0..127])
    function is7BitASCII(string memory s) internal pure returns (bool result) {
        /// @solidity memory-safe-assembly
        assembly {
            result := 1
            let mask := shl(7, div(not(0), 255))
            let n := mload(s)
            if n {
                let o := add(s, 0x20)
                let end := add(o, n)
                let last := mload(end)
                mstore(end, 0)
                for {} 1 {} {
                    if and(mask, mload(o)) {
                        result := 0
                        break
                    }
                    o := add(o, 0x20)
                    if iszero(lt(o, end)) { break }
                }
                mstore(end, last)
            }
        }
    }

    /// @dev Returns if this string is a 7-bit ASCII string,
    /// AND all characters are in the `allowed` lookup.
    /// Note: If `s` is empty, returns true regardless of `allowed`.
    function is7BitASCII(string memory s, uint128 allowed) internal pure returns (bool result) {
        /// @solidity memory-safe-assembly
        assembly {
            result := 1
            if mload(s) {
                let allowed_ := shr(128, shl(128, allowed))
                let o := add(s, 0x20)
                for { let end := add(o, mload(s)) } 1 {} {
                    result := and(result, shr(byte(0, mload(o)), allowed_))
                    o := add(o, 1)
                    if iszero(and(result, lt(o, end))) { break }
                }
            }
        }
    }

    /// @dev Converts the bytes in the 7-bit ASCII string `s` to
    /// an allowed lookup for use in `is7BitASCII(s, allowed)`.
    /// To save runtime gas, you can cache the result in an immutable variable.
    function to7BitASCIIAllowedLookup(string memory s) internal pure returns (uint128 result) {
        /// @solidity memory-safe-assembly
        assembly {
            if mload(s) {
                let o := add(s, 0x20)
                for { let end := add(o, mload(s)) } 1 {} {
                    result := or(result, shl(byte(0, mload(o)), 1))
                    o := add(o, 1)
                    if iszero(lt(o, end)) { break }
                }
                if shr(128, result) {
                    mstore(0x00, 0xc9807e0d) // `StringNot7BitASCII()`.
                    revert(0x1c, 0x04)
                }
            }
        }
    }

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

    // For performance and bytecode compactness, byte string operations are restricted
    // to 7-bit ASCII strings. All offsets are byte offsets, not UTF character offsets.
    // Usage of byte string operations on charsets with runes spanning two or more bytes
    // can lead to undefined behavior.

    /// @dev Returns `subject` all occurrences of `needle` replaced with `replacement`.
    function replace(string memory subject, string memory needle, string memory replacement)
        internal
        pure
        returns (string memory)
    {
        return string(LibBytes.replace(bytes(subject), bytes(needle), bytes(replacement)));
    }

    /// @dev Returns the byte index of the first location of `needle` in `subject`,
    /// needleing from left to right, starting from `from`.
    /// Returns `NOT_FOUND` (i.e. `type(uint256).max`) if the `needle` is not found.
    function indexOf(string memory subject, string memory needle, uint256 from)
        internal
        pure
        returns (uint256)
    {
        return LibBytes.indexOf(bytes(subject), bytes(needle), from);
    }

    /// @dev Returns the byte index of the first location of `needle` in `subject`,
    /// needleing from left to right.
    /// Returns `NOT_FOUND` (i.e. `type(uint256).max`) if the `needle` is not found.
    function indexOf(string memory subject, string memory needle) internal pure returns (uint256) {
        return LibBytes.indexOf(bytes(subject), bytes(needle), 0);
    }

    /// @dev Returns the byte index of the first location of `needle` in `subject`,
    /// needleing from right to left, starting from `from`.
    /// Returns `NOT_FOUND` (i.e. `type(uint256).max`) if the `needle` is not found.
    function lastIndexOf(string memory subject, string memory needle, uint256 from)
        internal
        pure
        returns (uint256)
    {
        return LibBytes.lastIndexOf(bytes(subject), bytes(needle), from);
    }

    /// @dev Returns the byte index of the first location of `needle` in `subject`,
    /// needleing from right to left.
    /// Returns `NOT_FOUND` (i.e. `type(uint256).max`) if the `needle` is not found.
    function lastIndexOf(string memory subject, string memory needle)
        internal
        pure
        returns (uint256)
    {
        return LibBytes.lastIndexOf(bytes(subject), bytes(needle), type(uint256).max);
    }

    /// @dev Returns true if `needle` is found in `subject`, false otherwise.
    function contains(string memory subject, string memory needle) internal pure returns (bool) {
        return LibBytes.contains(bytes(subject), bytes(needle));
    }

    /// @dev Returns whether `subject` starts with `needle`.
    function startsWith(string memory subject, string memory needle) internal pure returns (bool) {
        return LibBytes.startsWith(bytes(subject), bytes(needle));
    }

    /// @dev Returns whether `subject` ends with `needle`.
    function endsWith(string memory subject, string memory needle) internal pure returns (bool) {
        return LibBytes.endsWith(bytes(subject), bytes(needle));
    }

    /// @dev Returns `subject` repeated `times`.
    function repeat(string memory subject, uint256 times) internal pure returns (string memory) {
        return string(LibBytes.repeat(bytes(subject), times));
    }

    /// @dev Returns a copy of `subject` sliced from `start` to `end` (exclusive).
    /// `start` and `end` are byte offsets.
    function slice(string memory subject, uint256 start, uint256 end)
        internal
        pure
        returns (string memory)
    {
        return string(LibBytes.slice(bytes(subject), start, end));
    }

    /// @dev Returns a copy of `subject` sliced from `start` to the end of the string.
    /// `start` is a byte offset.
    function slice(string memory subject, uint256 start) internal pure returns (string memory) {
        return string(LibBytes.slice(bytes(subject), start, type(uint256).max));
    }

    /// @dev Returns all the indices of `needle` in `subject`.
    /// The indices are byte offsets.
    function indicesOf(string memory subject, string memory needle)
        internal
        pure
        returns (uint256[] memory)
    {
        return LibBytes.indicesOf(bytes(subject), bytes(needle));
    }

    /// @dev Returns a arrays of strings based on the `delimiter` inside of the `subject` string.
    function split(string memory subject, string memory delimiter)
        internal
        pure
        returns (string[] memory result)
    {
        bytes[] memory a = LibBytes.split(bytes(subject), bytes(delimiter));
        /// @solidity memory-safe-assembly
        assembly {
            result := a
        }
    }

    /// @dev Returns a concatenated string of `a` and `b`.
    /// Cheaper than `string.concat()` and does not de-align the free memory pointer.
    function concat(string memory a, string memory b) internal pure returns (string memory) {
        return string(LibBytes.concat(bytes(a), bytes(b)));
    }

    /// @dev Returns a copy of the string in either lowercase or UPPERCASE.
    /// WARNING! This function is only compatible with 7-bit ASCII strings.
    function toCase(string memory subject, bool toUpper)
        internal
        pure
        returns (string memory result)
    {
        /// @solidity memory-safe-assembly
        assembly {
            let n := mload(subject)
            if n {
                result := mload(0x40)
                let o := add(result, 0x20)
                let d := sub(subject, result)
                let flags := shl(add(70, shl(5, toUpper)), 0x3ffffff)
                for { let end := add(o, n) } 1 {} {
                    let b := byte(0, mload(add(d, o)))
                    mstore8(o, xor(and(shr(b, flags), 0x20), b))
                    o := add(o, 1)
                    if eq(o, end) { break }
                }
                mstore(result, n) // Store the length.
                mstore(o, 0) // Zeroize the slot after the string.
                mstore(0x40, add(o, 0x20)) // Allocate memory.
            }
        }
    }

    /// @dev Returns a string from a small bytes32 string.
    /// `s` must be null-terminated, or behavior will be undefined.
    function fromSmallString(bytes32 s) internal pure returns (string memory result) {
        /// @solidity memory-safe-assembly
        assembly {
            result := mload(0x40)
            let n := 0
            for {} byte(n, s) { n := add(n, 1) } {} // Scan for '\0'.
            mstore(result, n) // Store the length.
            let o := add(result, 0x20)
            mstore(o, s) // Store the bytes of the string.
            mstore(add(o, n), 0) // Zeroize the slot after the string.
            mstore(0x40, add(result, 0x40)) // Allocate memory.
        }
    }

    /// @dev Returns the small string, with all bytes after the first null byte zeroized.
    function normalizeSmallString(bytes32 s) internal pure returns (bytes32 result) {
        /// @solidity memory-safe-assembly
        assembly {
            for {} byte(result, s) { result := add(result, 1) } {} // Scan for '\0'.
            mstore(0x00, s)
            mstore(result, 0x00)
            result := mload(0x00)
        }
    }

    /// @dev Returns the string as a normalized null-terminated small string.
    function toSmallString(string memory s) internal pure returns (bytes32 result) {
        /// @solidity memory-safe-assembly
        assembly {
            result := mload(s)
            if iszero(lt(result, 33)) {
                mstore(0x00, 0xec92f9a3) // `TooBigForSmallString()`.
                revert(0x1c, 0x04)
            }
            result := shl(shl(3, sub(32, result)), mload(add(s, result)))
        }
    }

    /// @dev Returns a lowercased copy of the string.
    /// WARNING! This function is only compatible with 7-bit ASCII strings.
    function lower(string memory subject) internal pure returns (string memory result) {
        result = toCase(subject, false);
    }

    /// @dev Returns an UPPERCASED copy of the string.
    /// WARNING! This function is only compatible with 7-bit ASCII strings.
    function upper(string memory subject) internal pure returns (string memory result) {
        result = toCase(subject, true);
    }

    /// @dev Escapes the string to be used within HTML tags.
    function escapeHTML(string memory s) internal pure returns (string memory result) {
        /// @solidity memory-safe-assembly
        assembly {
            result := mload(0x40)
            let end := add(s, mload(s))
            let o := add(result, 0x20)
            // Store the bytes of the packed offsets and strides into the scratch space.
            // `packed = (stride << 5) | offset`. Max offset is 20. Max stride is 6.
            mstore(0x1f, 0x900094)
            mstore(0x08, 0xc0000000a6ab)
            // Store "&quot;&amp;&#39;&lt;&gt;" into the scratch space.
            mstore(0x00, shl(64, 0x2671756f743b26616d703b262333393b266c743b2667743b))
            for {} iszero(eq(s, end)) {} {
                s := add(s, 1)
                let c := and(mload(s), 0xff)
                // Not in `["\"","'","&","<",">"]`.
                if iszero(and(shl(c, 1), 0x500000c400000000)) {
                    mstore8(o, c)
                    o := add(o, 1)
                    continue
                }
                let t := shr(248, mload(c))
                mstore(o, mload(and(t, 0x1f)))
                o := add(o, shr(5, t))
            }
            mstore(o, 0) // Zeroize the slot after the string.
            mstore(result, sub(o, add(result, 0x20))) // Store the length.
            mstore(0x40, add(o, 0x20)) // Allocate memory.
        }
    }

    /// @dev Escapes the string to be used within double-quotes in a JSON.
    /// If `addDoubleQuotes` is true, the result will be enclosed in double-quotes.
    function escapeJSON(string memory s, bool addDoubleQuotes)
        internal
        pure
        returns (string memory result)
    {
        /// @solidity memory-safe-assembly
        assembly {
            result := mload(0x40)
            let o := add(result, 0x20)
            if addDoubleQuotes {
                mstore8(o, 34)
                o := add(1, o)
            }
            // Store "\\u0000" in scratch space.
            // Store "0123456789abcdef" in scratch space.
            // Also, store `{0x08:"b", 0x09:"t", 0x0a:"n", 0x0c:"f", 0x0d:"r"}`.
            // into the scratch space.
            mstore(0x15, 0x5c75303030303031323334353637383961626364656662746e006672)
            // Bitmask for detecting `["\"","\\"]`.
            let e := or(shl(0x22, 1), shl(0x5c, 1))
            for { let end := add(s, mload(s)) } iszero(eq(s, end)) {} {
                s := add(s, 1)
                let c := and(mload(s), 0xff)
                if iszero(lt(c, 0x20)) {
                    if iszero(and(shl(c, 1), e)) {
                        // Not in `["\"","\\"]`.
                        mstore8(o, c)
                        o := add(o, 1)
                        continue
                    }
                    mstore8(o, 0x5c) // "\\".
                    mstore8(add(o, 1), c)
                    o := add(o, 2)
                    continue
                }
                if iszero(and(shl(c, 1), 0x3700)) {
                    // Not in `["\b","\t","\n","\f","\d"]`.
                    mstore8(0x1d, mload(shr(4, c))) // Hex value.
                    mstore8(0x1e, mload(and(c, 15))) // Hex value.
                    mstore(o, mload(0x19)) // "\\u00XX".
                    o := add(o, 6)
                    continue
                }
                mstore8(o, 0x5c) // "\\".
                mstore8(add(o, 1), mload(add(c, 8)))
                o := add(o, 2)
            }
            if addDoubleQuotes {
                mstore8(o, 34)
                o := add(1, o)
            }
            mstore(o, 0) // Zeroize the slot after the string.
            mstore(result, sub(o, add(result, 0x20))) // Store the length.
            mstore(0x40, add(o, 0x20)) // Allocate memory.
        }
    }

    /// @dev Escapes the string to be used within double-quotes in a JSON.
    function escapeJSON(string memory s) internal pure returns (string memory result) {
        result = escapeJSON(s, false);
    }

    /// @dev Encodes `s` so that it can be safely used in a URI,
    /// just like `encodeURIComponent` in JavaScript.
    /// See: https://developer.mozilla.org/en-US/docs/Web/JavaScript/Reference/Global_Objects/encodeURIComponent
    /// See: https://datatracker.ietf.org/doc/html/rfc2396
    /// See: https://datatracker.ietf.org/doc/html/rfc3986
    function encodeURIComponent(string memory s) internal pure returns (string memory result) {
        /// @solidity memory-safe-assembly
        assembly {
            result := mload(0x40)
            // Store "0123456789ABCDEF" in scratch space.
            // Uppercased to be consistent with JavaScript's implementation.
            mstore(0x0f, 0x30313233343536373839414243444546)
            let o := add(result, 0x20)
            for { let end := add(s, mload(s)) } iszero(eq(s, end)) {} {
                s := add(s, 1)
                let c := and(mload(s), 0xff)
                // If not in `[0-9A-Z-a-z-_.!~*'()]`.
                if iszero(and(1, shr(c, 0x47fffffe87fffffe03ff678200000000))) {
                    mstore8(o, 0x25) // '%'.
                    mstore8(add(o, 1), mload(and(shr(4, c), 15)))
                    mstore8(add(o, 2), mload(and(c, 15)))
                    o := add(o, 3)
                    continue
                }
                mstore8(o, c)
                o := add(o, 1)
            }
            mstore(result, sub(o, add(result, 0x20))) // Store the length.
            mstore(o, 0) // Zeroize the slot after the string.
            mstore(0x40, add(o, 0x20)) // Allocate memory.
        }
    }

    /// @dev Returns whether `a` equals `b`.
    function eq(string memory a, string memory b) internal pure returns (bool result) {
        /// @solidity memory-safe-assembly
        assembly {
            result := eq(keccak256(add(a, 0x20), mload(a)), keccak256(add(b, 0x20), mload(b)))
        }
    }

    /// @dev Returns whether `a` equals `b`, where `b` is a null-terminated small string.
    function eqs(string memory a, bytes32 b) internal pure returns (bool result) {
        /// @solidity memory-safe-assembly
        assembly {
            // These should be evaluated on compile time, as far as possible.
            let m := not(shl(7, div(not(iszero(b)), 255))) // `0x7f7f ...`.
            let x := not(or(m, or(b, add(m, and(b, m)))))
            let r := shl(7, iszero(iszero(shr(128, x))))
            r := or(r, shl(6, iszero(iszero(shr(64, shr(r, x))))))
            r := or(r, shl(5, lt(0xffffffff, shr(r, x))))
            r := or(r, shl(4, lt(0xffff, shr(r, x))))
            r := or(r, shl(3, lt(0xff, shr(r, x))))
            // forgefmt: disable-next-item
            result := gt(eq(mload(a), add(iszero(x), xor(31, shr(3, r)))),
                xor(shr(add(8, r), b), shr(add(8, r), mload(add(a, 0x20)))))
        }
    }

    /// @dev Packs a single string with its length into a single word.
    /// Returns `bytes32(0)` if the length is zero or greater than 31.
    function packOne(string memory a) internal pure returns (bytes32 result) {
        /// @solidity memory-safe-assembly
        assembly {
            // We don't need to zero right pad the string,
            // since this is our own custom non-standard packing scheme.
            result :=
                mul(
                    // Load the length and the bytes.
                    mload(add(a, 0x1f)),
                    // `length != 0 && length < 32`. Abuses underflow.
                    // Assumes that the length is valid and within the block gas limit.
                    lt(sub(mload(a), 1), 0x1f)
                )
        }
    }

    /// @dev Unpacks a string packed using {packOne}.
    /// Returns the empty string if `packed` is `bytes32(0)`.
    /// If `packed` is not an output of {packOne}, the output behavior is undefined.
    function unpackOne(bytes32 packed) internal pure returns (string memory result) {
        /// @solidity memory-safe-assembly
        assembly {
            result := mload(0x40) // Grab the free memory pointer.
            mstore(0x40, add(result, 0x40)) // Allocate 2 words (1 for the length, 1 for the bytes).
            mstore(result, 0) // Zeroize the length slot.
            mstore(add(result, 0x1f), packed) // Store the length and bytes.
            mstore(add(add(result, 0x20), mload(result)), 0) // Right pad with zeroes.
        }
    }

    /// @dev Packs two strings with their lengths into a single word.
    /// Returns `bytes32(0)` if combined length is zero or greater than 30.
    function packTwo(string memory a, string memory b) internal pure returns (bytes32 result) {
        /// @solidity memory-safe-assembly
        assembly {
            let aLen := mload(a)
            // We don't need to zero right pad the strings,
            // since this is our own custom non-standard packing scheme.
            result :=
                mul(
                    or( // Load the length and the bytes of `a` and `b`.
                    shl(shl(3, sub(0x1f, aLen)), mload(add(a, aLen))), mload(sub(add(b, 0x1e), aLen))),
                    // `totalLen != 0 && totalLen < 31`. Abuses underflow.
                    // Assumes that the lengths are valid and within the block gas limit.
                    lt(sub(add(aLen, mload(b)), 1), 0x1e)
                )
        }
    }

    /// @dev Unpacks strings packed using {packTwo}.
    /// Returns the empty strings if `packed` is `bytes32(0)`.
    /// If `packed` is not an output of {packTwo}, the output behavior is undefined.
    function unpackTwo(bytes32 packed)
        internal
        pure
        returns (string memory resultA, string memory resultB)
    {
        /// @solidity memory-safe-assembly
        assembly {
            resultA := mload(0x40) // Grab the free memory pointer.
            resultB := add(resultA, 0x40)
            // Allocate 2 words for each string (1 for the length, 1 for the byte). Total 4 words.
            mstore(0x40, add(resultB, 0x40))
            // Zeroize the length slots.
            mstore(resultA, 0)
            mstore(resultB, 0)
            // Store the lengths and bytes.
            mstore(add(resultA, 0x1f), packed)
            mstore(add(resultB, 0x1f), mload(add(add(resultA, 0x20), mload(resultA))))
            // Right pad with zeroes.
            mstore(add(add(resultA, 0x20), mload(resultA)), 0)
            mstore(add(add(resultB, 0x20), mload(resultB)), 0)
        }
    }

    /// @dev Directly returns `a` without copying.
    function directReturn(string memory a) internal pure {
        assembly {
            // Assumes that the string does not start from the scratch space.
            let retStart := sub(a, 0x20)
            let retUnpaddedSize := add(mload(a), 0x40)
            // Right pad with zeroes. Just in case the string is produced
            // by a method that doesn't zero right pad.
            mstore(add(retStart, retUnpaddedSize), 0)
            mstore(retStart, 0x20) // Store the return offset.
            // End the transaction, returning the string.
            return(retStart, and(not(0x1f), add(0x1f, retUnpaddedSize)))
        }
    }
}

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

/// @notice Library for byte related operations.
/// @author Solady (https://github.com/vectorized/solady/blob/main/src/utils/LibBytes.sol)
library LibBytes {
    /*´:°•.°+.*•´.*:˚.°*.˚•´.°:°•.°•.*•´.*:˚.°*.˚•´.°:°•.°+.*•´.*:*/
    /*                          STRUCTS                           */
    /*.•°:°.´+˚.*°.˚:*.´•*.+°.•°:´*.´•*.•°.•°:°.´:•˚°.*°.˚:*.´+°.•*/

    /// @dev Goated bytes storage struct that totally MOGs, no cap, fr.
    /// Uses less gas and bytecode than Solidity's native bytes storage. It's meta af.
    /// Packs length with the first 31 bytes if <255 bytes, so it’s mad tight.
    struct BytesStorage {
        bytes32 _spacer;
    }

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

    /// @dev The constant returned when the `search` is not found in the bytes.
    uint256 internal constant NOT_FOUND = type(uint256).max;

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

    /// @dev Sets the value of the bytes storage `$` to `s`.
    function set(BytesStorage storage $, bytes memory s) internal {
        /// @solidity memory-safe-assembly
        assembly {
            let n := mload(s)
            let packed := or(0xff, shl(8, n))
            for { let i := 0 } 1 {} {
                if iszero(gt(n, 0xfe)) {
                    i := 0x1f
                    packed := or(n, shl(8, mload(add(s, i))))
                    if iszero(gt(n, i)) { break }
                }
                let o := add(s, 0x20)
                mstore(0x00, $.slot)
                for { let p := keccak256(0x00, 0x20) } 1 {} {
                    sstore(add(p, shr(5, i)), mload(add(o, i)))
                    i := add(i, 0x20)
                    if iszero(lt(i, n)) { break }
                }
                break
            }
            sstore($.slot, packed)
        }
    }

    /// @dev Sets the value of the bytes storage `$` to `s`.
    function setCalldata(BytesStorage storage $, bytes calldata s) internal {
        /// @solidity memory-safe-assembly
        assembly {
            let packed := or(0xff, shl(8, s.length))
            for { let i := 0 } 1 {} {
                if iszero(gt(s.length, 0xfe)) {
                    i := 0x1f
                    packed := or(s.length, shl(8, shr(8, calldataload(s.offset))))
                    if iszero(gt(s.length, i)) { break }
                }
                mstore(0x00, $.slot)
                for { let p := keccak256(0x00, 0x20) } 1 {} {
                    sstore(add(p, shr(5, i)), calldataload(add(s.offset, i)))
                    i := add(i, 0x20)
                    if iszero(lt(i, s.length)) { break }
                }
                break
            }
            sstore($.slot, packed)
        }
    }

    /// @dev Sets the value of the bytes storage `$` to the empty bytes.
    function clear(BytesStorage storage $) internal {
        delete $._spacer;
    }

    /// @dev Returns whether the value stored is `$` is the empty bytes "".
    function isEmpty(BytesStorage storage $) internal view returns (bool) {
        return uint256($._spacer) & 0xff == uint256(0);
    }

    /// @dev Returns the length of the value stored in `$`.
    function length(BytesStorage storage $) internal view returns (uint256 result) {
        result = uint256($._spacer);
        /// @solidity memory-safe-assembly
        assembly {
            let n := and(0xff, result)
            result := or(mul(shr(8, result), eq(0xff, n)), mul(n, iszero(eq(0xff, n))))
        }
    }

    /// @dev Returns the value stored in `$`.
    function get(BytesStorage storage $) internal view returns (bytes memory result) {
        /// @solidity memory-safe-assembly
        assembly {
            result := mload(0x40)
            let o := add(result, 0x20)
            let packed := sload($.slot)
            let n := shr(8, packed)
            for { let i := 0 } 1 {} {
                if iszero(eq(and(packed, 0xff), 0xff)) {
                    mstore(o, packed)
                    n := and(0xff, packed)
                    i := 0x1f
                    if iszero(gt(n, i)) { break }
                }
                mstore(0x00, $.slot)
                for { let p := keccak256(0x00, 0x20) } 1 {} {
                    mstore(add(o, i), sload(add(p, shr(5, i))))
                    i := add(i, 0x20)
                    if iszero(lt(i, n)) { break }
                }
                break
            }
            mstore(result, n) // Store the length of the memory.
            mstore(add(o, n), 0) // Zeroize the slot after the bytes.
            mstore(0x40, add(add(o, n), 0x20)) // Allocate memory.
        }
    }

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

    /// @dev Returns `subject` all occurrences of `needle` replaced with `replacement`.
    function replace(bytes memory subject, bytes memory needle, bytes memory replacement)
        internal
        pure
        returns (bytes memory result)
    {
        /// @solidity memory-safe-assembly
        assembly {
            result := mload(0x40)
            let needleLen := mload(needle)
            let replacementLen := mload(replacement)
            let d := sub(result, subject) // Memory difference.
            let i := add(subject, 0x20) // Subject bytes pointer.
            mstore(0x00, add(i, mload(subject))) // End of subject.
            if iszero(gt(needleLen, mload(subject))) {
                let subjectSearchEnd := add(sub(mload(0x00), needleLen), 1)
                let h := 0 // The hash of `needle`.
                if iszero(lt(needleLen, 0x20)) { h := keccak256(add(needle, 0x20), needleLen) }
                let s := mload(add(needle, 0x20))
                for { let m := shl(3, sub(0x20, and(needleLen, 0x1f))) } 1 {} {
                    let t := mload(i)
                    // Whether the first `needleLen % 32` bytes of `subject` and `needle` matches.
                    if iszero(shr(m, xor(t, s))) {
                        if h {
                            if iszero(eq(keccak256(i, needleLen), h)) {
                                mstore(add(i, d), t)
                                i := add(i, 1)
                                if iszero(lt(i, subjectSearchEnd)) { break }
                                continue
                            }
                        }
                        // Copy the `replacement` one word at a time.
                        for { let j := 0 } 1 {} {
                            mstore(add(add(i, d), j), mload(add(add(replacement, 0x20), j)))
                            j := add(j, 0x20)
                            if iszero(lt(j, replacementLen)) { break }
                        }
                        d := sub(add(d, replacementLen), needleLen)
                        if needleLen {
                            i := add(i, needleLen)
                            if iszero(lt(i, subjectSearchEnd)) { break }
                            continue
                        }
                    }
                    mstore(add(i, d), t)
                    i := add(i, 1)
                    if iszero(lt(i, subjectSearchEnd)) { break }
                }
            }
            let end := mload(0x00)
            let n := add(sub(d, add(result, 0x20)), end)
            // Copy the rest of the bytes one word at a time.
            for {} lt(i, end) { i := add(i, 0x20) } { mstore(add(i, d), mload(i)) }
            let o := add(i, d)
            mstore(o, 0) // Zeroize the slot after the bytes.
            mstore(0x40, add(o, 0x20)) // Allocate memory.
            mstore(result, n) // Store the length.
        }
    }

    /// @dev Returns the byte index of the first location of `needle` in `subject`,
    /// needleing from left to right, starting from `from`.
    /// Returns `NOT_FOUND` (i.e. `type(uint256).max`) if the `needle` is not found.
    function indexOf(bytes memory subject, bytes memory needle, uint256 from)
        internal
        pure
        returns (uint256 result)
    {
        /// @solidity memory-safe-assembly
        assembly {
            result := not(0) // Initialize to `NOT_FOUND`.
            for { let subjectLen := mload(subject) } 1 {} {
                if iszero(mload(needle)) {
                    result := from
                    if iszero(gt(from, subjectLen)) { break }
                    result := subjectLen
                    break
                }
                let needleLen := mload(needle)
                let subjectStart := add(subject, 0x20)

                subject := add(subjectStart, from)
                let end := add(sub(add(subjectStart, subjectLen), needleLen), 1)
                let m := shl(3, sub(0x20, and(needleLen, 0x1f)))
                let s := mload(add(needle, 0x20))

                if iszero(and(lt(subject, end), lt(from, subjectLen))) { break }

                if iszero(lt(needleLen, 0x20)) {
                    for { let h := keccak256(add(needle, 0x20), needleLen) } 1 {} {
                        if iszero(shr(m, xor(mload(subject), s))) {
                            if eq(keccak256(subject, needleLen), h) {
                                result := sub(subject, subjectStart)
                                break
                            }
                        }
                        subject := add(subject, 1)
                        if iszero(lt(subject, end)) { break }
                    }
                    break
                }
                for {} 1 {} {
                    if iszero(shr(m, xor(mload(subject), s))) {
                        result := sub(subject, subjectStart)
                        break
                    }
                    subject := add(subject, 1)
                    if iszero(lt(subject, end)) { break }
                }
                break
            }
        }
    }

    /// @dev Returns the byte index of the first location of `needle` in `subject`,
    /// needleing from left to right.
    /// Returns `NOT_FOUND` (i.e. `type(uint256).max`) if the `needle` is not found.
    function indexOf(bytes memory subject, bytes memory needle) internal pure returns (uint256) {
        return indexOf(subject, needle, 0);
    }

    /// @dev Returns the byte index of the first location of `needle` in `subject`,
    /// needleing from right to left, starting from `from`.
    /// Returns `NOT_FOUND` (i.e. `type(uint256).max`) if the `needle` is not found.
    function lastIndexOf(bytes memory subject, bytes memory needle, uint256 from)
        internal
        pure
        returns (uint256 result)
    {
        /// @solidity memory-safe-assembly
        assembly {
            for {} 1 {} {
                result := not(0) // Initialize to `NOT_FOUND`.
                let needleLen := mload(needle)
                if gt(needleLen, mload(subject)) { break }
                let w := result

                let fromMax := sub(mload(subject), needleLen)
                if iszero(gt(fromMax, from)) { from := fromMax }

                let end := add(add(subject, 0x20), w)
                subject := add(add(subject, 0x20), from)
                if iszero(gt(subject, end)) { break }
                // As this function is not too often used,
                // we shall simply use keccak256 for smaller bytecode size.
                for { let h := keccak256(add(needle, 0x20), needleLen) } 1 {} {
                    if eq(keccak256(subject, needleLen), h) {
                        result := sub(subject, add(end, 1))
                        break
                    }
                    subject := add(subject, w) // `sub(subject, 1)`.
                    if iszero(gt(subject, end)) { break }
                }
                break
            }
        }
    }

    /// @dev Returns the byte index of the first location of `needle` in `subject`,
    /// needleing from right to left.
    /// Returns `NOT_FOUND` (i.e. `type(uint256).max`) if the `needle` is not found.
    function lastIndexOf(bytes memory subject, bytes memory needle)
        internal
        pure
        returns (uint256)
    {
        return lastIndexOf(subject, needle, type(uint256).max);
    }

    /// @dev Returns true if `needle` is found in `subject`, false otherwise.
    function contains(bytes memory subject, bytes memory needle) internal pure returns (bool) {
        return indexOf(subject, needle) != NOT_FOUND;
    }

    /// @dev Returns whether `subject` starts with `needle`.
    function startsWith(bytes memory subject, bytes memory needle)
        internal
        pure
        returns (bool result)
    {
        /// @solidity memory-safe-assembly
        assembly {
            let n := mload(needle)
            // Just using keccak256 directly is actually cheaper.
            let t := eq(keccak256(add(subject, 0x20), n), keccak256(add(needle, 0x20), n))
            result := lt(gt(n, mload(subject)), t)
        }
    }

    /// @dev Returns whether `subject` ends with `needle`.
    function endsWith(bytes memory subject, bytes memory needle)
        internal
        pure
        returns (bool result)
    {
        /// @solidity memory-safe-assembly
        assembly {
            let n := mload(needle)
            let notInRange := gt(n, mload(subject))
            // `subject + 0x20 + max(subject.length - needle.length, 0)`.
            let t := add(add(subject, 0x20), mul(iszero(notInRange), sub(mload(subject), n)))
            // Just using keccak256 directly is actually cheaper.
            result := gt(eq(keccak256(t, n), keccak256(add(needle, 0x20), n)), notInRange)
        }
    }

    /// @dev Returns `subject` repeated `times`.
    function repeat(bytes memory subject, uint256 times)
        internal
        pure
        returns (bytes memory result)
    {
        /// @solidity memory-safe-assembly
        assembly {
            let l := mload(subject) // Subject length.
            if iszero(or(iszero(times), iszero(l))) {
                result := mload(0x40)
                subject := add(subject, 0x20)
                let o := add(result, 0x20)
                for {} 1 {} {
                    // Copy the `subject` one word at a time.
                    for { let j := 0 } 1 {} {
                        mstore(add(o, j), mload(add(subject, j)))
                        j := add(j, 0x20)
                        if iszero(lt(j, l)) { break }
                    }
                    o := add(o, l)
                    times := sub(times, 1)
                    if iszero(times) { break }
                }
                mstore(o, 0) // Zeroize the slot after the bytes.
                mstore(0x40, add(o, 0x20)) // Allocate memory.
                mstore(result, sub(o, add(result, 0x20))) // Store the length.
            }
        }
    }

    /// @dev Returns a copy of `subject` sliced from `start` to `end` (exclusive).
    /// `start` and `end` are byte offsets.
    function slice(bytes memory subject, uint256 start, uint256 end)
        internal
        pure
        returns (bytes memory result)
    {
        /// @solidity memory-safe-assembly
        assembly {
            let l := mload(subject) // Subject length.
            if iszero(gt(l, end)) { end := l }
            if iszero(gt(l, start)) { start := l }
            if lt(start, end) {
                result := mload(0x40)
                let n := sub(end, start)
                let i := add(subject, start)
                let w := not(0x1f)
                // Copy the `subject` one word at a time, backwards.
                for { let j := and(add(n, 0x1f), w) } 1 {} {
                    mstore(add(result, j), mload(add(i, j)))
                    j := add(j, w) // `sub(j, 0x20)`.
                    if iszero(j) { break }
                }
                let o := add(add(result, 0x20), n)
                mstore(o, 0) // Zeroize the slot after the bytes.
                mstore(0x40, add(o, 0x20)) // Allocate memory.
                mstore(result, n) // Store the length.
            }
        }
    }

    /// @dev Returns a copy of `subject` sliced from `start` to the end of the bytes.
    /// `start` is a byte offset.
    function slice(bytes memory subject, uint256 start)
        internal
        pure
        returns (bytes memory result)
    {
        result = slice(subject, start, type(uint256).max);
    }

    /// @dev Reduces the size of `subject` to `n`.
    /// If `n` is greater than the size of `subject`, this will be a no-op.
    function truncate(bytes memory subject, uint256 n)
        internal
        pure
        returns (bytes memory result)
    {
        /// @solidity memory-safe-assembly
        assembly {
            result := subject
            mstore(mul(lt(n, mload(result)), result), n)
        }
    }

    /// @dev Returns a copy of `subject`, with the length reduced to `n`.
    /// If `n` is greater than the size of `subject`, this will be a no-op.
    function truncatedCalldata(bytes calldata subject, uint256 n)
        internal
        pure
        returns (bytes calldata result)
    {
        /// @solidity memory-safe-assembly
        assembly {
            result.offset := subject.offset
            result.length := xor(n, mul(xor(n, subject.length), lt(subject.length, n)))
        }
    }

    /// @dev Returns all the indices of `needle` in `subject`.
    /// The indices are byte offsets.
    function indicesOf(bytes memory subject, bytes memory needle)
        internal
        pure
        returns (uint256[] memory result)
    {
        /// @solidity memory-safe-assembly
        assembly {
            let searchLen := mload(needle)
            if iszero(gt(searchLen, mload(subject))) {
                result := mload(0x40)
                let i := add(subject, 0x20)
                let o := add(result, 0x20)
                let subjectSearchEnd := add(sub(add(i, mload(subject)), searchLen), 1)
                let h := 0 // The hash of `needle`.
                if iszero(lt(searchLen, 0x20)) { h := keccak256(add(needle, 0x20), searchLen) }
                let s := mload(add(needle, 0x20))
                for { let m := shl(3, sub(0x20, and(searchLen, 0x1f))) } 1 {} {
                    let t := mload(i)
                    // Whether the first `searchLen % 32` bytes of `subject` and `needle` matches.
                    if iszero(shr(m, xor(t, s))) {
                        if h {
                            if iszero(eq(keccak256(i, searchLen), h)) {
                                i := add(i, 1)
                                if iszero(lt(i, subjectSearchEnd)) { break }
                                continue
                            }
                        }
                        mstore(o, sub(i, add(subject, 0x20))) // Append to `result`.
                        o := add(o, 0x20)
                        i := add(i, searchLen) // Advance `i` by `searchLen`.
                        if searchLen {
                            if iszero(lt(i, subjectSearchEnd)) { break }
                            continue
                        }
                    }
                    i := add(i, 1)
                    if iszero(lt(i, subjectSearchEnd)) { break }
                }
                mstore(result, shr(5, sub(o, add(result, 0x20)))) // Store the length of `result`.
                // Allocate memory for result.
                // We allocate one more word, so this array can be recycled for {split}.
                mstore(0x40, add(o, 0x20))
            }
        }
    }

    /// @dev Returns a arrays of bytess based on the `delimiter` inside of the `subject` bytes.
    function split(bytes memory subject, bytes memory delimiter)
        internal
        pure
        returns (bytes[] memory result)
    {
        uint256[] memory indices = indicesOf(subject, delimiter);
        /// @solidity memory-safe-assembly
        assembly {
            let w := not(0x1f)
            let indexPtr := add(indices, 0x20)
            let indicesEnd := add(indexPtr, shl(5, add(mload(indices), 1)))
            mstore(add(indicesEnd, w), mload(subject))
            mstore(indices, add(mload(indices), 1))
            for { let prevIndex := 0 } 1 {} {
                let index := mload(indexPtr)
                mstore(indexPtr, 0x60)
                if iszero(eq(index, prevIndex)) {
                    let element := mload(0x40)
                    let l := sub(index, prevIndex)
                    mstore(element, l) // Store the length of the element.
                    // Copy the `subject` one word at a time, backwards.
                    for { let o := and(add(l, 0x1f), w) } 1 {} {
                        mstore(add(element, o), mload(add(add(subject, prevIndex), o)))
                        o := add(o, w) // `sub(o, 0x20)`.
                        if iszero(o) { break }
                    }
                    mstore(add(add(element, 0x20), l), 0) // Zeroize the slot after the bytes.
                    // Allocate memory for the length and the bytes, rounded up to a multiple of 32.
                    mstore(0x40, add(element, and(add(l, 0x3f), w)))
                    mstore(indexPtr, element) // Store the `element` into the array.
                }
                prevIndex := add(index, mload(delimiter))
                indexPtr := add(indexPtr, 0x20)
                if iszero(lt(indexPtr, indicesEnd)) { break }
            }
            result := indices
            if iszero(mload(delimiter)) {
                result := add(indices, 0x20)
                mstore(result, sub(mload(indices), 2))
            }
        }
    }

    /// @dev Returns a concatenated bytes of `a` and `b`.
    /// Cheaper than `bytes.concat()` and does not de-align the free memory pointer.
    function concat(bytes memory a, bytes memory b) internal pure returns (bytes memory result) {
        /// @solidity memory-safe-assembly
        assembly {
            result := mload(0x40)
            let w := not(0x1f)
            let aLen := mload(a)
            // Copy `a` one word at a time, backwards.
            for { let o := and(add(aLen, 0x20), w) } 1 {} {
                mstore(add(result, o), mload(add(a, o)))
                o := add(o, w) // `sub(o, 0x20)`.
                if iszero(o) { break }
            }
            let bLen := mload(b)
            let output := add(result, aLen)
            // Copy `b` one word at a time, backwards.
            for { let o := and(add(bLen, 0x20), w) } 1 {} {
                mstore(add(output, o), mload(add(b, o)))
                o := add(o, w) // `sub(o, 0x20)`.
                if iszero(o) { break }
            }
            let totalLen := add(aLen, bLen)
            let last := add(add(result, 0x20), totalLen)
            mstore(last, 0) // Zeroize the slot after the bytes.
            mstore(result, totalLen) // Store the length.
            mstore(0x40, add(last, 0x20)) // Allocate memory.
        }
    }

    /// @dev Returns whether `a` equals `b`.
    function eq(bytes memory a, bytes memory b) internal pure returns (bool result) {
        /// @solidity memory-safe-assembly
        assembly {
            result := eq(keccak256(add(a, 0x20), mload(a)), keccak256(add(b, 0x20), mload(b)))
        }
    }

    /// @dev Returns whether `a` equals `b`, where `b` is a null-terminated small bytes.
    function eqs(bytes memory a, bytes32 b) internal pure returns (bool result) {
        /// @solidity memory-safe-assembly
        assembly {
            // These should be evaluated on compile time, as far as possible.
            let m := not(shl(7, div(not(iszero(b)), 255))) // `0x7f7f ...`.
            let x := not(or(m, or(b, add(m, and(b, m)))))
            let r := shl(7, iszero(iszero(shr(128, x))))
            r := or(r, shl(6, iszero(iszero(shr(64, shr(r, x))))))
            r := or(r, shl(5, lt(0xffffffff, shr(r, x))))
            r := or(r, shl(4, lt(0xffff, shr(r, x))))
            r := or(r, shl(3, lt(0xff, shr(r, x))))
            // forgefmt: disable-next-item
            result := gt(eq(mload(a), add(iszero(x), xor(31, shr(3, r)))),
                xor(shr(add(8, r), b), shr(add(8, r), mload(add(a, 0x20)))))
        }
    }

    /// @dev Directly returns `a` without copying.
    function directReturn(bytes memory a) internal pure {
        assembly {
            // Assumes that the bytes does not start from the scratch space.
            let retStart := sub(a, 0x20)
            let retUnpaddedSize := add(mload(a), 0x40)
            // Right pad with zeroes. Just in case the bytes is produced
            // by a method that doesn't zero right pad.
            mstore(add(retStart, retUnpaddedSize), 0)
            mstore(retStart, 0x20) // Store the return offset.
            // End the transaction, returning the bytes.
            return(retStart, and(not(0x1f), add(0x1f, retUnpaddedSize)))
        }
    }

    /// @dev Returns the word at `offset`, without any bounds checks.
    /// To load an address, you can use `address(bytes20(load(a, offset)))`.
    function load(bytes memory a, uint256 offset) internal pure returns (bytes32 result) {
        /// @solidity memory-safe-assembly
        assembly {
            result := mload(add(add(a, 0x20), offset))
        }
    }

    /// @dev Returns the word at `offset`, without any bounds checks.
    /// To load an address, you can use `address(bytes20(loadCalldata(a, offset)))`.
    function loadCalldata(bytes calldata a, uint256 offset)
        internal
        pure
        returns (bytes32 result)
    {
        /// @solidity memory-safe-assembly
        assembly {
            result := calldataload(add(a.offset, offset))
        }
    }
}

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    "@chimera/=lib/V2-gov/lib/chimera/src/",
    "@ensdomains/=lib/V2-gov/lib/v4-core/node_modules/@ensdomains/",
    "@openzeppelin/=lib/V2-gov/lib/v4-core/lib/openzeppelin-contracts/",
    "@openzeppelin/contracts/=lib/openzeppelin-contracts/contracts/",
    "Solady/=lib/Solady/src/",
    "V2-gov/=lib/V2-gov/",
    "chimera/=lib/V2-gov/lib/chimera/src/",
    "ds-test/=lib/openzeppelin-contracts/lib/forge-std/lib/ds-test/src/",
    "erc4626-tests/=lib/openzeppelin-contracts/lib/erc4626-tests/",
    "forge-gas-snapshot/=lib/V2-gov/lib/v4-core/lib/forge-gas-snapshot/src/",
    "forge-std/=lib/forge-std/src/",
    "halmos-cheatcodes/=lib/openzeppelin-contracts/lib/halmos-cheatcodes/src/",
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    "openzeppelin/=lib/V2-gov/lib/openzeppelin-contracts/",
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    "v4-core/=lib/V2-gov/lib/v4-core/"
  ],
  "optimizer": {
    "enabled": true,
    "runs": 200
  },
  "metadata": {
    "useLiteralContent": false,
    "bytecodeHash": "ipfs",
    "appendCBOR": true
  },
  "outputSelection": {
    "*": {
      "*": [
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[{"inputs":[{"internalType":"contract IAddressesRegistry","name":"_addressesRegistry","type":"address"}],"stateMutability":"nonpayable","type":"constructor"},{"inputs":[{"internalType":"address","name":"sender","type":"address"},{"internalType":"uint256","name":"tokenId","type":"uint256"},{"internalType":"address","name":"owner","type":"address"}],"name":"ERC721IncorrectOwner","type":"error"},{"inputs":[{"internalType":"address","name":"operator","type":"address"},{"internalType":"uint256","name":"tokenId","type":"uint256"}],"name":"ERC721InsufficientApproval","type":"error"},{"inputs":[{"internalType":"address","name":"approver","type":"address"}],"name":"ERC721InvalidApprover","type":"error"},{"inputs":[{"internalType":"address","name":"operator","type":"address"}],"name":"ERC721InvalidOperator","type":"error"},{"inputs":[{"internalType":"address","name":"owner","type":"address"}],"name":"ERC721InvalidOwner","type":"error"},{"inputs":[{"internalType":"address","name":"receiver","type":"address"}],"name":"ERC721InvalidReceiver","type":"error"},{"inputs":[{"internalType":"address","name":"sender","type":"address"}],"name":"ERC721InvalidSender","type":"error"},{"inputs":[{"internalType":"uint256","name":"tokenId","type":"uint256"}],"name":"ERC721NonexistentToken","type":"error"},{"anonymous":false,"inputs":[{"indexed":true,"internalType":"address","name":"owner","type":"address"},{"indexed":true,"internalType":"address","name":"approved","type":"address"},{"indexed":true,"internalType":"uint256","name":"tokenId","type":"uint256"}],"name":"Approval","type":"event"},{"anonymous":false,"inputs":[{"indexed":true,"internalType":"address","name":"owner","type":"address"},{"indexed":true,"internalType":"address","name":"operator","type":"address"},{"indexed":false,"internalType":"bool","name":"approved","type":"bool"}],"name":"ApprovalForAll","type":"event"},{"anonymous":false,"inputs":[{"indexed":true,"internalType":"address","name":"from","type":"address"},{"indexed":true,"internalType":"address","name":"to","type":"address"},{"indexed":true,"internalType":"uint256","name":"tokenId","type":"uint256"}],"name":"Transfer","type":"event"},{"inputs":[{"internalType":"address","name":"to","type":"address"},{"internalType":"uint256","name":"tokenId","type":"uint256"}],"name":"approve","outputs":[],"stateMutability":"nonpayable","type":"function"},{"inputs":[{"internalType":"address","name":"owner","type":"address"}],"name":"balanceOf","outputs":[{"internalType":"uint256","name":"","type":"uint256"}],"stateMutability":"view","type":"function"},{"inputs":[{"internalType":"uint256","name":"_troveId","type":"uint256"}],"name":"burn","outputs":[],"stateMutability":"nonpayable","type":"function"},{"inputs":[{"internalType":"uint256","name":"tokenId","type":"uint256"}],"name":"getApproved","outputs":[{"internalType":"address","name":"","type":"address"}],"stateMutability":"view","type":"function"},{"inputs":[{"internalType":"address","name":"owner","type":"address"},{"internalType":"address","name":"operator","type":"address"}],"name":"isApprovedForAll","outputs":[{"internalType":"bool","name":"","type":"bool"}],"stateMutability":"view","type":"function"},{"inputs":[],"name":"metadataNFT","outputs":[{"internalType":"contract IMetadataNFT","name":"","type":"address"}],"stateMutability":"view","type":"function"},{"inputs":[{"internalType":"address","name":"_owner","type":"address"},{"internalType":"uint256","name":"_troveId","type":"uint256"}],"name":"mint","outputs":[],"stateMutability":"nonpayable","type":"function"},{"inputs":[],"name":"name","outputs":[{"internalType":"string","name":"","type":"string"}],"stateMutability":"view","type":"function"},{"inputs":[{"internalType":"uint256","name":"tokenId","type":"uint256"}],"name":"ownerOf","outputs":[{"internalType":"address","name":"","type":"address"}],"stateMutability":"view","type":"function"},{"inputs":[{"internalType":"address","name":"from","type":"address"},{"internalType":"address","name":"to","type":"address"},{"internalType":"uint256","name":"tokenId","type":"uint256"}],"name":"safeTransferFrom","outputs":[],"stateMutability":"nonpayable","type":"function"},{"inputs":[{"internalType":"address","name":"from","type":"address"},{"internalType":"address","name":"to","type":"address"},{"internalType":"uint256","name":"tokenId","type":"uint256"},{"internalType":"bytes","name":"data","type":"bytes"}],"name":"safeTransferFrom","outputs":[],"stateMutability":"nonpayable","type":"function"},{"inputs":[{"internalType":"address","name":"operator","type":"address"},{"internalType":"bool","name":"approved","type":"bool"}],"name":"setApprovalForAll","outputs":[],"stateMutability":"nonpayable","type":"function"},{"inputs":[{"internalType":"bytes4","name":"interfaceId","type":"bytes4"}],"name":"supportsInterface","outputs":[{"internalType":"bool","name":"","type":"bool"}],"stateMutability":"view","type":"function"},{"inputs":[],"name":"symbol","outputs":[{"internalType":"string","name":"","type":"string"}],"stateMutability":"view","type":"function"},{"inputs":[{"internalType":"uint256","name":"_tokenId","type":"uint256"}],"name":"tokenURI","outputs":[{"internalType":"string","name":"","type":"string"}],"stateMutability":"view","type":"function"},{"inputs":[{"internalType":"address","name":"from","type":"address"},{"internalType":"address","name":"to","type":"address"},{"internalType":"uint256","name":"tokenId","type":"uint256"}],"name":"transferFrom","outputs":[],"stateMutability":"nonpayable","type":"function"},{"inputs":[],"name":"troveManager","outputs":[{"internalType":"contract ITroveManager","name":"","type":"address"}],"stateMutability":"view","type":"function"}]

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00000000000000000000000036b9adccf2a08839ddc342d7a9d259b984fbd855

-----Decoded View---------------
Arg [0] : _addressesRegistry (address): 0x36b9ADccF2a08839DDC342d7a9D259B984fbD855

-----Encoded View---------------
1 Constructor Arguments found :
Arg [0] : 00000000000000000000000036b9adccf2a08839ddc342d7a9d259b984fbd855