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pragma solidity 0.8.20;

import "lib/openzeppelin-contracts/contracts/access/extensions/AccessControlDefaultAdminRules.sol";
import "./ERC20BurnMint.sol";
import "./RateLimiter.sol";

/**
 * @title BridgeWrapper
 * @author Tensorplex Labs
 * @notice BridgeWrapper helps to facilitate a burns & mint bridge between a source chain and Ethereum.
 *         Specifically, this contract holds the logic to mint and burn the wrapped Token. 
 *         A relayer will be used to ensure burn / mint is executed with its corresponding event on the source chain.
 *         In the short-term we will use this set of contracts to bridge TAO from BitTensor to a new wrapped TAO token on Ethereum (name TBD).
 *         In the long-term we hope to re-use this contract for bridging between future partner blockchains and Ethereum.
 * 
 * @dev For extra security, a rateLimit is implemented to restrict the amount of wrapped token that can be burned / minted in a time period.
 * @dev Likewise, we have implemented a maximumAmount for the same reason. 
 * 
 */
contract BridgeWrapper is AccessControlDefaultAdminRules {
    // Libraries 
    using RateLimiter for RateLimiter.RateLimit;

    // Errors
    error AmountGreaterThanMax(uint256 inputAmount, uint256 maximumAmount);
    error AmountLesserThanMin(uint256 inputAmount, uint256 minimumAmount);
    error BurnLimitExceeded();
    error MintLimitExceeded();
    error OutgoingAmountAfterFeesIsZero();
    error InvalidChainID();

    // Roles
    // APPROVE_TRANSFER_ROLE and FEE_CONFIG_ROLE will be granted to Tensorplex Multisig wallets that will administer the bridge and relevant contracts. 
    // APPROVE_TRANSFER_ROLE permits user to call receiveFromChain() which triggers transfer of tokens from a source chain to Ethereum.
    bytes32 public constant APPROVE_TRANSFER_ROLE = keccak256("APPROVE_TRANSFER_ROLE"); 
    // FEE_CONFIG_ROLE permits user to set values in the following functions:
    // 1. setBaseFee, 2. setServiceFee, 3. setMinimumAmount, 4. setMaximumAmount)
    bytes32 public constant FEE_CONFIG_ROLE = keccak256("FEE_CONFIG_ROLE");
    // 
    bytes32 public constant MINT_BURN_UPDATE_ROLE = keccak256("MINT_BURN_UPDATE_ROLE"); 


    // State Variables
    //wToken is a generic wrapped Token. It is intended to be a Etherum wrapped version of the source chain's token.
    // this wToken instance is expected to be the address of our deployed ERC20BurnMint contract.
    ERC20BurnMint public immutable wToken; 
    RateLimiter.RateLimit private mintRateLimiter;
    RateLimiter.RateLimit private burnRateLimiter;

    // State Vars
    uint256 public baseFee; // a flat fee. If it is 0.05 x 10^6 TAO, mean 0.05% of fees will be charged
    uint256 public serviceFee; // E.g. If value is 1. 0.1% service Fee will be applied as a percentage of the overall TAO deposited after calculating base fee. Every "1" refers to 0.1% since it is divided by 1000
    uint256 public minimumAmount; // Minimuim amount that can be bridged in a single transaction
    uint256 public maximumAmount; // Max amount that can be bridged in a single transaction
    mapping(uint16 => bool) public  sourceChainIDs; // contains all permissble chainIDs to recieve from. 
    mapping(uint16 => bool) public  destChainIDs; // contains all permisslbe chainIDs to send to.

    // Events
    event SendToChain(
        uint16 indexed _dstChainId,
        string _dstTokenAddress,
        address indexed _from,
        string _toAddress,
        uint256 _amount,
        uint256 _fees,
        uint256 _amtAfterFees, 
        address _refundAddress
        );
    event ReceiveFromChain(uint16 indexed _srcChainId, address indexed _to, uint _amount);

    /**
     * @dev initializes the BridgeWrapper contract
     * 
     * @param _token should be the address of our deployed ERC20BurnMint wrapped token contract.
     * @param initialOwner The initial owner of the contract.
     * @param maxBurnCapacity The maximum burn capacity for rate limiting.
     * @param burnRefillRate The refill rate for burn rate limiting.
     * @param maxMintCapacity The maximum mint capacity for rate limiting.
     * @param mintRefillRate The refill rate for mint rate limiting.
     * @param _baseFee is the a flat fee that is charged in sendFromChain
     * @param _serviceFee is the a percentage fee that is charged in sendFromChain
     * @param _minimumAmount is the minimum permissble amount to input in sendFromChain
     * @param _maximumAmount is the max permissible amount to input in sendFromChain 
     * @param _sourceChainID is the initial chain that the contract can recieve tokens from
     * @param _destChainID is the initial chain that contract can send tokens to.
     */
    constructor(
        ERC20BurnMint _token, 
        address initialOwner,
        uint256 maxBurnCapacity,
        uint256 burnRefillRate, 
        uint256 maxMintCapacity,
        uint256 mintRefillRate,
        uint256 _baseFee,
        uint256 _serviceFee,
        uint256 _minimumAmount,
        uint256 _maximumAmount,
        uint16 _sourceChainID,
        uint16 _destChainID
    ) AccessControlDefaultAdminRules(1 hours, initialOwner){
        require(_minimumAmount > 0, "min amount must be greater than 0");
        require(_maximumAmount >= _minimumAmount, "max amount must be greater than min amount");
        require(_maximumAmount >= _baseFee, "max amount must be greater than base fee");
        require(address(_token) != address(0), "Token address cannot be the zero address");
        require(_serviceFee <= 500, "service fee cannot exceed 5%");
        wToken = _token;
        _grantRole(FEE_CONFIG_ROLE, initialOwner);
        _grantRole(APPROVE_TRANSFER_ROLE, initialOwner);

        burnRateLimiter.initialize(maxBurnCapacity, burnRefillRate);
        mintRateLimiter.initialize(maxMintCapacity, mintRefillRate);

        baseFee = _baseFee;
        serviceFee = _serviceFee;
        minimumAmount = _minimumAmount;
        maximumAmount = _maximumAmount;
        sourceChainIDs[_sourceChainID] = true;
        destChainIDs[_destChainID] = true;
    }
    
    
    /**
     * @notice sendToChain sends tokens from Ethereum to another chain. Can be called by any user who burns wrapped token for native token on destination chain.
     * @dev   The SendToChain event should be relayed to destination chain to trigger the corresponding mint / transfer action.
     * @dev   This function calculates and applies a flat base fee and a percentage service fee.
     * @dev   The full amount of tokens will be burned on Ethereum. It is expected that a corresponding amount of native token will be transfered to user on the destination chain. 
     * @dev   The fees will be collected on BitTensor. We intend to use a relayer indexer to implement this process.
     * 
     * @param _amount The amount of tokens to send.
     * @param _dstChainId The unique ID of the destination chain. This ID should be registered in destChainIDs to successfully send tokens.
     * @param _dstTokenAddress The address of the token on the destination chain.
     * @param _dstRecipient The recipient address on the destination chain.
     * @param _refundAddress The address to refund tokens if the transfer fails.
     */
    function sendToChain(uint256 _amount, uint16 _dstChainId, string memory _dstTokenAddress, string memory _dstRecipient, address _refundAddress) public {
        if (_amount < minimumAmount) revert AmountLesserThanMin(_amount, minimumAmount);
        if (_amount > maximumAmount) revert AmountGreaterThanMax(_amount, maximumAmount);
        if (burnRateLimiter.consume(_amount) == false) revert BurnLimitExceeded();
        if (destChainIDs[_dstChainId] == false) revert InvalidChainID();
        (uint256 totalFee, uint256 amountAfterFees) = getFeeAndApply(_amount);

        wToken.burn(msg.sender, _amount);

        emit SendToChain(_dstChainId, _dstTokenAddress, msg.sender, _dstRecipient, _amount, totalFee, amountAfterFees, _refundAddress);
    }

    /*
     * @notice receiveFromChain facilitates transfer of tokens from a source chain to Ethereum.
     * @dev Can only be called by an address which has APPROVE_TRANSFER_ROLE (We intend for only the Tensorplex multisig wallet accounts to have this role.)
     * @dev This function should be triggered following a corresponding transfer to bridge event on the source chain.
     * @dev a user first deposits a native token on source chain to our bridge wallet address.
     *      Once the deposit is confirmed, this function is triggered, minting the user a corresponding amount of wToken on Ethereum. 
     * 
     * @param _srcChainId The unique ID of the source chain. This ID should be registered in sourceChainIDs to successfully send tokens.
     * @param _amount The amount of tokens received.
     * @param _toAddress The address to mint the tokens to.
     */
    function receiveFromChain(uint16 _srcChainId, uint256 _amount, address _toAddress) public onlyRole(APPROVE_TRANSFER_ROLE) {
        require(_amount > 0, "Amount must be greater than 0");
        if (mintRateLimiter.consume(_amount) == false) revert MintLimitExceeded();
        if (sourceChainIDs[_srcChainId] == false) revert InvalidChainID();
        wToken.mint(_toAddress, _amount);
        emit ReceiveFromChain(_srcChainId, _toAddress, _amount);
    }

    /**
     * @notice Returns the available tokens to burn based on the burn rate limiter.
     * @return The available tokens to mint.
     */
    function getAvailableTokensToBurn() public view returns (uint256) {
        return burnRateLimiter.getAvailableTokens();
    }   
    /**
     * @notice Returns the available tokens to mint based on the mint rate limiter.
     * @return The available tokens to mint.
     */
    function getAvailableTokensToMint() public view returns (uint256) {
        return mintRateLimiter.getAvailableTokens();
    }   

    // @notice called by FEE_CONFIG_ROLE to change baseFee
    function setBaseFee(uint256 _baseFee) public onlyRole(FEE_CONFIG_ROLE) {
        baseFee = _baseFee;
    } 

    // @notice: called by FEE_CONFIG_ROLE to change serviceFee
    function setServiceFee(uint256 _serviceFee) public onlyRole(FEE_CONFIG_ROLE) {
        require(_serviceFee <= 500, "service fee cannot exceed 5%");
        serviceFee = _serviceFee;
    }

    // @notice: called by FEE_CONFIG_ROLE to change minimumAmount which is the minimum permissible amount for sendToChain
    function setMinimumAmount(uint256 _minimumAmount) public onlyRole(FEE_CONFIG_ROLE) {
        require(_minimumAmount <= maximumAmount, "min amount must be less than or equal to max amount");
        require(_minimumAmount > 0, "min amount must be greater than 0");
        require(_minimumAmount >= baseFee, "min amount must be greater than or equal to base fee");

        minimumAmount = _minimumAmount;
    } 

    // @notice: called by FEE_CONFIG_ROLE to change maximumAmount which is the maximum permissible amount for sendToChain
    function setMaximumAmount(uint256 _maximumAmount) public onlyRole(FEE_CONFIG_ROLE) {
        require(_maximumAmount >= minimumAmount, "max amount must be greater or equal to min amount");
        maximumAmount = _maximumAmount;
    } 

    /**
     * @notice getFeeAndApply takes in an input amount and outputs the total cost of fees and net amount after fees.
     * @dev getFeeAndApply charges a flat fee (baseFee) and a percentage fee (serviceFee) and subtracts this from input amount.
     * @dev The collection of fees will be implemented by the Relayer. Fees are expected to be deducted on BitTensor.
     * Example if total amount is 1.05 TAO and base Fee is 0.05 TAO
     * serviceFeeAmt will only take into account 1 TAO after base fee. 
     * if service Fee is 1, it means service Fee is 1%
     * so percentageFeeAmt will be 0.01 TAO
     * This means the user total potential received is 1.05 TAO - 0.05 TAO (base fee) - 0.01 TAO (service fee) = 0.99 TAO
     * 
     * @param amount is the input amount. The fees will be applied to this amount.
     * @return totalFee is the total value of fees paid
     * @return amountAfterFees is the net amount after fees have been applied.
     */
    function getFeeAndApply(uint256 amount) public view returns (uint256 totalFee, uint256 amountAfterFees){
        uint256 serviceFeeAmt = (((amount - baseFee) * serviceFee) / 1000);
        totalFee = baseFee + serviceFeeAmt;
        amountAfterFees = amount - totalFee;
        require(amountAfterFees > 0, "Amount after fees is 0");
        return (totalFee, amountAfterFees);
    }

    /**
     * @notice setSourceChainID is called by FEE_CONFIG_ROLE and registers/unregisters a chainID to permit sending tokens to that chain. 
     * @param _sourceChainID is the ID to be registered/unregistered
     * @param status is the boolean value to indicate registration status.
     */
    function setSourceChainID (uint16 _sourceChainID, bool status) public onlyRole(FEE_CONFIG_ROLE) {
        sourceChainIDs[_sourceChainID] = status;
    }

    /**
     * @notice setDestChainID is called by FEE_CONFIG_ROLE and registers/unregisters a chainID to permit receiving tokens from that chain. 
     * @param _destChainID is the ID to be registered/unregistered
     * @param status is the boolean value to indicate registration status.
     */
    function setDestChainID (uint16 _destChainID, bool status) public onlyRole(FEE_CONFIG_ROLE) {
        destChainIDs[_destChainID] = status;
    }

    /*
     *
     * Added burn and mint max cacpacity 
     *
     */

    function setBurnRateMaxCapacity(uint256 _maxCapacity) public onlyRole(MINT_BURN_UPDATE_ROLE) {
        burnRateLimiter.maxCapacity = _maxCapacity;
    }

    function setMintRateMaxCapacity(uint256 _maxCapacity) public onlyRole(MINT_BURN_UPDATE_ROLE) {
        // Set max mint rate to 5000 TAO
        require(_maxCapacity <= 5000 * 10**9, "Max capacity cannot exceed 5000 TAO");
        mintRateLimiter.maxCapacity = _maxCapacity;
    }

    function setBurnRateRefillRate(uint256 _refillRate) public onlyRole(MINT_BURN_UPDATE_ROLE) {
        burnRateLimiter.refillRate = _refillRate;
    }

    function setMintRateRefillRate(uint256 _refillRate) public onlyRole(MINT_BURN_UPDATE_ROLE) {
        require(_refillRate <= 83 * 10**9, "Max refill rate cannot exceed 83 TAO per minute");
        mintRateLimiter.refillRate = _refillRate;
    }

    function getMintRateRefillRate() public view returns (uint256) {
        return mintRateLimiter.refillRate;
    }
    function getBurnRateRefillRate() public view returns (uint256) {
        return burnRateLimiter.refillRate;
    }
    function getMintRateMaxCapacity() public view returns (uint256) {
        return mintRateLimiter.maxCapacity;
    }
    function getBurnRateMaxCapacity() public view returns (uint256) {
        return burnRateLimiter.maxCapacity;
    }
}

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

pragma solidity ^0.8.20;

import {IAccessControl} from "./IAccessControl.sol";
import {Context} from "../utils/Context.sol";
import {ERC165} from "../utils/introspection/ERC165.sol";

/**
 * @dev Contract module that allows children to implement role-based access
 * control mechanisms. This is a lightweight version that doesn't allow enumerating role
 * members except through off-chain means by accessing the contract event logs. Some
 * applications may benefit from on-chain enumerability, for those cases see
 * {AccessControlEnumerable}.
 *
 * Roles are referred to by their `bytes32` identifier. These should be exposed
 * in the external API and be unique. The best way to achieve this is by
 * using `public constant` hash digests:
 *
 * ```solidity
 * bytes32 public constant MY_ROLE = keccak256("MY_ROLE");
 * ```
 *
 * Roles can be used to represent a set of permissions. To restrict access to a
 * function call, use {hasRole}:
 *
 * ```solidity
 * function foo() public {
 *     require(hasRole(MY_ROLE, msg.sender));
 *     ...
 * }
 * ```
 *
 * Roles can be granted and revoked dynamically via the {grantRole} and
 * {revokeRole} functions. Each role has an associated admin role, and only
 * accounts that have a role's admin role can call {grantRole} and {revokeRole}.
 *
 * By default, the admin role for all roles is `DEFAULT_ADMIN_ROLE`, which means
 * that only accounts with this role will be able to grant or revoke other
 * roles. More complex role relationships can be created by using
 * {_setRoleAdmin}.
 *
 * WARNING: The `DEFAULT_ADMIN_ROLE` is also its own admin: it has permission to
 * grant and revoke this role. Extra precautions should be taken to secure
 * accounts that have been granted it. We recommend using {AccessControlDefaultAdminRules}
 * to enforce additional security measures for this role.
 */
abstract contract AccessControl is Context, IAccessControl, ERC165 {
    struct RoleData {
        mapping(address account => bool) hasRole;
        bytes32 adminRole;
    }

    mapping(bytes32 role => RoleData) private _roles;

    bytes32 public constant DEFAULT_ADMIN_ROLE = 0x00;

    /**
     * @dev Modifier that checks that an account has a specific role. Reverts
     * with an {AccessControlUnauthorizedAccount} error including the required role.
     */
    modifier onlyRole(bytes32 role) {
        _checkRole(role);
        _;
    }

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

    /**
     * @dev Returns `true` if `account` has been granted `role`.
     */
    function hasRole(bytes32 role, address account) public view virtual returns (bool) {
        return _roles[role].hasRole[account];
    }

    /**
     * @dev Reverts with an {AccessControlUnauthorizedAccount} error if `_msgSender()`
     * is missing `role`. Overriding this function changes the behavior of the {onlyRole} modifier.
     */
    function _checkRole(bytes32 role) internal view virtual {
        _checkRole(role, _msgSender());
    }

    /**
     * @dev Reverts with an {AccessControlUnauthorizedAccount} error if `account`
     * is missing `role`.
     */
    function _checkRole(bytes32 role, address account) internal view virtual {
        if (!hasRole(role, account)) {
            revert AccessControlUnauthorizedAccount(account, role);
        }
    }

    /**
     * @dev Returns the admin role that controls `role`. See {grantRole} and
     * {revokeRole}.
     *
     * To change a role's admin, use {_setRoleAdmin}.
     */
    function getRoleAdmin(bytes32 role) public view virtual returns (bytes32) {
        return _roles[role].adminRole;
    }

    /**
     * @dev Grants `role` to `account`.
     *
     * If `account` had not been already granted `role`, emits a {RoleGranted}
     * event.
     *
     * Requirements:
     *
     * - the caller must have ``role``'s admin role.
     *
     * May emit a {RoleGranted} event.
     */
    function grantRole(bytes32 role, address account) public virtual onlyRole(getRoleAdmin(role)) {
        _grantRole(role, account);
    }

    /**
     * @dev Revokes `role` from `account`.
     *
     * If `account` had been granted `role`, emits a {RoleRevoked} event.
     *
     * Requirements:
     *
     * - the caller must have ``role``'s admin role.
     *
     * May emit a {RoleRevoked} event.
     */
    function revokeRole(bytes32 role, address account) public virtual onlyRole(getRoleAdmin(role)) {
        _revokeRole(role, account);
    }

    /**
     * @dev Revokes `role` from the calling account.
     *
     * Roles are often managed via {grantRole} and {revokeRole}: this function's
     * purpose is to provide a mechanism for accounts to lose their privileges
     * if they are compromised (such as when a trusted device is misplaced).
     *
     * If the calling account had been revoked `role`, emits a {RoleRevoked}
     * event.
     *
     * Requirements:
     *
     * - the caller must be `callerConfirmation`.
     *
     * May emit a {RoleRevoked} event.
     */
    function renounceRole(bytes32 role, address callerConfirmation) public virtual {
        if (callerConfirmation != _msgSender()) {
            revert AccessControlBadConfirmation();
        }

        _revokeRole(role, callerConfirmation);
    }

    /**
     * @dev Sets `adminRole` as ``role``'s admin role.
     *
     * Emits a {RoleAdminChanged} event.
     */
    function _setRoleAdmin(bytes32 role, bytes32 adminRole) internal virtual {
        bytes32 previousAdminRole = getRoleAdmin(role);
        _roles[role].adminRole = adminRole;
        emit RoleAdminChanged(role, previousAdminRole, adminRole);
    }

    /**
     * @dev Attempts to grant `role` to `account` and returns a boolean indicating if `role` was granted.
     *
     * Internal function without access restriction.
     *
     * May emit a {RoleGranted} event.
     */
    function _grantRole(bytes32 role, address account) internal virtual returns (bool) {
        if (!hasRole(role, account)) {
            _roles[role].hasRole[account] = true;
            emit RoleGranted(role, account, _msgSender());
            return true;
        } else {
            return false;
        }
    }

    /**
     * @dev Attempts to revoke `role` to `account` and returns a boolean indicating if `role` was revoked.
     *
     * Internal function without access restriction.
     *
     * May emit a {RoleRevoked} event.
     */
    function _revokeRole(bytes32 role, address account) internal virtual returns (bool) {
        if (hasRole(role, account)) {
            _roles[role].hasRole[account] = false;
            emit RoleRevoked(role, account, _msgSender());
            return true;
        } else {
            return false;
        }
    }
}

// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts (last updated v5.0.0) (access/extensions/AccessControlDefaultAdminRules.sol)

pragma solidity ^0.8.20;

import {IAccessControlDefaultAdminRules} from "./IAccessControlDefaultAdminRules.sol";
import {AccessControl, IAccessControl} from "../AccessControl.sol";
import {SafeCast} from "../../utils/math/SafeCast.sol";
import {Math} from "../../utils/math/Math.sol";
import {IERC5313} from "../../interfaces/IERC5313.sol";

/**
 * @dev Extension of {AccessControl} that allows specifying special rules to manage
 * the `DEFAULT_ADMIN_ROLE` holder, which is a sensitive role with special permissions
 * over other roles that may potentially have privileged rights in the system.
 *
 * If a specific role doesn't have an admin role assigned, the holder of the
 * `DEFAULT_ADMIN_ROLE` will have the ability to grant it and revoke it.
 *
 * This contract implements the following risk mitigations on top of {AccessControl}:
 *
 * * Only one account holds the `DEFAULT_ADMIN_ROLE` since deployment until it's potentially renounced.
 * * Enforces a 2-step process to transfer the `DEFAULT_ADMIN_ROLE` to another account.
 * * Enforces a configurable delay between the two steps, with the ability to cancel before the transfer is accepted.
 * * The delay can be changed by scheduling, see {changeDefaultAdminDelay}.
 * * It is not possible to use another role to manage the `DEFAULT_ADMIN_ROLE`.
 *
 * Example usage:
 *
 * ```solidity
 * contract MyToken is AccessControlDefaultAdminRules {
 *   constructor() AccessControlDefaultAdminRules(
 *     3 days,
 *     msg.sender // Explicit initial `DEFAULT_ADMIN_ROLE` holder
 *    ) {}
 * }
 * ```
 */
abstract contract AccessControlDefaultAdminRules is IAccessControlDefaultAdminRules, IERC5313, AccessControl {
    // pending admin pair read/written together frequently
    address private _pendingDefaultAdmin;
    uint48 private _pendingDefaultAdminSchedule; // 0 == unset

    uint48 private _currentDelay;
    address private _currentDefaultAdmin;

    // pending delay pair read/written together frequently
    uint48 private _pendingDelay;
    uint48 private _pendingDelaySchedule; // 0 == unset

    /**
     * @dev Sets the initial values for {defaultAdminDelay} and {defaultAdmin} address.
     */
    constructor(uint48 initialDelay, address initialDefaultAdmin) {
        if (initialDefaultAdmin == address(0)) {
            revert AccessControlInvalidDefaultAdmin(address(0));
        }
        _currentDelay = initialDelay;
        _grantRole(DEFAULT_ADMIN_ROLE, initialDefaultAdmin);
    }

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

    /**
     * @dev See {IERC5313-owner}.
     */
    function owner() public view virtual returns (address) {
        return defaultAdmin();
    }

    ///
    /// Override AccessControl role management
    ///

    /**
     * @dev See {AccessControl-grantRole}. Reverts for `DEFAULT_ADMIN_ROLE`.
     */
    function grantRole(bytes32 role, address account) public virtual override(AccessControl, IAccessControl) {
        if (role == DEFAULT_ADMIN_ROLE) {
            revert AccessControlEnforcedDefaultAdminRules();
        }
        super.grantRole(role, account);
    }

    /**
     * @dev See {AccessControl-revokeRole}. Reverts for `DEFAULT_ADMIN_ROLE`.
     */
    function revokeRole(bytes32 role, address account) public virtual override(AccessControl, IAccessControl) {
        if (role == DEFAULT_ADMIN_ROLE) {
            revert AccessControlEnforcedDefaultAdminRules();
        }
        super.revokeRole(role, account);
    }

    /**
     * @dev See {AccessControl-renounceRole}.
     *
     * For the `DEFAULT_ADMIN_ROLE`, it only allows renouncing in two steps by first calling
     * {beginDefaultAdminTransfer} to the `address(0)`, so it's required that the {pendingDefaultAdmin} schedule
     * has also passed when calling this function.
     *
     * After its execution, it will not be possible to call `onlyRole(DEFAULT_ADMIN_ROLE)` functions.
     *
     * NOTE: Renouncing `DEFAULT_ADMIN_ROLE` will leave the contract without a {defaultAdmin},
     * thereby disabling any functionality that is only available for it, and the possibility of reassigning a
     * non-administrated role.
     */
    function renounceRole(bytes32 role, address account) public virtual override(AccessControl, IAccessControl) {
        if (role == DEFAULT_ADMIN_ROLE && account == defaultAdmin()) {
            (address newDefaultAdmin, uint48 schedule) = pendingDefaultAdmin();
            if (newDefaultAdmin != address(0) || !_isScheduleSet(schedule) || !_hasSchedulePassed(schedule)) {
                revert AccessControlEnforcedDefaultAdminDelay(schedule);
            }
            delete _pendingDefaultAdminSchedule;
        }
        super.renounceRole(role, account);
    }

    /**
     * @dev See {AccessControl-_grantRole}.
     *
     * For `DEFAULT_ADMIN_ROLE`, it only allows granting if there isn't already a {defaultAdmin} or if the
     * role has been previously renounced.
     *
     * NOTE: Exposing this function through another mechanism may make the `DEFAULT_ADMIN_ROLE`
     * assignable again. Make sure to guarantee this is the expected behavior in your implementation.
     */
    function _grantRole(bytes32 role, address account) internal virtual override returns (bool) {
        if (role == DEFAULT_ADMIN_ROLE) {
            if (defaultAdmin() != address(0)) {
                revert AccessControlEnforcedDefaultAdminRules();
            }
            _currentDefaultAdmin = account;
        }
        return super._grantRole(role, account);
    }

    /**
     * @dev See {AccessControl-_revokeRole}.
     */
    function _revokeRole(bytes32 role, address account) internal virtual override returns (bool) {
        if (role == DEFAULT_ADMIN_ROLE && account == defaultAdmin()) {
            delete _currentDefaultAdmin;
        }
        return super._revokeRole(role, account);
    }

    /**
     * @dev See {AccessControl-_setRoleAdmin}. Reverts for `DEFAULT_ADMIN_ROLE`.
     */
    function _setRoleAdmin(bytes32 role, bytes32 adminRole) internal virtual override {
        if (role == DEFAULT_ADMIN_ROLE) {
            revert AccessControlEnforcedDefaultAdminRules();
        }
        super._setRoleAdmin(role, adminRole);
    }

    ///
    /// AccessControlDefaultAdminRules accessors
    ///

    /**
     * @inheritdoc IAccessControlDefaultAdminRules
     */
    function defaultAdmin() public view virtual returns (address) {
        return _currentDefaultAdmin;
    }

    /**
     * @inheritdoc IAccessControlDefaultAdminRules
     */
    function pendingDefaultAdmin() public view virtual returns (address newAdmin, uint48 schedule) {
        return (_pendingDefaultAdmin, _pendingDefaultAdminSchedule);
    }

    /**
     * @inheritdoc IAccessControlDefaultAdminRules
     */
    function defaultAdminDelay() public view virtual returns (uint48) {
        uint48 schedule = _pendingDelaySchedule;
        return (_isScheduleSet(schedule) && _hasSchedulePassed(schedule)) ? _pendingDelay : _currentDelay;
    }

    /**
     * @inheritdoc IAccessControlDefaultAdminRules
     */
    function pendingDefaultAdminDelay() public view virtual returns (uint48 newDelay, uint48 schedule) {
        schedule = _pendingDelaySchedule;
        return (_isScheduleSet(schedule) && !_hasSchedulePassed(schedule)) ? (_pendingDelay, schedule) : (0, 0);
    }

    /**
     * @inheritdoc IAccessControlDefaultAdminRules
     */
    function defaultAdminDelayIncreaseWait() public view virtual returns (uint48) {
        return 5 days;
    }

    ///
    /// AccessControlDefaultAdminRules public and internal setters for defaultAdmin/pendingDefaultAdmin
    ///

    /**
     * @inheritdoc IAccessControlDefaultAdminRules
     */
    function beginDefaultAdminTransfer(address newAdmin) public virtual onlyRole(DEFAULT_ADMIN_ROLE) {
        _beginDefaultAdminTransfer(newAdmin);
    }

    /**
     * @dev See {beginDefaultAdminTransfer}.
     *
     * Internal function without access restriction.
     */
    function _beginDefaultAdminTransfer(address newAdmin) internal virtual {
        uint48 newSchedule = SafeCast.toUint48(block.timestamp) + defaultAdminDelay();
        _setPendingDefaultAdmin(newAdmin, newSchedule);
        emit DefaultAdminTransferScheduled(newAdmin, newSchedule);
    }

    /**
     * @inheritdoc IAccessControlDefaultAdminRules
     */
    function cancelDefaultAdminTransfer() public virtual onlyRole(DEFAULT_ADMIN_ROLE) {
        _cancelDefaultAdminTransfer();
    }

    /**
     * @dev See {cancelDefaultAdminTransfer}.
     *
     * Internal function without access restriction.
     */
    function _cancelDefaultAdminTransfer() internal virtual {
        _setPendingDefaultAdmin(address(0), 0);
    }

    /**
     * @inheritdoc IAccessControlDefaultAdminRules
     */
    function acceptDefaultAdminTransfer() public virtual {
        (address newDefaultAdmin, ) = pendingDefaultAdmin();
        if (_msgSender() != newDefaultAdmin) {
            // Enforce newDefaultAdmin explicit acceptance.
            revert AccessControlInvalidDefaultAdmin(_msgSender());
        }
        _acceptDefaultAdminTransfer();
    }

    /**
     * @dev See {acceptDefaultAdminTransfer}.
     *
     * Internal function without access restriction.
     */
    function _acceptDefaultAdminTransfer() internal virtual {
        (address newAdmin, uint48 schedule) = pendingDefaultAdmin();
        if (!_isScheduleSet(schedule) || !_hasSchedulePassed(schedule)) {
            revert AccessControlEnforcedDefaultAdminDelay(schedule);
        }
        _revokeRole(DEFAULT_ADMIN_ROLE, defaultAdmin());
        _grantRole(DEFAULT_ADMIN_ROLE, newAdmin);
        delete _pendingDefaultAdmin;
        delete _pendingDefaultAdminSchedule;
    }

    ///
    /// AccessControlDefaultAdminRules public and internal setters for defaultAdminDelay/pendingDefaultAdminDelay
    ///

    /**
     * @inheritdoc IAccessControlDefaultAdminRules
     */
    function changeDefaultAdminDelay(uint48 newDelay) public virtual onlyRole(DEFAULT_ADMIN_ROLE) {
        _changeDefaultAdminDelay(newDelay);
    }

    /**
     * @dev See {changeDefaultAdminDelay}.
     *
     * Internal function without access restriction.
     */
    function _changeDefaultAdminDelay(uint48 newDelay) internal virtual {
        uint48 newSchedule = SafeCast.toUint48(block.timestamp) + _delayChangeWait(newDelay);
        _setPendingDelay(newDelay, newSchedule);
        emit DefaultAdminDelayChangeScheduled(newDelay, newSchedule);
    }

    /**
     * @inheritdoc IAccessControlDefaultAdminRules
     */
    function rollbackDefaultAdminDelay() public virtual onlyRole(DEFAULT_ADMIN_ROLE) {
        _rollbackDefaultAdminDelay();
    }

    /**
     * @dev See {rollbackDefaultAdminDelay}.
     *
     * Internal function without access restriction.
     */
    function _rollbackDefaultAdminDelay() internal virtual {
        _setPendingDelay(0, 0);
    }

    /**
     * @dev Returns the amount of seconds to wait after the `newDelay` will
     * become the new {defaultAdminDelay}.
     *
     * The value returned guarantees that if the delay is reduced, it will go into effect
     * after a wait that honors the previously set delay.
     *
     * See {defaultAdminDelayIncreaseWait}.
     */
    function _delayChangeWait(uint48 newDelay) internal view virtual returns (uint48) {
        uint48 currentDelay = defaultAdminDelay();

        // When increasing the delay, we schedule the delay change to occur after a period of "new delay" has passed, up
        // to a maximum given by defaultAdminDelayIncreaseWait, by default 5 days. For example, if increasing from 1 day
        // to 3 days, the new delay will come into effect after 3 days. If increasing from 1 day to 10 days, the new
        // delay will come into effect after 5 days. The 5 day wait period is intended to be able to fix an error like
        // using milliseconds instead of seconds.
        //
        // When decreasing the delay, we wait the difference between "current delay" and "new delay". This guarantees
        // that an admin transfer cannot be made faster than "current delay" at the time the delay change is scheduled.
        // For example, if decreasing from 10 days to 3 days, the new delay will come into effect after 7 days.
        return
            newDelay > currentDelay
                ? uint48(Math.min(newDelay, defaultAdminDelayIncreaseWait())) // no need to safecast, both inputs are uint48
                : currentDelay - newDelay;
    }

    ///
    /// Private setters
    ///

    /**
     * @dev Setter of the tuple for pending admin and its schedule.
     *
     * May emit a DefaultAdminTransferCanceled event.
     */
    function _setPendingDefaultAdmin(address newAdmin, uint48 newSchedule) private {
        (, uint48 oldSchedule) = pendingDefaultAdmin();

        _pendingDefaultAdmin = newAdmin;
        _pendingDefaultAdminSchedule = newSchedule;

        // An `oldSchedule` from `pendingDefaultAdmin()` is only set if it hasn't been accepted.
        if (_isScheduleSet(oldSchedule)) {
            // Emit for implicit cancellations when another default admin was scheduled.
            emit DefaultAdminTransferCanceled();
        }
    }

    /**
     * @dev Setter of the tuple for pending delay and its schedule.
     *
     * May emit a DefaultAdminDelayChangeCanceled event.
     */
    function _setPendingDelay(uint48 newDelay, uint48 newSchedule) private {
        uint48 oldSchedule = _pendingDelaySchedule;

        if (_isScheduleSet(oldSchedule)) {
            if (_hasSchedulePassed(oldSchedule)) {
                // Materialize a virtual delay
                _currentDelay = _pendingDelay;
            } else {
                // Emit for implicit cancellations when another delay was scheduled.
                emit DefaultAdminDelayChangeCanceled();
            }
        }

        _pendingDelay = newDelay;
        _pendingDelaySchedule = newSchedule;
    }

    ///
    /// Private helpers
    ///

    /**
     * @dev Defines if an `schedule` is considered set. For consistency purposes.
     */
    function _isScheduleSet(uint48 schedule) private pure returns (bool) {
        return schedule != 0;
    }

    /**
     * @dev Defines if an `schedule` is considered passed. For consistency purposes.
     */
    function _hasSchedulePassed(uint48 schedule) private view returns (bool) {
        return schedule < block.timestamp;
    }
}

// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts (last updated v5.0.0) (access/extensions/IAccessControlDefaultAdminRules.sol)

pragma solidity ^0.8.20;

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

/**
 * @dev External interface of AccessControlDefaultAdminRules declared to support ERC165 detection.
 */
interface IAccessControlDefaultAdminRules is IAccessControl {
    /**
     * @dev The new default admin is not a valid default admin.
     */
    error AccessControlInvalidDefaultAdmin(address defaultAdmin);

    /**
     * @dev At least one of the following rules was violated:
     *
     * - The `DEFAULT_ADMIN_ROLE` must only be managed by itself.
     * - The `DEFAULT_ADMIN_ROLE` must only be held by one account at the time.
     * - Any `DEFAULT_ADMIN_ROLE` transfer must be in two delayed steps.
     */
    error AccessControlEnforcedDefaultAdminRules();

    /**
     * @dev The delay for transferring the default admin delay is enforced and
     * the operation must wait until `schedule`.
     *
     * NOTE: `schedule` can be 0 indicating there's no transfer scheduled.
     */
    error AccessControlEnforcedDefaultAdminDelay(uint48 schedule);

    /**
     * @dev Emitted when a {defaultAdmin} transfer is started, setting `newAdmin` as the next
     * address to become the {defaultAdmin} by calling {acceptDefaultAdminTransfer} only after `acceptSchedule`
     * passes.
     */
    event DefaultAdminTransferScheduled(address indexed newAdmin, uint48 acceptSchedule);

    /**
     * @dev Emitted when a {pendingDefaultAdmin} is reset if it was never accepted, regardless of its schedule.
     */
    event DefaultAdminTransferCanceled();

    /**
     * @dev Emitted when a {defaultAdminDelay} change is started, setting `newDelay` as the next
     * delay to be applied between default admin transfer after `effectSchedule` has passed.
     */
    event DefaultAdminDelayChangeScheduled(uint48 newDelay, uint48 effectSchedule);

    /**
     * @dev Emitted when a {pendingDefaultAdminDelay} is reset if its schedule didn't pass.
     */
    event DefaultAdminDelayChangeCanceled();

    /**
     * @dev Returns the address of the current `DEFAULT_ADMIN_ROLE` holder.
     */
    function defaultAdmin() external view returns (address);

    /**
     * @dev Returns a tuple of a `newAdmin` and an accept schedule.
     *
     * After the `schedule` passes, the `newAdmin` will be able to accept the {defaultAdmin} role
     * by calling {acceptDefaultAdminTransfer}, completing the role transfer.
     *
     * A zero value only in `acceptSchedule` indicates no pending admin transfer.
     *
     * NOTE: A zero address `newAdmin` means that {defaultAdmin} is being renounced.
     */
    function pendingDefaultAdmin() external view returns (address newAdmin, uint48 acceptSchedule);

    /**
     * @dev Returns the delay required to schedule the acceptance of a {defaultAdmin} transfer started.
     *
     * This delay will be added to the current timestamp when calling {beginDefaultAdminTransfer} to set
     * the acceptance schedule.
     *
     * NOTE: If a delay change has been scheduled, it will take effect as soon as the schedule passes, making this
     * function returns the new delay. See {changeDefaultAdminDelay}.
     */
    function defaultAdminDelay() external view returns (uint48);

    /**
     * @dev Returns a tuple of `newDelay` and an effect schedule.
     *
     * After the `schedule` passes, the `newDelay` will get into effect immediately for every
     * new {defaultAdmin} transfer started with {beginDefaultAdminTransfer}.
     *
     * A zero value only in `effectSchedule` indicates no pending delay change.
     *
     * NOTE: A zero value only for `newDelay` means that the next {defaultAdminDelay}
     * will be zero after the effect schedule.
     */
    function pendingDefaultAdminDelay() external view returns (uint48 newDelay, uint48 effectSchedule);

    /**
     * @dev Starts a {defaultAdmin} transfer by setting a {pendingDefaultAdmin} scheduled for acceptance
     * after the current timestamp plus a {defaultAdminDelay}.
     *
     * Requirements:
     *
     * - Only can be called by the current {defaultAdmin}.
     *
     * Emits a DefaultAdminRoleChangeStarted event.
     */
    function beginDefaultAdminTransfer(address newAdmin) external;

    /**
     * @dev Cancels a {defaultAdmin} transfer previously started with {beginDefaultAdminTransfer}.
     *
     * A {pendingDefaultAdmin} not yet accepted can also be cancelled with this function.
     *
     * Requirements:
     *
     * - Only can be called by the current {defaultAdmin}.
     *
     * May emit a DefaultAdminTransferCanceled event.
     */
    function cancelDefaultAdminTransfer() external;

    /**
     * @dev Completes a {defaultAdmin} transfer previously started with {beginDefaultAdminTransfer}.
     *
     * After calling the function:
     *
     * - `DEFAULT_ADMIN_ROLE` should be granted to the caller.
     * - `DEFAULT_ADMIN_ROLE` should be revoked from the previous holder.
     * - {pendingDefaultAdmin} should be reset to zero values.
     *
     * Requirements:
     *
     * - Only can be called by the {pendingDefaultAdmin}'s `newAdmin`.
     * - The {pendingDefaultAdmin}'s `acceptSchedule` should've passed.
     */
    function acceptDefaultAdminTransfer() external;

    /**
     * @dev Initiates a {defaultAdminDelay} update by setting a {pendingDefaultAdminDelay} scheduled for getting
     * into effect after the current timestamp plus a {defaultAdminDelay}.
     *
     * This function guarantees that any call to {beginDefaultAdminTransfer} done between the timestamp this
     * method is called and the {pendingDefaultAdminDelay} effect schedule will use the current {defaultAdminDelay}
     * set before calling.
     *
     * The {pendingDefaultAdminDelay}'s effect schedule is defined in a way that waiting until the schedule and then
     * calling {beginDefaultAdminTransfer} with the new delay will take at least the same as another {defaultAdmin}
     * complete transfer (including acceptance).
     *
     * The schedule is designed for two scenarios:
     *
     * - When the delay is changed for a larger one the schedule is `block.timestamp + newDelay` capped by
     * {defaultAdminDelayIncreaseWait}.
     * - When the delay is changed for a shorter one, the schedule is `block.timestamp + (current delay - new delay)`.
     *
     * A {pendingDefaultAdminDelay} that never got into effect will be canceled in favor of a new scheduled change.
     *
     * Requirements:
     *
     * - Only can be called by the current {defaultAdmin}.
     *
     * Emits a DefaultAdminDelayChangeScheduled event and may emit a DefaultAdminDelayChangeCanceled event.
     */
    function changeDefaultAdminDelay(uint48 newDelay) external;

    /**
     * @dev Cancels a scheduled {defaultAdminDelay} change.
     *
     * Requirements:
     *
     * - Only can be called by the current {defaultAdmin}.
     *
     * May emit a DefaultAdminDelayChangeCanceled event.
     */
    function rollbackDefaultAdminDelay() external;

    /**
     * @dev Maximum time in seconds for an increase to {defaultAdminDelay} (that is scheduled using {changeDefaultAdminDelay})
     * to take effect. Default to 5 days.
     *
     * When the {defaultAdminDelay} is scheduled to be increased, it goes into effect after the new delay has passed with
     * the purpose of giving enough time for reverting any accidental change (i.e. using milliseconds instead of seconds)
     * that may lock the contract. However, to avoid excessive schedules, the wait is capped by this function and it can
     * be overrode for a custom {defaultAdminDelay} increase scheduling.
     *
     * IMPORTANT: Make sure to add a reasonable amount of time while overriding this value, otherwise,
     * there's a risk of setting a high new delay that goes into effect almost immediately without the
     * possibility of human intervention in the case of an input error (eg. set milliseconds instead of seconds).
     */
    function defaultAdminDelayIncreaseWait() external view returns (uint48);
}

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

pragma solidity ^0.8.20;

/**
 * @dev External interface of AccessControl declared to support ERC165 detection.
 */
interface IAccessControl {
    /**
     * @dev The `account` is missing a role.
     */
    error AccessControlUnauthorizedAccount(address account, bytes32 neededRole);

    /**
     * @dev The caller of a function is not the expected one.
     *
     * NOTE: Don't confuse with {AccessControlUnauthorizedAccount}.
     */
    error AccessControlBadConfirmation();

    /**
     * @dev Emitted when `newAdminRole` is set as ``role``'s admin role, replacing `previousAdminRole`
     *
     * `DEFAULT_ADMIN_ROLE` is the starting admin for all roles, despite
     * {RoleAdminChanged} not being emitted signaling this.
     */
    event RoleAdminChanged(bytes32 indexed role, bytes32 indexed previousAdminRole, bytes32 indexed newAdminRole);

    /**
     * @dev Emitted when `account` is granted `role`.
     *
     * `sender` is the account that originated the contract call, an admin role
     * bearer except when using {AccessControl-_setupRole}.
     */
    event RoleGranted(bytes32 indexed role, address indexed account, address indexed sender);

    /**
     * @dev Emitted when `account` is revoked `role`.
     *
     * `sender` is the account that originated the contract call:
     *   - if using `revokeRole`, it is the admin role bearer
     *   - if using `renounceRole`, it is the role bearer (i.e. `account`)
     */
    event RoleRevoked(bytes32 indexed role, address indexed account, address indexed sender);

    /**
     * @dev Returns `true` if `account` has been granted `role`.
     */
    function hasRole(bytes32 role, address account) external view returns (bool);

    /**
     * @dev Returns the admin role that controls `role`. See {grantRole} and
     * {revokeRole}.
     *
     * To change a role's admin, use {AccessControl-_setRoleAdmin}.
     */
    function getRoleAdmin(bytes32 role) external view returns (bytes32);

    /**
     * @dev Grants `role` to `account`.
     *
     * If `account` had not been already granted `role`, emits a {RoleGranted}
     * event.
     *
     * Requirements:
     *
     * - the caller must have ``role``'s admin role.
     */
    function grantRole(bytes32 role, address account) external;

    /**
     * @dev Revokes `role` from `account`.
     *
     * If `account` had been granted `role`, emits a {RoleRevoked} event.
     *
     * Requirements:
     *
     * - the caller must have ``role``'s admin role.
     */
    function revokeRole(bytes32 role, address account) external;

    /**
     * @dev Revokes `role` from the calling account.
     *
     * Roles are often managed via {grantRole} and {revokeRole}: this function's
     * purpose is to provide a mechanism for accounts to lose their privileges
     * if they are compromised (such as when a trusted device is misplaced).
     *
     * If the calling account had been granted `role`, emits a {RoleRevoked}
     * event.
     *
     * Requirements:
     *
     * - the caller must be `callerConfirmation`.
     */
    function renounceRole(bytes32 role, address callerConfirmation) external;
}

// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts (last updated v5.0.0) (interfaces/draft-IERC6093.sol)
pragma solidity ^0.8.20;

/**
 * @dev Standard ERC20 Errors
 * Interface of the https://eips.ethereum.org/EIPS/eip-6093[ERC-6093] custom errors for ERC20 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 ERC721 Errors
 * Interface of the https://eips.ethereum.org/EIPS/eip-6093[ERC-6093] custom errors for ERC721 tokens.
 */
interface IERC721Errors {
    /**
     * @dev Indicates that an address can't be an owner. For example, `address(0)` is a forbidden owner in EIP-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 ERC1155 Errors
 * Interface of the https://eips.ethereum.org/EIPS/eip-6093[ERC-6093] custom errors for ERC1155 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 v5.0.0) (interfaces/IERC5313.sol)

pragma solidity ^0.8.20;

/**
 * @dev Interface for the Light Contract Ownership Standard.
 *
 * A standardized minimal interface required to identify an account that controls a contract
 */
interface IERC5313 {
    /**
     * @dev Gets the address of the owner.
     */
    function owner() external view returns (address);
}

// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts (last updated v5.0.0) (token/ERC20/ERC20.sol)

pragma solidity ^0.8.20;

import {IERC20} from "./IERC20.sol";
import {IERC20Metadata} from "./extensions/IERC20Metadata.sol";
import {Context} from "../../utils/Context.sol";
import {IERC20Errors} from "../../interfaces/draft-IERC6093.sol";

/**
 * @dev Implementation of the {IERC20} interface.
 *
 * This implementation is agnostic to the way tokens are created. This means
 * that a supply mechanism has to be added in a derived contract using {_mint}.
 *
 * TIP: For a detailed writeup see our guide
 * https://forum.openzeppelin.com/t/how-to-implement-erc20-supply-mechanisms/226[How
 * to implement supply mechanisms].
 *
 * The default value of {decimals} is 18. To change this, you should override
 * this function so it returns a different value.
 *
 * We have followed general OpenZeppelin Contracts guidelines: functions revert
 * instead returning `false` on failure. This behavior is nonetheless
 * conventional and does not conflict with the expectations of ERC20
 * applications.
 *
 * Additionally, an {Approval} event is emitted on calls to {transferFrom}.
 * This allows applications to reconstruct the allowance for all accounts just
 * by listening to said events. Other implementations of the EIP may not emit
 * these events, as it isn't required by the specification.
 */
abstract contract ERC20 is Context, IERC20, IERC20Metadata, IERC20Errors {
    mapping(address account => uint256) private _balances;

    mapping(address account => mapping(address spender => uint256)) private _allowances;

    uint256 private _totalSupply;

    string private _name;
    string private _symbol;

    /**
     * @dev Sets the values for {name} and {symbol}.
     *
     * All two of these values are immutable: they can only be set once during
     * construction.
     */
    constructor(string memory name_, string memory symbol_) {
        _name = name_;
        _symbol = symbol_;
    }

    /**
     * @dev Returns the name of the token.
     */
    function name() public view virtual returns (string memory) {
        return _name;
    }

    /**
     * @dev Returns the symbol of the token, usually a shorter version of the
     * name.
     */
    function symbol() public view virtual returns (string memory) {
        return _symbol;
    }

    /**
     * @dev Returns the number of decimals used to get its user representation.
     * For example, if `decimals` equals `2`, a balance of `505` tokens should
     * be displayed to a user as `5.05` (`505 / 10 ** 2`).
     *
     * Tokens usually opt for a value of 18, imitating the relationship between
     * Ether and Wei. This is the default value returned by this function, unless
     * it's overridden.
     *
     * NOTE: This information is only used for _display_ purposes: it in
     * no way affects any of the arithmetic of the contract, including
     * {IERC20-balanceOf} and {IERC20-transfer}.
     */
    function decimals() public view virtual returns (uint8) {
        return 18;
    }

    /**
     * @dev See {IERC20-totalSupply}.
     */
    function totalSupply() public view virtual returns (uint256) {
        return _totalSupply;
    }

    /**
     * @dev See {IERC20-balanceOf}.
     */
    function balanceOf(address account) public view virtual returns (uint256) {
        return _balances[account];
    }

    /**
     * @dev See {IERC20-transfer}.
     *
     * Requirements:
     *
     * - `to` cannot be the zero address.
     * - the caller must have a balance of at least `value`.
     */
    function transfer(address to, uint256 value) public virtual returns (bool) {
        address owner = _msgSender();
        _transfer(owner, to, value);
        return true;
    }

    /**
     * @dev See {IERC20-allowance}.
     */
    function allowance(address owner, address spender) public view virtual returns (uint256) {
        return _allowances[owner][spender];
    }

    /**
     * @dev See {IERC20-approve}.
     *
     * NOTE: If `value` is the maximum `uint256`, the allowance is not updated on
     * `transferFrom`. This is semantically equivalent to an infinite approval.
     *
     * Requirements:
     *
     * - `spender` cannot be the zero address.
     */
    function approve(address spender, uint256 value) public virtual returns (bool) {
        address owner = _msgSender();
        _approve(owner, spender, value);
        return true;
    }

    /**
     * @dev See {IERC20-transferFrom}.
     *
     * Emits an {Approval} event indicating the updated allowance. This is not
     * required by the EIP. See the note at the beginning of {ERC20}.
     *
     * NOTE: Does not update the allowance if the current allowance
     * is the maximum `uint256`.
     *
     * Requirements:
     *
     * - `from` and `to` cannot be the zero address.
     * - `from` must have a balance of at least `value`.
     * - the caller must have allowance for ``from``'s tokens of at least
     * `value`.
     */
    function transferFrom(address from, address to, uint256 value) public virtual returns (bool) {
        address spender = _msgSender();
        _spendAllowance(from, spender, value);
        _transfer(from, to, value);
        return true;
    }

    /**
     * @dev Moves a `value` amount of tokens from `from` to `to`.
     *
     * This internal function is equivalent to {transfer}, and can be used to
     * e.g. implement automatic token fees, slashing mechanisms, etc.
     *
     * Emits a {Transfer} event.
     *
     * NOTE: This function is not virtual, {_update} should be overridden instead.
     */
    function _transfer(address from, address to, uint256 value) internal {
        if (from == address(0)) {
            revert ERC20InvalidSender(address(0));
        }
        if (to == address(0)) {
            revert ERC20InvalidReceiver(address(0));
        }
        _update(from, to, value);
    }

    /**
     * @dev Transfers a `value` amount of tokens from `from` to `to`, or alternatively mints (or burns) if `from`
     * (or `to`) is the zero address. All customizations to transfers, mints, and burns should be done by overriding
     * this function.
     *
     * Emits a {Transfer} event.
     */
    function _update(address from, address to, uint256 value) internal virtual {
        if (from == address(0)) {
            // Overflow check required: The rest of the code assumes that totalSupply never overflows
            _totalSupply += value;
        } else {
            uint256 fromBalance = _balances[from];
            if (fromBalance < value) {
                revert ERC20InsufficientBalance(from, fromBalance, value);
            }
            unchecked {
                // Overflow not possible: value <= fromBalance <= totalSupply.
                _balances[from] = fromBalance - value;
            }
        }

        if (to == address(0)) {
            unchecked {
                // Overflow not possible: value <= totalSupply or value <= fromBalance <= totalSupply.
                _totalSupply -= value;
            }
        } else {
            unchecked {
                // Overflow not possible: balance + value is at most totalSupply, which we know fits into a uint256.
                _balances[to] += value;
            }
        }

        emit Transfer(from, to, value);
    }

    /**
     * @dev Creates a `value` amount of tokens and assigns them to `account`, by transferring it from address(0).
     * Relies on the `_update` mechanism
     *
     * Emits a {Transfer} event with `from` set to the zero address.
     *
     * NOTE: This function is not virtual, {_update} should be overridden instead.
     */
    function _mint(address account, uint256 value) internal {
        if (account == address(0)) {
            revert ERC20InvalidReceiver(address(0));
        }
        _update(address(0), account, value);
    }

    /**
     * @dev Destroys a `value` amount of tokens from `account`, lowering the total supply.
     * Relies on the `_update` mechanism.
     *
     * Emits a {Transfer} event with `to` set to the zero address.
     *
     * NOTE: This function is not virtual, {_update} should be overridden instead
     */
    function _burn(address account, uint256 value) internal {
        if (account == address(0)) {
            revert ERC20InvalidSender(address(0));
        }
        _update(account, address(0), value);
    }

    /**
     * @dev Sets `value` as the allowance of `spender` over the `owner` s tokens.
     *
     * This internal function is equivalent to `approve`, and can be used to
     * e.g. set automatic allowances for certain subsystems, etc.
     *
     * Emits an {Approval} event.
     *
     * Requirements:
     *
     * - `owner` cannot be the zero address.
     * - `spender` cannot be the zero address.
     *
     * Overrides to this logic should be done to the variant with an additional `bool emitEvent` argument.
     */
    function _approve(address owner, address spender, uint256 value) internal {
        _approve(owner, spender, value, true);
    }

    /**
     * @dev Variant of {_approve} with an optional flag to enable or disable the {Approval} event.
     *
     * By default (when calling {_approve}) the flag is set to true. On the other hand, approval changes made by
     * `_spendAllowance` during the `transferFrom` operation set the flag to false. This saves gas by not emitting any
     * `Approval` event during `transferFrom` operations.
     *
     * Anyone who wishes to continue emitting `Approval` events on the`transferFrom` operation can force the flag to
     * true using the following override:
     * ```
     * function _approve(address owner, address spender, uint256 value, bool) internal virtual override {
     *     super._approve(owner, spender, value, true);
     * }
     * ```
     *
     * Requirements are the same as {_approve}.
     */
    function _approve(address owner, address spender, uint256 value, bool emitEvent) internal virtual {
        if (owner == address(0)) {
            revert ERC20InvalidApprover(address(0));
        }
        if (spender == address(0)) {
            revert ERC20InvalidSpender(address(0));
        }
        _allowances[owner][spender] = value;
        if (emitEvent) {
            emit Approval(owner, spender, value);
        }
    }

    /**
     * @dev Updates `owner` s allowance for `spender` based on spent `value`.
     *
     * Does not update the allowance value in case of infinite allowance.
     * Revert if not enough allowance is available.
     *
     * Does not emit an {Approval} event.
     */
    function _spendAllowance(address owner, address spender, uint256 value) internal virtual {
        uint256 currentAllowance = allowance(owner, spender);
        if (currentAllowance != type(uint256).max) {
            if (currentAllowance < value) {
                revert ERC20InsufficientAllowance(spender, currentAllowance, value);
            }
            unchecked {
                _approve(owner, spender, currentAllowance - value, false);
            }
        }
    }
}

// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts (last updated v5.0.0) (token/ERC20/extensions/IERC20Metadata.sol)

pragma solidity ^0.8.20;

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

/**
 * @dev Interface for the optional metadata functions from the ERC20 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
// OpenZeppelin Contracts (last updated v5.0.0) (token/ERC20/IERC20.sol)

pragma solidity ^0.8.20;

/**
 * @dev Interface of the ERC20 standard as defined in the EIP.
 */
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
// 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 v5.0.0) (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 ERC165 should inherit from this contract and override {supportsInterface} to check
 * for the additional interface id that will be supported. For example:
 *
 * ```solidity
 * function supportsInterface(bytes4 interfaceId) public view virtual override returns (bool) {
 *     return interfaceId == type(MyInterface).interfaceId || super.supportsInterface(interfaceId);
 * }
 * ```
 */
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 v5.0.0) (utils/introspection/IERC165.sol)

pragma solidity ^0.8.20;

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

// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts (last updated v5.0.0) (utils/math/Math.sol)

pragma solidity ^0.8.20;

/**
 * @dev Standard math utilities missing in the Solidity language.
 */
library Math {
    /**
     * @dev Muldiv operation overflow.
     */
    error MathOverflowedMulDiv();

    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 overflow flag.
     */
    function tryAdd(uint256 a, uint256 b) internal pure returns (bool, uint256) {
        unchecked {
            uint256 c = a + b;
            if (c < a) return (false, 0);
            return (true, c);
        }
    }

    /**
     * @dev Returns the subtraction of two unsigned integers, with an overflow flag.
     */
    function trySub(uint256 a, uint256 b) internal pure returns (bool, uint256) {
        unchecked {
            if (b > a) return (false, 0);
            return (true, a - b);
        }
    }

    /**
     * @dev Returns the multiplication of two unsigned integers, with an overflow flag.
     */
    function tryMul(uint256 a, uint256 b) internal pure returns (bool, uint256) {
        unchecked {
            // Gas optimization: this is cheaper than requiring 'a' not being zero, but the
            // benefit is lost if 'b' is also tested.
            // See: https://github.com/OpenZeppelin/openzeppelin-contracts/pull/522
            if (a == 0) return (true, 0);
            uint256 c = a * b;
            if (c / a != b) return (false, 0);
            return (true, c);
        }
    }

    /**
     * @dev Returns the division of two unsigned integers, with a division by zero flag.
     */
    function tryDiv(uint256 a, uint256 b) internal pure returns (bool, uint256) {
        unchecked {
            if (b == 0) return (false, 0);
            return (true, a / b);
        }
    }

    /**
     * @dev Returns the remainder of dividing two unsigned integers, with a division by zero flag.
     */
    function tryMod(uint256 a, uint256 b) internal pure returns (bool, uint256) {
        unchecked {
            if (b == 0) return (false, 0);
            return (true, a % b);
        }
    }

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

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

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

    /**
     * @dev Returns the ceiling of the division of two numbers.
     *
     * This differs from standard division with `/` in that it rounds 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.
            return a / b;
        }

        // (a + b - 1) / b can overflow on addition, so we distribute.
        return a == 0 ? 0 : (a - 1) / b + 1;
    }

    /**
     * @notice Calculates floor(x * y / denominator) with full precision. Throws if result overflows a uint256 or
     * denominator == 0.
     * @dev Original credit to Remco Bloemen under MIT license (https://xn--2-umb.com/21/muldiv) with further edits by
     * Uniswap Labs also under MIT license.
     */
    function mulDiv(uint256 x, uint256 y, uint256 denominator) internal pure returns (uint256 result) {
        unchecked {
            // 512-bit multiply [prod1 prod0] = x * y. Compute the product mod 2^256 and mod 2^256 - 1, then use
            // use the Chinese Remainder Theorem to reconstruct the 512 bit result. The result is stored in two 256
            // variables such that product = prod1 * 2^256 + prod0.
            uint256 prod0 = 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 2^256. Also prevents denominator == 0.
            if (denominator <= prod1) {
                revert MathOverflowedMulDiv();
            }

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

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

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

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

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

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

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

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

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

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

    /**
     * @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;
        unchecked {
            if (value >> 128 > 0) {
                value >>= 128;
                result += 128;
            }
            if (value >> 64 > 0) {
                value >>= 64;
                result += 64;
            }
            if (value >> 32 > 0) {
                value >>= 32;
                result += 32;
            }
            if (value >> 16 > 0) {
                value >>= 16;
                result += 16;
            }
            if (value >> 8 > 0) {
                value >>= 8;
                result += 8;
            }
            if (value >> 4 > 0) {
                value >>= 4;
                result += 4;
            }
            if (value >> 2 > 0) {
                value >>= 2;
                result += 2;
            }
            if (value >> 1 > 0) {
                result += 1;
            }
        }
        return result;
    }

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

    /**
     * @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 + (unsignedRoundsUp(rounding) && 10 ** result < value ? 1 : 0);
        }
    }

    /**
     * @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;
        unchecked {
            if (value >> 128 > 0) {
                value >>= 128;
                result += 16;
            }
            if (value >> 64 > 0) {
                value >>= 64;
                result += 8;
            }
            if (value >> 32 > 0) {
                value >>= 32;
                result += 4;
            }
            if (value >> 16 > 0) {
                value >>= 16;
                result += 2;
            }
            if (value >> 8 > 0) {
                result += 1;
            }
        }
        return result;
    }

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

    /**
     * @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 v5.0.0) (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 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);
    }
}

// SPDX-License-Identifier: MIT

pragma solidity 0.8.20;

import "lib/openzeppelin-contracts/contracts/token/ERC20/ERC20.sol";
import "lib/openzeppelin-contracts/contracts/access/extensions/AccessControlDefaultAdminRules.sol";

/**
 * @title ERC20BurnMint
 * @author Tensorplex Labs
 * @notice ERC20BurnMint is a generic ERC20 contract that is intended to represent a generic wrapped token.
 *         For our short-term scope we intend to use this contract as a wrapped Tao (exact name TBD), to bridge Tao from BitTensor to our new wrapped token on Ethereum.
 *         In the future, we hope to re-use this contract as a wrapped token for future partner blockchains.
 *        
 */
contract ERC20BurnMint is ERC20, AccessControlDefaultAdminRules {
    bytes32 public constant MINTER_ROLE = keccak256("MINTER_ROLE"); // grants user token minting permission
    bytes32 public constant BURNER_ROLE = keccak256("BURNER_ROLE"); // grants user token burning permission.
    uint8 private immutable _decimals; // For BitTensor implementation we will use value of 9 to match with TAO.

    // @notice: initializes a ERC20BurnMint contract
    constructor(address initialOwner, string memory name, string memory symbol, uint8 decimals_)
    ERC20(name, symbol )
    AccessControlDefaultAdminRules(1 hours, initialOwner) {
        _decimals = decimals_;
    }

    /**
     * @notice mints this token to an input address. 
     * @param to is the Eth address that will recieve the minted tokens
     * @param amount is the amount of tokens to be minted
     */
    function mint(address to, uint256 amount) public onlyRole(MINTER_ROLE) {
        _mint(to, amount);
    }

    // @notice returns # of decimals for this token.
    // @dev Overrides ineherited decimals function to return a custom number of decimals
    function decimals() public view virtual override returns (uint8) {
        return _decimals;
    }

    /**
     * @notice burns amount from account
     * @param account is the address on ETH to burn from
     * @param amount is the amount of tokens to be burned
     */
    function burn(address account, uint256 amount) public onlyRole(BURNER_ROLE) {
        _burn(account, amount);
    }

}

pragma solidity 0.8.20;

/**
 * @title RateLimiter
 * @author Tensorplex Labs
 * @notice RateLimiter is a library used by BridgeWrapper to create limits for token burning & minting. 
 *         For security we implement a maxCapacity. It should not be possible to mint or burn more than the maxCapacity in one transaction.
 *         When we mint or burn X amount, the X amount is deducted from the tokensAvailable pool.
 *         Each instance of RateLimiter will have its own limit, meaning minting and burning will have individual limits.
 *         If a user tries to mint or burn in excess of tokensAvailable, the call will be reverted. 
 *         The tokensAvailable will replenish by the value of refillRate every minute.
 *         Rather than refill on the minute every minute, calling BridgeWrapper's RecieveFromChain / SendToChain will trigger a batch refill.
 */
library RateLimiter {
    // @dev contains the relevant data for rate limiting 
    struct RateLimit {
        uint256 lastRefillTime; // timestamp of last limit refill 
        uint256 tokensAvailable; // Number of tokens left that can be burned / minted
        uint256 maxCapacity; // The max number of tokens that can be burned / minted
        uint256 refillRate; // Number of tokens to be replenished per minute. 
    }
    
    // @notice: initializes the ratelimiter. 
    function initialize(RateLimit storage rateLimit, uint256 maxCapacity, uint256 refillRate) internal {
        rateLimit.maxCapacity = maxCapacity;
        rateLimit.refillRate = refillRate;
        rateLimit.tokensAvailable = maxCapacity; // Start with max capacity
        rateLimit.lastRefillTime = block.timestamp;
    }

    /**
     * @notice replenishes the tokensAvailable according to the time elapsed.
     * @param rateLimit contains relevant rate limiting state variables
     */
    function refill(RateLimit storage rateLimit) internal {
        uint256 timeElapsed = block.timestamp - rateLimit.lastRefillTime;
        if (timeElapsed >= 60 seconds) {
            uint256 periodsElapsed = timeElapsed / 60 seconds;
            uint256 tokensToAdd = periodsElapsed * rateLimit.refillRate;
            rateLimit.tokensAvailable += tokensToAdd;
            if (rateLimit.tokensAvailable > rateLimit.maxCapacity) {
                // Update the amount of tokens that can be minted based on current period
                // considering the elapsed time
                rateLimit.tokensAvailable = rateLimit.maxCapacity;
            }
            // Update last refill time for future transactions
            rateLimit.lastRefillTime += periodsElapsed * 60 seconds;
        }
    }

    /**
     * @notice Consume verifies that there is sufficient availableTokens for the input amount
     * @dev returns true when amount in is less than tokensAvailable and false otherwise.  
     * @param rateLimit contains relevant limiting data.
     * @param amount is the amount of tokens that is attempting to be burned / minted
     */
    function consume(RateLimit storage rateLimit, uint256 amount) internal returns (bool) {
        refill(rateLimit); // Refill before checking
        if (rateLimit.tokensAvailable >= amount) {
            rateLimit.tokensAvailable -= amount;
            return true;
        }
        return false;
    }
    /**
     * 
     * @notice getAvailableTokens returns the current available tokens for minting / burning.
     * @param rateLimit contains relevant limiting data.
     */
    function getAvailableTokens(RateLimit storage rateLimit) internal view returns (uint256) {
        uint256 timeElapsed = block.timestamp - rateLimit.lastRefillTime;
        if (timeElapsed > 60 seconds) {
            uint256 periodsElapsed = timeElapsed / 60 seconds;
            uint256 tokensToAdd = periodsElapsed * rateLimit.refillRate;
            uint256 availableTokens = rateLimit.tokensAvailable + tokensToAdd;
            if (availableTokens > rateLimit.maxCapacity) {
                availableTokens = rateLimit.maxCapacity;
            }
            return availableTokens;
        }
        return rateLimit.tokensAvailable;
    }
}

{
  "optimizer": {
    "enabled": true,
    "runs": 200
  },
  "viaIR": true,
  "evmVersion": "paris",
  "outputSelection": {
    "*": {
      "*": [
        "evm.bytecode",
        "evm.deployedBytecode",
        "devdoc",
        "userdoc",
        "metadata",
        "abi"
      ]
    }
  },
  "libraries": {}
}

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000000000000000000000000e4887cf30ff3edb843369f2161fcb7e064ff28f0000000000000000000000000dbe60f9a17e234c24b87d0bd0b8b802689ed355e000000000000000000000000000000000000000000000000000000e8d4a5100000000000000000000000000000000000000000000000000000000003dd6fe600000000000000000000000000000000000000000000000000000000e8d4a5100000000000000000000000000000000000000000000000000000000003dd6fe6000000000000000000000000000000000000000000000000000000000005f5e1000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000003b9aca00000000000000000000000000000000000000000000000000000000e8d4a5100000000000000000000000000000000000000000000000000000000000000003e100000000000000000000000000000000000000000000000000000000000003e1

-----Decoded View---------------
Arg [0] : _token (address): 0xE4887Cf30fF3EDb843369f2161FCB7e064ff28f0
Arg [1] : initialOwner (address): 0xDbe60F9A17E234C24B87D0bD0b8B802689Ed355E
Arg [2] : maxBurnCapacity (uint256): 1000000000000
Arg [3] : burnRefillRate (uint256): 16600000000
Arg [4] : maxMintCapacity (uint256): 1000000000000
Arg [5] : mintRefillRate (uint256): 16600000000
Arg [6] : _baseFee (uint256): 100000000
Arg [7] : _serviceFee (uint256): 1
Arg [8] : _minimumAmount (uint256): 1000000000
Arg [9] : _maximumAmount (uint256): 1000000000000
Arg [10] : _sourceChainID (uint16): 993
Arg [11] : _destChainID (uint16): 993

-----Encoded View---------------
12 Constructor Arguments found :
Arg [0] : 000000000000000000000000e4887cf30ff3edb843369f2161fcb7e064ff28f0
Arg [1] : 000000000000000000000000dbe60f9a17e234c24b87d0bd0b8b802689ed355e
Arg [2] : 000000000000000000000000000000000000000000000000000000e8d4a51000
Arg [3] : 00000000000000000000000000000000000000000000000000000003dd6fe600
Arg [4] : 000000000000000000000000000000000000000000000000000000e8d4a51000
Arg [5] : 00000000000000000000000000000000000000000000000000000003dd6fe600
Arg [6] : 0000000000000000000000000000000000000000000000000000000005f5e100
Arg [7] : 0000000000000000000000000000000000000000000000000000000000000001
Arg [8] : 000000000000000000000000000000000000000000000000000000003b9aca00
Arg [9] : 000000000000000000000000000000000000000000000000000000e8d4a51000
Arg [10] : 00000000000000000000000000000000000000000000000000000000000003e1
Arg [11] : 00000000000000000000000000000000000000000000000000000000000003e1