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// SPDX-License-Identifier: BUSL-1.1
pragma solidity 0.8.23;

import "../openzeppelin/Math.sol";
import "../interfaces/IStatController.sol";
import "./CalcLib.sol";

library ScoreLib {
  using CalcLib for int32;

  // core
  uint public constant STRENGTH = 100;
  uint public constant DEXTERITY = 100;
  uint public constant VITALITY = 100;
  uint public constant ENERGY = 100;

  // attributes
  uint public constant MELEE_DAMAGE = 10;
  uint public constant ATTACK_RATING = 3;
  uint public constant DEFENCE = 10;
  uint public constant BLOCK_RATING = 500;
  uint public constant LIFE = 10;
  uint public constant MANA = 10;

  uint public constant LIFE_CHANCES = 10_000;
  uint public constant MAGIC_FIND = 300;
  uint public constant CRITICAL_HIT = 150;
  uint public constant DMG_FACTOR = 200;

  uint public constant AR_FACTOR = 200;
  uint public constant LIFE_STOLEN_PER_HIT = 1000;
  uint public constant MANA_AFTER_KILL = 1000;
  uint public constant DAMAGE_REDUCTION = 500;
  uint public constant REFLECT_DAMAGE = 250;
  uint public constant RESIST_TO_STATUSES = 70;

  // resistance
  uint public constant ELEMENT_RESIST = 100;

  // race specific attributes
  uint public constant RACE_SPECIFIC = 20;

  // statuses
  uint public constant STATUSES = 100;

  // items
  uint public constant DURABILITY_SCORE = 1;

  // hero
  uint public constant HERO_LEVEL_SCORE = 1000;

  /// @param isForReinforcement If true calculate score using 12 main attributes only. Otherwise use all attributes.
  function attributesScore(int32[] memory attributes, bool isForReinforcement) internal pure returns (uint) {
    uint result;
    {
      result += (attributes[uint(IStatController.ATTRIBUTES.STRENGTH)]).toUint() * STRENGTH
        + (attributes[uint(IStatController.ATTRIBUTES.DEXTERITY)]).toUint() * DEXTERITY
        + (attributes[uint(IStatController.ATTRIBUTES.VITALITY)]).toUint() * VITALITY
        + (attributes[uint(IStatController.ATTRIBUTES.ENERGY)]).toUint() * ENERGY
        + (attributes[uint(IStatController.ATTRIBUTES.ATTACK_RATING)]).toUint() * ATTACK_RATING
        + (attributes[uint(IStatController.ATTRIBUTES.DEFENSE)]).toUint() * DEFENCE
        + (attributes[uint(IStatController.ATTRIBUTES.BLOCK_RATING)]).toUint() * BLOCK_RATING
        + Math.average(attributes[uint(IStatController.ATTRIBUTES.DAMAGE_MIN)].toUint(), attributes[uint(IStatController.ATTRIBUTES.DAMAGE_MAX)].toUint()) * MELEE_DAMAGE
      ;
    }
    {
      result +=
        (attributes[uint(IStatController.ATTRIBUTES.FIRE_RESISTANCE)]).toUint() * ELEMENT_RESIST
        + (attributes[uint(IStatController.ATTRIBUTES.COLD_RESISTANCE)]).toUint() * ELEMENT_RESIST
        + (attributes[uint(IStatController.ATTRIBUTES.LIGHTNING_RESISTANCE)]).toUint() * ELEMENT_RESIST;
    }

    if (! isForReinforcement) {
      {
        result +=
          (attributes[uint(IStatController.ATTRIBUTES.LIFE)]).toUint() * LIFE
          + (attributes[uint(IStatController.ATTRIBUTES.MANA)]).toUint() * MANA;
      }
      {
        result +=
          (attributes[uint(IStatController.ATTRIBUTES.DMG_AGAINST_HUMAN)]).toUint() * RACE_SPECIFIC
          + (attributes[uint(IStatController.ATTRIBUTES.DMG_AGAINST_UNDEAD)]).toUint() * RACE_SPECIFIC
          + (attributes[uint(IStatController.ATTRIBUTES.DMG_AGAINST_DAEMON)]).toUint() * RACE_SPECIFIC
          + (attributes[uint(IStatController.ATTRIBUTES.DMG_AGAINST_BEAST)]).toUint() * RACE_SPECIFIC
          + (attributes[uint(IStatController.ATTRIBUTES.DEF_AGAINST_HUMAN)]).toUint() * RACE_SPECIFIC
          + (attributes[uint(IStatController.ATTRIBUTES.DEF_AGAINST_UNDEAD)]).toUint() * RACE_SPECIFIC
          + (attributes[uint(IStatController.ATTRIBUTES.DEF_AGAINST_DAEMON)]).toUint() * RACE_SPECIFIC
          + (attributes[uint(IStatController.ATTRIBUTES.DEF_AGAINST_BEAST)]).toUint() * RACE_SPECIFIC;
      }
      {
        result +=
          (attributes[uint(IStatController.ATTRIBUTES.STUN)]).toUint() * STATUSES
          + (attributes[uint(IStatController.ATTRIBUTES.BURN)]).toUint() * STATUSES
          + (attributes[uint(IStatController.ATTRIBUTES.FREEZE)]).toUint() * STATUSES
          + (attributes[uint(IStatController.ATTRIBUTES.CONFUSE)]).toUint() * STATUSES
          + (attributes[uint(IStatController.ATTRIBUTES.CURSE)]).toUint() * STATUSES
          + (attributes[uint(IStatController.ATTRIBUTES.POISON)]).toUint() * STATUSES;
      }
      {
        result +=
          (attributes[uint(IStatController.ATTRIBUTES.LIFE_CHANCES)]).toUint() * LIFE_CHANCES
          + (attributes[uint(IStatController.ATTRIBUTES.MAGIC_FIND)]).toUint() * MAGIC_FIND
          + (attributes[uint(IStatController.ATTRIBUTES.CRITICAL_HIT)]).toUint() * CRITICAL_HIT
          + (attributes[uint(IStatController.ATTRIBUTES.MELEE_DMG_FACTOR)]).toUint() * DMG_FACTOR
          + (attributes[uint(IStatController.ATTRIBUTES.FIRE_DMG_FACTOR)]).toUint() * DMG_FACTOR
          + (attributes[uint(IStatController.ATTRIBUTES.COLD_DMG_FACTOR)]).toUint() * DMG_FACTOR
          + (attributes[uint(IStatController.ATTRIBUTES.LIGHTNING_DMG_FACTOR)]).toUint() * DMG_FACTOR;
      }
      {
        result +=
          (attributes[uint(IStatController.ATTRIBUTES.AR_FACTOR)]).toUint() * AR_FACTOR
          + (attributes[uint(IStatController.ATTRIBUTES.LIFE_STOLEN_PER_HIT)]).toUint() * LIFE_STOLEN_PER_HIT
          + (attributes[uint(IStatController.ATTRIBUTES.MANA_AFTER_KILL)]).toUint() * MANA_AFTER_KILL
          + (attributes[uint(IStatController.ATTRIBUTES.DAMAGE_REDUCTION)]).toUint() * DAMAGE_REDUCTION
          + (attributes[uint(IStatController.ATTRIBUTES.REFLECT_DAMAGE_MELEE)]).toUint() * REFLECT_DAMAGE
          + (attributes[uint(IStatController.ATTRIBUTES.REFLECT_DAMAGE_MAGIC)]).toUint() * REFLECT_DAMAGE
          + (attributes[uint(IStatController.ATTRIBUTES.RESIST_TO_STATUSES)]).toUint() * RESIST_TO_STATUSES;
      }
    }
    return result;
  }

  function itemScore(int32[] memory attributes, uint16 baseDurability) internal pure returns (uint) {
    return attributesScore(attributes, false) + baseDurability * DURABILITY_SCORE;
  }

  function heroScore(int32[] memory attributes, uint level) internal pure returns (uint) {
    return attributesScore(attributes, true) + level * HERO_LEVEL_SCORE;
  }

}

// SPDX-License-Identifier: BUSL-1.1
pragma solidity 0.8.23;

/// @notice All errors of the app
interface IAppErrors {

  //region ERC20Errors
  /**
     * @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);

  //endregion ERC20Errors

  //region ERC721Errors

  /**
  * @dev Indicates that an address can't be an owner. For example, `address(0)` is a forbidden owner in ERC-20.
     * Used in balance queries.
     * @param owner Address of the current owner of a token.
     */
  error ERC721InvalidOwner(address owner);

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

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

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

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

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

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

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

  //endregion ERC721Errors

  error ZeroAddress();
  error ZeroValueNotAllowed();
  error ZeroToken();
  error LengthsMismatch();
  error NotEnoughBalance();
  error NotEnoughAllowance();
  error EmptyNameNotAllowed();
  error NotInitialized();
  error AlreadyInitialized();
  error ReentrancyGuardReentrantCall();
  error TooLongString();
  error AlreadyDeployed(address deployed);

  //region Restrictions
  error ErrorNotDeployer(address sender);
  error ErrorNotGoc();
  error NotGovernance(address sender);
  error ErrorOnlyEoa();
  error NotEOA(address sender);
  error ErrorForbidden(address sender);
  error AdminOnly();
  error ErrorNotItemController(address sender);
  error ErrorNotHeroController(address sender);
  error ErrorNotDungeonFactory(address sender);
  error ErrorNotObjectController(address sender);
  error ErrorNotStoryController();
  error ErrorNotAllowedSender();
  error MintNotAllowed();
  //endregion Restrictions

  //region PackingLib
  error TooHighValue(uint value);
  error IntValueOutOfRange(int value);
  error OutOfBounds(uint index, uint length);
  error UnexpectedValue(uint expected, uint actual);
  error WrongValue(uint newValue, uint actual);
  error IntOutOfRange(int value);
  error ZeroValue();
  /// @notice packCustomDataChange requires an input string with two zero bytes at the beginning
  ///         0xXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX0000
  /// This error happens if these bytes are not zero
  error IncompatibleInputString();
  error IncorrectOtherItemTypeKind(uint8 kind);
  //endregion PackingLib

  //region Hero
  error ErrorHeroIsNotRegistered(address heroToken);
  error ErrorHeroIsDead(address heroToken, uint heroTokenId);
  error ErrorHeroNotInDungeon();
  error HeroInDungeon();
  error ErrorNotOwner(address token, uint tokenId);
  error Staked(address heroToken, uint heroId);
  error NameTaken();
  error TooBigName();
  error WrongSymbolsInTheName();
  error NoPayToken(address token, uint payTokenAmount);
  error AlreadyHaveReinforcement();
  /// @notice SIP-001 - Reinforcement requires 3 skills
  error ErrorReinforcementRequiresThreeSkills();
  error WrongTier(uint tier);
  error NotEnoughNgLevel(uint8 ngLevel);
  error NgpNotActive(address hero);
  error RebornNotAllowed();
  error AlreadyPrePaidHero();
  //endregion Hero

  //region Dungeon
  error ErrorDungeonIsFreeAlready();
  error ErrorNoEligibleDungeons();
  error ErrorDungeonBusy();
  error ErrorNoDungeonsForBiome(uint8 heroBiome);
  error ErrorDungeonCompleted();
  error ErrorAlreadyInDungeon();
  error NotEnoughTokens(uint balance, uint expectedBalance);
  error DungeonAlreadySpecific(uint16 dungNum);
  error DungeonAlreadySpecific2(uint16 dungNum);
  error WrongSpecificDungeon();
  //endregion Dungeon

  //region Items
  error ErrorItemNotEligibleForTheSlot(uint itemType, uint8 itemSlot);
  error ErrorItemSlotBusyHand(uint8 slot);
  error ErrorItemSlotBusy();
  error ErrorItemNotInSlot();
  error ErrorConsumableItemIsUsed(address item);
  error ErrorCannotRemoveItemFromMap();
  error ErrorCannotRemoveDataFromMap();
  error EquippedItemsExist();
  error ItemEquipped(address item, uint itemId);
  error ZeroItemMetaType();
  error NotZeroOtherItemMetaType();
  error ZeroLevel();
  error ItemTypeChanged();
  error ItemMetaTypeChanged();
  error UnknownItem(address item);
  error ErrorEquipForbidden();
  error EquipForbiddenInDungeon();
  error TakeOffForbiddenInDungeon();
  error Consumable(address item);
  error NotConsumable(address item);
  error Broken(address item);
  error ZeroLife();
  error RequirementsToItemAttributes();
  error NotEquipped(address item);
  error ZeroDurability();
  error ZeroAugmentation();
  error TooHighAgLevel(uint8 augmentationLevel);
  error UseForbiddenZeroPayToken();
  error IncorrectMinMaxAttributeRange(int32 min, int32 max);
  error SameIdsNotAllowed();
  error ZeroFragility();
  error OtherTypeItemNotRepairable();
  error NotOther();
  error DoubleItemUsageForbidden(uint itemIndex, address[] items);
  error ItemAlreadyUsedInSlot(address item, uint8 equippedSlot);
  error WrongWayToRegisterItem();
  error UnionItemNotFound(address item);
  error WrongListUnionItemTokens(address item, uint countTokens, uint requiredCountTokens);
  error UnknownUnionConfig(uint unionConfigId);
  error UserHasNoKeyPass(address user, address keyPassItem);
  error MaxValue(uint value);
  error UnexpectedOtherItem(address item);
  error NotExist();
  //endregion Items

  //region Stages
  error ErrorWrongStage(uint stage);
  error ErrorNotStages();
  //endregion Stages

  //region Level
  error ErrorWrongLevel(uint heroLevel);
  error ErrorLevelTooLow(uint heroLevel);
  error ErrorHeroLevelStartFrom1();
  error ErrorWrongLevelUpSum();
  error ErrorMaxLevel();
  //endregion Level

  //region Treasure
  error ErrorNotValidTreasureToken(address treasureToken);
  //endregion Treasure

  //region State
  error ErrorPaused();
  error ErrorNotReady();
  error ErrorNotObject1();
  error ErrorNotObject2();
  error ErrorNotCompleted();
  //endregion State

  //region Biome
  error ErrorNotBiome();
  error ErrorIncorrectBiome(uint biome);
  error TooHighBiome(uint biome);
  //endregion Biome

  //region Misc
  error ErrorWrongMultiplier(uint multiplier);
  error ErrorNotEnoughMana(uint32 mana, uint requiredMana);
  error ErrorExperienceMustNotDecrease();
  error ErrorNotEnoughExperience();
  error ErrorNotChances();
  error ErrorNotEligible(address heroToken, uint16 dungNum);
  error ErrorZeroKarmaNotAllowed();
  //endregion Misc

  //region GOC
  error GenObjectIdBiomeOverflow(uint8 biome);
  error GenObjectIdSubTypeOverflow(uint subType);
  error GenObjectIdIdOverflow(uint id);
  error UnknownObjectTypeGoc1(uint8 objectType);
  error UnknownObjectTypeGoc2(uint8 objectType);
  error UnknownObjectTypeGocLib1(uint8 objectType);
  error UnknownObjectTypeGocLib2(uint8 objectType);
  error UnknownObjectTypeForSubtype(uint8 objectSubType);
  error FightDelay();
  error ZeroChance();
  error TooHighChance(uint32 chance);
  error TooHighRandom(uint random);
  error EmptyObjects();
  error ObjectNotFound();
  error WrongGetObjectTypeInput();
  error WrongChances(uint32 chances, uint32 maxChances);
  //endregion GOC

  //region Story
  error PageNotRemovedError(uint pageId);
  error NotItem1();
  error NotItem2();
  error NotRandom(uint32 random);
  error NotHeroData();
  error NotGlobalData();
  error ZeroStoryIdRemoveStory();
  error ZeroStoryIdStoryAction();
  error ZeroStoryIdAction();
  error NotEnoughAmount(uint balance, uint requiredAmount);
  error NotAnswer();
  error AnswerStoryIdMismatch(uint16 storyId, uint16 storyIdFromAnswerHash);
  error AnswerPageIdMismatch(uint16 pageId, uint16 pageIdFromAnswerHash);
  //endregion Story

  //region FightLib
  error NotMagic();
  error NotAType(uint atype);
  //endregion FightLib

  //region MonsterLib
  error NotYourDebuffItem();
  error UnknownAttackType(uint attackType);
  error NotYourAttackItem();
  /// @notice The skill item cannot be used because it doesn't belong either to the hero or to the hero's helper
  error NotYourBuffItem();
  //endregion MonsterLib

  //region GameToken
  error ApproveToZeroAddress();
  error MintToZeroAddress();
  error TransferToZeroAddress();
  error TransferAmountExceedsBalance(uint balance, uint value);
  error InsufficientAllowance();
  error BurnAmountExceedsBalance();
  error NotMinter(address sender);
  //endregion GameToken

  //region NFT
  error TokenTransferNotAllowed();
  error IdOverflow(uint id);
  error NotExistToken(uint tokenId);
  error EquippedItemIsNotAllowedToTransfer(uint tokenId);
  //endregion NFT

  //region CalcLib
  error TooLowX(uint x);
  //endregion CalcLib

  //region Controller
  error NotFutureGovernance(address sender);
  //endregion Controller

  //region Oracle
  error OracleWrongInput();
  //endregion Oracle

  //region ReinforcementController
  error AlreadyStaked();
  error MaxFee(uint8 fee);
  error MinFee(uint8 fee);
  error StakeHeroNotStats();
  error NotStaked();
  error NoStakedHeroes();
  error GuildHelperNotAvailable(uint guildId, address helper, uint helperId);
  error HelperNotAvailableInGivenBiome();
  //endregion ReinforcementController

  //region SponsoredHero
  error InvalidHeroClass();
  error ZeroAmount();
  error InvalidProof();
  error NoHeroesAvailable();
  error AlreadyRegistered();
  //endregion SponsoredHero

  //region SacraRelay
  error SacraRelayNotOwner();
  error SacraRelayNotDelegator();
  error SacraRelayNotOperator();
  error SacraRelayInvalidChainId(uint callChainId, uint blockChainId);
  error SacraRelayInvalidNonce(uint callNonce, uint txNonce);
  error SacraRelayDeadline();
  error SacraRelayDelegationExpired();
  error SacraRelayNotAllowed();
  error SacraRelayInvalidSignature();
  /// @notice This error is generated when custom error is caught
  /// There is no info about custom error in SacraRelay
  /// but you can decode custom error by selector, see tests
  error SacraRelayNoErrorSelector(bytes4 selector, string tracingInfo);
  /// @notice This error is generated when custom error is caught
  /// There is no info about custom error in SacraRelay
  /// but you can decode custom error manually from {errorBytes} as following:
  /// if (keccak256(abi.encodeWithSignature("MyError()")) == keccak256(errorBytes)) { ... }
  error SacraRelayUnexpectedReturnData(bytes errorBytes, string tracingInfo);
  error SacraRelayCallToNotContract(address notContract, string tracingInfo);
  //endregion SacraRelay

  //region Misc
  error UnknownHeroClass(uint heroClass);
  error AbsDiff(int32 a, int32 b);
  //region Misc

  //region ------------------------ UserController
  error NoAvailableLootBox(address msgSender, uint lootBoxKind);
  error FameHallHeroAlreadyRegistered(uint8 openedNgLevel);

  //endregion ------------------------ UserController

  //region ------------------------ Guilds
  error AlreadyGuildMember();
  error NotGuildMember();
  error WrongGuild();
  error GuildActionForbidden(uint right);
  error GuildHasMaxSize(uint guildSize);
  error GuildHasMaxLevel(uint level);
  error TooLongUrl();
  error TooLongDescription();
  error CannotRemoveGuildOwnerFromNotEmptyGuild();
  error GuildControllerOnly();
  error GuildAlreadyHasShelter();
  error ShelterIsBusy();
  error ShelterIsNotRegistered();
  error ShelterIsNotOwnedByTheGuild();
  error ShelterIsInUse();
  error GuildHasNoShelter();
  error ShelterBidIsNotAllowedToBeUsed();
  error ShelterHasHeroesInside();
  error SecondGuildAdminIsNotAllowed();
  error NotEnoughGuildBankBalance(uint guildId);

  error GuildReinforcementCooldownPeriod();
  error NoStakedGuildHeroes();
  error NotStakedInGuild();
  error ShelterHasNotEnoughLevelForReinforcement();
  error NotBusyGuildHelper();

  error GuildRequestNotActive();
  error GuildRequestNotAvailable();
  error NotAdminCannotAddMemberWithNotZeroRights();
  //endregion ------------------------ Guilds

  //region ------------------------ Shelters
  error ErrorNotShelterController();
  error ErrorNotGuildController();
  error ShelterHasNotItem(uint shelterId, address item);
  error MaxNumberItemsSoldToday(uint numSoldItems, uint limit);
  error GuildHasNotEnoughPvpPoints(uint64 pointsAvailable, uint pointRequired);
  error FreeShelterItemsAreNotAllowed(uint shelterId, address item);
  error TooLowShelterLevel(uint8 shelterLevel, uint8 allowedShelterLevel);
  error NotEnoughPvpPointsCapacity(address user, uint usedPoints, uint pricePvpPoints, uint64 capactiy);
  error IncorrectShelterLevel(uint8 shelterLevel);
  //endregion ------------------------ Shelters

  //region ------------------------ Auction
  error WrongAuctionPosition();
  error AuctionPositionClosed();
  error AuctionBidOpened(uint positionId);
  error TooLowAmountToBid();
  error AuctionEnded();
  error TooLowAmountForNewBid();
  error AuctionSellerOnly();
  error AuctionBuyerOnly();
  error AuctionBidNotFound();
  error AuctionBidClosed();
  error OnlyShelterAuction();
  error CannotCloseLastBid();
  error AuctionNotEnded();
  error NotShelterAuction();
  error AuctionPositionOpened(uint positionId);
  error AuctionSellerCannotBid();
  error CannotApplyNotLastBid();
  error AuctionGuildWithShelterCannotBid();
  //endregion ------------------------ Auction

  //region ------------------------ Pawnshop
  error AuctionPositionNotSupported(uint positionId);
  error PositionNotSupported(uint positionId);
  error NotNftPositionNotSupported(uint positionId);
  error CallFailed(bytes callResultData);

  error PawnShopZeroOwner();
  error PawnShopZeroFeeRecipient();
  error PawnShopNotOwner();
  error PawnShopAlreadyAnnounced();
  error PawnShopTimeLock();
  error PawnShopWrongAddressValue();
  error PawnShopWrongUintValue();
  error PawnShopZeroAddress();
  error PawnShopTooHighValue();
  error PawnShopZeroAToken();
  error PawnShopZeroCToken();
  error PawnShopWrongAmounts();
  error PawnShopPosFeeForInstantDealForbidden();
  error PawnShopPosFeeAbsurdlyHigh();
  error PawnShopIncorrect();
  error PawnShopWrongId();
  error PawnShopNotBorrower();
  error PawnShopPositionClosed();
  error PawnShopPositionExecuted();
  error PawnShopWrongBidAmount();
  error PawnShopTooLowBid();
  error PawnShopNewBidTooLow();
  error PawnShopBidAlreadyExists();
  error PawnShopAuctionEnded();
  error PawnShopNotLender();
  error PawnShopTooEarlyToClaim();
  error PawnShopPositionNotExecuted();
  error PawnShopAlreadyClaimed();
  error PawnShopAuctionNotEnded();
  error PawnShopBidClosed();
  error PawnShopNoBids();
  error PawnShopAuctionBidNotFound();
  error PawnShopWrongBid();
  error PawnShopBidNotFound();

  //endregion ------------------------ Pawnshop
}

// SPDX-License-Identifier: BUSL-1.1

pragma solidity 0.8.23;
import "../openzeppelin/EnumerableSet.sol";
import "../openzeppelin/EnumerableMap.sol";

interface IStatController {

  /// @custom:storage-location erc7201:stat.controller.main
  struct MainState {
    mapping(bytes32 => bytes32[]) heroTotalAttributes;
    /// @dev heroAdr+heroId => int32 packed strength, dexterity, vitality, energy
    mapping(bytes32 => bytes32) _heroCore;
    mapping(bytes32 => bytes32[]) heroBonusAttributes;
    mapping(bytes32 => bytes32[]) heroTemporallyAttributes;
    /// @dev heroAdr+heroId => uint32 packed level, experience, life, mana, lifeChances
    mapping(bytes32 => bytes32) heroStats;
    /// @dev heroAdr+heroId+itemSlot => itemAdr + itemId
    mapping(bytes32 => bytes32) heroSlots;
    /// @dev heroAdr+heroId => busy slots uint8[] packed
    mapping(bytes32 => bytes32) heroBusySlots;
    mapping(bytes32 => EnumerableSet.AddressSet) usedConsumables;
    /// @dev heroCustomDataV2 is used instead
    mapping(bytes32 => mapping(bytes32 => uint)) _deprecated_heroCustomData;
    mapping(bytes32 => uint) globalCustomData;

    /// @notice packNftIdWithValue(hero, heroId, ngLevel) => hero custom data map
    /// @dev initially it was packedHero => hero custom data map
    mapping(bytes32 => EnumerableMap.Bytes32ToUintMap) heroCustomDataV2;
  }


  enum ATTRIBUTES {
    // core
    STRENGTH, // 0
    DEXTERITY, // 1
    VITALITY, // 2
    ENERGY, // 3
    // attributes
    DAMAGE_MIN, // 4
    DAMAGE_MAX, // 5
    ATTACK_RATING, // 6
    DEFENSE, // 7
    BLOCK_RATING, // 8
    LIFE, // 9
    MANA, // 10
    // resistance
    FIRE_RESISTANCE, // 11
    COLD_RESISTANCE, // 12
    LIGHTNING_RESISTANCE, // 13
    // dmg against
    DMG_AGAINST_HUMAN, // 14
    DMG_AGAINST_UNDEAD, // 15
    DMG_AGAINST_DAEMON, // 16
    DMG_AGAINST_BEAST, // 17

    // defence against
    DEF_AGAINST_HUMAN, // 18
    DEF_AGAINST_UNDEAD, // 19
    DEF_AGAINST_DAEMON, // 20
    DEF_AGAINST_BEAST, // 21

    // --- unique, not augmentable
    // hero will not die until have positive chances
    LIFE_CHANCES, // 22
    // increase chance to get an item
    MAGIC_FIND, // 23
    // decrease chance to get an item
    DESTROY_ITEMS, // 24
    // percent of chance x2 dmg
    CRITICAL_HIT, // 25
    // dmg factors
    MELEE_DMG_FACTOR, // 26
    FIRE_DMG_FACTOR, // 27
    COLD_DMG_FACTOR, // 28
    LIGHTNING_DMG_FACTOR, // 29
    // increase attack rating on given percent
    AR_FACTOR, // 30
    // percent of damage will be converted to HP
    LIFE_STOLEN_PER_HIT, // 31
    // amount of mana restored after each battle
    MANA_AFTER_KILL, // 32
    // reduce all damage on percent after all other reductions
    DAMAGE_REDUCTION, // 33

    // -- statuses
    // chance to stun an enemy, stunned enemy skip next hit
    STUN, // 34
    // chance burn an enemy, burned enemy will loss 50% of defence
    BURN, // 35
    // chance freeze an enemy, frozen enemy will loss 50% of MELEE damage
    FREEZE, // 36
    // chance to reduce enemy's attack rating on 50%
    CONFUSE, // 37
    // chance curse an enemy, cursed enemy will loss 50% of resistance
    CURSE, // 38
    // percent of dmg return to attacker
    REFLECT_DAMAGE_MELEE, // 39
    REFLECT_DAMAGE_MAGIC, // 40
    // chance to poison enemy, poisoned enemy will loss 10% of the current health
    POISON, // 41
    // reduce chance get any of uniq statuses
    RESIST_TO_STATUSES, // 42

    END_SLOT // 43
  }

  // possible
  // HEAL_FACTOR

  struct CoreAttributes {
    int32 strength;
    int32 dexterity;
    int32 vitality;
    int32 energy;
  }

  struct ChangeableStats {
    uint32 level;
    uint32 experience;
    uint32 life;
    uint32 mana;
    uint32 lifeChances;
  }

  enum ItemSlots {
    UNKNOWN, // 0
    HEAD, // 1
    BODY, // 2
    GLOVES, // 3
    BELT, // 4
    AMULET, // 5
    BOOTS, // 6
    RIGHT_RING, // 7
    LEFT_RING, // 8
    RIGHT_HAND, // 9
    LEFT_HAND, // 10
    TWO_HAND, // 11
    SKILL_1, // 12
    SKILL_2, // 13
    SKILL_3, // 14
    END_SLOT // 15
  }

  struct NftItem {
    address token;
    uint tokenId;
  }

  enum Race {
    UNKNOWN, // 0
    HUMAN, // 1
    UNDEAD, // 2
    DAEMON, // 3
    BEAST, // 4
    END_SLOT // 5
  }

  struct ChangeAttributesInfo {
    address heroToken;
    uint heroTokenId;
    int32[] changeAttributes;
    bool add;
    bool temporally;
  }

  struct BuffInfo {
    address heroToken;
    uint heroTokenId;
    uint32 heroLevel;
    address[] buffTokens;
    uint[] buffTokenIds;
  }

  /// @dev This struct is used inside event, so it's moved here from lib
  struct ActionInternalInfo {
    int32[] posAttributes;
    int32[] negAttributes;

    uint32 experience;
    int32 heal;
    int32 manaRegen;
    int32 lifeChancesRecovered;
    int32 damage;
    int32 manaConsumed;

    address[] mintedItems;
  }

  function initNewHero(address token, uint tokenId, uint heroClass) external;

  function heroAttributes(address token, uint tokenId) external view returns (int32[] memory);

  function heroAttribute(address token, uint tokenId, uint index) external view returns (int32);

  function heroAttributesLength(address token, uint tokenId) external view returns (uint);

  function heroBaseAttributes(address token, uint tokenId) external view returns (CoreAttributes memory);

  function heroCustomData(address token, uint tokenId, bytes32 index) external view returns (uint);

  function globalCustomData(bytes32 index) external view returns (uint);

  function heroStats(address token, uint tokenId) external view returns (ChangeableStats memory);

  function heroItemSlot(address token, uint64 tokenId, uint8 itemSlot) external view returns (bytes32 nftPacked);

  function heroItemSlots(address heroToken, uint heroTokenId) external view returns (uint8[] memory);

  function isHeroAlive(address heroToken, uint heroTokenId) external view returns (bool);

  function levelUp(address token, uint tokenId, uint heroClass, CoreAttributes memory change) external returns (uint newLvl);

  function changeHeroItemSlot(
    address heroToken,
    uint64 heroTokenId,
    uint itemType,
    uint8 itemSlot,
    address itemToken,
    uint itemTokenId,
    bool equip
  ) external;

  function changeCurrentStats(
    address token,
    uint tokenId,
    ChangeableStats memory change,
    bool increase
  ) external;

  function changeBonusAttributes(ChangeAttributesInfo memory info) external;

  function registerConsumableUsage(address heroToken, uint heroTokenId, address item) external;

  function clearUsedConsumables(address heroToken, uint heroTokenId) external;

  function clearTemporallyAttributes(address heroToken, uint heroTokenId) external;

  function buffHero(BuffInfo memory info) external view returns (int32[] memory attributes, int32 manaConsumed);

  function setHeroCustomData(address token, uint tokenId, bytes32 index, uint value) external;

  function setGlobalCustomData(bytes32 index, uint value) external;

  /// @notice Restore life and mana during reinforcement
  /// @dev Life and mana will be increased on ((current life/mana attr value) - (prev life/mana attr value))
  /// @param prevAttributes Hero attributes before reinforcement
  function restoreLifeAndMana(address heroToken, uint heroTokenId, int32[] memory prevAttributes) external;

  function reborn(address heroToken, uint heroTokenId, uint heroClass) external;
}

// SPDX-License-Identifier: BUSL-1.1
pragma solidity 0.8.23;

import "../interfaces/IAppErrors.sol";
import "../solady/LibPRNG.sol";

library CalcLib {

  uint32 public constant MAX_CHANCE = 1e9;

  function minI32(int32 a, int32 b) internal pure returns (int32) {
    return a < b ? a : b;
  }

  function max32(int32 a, int32 b) internal pure returns (int32) {
    return a >= b ? a : b;
  }

  function absDiff(int32 a, int32 b) internal pure returns (uint32) {
    if (!((a >= 0 && b >= 0) || (a <= 0 && b <= 0))) revert IAppErrors.AbsDiff(a, b);
    if (a < 0) {
      a = - a;
    }
    if (b < 0) {
      b = - b;
    }
    return uint32(uint(int(a >= b ? a - b : b - a)));
  }

  function toUint(int32 n) internal pure returns (uint) {
    if (n <= 0) {
      return 0;
    }
    return uint(int(n));
  }

  function toInt32(uint a) internal pure returns (int32){
    if (a >= uint(int(type(int32).max))) {
      return type(int32).max;
    }
    return int32(int(a));
  }

  /// @dev Simplified pseudo-random for minor functionality
  function pseudoRandom(uint maxValue) internal view returns (uint) {
    if (maxValue == 0) {
      return 0;
    }

    uint salt = genSalt();
    // pseudo random number
    return (uint(keccak256(abi.encodePacked(blockhash(block.number), block.coinbase, block.difficulty, block.number, block.timestamp, tx.gasprice, gasleft(), salt))) % (maxValue + 1));
  }

  function genSalt() internal view returns (uint salt) {
    // skale has a RNG Endpoint
    if (
      block.chainid == uint(1351057110)
      || block.chainid == uint(37084624)
    ) {
      assembly {
        let freemem := mload(0x40)
        let start_addr := add(freemem, 0)
        if iszero(staticcall(gas(), 0x18, 0, 0, start_addr, 32)) {
          invalid()
        }
        salt := mload(freemem)
      }
    }
  }

  function pseudoRandomUint32(uint32 maxValue) internal view returns (uint32) {
    return uint32(pseudoRandom(uint(maxValue)));
  }

  /// @notice Generate pseudo-random uint in the range [0..maxValue) using Solady pseudo-random function
  function nextPrng(LibPRNG.PRNG memory prng, uint maxValue) internal pure returns (uint) {
    return LibPRNG.next(prng) % maxValue;
  }

  /// @notice pseudoRandomUint32 with customizable pseudoRandom()
  function pseudoRandomUint32Flex(
    uint32 maxValue,
    function (uint) internal view returns (uint) random_
  ) internal view returns (uint32) {
    return uint32(random_(uint(maxValue)));
  }

  function pseudoRandomInt32(int32 maxValue) internal view returns (int32) {
    bool neg;
    if (maxValue < 0) {
      neg = true;
      maxValue = - maxValue;
    }
    uint32 v = uint32(pseudoRandom(uint(int(maxValue))));
    return neg
      ? - int32(int(uint(v)))
      : int32(int(uint(v)));
  }

  /// @dev Simplified pseudo-random for minor functionality
  function pseudoRandomWithSeed(uint maxValue, uint seed) internal view returns (uint) {
    if (maxValue == 0) {
      return 0;
    }
    uint salt = genSalt();
    // pseudo random number
    return (uint(keccak256(abi.encodePacked(blockhash(block.number), block.coinbase, block.difficulty, block.number, block.timestamp, tx.gasprice, gasleft(), seed, salt))) % (maxValue + 1));
  }

  /// @dev Simplified pseudo-random for minor functionality, in range
  function pseudoRandomInRange(uint min, uint max) internal view returns (uint) {
    if (min >= max) {
      return max;
    }
    uint r = pseudoRandom(max - min);
    return min + r;
  }

  /// @dev Simplified pseudo-random for minor functionality, in range
  ///      Equal to pseudoRandomInRange(min, max, pseudoRandom)
  function pseudoRandomInRangeFlex(
    uint min,
    uint max,
    function (uint) internal view returns (uint) random_
  ) internal view returns (uint) {
    return min >= max ? max : min + random_(max - min);
  }

  function minusWithZeroFloor(uint a, uint b) internal pure returns (uint){
    if (a <= b) {
      return 0;
    }
    return a - b;
  }

  function minusWithMinFloorI32(int32 a, int32 b) internal pure returns (int32){
    if (int(a) - int(b) < type(int32).min) {
      return type(int32).min;
    }
    return a - b;
  }

  function plusWithMaxFloor32(int32 a, int32 b) internal pure returns (int32){
    if (int(a) + int(b) >= type(int32).max) {
      return type(int32).max;
    }
    return a + b;
  }

  function sqrt(uint x) internal pure returns (uint z) {
    assembly {
    // Start off with z at 1.
      z := 1

    // Used below to help find a nearby power of 2.
      let y := x

    // Find the lowest power of 2 that is at least sqrt(x).
      if iszero(lt(y, 0x100000000000000000000000000000000)) {
        y := shr(128, y) // Like dividing by 2 ** 128.
        z := shl(64, z) // Like multiplying by 2 ** 64.
      }
      if iszero(lt(y, 0x10000000000000000)) {
        y := shr(64, y) // Like dividing by 2 ** 64.
        z := shl(32, z) // Like multiplying by 2 ** 32.
      }
      if iszero(lt(y, 0x100000000)) {
        y := shr(32, y) // Like dividing by 2 ** 32.
        z := shl(16, z) // Like multiplying by 2 ** 16.
      }
      if iszero(lt(y, 0x10000)) {
        y := shr(16, y) // Like dividing by 2 ** 16.
        z := shl(8, z) // Like multiplying by 2 ** 8.
      }
      if iszero(lt(y, 0x100)) {
        y := shr(8, y) // Like dividing by 2 ** 8.
        z := shl(4, z) // Like multiplying by 2 ** 4.
      }
      if iszero(lt(y, 0x10)) {
        y := shr(4, y) // Like dividing by 2 ** 4.
        z := shl(2, z) // Like multiplying by 2 ** 2.
      }
      if iszero(lt(y, 0x8)) {
      // Equivalent to 2 ** z.
        z := shl(1, z)
      }

    // Shifting right by 1 is like dividing by 2.
      z := shr(1, add(z, div(x, z)))
      z := shr(1, add(z, div(x, z)))
      z := shr(1, add(z, div(x, z)))
      z := shr(1, add(z, div(x, z)))
      z := shr(1, add(z, div(x, z)))
      z := shr(1, add(z, div(x, z)))
      z := shr(1, add(z, div(x, z)))

    // Compute a rounded down version of z.
      let zRoundDown := div(x, z)

    // If zRoundDown is smaller, use it.
      if lt(zRoundDown, z) {
        z := zRoundDown
      }
    }
  }

  /*********************************************
 *              PRB-MATH                      *
 *   https://github.com/hifi-finance/prb-math *
 **********************************************/
  /// @notice Calculates the binary logarithm of x.
  ///
  /// @dev Based on the iterative approximation algorithm.
  /// https://en.wikipedia.org/wiki/Binary_logarithm#Iterative_approximation
  ///
  /// Requirements:
  /// - x must be greater than or equal to SCALE, otherwise the result would be negative.
  ///
  /// Caveats:
  /// - The results are nor perfectly accurate to the last decimal,
  ///   due to the lossy precision of the iterative approximation.
  ///
  /// @param x The unsigned 60.18-decimal fixed-point number for which
  ///           to calculate the binary logarithm.
  /// @return result The binary logarithm as an unsigned 60.18-decimal fixed-point number.
  function log2(uint256 x) internal pure returns (uint256 result) {
    if (x < 1e18) revert IAppErrors.TooLowX(x);

    // Calculate the integer part of the logarithm
    // and add it to the result and finally calculate y = x * 2^(-n).
    uint256 n = mostSignificantBit(x / 1e18);

    // The integer part of the logarithm as an unsigned 60.18-decimal fixed-point number.
    // The operation can't overflow because n is maximum 255 and SCALE is 1e18.
    uint256 rValue = n * 1e18;

    // This is y = x * 2^(-n).
    uint256 y = x >> n;

    // If y = 1, the fractional part is zero.
    if (y == 1e18) {
      return rValue;
    }

    // Calculate the fractional part via the iterative approximation.
    // The "delta >>= 1" part is equivalent to "delta /= 2", but shifting bits is faster.
    for (uint256 delta = 5e17; delta > 0; delta >>= 1) {
      y = (y * y) / 1e18;

      // Is y^2 > 2 and so in the range [2,4)?
      if (y >= 2 * 1e18) {
        // Add the 2^(-m) factor to the logarithm.
        rValue += delta;

        // Corresponds to z/2 on Wikipedia.
        y >>= 1;
      }
    }
    return rValue;
  }

  /// @notice Finds the zero-based index of the first one in the binary representation of x.
  /// @dev See the note on msb in the "Find First Set"
  ///      Wikipedia article https://en.wikipedia.org/wiki/Find_first_set
  /// @param x The uint256 number for which to find the index of the most significant bit.
  /// @return msb The index of the most significant bit as an uint256.
  //noinspection NoReturn
  function mostSignificantBit(uint256 x) internal pure returns (uint256 msb) {
    if (x >= 2 ** 128) {
      x >>= 128;
      msb += 128;
    }
    if (x >= 2 ** 64) {
      x >>= 64;
      msb += 64;
    }
    if (x >= 2 ** 32) {
      x >>= 32;
      msb += 32;
    }
    if (x >= 2 ** 16) {
      x >>= 16;
      msb += 16;
    }
    if (x >= 2 ** 8) {
      x >>= 8;
      msb += 8;
    }
    if (x >= 2 ** 4) {
      x >>= 4;
      msb += 4;
    }
    if (x >= 2 ** 2) {
      x >>= 2;
      msb += 2;
    }
    if (x >= 2 ** 1) {
      // No need to shift x any more.
      msb += 1;
    }
  }

}

// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts (last updated v5.0.0) (utils/structs/EnumerableMap.sol)
// This file was procedurally generated from scripts/generate/templates/EnumerableMap.js.

pragma solidity ^0.8.20;

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

/**
 * @dev Library for managing an enumerable variant of Solidity's
 * https://solidity.readthedocs.io/en/latest/types.html#mapping-types[`mapping`]
 * type.
 *
 * Maps have the following properties:
 *
 * - Entries are added, removed, and checked for existence in constant time
 * (O(1)).
 * - Entries are enumerated in O(n). No guarantees are made on the ordering.
 *
 * ```solidity
 * contract Example {
 *     // Add the library methods
 *     using EnumerableMap for EnumerableMap.UintToAddressMap;
 *
 *     // Declare a set state variable
 *     EnumerableMap.UintToAddressMap private myMap;
 * }
 * ```
 *
 * The following map types are supported:
 *
 * - `uint256 -> address` (`UintToAddressMap`) since v3.0.0
 * - `address -> uint256` (`AddressToUintMap`) since v4.6.0
 * - `bytes32 -> bytes32` (`Bytes32ToBytes32Map`) since v4.6.0
 * - `uint256 -> uint256` (`UintToUintMap`) since v4.7.0
 * - `bytes32 -> uint256` (`Bytes32ToUintMap`) since v4.7.0
 *
 * [WARNING]
 * ====
 * Trying to delete such a structure from storage will likely result in data corruption, rendering the structure
 * unusable.
 * See https://github.com/ethereum/solidity/pull/11843[ethereum/solidity#11843] for more info.
 *
 * In order to clean an EnumerableMap, you can either remove all elements one by one or create a fresh instance using an
 * array of EnumerableMap.
 * ====
 */
library EnumerableMap {
  using EnumerableSet for EnumerableSet.Bytes32Set;

  // To implement this library for multiple types with as little code repetition as possible, we write it in
  // terms of a generic Map type with bytes32 keys and values. The Map implementation uses private functions,
  // and user-facing implementations such as `UintToAddressMap` are just wrappers around the underlying Map.
  // This means that we can only create new EnumerableMaps for types that fit in bytes32.

  /**
   * @dev Query for a nonexistent map key.
     */
  error EnumerableMapNonexistentKey(bytes32 key);

  struct Bytes32ToBytes32Map {
    // Storage of keys
    EnumerableSet.Bytes32Set _keys;
    mapping(bytes32 key => bytes32) _values;
  }

  /**
   * @dev Adds a key-value pair to a map, or updates the value for an existing
     * key. O(1).
     *
     * Returns true if the key was added to the map, that is if it was not
     * already present.
     */
  function set(Bytes32ToBytes32Map storage map, bytes32 key, bytes32 value) internal returns (bool) {
    map._values[key] = value;
    return map._keys.add(key);
  }

  /**
   * @dev Removes a key-value pair from a map. O(1).
     *
     * Returns true if the key was removed from the map, that is if it was present.
     */
  function remove(Bytes32ToBytes32Map storage map, bytes32 key) internal returns (bool) {
    delete map._values[key];
    return map._keys.remove(key);
  }

  /**
   * @dev Returns true if the key is in the map. O(1).
     */
  function contains(Bytes32ToBytes32Map storage map, bytes32 key) internal view returns (bool) {
    return map._keys.contains(key);
  }

  /**
   * @dev Returns the number of key-value pairs in the map. O(1).
     */
  function length(Bytes32ToBytes32Map storage map) internal view returns (uint256) {
    return map._keys.length();
  }

  /**
   * @dev Returns the key-value pair stored at position `index` in the map. O(1).
     *
     * Note that there are no guarantees on the ordering of entries inside the
     * array, and it may change when more entries are added or removed.
     *
     * Requirements:
     *
     * - `index` must be strictly less than {length}.
     */
  function at(Bytes32ToBytes32Map storage map, uint256 index) internal view returns (bytes32, bytes32) {
    bytes32 key = map._keys.at(index);
    return (key, map._values[key]);
  }

  /**
   * @dev Tries to returns the value associated with `key`. O(1).
     * Does not revert if `key` is not in the map.
     */
  function tryGet(Bytes32ToBytes32Map storage map, bytes32 key) internal view returns (bool, bytes32) {
    bytes32 value = map._values[key];
    if (value == bytes32(0)) {
      return (contains(map, key), bytes32(0));
    } else {
      return (true, value);
    }
  }

  /**
   * @dev Returns the value associated with `key`. O(1).
     *
     * Requirements:
     *
     * - `key` must be in the map.
     */
  function get(Bytes32ToBytes32Map storage map, bytes32 key) internal view returns (bytes32) {
    bytes32 value = map._values[key];
    if (value == 0 && !contains(map, key)) {
      revert EnumerableMapNonexistentKey(key);
    }
    return value;
  }

  /**
   * @dev Return the an array containing all the keys
     *
     * WARNING: This operation will copy the entire storage to memory, which can be quite expensive. This is designed
     * to mostly be used by view accessors that are queried without any gas fees. Developers should keep in mind that
     * this function has an unbounded cost, and using it as part of a state-changing function may render the function
     * uncallable if the map grows to a point where copying to memory consumes too much gas to fit in a block.
     */
  function keys(Bytes32ToBytes32Map storage map) internal view returns (bytes32[] memory) {
    return map._keys.values();
  }

  // UintToUintMap

  struct UintToUintMap {
    Bytes32ToBytes32Map _inner;
  }

  /**
   * @dev Adds a key-value pair to a map, or updates the value for an existing
     * key. O(1).
     *
     * Returns true if the key was added to the map, that is if it was not
     * already present.
     */
  function set(UintToUintMap storage map, uint256 key, uint256 value) internal returns (bool) {
    return set(map._inner, bytes32(key), bytes32(value));
  }

  /**
   * @dev Removes a value from a map. O(1).
     *
     * Returns true if the key was removed from the map, that is if it was present.
     */
  function remove(UintToUintMap storage map, uint256 key) internal returns (bool) {
    return remove(map._inner, bytes32(key));
  }

  /**
   * @dev Returns true if the key is in the map. O(1).
     */
  function contains(UintToUintMap storage map, uint256 key) internal view returns (bool) {
    return contains(map._inner, bytes32(key));
  }

  /**
   * @dev Returns the number of elements in the map. O(1).
     */
  function length(UintToUintMap storage map) internal view returns (uint256) {
    return length(map._inner);
  }

  /**
   * @dev Returns the element stored at position `index` in the map. O(1).
     * Note that there are no guarantees on the ordering of values inside the
     * array, and it may change when more values are added or removed.
     *
     * Requirements:
     *
     * - `index` must be strictly less than {length}.
     */
  function at(UintToUintMap storage map, uint256 index) internal view returns (uint256, uint256) {
    (bytes32 key, bytes32 value) = at(map._inner, index);
    return (uint256(key), uint256(value));
  }

  /**
   * @dev Tries to returns the value associated with `key`. O(1).
     * Does not revert if `key` is not in the map.
     */
  function tryGet(UintToUintMap storage map, uint256 key) internal view returns (bool, uint256) {
    (bool success, bytes32 value) = tryGet(map._inner, bytes32(key));
    return (success, uint256(value));
  }

  /**
   * @dev Returns the value associated with `key`. O(1).
     *
     * Requirements:
     *
     * - `key` must be in the map.
     */
  function get(UintToUintMap storage map, uint256 key) internal view returns (uint256) {
    return uint256(get(map._inner, bytes32(key)));
  }

  /**
   * @dev Return the an array containing all the keys
     *
     * WARNING: This operation will copy the entire storage to memory, which can be quite expensive. This is designed
     * to mostly be used by view accessors that are queried without any gas fees. Developers should keep in mind that
     * this function has an unbounded cost, and using it as part of a state-changing function may render the function
     * uncallable if the map grows to a point where copying to memory consumes too much gas to fit in a block.
     */
  function keys(UintToUintMap storage map) internal view returns (uint256[] memory) {
    bytes32[] memory store = keys(map._inner);
    uint256[] memory result;

    /// @solidity memory-safe-assembly
    assembly {
      result := store
    }

    return result;
  }

  // UintToAddressMap

  struct UintToAddressMap {
    Bytes32ToBytes32Map _inner;
  }

  /**
   * @dev Adds a key-value pair to a map, or updates the value for an existing
     * key. O(1).
     *
     * Returns true if the key was added to the map, that is if it was not
     * already present.
     */
  function set(UintToAddressMap storage map, uint256 key, address value) internal returns (bool) {
    return set(map._inner, bytes32(key), bytes32(uint256(uint160(value))));
  }

  /**
   * @dev Removes a value from a map. O(1).
     *
     * Returns true if the key was removed from the map, that is if it was present.
     */
  function remove(UintToAddressMap storage map, uint256 key) internal returns (bool) {
    return remove(map._inner, bytes32(key));
  }

  /**
   * @dev Returns true if the key is in the map. O(1).
     */
  function contains(UintToAddressMap storage map, uint256 key) internal view returns (bool) {
    return contains(map._inner, bytes32(key));
  }

  /**
   * @dev Returns the number of elements in the map. O(1).
     */
  function length(UintToAddressMap storage map) internal view returns (uint256) {
    return length(map._inner);
  }

  /**
   * @dev Returns the element stored at position `index` in the map. O(1).
     * Note that there are no guarantees on the ordering of values inside the
     * array, and it may change when more values are added or removed.
     *
     * Requirements:
     *
     * - `index` must be strictly less than {length}.
     */
  function at(UintToAddressMap storage map, uint256 index) internal view returns (uint256, address) {
    (bytes32 key, bytes32 value) = at(map._inner, index);
    return (uint256(key), address(uint160(uint256(value))));
  }

  /**
   * @dev Tries to returns the value associated with `key`. O(1).
     * Does not revert if `key` is not in the map.
     */
  function tryGet(UintToAddressMap storage map, uint256 key) internal view returns (bool, address) {
    (bool success, bytes32 value) = tryGet(map._inner, bytes32(key));
    return (success, address(uint160(uint256(value))));
  }

  /**
   * @dev Returns the value associated with `key`. O(1).
     *
     * Requirements:
     *
     * - `key` must be in the map.
     */
  function get(UintToAddressMap storage map, uint256 key) internal view returns (address) {
    return address(uint160(uint256(get(map._inner, bytes32(key)))));
  }

  /**
   * @dev Return the an array containing all the keys
     *
     * WARNING: This operation will copy the entire storage to memory, which can be quite expensive. This is designed
     * to mostly be used by view accessors that are queried without any gas fees. Developers should keep in mind that
     * this function has an unbounded cost, and using it as part of a state-changing function may render the function
     * uncallable if the map grows to a point where copying to memory consumes too much gas to fit in a block.
     */
  function keys(UintToAddressMap storage map) internal view returns (uint256[] memory) {
    bytes32[] memory store = keys(map._inner);
    uint256[] memory result;

    /// @solidity memory-safe-assembly
    assembly {
      result := store
    }

    return result;
  }

  // AddressToUintMap

  struct AddressToUintMap {
    Bytes32ToBytes32Map _inner;
  }

  /**
   * @dev Adds a key-value pair to a map, or updates the value for an existing
     * key. O(1).
     *
     * Returns true if the key was added to the map, that is if it was not
     * already present.
     */
  function set(AddressToUintMap storage map, address key, uint256 value) internal returns (bool) {
    return set(map._inner, bytes32(uint256(uint160(key))), bytes32(value));
  }

  /**
   * @dev Removes a value from a map. O(1).
     *
     * Returns true if the key was removed from the map, that is if it was present.
     */
  function remove(AddressToUintMap storage map, address key) internal returns (bool) {
    return remove(map._inner, bytes32(uint256(uint160(key))));
  }

  /**
   * @dev Returns true if the key is in the map. O(1).
     */
  function contains(AddressToUintMap storage map, address key) internal view returns (bool) {
    return contains(map._inner, bytes32(uint256(uint160(key))));
  }

  /**
   * @dev Returns the number of elements in the map. O(1).
     */
  function length(AddressToUintMap storage map) internal view returns (uint256) {
    return length(map._inner);
  }

  /**
   * @dev Returns the element stored at position `index` in the map. O(1).
     * Note that there are no guarantees on the ordering of values inside the
     * array, and it may change when more values are added or removed.
     *
     * Requirements:
     *
     * - `index` must be strictly less than {length}.
     */
  function at(AddressToUintMap storage map, uint256 index) internal view returns (address, uint256) {
    (bytes32 key, bytes32 value) = at(map._inner, index);
    return (address(uint160(uint256(key))), uint256(value));
  }

  /**
   * @dev Tries to returns the value associated with `key`. O(1).
     * Does not revert if `key` is not in the map.
     */
  function tryGet(AddressToUintMap storage map, address key) internal view returns (bool, uint256) {
    (bool success, bytes32 value) = tryGet(map._inner, bytes32(uint256(uint160(key))));
    return (success, uint256(value));
  }

  /**
   * @dev Returns the value associated with `key`. O(1).
     *
     * Requirements:
     *
     * - `key` must be in the map.
     */
  function get(AddressToUintMap storage map, address key) internal view returns (uint256) {
    return uint256(get(map._inner, bytes32(uint256(uint160(key)))));
  }

  /**
   * @dev Return the an array containing all the keys
     *
     * WARNING: This operation will copy the entire storage to memory, which can be quite expensive. This is designed
     * to mostly be used by view accessors that are queried without any gas fees. Developers should keep in mind that
     * this function has an unbounded cost, and using it as part of a state-changing function may render the function
     * uncallable if the map grows to a point where copying to memory consumes too much gas to fit in a block.
     */
  function keys(AddressToUintMap storage map) internal view returns (address[] memory) {
    bytes32[] memory store = keys(map._inner);
    address[] memory result;

    /// @solidity memory-safe-assembly
    assembly {
      result := store
    }

    return result;
  }

  // Bytes32ToUintMap

  struct Bytes32ToUintMap {
    Bytes32ToBytes32Map _inner;
  }

  /**
   * @dev Adds a key-value pair to a map, or updates the value for an existing
     * key. O(1).
     *
     * Returns true if the key was added to the map, that is if it was not
     * already present.
     */
  function set(Bytes32ToUintMap storage map, bytes32 key, uint256 value) internal returns (bool) {
    return set(map._inner, key, bytes32(value));
  }

  /**
   * @dev Removes a value from a map. O(1).
     *
     * Returns true if the key was removed from the map, that is if it was present.
     */
  function remove(Bytes32ToUintMap storage map, bytes32 key) internal returns (bool) {
    return remove(map._inner, key);
  }

  /**
   * @dev Returns true if the key is in the map. O(1).
     */
  function contains(Bytes32ToUintMap storage map, bytes32 key) internal view returns (bool) {
    return contains(map._inner, key);
  }

  /**
   * @dev Returns the number of elements in the map. O(1).
     */
  function length(Bytes32ToUintMap storage map) internal view returns (uint256) {
    return length(map._inner);
  }

  /**
   * @dev Returns the element stored at position `index` in the map. O(1).
     * Note that there are no guarantees on the ordering of values inside the
     * array, and it may change when more values are added or removed.
     *
     * Requirements:
     *
     * - `index` must be strictly less than {length}.
     */
  function at(Bytes32ToUintMap storage map, uint256 index) internal view returns (bytes32, uint256) {
    (bytes32 key, bytes32 value) = at(map._inner, index);
    return (key, uint256(value));
  }

  /**
   * @dev Tries to returns the value associated with `key`. O(1).
     * Does not revert if `key` is not in the map.
     */
  function tryGet(Bytes32ToUintMap storage map, bytes32 key) internal view returns (bool, uint256) {
    (bool success, bytes32 value) = tryGet(map._inner, key);
    return (success, uint256(value));
  }

  /**
   * @dev Returns the value associated with `key`. O(1).
     *
     * Requirements:
     *
     * - `key` must be in the map.
     */
  function get(Bytes32ToUintMap storage map, bytes32 key) internal view returns (uint256) {
    return uint256(get(map._inner, key));
  }

  /**
   * @dev Return the an array containing all the keys
     *
     * WARNING: This operation will copy the entire storage to memory, which can be quite expensive. This is designed
     * to mostly be used by view accessors that are queried without any gas fees. Developers should keep in mind that
     * this function has an unbounded cost, and using it as part of a state-changing function may render the function
     * uncallable if the map grows to a point where copying to memory consumes too much gas to fit in a block.
     */
  function keys(Bytes32ToUintMap storage map) internal view returns (bytes32[] memory) {
    bytes32[] memory store = keys(map._inner);
    bytes32[] memory result;

    /// @solidity memory-safe-assembly
    assembly {
      result := store
    }

    return result;
  }
}

// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts (last updated v5.0.0) (utils/structs/EnumerableSet.sol)
// This file was procedurally generated from scripts/generate/templates/EnumerableSet.js.

pragma solidity ^0.8.20;

/**
 * @dev Library for managing
 * https://en.wikipedia.org/wiki/Set_(abstract_data_type)[sets] of primitive
 * types.
 *
 * Sets have the following properties:
 *
 * - Elements are added, removed, and checked for existence in constant time
 * (O(1)).
 * - Elements are enumerated in O(n). No guarantees are made on the ordering.
 *
 * ```solidity
 * contract Example {
 *     // Add the library methods
 *     using EnumerableSet for EnumerableSet.AddressSet;
 *
 *     // Declare a set state variable
 *     EnumerableSet.AddressSet private mySet;
 * }
 * ```
 *
 * As of v3.3.0, sets of type `bytes32` (`Bytes32Set`), `address` (`AddressSet`)
 * and `uint256` (`UintSet`) are supported.
 *
 * [WARNING]
 * ====
 * Trying to delete such a structure from storage will likely result in data corruption, rendering the structure
 * unusable.
 * See https://github.com/ethereum/solidity/pull/11843[ethereum/solidity#11843] for more info.
 *
 * In order to clean an EnumerableSet, you can either remove all elements one by one or create a fresh instance using an
 * array of EnumerableSet.
 * ====
 */
library EnumerableSet {
  // To implement this library for multiple types with as little code
  // repetition as possible, we write it in terms of a generic Set type with
  // bytes32 values.
  // The Set implementation uses private functions, and user-facing
  // implementations (such as AddressSet) are just wrappers around the
  // underlying Set.
  // This means that we can only create new EnumerableSets for types that fit
  // in bytes32.

  struct Set {
    // Storage of set values
    bytes32[] _values;
    // Position is the index of the value in the `values` array plus 1.
    // Position 0 is used to mean a value is not in the set.
    mapping(bytes32 value => uint256) _positions;
  }

  /**
   * @dev Add a value to a set. O(1).
     *
     * Returns true if the value was added to the set, that is if it was not
     * already present.
     */
  function _add(Set storage set, bytes32 value) private returns (bool) {
    if (!_contains(set, value)) {
      set._values.push(value);
      // The value is stored at length-1, but we add 1 to all indexes
      // and use 0 as a sentinel value
      set._positions[value] = set._values.length;
      return true;
    } else {
      return false;
    }
  }

  /**
   * @dev Removes a value from a set. O(1).
     *
     * Returns true if the value was removed from the set, that is if it was
     * present.
     */
  function _remove(Set storage set, bytes32 value) private returns (bool) {
    // We cache the value's position to prevent multiple reads from the same storage slot
    uint256 position = set._positions[value];

    if (position != 0) {
      // Equivalent to contains(set, value)
      // To delete an element from the _values array in O(1), we swap the element to delete with the last one in
      // the array, and then remove the last element (sometimes called as 'swap and pop').
      // This modifies the order of the array, as noted in {at}.

      uint256 valueIndex = position - 1;
      uint256 lastIndex = set._values.length - 1;

      if (valueIndex != lastIndex) {
        bytes32 lastValue = set._values[lastIndex];

        // Move the lastValue to the index where the value to delete is
        set._values[valueIndex] = lastValue;
        // Update the tracked position of the lastValue (that was just moved)
        set._positions[lastValue] = position;
      }

      // Delete the slot where the moved value was stored
      set._values.pop();

      // Delete the tracked position for the deleted slot
      delete set._positions[value];

      return true;
    } else {
      return false;
    }
  }

  /**
   * @dev Returns true if the value is in the set. O(1).
     */
  function _contains(Set storage set, bytes32 value) private view returns (bool) {
    return set._positions[value] != 0;
  }

  /**
   * @dev Returns the number of values on the set. O(1).
     */
  function _length(Set storage set) private view returns (uint256) {
    return set._values.length;
  }

  /**
   * @dev Returns the value stored at position `index` in the set. O(1).
     *
     * Note that there are no guarantees on the ordering of values inside the
     * array, and it may change when more values are added or removed.
     *
     * Requirements:
     *
     * - `index` must be strictly less than {length}.
     */
  function _at(Set storage set, uint256 index) private view returns (bytes32) {
    return set._values[index];
  }

  /**
   * @dev Return the entire set in an array
     *
     * WARNING: This operation will copy the entire storage to memory, which can be quite expensive. This is designed
     * to mostly be used by view accessors that are queried without any gas fees. Developers should keep in mind that
     * this function has an unbounded cost, and using it as part of a state-changing function may render the function
     * uncallable if the set grows to a point where copying to memory consumes too much gas to fit in a block.
     */
  function _values(Set storage set) private view returns (bytes32[] memory) {
    return set._values;
  }

  // Bytes32Set

  struct Bytes32Set {
    Set _inner;
  }

  /**
   * @dev Add a value to a set. O(1).
     *
     * Returns true if the value was added to the set, that is if it was not
     * already present.
     */
  function add(Bytes32Set storage set, bytes32 value) internal returns (bool) {
    return _add(set._inner, value);
  }

  /**
   * @dev Removes a value from a set. O(1).
     *
     * Returns true if the value was removed from the set, that is if it was
     * present.
     */
  function remove(Bytes32Set storage set, bytes32 value) internal returns (bool) {
    return _remove(set._inner, value);
  }

  /**
   * @dev Returns true if the value is in the set. O(1).
     */
  function contains(Bytes32Set storage set, bytes32 value) internal view returns (bool) {
    return _contains(set._inner, value);
  }

  /**
   * @dev Returns the number of values in the set. O(1).
     */
  function length(Bytes32Set storage set) internal view returns (uint256) {
    return _length(set._inner);
  }

  /**
   * @dev Returns the value stored at position `index` in the set. O(1).
     *
     * Note that there are no guarantees on the ordering of values inside the
     * array, and it may change when more values are added or removed.
     *
     * Requirements:
     *
     * - `index` must be strictly less than {length}.
     */
  function at(Bytes32Set storage set, uint256 index) internal view returns (bytes32) {
    return _at(set._inner, index);
  }

  /**
   * @dev Return the entire set in an array
     *
     * WARNING: This operation will copy the entire storage to memory, which can be quite expensive. This is designed
     * to mostly be used by view accessors that are queried without any gas fees. Developers should keep in mind that
     * this function has an unbounded cost, and using it as part of a state-changing function may render the function
     * uncallable if the set grows to a point where copying to memory consumes too much gas to fit in a block.
     */
  function values(Bytes32Set storage set) internal view returns (bytes32[] memory) {
    bytes32[] memory store = _values(set._inner);
    bytes32[] memory result;

    /// @solidity memory-safe-assembly
    assembly {
      result := store
    }

    return result;
  }

  // AddressSet

  struct AddressSet {
    Set _inner;
  }

  /**
   * @dev Add a value to a set. O(1).
     *
     * Returns true if the value was added to the set, that is if it was not
     * already present.
     */
  function add(AddressSet storage set, address value) internal returns (bool) {
    return _add(set._inner, bytes32(uint256(uint160(value))));
  }

  /**
   * @dev Removes a value from a set. O(1).
     *
     * Returns true if the value was removed from the set, that is if it was
     * present.
     */
  function remove(AddressSet storage set, address value) internal returns (bool) {
    return _remove(set._inner, bytes32(uint256(uint160(value))));
  }

  /**
   * @dev Returns true if the value is in the set. O(1).
     */
  function contains(AddressSet storage set, address value) internal view returns (bool) {
    return _contains(set._inner, bytes32(uint256(uint160(value))));
  }

  /**
   * @dev Returns the number of values in the set. O(1).
     */
  function length(AddressSet storage set) internal view returns (uint256) {
    return _length(set._inner);
  }

  /**
   * @dev Returns the value stored at position `index` in the set. O(1).
     *
     * Note that there are no guarantees on the ordering of values inside the
     * array, and it may change when more values are added or removed.
     *
     * Requirements:
     *
     * - `index` must be strictly less than {length}.
     */
  function at(AddressSet storage set, uint256 index) internal view returns (address) {
    return address(uint160(uint256(_at(set._inner, index))));
  }

  /**
   * @dev Return the entire set in an array
     *
     * WARNING: This operation will copy the entire storage to memory, which can be quite expensive. This is designed
     * to mostly be used by view accessors that are queried without any gas fees. Developers should keep in mind that
     * this function has an unbounded cost, and using it as part of a state-changing function may render the function
     * uncallable if the set grows to a point where copying to memory consumes too much gas to fit in a block.
     */
  function values(AddressSet storage set) internal view returns (address[] memory) {
    bytes32[] memory store = _values(set._inner);
    address[] memory result;

    /// @solidity memory-safe-assembly
    assembly {
      result := store
    }

    return result;
  }

  // UintSet

  struct UintSet {
    Set _inner;
  }

  /**
   * @dev Add a value to a set. O(1).
     *
     * Returns true if the value was added to the set, that is if it was not
     * already present.
     */
  function add(UintSet storage set, uint256 value) internal returns (bool) {
    return _add(set._inner, bytes32(value));
  }

  /**
   * @dev Removes a value from a set. O(1).
     *
     * Returns true if the value was removed from the set, that is if it was
     * present.
     */
  function remove(UintSet storage set, uint256 value) internal returns (bool) {
    return _remove(set._inner, bytes32(value));
  }

  /**
   * @dev Returns true if the value is in the set. O(1).
     */
  function contains(UintSet storage set, uint256 value) internal view returns (bool) {
    return _contains(set._inner, bytes32(value));
  }

  /**
   * @dev Returns the number of values in the set. O(1).
     */
  function length(UintSet storage set) internal view returns (uint256) {
    return _length(set._inner);
  }

  /**
   * @dev Returns the value stored at position `index` in the set. O(1).
     *
     * Note that there are no guarantees on the ordering of values inside the
     * array, and it may change when more values are added or removed.
     *
     * Requirements:
     *
     * - `index` must be strictly less than {length}.
     */
  function at(UintSet storage set, uint256 index) internal view returns (uint256) {
    return uint256(_at(set._inner, index));
  }

  /**
   * @dev Return the entire set in an array
     *
     * WARNING: This operation will copy the entire storage to memory, which can be quite expensive. This is designed
     * to mostly be used by view accessors that are queried without any gas fees. Developers should keep in mind that
     * this function has an unbounded cost, and using it as part of a state-changing function may render the function
     * uncallable if the set grows to a point where copying to memory consumes too much gas to fit in a block.
     */
  function values(UintSet storage set) internal view returns (uint256[] memory) {
    bytes32[] memory store = _values(set._inner);
    uint256[] memory result;

    /// @solidity memory-safe-assembly
    assembly {
      result := store
    }

    return result;
  }
}

// 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 success flag (no overflow).
     */
  function tryAdd(uint256 a, uint256 b) internal pure returns (bool success, uint256 result) {
    unchecked {
      uint256 c = a + b;
      if (c < a) return (false, 0);
      return (true, c);
    }
  }

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

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

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

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

  /**
   * @dev 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;
    }

    // The following calculation ensures accurate ceiling division without overflow.
    // Since a is non-zero, (a - 1) / b will not overflow.
    // The largest possible result occurs when (a - 1) / b is type(uint256).max,
    // but the largest value we can obtain is type(uint256).max - 1, which happens
    // when a = type(uint256).max and b = 1.
    unchecked {
      return 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
pragma solidity ^0.8.4;

/// @notice Library for generating pseudorandom numbers.
/// @author Solady (https://github.com/vectorized/solady/blob/main/src/utils/LibPRNG.sol)
/// @author LazyShuffler based on NextShuffler by aschlosberg (divergencearran)
/// (https://github.com/divergencetech/ethier/blob/main/contracts/random/NextShuffler.sol)
library LibPRNG {
    /*´:°•.°+.*•´.*:˚.°*.˚•´.°:°•.°•.*•´.*:˚.°*.˚•´.°:°•.°+.*•´.*:*/
    /*                       CUSTOM ERRORS                        */
    /*.•°:°.´+˚.*°.˚:*.´•*.+°.•°:´*.´•*.•°.•°:°.´:•˚°.*°.˚:*.´+°.•*/

    /// @dev The initial length must be greater than zero and less than `2**32 - 1`.
    error InvalidInitialLazyShufflerLength();

    /// @dev The new length must not be less than the current length.
    error InvalidNewLazyShufflerLength();

    /// @dev The lazy shuffler has not been initialized.
    error LazyShufflerNotInitialized();

    /// @dev Cannot double initialize the lazy shuffler.
    error LazyShufflerAlreadyInitialized();

    /// @dev The lazy shuffle has finished.
    error LazyShuffleFinished();

    /// @dev The queried index is out of bounds.
    error LazyShufflerGetOutOfBounds();

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

    /// @dev The scalar of ETH and most ERC20s.
    uint256 internal constant WAD = 1e18;

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

    /// @dev A pseudorandom number state in memory.
    struct PRNG {
        uint256 state;
    }

    /// @dev A lazy Fisher-Yates shuffler for a range `[0..n)` in storage.
    struct LazyShuffler {
        // Bits Layout:
        // - [0..31]    `numShuffled`
        // - [32..223]  `permutationSlot`
        // - [224..255] `length`
        uint256 _state;
    }

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

    /// @dev Seeds the `prng` with `state`.
    function seed(PRNG memory prng, uint256 state) internal pure {
        /// @solidity memory-safe-assembly
        assembly {
            mstore(prng, state)
        }
    }

    /// @dev Returns the next pseudorandom uint256.
    /// All bits of the returned uint256 pass the NIST Statistical Test Suite.
    function next(PRNG memory prng) internal pure returns (uint256 result) {
        // We simply use `keccak256` for a great balance between
        // runtime gas costs, bytecode size, and statistical properties.
        //
        // A high-quality LCG with a 32-byte state
        // is only about 30% more gas efficient during runtime,
        // but requires a 32-byte multiplier, which can cause bytecode bloat
        // when this function is inlined.
        //
        // Using this method is about 2x more efficient than
        // `nextRandomness = uint256(keccak256(abi.encode(randomness)))`.
        /// @solidity memory-safe-assembly
        assembly {
            result := keccak256(prng, 0x20)
            mstore(prng, result)
        }
    }

    /// @dev Returns a pseudorandom uint256, uniformly distributed
    /// between 0 (inclusive) and `upper` (exclusive).
    /// If your modulus is big, this method is recommended
    /// for uniform sampling to avoid modulo bias.
    /// For uniform sampling across all uint256 values,
    /// or for small enough moduli such that the bias is neligible,
    /// use {next} instead.
    function uniform(PRNG memory prng, uint256 upper) internal pure returns (uint256 result) {
        /// @solidity memory-safe-assembly
        assembly {
            for {} 1 {} {
                result := keccak256(prng, 0x20)
                mstore(prng, result)
                if iszero(lt(result, mod(sub(0, upper), upper))) { break }
            }
            result := mod(result, upper)
        }
    }

    /// @dev Shuffles the array in-place with Fisher-Yates shuffle.
    function shuffle(PRNG memory prng, uint256[] memory a) internal pure {
        /// @solidity memory-safe-assembly
        assembly {
            let n := mload(a)
            let w := not(0)
            let mask := shr(128, w)
            if n {
                for { a := add(a, 0x20) } 1 {} {
                    // We can just directly use `keccak256`, cuz
                    // the other approaches don't save much.
                    let r := keccak256(prng, 0x20)
                    mstore(prng, r)

                    // Note that there will be a very tiny modulo bias
                    // if the length of the array is not a power of 2.
                    // For all practical purposes, it is negligible
                    // and will not be a fairness or security concern.
                    {
                        let j := add(a, shl(5, mod(shr(128, r), n)))
                        n := add(n, w) // `sub(n, 1)`.
                        if iszero(n) { break }

                        let i := add(a, shl(5, n))
                        let t := mload(i)
                        mstore(i, mload(j))
                        mstore(j, t)
                    }

                    {
                        let j := add(a, shl(5, mod(and(r, mask), n)))
                        n := add(n, w) // `sub(n, 1)`.
                        if iszero(n) { break }

                        let i := add(a, shl(5, n))
                        let t := mload(i)
                        mstore(i, mload(j))
                        mstore(j, t)
                    }
                }
            }
        }
    }

    /// @dev Shuffles the bytes in-place with Fisher-Yates shuffle.
    function shuffle(PRNG memory prng, bytes memory a) internal pure {
        /// @solidity memory-safe-assembly
        assembly {
            let n := mload(a)
            let w := not(0)
            let mask := shr(128, w)
            if n {
                let b := add(a, 0x01)
                for { a := add(a, 0x20) } 1 {} {
                    // We can just directly use `keccak256`, cuz
                    // the other approaches don't save much.
                    let r := keccak256(prng, 0x20)
                    mstore(prng, r)

                    // Note that there will be a very tiny modulo bias
                    // if the length of the array is not a power of 2.
                    // For all practical purposes, it is negligible
                    // and will not be a fairness or security concern.
                    {
                        let o := mod(shr(128, r), n)
                        n := add(n, w) // `sub(n, 1)`.
                        if iszero(n) { break }

                        let t := mload(add(b, n))
                        mstore8(add(a, n), mload(add(b, o)))
                        mstore8(add(a, o), t)
                    }

                    {
                        let o := mod(and(r, mask), n)
                        n := add(n, w) // `sub(n, 1)`.
                        if iszero(n) { break }

                        let t := mload(add(b, n))
                        mstore8(add(a, n), mload(add(b, o)))
                        mstore8(add(a, o), t)
                    }
                }
            }
        }
    }

    /// @dev Returns a sample from the standard normal distribution denominated in `WAD`.
    function standardNormalWad(PRNG memory prng) internal pure returns (int256 result) {
        /// @solidity memory-safe-assembly
        assembly {
            // Technically, this is the Irwin-Hall distribution with 20 samples.
            // The chance of drawing a sample outside 10 σ from the standard normal distribution
            // is ≈ 0.000000000000000000000015, which is insignificant for most practical purposes.
            // Passes the Kolmogorov-Smirnov test for 200k samples. Uses about 322 gas.
            result := keccak256(prng, 0x20)
            mstore(prng, result)
            let n := 0xffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff43 // Prime.
            let a := 0x100000000000000000000000000000051 // Prime and a primitive root of `n`.
            let m := 0x1fffffffffffffff1fffffffffffffff1fffffffffffffff1fffffffffffffff
            let s := 0x1000000000000000100000000000000010000000000000001
            let r1 := mulmod(result, a, n)
            let r2 := mulmod(r1, a, n)
            let r3 := mulmod(r2, a, n)
            // forgefmt: disable-next-item
            result := sub(sar(96, mul(26614938895861601847173011183,
                add(add(shr(192, mul(s, add(and(m, result), and(m, r1)))),
                shr(192, mul(s, add(and(m, r2), and(m, r3))))),
                shr(192, mul(s, and(m, mulmod(r3, a, n))))))), 7745966692414833770)
        }
    }

    /// @dev Returns a sample from the unit exponential distribution denominated in `WAD`.
    function exponentialWad(PRNG memory prng) internal pure returns (uint256 result) {
        /// @solidity memory-safe-assembly
        assembly {
            // Passes the Kolmogorov-Smirnov test for 200k samples.
            // Gas usage varies, starting from about 172+ gas.
            let r := keccak256(prng, 0x20)
            mstore(prng, r)
            let p := shl(129, r)
            let w := shl(1, r)
            if iszero(gt(w, p)) {
                let n := 0xffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff43 // Prime.
                let a := 0x100000000000000000000000000000051 // Prime and a primitive root of `n`.
                for {} 1 {} {
                    r := mulmod(r, a, n)
                    if iszero(lt(shl(129, r), w)) {
                        r := mulmod(r, a, n)
                        result := add(1000000000000000000, result)
                        w := shl(1, r)
                        p := shl(129, r)
                        if iszero(lt(w, p)) { break }
                        continue
                    }
                    w := shl(1, r)
                    if iszero(lt(w, shl(129, r))) { break }
                }
            }
            result := add(div(p, shl(129, 170141183460469231732)), result)
        }
    }

    /*´:°•.°+.*•´.*:˚.°*.˚•´.°:°•.°•.*•´.*:˚.°*.˚•´.°:°•.°+.*•´.*:*/
    /*       STORAGE-BASED RANGE LAZY SHUFFLING OPERATIONS        */
    /*.•°:°.´+˚.*°.˚:*.´•*.+°.•°:´*.´•*.•°.•°:°.´:•˚°.*°.˚:*.´+°.•*/

    /// @dev Initializes the state for lazy-shuffling the range `[0..n)`.
    /// Reverts if `n == 0 || n >= 2**32 - 1`.
    /// Reverts if `$` has already been initialized.
    /// If you need to reduce the length after initialization, just use a fresh new `$`.
    function initialize(LazyShuffler storage $, uint256 n) internal {
        /// @solidity memory-safe-assembly
        assembly {
            if iszero(lt(sub(n, 1), 0xfffffffe)) {
                mstore(0x00, 0x83b53941) // `InvalidInitialLazyShufflerLength()`.
                revert(0x1c, 0x04)
            }
            if sload($.slot) {
                mstore(0x00, 0x0c9f11f2) // `LazyShufflerAlreadyInitialized()`.
                revert(0x1c, 0x04)
            }
            mstore(0x00, $.slot)
            sstore($.slot, or(shl(224, n), shl(32, shr(64, keccak256(0x00, 0x20)))))
        }
    }

    /// @dev Increases the length of `$`.
    /// Reverts if `$` has not been initialized.
    function grow(LazyShuffler storage $, uint256 n) internal {
        /// @solidity memory-safe-assembly
        assembly {
            let state := sload($.slot) // The packed value at `$`.
            // If the new length is smaller than the old length, revert.
            if lt(n, shr(224, state)) {
                mstore(0x00, 0xbed37c6e) // `InvalidNewLazyShufflerLength()`.
                revert(0x1c, 0x04)
            }
            if iszero(state) {
                mstore(0x00, 0x1ead2566) // `LazyShufflerNotInitialized()`.
                revert(0x1c, 0x04)
            }
            sstore($.slot, or(shl(224, n), shr(32, shl(32, state))))
        }
    }

    /// @dev Restarts the shuffler by setting `numShuffled` to zero,
    /// such that all elements can be drawn again.
    /// Restarting does NOT clear the internal permutation, nor changes the length.
    /// Even with the same sequence of randomness, reshuffling can yield different results.
    function restart(LazyShuffler storage $) internal {
        /// @solidity memory-safe-assembly
        assembly {
            let state := sload($.slot)
            if iszero(state) {
                mstore(0x00, 0x1ead2566) // `LazyShufflerNotInitialized()`.
                revert(0x1c, 0x04)
            }
            sstore($.slot, shl(32, shr(32, state)))
        }
    }

    /// @dev Returns the number of elements that have been shuffled.
    function numShuffled(LazyShuffler storage $) internal view returns (uint256 result) {
        /// @solidity memory-safe-assembly
        assembly {
            result := and(0xffffffff, sload($.slot))
        }
    }

    /// @dev Returns the length of `$`.
    /// Returns zero if `$` is not initialized, else a non-zero value less than `2**32 - 1`.
    function length(LazyShuffler storage $) internal view returns (uint256 result) {
        /// @solidity memory-safe-assembly
        assembly {
            result := shr(224, sload($.slot))
        }
    }

    /// @dev Returns if `$` has been initialized.
    function initialized(LazyShuffler storage $) internal view returns (bool result) {
        /// @solidity memory-safe-assembly
        assembly {
            result := iszero(iszero(sload($.slot)))
        }
    }

    /// @dev Returns if there are any more elements left to shuffle.
    /// Reverts if `$` is not initialized.
    function finished(LazyShuffler storage $) internal view returns (bool result) {
        /// @solidity memory-safe-assembly
        assembly {
            let state := sload($.slot) // The packed value at `$`.
            if iszero(state) {
                mstore(0x00, 0x1ead2566) // `LazyShufflerNotInitialized()`.
                revert(0x1c, 0x04)
            }
            result := eq(shr(224, state), and(0xffffffff, state))
        }
    }

    /// @dev Returns the current value stored at `index`, accounting for all historical shuffling.
    /// Reverts if `index` is greater than or equal to the `length` of `$`.
    function get(LazyShuffler storage $, uint256 index) internal view returns (uint256 result) {
        /// @solidity memory-safe-assembly
        assembly {
            let state := sload($.slot) // The packed value at `$`.
            let n := shr(224, state) // Length of `$`.
            if iszero(lt(index, n)) {
                mstore(0x00, 0x61367cc4) // `LazyShufflerGetOutOfBounds()`.
                revert(0x1c, 0x04)
            }
            let u32 := gt(n, 0xfffe)
            let s := add(shr(sub(4, u32), index), shr(64, shl(32, state))) // Bucket slot.
            let o := shl(add(4, u32), and(index, shr(u32, 15))) // Bucket slot offset (bits).
            let m := sub(shl(shl(u32, 16), 1), 1) // Value mask.
            result := and(m, shr(o, sload(s)))
            result := xor(index, mul(xor(index, sub(result, 1)), iszero(iszero(result))))
        }
    }

    /// @dev Does a single Fisher-Yates shuffle step, increments the `numShuffled` in `$`,
    /// and returns the next value in the shuffled range.
    /// `randomness` can be taken from a good-enough source, or a higher quality source like VRF.
    /// Reverts if there are no more values to shuffle, which includes the case if `$` is not initialized.
    function next(LazyShuffler storage $, uint256 randomness) internal returns (uint256 chosen) {
        /// @solidity memory-safe-assembly
        assembly {
            function _get(u32_, state_, i_) -> _value {
                let s_ := add(shr(sub(4, u32_), i_), shr(64, shl(32, state_))) // Bucket slot.
                let o_ := shl(add(4, u32_), and(i_, shr(u32_, 15))) // Bucket slot offset (bits).
                let m_ := sub(shl(shl(u32_, 16), 1), 1) // Value mask.
                _value := and(m_, shr(o_, sload(s_)))
                _value := xor(i_, mul(xor(i_, sub(_value, 1)), iszero(iszero(_value))))
            }
            function _set(u32_, state_, i_, value_) {
                let s_ := add(shr(sub(4, u32_), i_), shr(64, shl(32, state_))) // Bucket slot.
                let o_ := shl(add(4, u32_), and(i_, shr(u32_, 15))) // Bucket slot offset (bits).
                let m_ := sub(shl(shl(u32_, 16), 1), 1) // Value mask.
                let v_ := sload(s_) // Bucket slot value.
                value_ := mul(iszero(eq(i_, value_)), add(value_, 1))
                sstore(s_, xor(v_, shl(o_, and(m_, xor(shr(o_, v_), value_)))))
            }
            let state := sload($.slot) // The packed value at `$`.
            let shuffled := and(0xffffffff, state) // Number of elements shuffled.
            let n := shr(224, state) // Length of `$`.
            let remainder := sub(n, shuffled) // Number of elements left to shuffle.
            if iszero(remainder) {
                mstore(0x00, 0x51065f79) // `LazyShuffleFinished()`.
                revert(0x1c, 0x04)
            }
            mstore(0x00, randomness) // (Re)hash the randomness so that we don't
            mstore(0x20, shuffled) // need to expect guarantees on its distribution.
            let index := add(mod(keccak256(0x00, 0x40), remainder), shuffled)
            chosen := _get(gt(n, 0xfffe), state, index)
            _set(gt(n, 0xfffe), state, index, _get(gt(n, 0xfffe), state, shuffled))
            _set(gt(n, 0xfffe), state, shuffled, chosen)
            sstore($.slot, add(1, state)) // Increment the `numShuffled` by 1, and store it.
        }
    }
}

{
  "evmVersion": "istanbul",
  "optimizer": {
    "enabled": true,
    "runs": 50
  },
  "outputSelection": {
    "*": {
      "*": [
        "evm.bytecode",
        "evm.deployedBytecode",
        "devdoc",
        "userdoc",
        "metadata",
        "abi"
      ]
    }
  },
  "metadata": {
    "useLiteralContent": true
  },
  "libraries": {}
}

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