// File: contracts/strategy/eth/EthPrimaryMarket.sol



// SPDX-License-Identifier: GPL-3.0-or-later
pragma solidity >=0.6.10 <0.8.0;
pragma experimental ABIEncoderV2;

import "@openzeppelin/contracts/math/Math.sol";
import "@openzeppelin/contracts/math/SafeMath.sol";
import "@openzeppelin/contracts/token/ERC20/IERC20.sol";
import "@openzeppelin/contracts/token/ERC20/SafeERC20.sol";
import "@openzeppelin/contracts/utils/ReentrancyGuard.sol";
import "@openzeppelin/contracts/access/Ownable.sol";
import "@openzeppelin/contracts/token/ERC721/ERC721.sol";

import "../../utils/SafeDecimalMath.sol";

import "../../interfaces/IFundV4.sol";
import "../../interfaces/IFundForPrimaryMarketV4.sol";
import "../../interfaces/ITrancheIndexV2.sol";
import "../../interfaces/IWrappedERC20.sol";

interface INonfungibleRedemptionDescriptor {
    function tokenURI(
        uint256 tokenId,
        uint256 amountQ,
        uint256 amountUnderlying,
        uint256 seed
    ) external view returns (string memory);

    function generateSeed(uint256 tokenId, uint256 amountQ) external view returns (uint256);
}

/// @title EIP-721 Metadata Update Extension
interface IERC4906 is IERC165, IERC721 {
    /// @dev This event emits when the metadata of a token is changed.
    ///      So that the third-party platforms such as NFT market could
    ///      timely update the images and related attributes of the NFT.
    event MetadataUpdate(uint256 _tokenId);

    /// @dev This event emits when the metadata of a range of tokens is changed.
    ///      So that the third-party platforms such as NFT market could
    ///      timely update the images and related attributes of the NFTs.
    event BatchMetadataUpdate(uint256 _fromTokenId, uint256 _toTokenId);
}

contract EthPrimaryMarket is ReentrancyGuard, ITrancheIndexV2, Ownable, ERC721, IERC4906 {
    event Created(address indexed account, uint256 underlying, uint256 outQ);
    event Redeemed(address indexed account, uint256 inQ, uint256 underlying, uint256 feeQ);
    event Split(address indexed account, uint256 inQ, uint256 outB, uint256 outR);
    event Merged(
        address indexed account,
        uint256 outQ,
        uint256 inB,
        uint256 inR,
        uint256 feeUnderlying
    );
    event RedemptionQueued(address indexed account, uint256 index, uint256 underlying);
    event RedemptionFinalized(uint256 nextFinalizationIndex, uint256 inQ, uint256 underlying);
    event RedemptionPopped(uint256 count, uint256 newHead, uint256 requiredUnderlying);
    event RedemptionClaimed(address indexed account, uint256 index, uint256 underlying);
    event FundCapUpdated(uint256 newCap);
    event MergeFeeRateUpdated(uint256 newMergeFeeRate);
    event RedemptionBoundsUpdated(uint256 newLowerBound, uint256 newUpperBound);

    using Math for uint256;
    using SafeMath for uint256;
    using SafeDecimalMath for uint256;
    using SafeERC20 for IERC20;

    struct QueuedRedemption {
        uint256 amountQ;
        uint256 previousPrefixSum;
        uint256 seed;
    }

    struct RedemptionRate {
        uint256 nextIndex;
        // ETH/Queen rate is with 10^27 precision.
        uint256 underlyingPerQ;
    }

    uint256 private constant MAX_MERGE_FEE_RATE = 0.01e18;
    uint256 public constant redemptionFeeRate = 0;

    address public immutable fund;
    IERC20 private immutable _tokenUnderlying;
    INonfungibleRedemptionDescriptor private immutable _descriptor;

    uint256 public mergeFeeRate;

    /// @notice The upper limit of underlying that the fund can hold. This contract rejects
    ///         creations that may break this limit.
    uint256 public fundCap;

    /// @notice Queue of redemptions that cannot be claimed yet. Key is a sequential index
    ///         starting from zero. Value is a tuple of redeemed QUEEN and prefix sum before
    ///         this entry.
    mapping(uint256 => QueuedRedemption) public queuedRedemptions;

    /// @notice Total underlying tokens of claimable queued redemptions.
    uint256 public claimableUnderlying;

    /// @notice Index of the redemption queue head. All redemptions with index smaller than
    ///         this value can be claimed now.
    uint256 public redemptionQueueHead;

    /// @notice Index of the redemption following the last entry of the queue. The next queued
    ///         redemption will be written at this index.
    uint256 public redemptionQueueTail;

    /// @notice Rates of underlying tokens per redeemed QUEEN. Key is a sequential index starting
    ///         from zero. Each value corresponds to a continuous part of the redemption queue that
    ///         was finalized in a single transaction.
    mapping(uint256 => RedemptionRate) public redemptionRates;

    /// @notice Total number of redemption rates.
    uint256 public redemptionRateSize;

    /// @notice Minimal amount to redeem by a single request
    uint256 public minRedemptionBound;

    /// @notice Maximum amount to redeem by a single request
    uint256 public maxRedemptionBound;

    constructor(
        address fund_,
        uint256 mergeFeeRate_,
        uint256 fundCap_,
        string memory name_,
        string memory symbol_,
        address descriptor_,
        uint256 minRedemptionBound_,
        uint256 maxRedemptionBound_
    ) public Ownable() ERC721(name_, symbol_) {
        fund = fund_;
        _tokenUnderlying = IERC20(IFundV4(fund_).tokenUnderlying());
        _updateMergeFeeRate(mergeFeeRate_);
        _updateFundCap(fundCap_);
        _descriptor = INonfungibleRedemptionDescriptor(descriptor_);
        _updateRedemptionBounds(minRedemptionBound_, maxRedemptionBound_);
        _registerInterface(bytes4(0x49064906));
    }

    /// @notice Calculate the result of a creation.
    /// @param underlying Underlying amount spent for the creation
    /// @return outQ Created QUEEN amount
    function getCreation(uint256 underlying) public view returns (uint256 outQ) {
        uint256 fundUnderlying = IFundV4(fund).getTotalUnderlying();
        uint256 fundEquivalentTotalQ = IFundV4(fund).getEquivalentTotalQ();
        require(fundUnderlying.add(underlying) <= fundCap, "Exceed fund cap");
        if (fundEquivalentTotalQ == 0) {
            outQ = underlying.mul(IFundV4(fund).underlyingDecimalMultiplier());
            uint256 splitRatio = IFundV4(fund).splitRatio();
            require(splitRatio != 0, "Fund is not initialized");
            uint256 settledDay = IFundV4(fund).currentDay() - 1 days;
            uint256 underlyingPrice = IFundV4(fund).twapOracle().getTwap(settledDay);
            (uint256 navB, uint256 navR) = IFundV4(fund).historicalNavs(settledDay);
            outQ = outQ.mul(underlyingPrice).div(splitRatio).divideDecimal(navB.add(navR));
        } else {
            require(
                fundUnderlying != 0,
                "Cannot create QUEEN for fund with shares but no underlying"
            );
            outQ = underlying.mul(fundEquivalentTotalQ).div(fundUnderlying);
        }
    }

    /// @notice Calculate the amount of underlying tokens to create at least the given QUEEN amount.
    ///         This only works with non-empty fund for simplicity.
    /// @param minOutQ Minimum received QUEEN amount
    /// @return underlying Underlying amount that should be used for creation
    function getCreationForQ(uint256 minOutQ) external view returns (uint256 underlying) {
        // Assume:
        //   minOutQ * fundUnderlying = a * fundEquivalentTotalQ - b
        // where a and b are integers and 0 <= b < fundEquivalentTotalQ
        // Then
        //   underlying = a
        //   getCreation(underlying)
        //     = floor(a * fundEquivalentTotalQ / fundUnderlying)
        //    >= floor((a * fundEquivalentTotalQ - b) / fundUnderlying)
        //     = minOutQ
        //   getCreation(underlying - 1)
        //     = floor((a * fundEquivalentTotalQ - fundEquivalentTotalQ) / fundUnderlying)
        //     < (a * fundEquivalentTotalQ - b) / fundUnderlying
        //     = minOutQ
        uint256 fundUnderlying = IFundV4(fund).getTotalUnderlying();
        uint256 fundEquivalentTotalQ = IFundV4(fund).getEquivalentTotalQ();
        require(fundEquivalentTotalQ > 0, "Cannot calculate creation for empty fund");
        return minOutQ.mul(fundUnderlying).add(fundEquivalentTotalQ - 1).div(fundEquivalentTotalQ);
    }

    function _getRedemption(uint256 inQ) private view returns (uint256 underlying) {
        uint256 fundUnderlying = IFundV4(fund).getTotalUnderlying();
        uint256 fundEquivalentTotalQ = IFundV4(fund).getEquivalentTotalQ();
        underlying = inQ.mul(fundUnderlying).div(fundEquivalentTotalQ);
    }

    /// @notice Calculate the result of a redemption.
    /// @param inQ QUEEN amount spent for the redemption
    /// @return underlying Redeemed underlying amount
    /// @return feeQ QUEEN amount charged as redemption fee
    function getRedemption(uint256 inQ) public view returns (uint256 underlying, uint256 feeQ) {
        underlying = _getRedemption(inQ);
        feeQ = 0;
    }

    /// @notice Calculate the amount of QUEEN that can be redeemed for at least the given amount
    ///         of underlying tokens.
    /// @dev The return value may not be the minimum solution due to rounding errors.
    /// @param minUnderlying Minimum received underlying amount
    /// @return inQ QUEEN amount that should be redeemed
    function getRedemptionForUnderlying(uint256 minUnderlying) external view returns (uint256 inQ) {
        // Assume:
        //   minUnderlying * fundEquivalentTotalQ = a * fundUnderlying - b
        //   a * 1e18 = c * (1e18 - redemptionFeeRate) + d
        // where
        //   a, b, c, d are integers
        //   0 <= b < fundUnderlying
        //   0 <= d < 1e18 - redemeptionFeeRate
        // Then
        //   inQAfterFee = a
        //   inQ = c
        //   underlying
        //     = floor((c - floor(c * redemptionFeeRate / 1e18)) * fundUnderlying / fundEquivalentTotalQ)
        //     = floor(ceil(c * (1e18 - redemptionFeeRate) / 1e18) * fundUnderlying / fundEquivalentTotalQ)
        //     = floor(((c * (1e18 - redemptionFeeRate) + d) / 1e18) * fundUnderlying / fundEquivalentTotalQ)
        //     = floor(a * fundUnderlying / fundEquivalentTotalQ)
        //     => floor((a * fundUnderlying - b) / fundEquivalentTotalQ)
        //     = minUnderlying
        uint256 fundUnderlying = IFundV4(fund).getTotalUnderlying();
        uint256 fundEquivalentTotalQ = IFundV4(fund).getEquivalentTotalQ();
        uint256 inQAfterFee =
            minUnderlying.mul(fundEquivalentTotalQ).add(fundUnderlying - 1).div(fundUnderlying);
        return inQAfterFee.divideDecimal(1e18 - redemptionFeeRate);
    }

    /// @notice Calculate the result of a split.
    /// @param inQ QUEEN amount to be split
    /// @return outB Received BISHOP amount, which is also received ROOK amount
    function getSplit(uint256 inQ) public view returns (uint256 outB) {
        return inQ.multiplyDecimal(IFundV4(fund).splitRatio());
    }

    /// @notice Calculate the amount of QUEEN that can be split into at least the given amount of
    ///         BISHOP and ROOK.
    /// @param minOutB Received BISHOP amount, which is also received ROOK amount
    /// @return inQ QUEEN amount that should be split
    function getSplitForB(uint256 minOutB) external view returns (uint256 inQ) {
        uint256 splitRatio = IFundV4(fund).splitRatio();
        return minOutB.mul(1e18).add(splitRatio.sub(1)).div(splitRatio);
    }

    /// @notice Calculate the result of a merge.
    /// @param inB Spent BISHOP amount, which is also spent ROOK amount
    /// @return outQ Received QUEEN amount
    /// @return feeQ QUEEN amount charged as merge fee
    function getMerge(uint256 inB) public view returns (uint256 outQ, uint256 feeQ) {
        uint256 outQBeforeFee = inB.divideDecimal(IFundV4(fund).splitRatio());
        feeQ = outQBeforeFee.multiplyDecimal(mergeFeeRate);
        outQ = outQBeforeFee.sub(feeQ);
    }

    /// @notice Calculate the amount of BISHOP and ROOK that can be merged into at least
    ///      the given amount of QUEEN.
    /// @dev The return value may not be the minimum solution due to rounding errors.
    /// @param minOutQ Minimum received QUEEN amount
    /// @return inB BISHOP amount that should be merged, which is also spent ROOK amount
    function getMergeForQ(uint256 minOutQ) external view returns (uint256 inB) {
        // Assume:
        //   minOutQ * 1e18 = a * (1e18 - mergeFeeRate) + b
        //   c = ceil(a * splitRatio / 1e18)
        // where a and b are integers and 0 <= b < 1e18 - mergeFeeRate
        // Then
        //   outQBeforeFee = a
        //   inB = c
        //   getMerge(inB).outQ
        //     = c * 1e18 / splitRatio - floor(c * 1e18 / splitRatio * mergeFeeRate / 1e18)
        //     = ceil(c * 1e18 / splitRatio * (1e18 - mergeFeeRate) / 1e18)
        //    >= ceil(a * (1e18 - mergeFeeRate) / 1e18)
        //     = (a * (1e18 - mergeFeeRate) + b) / 1e18         // because b < 1e18
        //     = minOutQ
        uint256 outQBeforeFee = minOutQ.divideDecimal(1e18 - mergeFeeRate);
        inB = outQBeforeFee.mul(IFundV4(fund).splitRatio()).add(1e18 - 1).div(1e18);
    }

    /// @notice Return index of the first queued redemption that cannot be claimed now.
    ///         Users can use this function to determine which indices can be passed to
    ///         `claimRedemptions()`.
    /// @return Index of the first redemption that cannot be claimed now
    function getNewRedemptionQueueHead() public view returns (uint256) {
        uint256 available = _tokenUnderlying.balanceOf(fund);
        uint256 l = redemptionQueueHead;
        uint256 startPrefixSum = queuedRedemptions[l].previousPrefixSum;
        uint256 rateSize = redemptionRateSize;
        uint256 rateIndex = getRedemptionRateIndex(l);
        uint256 r = l;
        while (rateIndex < rateSize) {
            r = redemptionRates[rateIndex].nextIndex;
            uint256 endPrefixSum = queuedRedemptions[r].previousPrefixSum;
            uint256 underlying =
                (endPrefixSum - startPrefixSum).multiplyDecimalPrecise(
                    redemptionRates[rateIndex].underlyingPerQ
                );
            if (available < underlying) {
                break;
            }
            available -= underlying;
            l = r;
            startPrefixSum = endPrefixSum;
            rateIndex += 1;
        }
        if (rateIndex >= rateSize) {
            return r; // All finalized redemptions can be claimed
        }
        // Iteration count is bounded by log2(tail - head), which is at most 256.
        uint256 underlyingPerQ = redemptionRates[rateIndex].underlyingPerQ;
        while (l + 1 < r) {
            uint256 m = (l + r) / 2;
            uint256 underlying =
                (queuedRedemptions[m].previousPrefixSum - startPrefixSum).multiplyDecimalPrecise(
                    underlyingPerQ
                );
            if (underlying <= available) {
                l = m;
            } else {
                r = m;
            }
        }
        return l;
    }

    function getRedemptionRateIndexOfHead() external view returns (uint256) {
        return getRedemptionRateIndex(redemptionQueueHead);
    }

    /// @notice Search the redemption rate index of a queued redemption.
    /// @return Index of the redemption rate that covers the given queued redemption, or index
    ///         beyond the last redemption rate if this redemption is not finalized yet.
    function getRedemptionRateIndex(uint256 index) public view returns (uint256) {
        uint256 l = 0;
        uint256 r = redemptionRateSize;
        if (r == 0) return 0;
        // If the index is greater than the redemption rate size, it is not yet finalized.
        // Return the index of the next potential finalization.
        if (redemptionRates[r - 1].nextIndex <= index) {
            return r;
        }
        while (l + 1 < r) {
            uint256 m = (l + r) / 2;
            if (redemptionRates[m - 1].nextIndex <= index) {
                l = m;
            } else {
                r = m;
            }
        }
        return l;
    }

    /// @notice Return claimable underlying tokens of a queued redemption, or zero if
    ///         the redemption is not finalized yet.
    function getRedemptionUnderlying(uint256 index) public view returns (uint256) {
        uint256 rateIndex = getRedemptionRateIndex(index);
        return
            rateIndex < redemptionRateSize
                ? queuedRedemptions[index].amountQ.multiplyDecimalPrecise(
                    redemptionRates[rateIndex].underlyingPerQ
                )
                : 0;
    }

    /// @notice Get queued redemptions of an account. This function returns all information
    ///         required to claim underlying tokens from these redemptions.
    /// @param account Owner of the redemptions
    /// @return indices Indices of found redemptions. Note that there are no guarantees on the
    ///                 ordering.
    /// @return rateIndices Redemption rate indices of found redemptions
    /// @return rateIndexOfHead Redemption rate index of the first redemption in the queue
    ///         (index `redemptionQueueHead`)
    /// @return newRedemptionQueueHead Index of the first redemption that cannot be claimed now
    /// @return amountQ Total amount of QUEEN in found redemptions
    /// @return underlying Total claimable underlying tokens in found redemptions
    function getQueuedRedemptions(address account)
        external
        view
        returns (
            uint256[] memory indices,
            uint256[] memory rateIndices,
            uint256 rateIndexOfHead,
            uint256 newRedemptionQueueHead,
            uint256 amountQ,
            uint256 underlying
        )
    {
        newRedemptionQueueHead = getNewRedemptionQueueHead();
        uint256 count = balanceOf(account);
        indices = new uint256[](count);
        rateIndices = new uint256[](count);
        for (uint256 i = 0; i < count; i++) {
            uint256 index = tokenOfOwnerByIndex(account, i);
            indices[i] = index;
            rateIndices[i] = getRedemptionRateIndex(index);
            amountQ += queuedRedemptions[index].amountQ;
            if (index < newRedemptionQueueHead) {
                underlying += getRedemptionUnderlying(index);
            }
        }
        rateIndexOfHead = getRedemptionRateIndex(redemptionQueueHead);
    }

    function getNextFinalizationIndex() public view returns (uint256 index) {
        if (redemptionRateSize == 0) return 0;
        return redemptionRates[redemptionRateSize - 1].nextIndex;
    }

    /// @notice Return whether the fund can change its primary market to another contract.
    function canBeRemovedFromFund() external view returns (bool) {
        return redemptionQueueHead == redemptionQueueTail;
    }

    function tokenURI(uint256 tokenId) public view override returns (string memory) {
        require(_exists(tokenId));
        uint256 amountQ = queuedRedemptions[tokenId].amountQ;
        uint256 amountUnderlying = getRedemptionUnderlying(tokenId);
        return
            _descriptor.tokenURI(
                tokenId,
                amountQ,
                amountUnderlying,
                queuedRedemptions[tokenId].seed
            );
    }

    // save bytecode by removing implementation of unused method
    function baseURI() public view override returns (string memory) {}

    /// @notice Create QUEEN using underlying tokens. This function should be called by
    ///         a smart contract, which transfers underlying tokens to this contract
    ///         in the same transaction.
    /// @param recipient Address that will receive created QUEEN
    /// @param minOutQ Minimum QUEEN amount to be received
    /// @param version The latest rebalance version
    /// @return outQ Received QUEEN amount
    function create(
        address recipient,
        uint256 minOutQ,
        uint256 version
    ) external nonReentrant returns (uint256 outQ) {
        uint256 underlying = _tokenUnderlying.balanceOf(address(this)).sub(claimableUnderlying);
        outQ = getCreation(underlying);
        require(outQ >= minOutQ && outQ > 0, "Min QUEEN created");
        IFundForPrimaryMarketV4(fund).primaryMarketMint(TRANCHE_Q, recipient, outQ, version);
        _tokenUnderlying.safeTransfer(fund, underlying);
        emit Created(recipient, underlying, outQ);
    }

    /// @notice Redeem QUEEN and wait in the redemption queue. Redeemed underlying tokens will
    ///         be claimable when the fund has enough balance to pay this redemption and all
    ///         previous ones in the queue.
    /// @param recipient Address that will receive redeemed underlying tokens
    /// @param inQ Spent QUEEN amount
    /// @param version The latest rebalance version
    /// @return underlying Received underlying amount, always return zero
    /// @return index Index of the queued redemption
    function queueRedemption(
        address recipient,
        uint256 inQ,
        uint256, // minUnderlying is ignored
        uint256 version
    ) external nonReentrant returns (uint256 underlying, uint256 index) {
        require(inQ >= minRedemptionBound && inQ <= maxRedemptionBound, "Invalid amount");
        underlying = 0;
        index = redemptionQueueTail;
        QueuedRedemption storage newRedemption = queuedRedemptions[index];
        newRedemption.amountQ = inQ;
        // overflow is desired
        queuedRedemptions[index + 1].previousPrefixSum = newRedemption.previousPrefixSum + inQ;
        redemptionQueueTail = index + 1;
        // Transfer QUEEN from the sender to this contract
        IFundForPrimaryMarketV4(fund).primaryMarketBurn(TRANCHE_Q, msg.sender, inQ, version);
        IFundForPrimaryMarketV4(fund).primaryMarketMint(TRANCHE_Q, address(this), inQ, version);
        newRedemption.seed = _descriptor.generateSeed(index, inQ);
        emit RedemptionQueued(recipient, index, inQ);
        // Mint the redemption NFT
        _safeMint(recipient, index);
    }

    function finalizeRedemptions(uint256 count) external {
        require(msg.sender == IFundV4(fund).strategy(), "Only Strategy");
        uint256 oldFinalizedIndex = getNextFinalizationIndex();
        uint256 newFinalizedIndex = oldFinalizedIndex.add(count);
        require(newFinalizedIndex <= redemptionQueueTail, "Redemption queue out of bound");

        // overflow is desired
        uint256 amountQ =
            queuedRedemptions[newFinalizedIndex].previousPrefixSum -
                queuedRedemptions[oldFinalizedIndex].previousPrefixSum;

        (uint256 underlying, ) = getRedemption(amountQ);
        uint256 version = IFundV4(fund).getRebalanceSize();
        IFundForPrimaryMarketV4(fund).primaryMarketBurn(TRANCHE_Q, address(this), amountQ, version);
        IFundForPrimaryMarketV4(fund).primaryMarketAddDebtAndFee(underlying, 0);
        emit Redeemed(address(0), amountQ, underlying, 0);
        redemptionRates[redemptionRateSize++] = RedemptionRate({
            nextIndex: newFinalizedIndex,
            underlyingPerQ: underlying.divideDecimalPrecise(amountQ)
        });
        emit RedemptionFinalized(newFinalizedIndex, amountQ, underlying);
        emit BatchMetadataUpdate(oldFinalizedIndex, newFinalizedIndex - 1);
    }

    /// @notice Remove a given number of redemptions from the front of the redemption queue and
    ///         fetch underlying tokens of these redemptions from the fund. Revert if the fund
    ///         cannot pay these redemptions now.
    /// @param count The number of redemptions to be removed, or zero to completely empty the queue
    /// @param rateIndexOfHead Redemption rate index of the first redemption in the queue
    ///        (index `redemptionQueueHead`). Call `getRedemptionRateIndexOfHead()` for this value.
    function popRedemptionQueue(uint256 count, uint256 rateIndexOfHead) external nonReentrant {
        _popRedemptionQueue(count, rateIndexOfHead);
    }

    function _popRedemptionQueue(uint256 count, uint256 rateIndexOfHead) private {
        uint256 oldHead = redemptionQueueHead;
        uint256 oldTail = getNextFinalizationIndex();
        uint256 newHead;
        if (count == 0) {
            if (oldHead == oldTail) {
                return;
            }
            newHead = oldTail;
        } else {
            newHead = oldHead.add(count);
            require(newHead <= oldTail, "Redemption queue out of bound");
        }

        require(rateIndexOfHead < redemptionRateSize, "Invalid rate index");
        require(
            rateIndexOfHead == 0 || oldHead >= redemptionRates[rateIndexOfHead - 1].nextIndex,
            "Invalid rate index"
        );
        require(oldHead < redemptionRates[rateIndexOfHead].nextIndex, "Invalid rate index");

        uint256 startIndex = oldHead;
        uint256 requiredUnderlying = 0;
        while (startIndex < newHead) {
            uint256 nextIndex = redemptionRates[rateIndexOfHead].nextIndex;
            uint256 endIndex = newHead.min(nextIndex);
            requiredUnderlying = requiredUnderlying.add(
                redemptionRates[rateIndexOfHead].underlyingPerQ.multiplyDecimalPrecise(
                    queuedRedemptions[endIndex].previousPrefixSum -
                        queuedRedemptions[startIndex].previousPrefixSum
                ) // overflow is desired
            );
            if (endIndex == nextIndex) {
                rateIndexOfHead++;
            }
            startIndex = endIndex;
        }
        if (newHead == oldTail) {
            // The fund's debt can be slightly larger than the sum of all finalized redemptions
            // due to rounding errors. In this case, we completely clear the debt, so that it
            // won't block `FundV4.applyStrategyUpdate()`.
            uint256 debt = IFundV4(fund).getTotalDebt();
            require(debt >= requiredUnderlying);
            requiredUnderlying = debt;
        }
        // Redundant check for user-friendly revert message.
        require(
            requiredUnderlying <= _tokenUnderlying.balanceOf(fund),
            "Not enough underlying in fund"
        );
        claimableUnderlying = claimableUnderlying.add(requiredUnderlying);
        IFundForPrimaryMarketV4(fund).primaryMarketPayDebt(requiredUnderlying);
        redemptionQueueHead = newHead;
        emit RedemptionPopped(newHead - oldHead, newHead, requiredUnderlying);
    }

    /// @notice Claim underlying tokens of queued redemptions. All these redemptions must belong
    ///         to msg.sender.
    /// @param indices Indices of the redemptions in the queue, which must be in increasing order
    /// @param rateIndices Indices of the redemption rates, which must corrspond to the queued
    ///        redemption indices
    /// @param rateIndexOfHead Redemption rate index of the first redemption in the queue
    ///        (index `redemptionQueueHead`). Call `getRedemptionRateIndexOfHead()` for this value.
    /// @return underlying Total claimed underlying amount
    function claimRedemptions(
        uint256[] calldata indices,
        uint256[] calldata rateIndices,
        uint256 rateIndexOfHead
    ) external nonReentrant returns (uint256 underlying) {
        underlying = _claimRedemptions(indices, rateIndices, rateIndexOfHead);
        _tokenUnderlying.safeTransfer(msg.sender, underlying);
    }

    /// @notice Claim native currency of queued redemptions. The underlying must be wrapped token
    ///         of the native currency. All these redemptions must belong to msg.sender.
    /// @param indices Indices of the redemptions in the queue, which must be in increasing order
    /// @param rateIndices Indices of the redemption rates, which must corrspond to the indices
    /// @param rateIndexOfHead Redemption rate index of the first redemption in the queue
    ///        (index `redemptionQueueHead`). Call `getRedemptionRateIndexOfHead()` for this value.
    /// @return underlying Total claimed underlying amount
    function claimRedemptionsAndUnwrap(
        uint256[] calldata indices,
        uint256[] calldata rateIndices,
        uint256 rateIndexOfHead
    ) external nonReentrant returns (uint256 underlying) {
        underlying = _claimRedemptions(indices, rateIndices, rateIndexOfHead);
        IWrappedERC20(address(_tokenUnderlying)).withdraw(underlying);
        (bool success, ) = msg.sender.call{value: underlying}("");
        require(success, "Transfer failed");
    }

    function _claimRedemptions(
        uint256[] calldata indices,
        uint256[] calldata rateIndices,
        uint256 rateIndexOfHead
    ) private returns (uint256 underlying) {
        uint256 count = indices.length;
        require(count == rateIndices.length, "Invalid rate indices");
        if (count == 0) {
            return 0;
        }
        uint256 head = redemptionQueueHead;
        if (indices[count - 1] >= head) {
            _popRedemptionQueue(indices[count - 1] - head + 1, rateIndexOfHead);
        }
        for (uint256 i = 0; i < count; i++) {
            require(i == 0 || indices[i] > indices[i - 1], "Indices out of order");
            require(rateIndices[i] < redemptionRateSize, "Invalid rate index");
            // redemptionRates[rateIndices[i] - 1].nextIndex == 0 if rateIndices[i] == 0
            require(
                indices[i] < redemptionRates[rateIndices[i]].nextIndex &&
                    indices[i] >= redemptionRates[rateIndices[i] - 1].nextIndex,
                "Invalid index"
            );
            QueuedRedemption storage redemption = queuedRedemptions[indices[i]];
            uint256 redemptionUnderlying =
                redemption.amountQ.multiplyDecimalPrecise(
                    redemptionRates[rateIndices[i]].underlyingPerQ
                );
            require(
                ownerOf(indices[i]) == msg.sender && redemption.amountQ != 0,
                "Invalid redemption index"
            );
            underlying = underlying.add(redemptionUnderlying);
            emit RedemptionClaimed(msg.sender, indices[i], redemptionUnderlying);
            delete queuedRedemptions[indices[i]];
            _burn(indices[i]);
        }
        claimableUnderlying = claimableUnderlying.sub(underlying);
    }

    function split(
        address recipient,
        uint256 inQ,
        uint256 version
    ) external returns (uint256 outB) {
        outB = getSplit(inQ);
        IFundForPrimaryMarketV4(fund).primaryMarketBurn(TRANCHE_Q, msg.sender, inQ, version);
        IFundForPrimaryMarketV4(fund).primaryMarketMint(TRANCHE_B, recipient, outB, version);
        IFundForPrimaryMarketV4(fund).primaryMarketMint(TRANCHE_R, recipient, outB, version);
        emit Split(recipient, inQ, outB, outB);
    }

    function merge(
        address recipient,
        uint256 inB,
        uint256 version
    ) external returns (uint256 outQ) {
        uint256 feeQ;
        (outQ, feeQ) = getMerge(inB);
        IFundForPrimaryMarketV4(fund).primaryMarketBurn(TRANCHE_B, msg.sender, inB, version);
        IFundForPrimaryMarketV4(fund).primaryMarketBurn(TRANCHE_R, msg.sender, inB, version);
        IFundForPrimaryMarketV4(fund).primaryMarketMint(TRANCHE_Q, recipient, outQ, version);
        IFundForPrimaryMarketV4(fund).primaryMarketAddDebtAndFee(0, feeQ);
        emit Merged(recipient, outQ, inB, inB, feeQ);
    }

    /// @dev Nothing to do for daily fund settlement.
    function settle(uint256 day) external onlyFund {}

    function _updateFundCap(uint256 newCap) private {
        fundCap = newCap;
        emit FundCapUpdated(newCap);
    }

    function updateFundCap(uint256 newCap) external onlyOwner {
        _updateFundCap(newCap);
    }

    function _updateMergeFeeRate(uint256 newMergeFeeRate) private {
        require(newMergeFeeRate <= MAX_MERGE_FEE_RATE, "Exceed max merge fee rate");
        mergeFeeRate = newMergeFeeRate;
        emit MergeFeeRateUpdated(newMergeFeeRate);
    }

    function updateMergeFeeRate(uint256 newMergeFeeRate) external onlyOwner {
        _updateMergeFeeRate(newMergeFeeRate);
    }

    function _updateRedemptionBounds(uint256 newMinRedemptionBound, uint256 newMaxRedemptionBound)
        private
    {
        require(newMinRedemptionBound <= newMaxRedemptionBound, "Invalid redemption bounds");
        minRedemptionBound = newMinRedemptionBound;
        maxRedemptionBound = newMaxRedemptionBound;
        emit RedemptionBoundsUpdated(newMinRedemptionBound, newMaxRedemptionBound);
    }

    function updateRedemptionBounds(uint256 newMinRedemptionBound, uint256 newMaxRedemptionBound)
        external
        onlyOwner
    {
        _updateRedemptionBounds(newMinRedemptionBound, newMaxRedemptionBound);
    }

    /// @notice Receive unwrapped transfer from the wrapped token.
    receive() external payable {}

    modifier onlyFund() {
        require(msg.sender == fund, "Only fund");
        _;
    }
}

// File: @openzeppelin/contracts/math/Math.sol



// SPDX-License-Identifier: MIT

pragma solidity >=0.6.0 <0.8.0;

/**
 * @dev Standard math utilities missing in the Solidity language.
 */
library Math {
    /**
     * @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, so we distribute
        return (a / 2) + (b / 2) + ((a % 2 + b % 2) / 2);
    }
}

// File: @openzeppelin/contracts/math/SafeMath.sol



// SPDX-License-Identifier: MIT

pragma solidity >=0.6.0 <0.8.0;

/**
 * @dev Wrappers over Solidity's arithmetic operations with added overflow
 * checks.
 *
 * Arithmetic operations in Solidity wrap on overflow. This can easily result
 * in bugs, because programmers usually assume that an overflow raises an
 * error, which is the standard behavior in high level programming languages.
 * `SafeMath` restores this intuition by reverting the transaction when an
 * operation overflows.
 *
 * Using this library instead of the unchecked operations eliminates an entire
 * class of bugs, so it's recommended to use it always.
 */
library SafeMath {
    /**
     * @dev Returns the addition of two unsigned integers, with an overflow flag.
     *
     * _Available since v3.4._
     */
    function tryAdd(uint256 a, uint256 b) internal pure returns (bool, uint256) {
        uint256 c = a + b;
        if (c < a) return (false, 0);
        return (true, c);
    }

    /**
     * @dev Returns the substraction of two unsigned integers, with an overflow flag.
     *
     * _Available since v3.4._
     */
    function trySub(uint256 a, uint256 b) internal pure returns (bool, uint256) {
        if (b > a) return (false, 0);
        return (true, a - b);
    }

    /**
     * @dev Returns the multiplication of two unsigned integers, with an overflow flag.
     *
     * _Available since v3.4._
     */
    function tryMul(uint256 a, uint256 b) internal pure returns (bool, uint256) {
        // Gas optimization: this is cheaper than requiring 'a' not being zero, but the
        // benefit is lost if 'b' is also tested.
        // See: https://github.com/OpenZeppelin/openzeppelin-contracts/pull/522
        if (a == 0) return (true, 0);
        uint256 c = a * b;
        if (c / a != b) return (false, 0);
        return (true, c);
    }

    /**
     * @dev Returns the division of two unsigned integers, with a division by zero flag.
     *
     * _Available since v3.4._
     */
    function tryDiv(uint256 a, uint256 b) internal pure returns (bool, uint256) {
        if (b == 0) return (false, 0);
        return (true, a / b);
    }

    /**
     * @dev Returns the remainder of dividing two unsigned integers, with a division by zero flag.
     *
     * _Available since v3.4._
     */
    function tryMod(uint256 a, uint256 b) internal pure returns (bool, uint256) {
        if (b == 0) return (false, 0);
        return (true, a % b);
    }

    /**
     * @dev Returns the addition of two unsigned integers, reverting on
     * overflow.
     *
     * Counterpart to Solidity's `+` operator.
     *
     * Requirements:
     *
     * - Addition cannot overflow.
     */
    function add(uint256 a, uint256 b) internal pure returns (uint256) {
        uint256 c = a + b;
        require(c >= a, "SafeMath: addition overflow");
        return c;
    }

    /**
     * @dev Returns the subtraction of two unsigned integers, reverting on
     * overflow (when the result is negative).
     *
     * Counterpart to Solidity's `-` operator.
     *
     * Requirements:
     *
     * - Subtraction cannot overflow.
     */
    function sub(uint256 a, uint256 b) internal pure returns (uint256) {
        require(b <= a, "SafeMath: subtraction overflow");
        return a - b;
    }

    /**
     * @dev Returns the multiplication of two unsigned integers, reverting on
     * overflow.
     *
     * Counterpart to Solidity's `*` operator.
     *
     * Requirements:
     *
     * - Multiplication cannot overflow.
     */
    function mul(uint256 a, uint256 b) internal pure returns (uint256) {
        if (a == 0) return 0;
        uint256 c = a * b;
        require(c / a == b, "SafeMath: multiplication overflow");
        return c;
    }

    /**
     * @dev Returns the integer division of two unsigned integers, reverting on
     * division by zero. The result is rounded towards zero.
     *
     * Counterpart to Solidity's `/` operator. Note: this function uses a
     * `revert` opcode (which leaves remaining gas untouched) while Solidity
     * uses an invalid opcode to revert (consuming all remaining gas).
     *
     * Requirements:
     *
     * - The divisor cannot be zero.
     */
    function div(uint256 a, uint256 b) internal pure returns (uint256) {
        require(b > 0, "SafeMath: division by zero");
        return a / b;
    }

    /**
     * @dev Returns the remainder of dividing two unsigned integers. (unsigned integer modulo),
     * reverting when dividing by zero.
     *
     * Counterpart to Solidity's `%` operator. This function uses a `revert`
     * opcode (which leaves remaining gas untouched) while Solidity uses an
     * invalid opcode to revert (consuming all remaining gas).
     *
     * Requirements:
     *
     * - The divisor cannot be zero.
     */
    function mod(uint256 a, uint256 b) internal pure returns (uint256) {
        require(b > 0, "SafeMath: modulo by zero");
        return a % b;
    }

    /**
     * @dev Returns the subtraction of two unsigned integers, reverting with custom message on
     * overflow (when the result is negative).
     *
     * CAUTION: This function is deprecated because it requires allocating memory for the error
     * message unnecessarily. For custom revert reasons use {trySub}.
     *
     * Counterpart to Solidity's `-` operator.
     *
     * Requirements:
     *
     * - Subtraction cannot overflow.
     */
    function sub(uint256 a, uint256 b, string memory errorMessage) internal pure returns (uint256) {
        require(b <= a, errorMessage);
        return a - b;
    }

    /**
     * @dev Returns the integer division of two unsigned integers, reverting with custom message on
     * division by zero. The result is rounded towards zero.
     *
     * CAUTION: This function is deprecated because it requires allocating memory for the error
     * message unnecessarily. For custom revert reasons use {tryDiv}.
     *
     * Counterpart to Solidity's `/` operator. Note: this function uses a
     * `revert` opcode (which leaves remaining gas untouched) while Solidity
     * uses an invalid opcode to revert (consuming all remaining gas).
     *
     * Requirements:
     *
     * - The divisor cannot be zero.
     */
    function div(uint256 a, uint256 b, string memory errorMessage) internal pure returns (uint256) {
        require(b > 0, errorMessage);
        return a / b;
    }

    /**
     * @dev Returns the remainder of dividing two unsigned integers. (unsigned integer modulo),
     * reverting with custom message when dividing by zero.
     *
     * CAUTION: This function is deprecated because it requires allocating memory for the error
     * message unnecessarily. For custom revert reasons use {tryMod}.
     *
     * Counterpart to Solidity's `%` operator. This function uses a `revert`
     * opcode (which leaves remaining gas untouched) while Solidity uses an
     * invalid opcode to revert (consuming all remaining gas).
     *
     * Requirements:
     *
     * - The divisor cannot be zero.
     */
    function mod(uint256 a, uint256 b, string memory errorMessage) internal pure returns (uint256) {
        require(b > 0, errorMessage);
        return a % b;
    }
}

// File: @openzeppelin/contracts/token/ERC20/IERC20.sol



// SPDX-License-Identifier: MIT

pragma solidity >=0.6.0 <0.8.0;

/**
 * @dev Interface of the ERC20 standard as defined in the EIP.
 */
interface IERC20 {
    /**
     * @dev Returns the amount of tokens in existence.
     */
    function totalSupply() external view returns (uint256);

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

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

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

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

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

    /**
     * @dev Emitted when `value` tokens are moved from one account (`from`) to
     * another (`to`).
     *
     * Note that `value` may be zero.
     */
    event Transfer(address indexed from, address indexed to, uint256 value);

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

// File: @openzeppelin/contracts/token/ERC20/SafeERC20.sol



// SPDX-License-Identifier: MIT

pragma solidity >=0.6.0 <0.8.0;

import "./IERC20.sol";
import "../../math/SafeMath.sol";
import "../../utils/Address.sol";

/**
 * @title SafeERC20
 * @dev Wrappers around ERC20 operations that throw on failure (when the token
 * contract returns false). Tokens that return no value (and instead revert or
 * throw on failure) are also supported, non-reverting calls are assumed to be
 * successful.
 * To use this library you can add a `using SafeERC20 for IERC20;` statement to your contract,
 * which allows you to call the safe operations as `token.safeTransfer(...)`, etc.
 */
library SafeERC20 {
    using SafeMath for uint256;
    using Address for address;

    function safeTransfer(IERC20 token, address to, uint256 value) internal {
        _callOptionalReturn(token, abi.encodeWithSelector(token.transfer.selector, to, value));
    }

    function safeTransferFrom(IERC20 token, address from, address to, uint256 value) internal {
        _callOptionalReturn(token, abi.encodeWithSelector(token.transferFrom.selector, from, to, value));
    }

    /**
     * @dev Deprecated. This function has issues similar to the ones found in
     * {IERC20-approve}, and its usage is discouraged.
     *
     * Whenever possible, use {safeIncreaseAllowance} and
     * {safeDecreaseAllowance} instead.
     */
    function safeApprove(IERC20 token, address spender, uint256 value) internal {
        // safeApprove should only be called when setting an initial allowance,
        // or when resetting it to zero. To increase and decrease it, use
        // 'safeIncreaseAllowance' and 'safeDecreaseAllowance'
        // solhint-disable-next-line max-line-length
        require((value == 0) || (token.allowance(address(this), spender) == 0),
            "SafeERC20: approve from non-zero to non-zero allowance"
        );
        _callOptionalReturn(token, abi.encodeWithSelector(token.approve.selector, spender, value));
    }

    function safeIncreaseAllowance(IERC20 token, address spender, uint256 value) internal {
        uint256 newAllowance = token.allowance(address(this), spender).add(value);
        _callOptionalReturn(token, abi.encodeWithSelector(token.approve.selector, spender, newAllowance));
    }

    function safeDecreaseAllowance(IERC20 token, address spender, uint256 value) internal {
        uint256 newAllowance = token.allowance(address(this), spender).sub(value, "SafeERC20: decreased allowance below zero");
        _callOptionalReturn(token, abi.encodeWithSelector(token.approve.selector, spender, newAllowance));
    }

    /**
     * @dev Imitates a Solidity high-level call (i.e. a regular function call to a contract), relaxing the requirement
     * on the return value: the return value is optional (but if data is returned, it must not be false).
     * @param token The token targeted by the call.
     * @param data The call data (encoded using abi.encode or one of its variants).
     */
    function _callOptionalReturn(IERC20 token, bytes memory data) private {
        // We need to perform a low level call here, to bypass Solidity's return data size checking mechanism, since
        // we're implementing it ourselves. We use {Address.functionCall} to perform this call, which verifies that
        // the target address contains contract code and also asserts for success in the low-level call.

        bytes memory returndata = address(token).functionCall(data, "SafeERC20: low-level call failed");
        if (returndata.length > 0) { // Return data is optional
            // solhint-disable-next-line max-line-length
            require(abi.decode(returndata, (bool)), "SafeERC20: ERC20 operation did not succeed");
        }
    }
}

// File: @openzeppelin/contracts/utils/ReentrancyGuard.sol



// SPDX-License-Identifier: MIT

pragma solidity >=0.6.0 <0.8.0;

/**
 * @dev Contract module that helps prevent reentrant calls to a function.
 *
 * Inheriting from `ReentrancyGuard` will make the {nonReentrant} modifier
 * available, which can be applied to functions to make sure there are no nested
 * (reentrant) calls to them.
 *
 * Note that because there is a single `nonReentrant` guard, functions marked as
 * `nonReentrant` may not call one another. This can be worked around by making
 * those functions `private`, and then adding `external` `nonReentrant` entry
 * points to them.
 *
 * TIP: If you would like to learn more about reentrancy and alternative ways
 * to protect against it, check out our blog post
 * https://blog.openzeppelin.com/reentrancy-after-istanbul/[Reentrancy After Istanbul].
 */
abstract contract ReentrancyGuard {
    // Booleans are more expensive than uint256 or any type that takes up a full
    // word because each write operation emits an extra SLOAD to first read the
    // slot's contents, replace the bits taken up by the boolean, and then write
    // back. This is the compiler's defense against contract upgrades and
    // pointer aliasing, and it cannot be disabled.

    // The values being non-zero value makes deployment a bit more expensive,
    // but in exchange the refund on every call to nonReentrant will be lower in
    // amount. Since refunds are capped to a percentage of the total
    // transaction's gas, it is best to keep them low in cases like this one, to
    // increase the likelihood of the full refund coming into effect.
    uint256 private constant _NOT_ENTERED = 1;
    uint256 private constant _ENTERED = 2;

    uint256 private _status;

    constructor () internal {
        _status = _NOT_ENTERED;
    }

    /**
     * @dev Prevents a contract from calling itself, directly or indirectly.
     * Calling a `nonReentrant` function from another `nonReentrant`
     * function is not supported. It is possible to prevent this from happening
     * by making the `nonReentrant` function external, and make it call a
     * `private` function that does the actual work.
     */
    modifier nonReentrant() {
        // On the first call to nonReentrant, _notEntered will be true
        require(_status != _ENTERED, "ReentrancyGuard: reentrant call");

        // Any calls to nonReentrant after this point will fail
        _status = _ENTERED;

        _;

        // By storing the original value once again, a refund is triggered (see
        // https://eips.ethereum.org/EIPS/eip-2200)
        _status = _NOT_ENTERED;
    }
}

// File: @openzeppelin/contracts/access/Ownable.sol



// SPDX-License-Identifier: MIT

pragma solidity >=0.6.0 <0.8.0;

import "../utils/Context.sol";
/**
 * @dev Contract module which provides a basic access control mechanism, where
 * there is an account (an owner) that can be granted exclusive access to
 * specific functions.
 *
 * By default, the owner account will be the one that deploys the contract. This
 * can later be changed with {transferOwnership}.
 *
 * This module is used through inheritance. It will make available the modifier
 * `onlyOwner`, which can be applied to your functions to restrict their use to
 * the owner.
 */
abstract contract Ownable is Context {
    address private _owner;

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

    /**
     * @dev Initializes the contract setting the deployer as the initial owner.
     */
    constructor () internal {
        address msgSender = _msgSender();
        _owner = msgSender;
        emit OwnershipTransferred(address(0), msgSender);
    }

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

    /**
     * @dev Throws if called by any account other than the owner.
     */
    modifier onlyOwner() {
        require(owner() == _msgSender(), "Ownable: caller is not the owner");
        _;
    }

    /**
     * @dev Leaves the contract without owner. It will not be possible to call
     * `onlyOwner` functions anymore. Can only be called by the current owner.
     *
     * NOTE: Renouncing ownership will leave the contract without an owner,
     * thereby removing any functionality that is only available to the owner.
     */
    function renounceOwnership() public virtual onlyOwner {
        emit OwnershipTransferred(_owner, address(0));
        _owner = address(0);
    }

    /**
     * @dev Transfers ownership of the contract to a new account (`newOwner`).
     * Can only be called by the current owner.
     */
    function transferOwnership(address newOwner) public virtual onlyOwner {
        require(newOwner != address(0), "Ownable: new owner is the zero address");
        emit OwnershipTransferred(_owner, newOwner);
        _owner = newOwner;
    }
}

// File: @openzeppelin/contracts/token/ERC721/ERC721.sol



// SPDX-License-Identifier: MIT

pragma solidity >=0.6.0 <0.8.0;

import "../../utils/Context.sol";
import "./IERC721.sol";
import "./IERC721Metadata.sol";
import "./IERC721Enumerable.sol";
import "./IERC721Receiver.sol";
import "../../introspection/ERC165.sol";
import "../../math/SafeMath.sol";
import "../../utils/Address.sol";
import "../../utils/EnumerableSet.sol";
import "../../utils/EnumerableMap.sol";
import "../../utils/Strings.sol";

/**
 * @title ERC721 Non-Fungible Token Standard basic implementation
 * @dev see https://eips.ethereum.org/EIPS/eip-721
 */
contract ERC721 is Context, ERC165, IERC721, IERC721Metadata, IERC721Enumerable {
    using SafeMath for uint256;
    using Address for address;
    using EnumerableSet for EnumerableSet.UintSet;
    using EnumerableMap for EnumerableMap.UintToAddressMap;
    using Strings for uint256;

    // Equals to `bytes4(keccak256("onERC721Received(address,address,uint256,bytes)"))`
    // which can be also obtained as `IERC721Receiver(0).onERC721Received.selector`
    bytes4 private constant _ERC721_RECEIVED = 0x150b7a02;

    // Mapping from holder address to their (enumerable) set of owned tokens
    mapping (address => EnumerableSet.UintSet) private _holderTokens;

    // Enumerable mapping from token ids to their owners
    EnumerableMap.UintToAddressMap private _tokenOwners;

    // Mapping from token ID to approved address
    mapping (uint256 => address) private _tokenApprovals;

    // Mapping from owner to operator approvals
    mapping (address => mapping (address => bool)) private _operatorApprovals;

    // Token name
    string private _name;

    // Token symbol
    string private _symbol;

    // Optional mapping for token URIs
    mapping (uint256 => string) private _tokenURIs;

    // Base URI
    string private _baseURI;

    /*
     *     bytes4(keccak256('balanceOf(address)')) == 0x70a08231
     *     bytes4(keccak256('ownerOf(uint256)')) == 0x6352211e
     *     bytes4(keccak256('approve(address,uint256)')) == 0x095ea7b3
     *     bytes4(keccak256('getApproved(uint256)')) == 0x081812fc
     *     bytes4(keccak256('setApprovalForAll(address,bool)')) == 0xa22cb465
     *     bytes4(keccak256('isApprovedForAll(address,address)')) == 0xe985e9c5
     *     bytes4(keccak256('transferFrom(address,address,uint256)')) == 0x23b872dd
     *     bytes4(keccak256('safeTransferFrom(address,address,uint256)')) == 0x42842e0e
     *     bytes4(keccak256('safeTransferFrom(address,address,uint256,bytes)')) == 0xb88d4fde
     *
     *     => 0x70a08231 ^ 0x6352211e ^ 0x095ea7b3 ^ 0x081812fc ^
     *        0xa22cb465 ^ 0xe985e9c5 ^ 0x23b872dd ^ 0x42842e0e ^ 0xb88d4fde == 0x80ac58cd
     */
    bytes4 private constant _INTERFACE_ID_ERC721 = 0x80ac58cd;

    /*
     *     bytes4(keccak256('name()')) == 0x06fdde03
     *     bytes4(keccak256('symbol()')) == 0x95d89b41
     *     bytes4(keccak256('tokenURI(uint256)')) == 0xc87b56dd
     *
     *     => 0x06fdde03 ^ 0x95d89b41 ^ 0xc87b56dd == 0x5b5e139f
     */
    bytes4 private constant _INTERFACE_ID_ERC721_METADATA = 0x5b5e139f;

    /*
     *     bytes4(keccak256('totalSupply()')) == 0x18160ddd
     *     bytes4(keccak256('tokenOfOwnerByIndex(address,uint256)')) == 0x2f745c59
     *     bytes4(keccak256('tokenByIndex(uint256)')) == 0x4f6ccce7
     *
     *     => 0x18160ddd ^ 0x2f745c59 ^ 0x4f6ccce7 == 0x780e9d63
     */
    bytes4 private constant _INTERFACE_ID_ERC721_ENUMERABLE = 0x780e9d63;

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

        // register the supported interfaces to conform to ERC721 via ERC165
        _registerInterface(_INTERFACE_ID_ERC721);
        _registerInterface(_INTERFACE_ID_ERC721_METADATA);
        _registerInterface(_INTERFACE_ID_ERC721_ENUMERABLE);
    }

    /**
     * @dev See {IERC721-balanceOf}.
     */
    function balanceOf(address owner) public view virtual override returns (uint256) {
        require(owner != address(0), "ERC721: balance query for the zero address");
        return _holderTokens[owner].length();
    }

    /**
     * @dev See {IERC721-ownerOf}.
     */
    function ownerOf(uint256 tokenId) public view virtual override returns (address) {
        return _tokenOwners.get(tokenId, "ERC721: owner query for nonexistent token");
    }

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

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

    /**
     * @dev See {IERC721Metadata-tokenURI}.
     */
    function tokenURI(uint256 tokenId) public view virtual override returns (string memory) {
        require(_exists(tokenId), "ERC721Metadata: URI query for nonexistent token");

        string memory _tokenURI = _tokenURIs[tokenId];
        string memory base = baseURI();

        // If there is no base URI, return the token URI.
        if (bytes(base).length == 0) {
            return _tokenURI;
        }
        // If both are set, concatenate the baseURI and tokenURI (via abi.encodePacked).
        if (bytes(_tokenURI).length > 0) {
            return string(abi.encodePacked(base, _tokenURI));
        }
        // If there is a baseURI but no tokenURI, concatenate the tokenID to the baseURI.
        return string(abi.encodePacked(base, tokenId.toString()));
    }

    /**
    * @dev Returns the base URI set via {_setBaseURI}. This will be
    * automatically added as a prefix in {tokenURI} to each token's URI, or
    * to the token ID if no specific URI is set for that token ID.
    */
    function baseURI() public view virtual returns (string memory) {
        return _baseURI;
    }

    /**
     * @dev See {IERC721Enumerable-tokenOfOwnerByIndex}.
     */
    function tokenOfOwnerByIndex(address owner, uint256 index) public view virtual override returns (uint256) {
        return _holderTokens[owner].at(index);
    }

    /**
     * @dev See {IERC721Enumerable-totalSupply}.
     */
    function totalSupply() public view virtual override returns (uint256) {
        // _tokenOwners are indexed by tokenIds, so .length() returns the number of tokenIds
        return _tokenOwners.length();
    }

    /**
     * @dev See {IERC721Enumerable-tokenByIndex}.
     */
    function tokenByIndex(uint256 index) public view virtual override returns (uint256) {
        (uint256 tokenId, ) = _tokenOwners.at(index);
        return tokenId;
    }

    /**
     * @dev See {IERC721-approve}.
     */
    function approve(address to, uint256 tokenId) public virtual override {
        address owner = ERC721.ownerOf(tokenId);
        require(to != owner, "ERC721: approval to current owner");

        require(_msgSender() == owner || ERC721.isApprovedForAll(owner, _msgSender()),
            "ERC721: approve caller is not owner nor approved for all"
        );

        _approve(to, tokenId);
    }

    /**
     * @dev See {IERC721-getApproved}.
     */
    function getApproved(uint256 tokenId) public view virtual override returns (address) {
        require(_exists(tokenId), "ERC721: approved query for nonexistent token");

        return _tokenApprovals[tokenId];
    }

    /**
     * @dev See {IERC721-setApprovalForAll}.
     */
    function setApprovalForAll(address operator, bool approved) public virtual override {
        require(operator != _msgSender(), "ERC721: approve to caller");

        _operatorApprovals[_msgSender()][operator] = approved;
        emit ApprovalForAll(_msgSender(), operator, approved);
    }

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

    /**
     * @dev See {IERC721-transferFrom}.
     */
    function transferFrom(address from, address to, uint256 tokenId) public virtual override {
        //solhint-disable-next-line max-line-length
        require(_isApprovedOrOwner(_msgSender(), tokenId), "ERC721: transfer caller is not owner nor approved");

        _transfer(from, to, tokenId);
    }

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

    /**
     * @dev See {IERC721-safeTransferFrom}.
     */
    function safeTransferFrom(address from, address to, uint256 tokenId, bytes memory _data) public virtual override {
        require(_isApprovedOrOwner(_msgSender(), tokenId), "ERC721: transfer caller is not owner nor approved");
        _safeTransfer(from, to, tokenId, _data);
    }

    /**
     * @dev Safely transfers `tokenId` token from `from` to `to`, checking first that contract recipients
     * are aware of the ERC721 protocol to prevent tokens from being forever locked.
     *
     * `_data` is additional data, it has no specified format and it is sent in call to `to`.
     *
     * This internal function is equivalent to {safeTransferFrom}, and can be used to e.g.
     * implement alternative mechanisms to perform token transfer, such as signature-based.
     *
     * Requirements:
     *
     * - `from` cannot be the zero address.
     * - `to` cannot be the zero address.
     * - `tokenId` token must exist and be owned by `from`.
     * - If `to` refers to a smart contract, it must implement {IERC721Receiver-onERC721Received}, which is called upon a safe transfer.
     *
     * Emits a {Transfer} event.
     */
    function _safeTransfer(address from, address to, uint256 tokenId, bytes memory _data) internal virtual {
        _transfer(from, to, tokenId);
        require(_checkOnERC721Received(from, to, tokenId, _data), "ERC721: transfer to non ERC721Receiver implementer");
    }

    /**
     * @dev Returns whether `tokenId` exists.
     *
     * Tokens can be managed by their owner or approved accounts via {approve} or {setApprovalForAll}.
     *
     * Tokens start existing when they are minted (`_mint`),
     * and stop existing when they are burned (`_burn`).
     */
    function _exists(uint256 tokenId) internal view virtual returns (bool) {
        return _tokenOwners.contains(tokenId);
    }

    /**
     * @dev Returns whether `spender` is allowed to manage `tokenId`.
     *
     * Requirements:
     *
     * - `tokenId` must exist.
     */
    function _isApprovedOrOwner(address spender, uint256 tokenId) internal view virtual returns (bool) {
        require(_exists(tokenId), "ERC721: operator query for nonexistent token");
        address owner = ERC721.ownerOf(tokenId);
        return (spender == owner || getApproved(tokenId) == spender || ERC721.isApprovedForAll(owner, spender));
    }

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

    /**
     * @dev Same as {xref-ERC721-_safeMint-address-uint256-}[`_safeMint`], with an additional `data` parameter which is
     * forwarded in {IERC721Receiver-onERC721Received} to contract recipients.
     */
    function _safeMint(address to, uint256 tokenId, bytes memory _data) internal virtual {
        _mint(to, tokenId);
        require(_checkOnERC721Received(address(0), to, tokenId, _data), "ERC721: transfer to non ERC721Receiver implementer");
    }

    /**
     * @dev Mints `tokenId` and transfers it to `to`.
     *
     * WARNING: Usage of this method is discouraged, use {_safeMint} whenever possible
     *
     * Requirements:
     *
     * - `tokenId` must not exist.
     * - `to` cannot be the zero address.
     *
     * Emits a {Transfer} event.
     */
    function _mint(address to, uint256 tokenId) internal virtual {
        require(to != address(0), "ERC721: mint to the zero address");
        require(!_exists(tokenId), "ERC721: token already minted");

        _beforeTokenTransfer(address(0), to, tokenId);

        _holderTokens[to].add(tokenId);

        _tokenOwners.set(tokenId, to);

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

    /**
     * @dev Destroys `tokenId`.
     * The approval is cleared when the token is burned.
     *
     * Requirements:
     *
     * - `tokenId` must exist.
     *
     * Emits a {Transfer} event.
     */
    function _burn(uint256 tokenId) internal virtual {
        address owner = ERC721.ownerOf(tokenId); // internal owner

        _beforeTokenTransfer(owner, address(0), tokenId);

        // Clear approvals
        _approve(address(0), tokenId);

        // Clear metadata (if any)
        if (bytes(_tokenURIs[tokenId]).length != 0) {
            delete _tokenURIs[tokenId];
        }

        _holderTokens[owner].remove(tokenId);

        _tokenOwners.remove(tokenId);

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

    /**
     * @dev Transfers `tokenId` from `from` to `to`.
     *  As opposed to {transferFrom}, this imposes no restrictions on msg.sender.
     *
     * Requirements:
     *
     * - `to` cannot be the zero address.
     * - `tokenId` token must be owned by `from`.
     *
     * Emits a {Transfer} event.
     */
    function _transfer(address from, address to, uint256 tokenId) internal virtual {
        require(ERC721.ownerOf(tokenId) == from, "ERC721: transfer of token that is not own"); // internal owner
        require(to != address(0), "ERC721: transfer to the zero address");

        _beforeTokenTransfer(from, to, tokenId);

        // Clear approvals from the previous owner
        _approve(address(0), tokenId);

        _holderTokens[from].remove(tokenId);
        _holderTokens[to].add(tokenId);

        _tokenOwners.set(tokenId, to);

        emit Transfer(from, to, tokenId);
    }

    /**
     * @dev Sets `_tokenURI` as the tokenURI of `tokenId`.
     *
     * Requirements:
     *
     * - `tokenId` must exist.
     */
    function _setTokenURI(uint256 tokenId, string memory _tokenURI) internal virtual {
        require(_exists(tokenId), "ERC721Metadata: URI set of nonexistent token");
        _tokenURIs[tokenId] = _tokenURI;
    }

    /**
     * @dev Internal function to set the base URI for all token IDs. It is
     * automatically added as a prefix to the value returned in {tokenURI},
     * or to the token ID if {tokenURI} is empty.
     */
    function _setBaseURI(string memory baseURI_) internal virtual {
        _baseURI = baseURI_;
    }

    /**
     * @dev Internal function to invoke {IERC721Receiver-onERC721Received} on a target address.
     * The call is not executed if the target address is not a contract.
     *
     * @param from address representing the previous owner of the given token ID
     * @param to target address that will receive the tokens
     * @param tokenId uint256 ID of the token to be transferred
     * @param _data bytes optional data to send along with the call
     * @return bool whether the call correctly returned the expected magic value
     */
    function _checkOnERC721Received(address from, address to, uint256 tokenId, bytes memory _data)
        private returns (bool)
    {
        if (!to.isContract()) {
            return true;
        }
        bytes memory returndata = to.functionCall(abi.encodeWithSelector(
            IERC721Receiver(to).onERC721Received.selector,
            _msgSender(),
            from,
            tokenId,
            _data
        ), "ERC721: transfer to non ERC721Receiver implementer");
        bytes4 retval = abi.decode(returndata, (bytes4));
        return (retval == _ERC721_RECEIVED);
    }

    /**
     * @dev Approve `to` to operate on `tokenId`
     *
     * Emits an {Approval} event.
     */
    function _approve(address to, uint256 tokenId) internal virtual {
        _tokenApprovals[tokenId] = to;
        emit Approval(ERC721.ownerOf(tokenId), to, tokenId); // internal owner
    }

    /**
     * @dev Hook that is called before any token transfer. This includes minting
     * and burning.
     *
     * Calling conditions:
     *
     * - When `from` and `to` are both non-zero, ``from``'s `tokenId` will be
     * transferred to `to`.
     * - When `from` is zero, `tokenId` will be minted for `to`.
     * - When `to` is zero, ``from``'s `tokenId` will be burned.
     * - `from` cannot be the zero address.
     * - `to` cannot be the zero address.
     *
     * To learn more about hooks, head to xref:ROOT:extending-contracts.adoc#using-hooks[Using Hooks].
     */
    function _beforeTokenTransfer(address from, address to, uint256 tokenId) internal virtual { }
}

// File: contracts/utils/SafeDecimalMath.sol



// SPDX-License-Identifier: MIT
//
// Copyright (c) 2019 Synthetix
//
// Permission is hereby granted, free of charge, to any person obtaining a copy
// of this software and associated documentation files (the "Software"), to deal
// in the Software without restriction, including without limitation the rights
// to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
// copies of the Software, and to permit persons to whom the Software is
// furnished to do so, subject to the following conditions:
//
// The above copyright notice and this permission notice shall be included in all
// copies or substantial portions of the Software.
//
// THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
// IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
// FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
// AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
// LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
// OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE
// SOFTWARE.
pragma solidity >=0.6.10 <0.8.0;

import "@openzeppelin/contracts/math/SafeMath.sol";

library SafeDecimalMath {
    using SafeMath for uint256;

    /* Number of decimal places in the representations. */
    uint256 private constant decimals = 18;
    uint256 private constant highPrecisionDecimals = 27;

    /* The number representing 1.0. */
    uint256 private constant UNIT = 10**uint256(decimals);

    /* The number representing 1.0 for higher fidelity numbers. */
    uint256 private constant PRECISE_UNIT = 10**uint256(highPrecisionDecimals);
    uint256 private constant UNIT_TO_HIGH_PRECISION_CONVERSION_FACTOR =
        10**uint256(highPrecisionDecimals - decimals);

    /**
     * @return The result of multiplying x and y, interpreting the operands as fixed-point
     * decimals.
     *
     * @dev A unit factor is divided out after the product of x and y is evaluated,
     * so that product must be less than 2**256. As this is an integer division,
     * the internal division always rounds down. This helps save on gas. Rounding
     * is more expensive on gas.
     */
    function multiplyDecimal(uint256 x, uint256 y) internal pure returns (uint256) {
        /* Divide by UNIT to remove the extra factor introduced by the product. */
        return x.mul(y).div(UNIT);
    }

    function multiplyDecimalPrecise(uint256 x, uint256 y) internal pure returns (uint256) {
        /* Divide by UNIT to remove the extra factor introduced by the product. */
        return x.mul(y).div(PRECISE_UNIT);
    }

    /**
     * @return The result of safely dividing x and y. The return value is a high
     * precision decimal.
     *
     * @dev y is divided after the product of x and the standard precision unit
     * is evaluated, so the product of x and UNIT must be less than 2**256. As
     * this is an integer division, the result is always rounded down.
     * This helps save on gas. Rounding is more expensive on gas.
     */
    function divideDecimal(uint256 x, uint256 y) internal pure returns (uint256) {
        /* Reintroduce the UNIT factor that will be divided out by y. */
        return x.mul(UNIT).div(y);
    }

    function divideDecimalPrecise(uint256 x, uint256 y) internal pure returns (uint256) {
        /* Reintroduce the UNIT factor that will be divided out by y. */
        return x.mul(PRECISE_UNIT).div(y);
    }

    /**
     * @dev Convert a standard decimal representation to a high precision one.
     */
    function decimalToPreciseDecimal(uint256 i) internal pure returns (uint256) {
        return i.mul(UNIT_TO_HIGH_PRECISION_CONVERSION_FACTOR);
    }

    /**
     * @dev Convert a high precision decimal to a standard decimal representation.
     */
    function preciseDecimalToDecimal(uint256 i) internal pure returns (uint256) {
        uint256 quotientTimesTen = i.mul(10).div(UNIT_TO_HIGH_PRECISION_CONVERSION_FACTOR);

        if (quotientTimesTen % 10 >= 5) {
            quotientTimesTen = quotientTimesTen.add(10);
        }

        return quotientTimesTen.div(10);
    }

    /**
     * @dev Returns the multiplication of two unsigned integers, and the max value of
     * uint256 on overflow.
     */
    function saturatingMul(uint256 a, uint256 b) internal pure returns (uint256) {
        if (a == 0) {
            return 0;
        }
        uint256 c = a * b;
        return c / a != b ? type(uint256).max : c;
    }

    function saturatingMultiplyDecimal(uint256 x, uint256 y) internal pure returns (uint256) {
        /* Divide by UNIT to remove the extra factor introduced by the product. */
        return saturatingMul(x, y).div(UNIT);
    }
}

// File: contracts/interfaces/IFundV4.sol



// SPDX-License-Identifier: GPL-3.0-or-later
pragma solidity >=0.6.10 <0.8.0;

import "./IFundV3.sol";

interface IFundV4 is IFundV3 {
    function getRelativeIncome(uint256 day)
        external
        view
        returns (uint256 incomeOverQ, uint256 incomeOverB);
}

// File: contracts/interfaces/IFundForPrimaryMarketV4.sol



// SPDX-License-Identifier: GPL-3.0-or-later
pragma solidity >=0.6.10 <0.8.0;

interface IFundForPrimaryMarketV4 {
    function primaryMarketMint(
        uint256 tranche,
        address account,
        uint256 amount,
        uint256 version
    ) external;

    function primaryMarketBurn(
        uint256 tranche,
        address account,
        uint256 amount,
        uint256 version
    ) external;

    function primaryMarketTransferUnderlying(
        address recipient,
        uint256 amount,
        uint256 feeQ
    ) external;

    function primaryMarketAddDebtAndFee(uint256 amount, uint256 feeQ) external;

    function primaryMarketPayDebt(uint256 amount) external;
}

// File: contracts/interfaces/ITrancheIndexV2.sol



// SPDX-License-Identifier: GPL-3.0-or-later
pragma solidity >=0.6.10 <0.8.0;

/// @notice Amounts of QUEEN, BISHOP and ROOK are sometimes stored in a `uint256[3]` array.
///         This contract defines index of each tranche in this array.
///
///         Solidity does not allow constants to be defined in interfaces. So this contract follows
///         the naming convention of interfaces but is implemented as an `abstract contract`.
abstract contract ITrancheIndexV2 {
    uint256 internal constant TRANCHE_Q = 0;
    uint256 internal constant TRANCHE_B = 1;
    uint256 internal constant TRANCHE_R = 2;

    uint256 internal constant TRANCHE_COUNT = 3;
}

// File: contracts/interfaces/IWrappedERC20.sol



// SPDX-License-Identifier: GPL-3.0-or-later
pragma solidity >=0.6.10 <0.8.0;

import "@openzeppelin/contracts/token/ERC20/IERC20.sol";

interface IWrappedERC20 is IERC20 {
    function deposit() external payable;

    function withdraw(uint256 wad) external;
}

// File: @openzeppelin/contracts/utils/Address.sol



// SPDX-License-Identifier: MIT

pragma solidity >=0.6.2 <0.8.0;

/**
 * @dev Collection of functions related to the address type
 */
library Address {
    /**
     * @dev Returns true if `account` is a contract.
     *
     * [IMPORTANT]
     * ====
     * It is unsafe to assume that an address for which this function returns
     * false is an externally-owned account (EOA) and not a contract.
     *
     * Among others, `isContract` will return false for the following
     * types of addresses:
     *
     *  - an externally-owned account
     *  - a contract in construction
     *  - an address where a contract will be created
     *  - an address where a contract lived, but was destroyed
     * ====
     */
    function isContract(address account) internal view returns (bool) {
        // This method relies on extcodesize, which returns 0 for contracts in
        // construction, since the code is only stored at the end of the
        // constructor execution.

        uint256 size;
        // solhint-disable-next-line no-inline-assembly
        assembly { size := extcodesize(account) }
        return size > 0;
    }

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

        // solhint-disable-next-line avoid-low-level-calls, avoid-call-value
        (bool success, ) = recipient.call{ value: amount }("");
        require(success, "Address: unable to send value, recipient may have reverted");
    }

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

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

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

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

        // solhint-disable-next-line avoid-low-level-calls
        (bool success, bytes memory returndata) = target.call{ value: value }(data);
        return _verifyCallResult(success, returndata, errorMessage);
    }

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

    /**
     * @dev Same as {xref-Address-functionCall-address-bytes-string-}[`functionCall`],
     * but performing a static call.
     *
     * _Available since v3.3._
     */
    function functionStaticCall(address target, bytes memory data, string memory errorMessage) internal view returns (bytes memory) {
        require(isContract(target), "Address: static call to non-contract");

        // solhint-disable-next-line avoid-low-level-calls
        (bool success, bytes memory returndata) = target.staticcall(data);
        return _verifyCallResult(success, returndata, errorMessage);
    }

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

    /**
     * @dev Same as {xref-Address-functionCall-address-bytes-string-}[`functionCall`],
     * but performing a delegate call.
     *
     * _Available since v3.4._
     */
    function functionDelegateCall(address target, bytes memory data, string memory errorMessage) internal returns (bytes memory) {
        require(isContract(target), "Address: delegate call to non-contract");

        // solhint-disable-next-line avoid-low-level-calls
        (bool success, bytes memory returndata) = target.delegatecall(data);
        return _verifyCallResult(success, returndata, errorMessage);
    }

    function _verifyCallResult(bool success, bytes memory returndata, string memory errorMessage) private pure returns(bytes memory) {
        if (success) {
            return returndata;
        } else {
            // Look for revert reason and bubble it up if present
            if (returndata.length > 0) {
                // The easiest way to bubble the revert reason is using memory via assembly

                // solhint-disable-next-line no-inline-assembly
                assembly {
                    let returndata_size := mload(returndata)
                    revert(add(32, returndata), returndata_size)
                }
            } else {
                revert(errorMessage);
            }
        }
    }
}

// File: @openzeppelin/contracts/utils/Context.sol



// SPDX-License-Identifier: MIT

pragma solidity >=0.6.0 <0.8.0;

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

    function _msgData() internal view virtual returns (bytes memory) {
        this; // silence state mutability warning without generating bytecode - see https://github.com/ethereum/solidity/issues/2691
        return msg.data;
    }
}

// File: @openzeppelin/contracts/token/ERC721/IERC721.sol



// SPDX-License-Identifier: MIT

pragma solidity >=0.6.2 <0.8.0;

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

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

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

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

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

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

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

    /**
     * @dev Transfers `tokenId` token from `from` to `to`.
     *
     * WARNING: Usage of this method is discouraged, use {safeTransferFrom} whenever possible.
     *
     * Requirements:
     *
     * - `from` cannot be the zero address.
     * - `to` cannot be the zero address.
     * - `tokenId` token must be owned by `from`.
     * - If the caller is not `from`, it must be approved to move this token by either {approve} or {setApprovalForAll}.
     *
     * Emits a {Transfer} event.
     */
    function transferFrom(address from, address to, uint256 tokenId) external;

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

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

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

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

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

// File: @openzeppelin/contracts/token/ERC721/IERC721Metadata.sol



// SPDX-License-Identifier: MIT

pragma solidity >=0.6.2 <0.8.0;

import "./IERC721.sol";

/**
 * @title ERC-721 Non-Fungible Token Standard, optional metadata extension
 * @dev See https://eips.ethereum.org/EIPS/eip-721
 */
interface IERC721Metadata is IERC721 {

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

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

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

// File: @openzeppelin/contracts/token/ERC721/IERC721Enumerable.sol



// SPDX-License-Identifier: MIT

pragma solidity >=0.6.2 <0.8.0;

import "./IERC721.sol";

/**
 * @title ERC-721 Non-Fungible Token Standard, optional enumeration extension
 * @dev See https://eips.ethereum.org/EIPS/eip-721
 */
interface IERC721Enumerable is IERC721 {

    /**
     * @dev Returns the total amount of tokens stored by the contract.
     */
    function totalSupply() external view returns (uint256);

    /**
     * @dev Returns a token ID owned by `owner` at a given `index` of its token list.
     * Use along with {balanceOf} to enumerate all of ``owner``'s tokens.
     */
    function tokenOfOwnerByIndex(address owner, uint256 index) external view returns (uint256 tokenId);

    /**
     * @dev Returns a token ID at a given `index` of all the tokens stored by the contract.
     * Use along with {totalSupply} to enumerate all tokens.
     */
    function tokenByIndex(uint256 index) external view returns (uint256);
}

// File: @openzeppelin/contracts/token/ERC721/IERC721Receiver.sol



// SPDX-License-Identifier: MIT

pragma solidity >=0.6.0 <0.8.0;

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

// File: @openzeppelin/contracts/introspection/ERC165.sol



// SPDX-License-Identifier: MIT

pragma solidity >=0.6.0 <0.8.0;

import "./IERC165.sol";

/**
 * @dev Implementation of the {IERC165} interface.
 *
 * Contracts may inherit from this and call {_registerInterface} to declare
 * their support of an interface.
 */
abstract contract ERC165 is IERC165 {
    /*
     * bytes4(keccak256('supportsInterface(bytes4)')) == 0x01ffc9a7
     */
    bytes4 private constant _INTERFACE_ID_ERC165 = 0x01ffc9a7;

    /**
     * @dev Mapping of interface ids to whether or not it's supported.
     */
    mapping(bytes4 => bool) private _supportedInterfaces;

    constructor () internal {
        // Derived contracts need only register support for their own interfaces,
        // we register support for ERC165 itself here
        _registerInterface(_INTERFACE_ID_ERC165);
    }

    /**
     * @dev See {IERC165-supportsInterface}.
     *
     * Time complexity O(1), guaranteed to always use less than 30 000 gas.
     */
    function supportsInterface(bytes4 interfaceId) public view virtual override returns (bool) {
        return _supportedInterfaces[interfaceId];
    }

    /**
     * @dev Registers the contract as an implementer of the interface defined by
     * `interfaceId`. Support of the actual ERC165 interface is automatic and
     * registering its interface id is not required.
     *
     * See {IERC165-supportsInterface}.
     *
     * Requirements:
     *
     * - `interfaceId` cannot be the ERC165 invalid interface (`0xffffffff`).
     */
    function _registerInterface(bytes4 interfaceId) internal virtual {
        require(interfaceId != 0xffffffff, "ERC165: invalid interface id");
        _supportedInterfaces[interfaceId] = true;
    }
}

// File: @openzeppelin/contracts/utils/EnumerableSet.sol



// SPDX-License-Identifier: MIT

pragma solidity >=0.6.0 <0.8.0;

/**
 * @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.
 *
 * ```
 * 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.
 */
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 of the value in the `values` array, plus 1 because index 0
        // means a value is not in the set.
        mapping (bytes32 => uint256) _indexes;
    }

    /**
     * @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._indexes[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 read and store the value's index to prevent multiple reads from the same storage slot
        uint256 valueIndex = set._indexes[value];

        if (valueIndex != 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 toDeleteIndex = valueIndex - 1;
            uint256 lastIndex = set._values.length - 1;

            // When the value to delete is the last one, the swap operation is unnecessary. However, since this occurs
            // so rarely, we still do the swap anyway to avoid the gas cost of adding an 'if' statement.

            bytes32 lastvalue = set._values[lastIndex];

            // Move the last value to the index where the value to delete is
            set._values[toDeleteIndex] = lastvalue;
            // Update the index for the moved value
            set._indexes[lastvalue] = toDeleteIndex + 1; // All indexes are 1-based

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

            // Delete the index for the deleted slot
            delete set._indexes[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._indexes[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) {
        require(set._values.length > index, "EnumerableSet: index out of bounds");
        return set._values[index];
    }

    // 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);
    }

    // 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))));
    }


    // 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 on 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));
    }
}

// File: @openzeppelin/contracts/utils/EnumerableMap.sol



// SPDX-License-Identifier: MIT

pragma solidity >=0.6.0 <0.8.0;

/**
 * @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.
 *
 * ```
 * contract Example {
 *     // Add the library methods
 *     using EnumerableMap for EnumerableMap.UintToAddressMap;
 *
 *     // Declare a set state variable
 *     EnumerableMap.UintToAddressMap private myMap;
 * }
 * ```
 *
 * As of v3.0.0, only maps of type `uint256 -> address` (`UintToAddressMap`) are
 * supported.
 */
library EnumerableMap {
    // 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 Uint256ToAddressMap) are just wrappers around
    // the underlying Map.
    // This means that we can only create new EnumerableMaps for types that fit
    // in bytes32.

    struct MapEntry {
        bytes32 _key;
        bytes32 _value;
    }

    struct Map {
        // Storage of map keys and values
        MapEntry[] _entries;

        // Position of the entry defined by a key in the `entries` array, plus 1
        // because index 0 means a key is not in the map.
        mapping (bytes32 => uint256) _indexes;
    }

    /**
     * @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(Map storage map, bytes32 key, bytes32 value) private returns (bool) {
        // We read and store the key's index to prevent multiple reads from the same storage slot
        uint256 keyIndex = map._indexes[key];

        if (keyIndex == 0) { // Equivalent to !contains(map, key)
            map._entries.push(MapEntry({ _key: key, _value: value }));
            // The entry is stored at length-1, but we add 1 to all indexes
            // and use 0 as a sentinel value
            map._indexes[key] = map._entries.length;
            return true;
        } else {
            map._entries[keyIndex - 1]._value = value;
            return false;
        }
    }

    /**
     * @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(Map storage map, bytes32 key) private returns (bool) {
        // We read and store the key's index to prevent multiple reads from the same storage slot
        uint256 keyIndex = map._indexes[key];

        if (keyIndex != 0) { // Equivalent to contains(map, key)
            // To delete a key-value pair from the _entries array in O(1), we swap the entry to delete with the last one
            // in the array, and then remove the last entry (sometimes called as 'swap and pop').
            // This modifies the order of the array, as noted in {at}.

            uint256 toDeleteIndex = keyIndex - 1;
            uint256 lastIndex = map._entries.length - 1;

            // When the entry to delete is the last one, the swap operation is unnecessary. However, since this occurs
            // so rarely, we still do the swap anyway to avoid the gas cost of adding an 'if' statement.

            MapEntry storage lastEntry = map._entries[lastIndex];

            // Move the last entry to the index where the entry to delete is
            map._entries[toDeleteIndex] = lastEntry;
            // Update the index for the moved entry
            map._indexes[lastEntry._key] = toDeleteIndex + 1; // All indexes are 1-based

            // Delete the slot where the moved entry was stored
            map._entries.pop();

            // Delete the index for the deleted slot
            delete map._indexes[key];

            return true;
        } else {
            return false;
        }
    }

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

    /**
     * @dev Returns the number of key-value pairs in the map. O(1).
     */
    function _length(Map storage map) private view returns (uint256) {
        return map._entries.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(Map storage map, uint256 index) private view returns (bytes32, bytes32) {
        require(map._entries.length > index, "EnumerableMap: index out of bounds");

        MapEntry storage entry = map._entries[index];
        return (entry._key, entry._value);
    }

    /**
     * @dev Tries to returns the value associated with `key`.  O(1).
     * Does not revert if `key` is not in the map.
     */
    function _tryGet(Map storage map, bytes32 key) private view returns (bool, bytes32) {
        uint256 keyIndex = map._indexes[key];
        if (keyIndex == 0) return (false, 0); // Equivalent to contains(map, key)
        return (true, map._entries[keyIndex - 1]._value); // All indexes are 1-based
    }

    /**
     * @dev Returns the value associated with `key`.  O(1).
     *
     * Requirements:
     *
     * - `key` must be in the map.
     */
    function _get(Map storage map, bytes32 key) private view returns (bytes32) {
        uint256 keyIndex = map._indexes[key];
        require(keyIndex != 0, "EnumerableMap: nonexistent key"); // Equivalent to contains(map, key)
        return map._entries[keyIndex - 1]._value; // All indexes are 1-based
    }

    /**
     * @dev Same as {_get}, with a custom error message when `key` is not in the map.
     *
     * CAUTION: This function is deprecated because it requires allocating memory for the error
     * message unnecessarily. For custom revert reasons use {_tryGet}.
     */
    function _get(Map storage map, bytes32 key, string memory errorMessage) private view returns (bytes32) {
        uint256 keyIndex = map._indexes[key];
        require(keyIndex != 0, errorMessage); // Equivalent to contains(map, key)
        return map._entries[keyIndex - 1]._value; // All indexes are 1-based
    }

    // UintToAddressMap

    struct UintToAddressMap {
        Map _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 set. 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 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(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.
     *
     * _Available since v3.4._
     */
    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 Same as {get}, with a custom error message when `key` is not in the map.
     *
     * CAUTION: This function is deprecated because it requires allocating memory for the error
     * message unnecessarily. For custom revert reasons use {tryGet}.
     */
    function get(UintToAddressMap storage map, uint256 key, string memory errorMessage) internal view returns (address) {
        return address(uint160(uint256(_get(map._inner, bytes32(key), errorMessage))));
    }
}

// File: @openzeppelin/contracts/utils/Strings.sol



// SPDX-License-Identifier: MIT

pragma solidity >=0.6.0 <0.8.0;

/**
 * @dev String operations.
 */
library Strings {
    /**
     * @dev Converts a `uint256` to its ASCII `string` representation.
     */
    function toString(uint256 value) internal pure returns (string memory) {
        // Inspired by OraclizeAPI's implementation - MIT licence
        // https://github.com/oraclize/ethereum-api/blob/b42146b063c7d6ee1358846c198246239e9360e8/oraclizeAPI_0.4.25.sol

        if (value == 0) {
            return "0";
        }
        uint256 temp = value;
        uint256 digits;
        while (temp != 0) {
            digits++;
            temp /= 10;
        }
        bytes memory buffer = new bytes(digits);
        uint256 index = digits - 1;
        temp = value;
        while (temp != 0) {
            buffer[index--] = bytes1(uint8(48 + temp % 10));
            temp /= 10;
        }
        return string(buffer);
    }
}

// File: @openzeppelin/contracts/introspection/IERC165.sol



// SPDX-License-Identifier: MIT

pragma solidity >=0.6.0 <0.8.0;

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

// File: contracts/interfaces/IFundV3.sol



// SPDX-License-Identifier: GPL-3.0-or-later
pragma solidity >=0.6.10 <0.8.0;
pragma experimental ABIEncoderV2;

import "./ITwapOracleV2.sol";

interface IFundV3 {
    /// @notice A linear transformation matrix that represents a rebalance.
    ///
    ///         ```
    ///             [        1        0        0 ]
    ///         R = [ ratioB2Q  ratioBR        0 ]
    ///             [ ratioR2Q        0  ratioBR ]
    ///         ```
    ///
    ///         Amounts of the three tranches `q`, `b` and `r` can be rebalanced by multiplying the matrix:
    ///
    ///         ```
    ///         [ q', b', r' ] = [ q, b, r ] * R
    ///         ```
    struct Rebalance {
        uint256 ratioB2Q;
        uint256 ratioR2Q;
        uint256 ratioBR;
        uint256 timestamp;
    }

    function tokenUnderlying() external view returns (address);

    function tokenQ() external view returns (address);

    function tokenB() external view returns (address);

    function tokenR() external view returns (address);

    function tokenShare(uint256 tranche) external view returns (address);

    function primaryMarket() external view returns (address);

    function primaryMarketUpdateProposal() external view returns (address, uint256);

    function strategy() external view returns (address);

    function strategyUpdateProposal() external view returns (address, uint256);

    function underlyingDecimalMultiplier() external view returns (uint256);

    function twapOracle() external view returns (ITwapOracleV2);

    function feeCollector() external view returns (address);

    function endOfDay(uint256 timestamp) external pure returns (uint256);

    function trancheTotalSupply(uint256 tranche) external view returns (uint256);

    function trancheBalanceOf(uint256 tranche, address account) external view returns (uint256);

    function trancheAllBalanceOf(address account)
        external
        view
        returns (
            uint256,
            uint256,
            uint256
        );

    function trancheBalanceVersion(address account) external view returns (uint256);

    function trancheAllowance(
        uint256 tranche,
        address owner,
        address spender
    ) external view returns (uint256);

    function trancheAllowanceVersion(address owner, address spender)
        external
        view
        returns (uint256);

    function trancheTransfer(
        uint256 tranche,
        address recipient,
        uint256 amount,
        uint256 version
    ) external;

    function trancheTransferFrom(
        uint256 tranche,
        address sender,
        address recipient,
        uint256 amount,
        uint256 version
    ) external;

    function trancheApprove(
        uint256 tranche,
        address spender,
        uint256 amount,
        uint256 version
    ) external;

    function getRebalanceSize() external view returns (uint256);

    function getRebalance(uint256 index) external view returns (Rebalance memory);

    function getRebalanceTimestamp(uint256 index) external view returns (uint256);

    function currentDay() external view returns (uint256);

    function splitRatio() external view returns (uint256);

    function historicalSplitRatio(uint256 version) external view returns (uint256);

    function fundActivityStartTime() external view returns (uint256);

    function isFundActive(uint256 timestamp) external view returns (bool);

    function getEquivalentTotalB() external view returns (uint256);

    function getEquivalentTotalQ() external view returns (uint256);

    function historicalEquivalentTotalB(uint256 timestamp) external view returns (uint256);

    function historicalNavs(uint256 timestamp) external view returns (uint256 navB, uint256 navR);

    function extrapolateNav(uint256 price)
        external
        view
        returns (
            uint256,
            uint256,
            uint256
        );

    function doRebalance(
        uint256 amountQ,
        uint256 amountB,
        uint256 amountR,
        uint256 index
    )
        external
        view
        returns (
            uint256 newAmountQ,
            uint256 newAmountB,
            uint256 newAmountR
        );

    function batchRebalance(
        uint256 amountQ,
        uint256 amountB,
        uint256 amountR,
        uint256 fromIndex,
        uint256 toIndex
    )
        external
        view
        returns (
            uint256 newAmountQ,
            uint256 newAmountB,
            uint256 newAmountR
        );

    function refreshBalance(address account, uint256 targetVersion) external;

    function refreshAllowance(
        address owner,
        address spender,
        uint256 targetVersion
    ) external;

    function shareTransfer(
        address sender,
        address recipient,
        uint256 amount
    ) external;

    function shareTransferFrom(
        address spender,
        address sender,
        address recipient,
        uint256 amount
    ) external returns (uint256 newAllowance);

    function shareIncreaseAllowance(
        address sender,
        address spender,
        uint256 addedValue
    ) external returns (uint256 newAllowance);

    function shareDecreaseAllowance(
        address sender,
        address spender,
        uint256 subtractedValue
    ) external returns (uint256 newAllowance);

    function shareApprove(
        address owner,
        address spender,
        uint256 amount
    ) external;

    function historicalUnderlying(uint256 timestamp) external view returns (uint256);

    function getTotalUnderlying() external view returns (uint256);

    function getStrategyUnderlying() external view returns (uint256);

    function getTotalDebt() external view returns (uint256);

    event RebalanceTriggered(
        uint256 indexed index,
        uint256 indexed day,
        uint256 navSum,
        uint256 navB,
        uint256 navROrZero,
        uint256 ratioB2Q,
        uint256 ratioR2Q,
        uint256 ratioBR
    );
    event Settled(uint256 indexed day, uint256 navB, uint256 navR, uint256 interestRate);
    event InterestRateUpdated(uint256 baseInterestRate, uint256 floatingInterestRate);
    event BalancesRebalanced(
        address indexed account,
        uint256 version,
        uint256 balanceQ,
        uint256 balanceB,
        uint256 balanceR
    );
    event AllowancesRebalanced(
        address indexed owner,
        address indexed spender,
        uint256 version,
        uint256 allowanceQ,
        uint256 allowanceB,
        uint256 allowanceR
    );
}

// File: contracts/interfaces/ITwapOracleV2.sol



// SPDX-License-Identifier: GPL-3.0-or-later
pragma solidity >=0.6.10 <0.8.0;

import "./ITwapOracle.sol";

interface ITwapOracleV2 is ITwapOracle {
    function getLatest() external view returns (uint256);
}

// File: contracts/interfaces/ITwapOracle.sol



// SPDX-License-Identifier: GPL-3.0-or-later
pragma solidity >=0.6.10 <0.8.0;

interface ITwapOracle {
    enum UpdateType {PRIMARY, SECONDARY, OWNER, CHAINLINK, UNISWAP_V2}

    function getTwap(uint256 timestamp) external view returns (uint256);
}