// SPDX-License-Identifier: MIT
pragma solidity ^0.8.13;

// This file is auto-generated.

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

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

using LibBytes for BytesStorage global;

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

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

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

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

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

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

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

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

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

    /// @dev Returns the uint8 at index `i`. If out-of-bounds, returns 0.
    function uint8At(BytesStorage storage $, uint256 i) internal view returns (uint8 result) {
        /// @solidity memory-safe-assembly
        assembly {
            for { let packed := sload($.slot) } 1 {} {
                if iszero(eq(or(packed, 0xff), packed)) {
                    if iszero(gt(i, 0x1e)) {
                        result := byte(i, packed)
                        break
                    }
                    if iszero(gt(i, and(0xff, packed))) {
                        mstore(0x00, $.slot)
                        let j := sub(i, 0x1f)
                        result := byte(and(j, 0x1f), sload(add(keccak256(0x00, 0x20), shr(5, j))))
                    }
                    break
                }
                if iszero(gt(i, shr(8, packed))) {
                    mstore(0x00, $.slot)
                    result := byte(and(i, 0x1f), sload(add(keccak256(0x00, 0x20), shr(5, i))))
                }
                break
            }
        }
    }

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

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

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

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

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

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

    /// @dev Returns the byte index of the first location of `needle` in `subject`,
    /// needleing from left to right, starting from `from`. Optimized for byte needles.
    /// Returns `NOT_FOUND` (i.e. `type(uint256).max`) if the `needle` is not found.
    function indexOfByte(bytes memory subject, bytes1 needle, uint256 from)
        internal
        pure
        returns (uint256 result)
    {
        /// @solidity memory-safe-assembly
        assembly {
            result := not(0) // Initialize to `NOT_FOUND`.
            if gt(mload(subject), from) {
                let start := add(subject, 0x20)
                let end := add(start, mload(subject))
                let m := div(not(0), 255) // `0x0101 ... `.
                let h := mul(byte(0, needle), m) // Replicating needle mask.
                m := not(shl(7, m)) // `0x7f7f ... `.
                for { let i := add(start, from) } 1 {} {
                    let c := xor(mload(i), h) // Load 32-byte chunk and xor with mask.
                    c := not(or(or(add(and(c, m), m), c), m)) // Each needle byte will be `0x80`.
                    if c {
                        c := and(not(shr(shl(3, sub(end, i)), not(0))), c) // Truncate bytes past the end.
                        if c {
                            let r := shl(7, lt(0x8421084210842108cc6318c6db6d54be, c)) // Save bytecode.
                            r := or(shl(6, lt(0xffffffffffffffff, shr(r, c))), r)
                            // forgefmt: disable-next-item
                            result := add(sub(i, start), shr(3, xor(byte(and(0x1f, shr(byte(24,
                                mul(0x02040810204081, shr(r, c))), 0x8421084210842108cc6318c6db6d54be)),
                                0xc0c8c8d0c8e8d0d8c8e8e0e8d0d8e0f0c8d0e8d0e0e0d8f0d0d0e0d8f8f8f8f8), r)))
                            break
                        }
                    }
                    i := add(i, 0x20)
                    if iszero(lt(i, end)) { break }
                }
            }
        }
    }

    /// @dev Returns the byte index of the first location of `needle` in `subject`,
    /// needleing from left to right. Optimized for byte needles.
    /// Returns `NOT_FOUND` (i.e. `type(uint256).max`) if the `needle` is not found.
    function indexOfByte(bytes memory subject, bytes1 needle)
        internal
        pure
        returns (uint256 result)
    {
        return indexOfByte(subject, needle, 0);
    }

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

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

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

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

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

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

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

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

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

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

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

    /// @dev Returns a copy of `subject` sliced from `start` to `end` (exclusive).
    /// `start` and `end` are byte offsets. Faster than Solidity's native slicing.
    function sliceCalldata(bytes calldata subject, uint256 start, uint256 end)
        internal
        pure
        returns (bytes calldata result)
    {
        /// @solidity memory-safe-assembly
        assembly {
            end := xor(end, mul(xor(end, subject.length), lt(subject.length, end)))
            start := xor(start, mul(xor(start, subject.length), lt(subject.length, start)))
            result.offset := add(subject.offset, start)
            result.length := mul(lt(start, end), sub(end, start))
        }
    }

    /// @dev Returns a copy of `subject` sliced from `start` to the end of the bytes.
    /// `start` is a byte offset. Faster than Solidity's native slicing.
    function sliceCalldata(bytes calldata subject, uint256 start)
        internal
        pure
        returns (bytes calldata result)
    {
        /// @solidity memory-safe-assembly
        assembly {
            start := xor(start, mul(xor(start, subject.length), lt(subject.length, start)))
            result.offset := add(subject.offset, start)
            result.length := mul(lt(start, subject.length), sub(subject.length, start))
        }
    }

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

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

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

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

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

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

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

    /// @dev Returns 0 if `a == b`, -1 if `a < b`, +1 if `a > b`.
    /// If `a` == b[:a.length]`, and `a.length < b.length`, returns -1.
    function cmp(bytes memory a, bytes memory b) internal pure returns (int256 result) {
        /// @solidity memory-safe-assembly
        assembly {
            let aLen := mload(a)
            let bLen := mload(b)
            let n := and(xor(aLen, mul(xor(aLen, bLen), lt(bLen, aLen))), not(0x1f))
            if n {
                for { let i := 0x20 } 1 {} {
                    let x := mload(add(a, i))
                    let y := mload(add(b, i))
                    if iszero(or(xor(x, y), eq(i, n))) {
                        i := add(i, 0x20)
                        continue
                    }
                    result := sub(gt(x, y), lt(x, y))
                    break
                }
            }
            // forgefmt: disable-next-item
            if iszero(result) {
                let l := 0x201f1e1d1c1b1a191817161514131211100f0e0d0c0b0a090807060504030201
                let x := and(mload(add(add(a, 0x20), n)), shl(shl(3, byte(sub(aLen, n), l)), not(0)))
                let y := and(mload(add(add(b, 0x20), n)), shl(shl(3, byte(sub(bLen, n), l)), not(0)))
                result := sub(gt(x, y), lt(x, y))
                if iszero(result) { result := sub(gt(aLen, bLen), lt(aLen, bLen)) }
            }
        }
    }

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

    /// @dev Directly returns `a` with minimal copying.
    function directReturn(bytes[] memory a) internal pure {
        /// @solidity memory-safe-assembly
        assembly {
            let n := mload(a) // `a.length`.
            let o := add(a, 0x20) // Start of elements in `a`.
            let u := a // Highest memory slot.
            let w := not(0x1f)
            for { let i := 0 } iszero(eq(i, n)) { i := add(i, 1) } {
                let c := add(o, shl(5, i)) // Location of pointer to `a[i]`.
                let s := mload(c) // `a[i]`.
                let l := mload(s) // `a[i].length`.
                let r := and(l, 0x1f) // `a[i].length % 32`.
                let z := add(0x20, and(l, w)) // Offset of last word in `a[i]` from `s`.
                // If `s` comes before `o`, or `s` is not zero right padded.
                if iszero(lt(lt(s, o), or(iszero(r), iszero(shl(shl(3, r), mload(add(s, z))))))) {
                    let m := mload(0x40)
                    mstore(m, l) // Copy `a[i].length`.
                    for {} 1 {} {
                        mstore(add(m, z), mload(add(s, z))) // Copy `a[i]`, backwards.
                        z := add(z, w) // `sub(z, 0x20)`.
                        if iszero(z) { break }
                    }
                    let e := add(add(m, 0x20), l)
                    mstore(e, 0) // Zeroize the slot after the copied bytes.
                    mstore(0x40, add(e, 0x20)) // Allocate memory.
                    s := m
                }
                mstore(c, sub(s, o)) // Convert to calldata offset.
                let t := add(l, add(s, 0x20))
                if iszero(lt(t, u)) { u := t }
            }
            let retStart := add(a, w) // Assumes `a` doesn't start from scratch space.
            mstore(retStart, 0x20) // Store the return offset.
            return(retStart, add(0x40, sub(u, retStart))) // End the transaction.
        }
    }

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

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

    /// @dev Returns a slice representing a static struct in the calldata. Performs bounds checks.
    function staticStructInCalldata(bytes calldata a, uint256 offset)
        internal
        pure
        returns (bytes calldata result)
    {
        /// @solidity memory-safe-assembly
        assembly {
            let l := sub(a.length, 0x20)
            result.offset := add(a.offset, offset)
            result.length := sub(a.length, offset)
            if or(shr(64, or(l, a.offset)), gt(offset, l)) { revert(l, 0x00) }
        }
    }

    /// @dev Returns a slice representing a dynamic struct in the calldata. Performs bounds checks.
    function dynamicStructInCalldata(bytes calldata a, uint256 offset)
        internal
        pure
        returns (bytes calldata result)
    {
        /// @solidity memory-safe-assembly
        assembly {
            let l := sub(a.length, 0x20)
            let s := calldataload(add(a.offset, offset)) // Relative offset of `result` from `a.offset`.
            result.offset := add(a.offset, s)
            result.length := sub(a.length, s)
            if or(shr(64, or(s, or(l, a.offset))), gt(offset, l)) { revert(l, 0x00) }
        }
    }

    /// @dev Returns bytes in calldata. Performs bounds checks.
    function bytesInCalldata(bytes calldata a, uint256 offset)
        internal
        pure
        returns (bytes calldata result)
    {
        /// @solidity memory-safe-assembly
        assembly {
            let l := sub(a.length, 0x20)
            let s := calldataload(add(a.offset, offset)) // Relative offset of `result` from `a.offset`.
            result.offset := add(add(a.offset, s), 0x20)
            result.length := calldataload(add(a.offset, s))
            // forgefmt: disable-next-item
            if or(shr(64, or(result.length, or(s, or(l, a.offset)))),
                or(gt(add(s, result.length), l), gt(offset, l))) { revert(l, 0x00) }
        }
    }

    /// @dev Checks if `x` is in `a`. Assumes `a` has been checked.
    function checkInCalldata(bytes calldata x, bytes calldata a) internal pure {
        /// @solidity memory-safe-assembly
        assembly {
            if or(
                or(lt(x.offset, a.offset), gt(add(x.offset, x.length), add(a.length, a.offset))),
                shr(64, or(x.length, x.offset))
            ) { revert(0x00, 0x00) }
        }
    }

    /// @dev Checks if `x` is in `a`. Assumes `a` has been checked.
    function checkInCalldata(bytes[] calldata x, bytes calldata a) internal pure {
        /// @solidity memory-safe-assembly
        assembly {
            let e := sub(add(a.length, a.offset), 0x20)
            if or(lt(x.offset, a.offset), shr(64, x.offset)) { revert(0x00, 0x00) }
            for { let i := 0 } iszero(eq(x.length, i)) { i := add(i, 1) } {
                let o := calldataload(add(x.offset, shl(5, i)))
                let t := add(o, x.offset)
                let l := calldataload(t)
                if or(shr(64, or(l, o)), gt(add(t, l), e)) { revert(0x00, 0x00) }
            }
        }
    }

    /// @dev Returns empty calldata bytes. For silencing the compiler.
    function emptyCalldata() internal pure returns (bytes calldata result) {
        /// @solidity memory-safe-assembly
        assembly {
            result.length := 0
        }
    }

    /// @dev Returns the most significant 20 bytes as an address.
    function msbToAddress(bytes32 x) internal pure returns (address) {
        return address(bytes20(x));
    }

    /// @dev Returns the least significant 20 bytes as an address.
    function lsbToAddress(bytes32 x) internal pure returns (address) {
        return address(uint160(uint256(x)));
    }
}