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// SPDX-License-Identifier: GPL-3.0-only
// ██████████████     ▐████▌     ██████████████
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pragma solidity 0.8.17;
import "@openzeppelin/contracts/access/Ownable.sol";
import "./IVault.sol";
import "./TBTCOptimisticMinting.sol";
import "../bank/Bank.sol";
import "../token/TBTC.sol";
/// @title TBTC application vault
/// @notice TBTC is a fully Bitcoin-backed ERC-20 token pegged to the price of
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pragma solidity ^0.8.4;
/** @title BitcoinSPV */
/** @author Summa (https://summa.one) */
import {BytesLib} from "./BytesLib.sol";
import {SafeMath} from "./SafeMath.sol";
library BTCUtils {
    using BytesLib for bytes;
    using SafeMath for uint256;
    // The target at minimum Difficulty. Also the target of the genesis block
    uint256 public constant DIFF1_TARGET = 0xffff0000000000000000000000000000000000000000000000000000;
    uint256 public constant RETARGET_PERIOD = 2 * 7 * 24 * 60 * 60;  // 2 weeks in seconds
    uint256 public constant RETARGET_PERIOD_BLOCKS = 2016;  // 2 weeks in blocks
    uint256 public constant ERR_BAD_ARG = 0xffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff;
    /* ***** */
    /* UTILS */
    /* ***** */
    /// @notice         Determines the length of a VarInt in bytes
    /// @dev            A VarInt of >1 byte is prefixed with a flag indicating its length
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pragma solidity ^0.8.4;
/*
https://github.com/GNSPS/solidity-bytes-utils/
This is free and unencumbered software released into the public domain.
Anyone is free to copy, modify, publish, use, compile, sell, or
distribute this software, either in source code form or as a compiled
binary, for any purpose, commercial or non-commercial, and by any
means.
In jurisdictions that recognize copyright laws, the author or authors
of this software dedicate any and all copyright interest in the
software to the public domain. We make this dedication for the benefit
of the public at large and to the detriment of our heirs and
successors. We intend this dedication to be an overt act of
relinquishment in perpetuity of all present and future rights to this
software under copyright law.
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 BE LIABLE FOR ANY CLAIM, DAMAGES OR
OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE,
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pragma solidity ^0.8.4;
/** @title CheckBitcoinSigs */
/** @author Summa (https://summa.one) */
import {BytesLib} from "./BytesLib.sol";
import {BTCUtils} from "./BTCUtils.sol";
library CheckBitcoinSigs {
    using BytesLib for bytes;
    using BTCUtils for bytes;
    /// @notice          Derives an Ethereum Account address from a pubkey
    /// @dev             The address is the last 20 bytes of the keccak256 of the address
    /// @param _pubkey   The public key X & Y. Unprefixed, as a 64-byte array
    /// @return          The account address
    function accountFromPubkey(bytes memory _pubkey) internal pure returns (address) {
        require(_pubkey.length == 64, "Pubkey must be 64-byte raw, uncompressed key.");
        // keccak hash of uncompressed unprefixed pubkey
        bytes32 _digest = keccak256(_pubkey);
        return address(uint160(uint256(_digest)));
    }
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pragma solidity ^0.8.4;
/*
The MIT License (MIT)
Copyright (c) 2016 Smart Contract Solutions, Inc.
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.
*/
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pragma solidity ^0.8.4;
/** @title ValidateSPV*/
/** @author Summa (https://summa.one) */
import {BytesLib} from "./BytesLib.sol";
import {SafeMath} from "./SafeMath.sol";
import {BTCUtils} from "./BTCUtils.sol";
library ValidateSPV {
    using BTCUtils for bytes;
    using BTCUtils for uint256;
    using BytesLib for bytes;
    using SafeMath for uint256;
    enum InputTypes { NONE, LEGACY, COMPATIBILITY, WITNESS }
    enum OutputTypes { NONE, WPKH, WSH, OP_RETURN, PKH, SH, NONSTANDARD }
    uint256 constant ERR_BAD_LENGTH = 0xffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff;
    uint256 constant ERR_INVALID_CHAIN = 0xfffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffe;
    uint256 constant ERR_LOW_WORK = 0xfffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffd;
    function getErrBadLength() internal pure returns (uint256) {
        return ERR_BAD_LENGTH;
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// SPDX-License-Identifier: GPL-3.0-only
//
// ▓▓▌ ▓▓ ▐▓▓ ▓▓▓▓▓▓▓▓▓▓▌▐▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓ ▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓ ▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▄
// ▓▓▓▓▓▓▓▓▓▓ ▓▓▓▓▓▓▓▓▓▓▌▐▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓ ▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓ ▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓
//   ▓▓▓▓▓▓    ▓▓▓▓▓▓▓▀    ▐▓▓▓▓▓▓    ▐▓▓▓▓▓   ▓▓▓▓▓▓     ▓▓▓▓▓   ▐▓▓▓▓▓▌   ▐▓▓▓▓▓▓
//   ▓▓▓▓▓▓▄▄▓▓▓▓▓▓▓▀      ▐▓▓▓▓▓▓▄▄▄▄         ▓▓▓▓▓▓▄▄▄▄         ▐▓▓▓▓▓▌   ▐▓▓▓▓▓▓
//   ▓▓▓▓▓▓▓▓▓▓▓▓▓▀        ▐▓▓▓▓▓▓▓▓▓▓         ▓▓▓▓▓▓▓▓▓▓         ▐▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓
//   ▓▓▓▓▓▓▀▀▓▓▓▓▓▓▄       ▐▓▓▓▓▓▓▀▀▀▀         ▓▓▓▓▓▓▀▀▀▀         ▐▓▓▓▓▓▓▓▓▓▓▓▓▓▓▀
//   ▓▓▓▓▓▓   ▀▓▓▓▓▓▓▄     ▐▓▓▓▓▓▓     ▓▓▓▓▓   ▓▓▓▓▓▓     ▓▓▓▓▓   ▐▓▓▓▓▓▌
// ▓▓▓▓▓▓▓▓▓▓ █▓▓▓▓▓▓▓▓▓ ▐▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓ ▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓  ▓▓▓▓▓▓▓▓▓▓
// ▓▓▓▓▓▓▓▓▓▓ ▓▓▓▓▓▓▓▓▓▓ ▐▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓ ▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓  ▓▓▓▓▓▓▓▓▓▓
//
//                           Trust math, not hardware.
pragma solidity 0.8.17;
interface IWalletOwner {
    /// @notice Callback function executed once a new wallet is created.
    /// @dev Should be callable only by the Wallet Registry.
    /// @param walletID Wallet's unique identifier.
    /// @param publicKeyY Wallet's public key's X coordinate.
    /// @param publicKeyY Wallet's public key's Y coordinate.
    function __ecdsaWalletCreatedCallback(
        bytes32 walletID,
        bytes32 publicKeyX,
        bytes32 publicKeyY
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// SPDX-License-Identifier: GPL-3.0-only
//
// ▓▓▌ ▓▓ ▐▓▓ ▓▓▓▓▓▓▓▓▓▓▌▐▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓ ▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓ ▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▄
// ▓▓▓▓▓▓▓▓▓▓ ▓▓▓▓▓▓▓▓▓▓▌▐▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓ ▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓ ▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓
//   ▓▓▓▓▓▓    ▓▓▓▓▓▓▓▀    ▐▓▓▓▓▓▓    ▐▓▓▓▓▓   ▓▓▓▓▓▓     ▓▓▓▓▓   ▐▓▓▓▓▓▌   ▐▓▓▓▓▓▓
//   ▓▓▓▓▓▓▄▄▓▓▓▓▓▓▓▀      ▐▓▓▓▓▓▓▄▄▄▄         ▓▓▓▓▓▓▄▄▄▄         ▐▓▓▓▓▓▌   ▐▓▓▓▓▓▓
//   ▓▓▓▓▓▓▓▓▓▓▓▓▓▀        ▐▓▓▓▓▓▓▓▓▓▓         ▓▓▓▓▓▓▓▓▓▓         ▐▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓
//   ▓▓▓▓▓▓▀▀▓▓▓▓▓▓▄       ▐▓▓▓▓▓▓▀▀▀▀         ▓▓▓▓▓▓▀▀▀▀         ▐▓▓▓▓▓▓▓▓▓▓▓▓▓▓▀
//   ▓▓▓▓▓▓   ▀▓▓▓▓▓▓▄     ▐▓▓▓▓▓▓     ▓▓▓▓▓   ▓▓▓▓▓▓     ▓▓▓▓▓   ▐▓▓▓▓▓▌
// ▓▓▓▓▓▓▓▓▓▓ █▓▓▓▓▓▓▓▓▓ ▐▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓ ▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓  ▓▓▓▓▓▓▓▓▓▓
// ▓▓▓▓▓▓▓▓▓▓ ▓▓▓▓▓▓▓▓▓▓ ▐▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓ ▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓  ▓▓▓▓▓▓▓▓▓▓
//
//                           Trust math, not hardware.
pragma solidity 0.8.17;
import "../libraries/EcdsaDkg.sol";
interface IWalletRegistry {
    /// @notice Requests a new wallet creation.
    /// @dev Only the Wallet Owner can call this function.
    function requestNewWallet() external;
    /// @notice Closes an existing wallet.
    /// @param walletID ID of the wallet.
    /// @dev Only the Wallet Owner can call this function.
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// SPDX-License-Identifier: GPL-3.0-only
//
// ▓▓▌ ▓▓ ▐▓▓ ▓▓▓▓▓▓▓▓▓▓▌▐▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓ ▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓ ▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▄
// ▓▓▓▓▓▓▓▓▓▓ ▓▓▓▓▓▓▓▓▓▓▌▐▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓ ▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓ ▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓
//   ▓▓▓▓▓▓    ▓▓▓▓▓▓▓▀    ▐▓▓▓▓▓▓    ▐▓▓▓▓▓   ▓▓▓▓▓▓     ▓▓▓▓▓   ▐▓▓▓▓▓▌   ▐▓▓▓▓▓▓
//   ▓▓▓▓▓▓▄▄▓▓▓▓▓▓▓▀      ▐▓▓▓▓▓▓▄▄▄▄         ▓▓▓▓▓▓▄▄▄▄         ▐▓▓▓▓▓▌   ▐▓▓▓▓▓▓
//   ▓▓▓▓▓▓▓▓▓▓▓▓▓▀        ▐▓▓▓▓▓▓▓▓▓▓         ▓▓▓▓▓▓▓▓▓▓         ▐▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓
//   ▓▓▓▓▓▓▀▀▓▓▓▓▓▓▄       ▐▓▓▓▓▓▓▀▀▀▀         ▓▓▓▓▓▓▀▀▀▀         ▐▓▓▓▓▓▓▓▓▓▓▓▓▓▓▀
//   ▓▓▓▓▓▓   ▀▓▓▓▓▓▓▄     ▐▓▓▓▓▓▓     ▓▓▓▓▓   ▓▓▓▓▓▓     ▓▓▓▓▓   ▐▓▓▓▓▓▌
// ▓▓▓▓▓▓▓▓▓▓ █▓▓▓▓▓▓▓▓▓ ▐▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓ ▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓  ▓▓▓▓▓▓▓▓▓▓
// ▓▓▓▓▓▓▓▓▓▓ ▓▓▓▓▓▓▓▓▓▓ ▐▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓ ▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓  ▓▓▓▓▓▓▓▓▓▓
//
//                           Trust math, not hardware.
// Initial version copied from Keep Network Random Beacon:
// https://github.com/keep-network/keep-core/blob/5138c7628868dbeed3ae2164f76fccc6c1fbb9e8/solidity/random-beacon/contracts/DKGValidator.sol
//
// With the following differences:
// - group public key length,
// - group size and related thresholds,
// - documentation.
pragma solidity 0.8.17;
import "@openzeppelin/contracts/utils/cryptography/ECDSA.sol";
import "@keep-network/random-beacon/contracts/libraries/BytesLib.sol";
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// SPDX-License-Identifier: GPL-3.0-only
//
// ▓▓▌ ▓▓ ▐▓▓ ▓▓▓▓▓▓▓▓▓▓▌▐▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓ ▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓ ▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▄
// ▓▓▓▓▓▓▓▓▓▓ ▓▓▓▓▓▓▓▓▓▓▌▐▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓ ▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓ ▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓
//   ▓▓▓▓▓▓    ▓▓▓▓▓▓▓▀    ▐▓▓▓▓▓▓    ▐▓▓▓▓▓   ▓▓▓▓▓▓     ▓▓▓▓▓   ▐▓▓▓▓▓▌   ▐▓▓▓▓▓▓
//   ▓▓▓▓▓▓▄▄▓▓▓▓▓▓▓▀      ▐▓▓▓▓▓▓▄▄▄▄         ▓▓▓▓▓▓▄▄▄▄         ▐▓▓▓▓▓▌   ▐▓▓▓▓▓▓
//   ▓▓▓▓▓▓▓▓▓▓▓▓▓▀        ▐▓▓▓▓▓▓▓▓▓▓         ▓▓▓▓▓▓▓▓▓▓         ▐▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓
//   ▓▓▓▓▓▓▀▀▓▓▓▓▓▓▄       ▐▓▓▓▓▓▓▀▀▀▀         ▓▓▓▓▓▓▀▀▀▀         ▐▓▓▓▓▓▓▓▓▓▓▓▓▓▓▀
//   ▓▓▓▓▓▓   ▀▓▓▓▓▓▓▄     ▐▓▓▓▓▓▓     ▓▓▓▓▓   ▓▓▓▓▓▓     ▓▓▓▓▓   ▐▓▓▓▓▓▌
// ▓▓▓▓▓▓▓▓▓▓ █▓▓▓▓▓▓▓▓▓ ▐▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓ ▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓  ▓▓▓▓▓▓▓▓▓▓
// ▓▓▓▓▓▓▓▓▓▓ ▓▓▓▓▓▓▓▓▓▓ ▐▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓ ▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓  ▓▓▓▓▓▓▓▓▓▓
//
//
// Initial version copied from Keep Network Random Beacon:
// https://github.com/keep-network/keep-core/blob/5138c7628868dbeed3ae2164f76fccc6c1fbb9e8/solidity/random-beacon/contracts/libraries/DKG.sol
//
// With the following differences:
// - the group size was set to 100,
// - offchainDkgTimeout was removed,
// - submission eligibility verification is not performed on-chain,
// - submission eligibility delay was replaced with a submission timeout,
// - seed timeout notification requires seedTimeout period to pass.
pragma solidity 0.8.17;
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// SPDX-License-Identifier: GPL-3.0-only
//
// ▓▓▌ ▓▓ ▐▓▓ ▓▓▓▓▓▓▓▓▓▓▌▐▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓ ▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓ ▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▄
// ▓▓▓▓▓▓▓▓▓▓ ▓▓▓▓▓▓▓▓▓▓▌▐▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓ ▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓ ▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓
//   ▓▓▓▓▓▓    ▓▓▓▓▓▓▓▀    ▐▓▓▓▓▓▓    ▐▓▓▓▓▓   ▓▓▓▓▓▓     ▓▓▓▓▓   ▐▓▓▓▓▓▌   ▐▓▓▓▓▓▓
//   ▓▓▓▓▓▓▄▄▓▓▓▓▓▓▓▀      ▐▓▓▓▓▓▓▄▄▄▄         ▓▓▓▓▓▓▄▄▄▄         ▐▓▓▓▓▓▌   ▐▓▓▓▓▓▓
//   ▓▓▓▓▓▓▓▓▓▓▓▓▓▀        ▐▓▓▓▓▓▓▓▓▓▓         ▓▓▓▓▓▓▓▓▓▓         ▐▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓
//   ▓▓▓▓▓▓▀▀▓▓▓▓▓▓▄       ▐▓▓▓▓▓▓▀▀▀▀         ▓▓▓▓▓▓▀▀▀▀         ▐▓▓▓▓▓▓▓▓▓▓▓▓▓▓▀
//   ▓▓▓▓▓▓   ▀▓▓▓▓▓▓▄     ▐▓▓▓▓▓▓     ▓▓▓▓▓   ▓▓▓▓▓▓     ▓▓▓▓▓   ▐▓▓▓▓▓▌
// ▓▓▓▓▓▓▓▓▓▓ █▓▓▓▓▓▓▓▓▓ ▐▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓ ▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓  ▓▓▓▓▓▓▓▓▓▓
// ▓▓▓▓▓▓▓▓▓▓ ▓▓▓▓▓▓▓▓▓▓ ▐▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓ ▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓  ▓▓▓▓▓▓▓▓▓▓
//
//                           Trust math, not hardware.
pragma solidity 0.8.17;
/// @notice Governable contract.
/// @dev A constructor is not defined, which makes the contract compatible with
///      upgradable proxies. This requires calling explicitly `_transferGovernance`
///      function in a child contract.
abstract contract Governable {
    // Governance of the contract
    // The variable should be initialized by the implementing contract.
    // slither-disable-next-line uninitialized-state
    address public governance;
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// SPDX-License-Identifier: GPL-3.0-only
//
// ▓▓▌ ▓▓ ▐▓▓ ▓▓▓▓▓▓▓▓▓▓▌▐▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓ ▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓ ▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▄
// ▓▓▓▓▓▓▓▓▓▓ ▓▓▓▓▓▓▓▓▓▓▌▐▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓ ▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓ ▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓
//   ▓▓▓▓▓▓    ▓▓▓▓▓▓▓▀    ▐▓▓▓▓▓▓    ▐▓▓▓▓▓   ▓▓▓▓▓▓     ▓▓▓▓▓   ▐▓▓▓▓▓▌   ▐▓▓▓▓▓▓
//   ▓▓▓▓▓▓▄▄▓▓▓▓▓▓▓▀      ▐▓▓▓▓▓▓▄▄▄▄         ▓▓▓▓▓▓▄▄▄▄         ▐▓▓▓▓▓▌   ▐▓▓▓▓▓▓
//   ▓▓▓▓▓▓▓▓▓▓▓▓▓▀        ▐▓▓▓▓▓▓▓▓▓▓         ▓▓▓▓▓▓▓▓▓▓         ▐▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓
//   ▓▓▓▓▓▓▀▀▓▓▓▓▓▓▄       ▐▓▓▓▓▓▓▀▀▀▀         ▓▓▓▓▓▓▀▀▀▀         ▐▓▓▓▓▓▓▓▓▓▓▓▓▓▓▀
//   ▓▓▓▓▓▓   ▀▓▓▓▓▓▓▄     ▐▓▓▓▓▓▓     ▓▓▓▓▓   ▓▓▓▓▓▓     ▓▓▓▓▓   ▐▓▓▓▓▓▌
// ▓▓▓▓▓▓▓▓▓▓ █▓▓▓▓▓▓▓▓▓ ▐▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓ ▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓  ▓▓▓▓▓▓▓▓▓▓
// ▓▓▓▓▓▓▓▓▓▓ ▓▓▓▓▓▓▓▓▓▓ ▐▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓ ▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓  ▓▓▓▓▓▓▓▓▓▓
//
//
pragma solidity 0.8.17;
/*
Version pulled from keep-core v1:
https://github.com/keep-network/keep-core/blob/f297202db00c027978ad8e7103a356503de5773c/solidity-v1/contracts/utils/BytesLib.sol
To compile it with solidity 0.8 `_preBytes_slot` was replaced with `_preBytes.slot`.
*/
/*
https://github.com/GNSPS/solidity-bytes-utils/
This is free and unencumbered software released into the public domain.
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// SPDX-License-Identifier: GPL-3.0-only
//
// ▓▓▌ ▓▓ ▐▓▓ ▓▓▓▓▓▓▓▓▓▓▌▐▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓ ▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓ ▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▄
// ▓▓▓▓▓▓▓▓▓▓ ▓▓▓▓▓▓▓▓▓▓▌▐▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓ ▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓ ▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓
//   ▓▓▓▓▓▓    ▓▓▓▓▓▓▓▀    ▐▓▓▓▓▓▓    ▐▓▓▓▓▓   ▓▓▓▓▓▓     ▓▓▓▓▓   ▐▓▓▓▓▓▌   ▐▓▓▓▓▓▓
//   ▓▓▓▓▓▓▄▄▓▓▓▓▓▓▓▀      ▐▓▓▓▓▓▓▄▄▄▄         ▓▓▓▓▓▓▄▄▄▄         ▐▓▓▓▓▓▌   ▐▓▓▓▓▓▓
//   ▓▓▓▓▓▓▓▓▓▓▓▓▓▀        ▐▓▓▓▓▓▓▓▓▓▓         ▓▓▓▓▓▓▓▓▓▓         ▐▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓
//   ▓▓▓▓▓▓▀▀▓▓▓▓▓▓▄       ▐▓▓▓▓▓▓▀▀▀▀         ▓▓▓▓▓▓▀▀▀▀         ▐▓▓▓▓▓▓▓▓▓▓▓▓▓▓▀
//   ▓▓▓▓▓▓   ▀▓▓▓▓▓▓▄     ▐▓▓▓▓▓▓     ▓▓▓▓▓   ▓▓▓▓▓▓     ▓▓▓▓▓   ▐▓▓▓▓▓▌
// ▓▓▓▓▓▓▓▓▓▓ █▓▓▓▓▓▓▓▓▓ ▐▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓ ▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓  ▓▓▓▓▓▓▓▓▓▓
// ▓▓▓▓▓▓▓▓▓▓ ▓▓▓▓▓▓▓▓▓▓ ▐▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓ ▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓  ▓▓▓▓▓▓▓▓▓▓
//
//                           Trust math, not hardware.
pragma solidity 0.8.17;
import "@openzeppelin/contracts/access/Ownable.sol";
import "@openzeppelin/contracts/security/ReentrancyGuard.sol";
contract ReimbursementPool is Ownable, ReentrancyGuard {
    /// @notice Authorized contracts that can interact with the reimbursment pool.
    ///         Authorization can be granted and removed by the owner.
    mapping(address => bool) public isAuthorized;
    /// @notice Static gas includes:
    ///         - cost of the refund function
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pragma solidity 0.8.17;
import "./Constants.sol";
/// @notice The implicit 8-ary trees of the sortition pool
/// rely on packing 8 "slots" of 32-bit values into each uint256.
/// The Branch library permits efficient calculations on these slots.
library Branch {
  /// @notice Calculate the right shift required
  /// to make the 32 least significant bits of an uint256
  /// be the bits of the `position`th slot
  /// when treating the uint256 as a uint32[8].
  ///
  /// @dev Not used for efficiency reasons,
  /// but left to illustrate the meaning of a common pattern.
  /// I wish solidity had macros, even C macros.
  function slotShift(uint256 position) internal pure returns (uint256) {
    unchecked {
      return position * Constants.SLOT_WIDTH;
    }
  }
  /// @notice Return the `position`th slot of the `node`,
  /// treating `node` as a uint32[32].
  function getSlot(uint256 node, uint256 position)
    internal
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pragma solidity 0.8.17;
/// @title Chaosnet
/// @notice This is a beta staker program for stakers willing to go the extra
/// mile with monitoring, share their logs with the dev team, and allow to more
/// carefully monitor the bootstrapping network. As the network matures, the
/// beta program will be ended.
contract Chaosnet {
  /// @notice Indicates if the chaosnet is active. The chaosnet is active
  /// after the contract deployment and can be ended with a call to
  /// `deactivateChaosnet()`. Once deactivated chaosnet can not be activated
  /// again.
  bool public isChaosnetActive;
  /// @notice Indicates if the given operator is a beta operator for chaosnet.
  mapping(address => bool) public isBetaOperator;
  /// @notice Address controlling chaosnet status and beta operator addresses.
  address public chaosnetOwner;
  event BetaOperatorsAdded(address[] operators);
  event ChaosnetOwnerRoleTransferred(
    address oldChaosnetOwner,
    address newChaosnetOwner
  );
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pragma solidity 0.8.17;
library Constants {
  ////////////////////////////////////////////////////////////////////////////
  // Parameters for configuration
  // How many bits a position uses per level of the tree;
  // each branch of the tree contains 2**SLOT_BITS slots.
  uint256 constant SLOT_BITS = 3;
  uint256 constant LEVELS = 7;
  ////////////////////////////////////////////////////////////////////////////
  ////////////////////////////////////////////////////////////////////////////
  // Derived constants, do not touch
  uint256 constant SLOT_COUNT = 2**SLOT_BITS;
  uint256 constant SLOT_WIDTH = 256 / SLOT_COUNT;
  uint256 constant LAST_SLOT = SLOT_COUNT - 1;
  uint256 constant SLOT_MAX = (2**SLOT_WIDTH) - 1;
  uint256 constant POOL_CAPACITY = SLOT_COUNT**LEVELS;
  uint256 constant ID_WIDTH = SLOT_WIDTH;
  uint256 constant ID_MAX = SLOT_MAX;
  uint256 constant BLOCKHEIGHT_WIDTH = 96 - ID_WIDTH;
  uint256 constant BLOCKHEIGHT_MAX = (2**BLOCKHEIGHT_WIDTH) - 1;
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pragma solidity 0.8.17;
import "./Constants.sol";
library Leaf {
  function make(
    address _operator,
    uint256 _creationBlock,
    uint256 _id
  ) internal pure returns (uint256) {
    assert(_creationBlock <= type(uint64).max);
    assert(_id <= type(uint32).max);
    // Converting a bytesX type into a larger type
    // adds zero bytes on the right.
    uint256 op = uint256(bytes32(bytes20(_operator)));
    // Bitwise AND the id to erase
    // all but the 32 least significant bits
    uint256 uid = _id & Constants.ID_MAX;
    // Erase all but the 64 least significant bits,
    // then shift left by 32 bits to make room for the id
    uint256 cb = (_creationBlock & Constants.BLOCKHEIGHT_MAX) <<
      Constants.ID_WIDTH;
    // Bitwise OR them all together to get
    // [address operator || uint64 creationBlock || uint32 id]
    return (op | cb | uid);
  }
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pragma solidity 0.8.17;
import "./Constants.sol";
library Position {
  // Return the last 3 bits of a position number,
  // corresponding to its slot in its parent
  function slot(uint256 a) internal pure returns (uint256) {
    return a & Constants.SLOT_POINTER_MAX;
  }
  // Return the parent of a position number
  function parent(uint256 a) internal pure returns (uint256) {
    return a >> Constants.SLOT_BITS;
  }
  // Return the location of the child of a at the given slot
  function child(uint256 a, uint256 s) internal pure returns (uint256) {
    return (a << Constants.SLOT_BITS) | (s & Constants.SLOT_POINTER_MAX); // slot(s)
  }
  // Return the uint p as a flagged position uint:
  // the least significant 21 bits contain the position
  // and the 22nd bit is set as a flag
  // to distinguish the position 0x000000 from an empty field.
  function setFlag(uint256 p) internal pure returns (uint256) {
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pragma solidity 0.8.17;
/// @title Rewards
/// @notice Rewards are allocated proportionally to operators
/// present in the pool at payout based on their weight in the pool.
///
/// To facilitate this, we use a global accumulator value
/// to track the total rewards one unit of weight would've earned
/// since the creation of the pool.
///
/// Whenever a reward is paid, the accumulator is increased
/// by the size of the reward divided by the total weight
/// of all eligible operators in the pool.
///
/// Each operator has an individual accumulator value,
/// set to equal the global accumulator when the operator joins the pool.
/// This accumulator reflects the amount of rewards
/// that have already been accounted for with that operator.
///
/// Whenever an operator's weight in the pool changes,
/// we can update the amount of rewards the operator has earned
/// by subtracting the operator's accumulator from the global accumulator.
/// This gives us the amount of rewards one unit of weight has earned
/// since the last time the operator's rewards have been updated.
/// Then we multiply that by the operator's previous (pre-change) weight
/// to determine how much rewards in total the operator has earned,
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pragma solidity 0.8.17;
import "./Leaf.sol";
import "./Constants.sol";
library RNG {
  /// @notice Get an index in the range `[0 .. range-1]`
  /// and the new state of the RNG,
  /// using the provided `state` of the RNG.
  ///
  /// @param range The upper bound of the index, exclusive.
  ///
  /// @param state The previous state of the RNG.
  /// The initial state needs to be obtained
  /// from a trusted randomness oracle (the random beacon),
  /// or from a chain of earlier calls to `RNG.getIndex()`
  /// on an originally trusted seed.
  ///
  /// @dev Calculates the number of bits required for the desired range,
  /// takes the least significant bits of `state`
  /// and checks if the obtained index is within the desired range.
  /// The original state is hashed with `keccak256` to get a new state.
  /// If the index is outside the range,
  /// the function retries until it gets a suitable index.
  ///
  /// @return index A random integer between `0` and `range - 1`, inclusive.
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pragma solidity 0.8.17;
import "@thesis/solidity-contracts/contracts/token/IERC20WithPermit.sol";
import "@thesis/solidity-contracts/contracts/token/IReceiveApproval.sol";
import "@openzeppelin/contracts/access/Ownable.sol";
import "./RNG.sol";
import "./SortitionTree.sol";
import "./Rewards.sol";
import "./Chaosnet.sol";
/// @title Sortition Pool
/// @notice A logarithmic data structure used to store the pool of eligible
/// operators weighted by their stakes. It allows to select a group of operators
/// based on the provided pseudo-random seed.
contract SortitionPool is
  SortitionTree,
  Rewards,
  Ownable,
  Chaosnet,
  IReceiveApproval
{
  using Branch for uint256;
  using Leaf for uint256;
  using Position for uint256;
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pragma solidity 0.8.17;
import "./Branch.sol";
import "./Position.sol";
import "./Leaf.sol";
import "./Constants.sol";
contract SortitionTree {
  using Branch for uint256;
  using Position for uint256;
  using Leaf for uint256;
  // implicit tree
  // root 8
  // level2 64
  // level3 512
  // level4 4k
  // level5 32k
  // level6 256k
  // level7 2M
  uint256 internal root;
  // A 2-index mapping from layer => (index (0-index) => branch). For example,
  // to access the 6th branch in the 2nd layer (right below the root node; the
  // first branch layer), call branches[2][5]. Mappings are used in place of
  // arrays for efficiency. The root is the first layer, the branches occupy
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// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts (last updated v4.6.0) (proxy/utils/Initializable.sol)
pragma solidity ^0.8.2;
import "../../utils/AddressUpgradeable.sol";
/**
 * @dev This is a base contract to aid in writing upgradeable contracts, or any kind of contract that will be deployed
 * behind a proxy. Since proxied contracts do not make use of a constructor, it's common to move constructor logic to an
 * external initializer function, usually called `initialize`. It then becomes necessary to protect this initializer
 * function so it can only be called once. The {initializer} modifier provided by this contract will have this effect.
 *
 * The initialization functions use a version number. Once a version number is used, it is consumed and cannot be
 * reused. This mechanism prevents re-execution of each "step" but allows the creation of new initialization steps in
 * case an upgrade adds a module that needs to be initialized.
 *
 * For example:
 *
 * [.hljs-theme-light.nopadding]
 * ```
 * contract MyToken is ERC20Upgradeable {
 *     function initialize() initializer public {
 *         __ERC20_init("MyToken", "MTK");
 *     }
 * }
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// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts (last updated v4.5.0) (utils/Address.sol)
pragma solidity ^0.8.1;
/**
 * @dev Collection of functions related to the address type
 */
library AddressUpgradeable {
    /**
     * @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
     * ====
     *
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// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts (last updated v4.5.0) (utils/cryptography/ECDSA.sol)
pragma solidity ^0.8.0;
import "../StringsUpgradeable.sol";
/**
 * @dev Elliptic Curve Digital Signature Algorithm (ECDSA) operations.
 *
 * These functions can be used to verify that a message was signed by the holder
 * of the private keys of a given address.
 */
library ECDSAUpgradeable {
    enum RecoverError {
        NoError,
        InvalidSignature,
        InvalidSignatureLength,
        InvalidSignatureS,
        InvalidSignatureV
    }
    function _throwError(RecoverError error) private pure {
        if (error == RecoverError.NoError) {
            return; // no error: do nothing
        } else if (error == RecoverError.InvalidSignature) {
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// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts v4.4.1 (utils/math/SafeCast.sol)
pragma solidity ^0.8.0;
/**
 * @dev Wrappers over Solidity's uintXX/intXX casting operators with added overflow
 * checks.
 *
 * Downcasting from uint256/int256 in Solidity does not revert on overflow. This can
 * easily result in undesired exploitation or bugs, since developers usually
 * assume that overflows raise errors. `SafeCast` restores this intuition by
 * reverting the transaction when such an operation overflows.
 *
 * Using this library instead of the unchecked operations eliminates an entire
 * class of bugs, so it's recommended to use it always.
 *
 * Can be combined with {SafeMath} and {SignedSafeMath} to extend it to smaller types, by performing
 * all math on `uint256` and `int256` and then downcasting.
 */
library SafeCastUpgradeable {
    /**
     * @dev Returns the downcasted uint224 from uint256, reverting on
     * overflow (when the input is greater than largest uint224).
     *
     * Counterpart to Solidity's `uint224` operator.
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// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts v4.4.1 (utils/Strings.sol)
pragma solidity ^0.8.0;
/**
 * @dev String operations.
 */
library StringsUpgradeable {
    bytes16 private constant _HEX_SYMBOLS = "0123456789abcdef";
    /**
     * @dev Converts a `uint256` to its ASCII `string` decimal 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;
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// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts v4.4.1 (access/Ownable.sol)
pragma solidity ^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.
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// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts v4.4.1 (security/ReentrancyGuard.sol)
pragma solidity ^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
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// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts v4.4.1 (token/ERC20/extensions/IERC20Metadata.sol)
pragma solidity ^0.8.0;
import "../IERC20.sol";
/**
 * @dev Interface for the optional metadata functions from the ERC20 standard.
 *
 * _Available since v4.1._
 */
interface IERC20Metadata is IERC20 {
    /**
     * @dev Returns the name of the token.
     */
    function name() external view returns (string memory);
    /**
     * @dev Returns the symbol of the token.
     */
    function symbol() external view returns (string memory);
    /**
     * @dev Returns the decimals places of the token.
     */
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// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts (last updated v4.6.0) (token/ERC20/IERC20.sol)
pragma solidity ^0.8.0;
/**
 * @dev Interface of the ERC20 standard as defined in the EIP.
 */
interface IERC20 {
    /**
     * @dev Emitted when `value` tokens are moved from one account (`from`) to
     * another (`to`).
     *
     * Note that `value` may be zero.
     */
    event Transfer(address indexed from, address indexed to, uint256 value);
    /**
     * @dev Emitted when the allowance of a `spender` for an `owner` is set by
     * a call to {approve}. `value` is the new allowance.
     */
    event Approval(address indexed owner, address indexed spender, uint256 value);
    /**
     * @dev Returns the amount of tokens in existence.
     */
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// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts v4.4.1 (token/ERC20/utils/SafeERC20.sol)
pragma solidity ^0.8.0;
import "../IERC20.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 Address for address;
    function safeTransfer(
        IERC20 token,
        address to,
        uint256 value
    ) internal {
        _callOptionalReturn(token, abi.encodeWithSelector(token.transfer.selector, to, value));
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// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts (last updated v4.6.0) (token/ERC721/IERC721.sol)
pragma solidity ^0.8.0;
import "../../utils/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);
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// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts (last updated v4.5.0) (utils/Address.sol)
pragma solidity ^0.8.1;
/**
 * @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
     * ====
     *
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// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts v4.4.1 (utils/Context.sol)
pragma solidity ^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 meta-transactions the account sending and
 * paying for execution may not be the actual sender (as far as an application
 * is concerned).
 *
 * This contract is only required for intermediate, library-like contracts.
 */
abstract contract Context {
    function _msgSender() internal view virtual returns (address) {
        return msg.sender;
    }
    function _msgData() internal view virtual returns (bytes calldata) {
        return msg.data;
    }
}
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// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts (last updated v4.5.0) (utils/cryptography/ECDSA.sol)
pragma solidity ^0.8.0;
import "../Strings.sol";
/**
 * @dev Elliptic Curve Digital Signature Algorithm (ECDSA) operations.
 *
 * These functions can be used to verify that a message was signed by the holder
 * of the private keys of a given address.
 */
library ECDSA {
    enum RecoverError {
        NoError,
        InvalidSignature,
        InvalidSignatureLength,
        InvalidSignatureS,
        InvalidSignatureV
    }
    function _throwError(RecoverError error) private pure {
        if (error == RecoverError.NoError) {
            return; // no error: do nothing
        } else if (error == RecoverError.InvalidSignature) {
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// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts v4.4.1 (utils/introspection/IERC165.sol)
pragma solidity ^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);
}
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// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts (last updated v4.5.0) (utils/math/Math.sol)
pragma solidity ^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.
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