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216 lines
6.5 KiB
Solidity
216 lines
6.5 KiB
Solidity
// SPDX-License-Identifier: MIT
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// OpenZeppelin Contracts (last updated v4.6.0) (utils/math/SafeMath.sol)
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pragma solidity ^0.8.0;
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// CAUTION
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// This version of SafeMath should only be used with Solidity 0.8 or later,
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// because it relies on the compiler's built in overflow checks.
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/**
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* @dev Wrappers over Solidity's arithmetic operations.
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*
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* NOTE: `SafeMath` is generally not needed starting with Solidity 0.8, since the compiler
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* now has built in overflow checking.
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*/
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library SafeMath {
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/**
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* @dev Returns the addition of two unsigned integers, with an overflow flag.
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*
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* _Available since v3.4._
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*/
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function tryAdd(uint256 a, uint256 b) internal pure returns (bool, uint256) {
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unchecked {
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uint256 c = a + b;
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if (c < a) return (false, 0);
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return (true, c);
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}
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}
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/**
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* @dev Returns the subtraction of two unsigned integers, with an overflow flag.
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*
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* _Available since v3.4._
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*/
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function trySub(uint256 a, uint256 b) internal pure returns (bool, uint256) {
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unchecked {
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if (b > a) return (false, 0);
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return (true, a - b);
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}
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}
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/**
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* @dev Returns the multiplication of two unsigned integers, with an overflow flag.
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*
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* _Available since v3.4._
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*/
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function tryMul(uint256 a, uint256 b) internal pure returns (bool, uint256) {
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unchecked {
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// Gas optimization: this is cheaper than requiring 'a' not being zero, but the
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// benefit is lost if 'b' is also tested.
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// See: https://github.com/OpenZeppelin/openzeppelin-contracts/pull/522
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if (a == 0) return (true, 0);
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uint256 c = a * b;
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if (c / a != b) return (false, 0);
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return (true, c);
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}
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}
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/**
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* @dev Returns the division of two unsigned integers, with a division by zero flag.
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*
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* _Available since v3.4._
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*/
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function tryDiv(uint256 a, uint256 b) internal pure returns (bool, uint256) {
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unchecked {
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if (b == 0) return (false, 0);
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return (true, a / b);
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}
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}
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/**
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* @dev Returns the remainder of dividing two unsigned integers, with a division by zero flag.
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*
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* _Available since v3.4._
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*/
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function tryMod(uint256 a, uint256 b) internal pure returns (bool, uint256) {
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unchecked {
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if (b == 0) return (false, 0);
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return (true, a % b);
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}
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}
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/**
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* @dev Returns the addition of two unsigned integers, reverting on
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* overflow.
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*
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* Counterpart to Solidity's `+` operator.
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*
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* Requirements:
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*
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* - Addition cannot overflow.
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*/
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function add(uint256 a, uint256 b) internal pure returns (uint256) {
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return a + b;
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}
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/**
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* @dev Returns the subtraction of two unsigned integers, reverting on
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* overflow (when the result is negative).
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*
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* Counterpart to Solidity's `-` operator.
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*
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* Requirements:
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*
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* - Subtraction cannot overflow.
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*/
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function sub(uint256 a, uint256 b) internal pure returns (uint256) {
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return a - b;
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}
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/**
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* @dev Returns the multiplication of two unsigned integers, reverting on
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* overflow.
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*
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* Counterpart to Solidity's `*` operator.
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*
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* Requirements:
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*
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* - Multiplication cannot overflow.
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*/
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function mul(uint256 a, uint256 b) internal pure returns (uint256) {
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return a * b;
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}
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/**
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* @dev Returns the integer division of two unsigned integers, reverting on
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* division by zero. The result is rounded towards zero.
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*
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* Counterpart to Solidity's `/` operator.
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*
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* Requirements:
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*
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* - The divisor cannot be zero.
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*/
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function div(uint256 a, uint256 b) internal pure returns (uint256) {
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return a / b;
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}
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/**
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* @dev Returns the remainder of dividing two unsigned integers. (unsigned integer modulo),
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* reverting when dividing by zero.
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*
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* Counterpart to Solidity's `%` operator. This function uses a `revert`
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* opcode (which leaves remaining gas untouched) while Solidity uses an
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* invalid opcode to revert (consuming all remaining gas).
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*
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* Requirements:
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*
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* - The divisor cannot be zero.
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*/
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function mod(uint256 a, uint256 b) internal pure returns (uint256) {
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return a % b;
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}
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/**
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* @dev Returns the subtraction of two unsigned integers, reverting with custom message on
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* overflow (when the result is negative).
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*
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* CAUTION: This function is deprecated because it requires allocating memory for the error
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* message unnecessarily. For custom revert reasons use {trySub}.
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*
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* Counterpart to Solidity's `-` operator.
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*
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* Requirements:
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*
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* - Subtraction cannot overflow.
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*/
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function sub(uint256 a, uint256 b, string memory errorMessage) internal pure returns (uint256) {
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unchecked {
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require(b <= a, errorMessage);
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return a - b;
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}
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}
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/**
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* @dev Returns the integer division of two unsigned integers, reverting with custom message on
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* division by zero. The result is rounded towards zero.
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*
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* Counterpart to Solidity's `/` operator. Note: this function uses a
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* `revert` opcode (which leaves remaining gas untouched) while Solidity
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* uses an invalid opcode to revert (consuming all remaining gas).
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*
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* Requirements:
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*
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* - The divisor cannot be zero.
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*/
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function div(uint256 a, uint256 b, string memory errorMessage) internal pure returns (uint256) {
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unchecked {
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require(b > 0, errorMessage);
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return a / b;
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}
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}
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/**
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* @dev Returns the remainder of dividing two unsigned integers. (unsigned integer modulo),
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* reverting with custom message when dividing by zero.
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*
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* CAUTION: This function is deprecated because it requires allocating memory for the error
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* message unnecessarily. For custom revert reasons use {tryMod}.
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*
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* Counterpart to Solidity's `%` operator. This function uses a `revert`
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* opcode (which leaves remaining gas untouched) while Solidity uses an
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* invalid opcode to revert (consuming all remaining gas).
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*
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* Requirements:
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*
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* - The divisor cannot be zero.
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*/
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function mod(uint256 a, uint256 b, string memory errorMessage) internal pure returns (uint256) {
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unchecked {
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require(b > 0, errorMessage);
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return a % b;
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}
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}
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}
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