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  "source": "pragma solidity ^0.4.24;\n\n\n/**\n * @title SafeMath\n * @dev Math operations with safety checks that throw on error\n */\nlibrary SafeMath {\n\n  /**\n  * @dev Multiplies two numbers, throws on overflow.\n  */\n  function mul(uint256 _a, uint256 _b) internal pure returns (uint256 c) {\n    // Gas optimization: this is cheaper than asserting 'a' not being zero, but the\n    // benefit is lost if 'b' is also tested.\n    // See: https://github.com/OpenZeppelin/openzeppelin-solidity/pull/522\n    if (_a == 0) {\n      return 0;\n    }\n\n    c = _a * _b;\n    assert(c / _a == _b);\n    return c;\n  }\n\n  /**\n  * @dev Integer division of two numbers, truncating the quotient.\n  */\n  function div(uint256 _a, uint256 _b) internal pure returns (uint256) {\n    // assert(_b > 0); // Solidity automatically throws when dividing by 0\n    // uint256 c = _a / _b;\n    // assert(_a == _b * c + _a % _b); // There is no case in which this doesn't hold\n    return _a / _b;\n  }\n\n  /**\n  * @dev Subtracts two numbers, throws on overflow (i.e. if subtrahend is greater than minuend).\n  */\n  function sub(uint256 _a, uint256 _b) internal pure returns (uint256) {\n    assert(_b <= _a);\n    return _a - _b;\n  }\n\n  /**\n  * @dev Adds two numbers, throws on overflow.\n  */\n  function add(uint256 _a, uint256 _b) internal pure returns (uint256 c) {\n    c = _a + _b;\n    assert(c >= _a);\n    return c;\n  }\n}\n",
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