library SafeMath { //standard library for uint
  function mul(uint256 a, uint256 b) internal pure returns (uint256) {
    if (a == 0 || b == 0){
        return 0;
    }
    uint256 c = a * b;
    assert(c / a == b);
    return c;
  }
  function sub(uint256 a, uint256 b) internal pure returns (uint256) {
    assert(b <= a);
    return a - b;
  }
  function add(uint256 a, uint256 b) internal pure returns (uint256) {
    uint256 c = a + b;
    assert(c >= a);
    return c;
  }
  function pow(uint256 a, uint256 b) internal pure returns (uint256){ //power function
    if (b == 0){
      return 1;
    }
    uint256 c = a**b;
    assert (c >= a);
    return c;
  }
}
function mul(uint256 a, uint256 b) internal pure returns (uint256) {
  if (a == 0 || b == 0){
      return 0;
  }
  uint256 c = a * b;
  assert(c / a == b);
  return c;
}

//standard library for uint