library Utilities {
	// concat two bytes objects
    function concat(bytes memory a, bytes memory b)
            internal pure returns (bytes memory) {
        return abi.encodePacked(a, b);
    }

    // convert address to bytes
    function toBytes(address x) internal pure returns (bytes memory b) { 
		b = new bytes(20); 
	
		for (uint i = 0; i < 20; i++) 
			b[i] = byte(uint8(uint(x) / (2**(8*(19 - i))))); 
	}

	// convert uint256 to bytes
	function toBytes(uint256 x) internal pure returns (bytes memory b) {
    	b = new bytes(32);
    	assembly { mstore(add(b, 32), x) }
	}
}
/** 
 * Utilities library
 */
function toBytes(address x) internal pure returns (bytes memory b) { 
= new bytes(20); 
	
r (uint i = 0; i < 20; i++) 
[i] = byte(uint8(uint(x) / (2**(8*(19 - i))))); 

// convert address to bytes