patterns = ["000000000000",
            "000000000001",
            "000001000001",
            "000001000011",
            "000011000011",
            "000011000111",
            "000111000111",
            "000111001111",
            "001111001111",
            "001111011111",
            "011111011111",
            "011111111111",
            "111111111111"]