output[0] = 1
output[1] = 4
output[2] = 6
output[3] = 8
counter[0] = 4
counter[1] = 3
counter[2] = 1
counter[3] = 4
counter[4] = 4
counter[5] = 4
counter[6] = 0
counter[7] = 4
counter[8] = 4
