#previous iteration:
group [2, 2, 1, 0, 0]

#current iteration:
    s [1, 2, 1, 3, 3]

#possible output:
group [2, 3, 1, 0, 0]

C [21, 22, 11, 03, 03]

group [2, 3, 1, 0, 0]

group[i] = (C[i] / UINT64_MAX) * UINT32_MAX