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Case 1
Input
5 5 0 0 22224444346 999
Output
11 2 1 1 1 1 1 0 0 0 2 0 0 0 0 1 0 0 0 0 1 0 0 0 0 1
Case 2
Input
5 5 0 0 222224 999
Output
6 2 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
Case 3
Input
5 5 0 0 44444444444444444444 999
Output
20 5 0 0 0 0 4 0 0 0 0 4 0 0 0 0 4 0 0 0 0 4 0 0 0 0
Case 4
Input
3 3 0 0 44220064 999
Output
8 1 1 1 1 1 1 1 1 1