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Give you a integer N and N is not equal to 10^i and i belongs to {0, 1, 2, 3, ...}.
for example, N = 2, we get following data:
1th: 2*2 = 4
2nd: 4*4 = 16
3rd: 16*16 = 256
4th: 256*256 = 65536
5th: 65536*65536 = 4294967296
6th: 4294967296*4294967296 = 18446744073709551616
construct a set with all the number character appeared in all result of power operation.
please show me the minimum times of power operation to get a set equal to {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}.
and prove your idea.