Given an array with N elements and a number P (P ≤ N). Pick randomly P elements from the array, let's call T the product of these elements. Find the largest x that T % 10^x = 0
Example:
Input
3 2
26 5 96
Output
1
Input
3 2
25 4 90
Output
2
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Sorry if i have some mistakes, i know english not well.
So. Main condition (T % 10^x == 0) Makes it clear that we need only 5 and 2 in decomposition of a number. We can write dp[i][j][k]. where i — how many 2 are in the decomposition of our K number, which we are choose and j — how many 5 in our decomposition. i, j are <= log5(maxA[i]) * n. And k <= n.
O(n^3 * log5(maxA[i])^2) I think it possible to solve better
https://codeforces.me/contest/837/problem/D
This is almost exactly the same problem but here you're restricted to choosing a subset of size k.