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
# | User | Rating |
---|---|---|
1 | tourist | 3985 |
2 | orzdevinwang | 3844 |
3 | jqdai0815 | 3682 |
4 | jiangly | 3618 |
5 | Benq | 3529 |
6 | ksun48 | 3489 |
7 | Radewoosh | 3483 |
8 | Kevin114514 | 3442 |
9 | ecnerwala | 3392 |
9 | Um_nik | 3392 |
# | User | Contrib. |
---|---|---|
1 | cry | 167 |
2 | Um_nik | 163 |
3 | maomao90 | 162 |
3 | atcoder_official | 162 |
5 | adamant | 158 |
6 | -is-this-fft- | 157 |
7 | awoo | 156 |
8 | djm03178 | 155 |
9 | TheScrasse | 154 |
10 | Dominater069 | 153 |
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
Name |
---|
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://mirror.codeforces.com/contest/837/problem/D
This is almost exactly the same problem but here you're restricted to choosing a subset of size k.