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CodeForces D. Concatenated Multiples

时间:2018-10-20 21:03:51      阅读:212      评论:0      收藏:0      [点我收藏+]

标签:node   hang   ica   problem   tin   mes   bit   tip   clu   

http://codeforces.com/contest/1029/problem/D

 

You are given an array aa, consisting of nn positive integers.

Let‘s call a concatenation of numbers xx and yy the number that is obtained by writing down numbers xx and yy one right after another without changing the order. For example, a concatenation of numbers 1212 and 34563456 is a number 123456123456.

Count the number of ordered pairs of positions (i,j)(i,j) (iji≠j) in array aa such that the concatenation of aiai and ajaj is divisible by kk.

Input

The first line contains two integers nn and kk (1n2?1051≤n≤2?105, 2k1092≤k≤109).

The second line contains nn integers a1,a2,,ana1,a2,…,an (1ai1091≤ai≤109).

Output

Print a single integer — the number of ordered pairs of positions (i,j)(i,j) (iji≠j) in array aa such that the concatenation of aiai and ajaj is divisible by kk.

Examples
input
Copy
6 11
45 1 10 12 11 7
output
Copy
7
input
Copy
4 2
2 78 4 10
output
Copy
12
input
Copy
5 2
3 7 19 3 3
output
Copy
0

代码:

#include <bits/stdc++.h>
using namespace std;

const int maxn = 2e5 + 10;
int N, K;
int num[maxn];
map<long long, long long> mp[15];

int main() {
    scanf("%d%d", &N, &K);
    for(int i = 1; i <= N; i ++) {
        scanf("%d", &num[i]);
        long long a = num[i];
        for(int j = 1; j <= 10; j ++) {
            a *= 10;
            a %= K;
            mp[j][a] ++;
        }
    }
    long long cnt = 0;
    for(int i = 1; i <= N; i ++) {
        int t = num[i] % K;
        int len = log10(num[i]) + 1;
        cnt += mp[len][(K - t) % K];
        long long x = 1;
        for(int j = 1; j <= len; j ++)
            x = (x * 10) % K;
        if(((num[i] * x) % K + num[i] % K) % K == 0)
            cnt --;
    }
    printf("%I64d\n", cnt);
    return 0;
}

  

CodeForces D. Concatenated Multiples

标签:node   hang   ica   problem   tin   mes   bit   tip   clu   

原文地址:https://www.cnblogs.com/zlrrrr/p/9822824.html

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