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  • B. Divisiblity of Differences

    You are given a multiset of n integers. You should select exactly k of them in a such way that the difference between any two of them is divisible by m, or tell that it is impossible.

    Numbers can be repeated in the original multiset and in the multiset of selected numbers, but number of occurrences of any number in multiset of selected numbers should not exceed the number of its occurrences in the original multiset.

    Input

    First line contains three integers nk and m (2 ≤ k ≤ n ≤ 100 000, 1 ≤ m ≤ 100 000) — number of integers in the multiset, number of integers you should select and the required divisor of any pair of selected integers.

    Second line contains n integers a1, a2, ..., an (0 ≤ ai ≤ 109) — the numbers in the multiset.

    Output

    If it is not possible to select k numbers in the desired way, output «No» (without the quotes).

    Otherwise, in the first line of output print «Yes» (without the quotes). In the second line print k integers b1, b2, ..., bk — the selected numbers. If there are multiple possible solutions, print any of them.

    Examples
    input
    Copy
    3 2 3
    1 8 4
    output
    Copy
    Yes
    1 4
    input
    Copy
    3 3 3
    1 8 4
    output
    Copy
    No
    input
    Copy
    4 3 5
    2 7 7 7
    output
    Copy
    Yes
    2 7 7
     1 #include <bits/stdc++.h>
     2 using namespace std;
     3 const int maxn = 1e5 + 10;
     4 
     5 int n, k, m, x;
     6 vector<int>tu[maxn];
     7 int main() {
     8     scanf("%d%d%d", &n, &k, &m);
     9     for (int i = 0 ; i < n ; i++) {
    10         scanf("%d", &x);
    11         tu[x % m].push_back(x);
    12     }
    13     int flag = 0;
    14     for (int i = 0 ; i < m ; i++) {
    15         if (tu[i].size() >= k) {
    16             flag = 1;
    17             printf("Yes
    ");
    18             sort(tu[i].begin(), tu[i].end());
    19             for (int j = 0 ; j < k; j++)
    20                 printf("%d ", tu[i][j]);
    21             printf("
    ");
    22             break;
    23         }
    24     }
    25     if (!flag) printf("No
    ");
    26     return 0;
    27 }
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  • 原文地址:https://www.cnblogs.com/qldabiaoge/p/9183478.html
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