You are given an array consisting of nn integers a1,a2,…,ana1,a2,…,an, and a positive integer mm. It is guaranteed that mm is a divisor of nn.

In a single move, you can choose any position ii between 11 and nn and increase aiai by 11.

Let’s calculate crcr (0≤r≤m?1)0≤r≤m?1) — the number of elements having remainder rr when divided by mm. In other words, for each remainder, let’s find the number of corresponding elements in aa with that remainder.

Your task is to change the array in such a way that c0=c1=?=cm?1=nmc0=c1=?=cm?1=nm.

Find the minimum number of moves to satisfy the above requirement.

Input
The first line of input contains two integers nn and mm (1≤n≤2?105,1≤m≤n1≤n≤2?105,1≤m≤n). It is guaranteed that mm is a divisor of nn.

The second line of input contains nn integers a1,a2,…,ana1,a2,…,an (0≤ai≤1090≤ai≤109), the elements of the array.

Output
In the first line, print a single integer — the minimum number of moves required to satisfy the following condition: for each remainder from 00 to m?1m?1, the number of elements of the array having this remainder equals nmnm.

In the second line, print any array satisfying the condition and can be obtained from the given array with the minimum number of moves. The values of the elements of the resulting array must not exceed 10181018.

Examples
Input
6 3
3 2 0 6 10 12
Output
3
3 2 0 7 10 14
Input
4 2
0 1 2 3
Output
0
0 1 2 3
題意：構造出這樣的一組序列，使得這個數組中的每個數字取模m之后的數字即0~m-1都出現過n/m次。問最少需要操作多少次。
思路：對于余數出現次數少于n/m次的數，我們放到set中去。
對于出現次數多于n/m的數，我們二分去找set中第一個大于這個數的數。如果操作之后這個數的出現次數等于n/m次了，就將之從集合中刪除。
代碼如下：

#include<bits/stdc++.h> #define ll long long using namespace std;const int maxx=2e5+100; ll a[maxx]; int b[maxx]; int n,m;int main() {scanf("%d%d",&n,&m);for(int i=1;i<=n;i++) {scanf("%I64d",&a[i]);b[a[i]%m]++;}set<ll> s;for(int i=0;i<m;i++){if(b[i]<n/m) s.insert(i);}ll ans=0;for(int i=1;i<=n;i++){if(b[a[i]%m]<=n/m) continue;b[a[i]%m]--;set<ll> ::iterator it=s.lower_bound(a[i]%m);if(it!=s.end())//找到了{ans+=*it-a[i]%m;a[i]+=*it-a[i]%m;b[*it]++;if(b[*it]==n/m) s.erase(it);}else//沒有找到的話，就要變成集合中的第一個元素。{ans+=(*s.begin()+m-a[i]%m)%m;a[i]+=(*s.begin()+m-a[i]%m)%m;b[*s.begin()]++;if(b[*s.begin()]==n/m) s.erase(s.begin());} }cout<<ans<<endl;for(int i=1;i<=n;i++) cout<<a[i]<<" ";cout<<endl; }

努力加油a啊，(^o)/~

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