Problem: Notes

Template in C

Constraints

* 1 ≤ n ≤ 100000
* 1 ≤ q ≤ 1000
* 1 ≤ timei ≤ 50000
* 1 ≤ length of namei ≤ 10
* 1 ≤ Sum of timei ≤ 1000000

Input

n q
name1 time1
name2 time2
...
namen timen


In the first line the number of processes n and the quantum q are given separated by a single space.

In the following n lines, names and times for the n processes are given. namei and timei are separated by a single space.

Output

For each process, prints its name and the time the process finished in order.

Example

Input

5 100
p1 150
p2 80
p3 200
p4 350
p5 20


Output

p2 180
p5 400
p1 450
p3 550
p4 800

Solution (in CPP):

Solution:
#include <iostream>
#include <string>
#include <cstdlib>
#include <vector>
#include <queue>
#include <algorithm>

using namespace std;

int main(){
  int n,q,t;cin>>n>>q;
  string name;
  queue<pair<string,int>> Q;
  
  for(int i=0;i<n;i++){
  	cin>>name>>t;
    Q.push(make_pair(name,t));
  }
  pair<string,int> u;
  int elaps=0,a;
  
  while(!Q.empty()){
  	u=Q.front();Q.pop();
    a=min(u.second,q);
    u.second-=a;
    elaps+=a;
    if(u.second>0){
    	Q.push(u); 
    }else{
    	cout<<u.first<<" "<<elaps<<endl;
    }
  }
}