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<queue>
#include<algorithm>
using namespace std;

int main(){
  int n,q,t;
  string name;
  queue<pair<string,int> > Q;
  cin>>n>>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();
    if(u.second<=q){
      elaps=elaps+u.second;
      cout<<u.first<<" "<<elaps<<endl;
    }else{
      elaps=elaps+q;
      Q.push(make_pair(u.first,u.second-q));
    }
  }


  return 0;
}