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

int main() {
  int n,q,t;
  string name;
  queue< pair<string,int> > Q;

  cin >> n;
  cin >> q;
  for(int i=0;i<n;i++){
    cin >> name >> t;
    Q.push(make_pair(name, t));
  }

  pair<string,int> p;
  int T=0;
  while(!Q.empty()){
    p = Q.front();
    Q.pop();
    if(p.second > q){
      T += q;
      p.second -=q;
      Q.push(p);
    } else {
      T += p.second;
      cout << p.first << " " << T << endl;
    }
  }
  
  return 0;
}