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>
using namespace std;
int main(){
  int n,t,p,c=0;
  string s;
  cin>>n>>t;
  queue<pair<string,int> >a;
  while(n--){
    cin>>s>>p;
    a.push(make_pair(s,p));
  }
  while(!a.empty()){
    pair<string,int>b=a.front();
    a.pop();
    if(b.second<=t){
      c+=b.second;
      cout<<b.first<<' '<<c<<endl;
    }
    else{
      b.second-=t;
      c+=t;
      a.push(b);
    }
  }
}