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 <bits/stdc++.h>
using namespace std;
 
int main() {
    int n,q;
    cin >> n>> q;
    vector<pair<string,int> > s(n);
    for(int i=0;i<n;i++){
        cin>>s[i].first>>s[i].second;
        }
    int i=0,time=0;
    while(i<s.size()){
        if(s[i].second<=q){
            time+=s[i].second;
            cout<<s[i].first<<" "<<time<<endl;
            i++;
        }
        else{
            time+=q;
            s.push_back(make_pair(s[i].first,s[i].second-q));
            i++;
        }
    }
  return 0;
}