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>
using namespace std;

int main(){
    queue<pair<string,int> >v;
    int N,Q,T;
    string s;
    for(cin >> N >> Q; N--;) cin >> s >> T, v.push(make_pair(s,T));
    for(T = 0; !v.empty();){
        pair<string,int> p = v.front(); v.pop();
        if(p.second > Q) T += Q, p.second -= Q, v.push(p);
        else T += p.second, cout << p.first << ' ' << T << endl;
    }
}