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<cstdio>
#include<algorithm>
#include<queue>
#include<string>
using namespace std;
int main()
{
	int n, q,t;
	int elaps = 0;
	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;
	while(!Q.empty()){
		u = Q.front(); Q.pop();
		int cost = min(q,u.second);
		u.second -= cost;
		elaps += cost;
		if(u.second <= 0){
			cout << u.first << " " << elaps << endl;
		}
		else{
			Q.push(u);
		}
	}
	
 }