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