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<vector>
using namespace std;

int main(){
	int n,q,i,d,sum,tmp;
	cin>>n>>q;
	vector<int> times(n);
	vector<string> names(n);
	for(i=0; i<n; i++){
		cin>>names[i]>>times[i];
	}

	sum=0;
	for(i=0; i<n; i++){
		d=q-times[i];
		if(d>=0){
			sum+=times[i];
			cout<<names[i]<<" "<<sum<<endl;
		}else{
			sum+=q;
			tmp=d*(-1);
			times.push_back(tmp);
			names.push_back(names[i]);
			n++;
		}
	}
	return 0;
}