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;
	
	queue<pair<string, int>> que;
	while (n--) {
		string name;
		int time;
		cin >> name >> time;
		que.push({name, time});
	}


	int current_time = 0;
	while (!que.empty()) {
		auto top = que.front();
		que.pop();

		if (top.second > q) {
			current_time += q;
			top.second -= q;
			que.push(top);
		} else {
			current_time += top.second;
			cout << top.first << ' ' << current_time << '\n';
		}
	}
}