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>

using namespace std;

int main() {
  int n, q;
  string name[100000];
  int time[100000];
  
  cin >> n >> q;
  for (int i=0; i<n; i++) cin >> name[i] >> time[i];
  
  int cnt = 0, t = 0;
  while (cnt < n) {
    for (int i=0; i<n; i++) {
      if (time[i] == 0) continue;
      else if (time[i] <= q) {
        t += time[i];
        time[i] = 0;
        cnt++;
        cout << name[i] << " " << t << endl;
      }
      else {
        t += q;
        time[i] -= q;
      }
    }
  }
  return 0;
}