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 PYTHON):

Solution:
from collections import deque
import sys

def main():
    n, q = map(int,raw_input().split())
    Q = deque([])
    for i in xrange(n):
        a = raw_input().split()
        a[1] = int(a[1])
        Q.append(a)
    
    elaps = 0
    while len(Q) > 0:
        u = Q.popleft()
        a = min(u[1], q)
        u[1] -= a
        elaps += a
        if u[1] > 0:
            Q.append(u)
        else:
            print u[0], elaps
    return 0

main()