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:
#!/usr/bin/env python
# -*- coding:utf-8 -*-
#from __future__ import print_function
import time
import sys
import io
import re
import math
from Queue import Queue
import collections
start = time.clock()
i = 0
(n,q)=map(int, raw_input().split())
datalist=[raw_input().split() for _ in range(n)]
datalist=collections.deque(datalist)
#print(datalist)
while len(datalist):
    data=datalist.popleft()
#    print data,datalist
    data[1]=int(data[1])
    if data[1]<=q:
        i+=data[1]
        print data[0],i
    else:
        i+=q
        data[1]-=q
        datalist.append(data)