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 PYTHON3):

Solution:
n,q = map(int,input().split())
A = []
B = []
C = []
t = 0

for i in range(n):
    x,y = input().split()
    A.append([x,int(y)])

while len(A)>0:
    f = A[0][1]
    if f<=q:
        t += f
        B.append(A[0][0])
        C.append(t)
    else:
        t += q
        A[0][1] -= q
        A.append(A[0])
    A.pop(0)

for j in range(len(B)):
    print(B[j],C[j])