Problem:
There are n processes in a queue. Each process has namei and timei. The round-robin scheduling handles the processes in order. A round-robin scheduler gives each process a quantum (a time slot) and interrupts the process if it is not completed by then. The process is resumed and moved to the end of the queue, then the scheduler handles the next process in the queue.

For example, we have the following queue with the quantum of 100ms.

A(150) - B(80) - C(200) - D(200)

First, process A is handled for 100ms, then the process is moved to the end of the queue with the remaining time (50ms).

B(80) - C(200) - D(200) - A(50)

Next, process B is handled for 80ms. The process is completed with the time stamp of 180ms and removed from the queue.

C(200) - D(200) - A(50)

Your task is to write a program which simulates the round-robin scheduling.

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.

Constraints

1 ≤ n ≤ 100000

1 ≤ q ≤ 1000

1 ≤ timei ≤ 50000

1 ≤ length of namei ≤ 10

1 ≤ Sum of timei ≤ 1000000

Sample Input 1

5 100
p1 150
p2 80
p3 200
p4 350
p5 20

Sample Output 1

p2 180
p5 400
p1 450
p3 550
p4 800

Notes

Template in C

Solution in C (judge verdict: Accepted)

#include <stdio.h>
#include <string.h>
#define LEN 100005

// プロセスを表す構造体
typedef struct pp{
    char name[100];
    int t;
} P;

// Pと同じ構造で長さがLENの構造体Qを作る
P Q[LEN];
int head, tail, n;

// 引数がPとxであり，xをQの末尾につけ，末尾を指すインデックスの数字を一つ増やし，あまりを取る
void enqueue(P x){
    Q[tail] = x;
    tail = (tail + 1) % LEN;
}

// Pの構造体でxを参照し，Qの先頭をPのxに加え，先頭の大きさを一つt増やす
P dequeue() {
    P x = Q[head];
    head = (head + 1) % LEN;
    return x;
}

int min(int a, int b) { return a < b ? a : b; } //最小値を返す

int main(){
    int elaps = 0, c;
    int i, q;
    P u;
    scanf("%d %d", &n, &q);

    //すべてのプロセスをキューに順番に追加する
    for ( i = 1; i <= n; i++){
        scanf("%s", Q[i].name);
        scanf("%d", &Q[i].t);
    }
    head = 1; tail = n + 1;

    // シミュレーション
    while ( head != tail){
        u = dequeue();
        c = min(q, u.t);  // qまたは必要な時間 u.t だけ処理を行う
        u.t -= c; // 残りの必要時間を計算
        elaps += c;  // 経過時間を加算
        if (u.t > 0) enqueue(u);  // 処理が完了していなければキューに追加
        else{
            printf("%s %d\n", u.name, elaps);  // 名前と経過時間を出力
        }
    }

    return 0;
}