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 JAVA (judge verdict: Accepted)

import java.io.*;
import java.math.*;
import java.util.*;
import java.util.regex.Matcher;
import java.util.regex.Pattern;
import java.lang.ArrayIndexOutOfBoundsException;

/**
 * @author yoshikyoto
 */
class Main extends MyUtil{
	// public static ArrayList<ArrayList<Integer>> g;
	public static Graph g;
	static int n, q;
	
	public static void main(String[] args) throws Exception{
		int in[] = readIntMap();
		n = in[0]; q = in[1];
		Q<Data> que = new Q<Data>();
		for(int i = 0; i < n; i++)
			que.push(new Data(readLine()));
		
		int count = 0;
		ArrayList<Data> finished = new ArrayList<Data>();
		while(que.size() > 0){
			Data p = que.pop();
			if(p.time > q){
				// タイム超える場合
				p.time -= q;
				count += q;
				que.push(p);
			}else{
				// 超えない場合
				count += p.time;
				p.finishedAt = count;
				finished.add(p);
			}
		}
		
		for(int i = 0; i < n; i++){
			Data p = finished.get(i);
			p(p.name + " " + p.finishedAt);
		}
	}
}

class Data extends MyUtil{
	String name;
	int time, finishedAt;
	Data(String str){
		String[] strs = str.split(" ");
		name = strs[0];
		time = parseInt(strs[1]);
	}
}


class DataComparator implements Comparator<Data>{
    public int compare(Data a, Data b) {
    	return a.finishedAt - b.finishedAt;
    	// a-bで昇順
    	/*
        if (a.point != b.point) {
            return a.point - b.point;
        } else {
        	return a.name.compareTo(b.name);
        }
        */
    }
}

class ArrayComparator implements Comparator<int[]>{
	public int compare(int[] a, int[] b){
		int l = Math.min(a.length, b.length);
		for(int i = 0; i < l; i++){
			if(a[i] == b[i]) continue;
			return b[i] - a[i];
		}
		return 0;
	}
}

class Node extends ArrayList<Edge>{
	int index, depth = -1;
	Node(int index){this.index = index;}
	Node parent;
	boolean visited = false;
}
class Edge{
	int from, to, cost;
	Edge(int from, int to, int cost){
		this.from = from;
		this.to = to;
		this.cost = cost;
	}
}
/*
class NodeComparator implements Comparator<Node>{
	public int compare(Node a, Node b){
		
	}
}*/
class Graph{
	Node n[];
	Graph(int node_count){
		n = new Node[node_count];
		for(int i = 0; i < node_count; i++) n[i] = new Node(i);
	}
	public void add(Edge e){
		n[e.from].add(e);
	}
	public Node get(int i){return n[i];}
	public Node lca(int a, int b){
		// 浅い方をaとする
		Node nodeA, nodeB;
		if(n[a].depth < n[b].depth){
			nodeA = n[a];
			nodeB = n[b];
		}else{
			nodeA = n[b];
			nodeB = n[a];
		}
		
		// 同じ深さまで親をたどる
		int diff = nodeB.depth - nodeA.depth;
		for(int k = 0; k < diff; k++){
			nodeB = nodeB.parent;
		}
		
		// 共通祖先を見つける
		while(nodeA != nodeB){
			nodeA = nodeA.parent;
			nodeB = nodeB.parent;
		}
		return nodeA;
	}
	void calcDepth(int root){
		QI que = new QI();
		que.push(root);
		n[root].depth = 0;
		
		while(que.size() > 0){
			int curr = que.pop();
			Node curr_node = n[curr];
			for(Edge e : curr_node){
				int next = e.to;
				Node next_node = n[next];
				if(next_node.depth == -1){
					next_node.depth = curr_node.depth + 1;
					next_node.parent = curr_node;
					que.push(next);
				}
			}
		}
	}
}



class Regex{
	Pattern p; Matcher m; String str;
	Regex(String regex_str){p = Pattern.compile(regex_str);}
	void setStr(String str){m = p.matcher(str);}
	boolean find(){return m.find();}
	String group(int i){return m.group(i);}
	String group(){return m.group();}
}

/**
 * UnionFindTree Set周りは未実装
 * @author yoshikyoto
 */
class UnionFindTree{
    public int[] parent, rank;
    public int n;
    public Set<Integer> set;
    // 初期化
    UnionFindTree(int _n){
        n = _n;
        for(int i = 0; i < n; i++){
        	parent = new int[n];
        	rank = new int[n];
            parent[i] = i;
            rank[i] = 0;
        }
    }
    // 根を求める
    int find(int x){
        if(parent[x] == x){
            return x;
        }else{
            return parent[x] = find(parent[x]);
        }
    }
    // xとyの集合を結合
    void unite(int x, int y){
        x = find(x);
        y = find(y);
        if(x == y){
            return;
        }
        if(rank[x] < rank[y]){
            parent[x] = y;
        }else{
            parent[y] = x;
            if(rank[x] == rank[y]) rank[x]++;
        }
    }
    // xとyが同じ集合か
    boolean same(int x, int y){
        return find(x) == find(y);
    }
};


/**
 * 整数を数え上げたりするクラス
 * new Prime(int n) でnまでエラトステネスの篩を実行。
 * @author yoshikyoto
 * @param a[i] iが素数の時true
 * @param count[i] i以下の素数の数
 */
class Prime{
	boolean[] a;
	int[] count;
	Prime(int n){
		a = new boolean[n+1];
		a[0] = false; a[1] = false;
		for(int i = 2; i <= n; i++) a[i] = true;
		// ふるい
		for(int i = 2; i < (n - 3) / 2; i++)
			if(a[i]) for(int j = 2; j * i <= n; j++)
					a[j * i] = false;
		
		// 数え上げ
		count = new int[n+1];
		count[0] = 0;
		for(int i = 1; i <= n; i++){
			int gain = 0;
			if(a[i]) gain = 1;
			count[i] = count[i-1] + gain;
		}
	}
	boolean isPrime(int i){return a[i];}
	static boolean calcPrime(int i){
		if(i <= 1) return false;
		if(i == 2) return true;
		if(i % 2 == 0) return false;
		for(int j = 3; j <= Math.sqrt(i); j+=2){
			if(i % j == 0) return false;
		}
		return true;
	}
}

class AI extends ArrayList<Integer>{}
class SI extends Stack<Integer>{}

class CountHashMap<E> extends HashMap<E, Integer>{
	ArrayList<E> keyArray = new ArrayList<E>();
	public void add(E key){add(key, 1);}
	public void add(E key, Integer value){
		if(containsKey(key)){value += get(key);
		}else{keyArray.add(key);}
		put(key, value);
	}
}
class HM extends CountHashMap<String>{} 

class Q<E> extends ArrayDeque<E>{
	public void push(E item){add(item);}
	public E pop(){return poll();}
}
class QS extends Q<String>{}
class QI extends Q<Integer>{}

/**
 * MyUtil
 * @author yoshikyoto
 */
class MyUtil extends MyIO{
	public static Random rand = new Random();
	public static long start_time = 0;
	public static void start(){start_time = System.currentTimeMillis();}
	public static void end(){
		if(start_time == 0) return;
		long time = System.currentTimeMillis() - start_time;
		if(DEBUG) p(time + "ms");
	}
	public static int digit(int n){return String.valueOf(n).length();}
	public static String reverse(String s){
		StringBuffer sb = new StringBuffer(s);
		return sb.reverse().toString();
	}
	public static void sort(int[] a){Arrays.sort(a);}
	public static void dsort(int[] a){
		Arrays.sort(a);
		int l = a.length;
		for(int i = 0; i < l/2; i++){
			int tmp = a[i]; a[i] = a[l-1-i]; a[l-1-i] = tmp;
		}
	}
	public static void sleep(int t){try{Thread.sleep(t);}catch(Exception e){}}
	public static int sum(int[] a){int s = 0; for(int i = 0; i < a.length; i++)s+=a[i]; return s;}
	public static int[] cp(int[] a){
		int[] b = new int[a.length];
		for(int i = 0; i < a.length; i++) b[i] = a[i];
		return b;
	}
	public static int randomInt(int min, int max){return min + rand.nextInt(max - min + 1);}
	static boolean inside(int y, int x, int h, int w){return 0 <= y && y <= (h-1) && 0 <= x && x <= (w-1);};
	public static boolean isUpper(char c){return 'A'<=c&&c<='Z';}
	public static boolean isLower(char c){return 'a'<=c&&c<='z';}
	public static char toUpper(char c){
		if(isLower(c)) return (char)(c - 'a' + 'A');
		return c;
	}
	public static char toLower(char c){
		if(isUpper(c)) return (char)(c - 'A' + 'a');
		return c;
	}
	public static int[] swap(int[] arr, int i, int j){
		int[] ret = cp(arr);
		int tmp = ret[i];
		ret[i] = ret[j];
		ret[j] = tmp;
		return ret;
	}
}

/**
 * MyIO
 * @author yoshikyoto
 */
class MyIO extends MyMath{
	static Scanner sc = new Scanner(new InputStreamReader(System.in));
	public static char scNextChar(){return sc.next().charAt(0);}
	static BufferedReader br = new BufferedReader(new InputStreamReader(System.in));
	public static boolean DEBUG = false;
	public static String line;
	public static void debug(){DEBUG = !DEBUG;};
	public static int[] readIntMap() throws IOException{return parseInt(readLine().split(" "));}
	public static int[] readIntMap(int n) throws IOException{
		int[] ret = new int[n];
		for(int i = 0; i < n; i++) ret[i] = readInt();
		return ret;
	}
	public static int[] readNoDistIntMap() throws IOException{
		String[] strs = readLine().split("");
		int l = strs.length;
		int[] ret = new int[l-1];
		for(int i = 1; i < l; i++)
			ret[i-1] = parseInt(strs[i]);
		return ret;
	}
	public static boolean readToLine() throws IOException{return (line = br.readLine()) != null;}
	public static String readLine() throws IOException{return br.readLine();}
	public static int readInt() throws IOException{return Integer.parseInt(br.readLine());}
	public static void p(Object o){System.out.println(o.toString());}
	public static void pr(Object o){System.out.print(o.toString());}
	public static void d(Object o){if(DEBUG)System.out.println(o.toString());}
	public static void dr(Object o){if(DEBUG)System.out.print(o.toString());}
	public static void da(Object[] o){if(DEBUG)System.out.println(Arrays.toString(o));}
	public static void da(int[] arr){if(DEBUG)System.out.println(Arrays.toString(arr));}
	public static void da(double[] arr){if(DEBUG)System.out.println(Arrays.toString(arr));}
	public static void da(boolean[] arr){if(DEBUG)System.out.println(Arrays.toString(arr));}
	public static int[] parseInt(String[] arr){
		int[] res = new int[arr.length];
		for(int i = 0; i < arr.length; i++)res[i] = Integer.parseInt(arr[i]);
		return res;
	}
	public static double[] parseDouble(String[] arr){
		double[] res = new double[arr.length];
		for(int i = 0; i < arr.length; i++)res[i] = Double.parseDouble(arr[i]);
		return res;
	}
	public static boolean[] parseBool(String[] arr){
		int[] t = parseInt(arr);
		boolean[] res = new boolean[t.length];
		for(int i = 0; i < t.length; i++){
			if(t[i] == 1){res[i] = true;
			}else{res[i] = false;}
		}
		return res;
	}
	public static int parseInt(Object o){return Integer.parseInt(o.toString());}
	public static PrintWriter getFilePrintWriter(String file) throws IOException{
		FileWriter fw = new FileWriter(file);
		BufferedWriter bw = new BufferedWriter(fw);
		PrintWriter pw = new PrintWriter(bw);
		return pw;
	}
	public static BufferedReader getFileBufferdReader(String file) throws FileNotFoundException{
		FileReader fr = new FileReader(file);
		BufferedReader br = new BufferedReader(fr);
		return br;
	}
}

class MyMath{
	/**
	 * 弧度法の角度を入力してsinの値を返す（Math.sin の入力はラジアン）
	 */
	public static double sin(int r){return Math.sin(Math.toRadians(r));}

	/**
	 * 弧度法の角度を入力してcosの値を返す（Math.sin の入力はラジアン）
	 */
	public static double cos(int r){return Math.cos(Math.toRadians(r));}
	public static int max(int a, int b){return Math.max(a, b);}
	public static int min(int a, int b){return Math.min(a, b);}
	public static int max(int[] arr){return max(arr, 0, arr.length-1);}
	public static int max(int[] arr, int l, int r){
		int max = arr[l];
		for(int i = l+1; i <= r; i++)
			max = Math.max(max, arr[i]);
		return max;
	}
	public static int min(int[] arr){return min(arr, 0, arr.length-1);}
	public static int min(int[] arr, int l, int r){
		int min = arr[l];
		for(int i = l+1; i <= r; i++)
			min = Math.min(min, arr[i]);
		return min;
	}
	public static boolean isCross(int x1, int y1, int x2, int y2, int x3, int y3, int x4, int y4){
	    // 並行な場合
	    int m = (x2-x1)*(y4-y3)-(y2-y1)*(x4-x3);
	    if(m == 0) return false;
	    // 媒介変数の値が0より大きく1以下なら交差する、これは問題の状況によって変わるかも。
	    double r =(double)((y4-y3)*(x3-x1)-(x4-x3)*(y3-y1))/m;
	    double s =(double)((y2-y1)*(x3-x1)-(x2-x1)*(y3-y1))/m;
	    return (0 < r && r <= 1 && 0 < s && s <= 1);
	}
	public static boolean isParallel(int x1, int y1, int x2, int y2, int x3, int y3, int x4, int y4){
	    if((x2-x1)*(y4-y3) == (y2-y1)*(x4-x3)) return true;
	    else return false;
	}
	public static double sq(double d){return d*d;}
	public static int sq(int i){return i*i;}
	public static int sqdist(int x1, int y1, int x2, int y2){
		return sq(x1-x2) + sq(y1-y2);}
	public static double sqdist(double x1, double y1, double x2, double y2){
		return sq(x1-x2) + sq(y1-y2);}
	public static double dist(int x1, int y1, int x2, int y2){
		return Math.sqrt(sqdist(x1, y1, x2, y2));}
	public static double dist(double x1, double y1, double x2, double y2){
		return Math.sqrt(sqdist(x1, y1, x2, y2));}
	long comb(long n, long m){
		if(n < m) return 0;
    	long c = 1; m = (n - m < m ? n - m : m);
    	for(long ns = n - m + 1, ms = 1; ms <= m; ns ++, ms ++){c *= ns; c /= ms;}
    	return c;
    }
	static int gcd(int a, int b){if(a%b==0){return(b);}else{return(gcd(b,a%b));}};

}