Problem:
Score : 700 points

Problem Statement

Snuke has decided to play a game, where the player runs a railway company.
There are M+1 stations on Snuke Line, numbered 0 through M.
A train on Snuke Line stops at station 0 and every d-th station thereafter, where d is a predetermined constant for each train.
For example, if d = 3, the train stops at station 0, 3, 6, 9, and so forth.

There are N kinds of souvenirs sold in areas around Snuke Line. The i-th kind of souvenirs can be purchased when the train stops at one of the following stations: stations l_i, l_i+1, l_i+2, ..., r_i.

There are M values of d, the interval between two stops, for trains on Snuke Line: 1, 2, 3, ..., M.
For each of these M values, find the number of the kinds of souvenirs that can be purchased if one takes a train with that value of d at station 0.
Here, assume that it is not allowed to change trains.

Constraints

1 ≦ N ≦ 3 × 10^{5}

1 ≦ M ≦ 10^{5}

1 ≦ l_i ≦ r_i ≦ M

Input

The input is given from Standard Input in the following format:

N M
l_1 r_1
:
l_{N} r_{N}

Output

Print the answer in M lines. The i-th line should contain the maximum number of the kinds of souvenirs that can be purchased if one takes a train stopping every i-th station.

Sample Input 1

3 3
1 2
2 3
3 3

Sample Output 1

3
2
2

If one takes a train stopping every station, three kinds of souvenirs can be purchased: kind 1, 2 and 3.

If one takes a train stopping every second station, two kinds of souvenirs can be purchased: kind 1 and 2.

If one takes a train stopping every third station, two kinds of souvenirs can be purchased: kind 2 and 3.

Sample Input 2

7 9
1 7
5 9
5 7
5 9
1 1
6 8
3 4

Sample Output 2

7
6
6
5
4
5
5
3
2

Solution in Ruby (2.3.3) (judge verdict: Runtime Error)

import java.util.ArrayList;
import java.util.HashMap;
import java.util.Map;
import java.util.Scanner;
public class Main{
        public static void main(String[] args) {
                int bentoType = 0;
                int stationCnt = 0;
                Scanner scanner = new Scanner(System.in);
                System.out.print("弁当の種類を指定してください：");
                bentoType = scanner.nextInt();
                System.out.print("駅の合計数を指定してください：");
                stationCnt = scanner.nextInt();

                Map<Integer, Integer> bentoMap = null;
                ArrayList<Map<Integer, Integer>> array = new
ArrayList<Map<Integer, Integer>>();
                int startSta = 0;
                int endSta = 0;
                System.out.println("AAA:"+bentoType);
                for(int i = 1; i <= bentoType; i++){
                        bentoMap = new HashMap<Integer, Integer>();
                        System.out.print("弁当"+i+"の開始駅を指定してくださ
い：");
                        startSta = scanner.nextInt();
                        System.out.print("弁当"+i+"の終了駅を指定してくださ
い：");
                        endSta = scanner.nextInt();
                        for(int start = startSta; start <= endSta; start++){
                                bentoMap.put(start, 1);
                        }
                        array.add(bentoMap);
                }
                int bentoCnt = 0;
                // 飛ばす駅数のループ
                for(int n = 1; n <= stationCnt; n++){
                        bentoCnt = 0;
                        // 種類のループ
                        for(Map<Integer, Integer> outMap : array){
//                              System.out.print("[");
                                //到着する駅でのループ
                                for(int m = 0; m <= stationCnt; m +=n){
                                        if(outMap.containsKey(m)){
                                                bentoCnt++;
//                                              System.out.print(m);
                                                break;
                                        }
                                }
//                              System.out.print("],");
                        }
//                      System.out.print(" = ");
                        System.out.println(bentoCnt);
                }
                scanner.close();
        }
}