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 C++14 (GCC 5.4.1) (judge verdict: Wrong Answer)

#include<cstdio>  
#include<iostream>  
#include<algorithm>  
#include<cstdlib>  
#include<cstring>
#include<string>
#include<climits>
#include<vector>
#include<cmath>
#include<map>
#define LL long long
 
using namespace std;

LL n,m;
vector<LL> a(m+10);
 
int main()
{
    cin>>n>>m; 
    LL x,y,z;
    for(int i=0;i<n;i++)
	{
		cin>>x>>y;
        z=y-x+1;a[0]+=1;a[z]-=1;
        LL t=z+1,s;
        while(t<=m)
		{
            LL v=((x+t-1)/t);
			if(v <= 0) break;
            s=y/v;
            if(s >= t)
			{
                a[t-1] += 1;
                a[s] -= 1;
            }
            if(v <= 1) break;
            t = max(s+1, (x + (v-1)-1) / (v-1));
        }
    }
    LL ans=0;
    for (int i=0;i<m;i++)
    	ans+=a[i],cout<<ans<<endl;
    return 0;
}