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: Accepted)

#include <cmath>
#include <iostream>
#include <cstdio>
#include <cstdlib>
#include <cstring>
#include <algorithm>
#include <queue>
#include <map>
#include <bitset>
#include <set>
#include <vector>
const int inf=2147483647;
const int mo=1e9+7;
const int N=300005;
const int M=100005;
using namespace std;
struct Rec{
    int l,r;
    friend bool operator < (Rec x,Rec y)
    {return (x.r-x.l+1)<(y.r-y.l+1);}
}a[N];
int n,m,ans;
namespace BIT{
    int c[M];
    int mx;
    void init(int _n){mx=_n; memset(c,0,sizeof(c));}
    void insert(int x,int delta){for (;x<=mx;x+=x&-x) c[x]+=delta;}
    void update(int l,int r){insert(l,1); insert(r+1,-1);}
    int query(int x){
        int ret=0;
        for (;x;x-=x&-x) ret+=c[x];
        return ret;
    }
}
void solve(){
    int now=1;
    for (int i=1;i<=m;++i){
        while (a[now].r-a[now].l+1<=i&&now<=n){
            BIT::update(a[now].l,a[now].r);
            ++now;
        }
        ans=n-now+1;
        for (int j=i;j<=m;j+=i){
            ans+=BIT::query(j);
        }
        printf("%d\n",ans);
    }
}

int main(){
	//freopen("arc068e.in","r",stdin);
	//freopen("arc068e.out","w",stdout);
    scanf("%d%d",&n,&m);
    for (int i=1;i<=n;++i)
        scanf("%d%d",&a[i].l,&a[i].r);
    sort(a+1,a+1+n);
    BIT::init(m+1);
    solve();
}