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-----
3 3
1 2
2 3
3 3

-----Sample Output-----
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.

```python

USER_FILENAME = "<user_code>"
import sys, json, builtins
import math, heapq, bisect, itertools, functools, collections, statistics, fractions, decimal, operator, array, random, re, string, os, pathlib
try:
    import resource as _res
except Exception:
    _res = None
from collections import Counter, defaultdict, deque, OrderedDict
from functools import lru_cache, reduce
from itertools import accumulate, permutations, combinations, product
from math import gcd, ceil, floor, sqrt
from decimal import Decimal
try:
    from typing import *
except Exception:
    pass
try:
    sys.setrecursionlimit(1_000_000)
except Exception:
    pass
try:
    import site as _site
    try:
        _sys_sites = _site.getsitepackages() if hasattr(_site, "getsitepackages") else []
        for _p in _sys_sites:
            if _p and _p not in sys.path:
                sys.path.append(_p)
    except Exception:
        pass
    try:
        _usp = _site.getusersitepackages()
        if isinstance(_usp, str):
            _usp = [_usp]
        for _p in _usp:
            if _p and _p not in sys.path:
                sys.path.append(_p)
    except Exception:
        pass
except Exception:
    pass

ns = {"__name__": "__main__"}
for _k, _v in list(globals().items()):
    if not _k.startswith("_"):
        ns[_k] = _v
_CODE = 'import sys\ninput = sys.stdin.readline\nN, M = map(int, input().split())\na = []\nfor i in range(N):\n  l, r = map(int, input().split())\n  a.append((l, r))\na.sort(key = lambda x: x[0] - x[1])\n#print(a)\nclass BIT:\n  def __init__(self, n):\n    self.n = n\n    self.data = [0] * (n + 1)\n    self.el = [0] * (n + 1)\n  def sum(self, i):\n    s = 0\n    while i > 0:\n      s += self.data[i]\n      i -= i & -i\n    return s\n  def add(self, i, x):\n    self.el[i] += x\n    while i <= self.n:\n      self.data[i] += x\n      i += i & -i\n  def get(self, i, j = None):\n    if j is None:\n      return self.el[i]\n    return self.sum(j) - self.sum(i)\n  def lowerbound(self, s):\n    x = 0\n    y = 0\n    for i in range(self.n.bit_length(), -1, -1):\n      k = x + (1 << i)\n      if k <= self.n and (y + self.data[k] < s):\n        y += self.data[k]\n        x += 1 << i\n    return x + 1\nfwk = BIT(M + 1)\nfor l in range(1, M + 1):\n  res = len(a)\n  for x in range(l, M + 1, l): res += fwk.sum(x)\n  while len(a):\n    if a[-1][1] - a[-1][0] <= l:\n      fwk.add(a[-1][0], 1)\n      fwk.add(a.pop()[1] + 1, -1)\n    else: break\n  print(res)'
_co = compile(_CODE, USER_FILENAME, "exec")
exec(_co, ns, ns)

```

Measured memory_bytes: 13615