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



Sample input:
3 3
1 2
2 3
3 3


Sample output:
3
2
2

Submission status: Runtime Error

Solution code:
import math,string,itertools,fractions,heapq,collections,re,array,bisect,sys,random,time,copy,functools

sys.setrecursionlimit(10**7)
inf = 10**20
eps = 1.0 / 10**15
mod = 10**9+7

def LI(): return [int(x) for x in sys.stdin.readline().split()]
def LI_(): return [int(x)-1 for x in sys.stdin.readline().split()]
def LF(): return [float(x) for x in sys.stdin.readline().split()]
def LS(): return sys.stdin.readline().split()
def I(): return int(sys.stdin.readline())
def F(): return float(sys.stdin.readline())
def S(): return input()
def pf(s): return print(s, flush=True)

class BIT():
    def __init__(self, n):
        i = 1
        while 2**i <= n:
            i += 1
        self.H = i
        self.N = 2**i
        self.A = [0] * self.N

    def find(self, i):
        r = 0
        while i:
            r += self.A[i]
            i -= i & (i-1) ^ i
        return r

    def update(self, i, x):
        while i < self.N:
            self.A[i] += x
            i += i & (i-1) ^ i

    def query(self, a, b):
        return self.find(b-1) - self.find(a-1)

def main():
    n,m = LI()
    d = collections.defaultdict(list)
    for _ in range(n):
        l,r = LI()
        d[r-l+1].append((l,r))
    r = [n]
    bit = BIT(n+3)
    c = n
    for i in range(2,m+1):
        for a,b in d[i-1]:
            c -= 1
            bit.update(a,1)
            bit.update(b+1,-1)
        t = c
        for j in range(i,m+1,i):
            t += bit.find(j)
        r.append(t)

    return '\n'.join(map(str,r))


print(main())

Submission status: Runtime Error

Solution code:
import sys

print("弁当の種類を指定してください：")
bentoType = int(sys.stdin.readline())
print("駅の合計数を指定してください：")
stationCnt = int(sys.stdin.readline())

startSta = 0
endSta = 0
array = []
for i in range(1, bentoType + 1) :
    bentoMap = {}
    print("弁当" + str(i) + "の開始駅を指定してください：")
    startSta = int(sys.stdin.readline())
    print("弁当" + str(i) + "の終了駅を指定してください：")
    endSta = int(sys.stdin.readline())

    for start in range(startSta, endSta + 1, 1) :
        bentoMap.update({str(start): 1})
    array.append(bentoMap)
bentoCnt = 0
for n in range(1, stationCnt + 1, 1) :
    bentoCnt = 0
    for outMap in array :
        for m in range(0, stationCnt + 1, n) :
            if str(m) in outMap :
                bentoCnt += 1
                break
    print("弁当" + str(n) + ":")
    print(bentoCnt)