Harryxun/sft_time huggingface dataset:
### BUGGY CODE ###

import bisect
import math

#####segfunc######
def segfunc(x,y):    
    return x+y

def init(init_val):
    #set_val
    for i in range(n):
        seg[i+num-1]=init_val[i]    
    #built
    for i in range(num-2,-1,-1) :
        seg[i]=segfunc(seg[2*i+1],seg[2*i+2]) 
    
def update(k,x):
    k += num-1
    seg[k] = x
    while k:
        k = (k-1)//2
        seg[k] = segfunc(seg[k*2+1],seg[k*2+2])
    
def query(p,q):
    if q<=p:
        return ide_ele
    p += num-1
    q += num-2
    res=ide_ele
    while q-p>1:
        if p&1 == 0:
            res = segfunc(res,seg[p])
        if q&1 == 1:
            res = segfunc(res,seg[q])
            q -= 1
        p = p//2
        q = (q-1)//2
    if p == q:
        res = segfunc(res,seg[p])
    else:
        res = segfunc(segfunc(res,seg[p]),seg[q])
    return res

#####単位元######
ide_ele = 0
#input
data = []
n, d, a = map(int, input().split())
x_point = []
for i in range(n):
    x, h = map(int, input().split())
    data.append([x,h])
    x_point.append(x)
x_point.sort()
data.sort()
##初期化
num =2**(n-1).bit_length()
seg=[ide_ele]*2*num
ans = 0
for i in range(n):
    x, h = data[i]
    index = bisect.bisect_left(x_point, x - 2*d)
    sum_damage = query(index, i)
    h -= sum_damage
    count = max(math.ceil(h/a), 0)
    ans += count
    update(i, count * a)
print(ans)

### FIXED CODE ###

from collections import deque
import math
n, d, a = map(int, input().split())
data = []
for i in range(n):
    data.append(list(map(int, input().split())))
data.sort()
dam = 0
ans = 0
q = deque()
for i in range(n):
    x,h = data[i]
    while q:
        k = q.popleft()
        if k[1] >= x:
            q.appendleft(k)
            break
        else:
            dam -= k[0]
    h -= dam
    h = max(h, 0)
    count = math.ceil(h / a)
    dam += count * a
    q.append([count * a, x + 2*d])
    ans += count
print(ans)
### BUGGY CODE ###

a, b, x = map(int, input().split())
num_list = [i for i in range(a, b + 1)]
count = 0
for num in num_list:
	if num % x == 0:
		count = count + 1
print(count)

### FIXED CODE ###

a, b, x = map(int, input().split())
br = b//x
ar = (a-1)//x
print(br-ar)
### BUGGY CODE ###

import sys

sys.setrecursionlimit(10 ** 7)
f_inf = float('inf')
mod = 10 ** 9 + 7


def resolve():
    def dfs(v, c):
        for u in edge[v]:
            if color[u] is None:
                color[u] = c
                dfs(u, c ^ 1)
            else:
                if color[u] != c:
                    print(-1)
                    exit()

    n = int(input())
    S = [list(input()) for _ in range(n)]
    edge = [[] for _ in range(n)]
    for i in range(n):
        for j in range(n):
            if S[i][j] == "1":
                edge[i].append(j)
                edge[j].append(i)

    color = [None] * n
    dfs(0, 0)
    for i in range(n):
        for j in range(n):
            if i == j:
                S[i][j] = 0
            else:
                S[i][j] = f_inf if S[i][j] == "0" else 1

    for k in range(n):
        for i in range(n):
            for j in range(n):
                S[i][j] = min(S[i][j], S[i][k] + S[k][j])

    res = 0
    for s in S:
        res = max(res, max(s))
    print(res + 1)


if __name__ == '__main__':
    resolve()


### FIXED CODE ###

import sys
from collections import deque

sys.setrecursionlimit(10 ** 7)
f_inf = float('inf')
mod = 10 ** 9 + 7


def resolve():
    def dfs(v, graph, cur=0):
        color[v] = cur
        for u in graph[v]:
            if color[u] != -1:
                if color[u] == cur:
                    return False
                continue
            if not dfs(u, graph, 1 - cur):
                return False
        return True

    n = int(input())
    S = [list(input()) for _ in range(n)]
    edge = [[] for _ in range(n)]
    cost = [[f_inf] * n for _ in range(n)]
    for i in range(n):
        for j in range(n):
            if i == j:
                cost[i][j] = 0
            if S[i][j] == "1":
                edge[i].append(j)
                cost[i][j] = 1

    color = [-1] * n
    if not dfs(0, edge):
        print(-1)
        exit()

    for k in range(n):
        for i in range(n):
            for j in range(n):
                cost[i][j] = min(cost[i][j], cost[i][k] + cost[k][j])

    res = 0
    for i in range(n):
        res = max(res, max(cost[i]))
    print(res + 1)


if __name__ == '__main__':
    resolve()
### BUGGY CODE ###

from itertools import combinations

n = int(input())
arr = list(map(int, input().split()))

ans = 0
for a, b, c in combinations(arr, 3):
    if a < b + c and b < c + a and c < a + b:
        ans += 1

print(ans)

### FIXED CODE ###

from bisect import bisect_left
import copy

n = int(input())
l = list(map(int, input().split()))
l.sort()


ans = 0
for small in range(n - 2):
    for mid in range(small + 1, n - 1):
        div = bisect_left(l, l[small] + l[mid], 0, n)
        if div > mid + 1:
            ans += div - mid - 1

print(ans)
### BUGGY CODE ###

import re
S = input()

result = 0
while re.search(r'01|10', S):
    count = len(re.findall(r'01|10', S))
    S = re.sub(r'01|10', '', S, count)
    result += 2 * count
print(result)


### FIXED CODE ###

S = input()
temp0 = S[:int(len(S)/2)]
temp1 = S[int(len(S)/2):]
temp01 = min(temp0.count('0'), temp1.count('1'))
temp10 = min(temp0.count('1'), temp1.count('0'))
print(temp01 * 2 + temp10 * 2)
### BUGGY CODE ###

#! /usr/bin/env python
# -*- coding: utf-8 -*-

def SearchIdx(s, c):
    idx = []
    for i in range(0,len(s)):
        if(s[i] == c):
            idx.append(i)
    return idx
if __name__ == '__main__':
    N, Q = map(int, input().split()) # N, Q for number
    sN = list(input())
    golems = []
    for i in range(0,N): # init golem
        golems.append({'id':i, 'loc': i, 'location': sN[i]})

    sQ = []
    for i in range(0, Q):
        t, d = input().split()
        sQ.append({'t': t, 'd': d})
    for q in sQ: # loop to handle Q
        for g in golems:
            if(g['loc'] >= 0 and sN[g['loc']] == q['t']):
                if(q['d'] == 'L'):
                    if(g['loc'] <= 0):
                        g['loc'] = -1
                        g['location'] = ''
                    else:
                        g['loc'] = g['loc'] -1
                        g['location'] = sN[g['loc']]
                elif(q['d'] == 'R'):
                    if(g['loc'] >= N -1):
                        g['loc'] = -1
                        g['location'] = ''
                    else:
                        g['loc'] = g['loc'] + 1
                        g['location'] = sN[g['loc']]

    remain = len(golems)
    for g in golems:
        if(g['loc'] == -1):
            remain = remain - 1

    print(remain)

### FIXED CODE ###

#! /usr/bin/env python
# -*- coding: utf-8 -*-

sN = []
sQ = []
dQ = []
Q = 0
N = 0


def gor(pos):
    for i in range(Q):
        if sN[pos] == sQ[i]:
            if dQ[i] == 'R':
                pos = pos + 1
            else:
                pos = pos - 1

            if pos < 0:
                return False
            if pos > N - 1:
                return True

    return False


def getr():
    l = 0
    r = N - 1
    res = N
    while r >= l:
        mid = (l + r) // 2
        if gor(mid):
            res = mid
            r = mid - 1
        else:
            l = mid + 1
    return res


def gol(pos):
    for i in range(Q):
        if sN[pos] == sQ[i]:
            if dQ[i] == 'L':
                pos = pos - 1
            else:
                pos = pos + 1

            if pos > N - 1:
                return False
            if pos < 0:
                return True

    return False


def getl():
    l = 0
    r = N - 1
    res = -1
    while l <= r:
        mid = (l + r) // 2
        if gol(mid):
            res = mid
            l = mid + 1
        else:
            r = mid - 1
    return res


if __name__ == '__main__':
    N, Q = map(int, input().split())  # N, Q for number

    sN = input()  # squares

    for i in range(0, Q):
        t, d = input().split()
        sQ.append(t)
        dQ.append(d)
        #sQ.append({'t': t, 'd': d})

    removed_l = getl() + 1
    removed_r = N - getr()

    print(N - removed_l - removed_r)
### BUGGY CODE ###

N=int(input())
A=list(map(int,input().split()))
Q=int(input())
BC=[]
for i in range(Q):
    b,c=(map(int,input().split()))
    BC.append([b,c])

#最初に全探索で位置をインデックスに登録する
DP=[[] for _ in range(10**5+1)]
for i in range(len(A)):
    DP[A[i]].append(i)#
ans=sum(A)
for i in BC:
    target=i[0]
    nex=i[1]
    for j in DP[target]:
        A[j]=nex
        DP[nex].append(j)
        ans-=target
        ans+=nex
    print(ans)
    DP[target]=[]

### FIXED CODE ###

N=int(input())
A=list(map(int,input().split()))
Q=int(input())
BC=[]
for i in range(Q):
    b,c=(map(int,input().split()))
    BC.append([b,c])

#最初に全探索で位置をインデックスに登録する
DP=[0]*(10**5+1)
for i in A:
    DP[i]+=1#
ans=sum(A)
for i in BC:
    target=i[0]
    nex=i[1]
    num=DP[target]
    DP[target]=0
    DP[nex]=DP[nex]+num
    ans=ans+num*nex-num*target
    print(ans)
### BUGGY CODE ###

n = int(input())
ans = 0
for i in range(n):
  ans += i
print(ans)

### FIXED CODE ###

n = int(input())
print((n * (n-1))//2)
### BUGGY CODE ###

S = input()
N = len(S)
m = 10**9 + 7

dp = [[0]*(N+1) for _ in range(13)]
dp[0][0] = 1

for i in range(N):
    for j in range(13):
        digit = S[N-1-i]
        if digit == '?':
            for k in range(10):
                d = (j+k*pow(10,i,13)%13)%13
                dp[d][i+1] += dp[j][i]
                dp[d][i+1] %= m

        else:
            k = int(digit)
            d = (j+k*pow(10,i,13)%13)%13
            dp[d][i+1] += dp[j][i]
            dp[d][i+1] %= m
print(dp[5][N])

### FIXED CODE ###

#!/usr/bin/env python3
from collections import deque, Counter
from heapq import heappop, heappush
from bisect import bisect_right

def main():
    S = input()
    N = len(S)
    p = 10**9 + 7
    dp = [[0]*13 for _ in range(N+1)]
    dp[0][0] = 1

    for i in range(N):
        if S[i] == '?':
            for j in range(13):
                for k in range(10):
                    dp[i+1][(10*j+k)%13] += dp[i][j]
                    dp[i+1][(10*j+k)%13] %= p
        else:
            s = int(S[i])
            for j in range(13):
                dp[i+1][(10*j+s)%13] = dp[i][j]
    print(dp[N][5])
    

if __name__ == "__main__":
    main()
### BUGGY CODE ###

import numpy as np

def product(list):
    p = 1
    for i in list:
        p *= i
    return p


n = int(input())
a = list(map(int, input().split()))
sum = 0
for i in range(len(a)-1):
    for j in range(i+1,len(a)):
        sum += a[i]*a[j]
        
ans = np.mod(sum,10**9+7)

print(ans)



### FIXED CODE ###


n = int(input())
a = list(map(int, input().split()))

MOD = 10 ** 9 + 7

sum = sum(a) % MOD
ans = 0

for i in range(len(a)):
    sum -= a[i]
    sum %= MOD
    ans += a[i] * sum
    ans %= MOD

print(ans)
### BUGGY CODE ###

N,K= map(int,input().split())
H= list(map(int,input().split()))

def dpinit(ps, val=0):
    res = [val for i in [0]*ps[-1]]
    for i in ps[:-1][::-1]:
        res = [res.copy() for k in [0]*i]
    return res

H = [0] + H + [0]
dp = dpinit((N+2,K+2))

for i in range(1,N+2):
    for j in range(K+1):
        l = min(j+1,i)
        cand = [dp[i-k][j-k+1] + max(0, H[i]-H[i-k]) for k in range(1,l+1)]
        dp[i][j] = min(cand)

print(dp[N+1][K])



### FIXED CODE ###

N,K= map(int,input().split())
H= list(map(int,input().split()))

def dpinit(ps, val=0):
    res = [val for i in [0]*ps[-1]]
    for i in ps[:-1][::-1]:
        res = [res[:] for k in [0]*i]
    return res

H = [0] + H + [0]
dp = dpinit((N+2,K+2))

for i in range(1,N+2):
    for j in range(K+1):
        l = min(j+1,i)
        cand = [dp[i-k][j-k+1] + max(0, H[i]-H[i-k]) for k in range(1,l+1)]
        dp[i][j] = min(cand)

print(dp[N+1][K])
### BUGGY CODE ###

import sys
input = sys.stdin.readline
import collections
import fractions
from fractions import Fraction
from collections import defaultdict
import math

n=int(input())
a= [list(map(int, input().split())) for i in range(n)]
b=defaultdict(int)
c=defaultdict(int)
b0=0
c0=0
mod=1000000007
ans=1
cnt=0
for i,j in a:
    if i!=0 and j!=0:
        x=i
        y=j
        i //= math.gcd(x, y)
        j //= math.gcd(x, y)
        b[Fraction(i,j)]+=1
        c[Fraction(j,i)]+=1
    elif i==0 and j!=0:
        b0+=1
    elif i!=0 and j==0:
        c0+=1
    else:
        cnt+=1
w=[]
if c0!=0 or b0!=0:
    ans*=pow(2,c0+b0)-((pow(2,c0)-1)*(pow(2,b0)-1))


for k,v in b.items():
    if c[-k]!=0:
        ans*=((pow(2,c[-k]+v)-(pow(2,c[-k])-1)*(pow(2,v)-1)))
        w.append((pow(2,c[-k]+v)-(pow(2,c[-k])-1)*(pow(2,v)-1)))
        ans%=mod
    else:
        ans*=pow(2,v)
        ans%=mod

w=collections.Counter(w)
w=list(w.most_common())

for i,j in w:
    for k in range(j//2):
        ans*=pow(i,mod-2,mod)
ans+=cnt-1
print(int(ans%mod))

### FIXED CODE ###

import sys
input = sys.stdin.readline
import collections
import fractions
from collections import defaultdict
import math

n=int(input())
a= [list(map(int, input().split())) for i in range(n)]
b=defaultdict(int)
c=defaultdict(int)
b0=0
c0=0
mod=1000000007
ans=1
cnt=0
for i,j in a:
    if i!=0 and j!=0:
        x=i
        y=j
        i //= math.gcd(x, y)
        j //= math.gcd(x, y)
        i=abs(i)
        j=abs(j)
        if x*y>0:
            b[(i,j,0)]+=1
            c[(j,i,1)]+=1
        else:
            b[(i,j,1)]+=1
            c[(j,i,0)]+=1

    elif i==0 and j!=0:
        b0+=1
    elif i!=0 and j==0:
        c0+=1
    else:
        cnt+=1
w=[]
if c0!=0 or b0!=0:
    ans*=pow(2,c0+b0)-((pow(2,c0,mod)-1)*(pow(2,b0,mod)-1))

for k,v in b.items():
    if c[k]!=0:
        ans*=(pow(2,c[k]+v,mod)-(pow(2,c[k],mod)-1)*(pow(2,v,mod)-1))
        w.append((pow(2,c[k]+v,mod)-(pow(2,c[k],mod)-1)*(pow(2,v,mod)-1)))
        ans%=mod
    else:
        ans*=pow(2,v,mod)
        ans%=mod

w=collections.Counter(w)
w=list(w.most_common())
for i,j in w:
    for k in range(j//2):
        ans*=pow(i,mod-2,mod)
ans+=cnt-1
print(int(ans%mod))
### BUGGY CODE ###

import sys
from collections import defaultdict, Counter, namedtuple, deque
import itertools
import functools
import bisect
import heapq
import math
# from fractions import gcd

MOD = 10 ** 9 + 7
# MOD = 998244353
# sys.setrecursionlimit(10**8)


def make_divisors(n):
    divisors = [1]
    for i in range(2, int(n**0.5)+1):
        if n % i == 0:
            divisors.append(i)
            if i*i != n:
                divisors.append(n//i)

    # divisors.sort()
    return divisors


N = int(input())
A = list(map(int, input().split()))
setA = set(A)
countA = Counter(A)
if countA[1] == 1:
    print(1)
    exit()

count = 0
for num in A:
    if countA[num] >= 2:
        continue
    divisors = make_divisors(num)
    if all((e not in setA) for e in divisors):
        count += 1

print(count)


### FIXED CODE ###

import sys
from collections import defaultdict, Counter, namedtuple, deque
import itertools
import functools
import bisect
import heapq
import math
# from fractions import gcd

MOD = 10 ** 9 + 7
# MOD = 998244353
# sys.setrecursionlimit(10**8)


N = int(input())
A = list(map(int, input().split()))
A.sort()
countA = Counter(A)
maxA = A[-1]
# if countA[1] == 1:
#     print(1)
#     exit()

ef = [True]*(maxA+1)
count = 0
prev = -1
for num in A:
    if num == prev:
        continue
    if ef[num] and countA[num] == 1:
        count += 1

    b = 2*num
    while b <= maxA:
        ef[b] = False
        b += num

    prev = num

print(count)
### BUGGY CODE ###

class DisjointSet:
    def __init__(self, size):
        self.parent = list(range(size))
        self.rank = [0]*size
    
    def find(self, x):
        if self.parent[x] == x:
            return x
        else:
            self.parent[x] = self.find(self.parent[x])
            return self.parent[x]

    def union(self, x, y):
        xr, yr = self.find(x), self.find(y)
        
        if self.rank[xr] > self.rank[yr]:
            self.parent[yr] = xr
        elif self.rank[xr] < self.rank[yr]:
            self.parent[xr] = yr
        elif xr != yr:
            self.parent[yr] = xr
            self.rank[xr] += 1

from collections import defaultdict
from itertools import chain
from bisect import bisect

N = int(input())
points = tuple(tuple(map(int,input().split())) for _ in range(N))

ds = DisjointSet(N)

x_i = sorted((x,i) for i,(x,y) in enumerate(points))
y_i = sorted((y,i) for i,(x,y) in enumerate(points))

xr = [x_i[0]]
yr = [y_i[0]]

for (x0,i0),(x1,i1) in zip(x_i,x_i[1:]):
    if x0 == x1:
        ds.union(i0,i1)
    else:
        xr.append((x1,i1))

for (y0,i0),(y1,i1) in zip(y_i,y_i[1:]):
    if y0 == y1:
        ds.union(i0,i1)
    else:
        yr.append((y1,i1))

deltas = sorted(
        chain(
            ((x1-x0,i0,i1) for (x0,i0), (x1,i1) in zip(xr,xr[1:])),
            ((y1-y0,i0,i1) for (y0,i0), (y1,i1) in zip(yr,yr[1:])),
        )
    )


def it():
    for d,i0,i1 in deltas:
        if ds.find(i0) != ds.find(i1):
            ds.union(i0,i1)
            yield d
print(sum(it()))

### FIXED CODE ###

class DisjointSet:
    def __init__(self, size):
        self.parent = list(range(size))
        self.rank = [0]*size
    
    def find(self, x):
        if self.parent[x] == x:
            return x
        else:
            self.parent[x] = self.find(self.parent[x])
            return self.parent[x]

    def union(self, x, y):
        xr, yr = self.find(x), self.find(y)
        
        if self.rank[xr] > self.rank[yr]:
            self.parent[yr] = xr
        elif self.rank[xr] < self.rank[yr]:
            self.parent[xr] = yr
        elif xr != yr:
            self.parent[yr] = xr
            self.rank[xr] += 1

from itertools import chain

N = int(input())
points = tuple(tuple(map(int,input().split())) for _ in range(N))
ds = DisjointSet(N)

x_i = sorted((x,i) for i,(x,y) in enumerate(points))
y_i = sorted((y,i) for i,(x,y) in enumerate(points))

xr = [x_i[0]]
yr = [y_i[0]]

for (x0,i0),(x1,i1) in zip(x_i,x_i[1:]):
    if x0 == x1:
        ds.union(i0,i1)
    else:
        xr.append((x1,i1))

for (y0,i0),(y1,i1) in zip(y_i,y_i[1:]):
    if y0 == y1:
        ds.union(i0,i1)
    else:
        yr.append((y1,i1))

deltas = sorted(
        chain(
            ((x1-x0,i0,i1) for (x0,i0), (x1,i1) in zip(xr,xr[1:])),
            ((y1-y0,i0,i1) for (y0,i0), (y1,i1) in zip(yr,yr[1:])),
        )
    )


def it():
    for d,i0,i1 in deltas:
        if ds.find(i0) != ds.find(i1):
            ds.union(i0,i1)
            yield d
print(sum(it()))
### BUGGY CODE ###

N = int(input())
f = True
for h in range(1,3501):
  for n in range(1,3501):
    w_ = (-(h+n)/(h*n) + 4/N)
    if w_ > 0:
      w = (1/w_)
      if w%1 < 10E-8:
        print(h,n,int(w))
        f = False
        break
  if not f:
    break

### FIXED CODE ###

N = int(input())
f = True
for h in range(1,3501):
  for n in range(1,3501):
    w_ = (-(h+n)/(h*n) + 4/N)
    if w_ > 0:
      w = (1/w_)
      if w%1 < 10E-8:
        print(h,n,int(w))
        f = False
        break
  if not f:
    break
### BUGGY CODE ###

import os
import sys

if os.getenv("LOCAL"):
    sys.stdin = open("_in.txt", "r")

sys.setrecursionlimit(10 ** 9)
INF = float("inf")
IINF = 10 ** 18
MOD = 10 ** 9 + 7
# MOD = 998244353

N, V, U = list(map(int, sys.stdin.buffer.readline().split()))
AB = [list(map(int, sys.stdin.buffer.readline().split())) for _ in range(N - 1)]

V -= 1
U -= 1
graph = [[] for _ in range(N)]
for a, b in AB:
    a -= 1
    b -= 1
    graph[a].append(b)
    graph[b].append(a)

# 深い方に逃げるべき
# 子どものうち一番深い場所の深さ
children_depths = [-1 for _ in range(N)]
parents = [None for _ in range(N)]


def dfs(v, parent):
    ret = 0
    for u in graph[v]:
        if u == parent:
            continue
        ret = max(ret, dfs(u, v) + 1)
    children_depths[v] = ret
    parents[v] = parent
    return ret


dfs(U, None)

v = V
dist = 1
while parents[v] != U:
    v = parents[v]
    dist += 1

# 何回親側に上がるか
p_cnt = 0
v = V
ans = 0
while dist > 0:
    ans = max(ans, dist - 1 + children_depths[v] + p_cnt)
    v = parents[v]
    p_cnt += 1
    dist -= 2
print(ans)


### FIXED CODE ###

import os
import sys

if os.getenv("LOCAL"):
    sys.stdin = open("_in.txt", "r")

sys.setrecursionlimit(10 ** 9)
INF = float("inf")
IINF = 10 ** 18
MOD = 10 ** 9 + 7
# MOD = 998244353

N, V, U = list(map(int, sys.stdin.buffer.readline().split()))
AB = [list(map(int, sys.stdin.buffer.readline().split())) for _ in range(N - 1)]

V -= 1
U -= 1
graph = [[] for _ in range(N)]
for a, b in AB:
    a -= 1
    b -= 1
    graph[a].append(b)
    graph[b].append(a)

# 深い方に逃げるべき
# 子どものうち一番深い場所の深さ
children_depths = [0] * N
parents = [None] * N

stack = [(U, None)]
vs = []
while stack:
    v, parent = stack.pop()
    parents[v] = parent
    vs.append(v)
    for u in graph[v]:
        if u == parent:
            continue
        stack.append((u, v))
vs.reverse()
for v in vs:
    if parents[v] is not None:
        children_depths[parents[v]] = max(children_depths[parents[v]], children_depths[v] + 1)

v = V
dist = 1
while parents[v] != U:
    v = parents[v]
    dist += 1

# 何回親側に上がるか
p_cnt = 0
v = V
ans = 0
while dist > 0:
    ans = max(ans, dist - 1 + children_depths[v] + p_cnt)
    v = parents[v]
    p_cnt += 1
    dist -= 2
print(ans)
### BUGGY CODE ###

import math
n=int(input())
mod=10**9+7
v=math.factorial(n)
ans=[i for i in range(1,v+1) if v%i==0]
print(len(ans)%mod)


### FIXED CODE ###

n=int(input())
import math
fac=math.factorial(n)
mod=10**9+7
ans=[0]*(n+1)
ans[0]=ans[1]=1
i=2
while i*i<=n:
    j=2
    while i*j<=n and ans[i]==0:
        ans[i*j]=1
        j+=1
    i+=1
v=[]
for i in range(n+1):
    if ans[i]==0:
        v.append(i)
total=1
count=0
for i in v:
    while fac%i==0:
        count+=1
        fac//=i
    total*=count+1
    count=0
print(total%mod)
### BUGGY CODE ###

N=int(input())

lasts=[int(input())]
for _ in range(N-1):
    a=int(input())
    
    if a<=lasts[0]:
        lasts.insert(0, a)
    else:
        for i,val in enumerate(lasts[::-1]):
            if val<a:
                lasts[len(lasts)-1-i]=a
                break

print(len(lasts))

### FIXED CODE ###

import bisect
from collections import deque
N=int(input())
a=[int(input()) for _ in range(N)]
d=deque()

for i in range(N):
    p=bisect.bisect_left(d, a[i])
    #print(a[i], p, d)
    if p==0:
        d.appendleft(a[i])
    else:
        d[p-1]=a[i]
print(len(d))
### BUGGY CODE ###

n = int(input())
H_l = list(map(int, input().split()))

flg_nd = True
for i in range(n-1):
    if H_l[i] >=3:
        H_min = min(H_l[i+1:])
        if H_l[i] - H_min >=2:
            flg_nd = False
            break;
    
if flg_nd:
    print('Yes')
else:
    print('No')

### FIXED CODE ###

n = int(input())
H_l = list(map(int, input().split()))
tmp_max = 0
flg_nd = True
for i in range(n):
    if tmp_max - H_l[i] >=2:
        flg_nd = False
        break;
    if H_l[i] > tmp_max:
        tmp_max = H_l[i]

if flg_nd:
    print('Yes')
else:
    print('No')
### BUGGY CODE ###

x = int(input())

def make_divisors(n):
    divisors = []
    for i in range(1, int(n**0.5)+1):
        if n % i == 0:
            divisors.append(i)
            if i != n // i:
                divisors.append(n//i)
    divisors.sort()
    return divisors
div = make_divisors(x)
for d in div:
    for a in range(0,d+1):
        b = a - d
        if a**4 + (a**3)*b + (a**2)*(b**2) + a*(b**3) + b**4 == x/d:
            print(a, b)
            break

### FIXED CODE ###

x = int(input())
for a in range(-118,120):
    for b in range(-119, 119):
        if a**5 - b**5 == x:
            print(a,b)
            exit()