Harryxun/stf_run huggingface dataset:
#!/usr/bin/env python3

import sys
import math
from bisect import bisect_right as br
from bisect import bisect_left as bl
sys.setrecursionlimit(1000000)
from heapq import heappush, heappop,heappushpop
from collections import defaultdict
from itertools import accumulate
from collections import Counter
from collections import deque
from operator import itemgetter
from itertools import permutations
mod = 10**9 + 7
inf = float('inf')
def I(): return int(sys.stdin.readline())
def LI(): return list(map(int,sys.stdin.readline().split()))


n = I()
a = LI()
c = list(Counter(a).items())
x = len(c)
H = []
for i,j in c:
    heappush(H,-j)
for k in range(1,n+1):
    if k == 1:
        print(n)
        continue
    if k > x:
        print(0)
        continue
    h = H.copy()
    ans = 0
    while len(h) >= k:
        ans += 1
        tmp = heappop(h)
        tmp = -tmp
        lst = []
        for _ in range(k-1):
            s = heappop(h)  
            s = -s
            s -= tmp
            if s <= 0:
                continue
            lst.append(-s)
        for i in lst:
            heappush(h,i)
    print(ans)

### FIXED CODE ###

#!/usr/bin/env python3

import sys
import math
from bisect import bisect_right as br
from bisect import bisect_left as bl
sys.setrecursionlimit(2147483647)
from heapq import heappush, heappop,heappushpop
from collections import defaultdict
from itertools import accumulate
from collections import Counter
from collections import deque
from operator import itemgetter
from itertools import permutations
mod = 10**9 + 7
inf = float('inf')
def I(): return int(sys.stdin.readline())
def LI(): return list(map(int,sys.stdin.readline().split()))
"""
.2分探索を考える
.各kに対してx回以上抜き出せるかという問いを考える
.各数の個数を数えて数iの個数をCiとする
.各数iを抜き出せるのはCiまで
 ⇒各数を抜き出す回数min(Ci,x)
.Σmin(Ci,x)はkx以上でなければいけない(k個x回抜き出すため)
.これを満たすときx回抜き出せる
.このままではO(n^2(logn))なので工夫する
.Σ(min(Ci,x))はk依存でないのでここを工夫する(Σ(min(Ci,x))をSxとする)
.SxはSx-1と比べてx以上のCiの数だけ増える(x以上のCiの数をDxとする)
.Sx := Sx-1 + Dx
.Dxを求める時はCのリストについてbisectを行う。
.Sx >= k*xとなるxの最大値を2分探索で求める。(O(nlogn))
"""
n = I()
a = LI()
cnt = list(Counter(a).values())
cnt.sort()
m = len(cnt)
S = [0]*(n+1)
for x in range(1,n+1):
    l = bl(cnt,x)
    S[x] = S[x-1] + (m-l)
for k in range(1,n+1):
    high,low = n+1,0
    while high - low > 1:
        mid = (high + low)//2
        if S[mid] >= k*mid:
            low = mid
        else:
            high = mid
    print(low)
import math
import itertools
from operator import mul
from functools import reduce

def cmb(n,r):
    r = min(n-r,r)
    if r == 0: return 1
    over = reduce(mul, range(n, n - r, -1))
    under = reduce(mul, range(1,r + 1))
    return over // under

n, k = map(int, input().split())
for i in range(k):
    if n-k+1 < i:
        print(0)
    else:
        print(((cmb(n-k+1, i+1) % (10 ** 9 + 7)) * (cmb(k-1, i) % (10 ** 9 + 7))) % (10 ** 9 + 7))


### FIXED CODE ###

import math


def comb(n, r):
    return math.factorial(n) // (math.factorial(n - r) * math.factorial(r))


n, k = map(int, input().split())
mod = 10**9+7
for i in range(1, k+1):
    if n-k+1 >= i:
        print(comb(n-k+1, i)*comb(k-1, i-1) % mod)
    else:
        print(0)
N,M = map(int,input().split())
H = list(map(int, input().split()))
AB = [sorted(list(map(int,input().split())))for i in range(M)]
AB.sort()
good = [True]*N
j = 0
for i in range(N):
    if not good[i]:
        continue
    while j < M:
        a,b = AB[j]
        if a+1 == i:
            if H[i] > H[b-1]:
                good[b-1] = False
            else:
                good[i] = False
            j +=1
        else:
            break
#print(good)
print(good.count(True))

### FIXED CODE ###

print('ARC' if input() == 'ABC' else 'ABC')
N = int(input())
L = list(map(int, input().split()))
c = 0
for i in range(N):
  if L[i] % 2 == 0:
    if L[i] % 3 == 0:
      c += 1
    elif L[i] % 5 == 0:
      c += 1
    else:
      c = 0
      break
  else:
    c += 1

if c == N:
  print("APPROVED")  
else:
  print ("DENIED")

### FIXED CODE ###

A, B, C = map(int, input().split())
if A == B and B == C:
  print("No")
elif A != B and A != C and B != C:
  print("No")
else:
  print("Yes")
H, N = input().split()
H = int(H)
N = int(N)

A = input().split()

if sum(A)>=H:
  print('Yes')
else:
  print('No')

### FIXED CODE ###

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

if sum(A)>=H:
  print('Yes')
else:
  print('No')
a, b, c = int(input())
d = [a,b,c]
if d.count(5) == 2:
    if d.count(7) == 1:
        print('Yes')
else:
    print('No')

### FIXED CODE ###

a = list(map(int,input().split()))
b = a.count(5)
c = a.count(7)
if b == 2 and c == 1:
    print('YES')
else:
    print('NO')
def getN():
    return int(input())

def getMN():
    a = input().split()
    b = [int(i) for i in a]
    return b[0],b[1]

def getlist():
    a = input().split()
    b = [int(i) for i in a]
    return b


from collections import deque

n, m = getMN()

parents = [[] for i in range(n+1)]
childs = [[] for i in range(n+1)]

k = m-1+n
for i in range(k):
    p1,p2 = getMN()
    parents[p2].append(p1)
    childs[p1].append(p2)

dst = [0 for i in range(n+1)]

d = deque()
n_root = 0
for i, x in enumerate(parents[1:]):
    if not x:
        n_root = i+1
        break

def bfs(n_cur):)
    for c in childs[n_cur]:
        d.append(c)
        dst[c] = max(dst[c], dst[n_cur]+1)
    while(d):
        bfs(d.pop())

bfs(n_root)

for plist in parents[1:]:
    if plist:
        cur = -1
        ans = plist[0]
        for p in plist:
            if dst[p] > cur:
                cur = dst[p]
                ans = p
        print(ans)
    else:
        print(0)


### FIXED CODE ###

def getN():
    return int(input())


def getNM():
    return map(int, input().split())


def getList():
    return list(map(int, input().split()))

n,m = getNM()
children = [[] for i in range(n+2)]
n_in = [0] * (n+1)
par_origin = [0] * (n+1)

#入力の処理
for i in range(n+m-1):
    a,b = getNM()
    children[a].append(b)
    n_in[b] += 1

#根を見つける
for i in range(1,n+m-1):
    if n_in[i]:
        pass
    else:
        root = i
        break

#次数を減らしながら探索
import queue
def bfs(root):
    q = queue.Queue()
    q.put(root)
    while(True):
        try:
            cur = q.get(block=False)
        except:
            break
        for c in children[cur]:
            if n_in[c] == 1:
                par_origin[c] = cur
                q.put(c)
            else:
                n_in[c] -= 1

bfs(root)
for i in range(1, n+1):
    print(par_origin[i])
n=int(input())
a=list(map(int,input().split()))

m=max(a)/2
a.append(m)
a.sort()
ind=a.index(m)

if abs(m-a[ind-1])<abs(m-a[ind+1]):
    print(max(a),a[ind-1])
else:
    print(max(a),a[ind+1])


### FIXED CODE ###

li = list(map(int,input().split()))

if li[0]<=li[2] and li[0]+li[1]>=li[2]:
    print('YES')
else:
    print('NO')
import itertools
NK = input().split()
N = NK[0]
K = int(NK[1])
 
d = input().split()
D = [int[s] for s in d]
 
Da = [0, 1, 2, 3, 4, 5, 6, 7, 8, 9]
 
for i in range(len(D)):
    Da.remove(D[i])
Da_str = [str(j) for j in Da]

a_1 = [''.join(j) for j in itertools.product(b_st, repeat=len(N))]
a_2 = [''.join(j) for j in itertools.product(b_st, repeat=len(N)+1)]
a = a_1 + a_2
nu = [int(k) for k in a]

 
for i in nu:
    if i >= N:
        print(i)
        break

### FIXED CODE ###

import itertools
NK = input().split()
N = NK[0]
K = int(NK[1])
 
d = input().split()
D = [int(s) for s in d]
 
Da = [0, 1, 2, 3, 4, 5, 6, 7, 8, 9]
 
for i in D:
    Da.remove(i)
Da_str = [str(j) for j in Da]
 
a_1 = [''.join(j) for j in itertools.product(Da_str, repeat=len(N))]
a_2 = [''.join(j) for j in itertools.product(Da_str, repeat=len(N)+1)]
a = a_1 + a_2
nu = [int(k) for k in a]
 
for i in nu:
    if i >= int(N):
        print(i)
        break
n = int(input())
A = [int(input()) for _ in range(n)]
cnt = 0
G = [797161,265720,88573,29524,9841,3280,1093,364,121,40,13,4,1]
G = [v for v in G if v <= n]
m = len(G)
for g in G:
    for i in range(n):
        v = A[i]
        j = i - g
        while j >= 0 and A[j] > v:
            A[j+g] = A[j]
            j = j - g
            cnt += 1
        A[j+g] = v
print(m)
print(*G)
print(cnt)
print(*A, sep='\n')


### FIXED CODE ###

import sys
def insertionSort(A, n, g):
    global cnt
    for i in range(g, n):
        v = A[i]
        j = i - g
        while j >= 0 and A[j] > v:
            A[j + g] = A[j]
            j = j - g
            cnt += 1
        A[j + g] = v
def solve():
    n = int(input())
    A = list(map(int, sys.stdin))
    G = [int((2.25**i - 1) / 1.25)for i in range(17, 0, -1)]
    G = [v for v in G if v <= n]
    for g in G:
        insertionSort(A, n, g)
    print(len(G))
    print(*G)
    print(cnt)
    print('\n'.join(map(str, A)))
if __name__ == '__main__':
    cnt = 0
    solve()
s = input()
n = len(s-1)
total=0
for i in range(2**n):
  pl=['']*n
  ans=''
  for j in range(n):
    if ((i>>j)&1):
      pl[n-1-j] = '+'
  for k in range(n):
    ans += s[k]+pl[k]
  ans+=s[-1]
  total += eval(ans)

print(total)

### FIXED CODE ###

S = input()

res_list = []

for i in range(2**(len(S)-1)):
    temp_s = ''
    for j in range(len(S)):
        temp_s += S[j]
        if ((i >> j) & 1):
            temp_s += '+'
    # print(temp_s)
    res_list.append(temp_s)

temp_S_list = [eval(item) for item in res_list]

print(sum(temp_S_list))
N = int(input())
If N == 1:
  print('Hello World')
else:
  A = int(input())
  B = int(input())
  print(A+B)

### FIXED CODE ###

N = int(input())
if N == 1:
  print('Hello World')
else:
  A = int(input())
  B = int(input())
  print(A+B)
s = input()
ans = min(abs(s[i:i+3] - 753) for i in range(len(s) -2))
print(ans)

### FIXED CODE ###

n=input()
a=[]
for i in range(len(n)-2):
    a.append(abs(int(n[i:i+3])-753))
print(min(a))
R = int(input())
G = int(input())
print(2G-R)

### FIXED CODE ###

R = int(input())
G = int(input())
print(2*G-R)
import sys

inp = sys.stdin()
counter = {}

for text in inp:
    for a in text:
        a = a.lower()
        counter[a] = counter.get(a,0) + 1

for x in range(26):
    a = chr(ord('a')+x)
    print("{0} : {1}".format(a,counter.get(a,0)),sep='')


### FIXED CODE ###

import sys

inp = sys.stdin
counter = {}

for text in inp:
    for a in text:
        a = a.lower()
        counter[a] = counter.get(a,0) + 1

for x in range(26):
    a = chr(ord('a')+x)
    print("{0} : {1}".format(a,counter.get(a,0)),sep='')
L=[]
for i in range(3):
  L.append(list(map(int,input().split())))
if all(S[i][0]-S[i+1][0]==S[i][1]-S[i+1][1]==S[i][2]-S[i+1][2] for i in range(2)) and all(S[0][i]-S[0][i+1]==S[1][i]-S[1][i+1]==S[2][i]-S[2][i+1] for i in range(2)):
  print("Yes")
else:
  print("No")

### FIXED CODE ###

L=[]
for i in range(3):
  L.append(list(map(int,input().split())))
if all(L[i][0]-L[i+1][0]==L[i][1]-L[i+1][1]==L[i][2]-L[i+1][2] for i in range(2)) and all(L[0][i]-L[0][i+1]==L[1][i]-L[1][i+1]==L[2][i]-L[2][i+1] for i in range(2)):
  print("Yes")
else:
  print("No")
import numpy as np

a,b=map(int,input().split())
c=[]
for i in range(b):
    c.append(int(input()))
c.append(a+1)    
def Fib(n):
    fib=1/np.sqrt(5)*(((1+np.sqrt(5))/2)**(n-1)-((1-np.sqrt(5))/2)**(n-1))
    return(int(fib))

d=[]
z=-1
for j in c:
    di=j-z
    if j-z==1:
        print(0)
        exit()
    else:
        d.append(Fib(di))
        z=j
ans=1
for k in d:
    ans=ans*k
print(ans%1000000007)



### FIXED CODE ###

import sys

n,m=map(int,input().split())
c=set(map(int,sys.stdin))

d=[0]*(n+1)
d[0]=1
d[1]=1 if 1 not in c else 0
for j in range(2,n+1):
    if j in c:
        pass
    else:
        d[j]=(d[j-1]+d[j-2])%1000000007

print(d[n])
n=input()
print"",
for i in range(1,n+1):
  if i%3==0 or str(i).count('3'):
  print i,

### FIXED CODE ###

n=input()
print"",
for i in range(1,n+1):
  if i%3==0 or str(i).count('3'):print i,
n,m=map(int,input().split())
a=[1]*(n+1)
for i in range(m):
    a[int(input())]=0
memo={}

def count(p):
    if p in memo:
        return memo[p]
    if p==0:
        return 1
    if p==1:
        return a[p]
    if a[p]==1:
        x=count(p-1)+count(p-2)
        memo[p]=x
        return x
    else:
        memo[p]=0
        return 0
print(count(n)%1000000007)


### FIXED CODE ###


n,m=map(int,input().split())
a=[1]*(n+1)
for i in range(m):
    a[int(input())]=0
p0=a[0]
p1=a[1]
for i in range(2,n+1):
    if a[i]==1:
        p2=p0+p1
    else:
        p2=0
    p0,p1=p1,p2
print(p1%1000000007)
n = int(input())
h = list(map(int, input().split()))

a = 0
move = []

for i in range(n-1):
  if h[i] >= h[i+1]:
    a += 1
  else:
    move.append(a)
    a = 0

print(max(move))

### FIXED CODE ###

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

a = 0
move = []

for i in range(n-1):
  if h[i] >= h[i+1]:
    a += 1
  else:
    move.append(a)
    a = 0
move.append(a)

print(max(move))
n,m = map(int,input().split())
p = [0]*m
s = [0]*m
c = [0]*m
j = 1
for i in range(m):
    p[i],s[i] = map(str,input().split())
    if i == 0:
        c[i] = str(p[i])
    elif c[j - 1] != p[i]:
        c[j] = str(p[i])
        j += 1
ac = 0
wa = 0
j = 0
for i in range(m):

    if p[i] == c[j] and s[i] == "AC":
        ac += 1
        j += 1
        if c[j] == 0:
            break
    else :
        wa += 1
        
print("{} {}".format(ac,wa))

### FIXED CODE ###

import numpy as np

N,M = map(int,input().split())

AC = np.array([0]*N)
WA = np.array([0]*N)

for i in range(M):
    p,S = input().split()

    if AC[int(p)-1] ==0 and S == "WA":
       WA[int(p)-1] += 1
    else:
        AC[int(p)-1] = 1

print(sum(AC),sum(AC*WA))
n = input() 
temp = 0
for i in range(n):
  d,w = map(int,input().split())
  if d==w:
    temp += 1 
    if temp == 3 :
      print("Yes")
      exit()
  else:
    temp = 0 
    
print("No")
    
    

### FIXED CODE ###

n = int(input()) 
temp = 0
for i in range(n):
  d,w = map(int,input().split())
  if d==w:
    temp += 1 
    if temp == 3 :
      print("Yes")
      exit()
  else:
    temp = 0 
    
print("No")
n, x, m = map(int,input().split())
ans = x
num = 0
l = [0]*min(n,10**6)
lis = [-1]*m
l[0] = x
lis[x] = num
for i in range(1,n):
    x = (x*x)%m
    num += 1
    if lis[x]!=-1:
        a = (n-i)//(i-lis[x])
        b = (n-i)%(i-lis[x])
        ans += a * sum(l[lis[x]:i])
        break
    l[i] = x
    lis[x] = i
    ans += x
for i in range(lis[x],lis[x]+b):
    ans += l[i]
print(ans)

### FIXED CODE ###

n, x, m = map(int,input().split())
ans = x
num = 0
l = [0]*m
lis = [-1]*m
l[0] = x
lis[x] = num
for i in range(1,n):
    x = (x*x)%m
    num += 1
    if lis[x]!=-1:
        a = (n-i)//(i-lis[x])
        b = (n-i)%(i-lis[x])
        ans += a * sum(l[lis[x]:i])
        for j in range(lis[x],lis[x]+b):
            ans += l[j]
        break
    l[i] = x
    lis[x] = i
    ans += x
print(ans)
N,M=int(input().split())
if N==M:
  print("Yes")
else:
  print("No")

### FIXED CODE ###

N,M=map(int,input().split())
if N==M:
  print("Yes")
else:
  print("No")
MOD = 998244353

N, S = map(int, input().split())
A = list(map(int, input().split()))

DP = [[[0] * 3 for _ in range(S + 1)] for _ in range(N + 1)]
DP[0][0][0] = 1

for i in range(N):
    DP[i + 1][0][0] = DP[i][0][0] 
    DP[i + 1][0][1] = DP[i][0][0] + DP[i][0][1]
    a = A[i]
    for j in range(1, a):
        DP[i + 1][j][1] = (DP[i][j][0] + DP[i][j][1]) % MOD #以前から合計jになっている場合のみOK
    for j in range(a, S + 1):
        DP[i + 1][j][1] = (DP[i][j][0] + DP[i][j][1] + DP[i][j - a][0] + DP[i][j - a][1]) % MOD

    DP[i + 1][S][2] = (DP[i][S][1] + DP[i][S][2]) % MOD
    if a <= S:
        DP[i + 1][S][2] += DP[i][S - a][0] + DP[i][S - a][1]
    DP[i + 1][S][2] %= MOD

print (DP[N][S][2])

# for i in range(N + 1):
#     print (DP[i])

### FIXED CODE ###

def main():
    MOD = 998244353

    N, S = map(int, input().split())
    A = tuple(map(int, input().split()))

    DP0 = [[0] * (S + 1) for _ in range(N + 1)]
    DP1 = [[0] * (S + 1) for _ in range(N + 1)]
    DP2 = [[0] * (S + 1) for _ in range(N + 1)]

    DP0[0][0] = 1

    for i in range(N):
        DP0[i + 1][0] = DP0[i][0] 
        DP1[i + 1][0] = DP0[i][0] + DP1[i][0]
        a = A[i]
        if a > S:
            for j in range(1, S + 1):
                DP1[i + 1][j] = DP1[i][j] #以前から合計jになっている場合のみOK
        else:
            for j in range(1, a):
                DP1[i + 1][j] = DP1[i][j] #以前から合計jになっている場合のみOK
            for j in range(a, S + 1):
                DP1[i + 1][j] = (DP1[i][j] + DP0[i][j - a] + DP1[i][j - a]) % MOD
                # DP[i + 1][j][1] = (DP[i][j][0] + DP[i][j][1] + DP[i + 1][j - a][1]) % MOD

        DP2[i + 1][S] = (DP1[i][S] + DP2[i][S])
        if a <= S:
            DP2[i + 1][S] += DP0[i][S - a] + DP1[i][S - a]
        DP2[i + 1][S] %= MOD

    print (DP2[N][S])

    # for i in range(N + 1):
    #     print (DP[i])

if __name__ == '__main__':
    main()
import sys
input = sys.stdin.readline
'''
allinputs = iter(input().splitlines())
input = lambda : next(allinputs)
#'''
N, M = map(int, input().split())
x, y = [0] * M, [0] * M
from_x = [[] for _ in range(N)]
memo = [-1] * N
ans = 0

def length(i):
	if memo[i] >= 0:
		return memo[i]
	else:
		if len(from_x[i]) == 0:
			memo[i] = 0
			return memo[i]
		else:
			ret = 0
			
			for j in from_x[i]:
				tmp = length(j) + 1
				if tmp > ret:
					ret = tmp
					
			memo[i] = ret
			return ret

for i in range(M):
	x[i], y[i] = map(int, input().split())
	from_x[y[i] - 1].append(x[i] - 1)

for i in range(N):
	tmp = length(i)
	if tmp > ans:
		ans = tmp

print(ans)


### FIXED CODE ###

import sys
sys.setrecursionlimit(10 ** 5 + 5)
input = sys.stdin.readline
'''
allinputs = iter(input().splitlines())
input = lambda : next(allinputs)
#'''
N, M = map(int, input().split())
x, y = [0] * M, [0] * M
from_x = [[] for _ in range(N)]
memo = [-1] * N
ans = 0

def length(i):
	if memo[i] >= 0:
		return memo[i]
	else:
		if len(from_x[i]) == 0:
			memo[i] = 0
			return memo[i]
		else:
			ret = 0
			
			for j in from_x[i]:
				tmp = length(j) + 1
				if tmp > ret:
					ret = tmp
					
			memo[i] = ret
			return ret

for i in range(M):
	x[i], y[i] = map(int, input().split())
	from_x[y[i] - 1].append(x[i] - 1)

for i in range(N):
	tmp = length(i)
	if tmp > ans:
		ans = tmp

print(ans)
from copy import copy
from functool import reduce

class Sunkune:
	def __init__(self):
  		self.has_snack = False

n_sunuke, n_v_snacks = [int(s) for s in input().split(2)]

all_sunuke = [copy(Sunuke()) for i in range(n_sunuke)]

for snack_id in n_v_snacks:
  	n_snacks = int(input())
    for sunuke_id in (int(s) for s in input().split()):
    	all_sunuke[s - 1].has_snack = True

print(reduce(lambda n,s: n + (0 if s.has_snack else 1), all_sunuke, 0)

### FIXED CODE ###

from copy import copy
from functools import reduce
    
class Sunuke:
    def __init__(self):
        self.has_snack = False
    
n_sunuke, n_v_snacks = [int(s) for s in input().split()]
    
all_sunuke = [copy(Sunuke()) for i in range(n_sunuke)]
    
for snack_id in range(n_v_snacks):
    n_snacks = int(input())
    for sunuke_id in (int(s) for s in input().split()):
        all_sunuke[sunuke_id - 1].has_snack = True
    
print(reduce(lambda n,s: n + (0 if s.has_snack else 1), all_sunuke, 0))
n = int(raw_input())
A = map(int, raw_input().split())
A.sort()

q = int(raw_input())
M = map(int, raw_input().split())
M.sort()

result = []
for i in range(q):
    result.append('no')

for i in range(n-1):
    sum_n = A[i]
    M_clone = M[:]
    flag = False
    for j in range(n-1-i):
        if flag:
            break
        sum_n = sum_n + A[i+1+j]
        for k in range(len(M)):
            if M_clone[k] == sum_n:
                result[k] = 'yes'
                M.pop(k)
                flag = True
                break
            elif M_clone[k] < sum_n:
                M_clone.pop(k)

for i in range(q):
    print result[i]

### FIXED CODE ###


n = int(raw_input())
A = map(int, raw_input().split())

q = int(raw_input())
M = map(int, raw_input().split())

result = []
for i in range(q):
    result.append('no')

def adder(axis = 0, nums = [0], M = [0], q = 0):
    for i in range(q):
        if M[i] == axis:
            result[i] = 'yes'
    length = len(nums)
    if length != 0:
        for i in range(length):
            sum_n = axis + nums[i]
            adder(sum_n, nums[i+1:], M, q)

for i in range(n):
    adder(A[i], A[i+1:], M, q)

for i in result:
    print(i)
import math
a,h,x = [int(j) for j in input().split()]
y = (h*a - x/a)*(2/a**2)
print(90-math.degrees(math.atan(1/y)))

### FIXED CODE ###

import math
a,h,x = [int(j) for j in input().split()]
# y = (h*a - x/a)*(2/a**2)
# y = a**2/(2*h*a-2*x)
y = 2*h/a - 2*x/a**3
z = (h**2)*a/(2*x)
# try:
# print(y)
b = x/(a**2)
if b>h/2:
    print(math.degrees(math.atan(y)))
else:
    print(math.degrees(math.atan(z)))
a=list(map(int,input().split()))
n=0
zahyo=0
i=0
hane=list(map(int,input().split()))
while zahyo<=a[1]:
    if i<=a[0]:
        n=n+1
        zahyo=zahyo+hane[i]
        i=i+1
    else:
        break
print(n)

### FIXED CODE ###

a=list(map(int,input().split()))
n=1
zahyo=0
hane=list(map(int,input().split()))
for i in range(a[0]):
    if zahyo+hane[i]>a[1]:
        break
    else:
        zahyo=zahyo+hane[i]
        n=n+1
print(n)
s=int(input())
print("Heisei" if s<"2019/04/30" else "TBD")

### FIXED CODE ###

s=input()
print("Heisei" if s<="2019/04/30" else "TBD")
import math

n, m = map(int, input().split())

mod = 10**9 + 7
fac = [1, 1]
inv = [1, 1]
finv = [1, 1]
for i in range(2, n+5):
    fac.append(fac[i-1] * i % mod)
    inv.append(mod - inv[mod%i] * (mod//i) % mod)
    finv.append(finv[i-1] * inv[i] % mod)

def nck(n, k):
    if n < k:
        return 0
    if n < 0 or k < 0:
        return 0
    return fac[n] * (finv[k] * finv[n-k] % mod) % mod

sqrt_m = math.sqrt(m)
sqrt_m = int(sqrt_m) + 1
prime = []
for i in range(2, sqrt_m + 1):
    count = 0
    while m % i == 0:
        m = m // i
        count += 1
    if count > 0:
        prime.append(count)
if m > 1:
    prime.append(1)

ans = 1
for i in prime:
    ans *= nck(n-1+i, i)
    ans %= mod

print(ans)


### FIXED CODE ###

import math
n, m = map(int, input().split())

mod = 10**9 + 7

b = []

c = int(math.sqrt(m))
for i in range(2, c+2):
    count = 0
    while m % i == 0:
        count += 1
        m = m // i
    b.append(count)
if m > 1:
    b.append(1)

fac = [1, 1]
inv = [1, 1]
finv = [1, 1]
for i in range(2, n + max(b)+3):
    fac.append(fac[i-1] * i % mod)
    inv.append(mod - inv[mod%i] * (mod//i) % mod)
    finv.append(finv[i-1] * inv[i] % mod)

def nck(n, k):
    if n < k:
        return 0
    if n < 0 or k < 0:
        return 0
    return fac[n] * (finv[k] * finv[n-k] % mod) % mod

ans = 1
for i in b:
    ans *= nck(n-1+i, i)
    ans %= mod

print(ans)
"""from collections import *
from itertools import *
from bisect import *
from heapq import *

import math
from fractions import gcd"""

N=int(input())
T=list(map(int,input().split()))
A=list(map(int,input().split()))
mod=10**9+7
lst=[0 for i in range(N)]


lst[0]=T[0]
lst[N-1]=A[N-1]
if T[N-1]!=A[0]:
    print(0)
    exit()
for i in range(1,N):
    if T[i]>T[i-1]:
        if lst[i] and lst[i]!=T[i]:
            print(0)
            exit()
        lst[i]=T[i]

for i in range(N-2,-1,-1):
    if A[i]>A[i+1]:
        if lst[i] and lst[i]!=A[i]:
            print(0)
            exit()
        elif not lst[i] and T[i]<A[i]
        lst[i]=A[i]

count=1
for i in range(N):
    if not lst[i]:
        count=count*min(T[i],A[i])%mod
print(count)


### FIXED CODE ###

"""from collections import *
from itertools import *
from bisect import *
from heapq import *

import math
from fractions import gcd"""

N=int(input())
T=list(map(int,input().split()))
A=list(map(int,input().split()))
mod=10**9+7
lst=[0 for i in range(N)]


lst[0]=T[0]
lst[N-1]=A[N-1]
if T[N-1]!=A[0]:
    print(0)
    exit()
for i in range(1,N):
    if T[i]>T[i-1]:
        if lst[i] and lst[i]!=T[i]:
            print(0)
            exit()
        lst[i]=T[i]

for i in range(N-2,-1,-1):
    if A[i]>A[i+1]:
        if lst[i] and lst[i]!=A[i]:
            print(0)
            exit()
        elif not lst[i] and T[i]<A[i]:
            print(0)
            exit()
        lst[i]=A[i]

count=1
for i in range(N):
    if not lst[i]:
        count=count*min(T[i],A[i])%mod
print(count)