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

class Combination():
    # コンストラクタ
    def __init__(self, N:int, P:int):
        self.N = N
        self.P = P

        # fact[i] = (i! mod P)
        self.fact = [1, 1]   
        # factinv[i] = ((i!)^(-1) mod P)
        self.factinv = [1, 1]
        # factinv 計算用
        self.inv = [0, 1]    

        for i in range(2, N+1):
            self.fact.append((self.fact[-1] * i) % P)
            self.inv.append((-self.inv[P % i] * (P // i)) % P)
            self.factinv.append((self.factinv[-1] * self.inv[-1]) % P)
    
    # nCk (mod P)   (ただし、n<=N)
    def getComb(self, n:int, k:int):
        if (k < 0) or (n < k):
            return 0
        k = min(k, n - k)
        return self.fact[n] * self.factinv[k] * self.factinv[n-k] % self.P

r1,c1,r2,c2 = map(int,input().split())
MOD = 10**9 + 7
ans = 0

C = Combination(r2+c2+2, MOD)

ans += C.getComb(r2+c2+2, r2+1)
ans -= C.getComb(r2+c1+1, r2+1)
ans -= C.getComb(r1+c2+1, r1)
ans += C.getComb(r1+c1, r1)

print(ans % MOD)

### FIXED CODE ###

def getComb(n, k, MOD):
    if n < k:
        return 0
    if n-k < k:
        k = n-k
    # n!/(n-k)!
    comb = 1
    for x in range(n-k+1, n+1):
        comb = (comb * x) % MOD
    # k!
    d = 1
    for x in range(1, k+1):
        d = (d * x) % MOD
    # n!/((n-k)!*k!)
    comb *= pow(d, MOD-2, MOD)
    return comb % MOD

r1,c1,r2,c2 = map(int,input().split())
MOD = 10**9 + 7
ans = 0

ans += getComb(r2+c2+2, r2+1, MOD)
ans -= getComb(r2+c1+1, r2+1, MOD)
ans -= getComb(r1+c2+1, r1, MOD)
ans += getComb(r1+c1, r1, MOD)

print(ans % MOD)
### BUGGY CODE ###

s = input()

s = s[::-1]
s += "0"
l = len(s)

dp = [[float("inf")] * 2 for _ in range(l + 1)]
dp[0][0] = 0

for i, e in enumerate(s):
    for j in range(2):
        x = int(e)
        x += j
        if x < 10:
            dp[i+1][0] = min(dp[i+1][0], dp[i][j] + x)
        dp[i+1][1] = min(dp[i+1][1], dp[i][j] + 10 - x)

ans = dp[l][0]
print(ans)


### FIXED CODE ###

s = input()

s = s[::-1]
s += "0"
l = len(s)

dp = [[float("inf")] * 2 for _ in range(l + 1)]
dp[0][0] = 0

for i, e in enumerate(s):
    for j in range(2):
        x = int(e)
        x += j
        for a in range(10):
            ni = i + 1
            nj = 0
            b = a - x
            if b < 0:
                nj = 1
                b += 10

            dp[ni][nj] = min(dp[ni][nj], dp[i][j] + a + b)

ans = dp[l][0]
print(ans)
### BUGGY CODE ###

#!/usr/bin python3
# -*- coding: utf-8 -*-

def f(n):
    ret = 0
    while n>0:
        pc = format(n, 'b').count('1')
        n = n%pc
        ret += 1
    return ret

def main():
    N = int(input())
    X = list(input())
    for i in range(N):
        xi = X[:]
        if X[i]=='1':
            xi[i]='0'
        elif X[i]=='0':
            xi[i]='1'
        print(f(int(''.join(xi),2)))

if __name__ == '__main__':
    main()

### FIXED CODE ###

#!/usr/bin python3
# -*- coding: utf-8 -*-

def pc(x):
    return format(x, 'b').count('1')

N = int(input())
X = input()
Xn = int(X,2)
p = pc(Xn)
X = list(X)

Xp = Xn%(p+1)
if p==1:
    Xm = 0
else:
    Xm = Xn%(p-1)

def f(i):
    if p==1 and X[i]=='1':
        #Xi == 0 > POPcount ==0
        return 0
    else:
        if X[i]=='1':
            # p->p-1
            ret = Xm - pow(2, N-1-i, p-1)
            ret %= p-1
        else:
            # p->p+1
            ret = Xp + pow(2, N-1-i, p+1)
            ret %= p+1
        cnt = 1
        while ret > 0:
            ret %= pc(ret)
            cnt += 1
        return cnt

def main():
    for i in range(N):
        ret = f(i)
        print(ret)

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

s = input()
t = input()

def Z(S):
    A = [0]*len(S)
    i = 1; j = 0
    A[0] = len(S)
    while i < len(S):
        while i+j < len(S) and S[j] == S[i+j]:
            j += 1
        A[i] = j
        if not j:
            i += 1
            continue
        k = 1
        while len(S)-i > k < j - A[k]:
            A[i+k] = A[k]
            k += 1
        i += k; j -= k
    return A

word = [t,'?'] + [s]*(len(t)//len(s)+2)

z = Z(''.join(word))
z = z[len(t)+1:]

g = [-1]*len(s)
c = [0]*len(s)

for i in range(len(s)):
    if z[i] == len(t):
        g[i] = (i+len(t))%len(s)

for i in range(len(s)):
    if c[i] > 0 or g[i] < 0:
        continue
    q = g[i]
    tmp = 0
    while q >= 0:
        tmp += 1

        if c[q] > 0:
            c[i] = tmp + c[q]
            break
        
        if tmp != 0 and q == i:
            print(-1)
            exit()
        
        q = g[q]

    c[i] = max(c[i],tmp)

print(max(c))

### FIXED CODE ###

s = input()
t = input()

def Z(S):
    A = [0]*len(S)
    i = 1; j = 0
    A[0] = len(S)
    while i < len(S):
        while i+j < len(S) and S[j] == S[i+j]:
            j += 1
        A[i] = j
        if not j:
            i += 1
            continue
        k = 1
        while len(S)-i > k < j - A[k]:
            A[i+k] = A[k]
            k += 1
        i += k; j -= k
    return A

z = Z(t+'?'+s*(len(t)//len(s)+2))
z = z[len(t)+1:]

class UnionFind():
    def __init__(self, n):
        self.n = n
        self.root = [-1]*n
        self.rank = [0]*n

    def find(self, x):
        if(self.root[x] < 0):
            return x
        else:
            self.root[x] = self.find(self.root[x])
            return self.root[x]

    def unite(self, x, y):
        x = self.find(x)
        y = self.find(y)
        if(x == y):
            return 

        elif(self.rank[x] > self.rank[y]):
            self.root[x] += self.root[y]
            self.root[y] = x

        else:
            self.root[y] += self.root[x]
            self.root[x] = y

            if(self.rank[x] == self.rank[y]):
                self.rank[y] += 1

    def same(self, x, y):
        return self.find(x) == self.find(y)

    def card(self, x):
        return -self.root[self.find(x)]

u = UnionFind(len(s))

for i in range(len(s)):
    if z[i] == len(t):
        if u.same(i,(i+len(t))%len(s)):
            print(-1)
            exit()
        u.unite(i,(i+len(t))%len(s))


print(-1+max(map(lambda x:-x,u.root)))
### BUGGY CODE ###

from itertools import permutations
N,M,R=map(int,input().split())
r=list(map(int,input().split()))
INF=float("inf")
G=[[INF]*N for i in range(N)]
for i in range(M):
    A,B,C=map(int,input().split())
    A,B=A-1,B-1
    G[A][B]=C
    G[B][A]=C
def distance(a,b):
    stack=[(G[a][i],i) for i in range(N) if G[a][i]!=INF]
    reached=[0]*N
    reached[0]=1
    stack.sort(reverse=True)
    dis=[INF]*N
    dis[0]=0
    while(stack):
        c,i=stack.pop()
        if reached[i]==1:
            continue
        if dis[i]<=c:
            continue
        dis[i]=c
        if i==b:
            return c
        stack.extend([(G[i][j]+dis[i],j) for j in range(N) if G[i][j]!=INF])
        stack.sort(reverse=True)
D=[[0]*N for i in range(N)]
for i in r:
    for j in r:
        if i>=j:
            continue
        D[i-1][j-1]=distance(i-1,j-1)
        D[j-1][i-1]=D[i-1][j-1]
ans=10**9
for r_ in permutations(r):
    res=0
    for i in range(R-1):
        res+=D[r_[i]-1][r_[i+1]-1]
    ans=min(ans,res)
print(ans)


### FIXED CODE ###

from itertools import permutations
from heapq import *

N,M,R=map(int,input().split())
r=list(map(int,input().split()))
INF=float("inf")
G=[[INF]*N for i in range(N)]
for i in range(M):
    A,B,C=map(int,input().split())
    A,B=A-1,B-1
    G[A][B]=C
    G[B][A]=C
def distance(a,b):
    stack=[(G[a][i],i) for i in range(N) if G[a][i]!=INF]
    heapify(stack)
    reached=[0]*N
    reached[0]=1
    dis=[INF]*N
    dis[0]=0
    while(stack):
        c,i=heappop(stack)
        if reached[i]==1:
            continue
        if dis[i]<=c:
            continue
        dis[i]=c
        if i==b:
            return c
        reached[i]=1
        for j in range(N):
            if G[i][j]!=INF and reached[j]==0:
                heappush(stack,(G[i][j]+dis[i],j))
D=[[0]*N for i in range(N)]
for i in r:
    for j in r:
        if i>=j:
            continue
        D[i-1][j-1]=distance(i-1,j-1)
        D[j-1][i-1]=D[i-1][j-1]
ans=10**9
for r_ in permutations(r):
    res=0
    for i in range(R-1):
        res+=D[r_[i]-1][r_[i+1]-1]
    ans=min(ans,res)
print(ans)
### BUGGY CODE ###

N = int(input())
A = list(map(int,input().split()))
maxim = max(A)
select_num = [0 for i in range(0,maxim+1)]
select_num2 = [0 for i in range(0,maxim+1)]
count_num = [0 for i in range(0,maxim+1)]
for i in range(1,maxim+1):
  count_num[i] = A.count(i)
  if(count_num[i] > 1):
    select_num[i] = (count_num[i])*(count_num[i] - 1)//2
    select_num2[i] = count_num[i] - 1
sumS = sum(select_num)
for i in range(N):
  print(sumS -select_num2[A[i]])

### FIXED CODE ###

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

select_num = 0
count_num = [0]*(N+1)
for i in A:
  count_num[i] += 1
for i in range(1,N+1):
  select_num += (count_num[i])*(count_num[i] - 1)//2
for i in A:
  print(select_num -count_num[i] + 1)
### BUGGY CODE ###

from collections import deque

def bfs(S,W,H):
    dx=(-1,0,1,0)
    dy=(0,1,0,-1)
    queue=deque([[0,0]])
    visited=[]
    goal=False
    cnt=deque([0])
    while queue and goal==False:
        exe=queue.popleft()
        C=cnt.popleft()
        visited.append(exe)
        for i in range(len(dx)):
            x=exe[0]+dx[i]
            y=exe[1]+dy[i]
            if [x,y]==[W-1,H-1]:
                goal=True
            elif 0<=x<=W-1 and 0<=y<=H-1 and S[y][x]==".":
                if [x,y] not in visited:
                    queue.append([x,y])
                    cnt.append(C+1)
    return goal,C+1

def main():
    H,W=map(int,input().strip().split())
    S=[list(input()) for _ in range(H)]
    # number of dot
    num_sharp=0
    for i in range(H):
        for j in range(W):
            if S[i][j]=="#":
                num_sharp+=1
    goal,num=bfs(S,W,H)
    if goal:
        return W*H-num_sharp-(num+1)
    else:
        return -1

if __name__=="__main__":
    print(main())


### FIXED CODE ###

from collections import deque

def bfs(S,W,H):
    dx=(-1,0,1,0)
    dy=(0,1,0,-1)
    queue=deque([[0,0]])
    visited=[]
    goal=False
    cnt=deque([0])
    while queue and goal==False:
        exe=queue.popleft()
        C=cnt.popleft()
        for i in range(len(dx)):
            x=exe[0]+dx[i]
            y=exe[1]+dy[i]
            if [x,y]==[W-1,H-1]:
                goal=True
            elif 0<=x<=W-1 and 0<=y<=H-1 and S[y][x]==".":
                if [x,y] not in visited:
                    queue.append([x,y])
                    visited.append([x,y])
                    cnt.append(C+1) 
    return goal,C+1

def main():
    H,W=map(int,input().strip().split())
    S=[list(input()) for _ in range(H)]
    # number of dot
    num_sharp=0
    for i in range(H):
        for j in range(W):
            if S[i][j]=="#":
                num_sharp+=1
    goal,num=bfs(S,W,H)
    if goal:
        return W*H-num_sharp-(num+1)
    else:
        return -1

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

N = int(input())
A = list(map(int,input().split()))
mod = 10**9+7
import fractions
A_lcm = A[0]
for i in range(1,N):
    A_lcm = A_lcm*A[i]//fractions.gcd(A_lcm,A[i])
ans = 0
for i in A:
    ans += (A_lcm//i)%mod
print(ans%mod)

### FIXED CODE ###

N = int(input())
A = list(map(int,input().split()))
import fractions
mod = 10**9+7
lcm = A[0]
for i in range(1,N):
    lcm = lcm*A[i]//fractions.gcd(lcm,A[i])
ans = 0
for i in range(N):
    ans += lcm*pow(A[i],mod-2,mod)
print(ans%mod)
### BUGGY CODE ###

N = int(input())
P = [int(i) for i in input().split()]
cnt = 0
for i in range(N):
    if min(P[:i+1]) >= P[i]:
        cnt += 1
print(cnt)

### FIXED CODE ###

N = int(input())
P = [int(i) for i in input().split()]
P_min = P.copy()
for i in range(1,N):
    P_min[i] = min(P_min[i-1],P[i])
cnt = 0
for i in range(N):
    if P_min[i] >= P[i]:
        cnt += 1
print(cnt)
### BUGGY CODE ###

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

min_ans = pow(10,15)
for b in range(-max(A), max(A)):
    ans = 0
    for i in range(len(A)):
        #print(A[i], b, i, abs(A[i] - (b + i + 1)))
        ans += abs(A[i] - (b + i + 1))
    #print("ans", b, ans)
    if min_ans >= ans: min_ans = ans
    else: break


"""min_ans_b = pow(10,15)
for b in range(0, max(A)):
    ans = 0
    for i in range(len(A)):
        ans += abs(A[i] - (b + i + 1))
    #print("ans", b, ans)
    if min_ans_b >= ans: min_ans_b = ans
    else: break


if min_ans_b < min_ans:
    min_ans = min_ans_b
"""
print(min_ans)

### FIXED CODE ###

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

for i in range(N):
    A[i] -= i + 1

A = sorted(A)
b = A[N//2]
sad = 0
for i in A:
    sad += abs(i - b)

print(sad)
### BUGGY CODE ###

def s(): return input()
def i(): return int(input())
def S(): return input().split()
def I(): return map(int,input().split())
def X(): return list(input())
def L(): return list(input().split())
def l(): return list(map(int,input().split()))
count = 0
ans = "No"

N,K = I()
A = l()

before = 1
for i in range(K):
    before *= A[i]

for i in range(N-K):
    after = before / A[i] * A[K+i]
    if after > before:
        print("Yes")
    else:
        print("No")
    before = after





### FIXED CODE ###

def s(): return input()
def i(): return int(input())
def S(): return input().split()
def I(): return map(int,input().split())
def X(): return list(input())
def L(): return list(input().split())
def l(): return list(map(int,input().split()))
count = 0
ans = "No"

N,K = I()
A = l()


for i in range(N-K):
    if  A[K+i]/A[i] > 1:
        print("Yes")
    else:
        print("No")
### BUGGY CODE ###

import collections, sys
input = sys.stdin.readline

n, m = map(int, input().split())
graph = [[] for i in range(n + 1)]
for i in range(m):
    l, r, d = map(int, input().split())
    graph[l].append([r, d])
    graph[r].append([l, -d])
flags = [False for i in range(n + 1)]
place = [0 for i in range(n + 1)]

num = 0
flag = True
while num <= n:
    if flag == False:
        break
    if flags[num] == True:
        num += 1
        continue
    if graph[num] == []:
        flags[num] = True
        num += 1
        continue
    queue = collections.deque([num])
    while queue:
        if flag == False:
            break
        test = queue.popleft()
        flags[test] = True
        for i in graph[test]:
            if flags[i[0]] == True:
                if place[i[0]] - place[test] != i[1]:
                    flag = False
                    break
            else:
                place[i[0]] = place[test] + i[1]
                queue.append(i[0])
    else:
        num += 1
if flag == True:
    print("Yes")
else:
    print("No")

### FIXED CODE ###

import collections, sys
input = sys.stdin.readline

n, m = map(int, input().split())
graph = [[] for i in range(n + 1)]
for i in range(m):
    l, r, d = map(int, input().split())
    graph[l].append([r, d])
    graph[r].append([l, -d])
place = [None for i in range(n + 1)]

num = 0
flag = True
while num <= n:
    if flag == False:
        break
    if place[num] != None:
        num += 1
        continue
    place[num] = 0
    queue = collections.deque([num])
    while queue:
        if flag == False:
            break
        test = queue.popleft()
        for i in graph[test]:
            if place[i[0]] != None:
                if place[i[0]] - place[test] != i[1]:
                    flag = False
                    break
            else:
                place[i[0]] = place[test] + i[1]
                queue.append(i[0])
    else:
        num += 1
if flag == True:
    print("Yes")
else:
    print("No")
### BUGGY CODE ###

s=input()
n=len(s)
l=[0]*2019
l[0]=1
k=0
mod=2019
for i in range(n-1,-1,-1):
  k=(k+int(s[i])*(10**(n-1-i)%mod))%mod
  l[k]+=1
ans=0
for i in l:
  ans+=i*(i-1)//2
print(ans)

### FIXED CODE ###

s=input()
n=len(s)
l=[0]*2019
l[0]=1
k=0
mod=2019
r=1
for i in range(n-1,-1,-1):
  k+=int(s[i])*r
  k%=mod
  r*=10
  r%=mod
  l[k]+=1
ans=0
for i in l:
  ans+=i*(i-1)//2
print(ans)
### BUGGY CODE ###

N = int(input())
An = list(map(int, input().split()))
Q = int(input())

bc = [map(int, input().split()) for _ in range(Q)]
b, c = [list(i) for i in zip(*bc)]

for i in range(Q):
    for j, name in enumerate(An):
        if An[j] == b[i]:
            An[j] = c[i]
    
    print(sum(An))

### FIXED CODE ###

N = int(input())

An = list(map(int, input().split()))
Q = int(input())

L = [0] * 100001
for item in An:
    L[item] += 1

sum = sum(An)

for i in range(Q):
    b, c = map(int, input().split())
    sum += (c-b) * L[b]
    L[c] += L[b]
    L[b] = 0
    print(sum)
### BUGGY CODE ###

n = int(input())
ls = [e for e in range(n+1)]
if (int((2*n)**(1/2))+1)*(int((2*n)**(1/2)))/2 < n:
    print(int((2*n)**(1/2))+1)
else:
    print(int((2*n)**(1/2)))

### FIXED CODE ###

n = int(input())
if (int((2*n)**(1/2))+1)*(int((2*n)**(1/2)))/2 < n:
    print(int((2*n)**(1/2))+1)
else:
    print(int((2*n)**(1/2)))
### BUGGY CODE ###

n = int(input())
a = list(map(int, input().split()))
ans = 0
for i in list(set(a)):
    count_of_i = a.count(i)
    if count_of_i < i:
        ans += count_of_i
    else:
        ans += count_of_i - i
print(ans)


### FIXED CODE ###

from collections import Counter
n = int(input())
a = list(map(int, input().split()))
ans = 0
counter = Counter(a)
for i in set(a):
    if counter[i] < i:
        ans += counter[i]
    else:
        ans += counter[i] - i
print(ans)
### BUGGY CODE ###

# -*- coding: utf-8 -*-
import numpy as np
N = int(input())
S = (input())

r_index_lis, g_index_lis, b_index_lis = [], [], []
for i, s in enumerate(S):
    if s == 'R':
        r_index_lis.append(i)
    elif s == 'G':
        g_index_lis.append(i)
    else:
        b_index_lis.append(i)
count = 0
for r in r_index_lis:
    for g in g_index_lis:
        for b in b_index_lis:
            rgb = sorted([r, g, b])
            if (rgb[0] - rgb[1] != rgb[1] - rgb[2]):
                count += 1
print(count)


### FIXED CODE ###

# -*- coding: utf-8 -*-
import numpy as np
import itertools
import time
N = int(input())
S = (input())
# start = time.time()
r_index_lis, g_index_lis, b_index_lis = [], [], []
for i, s in enumerate(S):
    if s == 'R':
        r_index_lis.append(i)
    elif s == 'G':
        g_index_lis.append(i)
    else:
        b_index_lis.append(i)
count = len(r_index_lis)*len(g_index_lis)*len(b_index_lis)
# print(time.time() - start)
# exit()

# for r in r_index_lis:
#     for g in g_index_lis:
#         diff = r - g
#         # count += len(b_index_lis)
#         if(min(r, g) - diff >= 0):
#             if S[min(r, g) - diff] == 'B':
#                 count -= 1
#         if(max(r, g) + diff < N):
#             if S[max(r, g) + diff] == 'B':
#                 count -= 1
#         if (r+g) % 2 == 0:
#             if S[int((r+g)/2)] == 'B':
#                 count -= 1

for i in range(N):
    for j in range(i+1, N):
        k = 2*j - i
        if k < N and S[i] != S[j] and S[i] != S[k] and S[j] != S[k]:
            count -= 1


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

H, W = map(int, input().split())
X = [[[0, 1][a=="#"] for a in input()] for i in range(H)]
def countRD(n, i, j):
    return ccc(n, i, j, 1, 1)
def countRU(n, i, j):
    return ccc(n, i, j, -1, 1)
def countLD(n, i, j):
    return ccc(n, i, j, 1, -1)
def countLU(n, i, j):
    return ccc(n, i, j, -1, -1)
def countR(n, i, j):
    return cc(n, i, j, 0, 1)
def countL(n, i, j):
    return cc(n, i, j, 0, -1)
def countD(n, i, j):
    return cc(n, i, j, 1, 0)
def countU(n, i, j):
    return cc(n, i, j, -1, 0)
def ccc(n, i, j, DU, RL):
    c = 0
    for k in range(1, n):
        if i+k*DU >= 0 and i+k*DU < H:
            if j+(n-k)*RL >= 0 and j+(n-k)*RL < W:
                c += X[i+k*DU][j+(n-k)*RL]
    return c
def cc(n, i, j, DU, RL):
    ret = 0
    if i+n*DU >= 0 and i+n*DU < H:
        if j+n*RL >= 0 and j+n*RL < W:
            ret = X[i+n*DU][j+n*RL]
    return ret
ans = 0
for i in range(H):
    for j in range(W):
        for n in range(1, max(H, W)):
            if countR(n, i, j) and countD(n, i, j):
                ans += countLU(n, i, j)
            if countR(n, i, j) and countU(n, i, j):
                ans += countLD(n, i, j)
            if countL(n, i, j) and countD(n, i, j):
                ans += countRU(n, i, j)
            if countL(n, i, j) and countU(n, i, j):
                ans += countRD(n, i, j)
            if countR(n, i, j) and countD(n, i, j) and countL(n, i, j):
                ans += 1
            if countR(n, i, j) and countD(n, i, j) and countU(n, i, j):
                ans += 1
            if countR(n, i, j) and countU(n, i, j) and countL(n, i, j):
                ans += 1
            if countD(n, i, j) and countU(n, i, j) and countL(n, i, j):
                ans += 1
            
            
print (ans)

### FIXED CODE ###

H, W = map(int, input().split())
I = [input() for _ in range(H)]
X = [[[0, 1][a=="#"] for a in inp] for inp in I]
k = 32
def r():
    global H, W, I
    I = ["".join([I[H - 1 - j][i] for j in range(H)]) for i in range(W)]
    H, W = W, H
def st1(s):
    return int(s.replace("#", "1" * k).replace(".", "0" * k), 2)
def st2(s):
    return int(s.replace("#", "0" * (k - 1) + "1").replace(".", "0" * k), 2)
def getsum(x):
    for i in range(8):
        x += x >> (k << i)
    return x & ((1 << k) - 1)

ans = 0
for _ in range(4):
    A1 = [st1(inp) for inp in I]
    A2 = [st1("".join([I[i][j] for i in range(H)])) for j in range(W)]
    B = [st2(inp[::-1]) for i, inp in enumerate(I)]
    C = [[0] * W for _ in range(H)]
    for j in range(W):
        s = 0
        m = (1 << j * k) - 1
        for i in range(H)[::-1]:
            s <<= k
            s += B[i] >> (j+1) * k
            s &= m
            C[i][j] = s
    for i in range(1, H):
        for j in range(1, W):
            ans += A1[i] >> (W - j) * k & A2[j] >> (H - i) * k & C[i][j]
    r()
            
print(getsum(ans))
### BUGGY CODE ###

mod=10**9+7
n=int(input())
T=[int(i) for i in input().split()]
A=[int(i) for i in input().split()]
Tres=[0]*n
Ares=[0]*n
Tres[0]=(0,T[0])
Ares[n-1]=(0,A[n-1])
for i in range(1,n):
  if T[i]>Tres[i-1][1]:
    Tres[i]=(0,T[i])
  else:
    Tres[i]=(1,T[i])
  if A[n-i-1]>Ares[n-i][1]:
    Ares[n-i-1]=(0,A[n-i-1])
  else:
    Ares[n-i-1]=(1,A[n-i-1])
if Tres[0]<=Ares[0]:
  ans=1
else:
  ans=0
for i in range(1,n):
  ta,tb=Tres[i]
  aa,ab=Ares[i]  
  if ta==aa==1:
    ans*=min(tb,ab)%mod
  elif ta==0 and aa==1 and tb>ab:
    ans=0
  elif ta==1 and aa==0 and tb<ab:
    ans=0
  elif ta==0 and aa==0 and tb!=ab:
    ans=0
print(ans%mod)


### FIXED CODE ###

mod=10**9+7
n=int(input())
T=[int(i) for i in input().split()]
A=[int(i) for i in input().split()]
Tres=[0]*n
Ares=[0]*n
Tres[0]=(0,T[0])
Ares[n-1]=(0,A[n-1])
for i in range(1,n):
  if T[i]>Tres[i-1][1]:
    Tres[i]=(0,T[i])
  else:
    Tres[i]=(1,T[i])
  if A[n-i-1]>Ares[n-i][1]:
    Ares[n-i-1]=(0,A[n-i-1])
  else:
    Ares[n-i-1]=(1,A[n-i-1])
if Tres[0]<=Ares[0]:
  ans=1
else:
  ans=0
for i in range(1,n):
  ta,tb=Tres[i]
  aa,ab=Ares[i]  
  if ta==aa==1:
    ans=ans*min(tb,ab)%mod
  elif ta==0 and aa==1 and tb>ab:
    ans=0
  elif ta==1 and aa==0 and tb<ab:
    ans=0
  elif ta==0 and aa==0 and tb!=ab:
    ans=0
print(ans%mod)
### BUGGY CODE ###

n = int(input())
t = 1
mod = 10**9 + 7
for i in range(1, n + 1):
    t *= i
    #t = t % mod
print(t % mod)

### FIXED CODE ###

n = int(input())
t = 1
mod = 10**9 + 7
for i in range(1, n + 1):
    t *= i
    t = t % mod
print(t)
### BUGGY CODE ###

import itertools
from functools import reduce


def gcd(a, b):
    if b == 0:
        return a
    return gcd(b, a % b)


k = int(input())
ans = 0
for abc in itertools.product([i for i in range(1, k+1)], repeat=3):
    ans += reduce(gcd, abc)

print(ans)


### FIXED CODE ###

import itertools
from functools import reduce


def gcd(a, b):
    if b == 0:
        return a
    return gcd(b, a % b)


k = int(input())
ans = 0
for abc in itertools.product([i for i in range(1, k+1)], repeat=3):
    ans += reduce(gcd, abc)

print(ans)