Harryxun/stf_run huggingface dataset:
from collections import Counter

class UnionFind():
    def __init__(self, n):
        self.par = [i for i in range(n)]
        self.rank = [0] * n
        
    def find(self, x):
        if self.par[x] == x:
            return x
        else:
            self.par[x] = self.find(self.par[x])
            return self.par[x]
            
    def union(self, x, y):
        x = self.find(x)
        y = self.find(y)
        
        if self.rank[x] < self.rank[y]:
            self.par[x] = y
        else:
            self.par[y] = x
            
            if self.rank[x] == self.rank[y]:
                self.rank[x] += 1
            

N, M = map(int, input().split())
UF = UnionFind(N)
for i in range(M):
    a, b = map(int, input().split())
    a -= 1
    b -= 1
    big = max(a, b)
    small = min(a, b)
    
    if UF.par[big] == big:
        UF.par[big] = small
    else:
        UF.union(big, small)

for i in range(N):
    UF.find(i)
    
c = Counter(UF.par)

if len(c) == 1:
    print(n)
else:
    print(max(c.values()))
    

### FIXED CODE ###

from collections import Counter

class UnionFind():
    def __init__(self, n):
        self.par = [i for i in range(n)]
        self.rank = [0] * n
    
    def find(self, x):
        if self.par[x] == x:
            return x
        else:
            self.par[x] = self.find(self.par[x])
            return self.par[x]
    
    def union(self, x, y):
        x = self.find(x)
        y = self.find(y)
        
        if self.rank[x] < self.rank[y]:
            self.par[x] = y
        else:
            self.par[y] = x
            if self.rank[x] == self.rank[y]:
                self.rank[x] += 1
                
n, m = map(int, input().split())
uf = UnionFind(n)
for i in range(m):
    a, b = map(int, input().split())
    a -= 1
    b -= 1
    uf.union(a, b)

for i in range(n):
    uf.find(i)

c = Counter(uf.par)
print(max(c.values()))
N, W = map(int, input().split())
items = [list(map(int, input().split())) for _ in range(N)]
 
 
dp = [[float('-inf') for _ in range(1000)] for _ in range(110)]
dp[0][0] = 0
for i, (item_weight, item_value) in enumerate(items):  # i番目の品
    for total_weight in range(W+10):                   # 重さの合計
        dp[i+1][total_weight] = max(dp[i][total_weight], dp[i+1][total_weight])
        dp[i+1][total_weight+item_weight] = max(dp[i][total_weight]+item_value, dp[i+1][total_weight+item_weight])
        
print(dp[N][W])

### FIXED CODE ###

N, W = map(int, input().split())
items = [list(map(int, input().split())) for _ in range(N)]

dp = [[0 for _ in range(W+10)] for _ in range(N+10)]

for i, (item_weight, item_value) in enumerate(items):
    for total_weight in range(W+1):
        if (total_weight-item_weight) >= 0:
            dp[i+1][total_weight] = max(dp[i][total_weight-item_weight] + item_value, dp[i+1][total_weight])
        dp[i+1][total_weight] = max(dp[i+1][total_weight], dp[i][total_weight])
        
print(dp[N][W])
import sys
S = input()
cnt = [0] * 26
for i in range(len(S)):
    cnt[ord(S[i]) - ord('a')] += 1

for i in range(len(S)):
    if not cnt[i]:
        print(chr(ord('a')+i))
        sys.exit()
print("None")

### FIXED CODE ###

import sys
S = input()
alphabet = "abcdefghijklmnopqrstuvwxyz"

for s in alphabet:
    if s not in S:
        print(s)
        sys.exit()

print("None")
for i in range(int(input())):
    x1, y1, x2, y2, x3, y3, x4, y4 = map(float, input().split(" "))
    if (y1 - y2) / (x1 - x2) == (y4 - y3)/ (x4 - x3): print("YES")
    else: print("NO")



### FIXED CODE ###

n = int(input())
for i in range(n):
    x1, y1, x2, y2, x3, y3, x4, y4 = map(float, input().split())
    if abs((x2 - x1) * (y4 - y3) - (y2 - y1) * (x4 - x3)) < 1e-10: print("YES")
    else: print("NO")
import sys

def solve():
    input = sys.stdin.readline
    N = int(input())
    A = [int(a) for a in input().split()]
    Count = [0] * N
    In = []
    add = 0
    for i in reversed(range(N)):
        k = i + 1
        if A[i] != Count[i]:
            Count[i] = (Count[i] + 1) % 2
            In.append(i + 1)
            add += 1
            Count[1] = (Count[1] + 1) % 2
            for div in range(2, k):
                if div ** 2 > k: break
                if k % div == 0:
                    if div ** 2 == k: Count[div - 1] = (Count[div - 1] + 1) % 2
                    else:
                        Count[div - 1] = (Count[div - 1] + 1) % 2
                        Count[(k % div) - 1] = (Count[(k % div) - 1] + 1) % 2
    if Count[0] != A[0]: print(-1)
    else:
        print(add)
        print(" ".join(map(str, In)))

    return 0

if __name__ == "__main__":
    solve()

### FIXED CODE ###

import sys

def divisor(N, B):
    i = 1
    d = []
    while i ** 2 <= N:
        if N % i == 0:
            B[i-1] = (B[i-1] + 1) % 2
            if i ** 2 < N: B[N // i - 1] = (B[N//i - 1] + 1) % 2 
        i += 1
    return 0


def solve():
    input = sys.stdin.readline
    N = int(input())
    A = [int(a) for a in input().split()]
    B = [0] * N
    ans = []
    M = 0

    for i in reversed(range(N)):
        if B[i] != A[i]:
            divisor(i+1, B)
            M += 1
            ans.append(i+1)

    print(M)
    print(" ".join(map(str, ans)))

    return 0

if __name__ == "__main__":
    solve()
N=int(input())
a=[0]*(N-1)
b=[0]*(N-1)
c=[0]*(N-1)
d=[[] for _ in range(N)]
e=[ set() for _ in range(N)] #存在する色のリスト
maxi=0
for i in range(N-1):
    a[i],b[i] = map(int,input().split())
    d[a[i]-1].append(b[i]-1)
    d[b[i]-1].append(a[i]-1)
for j in d:
    maxi=max(maxi,len(j))
for i in range(N-1):
    pos={1,2,3,4}
    pos= pos- e[a[i]-1] -e[b[i]-1]
    col=min(pos)
    c[i]=col
    e[a[i]-1].add(col)
    e[b[i]-1].add(col)
   
print(maxi)
for color in c:
    print(color)


### FIXED CODE ###

from collections import deque

N=int(input())
a=[0]*(N-1)
b=[0]*(N-1)
c=[set() for _ in range(N)] # 使用している色
d=[set() for _ in range(N)] # 隣接リスト
e=[ False for _ in range(N)] #訪問ずみかどうか
f=[0]*N  #答え
for i in range(N-1):
    a[i],b[i] = map(int,input().split())
    d[a[i]-1].add(b[i]-1)
    d[b[i]-1].add(a[i]-1)

maxi=max([len(d[i]) for i in range(N-1)])
print(maxi)
#print("c:",c)
#print("d",d)
#print("e",e)

#x=0としてBFSする

v=deque([0])
e[0]=True
color=1

while v:
  p = v.popleft()
  for q in d[p]:
    if e[q]==False:
      while color in c[p]:
        color +=1
        if color>maxi:
          color=1
      c[p].add(color)
      c[q].add(color)
      f[q]=color
      e[q]=True
      v.append(q)
      
for i in range(N-1):
  print( f[b[i]-1])
n = int(input())
d = list(map(int,input().split()))
p = 0
q = 0
m = 0
d.sort()
if (len(d)%2) == 0:
  m = (d[(len(d)//2)-1]+d[len(d)//2])/2
else:
  m = d[(len(d)//2)]
for i in range(len(d)):
  if d[i]>=m:
    if d[i] == d[i+1]:
      p = d[i]
      q = d[i+1]
    else:
      p = d[i]
      q = d[i-1]
      break
print(p-q)

### FIXED CODE ###

n = int(input())
d = sorted(list(map(int,input().split())))
print(d[n//2]-d[n//2-1])
from scipy.sparse.csgraph import csgraph_from_dense,floyd_warshall

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

A=[[10**12 for i in range(N+1)]for j in range(N+1)]
B=[[10**12 for i in range(N+1)]for j in range(N+1)]
for i in range(M):
    a,b,c=map(int,input().split())
    if c<=L:
        A[a][b]=c
        A[b][a]=c
        B[a][b]=1
        B[b][a]=1

#print(A)

AG = csgraph_from_dense(A)
A=d = floyd_warshall(AG,directed = False)
#print(A)
for i in range(N+1):
    for j in range(N+1):
        if A[i][j]<=L:
            B[i][j]=1
"""for c in range(1,N+1):
    for a in range(1,N+1):
        for b in range(1,N+1):
            A[a][b]=min(A[a][b],A[a][c]+A[c][b])
            if A[a][b]<=L:
                B[a][b]=1"""
#print(B)
BG=csgraph_from_dense(B)
B=d = floyd_warshall(BG,directed = False)
"""for c in range(1,N+1):
    for a in range(1,N+1):
        for b in range(1,N+1):
            B[a][b]=min(B[a][b],B[a][c]+B[c][b])"""

#print(B)
Q=int(input())
for i in range(Q):
    s,t=map(int,input().split())
    if B[s][t]==10**12:
        print(-1)
    else:
        print(int(B[s][t]-1))

### FIXED CODE ###

from scipy.sparse.csgraph import floyd_warshall

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

A=[[10**12 for i in range(N+1)]for j in range(N+1)]
B=[[10**12 for i in range(N+1)]for j in range(N+1)]
for i in range(M):
    a,b,c=map(int,input().split())
    if c<=L:
        A[a][b]=c
        A[b][a]=c
        B[a][b]=1
        B[b][a]=1

#print(A)


A= floyd_warshall(A,directed = False)
#print(A)
for i in range(N+1):
    for j in range(N+1):
        if A[i][j]<=L:
            B[i][j]=1
"""for c in range(1,N+1):
    for a in range(1,N+1):
        for b in range(1,N+1):
            A[a][b]=min(A[a][b],A[a][c]+A[c][b])
            if A[a][b]<=L:
                B[a][b]=1"""
#print(B)

B= floyd_warshall(B,directed = False)
"""for c in range(1,N+1):
    for a in range(1,N+1):
        for b in range(1,N+1):
            B[a][b]=min(B[a][b],B[a][c]+B[c][b])"""

#print(B)
Q=int(input())
for i in range(Q):
    s,t=map(int,input().split())
    if B[s][t]==10**12:
        print(-1)
    else:
        print(int(B[s][t]-1))
p,q,r=list(map(int,(input().split())))
pq=p+q
qr=q+r
rp=r+p
print(min([pq,qr,rp])

### FIXED CODE ###

p,q,r=list(map(int,(input().split())))
pq=p+q
qr=q+r
rp=r+p
print(min([pq,qr,rp]))
W, H, x, y = map(int, input().split(" "))
area = W * H / 2
isMultiple = 1 if W/2 == x and H/2 == y else 0

print(f"{area} {isMultiple}")


### FIXED CODE ###

W, H, x, y = map(int, input().split(" "))
area = W * H / 2
isMultiple = 1 if W/2 == x and H/2 == y else 0

print("{area} {isMultiple}".format(area=area, isMultiple=isMultiple))
def divisor(n):
    L = []
    for i in range(1,int(n**0.5)+1):
        if n%i == 0:
            L.append(i)
            L.append(n//i)
    return L
    
n = int(input())
li = sorted(divisor(n))

for i in range(len(li)):
    a = (n - (li[i])**5)**0.2
    a1 = (n - (li[i])**5)**0.2
    b1 = (n-a**5)**0.2

    a1 = round(a1)
    b1 = round(b1)
    if a1**5 - b1**5 == n:
        print(a1,b1)
        exit()
    elif a1**5 + b1**5 == n:
        print(a1,-b1)
        exit()

### FIXED CODE ###

n = int(input())
for i in range(1,121):
    for j in range(-121,121):
        if i**5 - j**5 == n:
            print(i,j)
            exit()
if input().find("9")>-1:
  print("Yes")
  else:
    print("No")


### FIXED CODE ###

if input().find('9')>-1:
  print("Yes")
else:
    print("No")
N, M = map(int, input().split())
A = list(map(int, input().split()))
ch = []
for _ in range(M):
    b, c = map(int, input().split())
    ch.append([c, b])

A.sort()
ch.sort(reverse = True)


n = -1
result = 0
fin = 0
for c, b in ch:
    if fin == 1:
        break

    n += b
    if n > N:
        for num in A[n-b+1:]:
            if c > num:
                result += c
            else:
                result += num
            fin += 1
        break
        
    if c < A[n]:
        for i, j in enumerate(A[n-b+1:]):
            if c < j:
                result += c*i + sum(A[n-b+i+1:])
                fin += 1
                break
    else:
        result += b * c


if not fin == 1:
    result += sum(A[n+1:])



print(result)


### FIXED CODE ###

N, M = map(int, input().split())
A = list(map(int, input().split()))
ch = []
for _ in range(M):
    b, c = map(int, input().split())
    ch.append([c, b])

A.sort()
ch.sort(reverse = True)


n = -1
result = 0
fin = 0
for c, b in ch:
    if fin == 1:
        break

    n += b

    if n >= N:
        for num in A[n-b+1:]:
            if c > num:
                result += c
            else:
                result += num
            fin += 1
        break

    if c < A[n]:
        for i, j in enumerate(A[n-b+1:]):
            if c < j:
                result += c*i + sum(A[n-b+i+1:])
                fin += 1
                break
    else:
        result += b * c


if not fin == 1:
    result += sum(A[n+1:])



print(result)
def edit_distance(d)
 n =len(d)
 A=[[0 for i inrange(n)] for j in range(n)]
 for long in range(2, n+1):
  for long in range(0,n+1-long):
   k=i-1+long
   def f(i,j,k):
    return A[i][j-1]+A[j][k]+]+M[i][0]*M[j-1][1]*M[k][1]
   A[i][k] = min([f(i,j,k) for j in range(i+1,k+1)])
  return A[0][n-1]
n = input()
M = []
for i in range(n):
 M.append(map(int, raw_input().split()))
print edit_distance(M)

### FIXED CODE ###

def edit_distance(M):
  n = len(M)



  m = [[0 for i in range(n)] for j in range(n)]
   
  for long in range(2, n+1):

    for i in range(0, n-long+1):

      j = i + long - 1

      def a(i, k ,j):
        return m[i][k] + m[k+1][j] + M[i][0]*M[k][1]*M[j][1]
      m[i][j] = min(a(i, k, j) for k in range(i, j))
   
  return m[0][n-1]
 
n = input()
M = []
 
for i in range(n):
  M.append(map(int, raw_input().split()))
print edit_distance(M)
#設定
import sys
input = sys.stdin.buffer.readline

#ライブラリインポート
from collections import defaultdict

#入力受け取り
def getlist():
	return list(map(int, input().split()))

#部分木 大きさ
import sys
sys.setrecursionlimit(10**7)

from collections import defaultdict

class Graph(object):
	def __init__(self):
		self.graph = defaultdict(list)

	def __len__(self):
		return len(self.graph)

	def add_edge(self, a, b):
		self.graph[a].append(b)

	def get_nodes(self):
		return self.graph.keys()

def DFS(G, A, use, Wlist, visit, node):
	for i in G.graph[node]:
		if visit[i] != "Yes":
			visit[i] = "Yes"
			DFS(G, A, use, Wlist, visit, i)
			Wlist[node].append(use[i])

	#抜けの処理
	if Wlist[node] == []:
		use[node] = A[node]
	else:
		Z = sum(Wlist[node])
		if max(max(Wlist[node]), (Z + 1) // 2) <= A[node] and A[node] <= Z:
			use[node] = 2 * A[node] - Z
		else:
			judge = "NO"

#処理内容
def main():
	N = int(input())
	A = getlist()
	G = Graph()
	for i in range(N - 1):
		a, b = getlist()
		a -= 1; b -= 1
		G.add_edge(a, b)
		G.add_edge(b, a)

	s = None
	for i in range(N):
		if len(G.graph[i]) >= 2:
			s = i
			break

	#DFS
	judge = "YES"
	use = [None] * N
	Wlist = [[] for i in range(N)]
	visit = ["No"] * N
	visit[s] = "Yes"
	DFS(G, A, use, Wlist, visit, s)
	# print(use)

	if use[s] != 0:
		judge = "NO"
	#答え
	print(judge)


if __name__ == '__main__':
	main()

### FIXED CODE ###

#設定
import sys
input = sys.stdin.buffer.readline
sys.setrecursionlimit(10**7)
#ライブラリインポート
from collections import defaultdict

#入力受け取り
def getlist():
	return list(map(int, input().split()))

class Graph(object):
	def __init__(self):
		self.graph = defaultdict(list)

	def __len__(self):
		return len(self.graph)

	def add_edge(self, a, b):
		self.graph[a].append(b)

	def get_nodes(self):
		return self.graph.keys()

def DFS(G, A, use, Wlist, visit, jud, node):
	for i in G.graph[node]:
		if visit[i] != "Yes":
			visit[i] = "Yes"
			DFS(G, A, use, Wlist, visit, jud, i)
			Wlist[node].append(use[i])

	#抜けの処理
	if Wlist[node] == []:
		use[node] = A[node]
	else:
		Z = sum(Wlist[node])
		if max(max(Wlist[node]), (Z + 1) // 2) <= A[node] and A[node] <= Z:
			use[node] = 2 * A[node] - Z
		else:
			use[node] = 2 * A[node] - Z
			jud[node] = "NO"

#処理内容
def main():
	N = int(input())
	A = getlist()
	G = Graph()
	for i in range(N - 1):
		a, b = getlist()
		a -= 1; b -= 1
		G.add_edge(a, b)
		G.add_edge(b, a)

	#面倒なケース
	if N == 2:
		if A[0] == A[1]:
			print("YES")
			return
		else:
			print("NO")
			return

	s = None
	for i in range(N):
		if len(G.graph[i]) >= 2:
			s = i
			break
	#DFS
	judge = "YES"
	use = [None] * N
	jud = ["YES"] * N
	Wlist = [[] for i in range(N)]
	visit = ["No"] * N
	visit[s] = "Yes"
	DFS(G, A, use, Wlist, visit, jud, s)
	# print(use)

	for i in range(N):
		if jud[i] == "NO":
			judge = "NO"

	if use[s] != 0:
		judge = "NO"
	#答え
	print(judge)

if __name__ == '__main__':
	main()
ls = ["A","B","C","D","E","F","G","H","I","J","K","L","M","N","O","P","Q","R","S","T","U","V","W","X","Y","Z"]
dic = {"A":1,"B":2,"C":3,"D":4,"E":5,"F":6,"G":7,"H":8,"I":9,"J":10,"K":11,"L":12,"M":13,"N":14,"O":15,"P":16,"Q":17,"R":18,"S":19,"T":20,"U":21,"V":22,"W":23,"X":24,"Y":25,"Z":26}

n = int(input())
s = input()
ans = ""
for i in range(len(s)):
  ans += ls[dic[s[i]]+n-1]
print(ans)

### FIXED CODE ###

ls = ["A","B","C","D","E","F","G","H","I","J","K","L","M","N","O","P","Q","R","S","T","U","V","W","X","Y","Z"]
dic = {"A":1,"B":2,"C":3,"D":4,"E":5,"F":6,"G":7,"H":8,"I":9,"J":10,"K":11,"L":12,"M":13,"N":14,"O":15,"P":16,"Q":17,"R":18,"S":19,"T":20,"U":21,"V":22,"W":23,"X":24,"Y":25,"Z":26}

n = int(input())
s = input()
ans = ""
for i in range(len(s)):
  ans += ls[(dic[s[i]]+n-1) % 26]
print(ans)
import numpy as np

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

a = np.array(A)
l = int(((N**2)+1)/2)
b = np.tile((1,-1),(1,l))
c = (np.delete(b, 2*l-1, axis=None)).reshape(N,N)
# print(c)
# d = c.reshape(N,N)
inv = 0.5*( np.triu(c) - ( np.tril(c) - np.eye(N) ) )
# g = np.eye(N)
# print(inv)
print(1)
# x = 2*(np.dot(inv,a))
# print(x)

# ans = list(map(str, list(map(int, list(x)))))
# print(" ".join(ans))

### FIXED CODE ###

import numpy as np
N = int(input())
A = list(map(int, input().split()))
a = np.array(A)
# l = int(((N*N)+1)/2)
b = []
for i in range(N):
    if i%2==0:
        b.append(1)
    else:
        b.append(-1)
c = np.dot(np.array(b),a)
x = [c]
for j in range(1,N):
    x_j = 2*a[j-1] - x[j-1]
    x.append(x_j)
ans = list(map(str, list(map(int, list(x)))))
print(" ".join(ans))
import math
print(math.gcd(2, 5))

### FIXED CODE ###

from fractions import gcd as GCD

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

# GCD_LtoR[i] = GCD(A0, A1, ... , A(i-1))
GCD_LtoR = [None] * N
# GCD_LtoR[i] = GCD(Ai, A(i+1), ... , AN)
GCD_RtoL = [None] * N

GCD_LtoR[0] = A[0]
for i in range(1, N):
    GCD_LtoR[i] = GCD(A[i], GCD_LtoR[i-1])

GCD_RtoL[N-1] = A[N-1]
for i in range(N-2, -1, -1):
    GCD_RtoL[i] = GCD(A[i], GCD_RtoL[i+1])

GCD_max = GCD_RtoL[1]
for i in range(0, N-1):
    # Aに含まれるAi以外の要素のGCDを計算する
    GCD_ex_i = GCD(GCD_LtoR[i-1], GCD_RtoL[i+1])
    GCD_max = max(GCD_ex_i, GCD_max)
GCD_max = max(GCD_LtoR[N-2], GCD_max)
print(GCD_max)
#-*- coding:utf-8 -*-
import math

a = int(input())
print(math.gcd(a, 2))

### FIXED CODE ###

#-*- coding:utf-8 -*-

a = int(input())

if a % 2 == 1:
        print(2*a)
else:
        print(a)
import bisect

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

ans = 0
for i in range(N-1):
  k = li[i]
  for j in range(i+1, N):
    l = li[j]
    tmp = bisect_left(li, k+l)
    ans += tmp - j -1
    
    
print(ans)


### FIXED CODE ###

import bisect

N = int(input())
A = list(map(int,input().split()))
A.sort()
ans = 0

for i in range(N-1):
  k = A[i]
  for j in range(i+1, N):
    l = A[j]
    res = bisect.bisect_left(A, k+l)
    ans += res-j-1
    
print(ans)
S=input()
list = [-1]
list2 = []

for i in range(len(S)):
    if S[i] != 'A' and S[i] != 'T' and S[i] != 'G' and S[i] != 'C':
        list.append(i)
i=0
while i<len(list)-1:
    list2.append(list[i+1]-list[i]-1)
    i += 1

for i in range(len(list2)):
    for j in range(i,len(list2)):
        if list2[i]<list2[j]:
            temp = list2[i]
            list2[i] = list2[j]
            list2[j] = temp

print(list2[0])

### FIXED CODE ###

S=input()
list = [-1]
list2 = []

for i in range(len(S)):
    if S[i] != 'A' and S[i] != 'T' and S[i] != 'G' and S[i] != 'C':
        list.append(i)

list.append(len(S))

i=0
while i<len(list)-1:
    list2.append(list[i+1]-list[i]-1)
    i += 1

for i in range(len(list2)):
    for j in range(i,len(list2)):
        if list2[i]<list2[j]:
            temp = list2[i]
            list2[i] = list2[j]
            list2[j] = temp
            
print(list2[0])
import math
from itertools import accumulate

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

L = [0]+list(accumulate(a, math.gcd))
R = list(accumulate(reversed(a), math.gcd))[::-1]+[0]

ans = 0

for i in range(n):
        ans = max(math.gcd(L[i],R[i+1]),ans)


print(ans)

### FIXED CODE ###

from fractions import gcd

n = int(input())
list_ = list(map(int, input().strip().split()))

gcd_from_left = [0]
gcd_from_right = [0]
for i in range(n):
    gcd_from_left.append(gcd(gcd_from_left[i], list_[i]))
    gcd_from_right.append(gcd(gcd_from_right[i], list_[-(i + 1)]))

gcd_from_left.insert(0, 0)
gcd_from_right.insert(0, 0)
gcd_from_right.reverse()

print(max(gcd(gcd_from_left[i], gcd_from_right[i]) for i in range(n + 2)))
n , m = map(int, input().split())
a = []
p = 0
max_wid = 0
for i in range(m):
    b = int(input())
    a.append(b)
    if i > 0:
        max_wid = max(max_wid, b)
max_wid = max(max_wid, n - a[m-1])
fib = [1, 1]
for i in range(max_wid):
    l = len(fib)
    fib.append(fib[l-2] + fib[l-1])

ans = 1
if a[0] == 0:
    ans *= 0
else:
    ans *= fib[a[0]-1]

for i in range(m-1):
    if a[i+1] == a[i] + 1:
        ans *= 0
    else:
        ans *= fib[a[i+1]-a[i]-2]
        

ans *= fib[n - a[m-1]-1]
ans %= 1000000007
print(ans)


### FIXED CODE ###

n , m = map(int, input().split())
a = []
p = 0
max_wid = 0
if m == 0:
    max_wid = n
else:
    for i in range(m):
      b = int(input())
      a.append(b)
      if i > 0:
          max_wid = max(max_wid, b)
    max_wid = max(max_wid, n - a[m-1])

fib = [1, 1]
for i in range(max_wid):
    l = len(fib)
    fib.append(fib[l-2] + fib[l-1])
ans = 1
if m == 0:
  print(fib[n]%1000000007)
else:
  
  if a[0] == 0:
      ans *= 0
  else:
      ans *= fib[a[0]-1]
  for i in range(m-1):
      if a[i+1] == a[i] + 1:
          ans *= 0
      else:
          ans *= fib[a[i+1]-a[i]-2]
  ans *= fib[n - a[m-1]-1]
  ans %= 1000000007
  print(ans)
import fractions

n=int(input())
t=[]
for i in range(n):
    t.append(int(input()))

if n == 1:
    ans=1

if n > 1:
    ans=t[0]
    for j in range(1,n):
        ans=int(ans*t[j]/fractions.gcd(ans,t[j]))
    
print(ans)

### FIXED CODE ###

import fractions
from functools import reduce
def lcm_base(x, y):
    return (x * y) // fractions.gcd(x, y)
def lcm_list(numbers):
    return reduce(lcm_base, numbers, 1)
 
n=int(input())
t=[int(input()) for i in range(n)] 
 
print(lcm_list(t))
N, K = map(int,input().split())
S = list(input())

mxl = []
Sl = []
c = 0
if S[0] == "0":
  Sl.append(0)
for i in range(N-1):
  c += 1
  if S[i] != S[i+1]:
    Sl.append(c)
    c = 0
if S[N-1] == "0":
  c += 1
  Sl.append(c)
  Sl.append(0)
else:
  c += 1
  Sl.append(c)

Kl = K*2+1

if len(Sl) ==1:
  mxl.append(Sl[0])

#for i in range(0,len(Sl)+1-Kl,2):
#  mxl.append(sum(Sl[i:Kl+i]))

print(max(mxl))


### FIXED CODE ###

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

mxl = []
Sl = []
c = 0
if S[0] == "0":
  Sl.append(0)
for i in range(N-1):
  c += 1
  if S[i] != S[i+1]:
    Sl.append(c)
    c = 0
if S[N-1] == "0":
  c += 1
  Sl.append(c)
  Sl.append(0)
else:
  c += 1
  Sl.append(c)

Kl = K*2+1

Ru = [0 for i in range(len(Sl)+1)]

if len(Sl) ==1:
  mxl.append(Sl[0])
else:
  for i in range(1,len(Sl)+1):
    Ru[i] = Ru[i-1]+Sl[i-1] 
  mxl.append(Ru[min(Kl,len(Ru)-1)])
  
for i in range(2,min(len(Sl)+1-Kl,len(Ru)-1),2):
  mxl.append(Ru[Kl+i]-Ru[i])

print(max(mxl))
n,k=map(int,input().split())
path=[[] for i in range(n)]
for i in range(n):
  a,b=map(int,input().split())
  path[a-1].append(b-1)
  path[b-1].append(a-1)
mod=10**9+7
stack=[0]
visited=[1]+[0]*(n-1)
ans=k
while stack:
  v=stack.pop(0)
  c=k-2 if v!=0 else k-1
  for d in path[v]:
    if visited[d]:
      continue
    visited[d]=1
    ans=(ans*c)%mod
    c-=1
    stack.append(d)
print(ans)

### FIXED CODE ###

n,k=map(int,input().split())
path=[[] for i in range(n)]
for i in range(n-1):
  a,b=map(int,input().split())
  path[a-1].append(b-1)
  path[b-1].append(a-1)
mod=10**9+7
stack=[0]
visited=[1]+[0]*(n-1)
ans=k
while stack:
  v=stack.pop(0)
  c=k-2 if v!=0 else k-1
  for d in path[v]:
    if visited[d]:
      continue
    visited[d]=1
    ans=(ans*c)%mod
    c-=1
    stack.append(d)
print(ans)
import sys
N=int(input())
A=[]
pai=int(1)
hantei=int(0)
A=list(map(int,input().split()))
for i in range(N):
    if A[i]==o:
        print("0")
        sys.exit()
for i in range(N):
    pai=pai*A[i]
    if pai>10**18:
        print("-1")
        hantei=int(1)
        break
if hantei==0:
    print(pai)


### FIXED CODE ###

import sys
N=int(input())
A=[]
pai=int(1)
hantei=int(0)
A=list(map(int,input().split()))
for i in range(N):
    if A[i]==0:
        print("0")
        sys.exit()
for i in range(N):
    pai=pai*A[i]
    if pai>10**18:
        print("-1")
        hantei=int(1)
        break
if hantei==0:
    print(pai)