Harryxun/stf_run huggingface dataset:
import decimal,math
from collections import Counter,defaultdict
from fractions import gcd
from bisect import bisect_right,bisect_left
decimal.getcontext().prec = 100


adj=[]
n,m = map(int,raw_input().split())
for i in range(n+1):
	adj.append([])
dp=[0]*(n+1)	
def dd(l):
	if(dp[l]!=-1):
		return dp[l]
	ma=dd(adj[l][0])
	for j in range(1,len(adj[l])):
		ma=max(ma,dd(adj[l][j]))
	dp[l]=ma+1
	return ma+1	
for i in range(m):
	x,y = map(int,raw_input().split())
	adj[y].append(x)
	dp[y]=-1
ans=[]
for i in range(1,n+1):
	ans.append(dd(i))
	# print i
print max(ans)	

### FIXED CODE ###

import decimal,math
from collections import Counter,defaultdict
from fractions import gcd
from bisect import bisect_right,bisect_left
decimal.getcontext().prec = 100
import sys
sys.setrecursionlimit(1000000)

adj=[]
n,m = map(int,raw_input().split())
for i in range(n+1):
	adj.append([])
dp=[0]*(n+1)	
def dd(l):
	if(dp[l]!=-1):
		return dp[l]
	ma=dd(adj[l][0])
	for j in range(1,len(adj[l])):
		ma=max(ma,dd(adj[l][j]))
	dp[l]=ma+1
	return ma+1	
for i in range(m):
	x,y = map(int,raw_input().split())
	adj[y].append(x)
	dp[y]=-1
ans=[]
for i in range(1,n+1):
	ans.append(dd(i))
	# print i
print max(ans)
n=int(input())

ans=0
# cnt=0
for i in range(int(n**0.5)):
    x=(n-(i+1))//(i+1)
    if n//x==n%x:
        ans+=x
    # print(n//cnt,cnt)
print(ans)

### FIXED CODE ###

import sys
from collections import *
import heapq
import math

import bisect
import copy
from itertools import permutations,accumulate,combinations,product
def input():
    return sys.stdin.readline()[:-1]
def ruiseki(lst):
    return [0]+list(accumulate(lst))
mod=pow(10,9)+7
al=[chr(ord('a') + i) for i in range(26)]
direction=[[1,0],[0,1],[-1,0],[0,-1]]

n=int(input())

ans=0
# cnt=0
if n==1:
    print(0)
    quit()
for i in range(int(n**0.5)):
    x=(n-(i+1))//(i+1)
    if n//x==n%x:
        ans+=x
    # print(n//cnt,cnt)
print(ans)
from fractions import gcd
a, b = map(int, input().split())
g = gcd(a, b)
p = list()
i = 3
while True:
  if g % i == 0:
    b = True
    for j in p:
      if i % j == 0:
        b = False
        break
    if b == True:
      p.append(i)
  i += 2
  if i > g/2:
    break
if g % 2 == 0:
  p.append(2)
for i in p:
  print(len(i)+1)

### FIXED CODE ###

from fractions import gcd

a, b = map(int, input().split())
g = gcd(a, b)

ans = 1

if g % 2 == 0:
  ans += 1
while g % 2 == 0:
  g /= 2

i = 3
while i * i <= g:
  if g % i == 0:
    ans += 1
  while g % i == 0:
    g /= i
  i += 2

if g != 1:
  ans += 1

print(ans)
def main():
  a,b = list(map(int,input().split()))
    print(a*b)
main()

### FIXED CODE ###

def main():
  a,b = list(map(int,input().split()))
  print(a*b)
main()
N = int(input())
a = list(map(int, input().split()))

a_hash = {}
for i in range(N):
    if a[i] in a_hash:
        a_hash[a[i]] += 1
    else:
        a_hash[a[i]] = 1

a_sort = sorted(a_hash.items(), key = lambda x: x[0])
a_sort = list(a_sort)
ans_list = [0] * N

if len(a) == 1:
    print(1)
    exit()

for i in range(len(a_sort)):
    if i == 0:
        if a_sort[0][0] == a_sort[1][0] - 1:
            ans_list[0] += a_sort[0][1] + a_sort[1][1]
    elif i == len(a_sort) -1:
        if a_sort[i][0] == a_sort[i-1][0] + 1:
            ans_list[i] += a_sort[i][1] + a_sort[i-1][1]
        else:
            ans_list[i] = a_sort[i][1]
    else:
        if a_sort[i][0] == a_sort[i-1][0] + 1:
            ans_list[i] += a_sort[i][1] + a_sort[i-1][1]
        if a_sort[i][0] == a_sort[i+1][0] - 1:
            ans_list[i] += a_sort[i+1][1]


print(max(ans_list))

### FIXED CODE ###

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

a_hash = {}
for i in range(N):
    if a[i] in a_hash:
        a_hash[a[i]] += 1
    else:
        a_hash[a[i]] = 1

a_sort = sorted(a_hash.items(), key = lambda x: x[0])
a_sort = list(a_sort)
ans_list = [0] * N

if len(a) == 1:
    print(1)
    exit()
if len(a_sort) == 1:
    print(a_sort[0][1])
    exit()

for i in range(len(a_sort)):
    if i == 0:
        if a_sort[0][0] == a_sort[1][0] - 1:
            ans_list[0] += a_sort[0][1] + a_sort[1][1]
    elif i == len(a_sort) -1:
        if a_sort[i][0] == a_sort[i-1][0] + 1:
            ans_list[i] += a_sort[i][1] + a_sort[i-1][1]
        else:
            ans_list[i] = a_sort[i][1]
    else:
        if a_sort[i][0] == a_sort[i-1][0] + 1:
            ans_list[i] += a_sort[i][1] + a_sort[i-1][1]
        if a_sort[i][0] == a_sort[i+1][0] - 1:
            ans_list[i] += a_sort[i+1][1]


print(max(ans_list))
#!/usr/bin/env python3
# -*- coding: utf-8 -*-

import sys

input = sys.stdin.readline

def main():
    N = int(input())
    S = list(map(int, input().split()))
    odd = {}
    even = {}
    for i in range(N):
        if i % 2 == 0:
            if S[i] not in even:
                even[S[i]] = 1
            else:
                even[S[i]] += 1
        else:
            if S[i] not in odd:
                odd[S[i]] = 1
            else:
                odd[S[i]] += 1

    n = 1000000000
    even_max1 = None
    even_max2 = None
    for ek, ev in even.items():
        if even_max1 is None:
            even_max1 = ek
        elif even_max2 is None:
            even_max2 = ek
        elif ev > even[even_max1]:
            even_max1 = ek
        elif ev > even[even_max2]:
            even_max2 = ek

    odd_max1 = None
    odd_max2 = None
    for ok, ov in odd.items():
        if odd_max1 is None:
            odd_max1 = ok
        elif odd_max2 is None:
            odd_max2 = ok
        elif ov > odd[odd_max1]:
            odd_max1 = ok
        elif ov > odd[odd_max2]:
            odd_max2 = ov

    n = min(n, N - even[even_max1] - odd[odd_max1] if even_max1 != odd_max1 else
            N - max(even[even_max1], odd[odd_max1]))
    if even_max2 is not None:
        n = min(n, N - even[even_max1] - odd[odd_max2] if even_max1 != odd_max2 else
                N - max(even[even_max1], odd[odd_max2]))
        n = min(n, N - even[even_max2] - odd[odd_max1] if even_max2 != odd_max1 else
                N - max(even[even_max2], odd[odd_max1]))
        n = min(n, N - even[even_max2] - odd[odd_max2] if even_max2 != odd_max2 else
                N - max(even[even_max2], odd[odd_max2]))

    print(n)

main()


### FIXED CODE ###

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

import sys

input = sys.stdin.readline

def main():
    N = int(input())
    S = list(map(int, input().split()))
    odd = {}
    even = {}
    for i in range(N):
        if i % 2 == 0:
            if S[i] not in even:
                even[S[i]] = 1
            else:
                even[S[i]] += 1
        else:
            if S[i] not in odd:
                odd[S[i]] = 1
            else:
                odd[S[i]] += 1

    n = 1000000000
    emk = None
    ev1 = None
    ev2 = 0
    for ek, ev in even.items():
        if emk is None:
            emk = ek
            ev1 = ev
        elif ev > ev1:
            emk = ek
            ev2 = ev1
            ev1 = ev
        elif ev > ev2:
            ev2 = ev

    omk = None
    ov1 = None
    ov2 = 0
    for ok, ov in odd.items():
        if omk is None:
            omk = ok
            ov1 = ov
        elif ov > ov1:
            omk = ok
            ov2 = ov1
            ov1 = ov
        elif ov > ov2:
            ov2 = ov

    if emk != omk:
        n = min(n, N - ev1 - ov1)
    else:
        n = min(n, N - ev1 - ov2, N - ev2 - ov1)

    print(n)

main()
print(len(set(input()for i in range(int(input())))))


### FIXED CODE ###

S=list(input())
S[3]="8"
print(*S,sep="")
from math import factorial

N=int(input())
x=list(map(int,input().split()))
MOD=10**9+7


x_dist=[x[i+1]-x[i] for i in range(N-1)]

def Cn(n,Cn_1):
    return n*Cn_1+1

ans=0
Cn_list=[1]

for n in range(2,N):
    #fact=1
    #for i in range(1,N):
        #if i!=n:
    #    fact=fact*i
    
    temp=Cn(n,Cn_list[n-2])
    Cn_list.append(temp)

for i in range(N-1):
    ans+=Cn_list[i]*x_dist[i]*factorial(N-1)/(i+1)

print((ans)%MOD)

### FIXED CODE ###

MOD = 10 ** 9 + 7
N = int(input())
x = list(map(int, input().split()))
x.sort()
 
kaijo = [1]
for i in range(1, N):
    kaijo.append(kaijo[-1] * i % MOD)
 
ans = 0
for i in range(N - 1):
    ans = (ans * (i + 1) + (x[-1] - x[i]) * kaijo[i]) % MOD
 
print(ans)
from math import *
import sympy
def eratosthenes(n):
    table = [0] * (n + 1)
    prime_list = []
    
    for i in range(2, n + 1):
        if table[i] == 0:
            prime_list.append(i)
            for j in range(i + i, n + 1, i):
                table[j] = 1
                
    return prime_list
a,b = map(int,input().split())
upper = int(sqrt(min(a,b))) + 1
pl = set(eratosthenes(upper))
common_factor = set(sympy.divisors(a))|set(sympy.divisors(b))
ans = 0
for i in common_factor:
    if i in pl:
        ans += 1
print(ans + 1)

### FIXED CODE ###

def factorize(n):
    fct = []
    b,e = 2,0
    while b*b <= n:
        while n % b == 0:
            n //= b
            e += 1
        if e > 0:
            fct.append((b,e))
        b,e = b+1,0
    if n > 1:
        fct.append((n,1))
    return fct
a,b = map(int,input().split())
ap = set()
for prime,count in factorize(a):
    ap.add(prime)
bp = set()
for prime,count in factorize(b):
    bp.add(prime)
print(len(ap&bp)+1)
# -*- coding: utf-8 -*-

import numpy as np
import itertools
import sys

sys.setrecursionlimit(3000)

and_memo = {}


def list_subarray_sums(arr, length):
    cumsum = np.insert(np.cumsum(arr), 0, 0)
    for l in range(1, length + 1):
        for i in range(length - l + 1):
            yield cumsum[l + i] - cumsum[i]


def logical_and(arr, lenght, idx=0):
    if idx == lenght - 1:
        return arr[-1]
    if arr[idx] == 0:
        return 0

    key = tuple(arr[idx:])
    if key in and_memo:
        return and_memo[key]

    result = arr[idx] & logical_and(arr, lenght, idx + 1)
    and_memo[key] = result
    return result


if __name__ == '__main__':
    N, K = map(int, input().split(' '))
    A = np.array(list(map(int, input().split(' '))))

    sums = set(list_subarray_sums(A, N))
    combinations = itertools.combinations(sums, K)
    ands = map(lambda arr: logical_and(arr, K), combinations)

    print(max(ands))


### FIXED CODE ###

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

if __name__ == '__main__':
    N = int(input())
    A = list(map(int, input().split(' ')))

    A_average = sum(A) / N
    result = sorted(range(N), key=lambda i: abs(A[i] - A_average))

    print(result[0])
n,m = map(int, input().split())
sc = [map(int, input().split()) for _ in range (m)]
s,c = [list(i) for i in zip(*sc)]

for j in range(10**(n-1),10**n+1):
    judge = 0
    for k in range(m):
        if str(j)[s[k]-1] == str(c[k]):
            judge += 1
        else:
            pass

    if judge == m:
        print(j)
        break
    elif j == 10**n:
        print(-1)
        #print(judge) #test
    else:
        pass

### FIXED CODE ###

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

if m != 0:
    sc = [map(int, input().split()) for _ in range (m)]
    s,c = [list(i) for i in zip(*sc)]
else:
    pass

start = 0 if n == 1 else 10**(n-1)
for j in range(start,10**n+1):
    judge = 0
    for k in range(m):
        if str(j)[s[k]-1] == str(c[k]):
            judge += 1
        else:
            pass

    if judge == m:
        print(j)
        break
    elif j == 10**n:
        print(-1)
        #print(judge) #test
    else:
        pass
from collections import deque
n, q = map(int, input().split())
graph = [[] for _ in range(n)]
for i in range(n-1):
    a, b = map(int, input().split())
    a -= 1
    b -= 1
    graph[a].append(b)
    graph[b].append(a)

ans = [0]*n
for i in range(q):
    p, x = map(int, input().split())
    ans[p-1] += x

stack = deque(0)
seen = [False]*n
while len(stack) > 0:
    parent = stack.pop()
    seen[parent] = True
    for child in graph[parent]:
        if seen[child]:
            continue
        ans[child] += ans[parent]

print(*ans)

### FIXED CODE ###

from collections import deque
n, q = map(int, input().split())
graph = [[] for _ in range(n)]
for _ in range(n-1):
    a, b = map(int, input().split())
    a -= 1
    b -= 1
    graph[a].append(b)
    graph[b].append(a)

ans = [0]*n
for _ in range(q):
    p, x = map(int, input().split())
    ans[p-1] += x

stack = deque([0])
seen = [False]*n
while len(stack) > 0:
    parent = stack.pop()
    seen[parent] = True
    for child in graph[parent]:
        if seen[child]:
            continue
        ans[child] += ans[parent]
        stack.append(child)

print(*ans)
N = int(input())
A = list(map(float,input().split()))


for i in range(N):
 if(i == 0): ans = A[i]
 else: ans = ans*A[i]
  
ans = '{:.19g}'.format(ans)  
if(ans[1] == 'e'):
  print('-1')
else:
  print(ans)

### FIXED CODE ###

N = int(input())
A = list(map(int,input().split()))
         
if(0 in A):
  ans = 0 
else:
  ans = 1       
  for a in A:
    ans *= a
    if(ans > 10**18):
      ans = -1
      break
    if(len(str(ans))>=2):
     if(str(ans)[1] == 'e'):
      ans = -1
      break
         
print(ans)
input = input('>> ')
ans = pow(input,3)
print(ans)


### FIXED CODE ###

x = input('')
x = int(x)
ans = int(pow(x,3))
print(ans)
import numpy as np
import sys
#import copy


def xnxn(n=0):
    """
    args:
        int n: a number of lows to read
    example:
        input   1
        retrun  1

        input   1 2 3
        return  [1,2,3]
        input   1 2 3
                4 
        return  [[1,2,3],
                [4]]
    """
    if n == 0:
        temp = list(map(int, input().split()))
        if len(temp) == 1:
            return temp[0]
        elif len(temp) > 1:
            return temp
    else:
        temp = [list(map(int, input().split())) for _ in range(n)]
        return temp


def sp_xnxn(n=0):
    """
    args:
        int n: a number of lows to read
    example
        input   1
        retrun  [1]

        input   123
        return  [1,2,3]

        input   123
                4 
        return  [[1,2,3],
                [4]]
    """
    if n == 0:
        return [int(k) for k in xsxs()]
    else:
        return [[int(k) for k in xsxs()] for _ in range(n)]


def xsxs(n=0):
    """
    args:
        int n: a number of lows to read 
    example:
        input   AA
        retrun  AA

        input   A BBB CC
        return  ["A","BBB","CC"]

        input   A BB CCC
                D
        return  [["A","BBB","CC"],
                ["D"]]
    """
    if n == 0:
        temp = list(input().split())
        if len(temp) == 1:
            return temp[0]
        elif len(temp) > 1:
            return temp
    else:
        return [list(input().split()) for _ in range(n)]


def sp_xsxs(n=0):
    """
    args:
        int n: a number of lows to read 
        example:
            input   A
            retrun  ["A"]

            input   ABC
            return  ["A","B","C"]

            input   ABC
                    D
            return  [["A","B","C"],
                    ["D"]]
    """
    if n == 0:
        return [s for s in xsxs()]
    else:
        return [[s for s in xsxs()] for _ in range(n)]


a, b = xnxn()

print(int(a*b))


### FIXED CODE ###

a, b = list(input().split())

a = int(a)
b = b.replace(".", "")
b = int(b)
print(int(a*b)//100)
n=int(input())
a=[]
for i in range(n):
       a〔int(input())〕=i
print(a)
       


### FIXED CODE ###

import math
n=int(input())
print(math.ceil(n/2)/n)
import math
#数値ひとつ
I = int(input())
#数値欲しいとき
#N, M = map(int, input().split())
#文字欲しいとき
#N = input()
#それをListにしたいとき
#listA = list(N)
#受け取る数が未定かつリストにしたいとき
#list = list(map(int, input().split()))
#受け取る文字列が未定かつリストにしたいとき
list = '\n'.join(iter(input, ''))
print(len(set(list)))

### FIXED CODE ###

import math
#数値ひとつ
I = int(input())
#数値欲しいとき
#N, M = map(int, input().split())
#文字欲しいとき
#N = input()
#それをListにしたいとき
#listA = list(N)
#受け取る数が未定かつリストにしたいとき
#list = list(map(int, input().split()))
#受け取る文字列が未定かつリストにしたいとき(Iは回数)
list = [input() for i in range(I)]
print(len(set(list)))
print(int(input())**2-int(input())

### FIXED CODE ###

print(int(input())**2-int(input()))
from functools import reduce
import math
n,x=map(int,input().split())
l=list(map(int,input().split()))
if n==1: ans=abs(l[0]-x)
else: ans=reduce(math.gcd,[abs(x-c) for c in l if abs(c)!=abs(x)])
print(ans)


### FIXED CODE ###

def gcd(a,b):
        while b:
            a,b=b,a%b
        return a
def solve(lis,x):
    if len(lis)==1:
        return abs(lis[0]-x)
    lis=[abs(c-x) for c in lis]
    ans=gcd(lis[0],lis[1])
    for x in lis[2:]:
        if x!=0:
            ans=gcd(ans,x)
    return ans 
n,x=map(int,input().split())
l=list(map(int,input().split()))
print(solve(l,x))
n = input()
number = len(n)
change = 0
for i in range(number//2):
  if n[i] != n[number - i]:
    change += 1
    
print(change)

### FIXED CODE ###

n = input()
number = len(n)
change = 0
for i in range(number//2):
  if n[i] != n[number - i -1]:
    change += 1
    
print(change)
now_wether = input() 

if now_wether == "Sunny":
  print(Cloudy)
elif now_wether == "Cloudy":
  print(Rainy)
else:
  print(Sunny)
  
  
  

 

### FIXED CODE ###

now_wether = input() 

if now_wether == "Sunny":
  print("Cloudy")
elif now_wether == "Cloudy":
  print("Rainy")
else:
  print("Sunny")
from itertools import accumulate

n = int(input())
lst =[list(map(int,input().split())) for i in range(n)]

lst_p = [lst[0][0]]
for i in range(n):
    a = sum(lst[0][i+1:]) + lst[1][-1]
    b = sum(lst[1][i:])
    if a > b:
        lst_p =  lst_p + [lst[0][i+1]]
        if i == n-1:
            lst_p = lst_p + [lst[1][-1]] 
    else:
        lst_p = lst_p + lst[1][i:]
        break
print(list(accumulate(lst_p))[-1])

### FIXED CODE ###

n = int(input())
lst =[list(map(int,input().split())) for i in range(2)]

ans = []
for i in range(n):
    if i != n-1:
        ans = ans + [sum(lst[0][:i+1]) + sum(lst[1][i:])]
    else:
        ans = ans + [sum(lst[0][:]) + lst[1][-1]]
print(max(ans))
A,B=map(iny,input().split())
if A<=8 and B<=8:
    print('Yay!')
else :
    print(':(')

### FIXED CODE ###

A,B=map(int,input().split())
if A<=8 and B<=8:
    print('Yay!')
else :
    print(':(')
import numpy as np

K,N=map(int,input().split())
A=list(map(int,input().split()))
A.sort()
x=np.array(A[1:])
y=np.array(A[:-1])
B=list(map(x-y))
B.append(K+A[0]-A[N-1])
print(K-max(B))

### FIXED CODE ###

import numpy as np

K,N=map(int,input().split())
A=list(map(int,input().split()))
A.sort()
x=np.array(A[1:])
y=np.array(A[:-1])
B=x-y
C=B.tolist()
C.append(K+A[0]-A[N-1])
print(K-int(max(C)))
import itertools
N,M,X=map(int, input().split())
List=[list(map(int,input().split())) for i in range(M)]


print(List)
flag=True
i=1
champ=100000
total_cost=100000
while flag:
    newlist=list(itertools.combinations(range(N),i))
    for j in range(len(newlist)):
        for s in range(1,M+1):
            if sum(List[t][s] for t in newlist[j])<X:
                flag2=False
                break
        if flag2!=False:    
            total_cost=sum(List[t][0] for t in newlist[j])
        if total_cost<champ:
            champ=total_cost
        flag2=True
    if champ!=100000:
        print(champ)
        flag=False
        break
    i=i+1
    if i==N+1:
        break

if flag:    
    print(-1)

### FIXED CODE ###

N,M,X=map(int, input().split())
List=[list(map(int,input().split())) for i in range(N)]



ans=10000000000000
for j in range(1,2**(N+1)-1):
    combinationlist=list(map(int, [i for i in format(2**(N+1)+j,'b')]))
    del combinationlist[0]
    sumoflist=[sum(combinationlist[s]*List[s][k] for s in range(N)) for k in range(M+1)]
    flag=True
    for t in range(1,M+1):
        if sumoflist[t]<X:
            flag=False
            break
    if flag and sumoflist[0]<ans:
        ans=sumoflist[0]

if ans!=10000000000000:
    print(ans)
else:
    print(-1)
while True:
    s=input().split()
    t=[int(s) for i in s]
    if t[0]==0:
        break
    else:
        for i in range(t[0]):
            print("#"*t[1])
        |


### FIXED CODE ###

while True:
    s=input().split()
    t=[int(l) for l in s]
    if t[0]==0:
        break
    else:
        for i in range(t[0]):
            print("#"*t[1])
        print()
n=int(input())
s=input().split(' ')

flag=1
m=0

while flag:
	flag=0
	for j in range(1,n):
                j=n-j
		if s[j]<s[j-1]:
			a=s[j]
			s[j]=s[j-1]
			s[j-1]=a
			m+=1
			flag=1

print(' '.join(s))
print(m)



### FIXED CODE ###

n=int(input())
s=input().split(' ')

flag=1
m=0

while flag:
    flag=0
    for j in range(1,n):
        j=n-j
        if int(s[j])<int(s[j-1]):
            a=s[j]
            s[j]=s[j-1]
            s[j-1]=a
            m+=1
            flag=1

print(' '.join(s))
print(m)
n,m = map(int,input().split())
S = list(map(str,input().split()))
ac = 0
wa = 0
i = 0
j = 0
for j in range(n):
  for i in range(m):
    if S[i] == "AC":
      ac += 1
      i += 1
      j += 1
    else:
      wa += 1
      i += 1
print(ac)
print(wa)


### FIXED CODE ###

N,M = map(int,input().split())
AC = 0
penalty = 0
AC_list = [0]*N
WA_list = [0]*N

for i in range(M):
  p,s = map(str,input().split())
  p = int(p)-1
  if s == "AC" and AC_list[p] == 0:
    AC += 1
    AC_list[p] = 1
    penalty += WA_list[p]
  elif s == "WA":
    WA_list[p] += 1
  if AC == N:
    break
print(AC,penalty)
S = input()
def kaibun_check(bun):
    if bun == bun[::-1]
        return True
    else:
        return False
if kaibun_check(S):
    if kaibun_check(S[:len(S)/2]):
        print(Yes)
    else:
        print(No)
else:
    print(No)

### FIXED CODE ###

S = input()
def kaibun_check(bun):
    if bun == bun[::-1]:
        return True
    else:
        return False
if kaibun_check(S):
    idx = int((len(S) -1)/2)
    if kaibun_check(S[:idx]):
        print("Yes")
    else:
        print("No")
else:
    print("No")
n, m = map(int, input().split())
temp = [0] * (n + 1)
temp[0] = 0
temp[1] = 1
temp[2] = 2
for i in range(3, n + 1):
  temp[i] = temp[i-1] + temp[i-2]

mod = 10 ** 9 + 7
start = 0
cnt = 1
for i in range(m):
  ko = int(input())
  if ko == 1:
    start = ko + 1
    continue
  end = ko - 1
  diff = end - start
  if diff < 0:
    diff = 0
  cnt = cnt * temp[diff]
  start = ko + 1

if n - start != 0:
  cnt = cnt * temp[n - start]
print(cnt % mod)

### FIXED CODE ###

n, m = map(int, input().split())
MOD = 1000000007

fact=[0,1]
fact_inv=[0]*(n+1)
for i in range(2,n+1):
  fact.append(fact[-1]*i % MOD)

fact_inv[n] = pow(fact[n],MOD-2,MOD)
for i in range(n-1,-1,-1):
  fact_inv[i] = fact_inv[i+1]*(i+1)%MOD

def comb(n,r):
  return fact[n]*fact_inv[r]*fact_inv[n-r]%MOD

def sigmaComb(dis):
  ans=0
  if dis == 1 or dis == 0:
    return 1
  end=dis//2+1
  for i in range(end):
    t=comb(dis-i,i)
    #print(dis-i,i,t)
    ans+=t
  return ans

hole=[0]
ans=1
for i in range(m):
  t = int(input())
  availLeft=hole[-1]
  availRight=t-1
  dis=availRight-availLeft
  if dis <0:
    ans=0
    break

  ans=ans*sigmaComb(dis)%MOD
  #print("dis=",dis,t,ans)
  hole.append(t+1)
else:
  availLeft=hole[-1]
  availRight=n
  dis=availRight-availLeft
  #print("dis=",dis,hole[-1],ans)
  ans=ans*sigmaComb(dis)%MOD

print(ans%MOD)
n = int(input())
h = list(map(int, input().split()))
cost = [-1 for i in range(n)]

def ans(n):
  if cost[n] != -1:
    return cost[n]
  cost[n] = min(ans(n-1) + abs(h[n-1] - h[n]), ans(n-2) + abs(h[n-2] - h[n]))
  return cost[n]

cost[0] = 0
cost[1] = abs(h[0] - h[1])
print(ans(n-1))

### FIXED CODE ###

import sys
sys.setrecursionlimit(1000000)

n = int(input())
h = list(map(int, input().split()))
cost = [-1] * n

def ans(n):
  if cost[n] != -1:
    return cost[n]
  cost[n] = min(ans(n-1) + abs(h[n-1] - h[n]), ans(n-2) + abs(h[n-2] - h[n]))
  return cost[n]

cost[0] = 0
cost[1] = abs(h[0] - h[1])
print(ans(n-1))
def check(lis):
    if lis[0] > lis[1]:
        return lis[::-1]
    else:
        return lis


while True:
    l = list(map(int, input().spilt()))
    if sum(l) == 0:
        break
    print(*check(l))



### FIXED CODE ###


def check(lis):
    if lis[0] > lis[1]:
        return lis[::-1]
    else:
        return lis


while True:
    l = list(map(int, input().split()))
    if sum(l) == 0:
        break
    print(*check(l))
while True:
 a,b=map(int,input().split())
 digit=(a+b)
 digit2=str(digit)
 print(len(digit2))
print('')

### FIXED CODE ###

try:
 while True:
  a,b=map(int,input().split())
  digit=(a+b)
  digit2=str(digit)
  print(len(digit2))
except:
   pass