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

import sys, re
from collections import deque, defaultdict, Counter
from math import ceil, sqrt, hypot, factorial, pi, sin, cos, radians, atan, degrees
from itertools import permutations, combinations, product, accumulate
from operator import itemgetter, mul
from copy import deepcopy
from string import ascii_lowercase, ascii_uppercase, digits
from fractions import gcd
from bisect import bisect

def input(): return sys.stdin.readline().strip()
def INT(): return int(input())
def MAP(): return map(int, input().split())
def LIST(): return list(map(int, input().split()))
sys.setrecursionlimit(10 ** 9)
INF = float('inf')
mod = 10 ** 9 + 7

N = INT()
ab = [LIST() for _ in range(N-1)]

graph = defaultdict(list)

edge = [[0]*N for _ in range(N)]
for a, b in ab:
	graph[a-1].append(b-1)
	graph[b-1].append(a-1)

K = 0
for i in graph:
	K = max(K, len(graph[i]))

def DFS(i, color_from):  # color_fromからきた色を使わない
	can_use_color = list(range(1, K+1))
	if color_from:
		can_use_color.remove(color_from)
	for node in graph[i]:
		if not edge[i][node]:
			use_color = can_use_color.pop()
			edge[i][node] = use_color
			edge[node][i] = use_color
			DFS(node, use_color)

DFS(0, None)

print(K)
for a, b in ab:
	print(edge[a-1][b-1])


### FIXED CODE ###

import sys, re
from collections import deque, defaultdict, Counter
from math import ceil, sqrt, hypot, factorial, pi, sin, cos, radians, atan, degrees
from itertools import permutations, combinations, product, accumulate
from operator import itemgetter, mul
from copy import deepcopy
from string import ascii_lowercase, ascii_uppercase, digits
from fractions import gcd
from bisect import bisect

def input(): return sys.stdin.readline().strip()
def INT(): return int(input())
def MAP(): return map(int, input().split())
def LIST(): return list(map(int, input().split()))
sys.setrecursionlimit(10 ** 9)
INF = float('inf')
mod = 10 ** 9 + 7

def main():
	N = INT()
	ab = [LIST() for _ in range(N-1)]

	graph = defaultdict(list)

	# edge = [[0]*N for _ in range(N)]
	edge = defaultdict(int)
	for a, b in ab:
		graph[a-1].append(b-1)
		graph[b-1].append(a-1)

	K = 0
	for v in graph.values():
		K = max(K, len(v))
	color = list(range(1, K+1))

	q = deque()
	q.append((0, None))

	while q:
		i, color_from = q.popleft()
		tmp = -1
		for node in graph[i]:
			str_ = "{},{}".format(i, node)
			if not edge[str_]:
				use_color = color[tmp]
				if use_color == color_from:
					use_color = color[tmp-1]
					tmp -= 1
				tmp -= 1
				edge[str_] = use_color
				edge["{},{}".format(node, i)] = use_color
				q.append((node, use_color))
	print(K)
	for a, b in ab:
		print(edge["{},{}".format(a-1, b-1)])


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

import math

N=int(input())


for i in range(1,N+1):
    count=0
    for x in range(1,int(math.sqrt(i))+2):
        for y in range(1,N-x+1):
            for z in range(1,i-x-y+1):
                if x**2+y**2+z**2+x*y+y*z+z*x==i:
                    count+=1
    print(count)

### FIXED CODE ###

import math

N=int(input())
ARR=[0]*(N+1)

for x in range(1,101):
    for y in range(1,101):
        for z in range(1,101):
            res=x**2+y**2+z**2+x*y+y*z+z*x
            if res<=N:
                ARR[res]+=1

for i in ARR[1:]:
    print(i)
### BUGGY CODE ###

n = int(input())
lst = []
for i in range(n):
    s = input()
    if not s in lst:
        lst.append(s)
print(len(lst))

### FIXED CODE ###

n = int(input())
dic = {}
for i in range(n):
    s = input()
    if not s in dic:
        dic[s] = 1
print(len(dic))
### BUGGY CODE ###

import sys, collections

def count(q, ans):
    unused = collections.deque()
    ans += 1
    num = -1
    while q:
        n = q.popleft()
        if n <= num:
            unused.append(n)
        else:
            num = n
    return unused, ans

def solve():
    input = sys.stdin.readline
    N = int(input())
    col = 0
    q = collections.deque()
    for _ in range(N):
        q.append(int(input()))

    while q:
        q, col = count(q, col)

    print(col)
    return 0

if __name__ == "__main__":
    solve()

### FIXED CODE ###

import sys
from bisect import bisect_right, bisect_left

def solve():
    input = sys.stdin.readline
    N = int(input())
    A = [int(input()) for _ in range(N)]
    col = [1] * N
    col[0] = -A[0]
    for a in A[1:]:
        index = bisect_right(col, -a)
        col[index] = -a
        #print(col, index)
    ans = bisect_right(col, 0)
    print(ans)

    return 0

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

A, B = map(int, input().split())
while A % B != 0:
	A, B = B, A % B
G = B
ans = 1
list = [2]
for i in range(3, G + 1):
	chk = True
	for j in list:
		if i % j == 0:
			chk = False
	if chk == True:
		list.append(i)
for k in list:
	if G % k == 0:
		ans += 1
print(ans)

### FIXED CODE ###

import collections
def prime_factorize(n):
	list = []
	while n % 2 == 0:
		list.append(2)
		n //= 2
	f = 3
	while f * f <= n:
		if n % f == 0:
			list.append(f)
			n //= f
		else:
			f += 2
	if n != 1:
		list.append(n)
	return list

A, B = map(int, input().split())
while A % B != 0:
	A, B = B, A % B
G = B
c = collections.Counter(prime_factorize(G))
print(len(list(c.keys())) + 1)
### BUGGY CODE ###

s = input()
cnt=0
while True:
    for i in range(len(s)):
        try: 
            if '10' in s:
                s=s.replace('10', '',1) 
                cnt+=2
        except:
            pass
        try: 
            if '01' in s:
                s=s.replace('01', '',1) 
                cnt+=2
        except:
            pass

    break
print(cnt)

### FIXED CODE ###

#120 C
S =input()
print(min(S.count('0'),S.count('1'))*2)
### BUGGY CODE ###

import heapq

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

hq = []

a.sort()
f.sort(reverse = True)

for i in range(n):
    heapq.heappush(hq, (-a[i]*f[i], a[i], f[i]))

for i in range(k):
    s,a1,f1 = heapq.heappop(hq)
    if s == 0:
        print(0)
        exit()
    a1 -= 1
    heapq.heappush(hq, (-a1*f1, a1, f1))

print(-heapq.heappop(hq)[0])


### FIXED CODE ###

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

def hantei(c):
    tmp = 0
    for i in range(n):
        if af[i] > c:
            a1 = c // f[i]
            tmp += a[i]- a1
    if tmp <= k:
        return True
    else:
        return False

hq = []

a.sort()
f.sort(reverse = True)

af = []
for i in range(n):
    af.append(a[i] * f[i])

l = 0
r = 10**12+10

while r - l > 1:
    c = (l + r) // 2
    if hantei(c):
        r = c
    else:
        l = c

if hantei(l):
    print(l)
else:
    print(r)
### BUGGY CODE ###

from collections import Counter
n = int(input())
a = list(map(int,input().split()))
a.sort()
t = Counter(a)
b = []
for i, j in t.most_common():
	if j == 1:
		b.append(i)
bset = set(a)
"""
全探索はだめです
dp[i] := iまでを選んだときの通り数
dp[i+1] := dp[i] + sum(dp*(if warikireru))
"""



def makediv(n):
	lower_divisors , upper_divisors = [], []
	i = 1
	while i*i <= n:
		if n % i == 0:
			lower_divisors.append(i)
			if i != n // i:
				upper_divisors.append(n//i)
		i += 1
	return lower_divisors + upper_divisors[::-1]

ans = 0
for i in b:
	k = makediv(i)
	k.remove(i)
	mode = 1
	for l in k:
		if l in bset:
			mode = 0
			break
	if mode:
		ans += 1
print(ans)

### FIXED CODE ###

import itertools
from collections import Counter
h = int(input())
if h == 1:
	print(1)
	exit()
a = list(map(int,input().split()))
t = Counter(a)
b = []
for i, j in t.most_common():
	if j == 1:
		b.append(i)
bset = set(a)

def sieve(n):
	ret = []
	divlis = [-1]*(n+1)  # 何で割ったかのリスト(初期値は-1)
	flag = [True]*(n+1)
	flag[0] = False
	flag[1] = False
	ind = 2
	while ind <= n:
		if flag[ind]:
			ret.append(ind)
			ind2 = ind**2
			while ind2 <= n:
				flag[ind2] = False
				divlis[ind2] = ind
				ind2 += ind
		ind += 1
	#何で割ったかのリストを取得したいとき, divlisも出力する
	return ret

k = sieve(1000)

def pfact(m):
	pf = {}
	cnt = 0
	i = k[cnt]
	st = len(k)
	while m > 1 and cnt < st:
		i = k[cnt]
		while m%i == 0:
			pf[i] = pf.get(i,0) + 1
			m //= i
		cnt += 1
	if m>1 : pf[m]=1
	return pf

def makediv(n):
	s = pfact(n)
	k = [range(i+1) for i in s.values()]
	ansl = []
	for i in itertools.product(*k):
		ans = 1
		for n, j in enumerate(s.keys()):
			ans *= (j**i[n])
		ansl.append(ans)
	ansl.sort()
	return ansl

ans = 0
for i in b:
	t=makediv(i)
	t.remove(i)
	mode = 1
	for l in t:
		if l in bset:
			mode = 0
			break
	if mode:
		ans += 1
print(ans)
### BUGGY CODE ###

n = int(input())
count = 0
result = 0
if n == 1:
  print(1)
else:
  for i in range(0, n+1, 2):
    counta = 0
    num = i
    while (num % 2 == 0):
      num = num/2
      counta += 1
    if counta > count:
      count = counta
      result = i
  print(result)

### FIXED CODE ###

n=int(input())
ans=1
for i in range(7):
    if 2**i<=n:ans=2**i
print(ans)
### BUGGY CODE ###

import io
import sys
from functools import lru_cache

sys.setrecursionlimit(10 ** 7)
HOGE = 10 ** 9 + 7


def IN_S():
  return input()


def IN_I():
  return int(input())


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


def IN_L_S():
  return list(map(str, input().split()))


def STR_SPLIT(s, n):
  for l in range(0, len(s), n):
    yield s[0 + l:n + l]


def T_IN():
  global test_str
  sys.stdin = io.StringIO(test_str[1:-1])


test_str = '''
2000 3
'''


def MAIN():
  # T_IN()
  A()


def A():
  x = IN_L_I()
  n = x[0]
  k = x[1]

  for i in range(1, k + 1):
    blue = f(k, i)

    red = 0
    red += f(n - k, i - 1)
    red += f(n - k, i)
    red += f(n - k, i)
    red += f(n - k, i + 1)

    res = int((blue * red) % HOGE)
    print(res)
  return None


def f(x: int, y: int):
  if x < y:
    return 0
  if x == y == 0:
    return 1
  if x == y:
    return 1
  if y < 1:
    return 0
  return f2(x - y, y)


def f2(x: int, y: int):
  return c(x + y - 1, y - 1)


def c(a: int, b: int):
  return pascal(a, b)


@lru_cache(maxsize=None)
def pascal(x, y):
  if x == 0 or y == 0 or x == y:
    return 1
  else:
    return (pascal(x - 1, y - 1) + pascal(x - 1, y)) % HOGE


MAIN()


### FIXED CODE ###

import io
import sys

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


def IN_S():
  return input()


def IN_I():
  return int(input())


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


def IN_L_S():
  return list(map(str, input().split()))


def STR_SPLIT(s, n):
  for l in range(0, len(s), n):
    yield s[0 + l:n + l]


def T_IN():
  global test_str
  sys.stdin = io.StringIO(test_str[1:-1])


test_str = '''
2000 3
'''


def MAIN():
  # T_IN()
  cmb_init(MOD)
  A()


def A():
  x = IN_L_I()
  n = x[0]
  k = x[1]

  res = []
  for i in range(1, k + 1):
    blue = f(k, i)

    # red = 0
    # red += f(n - k, i - 1)
    # red += f(n - k, i)
    # red += f(n - k, i)
    # red += f(n - k, i + 1)
    red = f2(n - k - (i - 1), i + 1)

    res.append((blue * red) % MOD)

  [print(i) for i in res]
  return None


def f(x: int, y: int):
  if x < y:
    return 0
  if x == y == 0:
    return 1
  if y < 1:
    return 0
  return f2(x - y, y)


def f2(x: int, y: int):
  return c(x + y - 1, y - 1)


def c(a: int, b: int):
  return cmb(a, b, MOD)


def track(func):
  def tracked(*args, **kwargs):
    result = func(*args, **kwargs)
    name = func.__name__
    arg_str = ",".join(repr(arg) for arg in args)
    print("%s(%s) -> %r" % (name, arg_str, result))
    return result

  return tracked


### CMB ###############################
def cmb(n, r, mod):
  if (r < 0 or r > n):
    return 0
  r = min(r, n - r)
  return g1[n] * g2[r] * g2[n - r] % mod


def cmb_init(mod):
  for i in range(2, N + 1):
    g1.append((g1[-1] * i) % mod)
    inverse.append((-inverse[mod % i] * (mod // i)) % mod)
    g2.append((g2[-1] * inverse[-1]) % mod)


N = 10 ** 4
g1 = [1, 1]
g2 = [1, 1]
inverse = [0, 1]

### CMB ###############################


MAIN()
### BUGGY CODE ###

n=int(input())
L=list(map(int,input().split()))
L.sort(reverse=True)
ans=0
for i in range(n):
  for j in range(i+1,n):
    for k in range(j+1,n):
      if L[i] < L[j] + L[k]:
        ans+=1
print(ans)

### FIXED CODE ###

import bisect
n=int(input())
L=sorted(list(map(int,input().split())))
ans=0
for i in range(n-2):
  for j in range(i+1,n-1):
    k=bisect.bisect_left(L,L[i]+L[j],j+1)-1
    ans+=k-j
print(ans)
### BUGGY CODE ###

n, k = map(int, input().split())
L= list(map(int, input().split()))
S=[]
S.append(1)
p=0
cnt=0
for i in range(n):
	if L[p] in S:
		cnt+=1
		S.append(L[p])
		break
	else:
		cnt+=1
		S.append(L[p])
		p=L[p]-1

cnt2=0
for i in range(n):
	if S[i]!=L[p]:
		cnt2+=1
	else:
		S2=S[i:]
		break
loop=len(S)-cnt2-1


if cnt>=k:
	print(S[k])
else:
	print(S2[(k-cnt)%loop])

### FIXED CODE ###

n, k = map(int, input().split())
L= list(map(int, input().split()))
S=[]
S.append(1)
Q=set()
Q.add(1)
p=0
cnt=0
for i in range(n):
	if L[p] in Q:
		cnt+=1
		S.append(L[p])
		break
	else:
		cnt+=1
		S.append(L[p])
		Q.add(L[p])
		p=L[p]-1

cnt2=0
for i in range(n):
	if S[i]!=L[p]:
		cnt2+=1
	else:
		S2=S[i:]
		break
loop=len(S)-cnt2-1


if cnt>=k:
	print(S[k])
else:
	print(S2[(k-cnt)%loop])
### BUGGY CODE ###

n = int(input())
li = list(map(int, input().split()))
num = list(set(li))
ans = 0
for i in num:
    count = li.count(i) 
    ans += count
    if count >= i:
        ans -= i

print(ans)

### FIXED CODE ###

n = int(input())
li = list(map(int, input().split()))
num = list(set(li))
num.sort()
ans = 0
sums = 0
for index, i in enumerate(num):
    if i > n - sums:
        ans += n-sums
        break
    count = li.count(i) 
    ans += count
    if count >= i:
        ans -= i
    sums += count
print(ans)
### BUGGY CODE ###

n = int(input())
arr = list(map(int,input().split()))
prod  = 1
valid = 0
for i in arr:
    prod*=i

if(prod>1e18):   print(-1)
else:   print(prod)

### FIXED CODE ###

def main():
    n = int(input())
    arr = list(map(int,input().split()))
    if 0 in arr:
        return 0
    prod = 1
    max1 = 10**18
    for i in arr:
        prod*=i
        if(prod==0):
            return 0
        if(prod>max1):
            return -1
    return prod

print(main())
### BUGGY CODE ###

S=input()
s=int(S[len(S)-1])
a=[0,s]
for i in range(1,len(S)):
  s+=int(S[len(S)-i-1])*10**i
  a.append(s%2019)
q={}
for i in range(len(a)):
  if a[i] in q:
    q[a[i]]+=1
  else:
    q[a[i]]=1
c=0

for value in q.values():
  c+=value*(value-1)/2
print(int(c))

### FIXED CODE ###

from collections import defaultdict
S=input()
D=defaultdict(int)
D[0]=1
n=0
i=0
a=[0]*len(S)
b=1
for s in S[::-1]:
  n+=int(s)*b
  a[i]=n%2019
  i+=1
  b=(b*10)%2019


for i in range(len(a)):
  D[a[i]]+=1

ans=sum([i*(i-1)//2 for i in D.values()])
print(ans)
### BUGGY CODE ###

import sys

def main():
    ans = input()
    n = int(input())
    vec = 1
    for i in range(n):
        q = sys.stdin.readline().rstrip()
        if q == "1":
            vec *= -1
        else:
            if ((q[2] == "1") and (vec == 1)) or ((q[2] == "2") and (vec == -1)):
                ans = q[4] + ans
            else:
                ans += q[4]
    if vec == -1:
        ans = ans[::-1]
    print(ans)

if __name__ == '__main__':
    main()

### FIXED CODE ###

from collections import deque

def main():
    ans = deque(input())
    n = int(input())
    vec = 1
    for i in range(n):
        q = input()
        if q == "1":
            vec *= -1
        else:
            _,o,s = q.split()
            if ((o == "1") and (vec == 1)) or ((o == "2") and (vec == -1)):
                ans.appendleft(s)
            else:
                ans.append(s)
    if vec == -1:
        ans.reverse()
    ans = ''.join(ans)
    print(ans)

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

#!/usr/bin/env python3
import sys


def solve(N: int, Q: int, S: str, l: "List[int]", r: "List[int]"):
    ans = []
    carray = [0] * N
    for i in range(1,N):
        if(S[i] == 'C' and S[i-1] == 'A'):
            carray[i:] = map(lambda x:x+1, carray[i:])
    
    # print(carray)
    for i in range(Q):
        # print(carray[l[i]-1:r[i]])
        ans.append(carray[r[i]-1]-carray[l[i]-1])

    for i in range(Q):
        print(ans[i])
    return


# Generated by 1.1.3 https://github.com/kyuridenamida/atcoder-tools  (tips: You use the default template now. You can remove this line by using your custom template)
def main():
    def iterate_tokens():
        for line in sys.stdin:
            for word in line.split():
                yield word
    tokens = iterate_tokens()
    N = int(next(tokens))  # type: int
    Q = int(next(tokens))  # type: int
    S = next(tokens)  # type: str
    l = [int()] * (Q)  # type: "List[int]" 
    r = [int()] * (Q)  # type: "List[int]" 
    for i in range(Q):
        l[i] = int(next(tokens))
        r[i] = int(next(tokens))
    solve(N, Q, S, l, r)

if __name__ == '__main__':
    main()


### FIXED CODE ###

#!/usr/bin/env python3
import sys


def solve(N: int, Q: int, S: str, l: "List[int]", r: "List[int]"):
    ans = []
    carray = [0] * N
    for i in range(1,N):
        if(S[i-1:i+1] == 'AC'):
            carray[i] = carray[i-1]+1 
            # carray[i:] = map(lambda x:x+1, carray[i:])
        else:
            carray[i] = carray[i-1]
    # print(carray)
    for i in range(Q):
        # print(carray[l[i]-1:r[i]])
        t = carray[r[i]-1] - carray[l[i]-1]
        ans.append(t)

    for i in range(Q):
        print(ans[i])
    return


# Generated by 1.1.3 https://github.com/kyuridenamida/atcoder-tools  (tips: You use the default template now. You can remove this line by using your custom template)
def main():
    def iterate_tokens():
        for line in sys.stdin:
            for word in line.split():
                yield word
    tokens = iterate_tokens()
    N = int(next(tokens))  # type: int
    Q = int(next(tokens))  # type: int
    S = next(tokens)  # type: str
    l = [int()] * (Q)  # type: "List[int]" 
    r = [int()] * (Q)  # type: "List[int]" 
    for i in range(Q):
        l[i] = int(next(tokens))
        r[i] = int(next(tokens))
    solve(N, Q, S, l, r)

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

# coding: utf-8
N, x = map(int, input().split())
a = list(map(int, input().split()))
ans = 0
for i in range(N - 1): # 貪欲法で解く
    while a[i] + a[i + 1] > x and a[i + 1] >= 1: # 左の組から順に、組の右側から食べていく
        ans += 1
        a[i + 1] -= 1
    while a[i] + a[i + 1] > x: # それでも足りないなら組の左側も食べる
        ans += 1
        a[i] -= 1
print(ans)

### FIXED CODE ###

# coding: utf-8
N, x = map(int, input().split())
a = list(map(int, input().split()))
ans = 0
for i in range(N - 1): # 貪欲法で解く
    if a[i] + a[i + 1] > x and a[i + 1] >= 1: # 左の組から順に、組の右側から食べていく
        ans += min(a[i] + a[i + 1] - x, a[i + 1])
        a[i + 1] -= min(a[i] + a[i + 1] - x, a[i + 1])
    if a[i] + a[i + 1] > x: # それでも足りないなら組の左側も食べる
        ans += a[i] + a[i + 1] - x
        a[i] -= a[i] + a[i + 1] - x
print(ans)
### BUGGY CODE ###

n, k = map(int, input().split())
s=0
for i in range(k, n+2):
	# print("sum(range(n+2-i, n+2))")
	# print(sum(range(n+2-i, n+2)))
	# print("sum(range(i+1))")
	# print(sum(range(i+1)))
	s += sum(range(n+2-i, n+2)) - sum(range(i+1)) +1 
print(s)

### FIXED CODE ###

n, k = map(int, input().split())
import numpy
res = numpy.cumsum(range(n+2))
s=0
for i in range(k, n+2):
	s += (res[n+1] - res[n+1-i] - res[i] +1)%(10**9 +7)
print(s%(10**9 +7))
### BUGGY CODE ###

S = list(input())
T = list(input())

# 例abcdefg...のように文字列が1対1の矢印関係の場合は、
# どのような場合でも置き換えできる。問題は同じ文字が複数現れる場合

# S上に同じ文字sのある場所には
# T上にも同じ文字tがなくてはならない
# つまり、同じ値になっているインデックスの集合を取れば
# 全部同じになっているはず

# 文字種ごとにインデックスの集合を求める
indexS = {}
for i, s in enumerate(S):
    if s in indexS:
        indexS[s].append(i)
    else:
        indexS[s] = [i]
indexT = {}
for i, t in enumerate(T):
    if t in indexT:
        indexT[t].append(i)
    else:
        indexT[t] = [i]
# 先頭の文字から、インデックスの集合が等しいかチェック
for s, t in zip(S, T):
    i_s = indexS[s]
    i_t = indexT[t]
    if i_s != i_t:
        print("No")
        break
else:
    print("Yes")


### FIXED CODE ###

S = input()
T = input()

# 例abcdefg...のように文字列が1対1の矢印関係の場合は、
# どのような場合でも置き換えできる。問題は同じ文字が複数現れる場合

# S上に同じ文字sのある場所には
# T上にも同じ文字tがなくてはならない
# つまり、同じ値になっているインデックスの集合を取れば
# 全部同じになっているはず

# 文字種ごとにインデックスの集合を求める
ns = len(S)
indexS = {}
for i in range(ns):
    s = S[i]
    if s in indexS:
        indexS[s].append(i)
    else:
        indexS[s] = [i]
indexT = {}
for i in range(ns):
    t = T[i]
    if t in indexT:
        indexT[t].append(i)
    else:
        indexT[t] = [i]
# 先頭の文字から、インデックスの集合が等しいかチェック
for i in range(ns):
    s = S[i]
    t = T[i]
    i_s = len(indexS[s])
    i_t = len(indexT[t])
    if i_s != i_t:
        print("No")
        break
else:
    print("Yes")
### BUGGY CODE ###

import math

def prime_factors(n):
	i = 2
	factors = []
	while i * i <= n:
		if n % i:
			i += 1
		else:
			n //= i
			factors.append(i)
	if n > 1:
		factors.append(n)
	return factors
	

a = input().split()
a = [int(i) for i in a]

num = dict()
for i in prime_factors(a[1]):
	if i not in num:
		num[i] = 1
	else:
		num[i] += 1
		
ans = 1
for j in num.values():
	ans *=  (math.factorial(j + a[0] - 1)//(math.factorial(a[0] - 1)* math.factorial(j)))
	ans %= (10**9 + 7)
	
print(ans)

### FIXED CODE ###

import math
 
def prime_factors(n):
	i = 2
	factors = []
	while i * i <= n:
		if n % i:
			i += 1
		else:
			n //= i
			factors.append(i)
	if n > 1:
		factors.append(n)
	return factors
	

def egcd(a, b):
	if a == 0:
		return (b, 0, 1)
	else:
		g, y, x = egcd(b % a, a)
		return (g, x - (b // a) * y, y)
		
def modinv(a, m):
	g, x, y = egcd(a, m)
	if g != 1:
		raise Exception('modular inverse does not exist')
	else:
		return x % m
		
def factorial(n):
	num = 1
	while n >= 1:
		num = (num * n) % 1000000007
		n = n - 1
	return num
	   
a = input().split()
a = [int(i) for i in a]
 
num = dict()
for i in prime_factors(a[1]):
	if i not in num:
		num[i] = 1
	else:
		num[i] += 1
		
ans = 1
for j in num.values():
	ans *= factorial(j + a[0] - 1)
	ans %= (10**9 + 7)
	inv = modinv((factorial(a[0] - 1)* factorial(j)), 1000000007)
	ans *= inv
	ans %= (10**9 + 7)
	
print(ans)
### BUGGY CODE ###

n,m=map(int,input().split())
s=input()
for i in range(m):
  a,b=map(int,input().split())
  count=0
  tmp=s[a-1:b]
  for j in range(len(tmp)-1):
    if tmp[j]=='A' and tmp[j+1]=='C':
      count+=1
  print(count)
  count=0

### FIXED CODE ###

n,m=map(int,input().split())
s=input()
ans=[0]*n
count=0
for i in range(n-1):
  ans[i]=count
  if s[i]=='A' and s[i+1]=='C':
    count+=1
ans[n-1]=count
for i in range(m):
  a,b=map(int,input().split())
  print(ans[b-1]-ans[a-1])
### BUGGY CODE ###

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

cnt = 0
flg = True
while flg and cnt < k:
    res = [0 for _ in range(n)]
    for i in range(n):
        if i - a[i] < 0:
            res[0] += 1
        else:
            res[i-a[i]] += 1

        if i + a[i] + 1 < n:
            res[i+a[i]+1] -= 1

    for i in range(n-1):
        res[i+1] += res[i] 

    if all(res[i] == n for i in range(n)):
        flg = False

    cnt += 1
    a = res.copy()

print(*a)

### FIXED CODE ###

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

cnt = 0
flg = True
while flg and cnt < k:
    res = [0 for _ in range(n)]
    for i in range(n):
        if i - a[i] < 0:
            res[0] += 1
        else:
            res[i-a[i]] += 1

        if i + a[i] + 1 < n:
            res[i+a[i]+1] -= 1

    for i in range(n-1):
        res[i+1] += res[i] 

    if all(res[i] == n for i in range(n)):
        flg = False

    cnt += 1
    a = res.copy()

print(*a)
### BUGGY CODE ###

# -*- coding: utf-8 -*-
from itertools import combinations
def inpl(): return map(int, input().split())

N = int(input())
S = [list(input()) for _ in range(N)]
ans = 0

for k in range(N):
    for i, j in combinations(range(N), 2):
        if S[i][(j+k)%N] != S[j][(i+k)%N]:
            break
    else:
        ans += N

print(ans)

### FIXED CODE ###

# -*- coding: utf-8 -*-
from itertools import combinations
def inpl(): return map(int, input().split())

N = int(input())
S = [list(input()) for _ in range(N)]
ans = 0

for k in range(N):
    for i, j in combinations(range(N), 2):
        if S[i][(j+k)%N] != S[j][(i+k)%N]:
            break
    else:
        ans += N

print(ans)