Harryxun/stf_run huggingface dataset:
def make_divisors(n):

    divisors = []
    for i in range(1, int(n**0.5)+1):
        if n % i == 0:
            divisors.append(i)
            if i != n // i:
                divisors.append(n//i)

    # divisors.sort()
    return divisors


def primes(n):
    ass = []
    is_prime = [True] * (n + 1)
    is_prime[0] = False
    is_prime[1] = False
    for i in range(2, int(n**0.5) + 1):
        if not is_prime[i]:
            continue
        for j in range(i * 2, n + 1, i):
            is_prime[j] = False
    for i in range(len(is_prime)):
        if is_prime[i]:
            ass.append(i)
    return ass


A,B = map(int,input().split())

A_s = set(make_divisors(A))
B_s = set(make_divisors(B))

divs = A_s&B_s

max_div = max(list(divs))

prime_N=set(primes(max_div))

ans = divs&prime_N
ans = list(ans)

print(len(ans)+1)

### FIXED CODE ###

def prime_factor(n):
    ass = []
    for i in range(2,int(n**0.5)+1):
        while n % i==0:
            ass.append(i)
            n = n//i
    if n != 1:
        ass.append(n)
    return ass

A,B = map(int,input().split())

A_s = set(prime_factor(A))
B_s = set(prime_factor(B))

from fractions import gcd

print(len(A_s&B_s)+1)
import math
a = int(input())
b = a / 2
d = 0
c = 1
b = math.ceil(b)
for i in range(b):
    c = c * a
    a = a - 2
c = str(c)
for e in range(len(c)):
    if len(c) - c[e] == "0":
        d = d + 1
    else:
        break
print(d)

### FIXED CODE ###

a = int(input())
b = int(input())
if a == 1 :
    if b == 2 :
        print("3")
    if b == 3 :
        print("2")
if a == 2 :
    if b == 1 :
        print("3")
    if b == 3 :
        print("1")
if a == 3 :
    if b == 2 :
        print("1")
    if b == 1 :
        print("2")
import bisect
import numpy as np

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

a = sorted(a)

for i in range(m):
    a[n-1] = a[n-1] // 2
    temp = a.pop()
    bisect.insort_left(a, temp)
print(sum(a))

### FIXED CODE ###

import heapq

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

ans = []
for i in range(n):
    heapq.heappush(ans, -a[i])

for i in range(m):
    temp = -heapq.heappop(ans)
    heapq.heappush(ans, -(temp//2))

print(-sum(ans))
import math

def lcm(x, y):
    return (x * y) // math.gcd(x, y)

A, B, C, D = map(int, input().split())
B += 1

X1 = A - ((A // C) + (A // D) - (A // lcm(C, D)))
X2 = B - ((B // C) + (B // D) - (B // lcm(C, D)))
print(X2 - X1)

### FIXED CODE ###

def gcd(a, b):
    while b:
        a, b = b, a % b
    return a

def lcm(x, y):
    return (x * y) // gcd(x, y)

A, B, C, D = map(int, input().split())
A -= 1

X1 = A - ((A // C) + (A // D) - (A // lcm(C, D)))
X2 = B - ((B // C) + (B // D) - (B // lcm(C, D)))
print(X2 - X1)
import itertools
import math
n=int(input())
l=[list(map(int,input().split())) for _ in range(n)]
ans=0
it=list(itertools.permutations(range(8),8))
for i in it:
    tmpx=l[i[0]][0]
    tmpy=l[i[0]][1]
    tmp=0
    for j in i[1:]:
        tmp+=math.sqrt((tmpx-l[j][0])**2+(tmpy-l[j][1])**2)
        tmpx=l[j][0]
        tmpy=l[j][1]
    ans+=tmp
print(ans/math.factorial(n))

### FIXED CODE ###

import itertools
import math
n=int(input())
l=[list(map(int,input().split())) for _ in range(n)]
ans=0
it=list(itertools.permutations(range(n),n))
for i in it:
    tmpx=l[i[0]][0]
    tmpy=l[i[0]][1]
    tmp=0
    for j in i[1:]:
        tmp+=math.sqrt((tmpx-l[j][0])**2+(tmpy-l[j][1])**2)
        tmpx=l[j][0]
        tmpy=l[j][1]
    ans+=tmp
print(ans/math.factorial(n))
import sys

sys.setrecursionlimit(10 ** 5 + 10)


def input(): return sys.stdin.readline().strip()


def resolve():
    def make_divisors(n):
        divisors = []
        divisors2 = []
        for i in range(1, int(n ** 0.5) + 1):
            if n % i == 0:
                divisors.append(i)
                divisors2.append(n // i)
                divisors.append(-i)
                divisors2.append(n // -i)

                if i != n // i:  # 平方数の場合n**0.5を1つだけにしてる
                    divisors.append(n // i)
                    divisors2.append(i)
                    divisors.append(-(n // i))
                    divisors2.append(-i)

        # divisors.sort() # ソートしたけりゃして
        return [divisors, divisors2]

    def main():
        X = int(input())

        d, d2 = make_divisors(X)[0], make_divisors(X)[1]
        i = 0
        b = 0
        while True:
            a = d[i] + b
            val = a ** 4 + a ** 3 * b + a ** 2 * b ** 2 + a * b ** 3 + b ** 4

            if val == d2[i]:
                return [a, b]
            if val > abs(d2[i]):
                i += 1
                b = 0
                if i >= len(d):
                    break
            else:
                b += 1

        i = 0
        b = -1
        while True:
            a = d[i] + b
            val = a ** 4 + a ** 3 * b + a ** 2 * b ** 2 + a * b ** 3 + b ** 4
            if val == d2[i]:
                return [a, b]
            if val > abs(d2[i]):
                i += 1
                b = -1
                if i >= len(d):
                    break
            else:
                b -= 1

    print(*main())


resolve()

### FIXED CODE ###

import sys
sys.setrecursionlimit(10 ** 5 + 10)
def input(): return sys.stdin.readline().strip()

def resolve():

    def main():
        X=int(input())
        for a in range(-200,200):
            for b in range(-200,200):
                if pow(a,5)-pow(b,5)==X:
                    return [a,b]
    print(*main())

resolve()
from functools import reduce

def gcdd(x, y):
    for i in range(min(x, y), 1, -1):
        if x % i == 0 and y % i == 0:
            return i

def gcd(numbers):
    return reduce(gcdd, numbers)

n = int(input())
a = [int(i) for i in input().split()]
b = []
for i in range(n):
    d = a[:i] + a[i+1:]
    b.append(gcd(d))
print(max(b))

### FIXED CODE ###

def gcd(x, y):
    if x * y == 0:
        return (x+y)
    x, y = max(x, y), min(x, y)
    while y > 0:
        r = x % y
        x, y = y, r
    return x

n = int(input())
a = [int(i) for i in input().split()]
l_list = [0]
r_list = [0]
for i in range(n):
    l = gcd(l_list[i], a[i])
    l_list.append(l)
    r = gcd(r_list[-1], a[-i-1])
    r_list.append(r)
r_list = list(reversed(r_list))
r_list = r_list[1:]
l_list = l_list[:n]
c_list = []
for i in range(n):
    c_list.append(gcd(l_list[i], r_list[i]))
print(max(c_list))
N, K = map(int, input().split())
H = input().split()
total=0

if(K==len(H)):
  print(0)
else:
  temp = sorted(H)
  while K>0:
    temp=temp[:-1]
    K-=1
  for i in temp:
    total+=i
  print(total)
  

### FIXED CODE ###

N, K = map(int, input().split())
Hs = map(int,input().split())
print(sum(sorted(Hs, reverse=True)[K::]))
a, b, c, d = map(int, input())
print(max(a * b, c * d))

### FIXED CODE ###

a, b, c, d = map(int, input().split())
print(max(a * b, c * d))
H, W = map(int, input().split())
maze = [input() for i in range(H)]


delete_candidate = []
for i in range(H):
        flag = False
        for j in maze[i]:
                if j == "#":
                        flag = True
                        continue
        if flag == False:
                delete_candidate.append(i)

for i in delete_candidate:
        del maze[i]

delete_candidate = []
for j in range(W):
        flag = False
        for i in range(len(maze)):
                if maze[i][j] == "#":
                        flag = True
                        continue
        if flag == False:
                delete_candidate.append(j)


for i in range(len(maze)):
        for j in range(len(maze[i])):  
                if j in delete_candidate:
                        continue
                print(maze[i][j], end = "")
        print("")




### FIXED CODE ###

H, W = map(int, input().split())

A = [input() for i in range(H)]

row = []
column = []

for i in range(len(A)):
        for j in range(len(A[i])):
                if A[i][j] == "#":
                        row.append(i)
                        break

for i in range(W):
        for j in range(len(A)):
                if A[j][i] == "#":
                        column.append(i)
                        break


for i in range(len(A)):
        flag = True
        for j in range(len(A[i])):
                if i in row:
                        if j in column:
                                print(A[i][j], end = "")
                else:
                        flag = False
                        continue
        if flag:
                print("")
from math import pi
r = froat(input())
s = pi * r * r
l = 2 * pi * r
print(s, l)

### FIXED CODE ###

from math import pi
r = float(input())
s = pi * r * r
l = 2 * pi * r
print(s, l)
s=input()
k=int(input())
l=list(s)
for i in range(len(s)):
 if 26-(ord(s[i])-ord("a"))<=k:k-=26-(ord(s[i])-ord("a"));l[i]="a"
print("".join(l[:-1]+list(chr((ord(l[-1])-97+k)%26+97))))

### FIXED CODE ###

n = int(input())
ab = [list(map(int, input().split())) for i in range(n)]
cd = [list(map(int, input().split())) for i in range(n)]
ab.sort()
cd.sort()
ans = 0
for i in cd:
    c, d = i
    flag = False
    cur = 0
    difference = float("inf")
    for i in range(n):
        a, b = ab[i]
        if a < c and b < d:
            if difference > d - b:
                difference = min(difference, d - b)
                flag = True
                cur = i
    if flag:
        ab[cur] = [float("inf"), float("inf")]
        ans += 1
print(ans)
a,b,c,d = map(int,input().split())
e,f = a*b,c*d
if e<f: print(f)
  else: print(e)

### FIXED CODE ###

a,b,c,d = map(int,input().split())
e,f = a*b,c*d
if e<f: print(f)
else: print(e)
x,y=map(int,input().split())

count=0
xlist=[x,-x,x,-x]
ylist=[y,y,-y,-y]
numlist=[0,1,1,2]
ans=10**9+7

for i in range(4):
    if xlist[i] <= ylist(i):
        ans=min(ans,numlist[i]+ylist[i]-xlist[i])

print(ans)


### FIXED CODE ###

x,y=map(int,input().split())

count=0
xlist=[x,-x,x,-x]
ylist=[y,y,-y,-y]
numlist=[0,1,1,2]
ans=10**9+7

for i in range(4):
    if xlist[i] <= ylist[i]:
        ans=min(ans,numlist[i]+ylist[i]-xlist[i])

print(ans)
s = input()
n = int(input())
ans=[]
a = "ABCDEFGHIJKLMNOPQRSTUWVXYZABCDEFGHIJKLMNOPQRSTUWVXYZ"
a_list=[]
for j in a:
	a_list.append(j)
for i in range (len(s)):
	ans.append(a_list[a_list.index(s[i])+n])
print("".join(ans))

### FIXED CODE ###


n = int(input())
s = input()
ans=[]
a = "ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz"
a_list=[]
for j in a:
	a_list.append(j)
for i in range (len(s)):
	ans.append(a_list[a_list.index(s[i])+n].upper())
print("".join(ans))
while N!=0:
  if N%10==7:
    print("Yes")
    return
  N=N//10
print("No")
return

### FIXED CODE ###

def main():
  N=int(input())
  while N!=0:
    if N%10==7:
      print("Yes")
      return
    N=N//10
  print("No")
  return
main()
import numpy as np

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

x=[]
for i in range(n):
    x.append(np.array(list(map(int,input().split()))))

ans=0
for i in range(n-1):
    for j in range(i+1,n):
        if np.linalg.norm(x[i]-x[j]) % 1 == 0:
#            print(np.linalg.norm(x[i]-x[j]))
            ans+=1

print(ans)

### FIXED CODE ###

import math

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

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

ans=0
for i in range(n-1):
    for j in range(i+1,n):
        nor = math.sqrt(sum([(x[i][k]-x[j][k])**2 for k in range(d)]))
        
        if nor.is_integer():
#            print(nor)
            ans+=1

print(ans)
import sys
input = sys.stdin.readline
import bisect
n,m = map(int,input().split())
A = list(map(int,input().split()))
A.sort()
#print(A)
minA = A[0]
Query = []
for _ in range(m):
    b,c = map(int,input().split())
    if c > minA:
        Query.append([b,c])
Query = sorted(Query, key=lambda x:(x[1], x[0]), reverse=True)

ans = 0
for b,c in Query:
    #A.sort()
    if A[0] >= c:
        break
    else:
        index = min(bisect.bisect_left(A,c),b)
        ans += c * index
        A = A[index:]
    #print(A)
print(ans + sum(A))

### FIXED CODE ###

import sys
input = sys.stdin.readline
import bisect
n,m = map(int,input().split())
A = list(map(int,input().split()))
A.sort()

minA = A[0]
Query = []
for _ in range(m):
    b,c = map(int,input().split())
    if c > minA:
        Query.append([b,c])
Query = sorted(Query, key=lambda x:(x[1], x[0]), reverse=True)

ans = 0
index = 0
for b,c in Query:
    if index >= n:
        break
    #print("----")
    cnt = 0
    Flag = True
    while Flag:
        #print(A,b,c,index)
        if A[index] < c:
            A[index] = c
            cnt += 1
            index += 1
            if (cnt >= b) or (index >= n):
                Flag = False
        else:
            Flag = False
    '''
    #A.sort()
    if A[0] >= c:
        break
    else:
        index = min(bisect.bisect_left(A,c),b)
        if index > len(A):
            ans += c * len(A)
            break
        else:
            ans += c * index
            A = A[index:]
    print(A)
    '''
print(sum(A))
def ii():return int(input())
def iim():return map(int,input().split())
def iil():return list(map(int,input().split()))

import numpy as np

n,m,k = iim()
a = iil()
cuma = np.cumsum(a)
b = iil()
cumb = np.cumsum(b)

best = m
ans = 0
for i in range(n):
    if cuma[i] > k:
        break
    while b[best] > k-a[i]:
        best -= 1
    ans = max(ans,best+i)
print(ans)


### FIXED CODE ###

def ii():return int(input())
def iim():return map(int,input().split())
def iil():return list(map(int,input().split()))

def binary_search(lis, item):
    low = 0
    high = len(lis) - 1
    inRange = high

    if lis[0] > item:
        return 0

    while low <= high:
        mid = (low + high) //2
        guess1 = lis[mid]
        if mid < inRange:
            guess2 = lis[mid+1]
        else:
            if lis[mid] <= item:
                return len(lis)
            else:
                return len(lis)-1
        if guess1 <= item < guess2:
            return mid+1
        if guess1 > item:
            high = mid-1
        else:
            low = mid+1
    return 0

n,m,k = iim()
a = iil()
cuma = []
if a[0] <= k:
    cuma.append(a[0])
    for i in range(n-1):
        num = cuma[-1]+a[i+1]
        if num > k:
            break
        else:
            cuma.append(num)
#print(len(cuma))
b = iil()
cumb = []
if b[0] <= k:
    cumb.append(b[0])
    for i in range(m-1):
        num = cumb[-1]+b[i+1]
        if num > k:
            break
        else:
            cumb.append(num)
#print(len(cumb))

ans = len(cumb)
#print(ans)
if len(cuma) > 0:
    cnt = len(cuma)
    for i,item in enumerate(cuma[::-1]):
        tmp = cnt-i
        res = k-item
        plus = binary_search(cumb,res)
        ans = max(ans,tmp+plus)
print(ans)
#print(ans)

#print(cuma)
#print(cumb)
a=[]
for i in range(5):
    a.append(int(input()))

zako=9
for i in range(5):
    b=a[i]%10
    if b<=zako and b!=0:
        zako=b
        memory=i
x=a.pop(memory)

lst=[]

for i in range(4):
    c=a[i]//10
    c=c*10
    if a[i]%10!=0:
        c+=10
    lst.append(c)

print(x+sum(lst))

### FIXED CODE ###

a=[]
for i in range(5):
    a.append(int(input()))

zako=9
switch=0
for i in range(5):
    b=a[i]%10
    if b<=zako and b!=0:
        zako=b
        memory=i
        switch=1

if switch==0:
    memory=1
x=a.pop(memory)

lst=[]

for i in range(4):
    c=a[i]//10
    c=c*10
    if a[i]%10!=0:
        c+=10
    lst.append(c)

print(x+sum(lst))
# -*- coding: utf-8 -*-
import bisect
import heapq
import math
import random
import sys
from collections import Counter, defaultdict
from decimal import ROUND_CEILING, ROUND_HALF_UP, Decimal
from functools import lru_cache, reduce
from itertools import combinations, combinations_with_replacement, product

sys.setrecursionlimit(100000)


def read_int():
    return int(input())


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


def read_float():
    return float(input())


def read_float_n():
    return list(map(float, input().split()))


def read_str():
    return input()


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


def error_print(*args):
    print(*args, file=sys.stderr)


def mt(f):
    import time

    def wrap(*args, **kwargs):
        s = time.time()
        ret = f(*args, **kwargs)
        e = time.time()

        error_print(e - s, 'sec')
        return ret

    return wrap


@lru_cache(maxsize=None)
def r(N):
    # print(N)
    if N == 1:
        return 1
    elif N == 0:
        return 0
    a = 1
    b = 6**int(math.floor(math.log(N, 6)))
    c = 9**int(math.floor(math.log(N, 9)))
    if c > 0:
        ac = r(N - c) + 1
    else:
        ac = sys.maxsize
    if b > 0:
        ab = r(N - b) + 1
    else:
        ab = sys.maxsize
    aa = r(N - a) + 1
    return min(aa, ab, ac)


@mt
def slv(N):
    return r(N)


def main():
    N = read_int()
    print(slv(N))


if __name__ == '__main__':
    main()


### FIXED CODE ###

# -*- coding: utf-8 -*-
import bisect
import heapq
import math
import random
import sys
from collections import Counter, defaultdict
from decimal import ROUND_CEILING, ROUND_HALF_UP, Decimal
from functools import lru_cache, reduce
from itertools import combinations, combinations_with_replacement, product

sys.setrecursionlimit(50000)


def read_int():
    return int(input())


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


def read_float():
    return float(input())


def read_float_n():
    return list(map(float, input().split()))


def read_str():
    return input()


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


def error_print(*args):
    print(*args, file=sys.stderr)


def mt(f):
    import time

    def wrap(*args, **kwargs):
        s = time.time()
        ret = f(*args, **kwargs)
        e = time.time()

        error_print(e - s, 'sec')
        return ret

    return wrap


@lru_cache(maxsize=None)
def r(N):
    if N == 0:
        return 0

    c = 1
    while True:
        if c * 9 <= N:
            c *= 9
        else:
            break
    b = 1
    while True:
        if b * 6 <= N:
            b *= 6
        else:
            break
    if c >= 9:
        ac = r(N - c) + 1
    else:
        ac = sys.maxsize

    if b >= 6:
        ab = r(N - b) + 1
    else:
        ab = sys.maxsize

    return min(N, ab, ac)


@mt
def slv(N):
    return r(N)


def main():

    N = read_int()
    print(slv(N))


if __name__ == '__main__':
    main()
N, K = map(int, input().split())

if K == 1:
    print(0)

else:
    shou, amari_1 = divmod(N, abs(N-K))
    N_min_1 = N - (shou * abs(N-K))
    N_min_2 = abs(N_min_1 - abs(N-K))
    print(min(N_min_1, N_min_2))

### FIXED CODE ###


N, K = map(int, input().split())
amari=N%K

print(min(amari,abs(amari-K)))
def main():
  s=0
  S=input()
  N=len(S)
  for i in range(N//2):
    if S[i]!=S[N-1-i]:
      S[N-1-i]=S[i]
      s+=1
  print(s)
main()

### FIXED CODE ###

def main():
  S=input()
  s=0
  N=len(S)
  for i in range(N//2):
    if S[i]!=S[N-1-i]:
      s+=1
  print(s)
main()
n = int(input())

a_end = 0
b_start = 0
a_b = 0
cnt = 0

for _ in range(n):
    s = input()
    cnt += s.count("AB")
    if s[0] == "B" and s[-1] == "A":
        a_b += 1
        continue
    if s[0] == "B":
        b_start += 1
    if s[-1] == "A":
        a_end += 1

if a_end == 0 and b_start == 0:
    tmp = max(a_b - 1, 0)
else:
    tmp = min(a_end + b_start) + a_b
print(cnt + tmp)

### FIXED CODE ###

n = int(input())

a_end = 0
b_start = 0
a_b = 0
cnt = 0

for _ in range(n):
    s = input()
    cnt += s.count("AB")
    if s[0] == "B" and s[-1] == "A":
        a_b += 1
        continue
    if s[0] == "B":
        b_start += 1
    if s[-1] == "A":
        a_end += 1

if a_end == 0 and b_start == 0:
    tmp = max(a_b - 1, 0)
else:
    tmp = min(a_end,  b_start) + a_b
print(cnt + tmp)
n = int(input())
s = str(input())
l = []
c = 0
if s.count("I") < s.count("D"):
    print(0)
else:
    for i in range(len(s)):
        if s[i] == "I":
            c += 1
        elif s[i] == "D":
            c -= 1
        l.append(c)
print(max(l))

### FIXED CODE ###

n = int(input())
s = str(input())
l = []
c = 0
for i in range(len(s)):
    if s[i] == "I":
        c += 1
    elif s[i] == "D":
        c -= 1
    l.append(c)
print(max(max(l),0))
input = input().split()
N = int(input[0])
S = input[1]
 
R = 0
B = 0
h = 'No'
 
for i in N:
  if S[i] == 'R':
    R += 1
  else:
    B += 1
 
if R > B:
  h = 'Yes'
 
print(h)

### FIXED CODE ###

input1 = input()
N = int(input1)
input2 = input()
S = list(input2)
 
R = 0
B = 0
h = 'No'
 
for i in range(N):
  if S[i] == 'R':
    R += 1
  else:
    B += 1
  
if R > B:
  h = 'Yes'

print(h)
while x > 0:
    z = x
    x = y % x
    y = z
print(y)

### FIXED CODE ###

x, y = sorted([int(i) for i in input().split()])
while x > 0:
    z = x
    x = y % x
    y = z
    
print(y)
n = input()
print("Yes" if n[0]=n[1]=n[2]=n[3] or n[0]=n[1]=n[2] or n[0]=n[2]=n[3] or n[0]=n[1]=n[3] else "No")

### FIXED CODE ###

n = input()
print("Yes" if n[0]==n[1]==n[2]==n[3] or n[0]==n[1]==n[2] or n[1]==n[2]==n[3] else "No")
a,b,c,d = map(int, input().split())
print(max(0,min(b,d)-max(a,c))

### FIXED CODE ###

a,b,c,d = map(int, input().split())
print(max(0,min(b,d)-max(a,c)))
operation = {"North": (1, 5, 2, 3, 0, 4),
             "East": (3, 1, 0, 5, 4, 2),
             "West": (2, 1, 5, 0, 4, 3),
             "South": (4, 0, 2, 3, 5, 1),
             "Right": (0, 2, 4, 1, 3, 5),
             "Left": (0, 3, 1, 4, 2, 5)}

while True:
    n = int(input())
    if n == 0:
        break
    dice = [i+1 for i in range(6)]
    ans = 1
    for _ in range(n):
        indices = operation[input()]
        dice = [dice[i] for i in indices]
        ans += dice[0]
    print(ans)



### FIXED CODE ###

operation = {"North": (1, 5, 2, 3, 0, 4),
             "East": (3, 1, 0, 5, 4, 2),
             "West": (2, 1, 5, 0, 4, 3),
             "South": (4, 0, 2, 3, 5, 1),
             "Right": (0, 2, 4, 1, 3, 5),
             "Left": (0, 3, 1, 4, 2, 5)}

while True:
    n = int(input())
    if n == 0:
        break
    dice = [i+1 for i in range(6)]
    ans = 1
    for _ in range(n):
        indices = operation[input().strip()]
        dice = [dice[i] for i in indices]
        ans += dice[0]
    print(ans)
N = int(input())
S = input().strip()
S += "aaaa"

def tree(N,s,index):
  if N <= index:
      if len(s) > 0:
          return 1
      else:
          return 0

  if S[index] in s:
      return tree(N,s, index + 1)
  else:
      return tree(N,s, index + 1) + tree(N,s + S[index], index + 1)


print(tree(N,"",0) % 1000000007)




### FIXED CODE ###

N = int(input())
S = input()

words = {}

for s in S:
    if s in words.keys():
        words[s] += 1
    else:
        words[s] = 2

res = 1
for k in words.keys():
    res *= words[k]

print((res - 1) % 1000000007)
a,b=map(int,input().split())
r=a//(2*b+1)
r+=1 if a%(2*b+1)>0
print(r)

### FIXED CODE ###

a,b=map(int,input().split())
r=a//(2*b+1)
r+=1 if a%(2*b+1)>0 else 0
print(r)
N, M = map(int, input().split())

a = [int(input()) for i in range(M)]
dp = [0] * (N + 1)
dp[0] = 0
if 1 in a:
    dp[1] = 0
    dp[2] = 1
else:
    if 2 in a:
        dp[1] = 1
        dp[2] = 0
    else:
        dp[1] = 1
        dp[2] = 2
for i in range(3,N+1):
    if i in a:
        dp[i] = 0
    else:
        dp[i] = (dp[i-1] + dp[i-2]) % 1000000007

print(dp[N])

### FIXED CODE ###

N, M = map(int, input().split())
a = set(int(input()) for i in range(M))

dp = [0] * (N + 1)
dp[0] = 1

for i in range(1,N+1):
    if i in a:
        dp[i] = 0
        continue
    dp[i] = (dp[i-1] + dp[i-2]) % 1000000007

print(dp[N])
import math
def naiseki(x1,y1,x2,y2,x3,y3,x4,y4):
    if ((x2-x1)*(y4-y3)-(y2-y1)*(x4-x3)) == 0:
        print("YES")
    else:
        print("NO")
a = int(input())
f=[]
for i in range(a):
    f.append(map(float,raw_input().split()))
for g in f:
    try:
        x1=g[0]
        y1=g[1]
        x2=g[2]
        y2=g[3]
        x3=g[4]
        y3=g[5]
        x4=g[6]
        y4=g[7]
        naiseki(x1,y1,x2,y2,x3,y3,x4,y4)
    except:
        print("NO")

### FIXED CODE ###

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