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

import math
import numpy as np

K = int(input())
sum = 0
ijkrange = np.arange(1, K+1)

for i in ijkrange:
    for j in ijkrange:
        for l in ijkrange:
            sum += math.gcd(i, math.gcd(j, l))

print(sum)

### FIXED CODE ###

import math

K = int(input())
sum = 0

for i in range(1, K+1):
    for j in range(1, K+1):
        for l in range(1, K+1):
            sum += math.gcd(i, math.gcd(j, l))

print(sum)
### BUGGY CODE ###

h,w,k=map(int,input().split())
maze=[input()for i in range(h)]
for i in range(h):
    for j in range(w):
        if maze[i][j]=="S":x,y=i,j;break
    else:
        continue
    break
l=[[700000,700000]for i in range(h*w)]
l[w*x+y]=[0,0]
from collections import deque
dq=deque([(x,y)])
#pop/append/(append,pop)_left/in/len/count/[]/index/rotate()(右へnずらす)
while len(dq):
    a,b=dq.popleft()
    for c,d in [(0,1),(0,-1),(1,0),(-1,0)]:
        if 0<=a+c<h and 0<=b+d<w:
            op,cl=l[w*a+b]
            if maze[a+c][b+d]=="#":cl+=1
            else:op+=1
            if -(-l[(a+c)*w+b+d][0]//k)-(-l[(a+c)*w+b+d][1]//k)>=-(-op//k)-(-cl//k):
                l[(a+c)*w+b+d]=[op,cl]
                dq.append((a+c,b+d))
ans=min(min((s+k)//k+(d+k-1)//k for s,d in l[0:w]),min((s+k)//k+(d+k-1)//k for s,d in l[-w:]),min((s+k)//k+(d+k-1)//k for s,d in l[0::w]),min((s+k)//k+(d+k-1)//k for s,d in l[w-1::w]))
print(ans)


### FIXED CODE ###


h,w,k=map(int,input().split())
maze=[]

for i in range(h):
    maze.append(input())
    for j in range(w):
        if maze[i][j]=="S":x,y=i,j
    
ans=float("INF")
l=[[float("INF")]*w for i in range(h)]
l[x][y]=0
from collections import deque
dq=deque([(x,y)])
#pop/append/(append,pop)_left/in/len/count/[]/index/rotate()(右へnずらす)
p={(x,y)}
while len(dq):
    nx,ny=dq.popleft()
    for a,s in [(0,1),(0,-1),(1,0),(-1,0)]:
        if 0<=a+nx<h and 0<=ny+s<w and l[a+nx][s+ny]==float("INf")and maze[a+nx][s+ny]==".":
            l[a+nx][ny+s]=l[nx][ny]+1
            if l[a+nx][ny+s]<=k:p.add((a+nx,s+ny))
            if l[a+nx][ny+s]<k:dq.append((a+nx,s+ny))
ans=float("INf")

for x,y in p:
    ans=min(ans,(min(x,y,h-1-x,w-1-y)+k-1)//k+1)
print(ans)
### BUGGY CODE ###

from collections import defaultdict
N = int(input())
ans = 0
for i in range(N + 1):
  if i % 2 == 0:
    continue
  t, j, dic, r = i, 2, defaultdict(int), 1
  while True:
    while t % j == 0:
      t /= j
      dic[j] += 1
    if j * j > i:
      break
  if t > 1:
    dic[t] += 1
  for key in dic:
    r *= dic[key] + 1
  if r == 8:
    ans += 1
print(ans)

### FIXED CODE ###

from collections import defaultdict
N = int(input())
ans = 0
for i in range(N + 1):
  if i % 2 == 0:
    continue
  t, j, dic, r = i, 2, defaultdict(int), 1
  while True:
    while t % j == 0:
      t /= j
      dic[j] += 1
    j += 1
    if j * j > i:
      break
  if t > 1:
    dic[t] += 1
  for key in dic:
    r *= dic[key] + 1
  if r == 8:
    ans += 1
print(ans)
### BUGGY CODE ###

a,b,k = map(int,input().split())
for _ in range(k):
  if a > 0:
    a -= 1
  elif b > 0:
    b -= 1

print(a,b)

### FIXED CODE ###

a,b,k = map(int,input().split())

if k >= a:
  k -= a
  a = 0
else:
  a -= k
  k = 0

if k >= b:
  b = 0
else:
  b -= k

print(a,b)
### BUGGY CODE ###

x, k, d = map(int, input().split())
if x < 0:
    x *= -1
cnt = 0
while x > 0 and cnt < k:
    x -= d
    cnt += 1
if abs(x) < x+d:
    x += d
    cnt -= 1
    x -= d * ((k-cnt)%2)
else:
    x += d * ((k-cnt)%2)
print(abs(x))

### FIXED CODE ###

x, k, d = map(int, input().split())
if x < 0:
    x *= -1
cnt = min(k, x//d+1)
x -= cnt * d
if abs(x) < x+d:
    x += d
    cnt -= 1
    x -= d * ((k-cnt)%2)
else:
    x += d * ((k-cnt)%2)
print(abs(x))
### BUGGY CODE ###

from sys import stdin
def S(): return stdin.readline().rstrip()
def I(): return int(stdin.readline().rstrip())

n = I()
s = list(S())

ans = 0
for i in range(n-2):
    color = {s[i]}
    for j in range(i+1,n-1):
        if not s[j] in color:
            color.add(s[j])
            for k in range(j+1,n):
                if not s[k] in color:
                    if k-j != j-i:
                        ans += 1
            color = {s[i]}

print(ans)

### FIXED CODE ###

from sys import stdin
def S(): return stdin.readline().rstrip()
def I(): return int(stdin.readline().rstrip())
 
n = I()
s = list(S())

r = s.count('R')
g = s.count('G')
b = s.count('B')
 
ans = r*g*b
for i in range(n-1):
    for j in range(1,n):
        if i-j<0 or n<=i+j:
            break
        else:
            if s[i-j]!=s[i] and s[i]!=s[i+j] and s[i-j]!=s[i+j]:
                ans-=1
 
print(ans)
### BUGGY CODE ###

import numpy as np
N=int(input())
X=list(map(int,input().split()))
for i in range(N):
    Z=X[:i]+X[i+1:]
    print(int(np.median(Z)))

### FIXED CODE ###

N=int(input())
X=list(map(int,input().split()))
Y=sorted(X)
for i in range(N):
    if X[i]<=Y[N//2-1]:
        print(Y[N//2])
    else:
        print(Y[N//2-1])
### BUGGY CODE ###

def search(s1, s2):
    len1 = len(s1)
    len2 = len(s2)
    for i in range(len1):
        if i + len2 > len1:
            break

        for j in range(len2):
            if s1[i+j] != s2[j]:
                break
        else:
            yield i


def run():
    s1 = input()
    s2 = input()
    for idx in search(s1, s2):
        print(idx)


if __name__ == '__main__':
    run()



### FIXED CODE ###

class RKSearch:
    shift = 40
    size = 33554393

    def __init__(self, s1, s2):
        self.haystack = self._encode(s1)
        self.needle = self._encode(s2)

    def find(self):
        m, n = len(self.haystack), len(self.needle)
        if m < n:
            return

        h1 = self._hash(self.haystack, n)
        h2 = self._hash(self.needle, n)
        dm = self.shift**(n-1) % self.size

        for i in range(m-n+1):
            if h1 == h2:
                yield i
            if i+n < m:
                h1 = ((h1 - self.haystack[i]*dm) * self.shift
                      + self.haystack[i+n]) % self.size

    def _hash(self, s, length):
        h = 0
        for i in range(length):
            h = (h * self.shift + s[i]) % self.size

        return h

    def _encode(cls, s):
        basea = int.from_bytes(b'a', 'little')
        based = int.from_bytes(b'0', 'little')
        bs = []
        for c in s:
            if c.isdigit():
                bs.append(int.from_bytes(c.encode('utf8'), 'little')-based+27)
            else:
                bs.append(int.from_bytes(c.encode('utf8'), 'little')-basea)

        return bs


def run():
    s1 = input()
    s2 = input()
    rk = RKSearch(s1, s2)
    for i in rk.find():
        print(i)


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

#!/usr/bin/env python3

import sys
import math
from bisect import bisect_right as br
from bisect import bisect_left as bl
sys.setrecursionlimit(2147483647)
from heapq import heappush, heappop,heappushpop
from collections import defaultdict
from itertools import accumulate
from collections import Counter
from collections import deque
from operator import itemgetter
from itertools import permutations
mod = 10**9 + 7
inf = float('inf')
def I(): return int(sys.stdin.readline())
def LI(): return list(map(int,sys.stdin.readline().split()))

from fractions import gcd

def lcm(a,b):
    return a*b//gcd(a,b)

n = I()
a = LI()
l = 1
for i in a:
    l = lcm(l,i)

ans = 0
for i in a:
    ans += l*pow(i,mod-2,mod)
    ans %= mod
print(ans)


### FIXED CODE ###

#!/usr/bin/env python3

import sys
import math
from bisect import bisect_right as br
from bisect import bisect_left as bl
sys.setrecursionlimit(2147483647)
from heapq import heappush, heappop,heappushpop
from collections import defaultdict
from itertools import accumulate
from collections import Counter
from collections import deque
from operator import itemgetter
from itertools import permutations
mod = 10**9 + 7
inf = float('inf')
def I(): return int(sys.stdin.readline())
def LI(): return list(map(int,sys.stdin.readline().split()))

def lcm(a):
    from fractions import gcd
    x = a[0]
    for i in range(1, len(a)):
        x = (x * a[i]) // gcd(x, a[i])
    return x

n = I()
a = LI()
l = lcm(a)
ans = 0
l %= mod
for i in a:
    ans += l*pow(i,mod-2,mod)
    ans %= mod
print(ans)
### BUGGY CODE ###

lim = 10**9+7
n=int(input())
A=[int(i) for i in input().split()]
binary = [bin(i)[2:].zfill(60)[::-1] for i in A]

ans=0
for i in range(60):
    l = [s[i] for s in binary]
    #print(i,l.count("0") * l.count("1"))
    ans +=  l.count("0") * l.count("1") * 2**i 
print(ans % lim)

### FIXED CODE ###

lim = 10**9+7
n=int(input())
A=[int(i) for i in input().split()]
binary = [bin(i)[2:].zfill(60)[::-1] for i in A]

ans=0
for i in range(60):
    l = [s[i] for s in binary]
    #print(i,l.count("0") * l.count("1"))
    ans = (ans+ ((l.count("0") * l.count("1"))% lim * 2**i )% lim)% lim
print(ans % lim)
### BUGGY CODE ###

n,m=map(int,input().split())
a=list(map(int,input().split()))
a.sort()
for i in range(m):
    temp=a.pop()
    temp=temp//2
    a.append(temp)
    a.sort()
print(sum(a))

### FIXED CODE ###

from heapq import heapify,heappop,heappush

n,m=map(int,input().split())
a=[-int(a) for a in input().split()]
heapify(a)
for _ in range(m):
    heappush(a,heappop(a)/2)
print(-sum(int(x) for x in a))
### BUGGY CODE ###


N= int(input())
A=[[int(i), ind] for ind, i in enumerate(input().split())]

ans=""
A=sorted(A)
for i in range(N):
    ans=ans+str(A[i][1]+1)+" "
print(ans[:-1])

### FIXED CODE ###


N= int(input())
A=[[int(i), ind] for ind, i in enumerate(input().split())]

A=sorted(A)
for i in range(N-1):
    print(A[i][1]+1, end=" ")
print(A[N-1][1]+1)
### BUGGY CODE ###

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

a = [[0 for i in range(509)] for j in range(509)]
sum = [[0 for i in range(509)] for j in range(509)]

for i in range(M):
  p, q = map(int, input().split())
  a[p][q] += 1

for i in range(1,501):
  for j in range(i,501):
    sum[i][j] = sum[i][j-1] + a[i][j]

for i in range(Q):
  p, q = map(int, input().split())
  ans = 0
  for j in range(p,q+1):
    ans += sum[j][q] - sum[j][p-1]
  print(ans)


### FIXED CODE ###

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

a = [[0 for i in range(509)] for j in range(509)]
sum = [[0 for i in range(509)] for j in range(509)]
ans = [[0 for i in range(509)] for j in range(509)]

for i in range(M):
  p, q = map(int, input().split())
  a[p][q] += 1

for i in range(1,N+1):
  for j in range(i,N+1):
    sum[i][j] = sum[i][j-1] + a[i][j]

for i in range(1,N+1):
  for j in range(i,N+1):
    for k in range(i,j+1):
      ans[i][j] += sum[k][j] - sum[k][i-1]

for i in range(Q):
  p, q = map(int, input().split())
  #ans = 0
  #for j in range(p,q+1):
  #  ans += sum[j][q] - sum[j][p-1]
  print(ans[p][q])
### BUGGY CODE ###

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

l = [0]*n

for i in range(n):
    for j in range(i+1,n):
        if abs(i-j) == a[i]+a[j]:
            l[i] += 1

print(sum(l))

### FIXED CODE ###

from collections import defaultdict
n = int(input())
a = [0] + [int(x) for x in input().split()]

d1 = defaultdict(int)
d2 = defaultdict(int)

for i in range(1,n+1):
    d1[i-a[i]] += 1
    d2[i+a[i]] += 1

ans = 0

for k in d1.keys():
    ans += d1[k]*d2[k]
print(ans)
### BUGGY CODE ###

import math
from functools import reduce

def gcd(*numbers):
    return reduce(math.gcd, numbers)

K = int(input())

total = 0
for a in range(1, K+1):
    for b in range(1, K+1):
        for c in range(1, K+1):
            total += gcd(a, b, c)

print(total)

### FIXED CODE ###

import math
from functools import reduce

def gcd(*numbers):
    return reduce(math.gcd, numbers)

K = int(input())

total = 0
for a in range(1, K+1):
    for b in range(1, K+1):
        for c in range(1, K+1):
            total += gcd(a, b, c)

print(total)
### BUGGY CODE ###

n, k = map(int, input().split())
p_ls = list(map(int, input().split()))
ave_ls = []
'''
if n == 1:
    ave_ls.append(p_ls[0]*0.5+1)
elif n == 2:
    ave_ls.append((p_ls[0]+p_ls[1])*0.5+1)
else:
    for i in range(n-2):
        ave_ls.append((p_ls[i]+p_ls[i+1]+p_ls[i+2])*0.5+1)
'''
for i in range(n-k+1):
    now_ave = 0
    for j in range(k):
        now_ave+=p_ls[i+j]
    ave_ls.append(now_ave*0.5+0.5*k)
print(max(ave_ls))


### FIXED CODE ###

n, k = map(int, input().split())
p_ls = list(map(int, input().split()))
ave_ls = []
'''
if n == 1:
    ave_ls.append(p_ls[0]*0.5+1)
elif n == 2:
    ave_ls.append((p_ls[0]+p_ls[1])*0.5+1)
else:
    for i in range(n-2):
        ave_ls.append((p_ls[i]+p_ls[i+1]+p_ls[i+2])*0.5+1)
'''
now_ave = 0
for i in range(k):
    now_ave +=p_ls[i]
ave_ls.append(now_ave*0.5+0.5*k)
for i in range(n-k):
    #print(now_ave)
    now_ave -=p_ls[i]
    now_ave+=p_ls[i+k]
    #print("p_ls[i]",p_ls[i],"p_ls[i+k-1]",p_ls[i+k-1])
    ave_ls.append(now_ave*0.5+0.5*k)
print(max(ave_ls))
### BUGGY CODE ###

k, s = map(int, input().split())
count = 0
for i in range(k+1):
    for j in range(k+1):
        for m in range(k+1):
            if i+j+m == s:
                count += 1
print(count)

### FIXED CODE ###

k, s = map(int, input().split())
count = 0
for x in range(k+1):
    for y in range(k+1):
        z = s-x-y
        if 0 <= z <=k:
            count += 1
print(count)
### BUGGY CODE ###

a,b = list(map(int, input().split()))
ans = 0

if 3*a < b:
  print(ans)
elif 3*a == b:
  print(1)
elif 3*a > b:
  for i in range(a+1):
    if i > b:
      continue
    elif i == b:
      ans += 1
      continue
    elif i < b:
      if i+2*a < b:
        continue
      elif i+2*a == b:
        ans += 1
        continue
      elif i+2*a > b:
        for j in range(a+1):
          if i+j > b:
            continue
          elif i+j == b:
            ans += 1
            continue
          elif i+j < b:
            if i+j+a < b:
              continue
            elif i+j+a == b:
              ans += 1
              continue
            elif i+j+a > b:
              for k in range(a+1):
                if i+j+k > b:
                  break
                elif i+j+k == b:
                  ans += 1
              
  print(ans)

### FIXED CODE ###

k,s = list(map(int, input().split()))
ans = 0
for x in range(k+1):
  mx = min(k, s-x)
  mn = max(0, s-x-k)
  ans += max(0, mx-mn+1)
print(ans)
### BUGGY CODE ###

a, b= map(int, input().split())
def W(x, y):
    w = []
    for i in range(1, min([x+1, y+1])):
        if x%i == 0 and y%i == 0:
            w.append(i)
        else:
            continue
    return w
ans = 0
for i in range(2, len(W(a, b))):
    for j in range(1, i-1):
        if len(W(W(a, b)[i], W(a, b)[j])) != 1:
            ans += 1
            break
        else:
            continue

print(len(W(a, b))-ans)

### FIXED CODE ###

import math
from collections import defaultdict


def trial_division(n):
    factor = defaultdict(int)
    tmp = int(math.sqrt(n)) + 1
    for num in range(2, tmp):
        while n % num == 0:
            n //= num
            factor[num] += 1
    factor[n] += 1
    if 1 not in factor.keys():
        factor[1] += 1
    return factor


a, b = map(int, input().split())
ans = 0
for i in trial_division(a).keys():
    if i in trial_division(b).keys():
        ans += 1
print(ans)
### BUGGY CODE ###

import sys
input=sys.stdin.readline
h,w,d=map(int,input().split())
nums=[[0 for s in range(w)] for i in range(h)]
gya=[[0,0] for i in range(h*w)]
for i in range(h):
    nums[i]=list(map(int,input().split()))
    for j in range(w):
        gya[nums[i][j]-1]=[i,j]
q=int(input())
for i in range(q):
    l,r=map(int,input().split())
    m=(r-l)//d
    ans=0
    for j in range(1,m+1):
        ans+=abs(gya[l+j*d-1][0]-gya[l+d*(j-1)-1][0])+abs(gya[l+j*d-1][1]-gya[l+d*(j-1)-1][1])
    print(ans)


### FIXED CODE ###

h,w,d=map(int,input().split())
nums=[[0 for s in range(w)] for i in range(h)]
gya=[[0,0] for i in range(h*w)]
for i in range(h):
    nums[i]=list(map(int,input().split()))
    for j in range(w):
        gya[nums[i][j]-1]=[i,j]
cost=[0]*(h*w+d)
for i in range(d):
    s=i
    while s<h*w-d:
        cost[s+d]=cost[s]+abs(gya[s+d][0]-gya[s][0])+abs(gya[s+d][1]-gya[s][1])
        s+=d
q=int(input())
for i in range(q):
    l,r=map(int,input().split())
    print(cost[r-1]-cost[l-1])
### BUGGY CODE ###

import heapq
N,M = (int(x) for x in input().split())
pref = [[] for _ in range(N)]
ans = [0] * M
prefnumber = 0
for i in range(M):
    P,Y = (int(x) for x in input().split())
    pref[P-1].append((Y,i))
for p in pref:
    prefnumber += 1
    count = 1
    while p:
        heapq.heapify(p)
        temp = heapq.heappop(p)
        ans[temp[1]] = str(prefnumber).zfill(6) + str(count).zfill(6)
        count += 1
for a in ans:
    print(a)

### FIXED CODE ###

import sys
input = sys.stdin.readline

import heapq
N,M = (int(x) for x in input().split())
pref = [[] for _ in range(N)]
ans = [0] * M
prefnumber = 0
for i in range(M):
    P,Y = (int(x) for x in input().split())
    pref[P-1].append((Y,i))
for p in pref:
    prefnumber += 1
    count = 1
    if p:
        heapq.heapify(p)
        while p:
            temp = heapq.heappop(p)
            ans[temp[1]] = ''.join([str(prefnumber).zfill(6),str(count).zfill(6)])
            count += 1
print('\n'.join(ans))
### BUGGY CODE ###

import itertools
N = int(input().strip())
A = list(map(int,input().strip().split(' ')))
Z = [[0 for m in range(N+1)] for n in range(N) ]
result = 0

for k in range(N):
        Z[0][k] = A[k]
        if Z[0][k] == 0:
                result = result+1

for i,j in itertools.combinations_with_replacement(range(1,N),2):
        Z[i][j] = Z[i-1][j-1]+Z[0][j]
        if Z[i][j]  ==0:
                result = result+1
print(result)

### FIXED CODE ###

import collections
N = int(input().strip())
A = list(map(int, input().strip().split(' ')))
C = [0 for j in range(N)]
C[0] = A[0]
for i in range(1,N):
        C[i] = C[i-1] + A[i]
C.sort()

CC = collections.Counter(C)

result = CC[0]
for k in CC.values():
    if k > 1:
        result = result + k*(k-1)/2

print(int(result))
### BUGGY CODE ###

n=int(input())
a=list(map(int,input().split()))
ua=list(set(a))
total=sum([sum(range(a.count(x))) for x in ua])
for i in range(n):
    print(total-a.count(a[i])+1)

### FIXED CODE ###

n=int(input())
a=list(map(int,input().split()))
d={}
for x in a:
    if d.get(x) is None:
        d[x]=1
        continue
    d[x]+=1
total=0
for v in d.values():
    total+=(v-1)*v//2
for x in a:
    print(total-d[x]+1)
### BUGGY CODE ###

import copy

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

for i in range(k):
    b = [0] * (n + 1)
    for j in range(n):
        d = a[j]
        l = max(0, j - d)
        r = min(j + d + 1, n)
        b[l] += 1
        b[r] -= 1

    for j in range(n):
        b[j + 1] += b[j]
    b = b[:-1]

    if b == a:
        break
    a = copy.deepcopy(b)
print(*a, sep=' ')

### FIXED CODE ###

import copy

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

for i in range(k):
    b = [0] * (n + 1)
    for j in range(n):
        d = a[j]
        l = max(0, j - d)
        r = min(j + d + 1, n)
        b[l] += 1
        b[r] -= 1

    for j in range(n):
        b[j + 1] += b[j]
    b = b[:-1]

    if b == a:
        break
    a = copy.deepcopy(b)
print(*a, sep=' ')
### BUGGY CODE ###

n,W = [int(e) for e in input().split()]
v = list([0]*n)
w = list([0]*n)

for i in range(n):
    w[i],v[i] = [int(e) for e in input().split()]

dp = [[0]*(W+1) for _ in range(n+1)]

for i in range(n):
    for j in range(W+1):
        if w[i] <= j:
            dp[i+1][j] = max(dp[i][j-w[i]] + v[i],dp[i][j])
        else:
            dp[i+1][j] = dp[i][j]

print(dp[n][W])

### FIXED CODE ###

import numpy as np
N, W = map(int, input().split())
w, v = [], []
for i in range(N):
    a, b = map(int, input().split())
    w += [a]
    v += [b]
 
DP = np.zeros(W+1, dtype=int)
# i 円以下で買える商品の最大価値
for i in range(N):
    DP[w[i]:] = np.maximum(DP[:-w[i]]+ v[i], DP[w[i]:])
print(DP[-1])
### BUGGY CODE ###

N = int(input())
A = [int(input()) for _ in range(N)]

num_count = [A.count(i) % 2 for i in set(A)]
        
print(sum(num_count))

### FIXED CODE ###

from collections import defaultdict

N = int(input())
A = defaultdict(int)

for _ in range(N):
    a = int(input())
    if A[a] == 1:
        A[a] = 0
    else:
        A[a] = 1
        
print(sum(A.values()))
### BUGGY CODE ###

# coding: utf-8
# Your code here!
A,B=map(int,input().split())
s=[]

for i in range(1,max(A,B)+1):#因数分解
    if A%i==0 and B%i==0:
        s.append(i)
        #print(i)
        for j in range(1,len(s)-1):
            if s[-1]%s[j]==0:
                #print(s[-1],s[j])
                s.pop(-1)
                break
s=list(set(s))
#print(s)
print(len(s))


### FIXED CODE ###

# coding: utf-8
# Your code here!
import fractions

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

def yaku(num):
    temp=[]
    for i in range(2,-int(-num**0.5//1)+1):
        if num%i==0:
            temp.append(i)
            temp.append(num//i)
    temp=list(set(temp))
    if num!=2:
        temp.append(num)
    temp.sort()
    return temp

koyaku=fractions.gcd(A,B)

cand=yaku(min(A,B))
#print(cand)

if cand[0]==1:
    print(1)
    exit()

count=0

for i in cand:
    judge=True
    while koyaku%i==0:
        koyaku//=i
        if judge==True:
            count+=1
            judge=False
    if koyaku==1:
        break
print(count+1)
### BUGGY CODE ###

N, M = map(int, input().split())
a = []
for i in range(M):
    a.append(int(input()))

memo = {
    0: 1
}
queue = [0]
counter = 0
def step(height, n):
    if height + n not in memo:
        memo[height + n] = memo[height]
    else:
        memo[height + n] += memo[height]
    if height + n not in queue:
        queue.append(height + n)


while counter < len(queue):
    # print(memo, queue, counter)
    item = queue[counter]
    counter += 1
    if item + 1 not in a and item + 1 <= N:
        step(item, 1)
    if item + 2 not in a and item + 2 <= N:
        step(item, 2)

if N not in memo:
    print(0)
else:
    print(memo[N] % 1000000007)

### FIXED CODE ###

N, M = map(int, input().split())
a = {}
for i in range(M):
    a[int(input())] = 1

memo = {
    0: 1
}
queue = [0]
counter = 0
def step(height, n):
    if height + n not in memo:
        memo[height + n] = memo[height]
        queue.append(height + n)
    else:
        memo[height + n] += memo[height]


while counter < len(queue):
    # print(memo, queue, counter)
    item = queue[counter]
    counter += 1
    if item + 1 not in a and item + 1 <= N:
        step(item, 1)
    if item + 2 not in a and item + 2 <= N:
        step(item, 2)

if N not in memo:
    print(0)
else:
    print(memo[N] % 1000000007)
### BUGGY CODE ###

from collections import deque

INF = float('inf')

dr = (-1, 0, 0, 1)
dc = (0, -1, 1, 0)

H, W = map(int, input().split())
s = [input() for _ in range(H)]
p = [[INF for _ in range(W)] for _ in range(H)]

ans = -1

dq = deque()
dq.append((0, 0, 1))
while dq:
    r, c, d = dq.pop()
    if r == H - 1 and c == W - 1:
        ans = sum(s[r].count('.') for r in range(H)) - d
        break

    for i in range(4):
        nr = r + dr[i]
        nc = c + dc[i]
        nd = d + 1
        if not (0 <= nr < H and 0 <= nc < W): continue
        if s[nr][nc] == '#': continue
        if p[nr][nc] < nd: continue
        dq.append((nr, nc, nd))

print(ans)


### FIXED CODE ###

from collections import deque

INF = float('inf')

dr = (-1, 0, 0, 1)
dc = (0, -1, 1, 0)

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

s = []
total_white_count = 0
for _ in range(H):
    t = input()
    s.append(t)
    total_white_count += t.count('.')
p = [[INF for _ in range(W)] for _ in range(H)]

ans = -1

dq = deque()
dq.append((0, 0, 1))
while dq:
    r, c, d = dq.popleft() # 直した

    nd = d + 1
    for i in range(4):
        nr = r + dr[i]
        nc = c + dc[i]
        if not (0 <= nr < H and 0 <= nc < W): continue
        if s[nr][nc] == '#' : continue
        if p[nr][nc] <= nd: continue
        p[nr][nc] = nd
        if nr == H - 1 and nc == W - 1:
            ans = total_white_count - nd
            break
        dq.append((nr, nc, nd))
    else:
        continue
    break

print(ans)