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

N,M = map(int,input().split())
import time
start_t = time.time()
path = [[] for _ in range(N*3+3)]
for _ in range(M):
    u,v = map(int,input().split())
    path[u].append(v+N)
    path[u+N].append(v+N+N)
    path[u+N+N].append(v)

S,T = map(int,input().split())
import queue

q = queue.Queue()
vis = [-1 for _ in range(N*3+3)]
def bfs():
    while not q.empty():
        now,cnt = q.get()
        #print(now,T,cnt,path[now],q)
        vis[now] = cnt
        if now == T: 
            return cnt
        [q.put((x,cnt+1)) for x in path[now] if vis[x] == -1]
        #for x in path[now]:
         #   if vis[x] == -1:
          #      q.append((x,cnt+1))
    return -3
vis[S] = 1
q.put([S,0])
print(bfs()//3)




### FIXED CODE ###

N,M = map(int,input().split())
import time
start_t = time.time()
path = [[] for _ in range(N+3)]
for _ in range(M):
    u,v = map(int,input().split())
    path[u].append(v)

S,T = map(int,input().split())
import collections

q = collections.deque()
vis = [[-1 for _ in range(3)] for _ in range(N+3)]
vis[S][0] = 1
q.append([S,0])
while len(q):
    now,cnt = q.popleft()
    step = cnt % 3
    for x in path[now]:
        if vis[x][(step+1)%3] < 0:
            vis[x][(step+1)%3] = cnt
            q.append((x,cnt+1))

if vis[T][0] == -1:
    print(-1)
else:
    print(vis[T][0]//3+1)
### BUGGY CODE ###

n,k =map(int,input().split())
x1,x2,cnt =n,0,0
if n%k==0:
  print(0)
else:  
  while True:
    x2 = abs(x1-k)
    if min(x1,x2) ==x1:
      print(x1)
      break
    x1=x2

### FIXED CODE ###

n,k =map(int,input().split())
if n%k==0:
  print(0)
else:
  print(min(n%k,abs((n%k)-k)))
### BUGGY CODE ###

N = int(input())
x = list(map(int, input().split()))
t = 1
for num in x:
    t = t * num

if (t > 10 ** 18): 
    print(-1)
else:
    print(t)

### FIXED CODE ###

import sys
input = sys.stdin.readline
N = int(input())
x = sorted(list(map(int, input().split())))
t = 1
for num in x:
    t = t * num
    if t > 10 ** 18:
        print(-1)
        sys.exit()

if (t > 10 ** 18): 
    print(-1)
else:
    print(t)
### BUGGY CODE ###

s = input()
datas = ['dream', 'dreamer', 'erase', 'eraser']

while True:
    flag = False
    for data in datas:
        if s[::-1].startswith(data[::-1]):
            s = s[:-len(data)]
            flag = True
            break
    if not flag:
        break
if len(s):
    print('NO')
else:
    print('YES')


### FIXED CODE ###

s = input()

while len(s) >= 5:
    if s[-5:] == 'dream':
        s = s[:-5]
        continue
    elif s[-7:] == 'dreamer':
        s = s[:-7]
        continue
    elif s[-5:] == 'erase':
        s = s[:-5]
        continue
    elif s[-6:] == 'eraser':
        s = s[:-6]
        continue
    else:
        break
if len(s):
    print('NO')
else:
    print('YES')
### BUGGY CODE ###

import bisect
N = int(input())
L = sorted(list(map(int,input().split())))
cnt = 0
for i in range(N-2):
    for j in range(i+1,N-1):
        a = L[i]+L[j]
        ind = bisect.bisect_left(L[j+1:],a)
        cnt += ind
print(cnt)

### FIXED CODE ###

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

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

for i in range(A,B+1,1):
  if i<A+K or i>B-K:
    print(i)

### FIXED CODE ###

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

for i in range(A,min([A+K+1,B+1]),1):
  if i<A+K:
    print(i)
    
for i in range(max([A+K, B-K-1]),B+1,1):
  if i>B-K:
    print(i)
### BUGGY CODE ###

price = [1, 5, 10, 50, 100, 500]

while True:
    values = list(map(int, input().split()))
    p, n = values[0], values[1:]
    ans = 1e100
    if p == 0:
        break

    p_sum = sum(map(lambda s: s[0] * s[1], zip(price, n)))

    for change in range(p_sum - p + 1):
        total = p + change
        pay = [0] * 6
        #for i in reversed(range(6)):
        #    if total >= price[i]:
        #        pay[i] = min(n[i], int(total / price[i]))
        #        total -= pay[i] * price[i]

        #if total > 0:
        #    break

        coins = sum(pay)

        _change = change
        for i in reversed(range(6)):
            if _change >= price[i]:
                coins += int(_change / price[i])
                _change %= price[i]

        ans = min(ans, coins)
    
    print(ans)

### FIXED CODE ###

price = [1, 5, 10, 50, 100, 500]

while True:
    values = list(map(int, input().split()))
    p, n = values[0], values[1:]
    ans = 1e100
    if p == 0:
        break

    p_sum = sum(map(lambda s: s[0] * s[1], zip(price, n)))

    for change in range(1000):
        total = p + change
        pay = [0] * 6
        for i in reversed(range(6)):
            if total >= price[i]:
                pay[i] = min(n[i], int(total / price[i]))
                total -= pay[i] * price[i]

        if total > 0:
            break

        coins = sum(pay)

        _change = change
        for i in reversed(range(6)):
            if _change >= price[i]:
                coins += int(_change / price[i])
                _change %= price[i]

        ans = min(ans, coins)

    print(ans)
### BUGGY CODE ###

from bisect import bisect_right, bisect_left

n = int(input())

a = sorted(list(map(int, input().split())))
b = list(map(int, input().split()))
c = sorted(list(map(int, input().split())))

i_list = []
j_list = []

for x in b:
  i = bisect_left(a, x)
  i_list.append(len(a[:i]))

for x in b:
  j = bisect_right(c, x)
  j_list.append(len(c[j:]))

ans = 0

for i, j in zip(i_list, j_list):
  ans += i*j

print(ans)

### FIXED CODE ###

from bisect import bisect_right, bisect_left

n = int(input())

a = sorted(list(map(int, input().split())))
b = list(map(int, input().split()))
c = sorted(list(map(int, input().split())))

ans = 0
for x in b:
  ans += bisect_left(a, x) * (n - bisect_right(c, x))

print(ans)
### BUGGY CODE ###

# bin/env/pypy3
import sys
import collections
import heapq
import math
n = int(sys.stdin.readline())
a = list(map(int,sys.stdin.readline().split()))
c = collections.Counter(a)
#print(n,a,c)
memo_f = {}
memo_c = {}
def combinations_count(n, r):
    s = str([n,r])
    if s in memo_c:
        return memo_c[s]
    if not n in memo_f: memo_f[n] = math.factorial(n)
    b = max(n - r,0)
    if not b in memo_f: memo_f[b] = math.factorial(b)
    if not r in memo_f: memo_f[r] = math.factorial(r)
    memo_c[s] = memo_f[n] // (memo_f[b] * memo_f[r])
    return memo_c[s]
for e in a:
    c[e] -= 1
    b = [combinations_count(v,2) for v in c.values() if v > 1]
    print(sum(b))
    c[e] += 1


### FIXED CODE ###

# bin/env/pypy3
import sys
import collections
n = int(sys.stdin.readline())
a = list(map(int,sys.stdin.readline().split()))
c = collections.Counter(a)
#print(n,a,c)
memo_e = {}
s = sum(v*(v-1)//2 for v in c.values() if v > 1)
for e in a:
    if not e in memo_e:
        #c[e] -= 1
        if 1 < c[e]:
            memo_e[e] = s - (c[e]*(c[e]-1)//2 - (c[e]-1)*(c[e]-2)//2)
        else:
            memo_e[e] = s
    print(memo_e[e])
### BUGGY CODE ###

n, y = map(int, input().split())
y /= 1000
ans = (-1, -1, -1)
flag = True
for i in range(int(y/10)+1):
    for j in range(int(y-10*i+1)):
        if 10*i+5*j+(n-i-j) == y and n-i-j>=0:
            ans = (i, j, n-i-j)
            flag = False
            break
    if not flag:
        break
print(*ans)

### FIXED CODE ###

N, Y = map(int, input().split())
l = []
flag = False
for i in range(N+1):
    for j in range(N-i+1):
        if 10000 * i + 5000 * j + 1000 * (N-i-j) == Y:
            l = [i, j, N-i-j]
            flag = True
        if flag:
            break
if flag:
    print(*l)
else:
    print(-1, -1, -1)
### BUGGY CODE ###

import math
from sys import stdin,stdout
#% 998244353
from heapq import heapify,heappop,heappush
import collections

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


for i in range(k):
    nw=[0]*n
    for x,d in enumerate(a):
        l=x-d-0.5
        r=x+d+0.5
        for p in range(n):
            if p>=l and p<=r:
                nw[p]+=1
    
    a[:]=nw

for i in a:
    print(i,end=" ")

### FIXED CODE ###

import math
from sys import stdin,stdout
#% 998244353
from heapq import heapify,heappop,heappush
import collections

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


for i in range(min(k,100)):
    #nw=[0]*n
    pr=[0]*n
    for x,d in enumerate(a):
        if d==0:
            pr[x]+=1
            if x!=n-1:
                pr[x+1]-=1
            continue
        l=math.floor(x-d)
        r=math.floor(x+d)
        l=max(0,l)
        r=min(n-1,r)
        pr[l]+=1
        if r!=n-1:
            pr[r+1]-=1
    
    for m in range(1,n):
        pr[m]+=pr[m-1]
    
    a[:]=pr


        

for i in a:
    print(i,end=" ")
### BUGGY CODE ###

def compute_patterns(n):
    memo = {}
    def compute(n):
        if n in memo:
            return memo[n]
        if n == 2:
            return 2
        if n <= 1:
            return 1
        ret = compute(n-1) + compute(n-2)
        memo[n] = ret
        return ret
    return compute(n)


def gen_patterns(c, h, w, k):
    if h == 1:
        if c == k:
            yield [(c-1, w-c)]
        elif c+1 == k:
            yield [(c-1, w-c-1)]
        elif c-1 == k:
            yield [(c-2, w-c)]
        else:
            yield None
    else:
        for p in gen_patterns(c, h-1, w, k):
            if p is None:
                yield None
            else:
                yield [(c-1, w-c)] + p
        if c != 1:
            for p in gen_patterns(c-1, h-1, w, k):
                if p is None:
                    yield None
                else:
                    yield [(c-2, w-c)] + p
        if c != w:
            for p in gen_patterns(c+1, h-1, w, k):
                if p is None:
                    yield None
                else:
                    yield [(c-1, w-c-1)] + p


def main():
    H, W, K = list(map(int, input().split(' ')))
    ret = 0
    for p in gen_patterns(1, H, W, K):
        if p is None:
            continue
        r = 1
        for i in range(len(p)):
            r *= compute_patterns(p[i][0])
            r %= 1000000007
            r *= compute_patterns(p[i][1])
            r %= 1000000007
        ret += r
    print(ret % 1000000007)



if __name__ == '__main__':
    main()

### FIXED CODE ###

def f(n):
    memo = {}
    def compute(n):
        if n in memo:
            return memo[n]
        if n == 2:
            return 2
        if n <= 1:
            return 1
        ret = compute(n-1) + compute(n-2)
        memo[n] = ret
        return ret
    return compute(n)


memo = {}

def gen_patterns(c, h, w, k):
    if (c, h) in memo:
        return memo[(c,h)]
    elif h == 1:
        if c == k:
            return f(c-1) * f(w-c) % 1000000007
        elif c+1 == k:
            return f(c-1)* f(w-c-1) % 1000000007
        elif c-1 == k:
            return f(c-2)*f(w-c) % 1000000007
        else:
            return 0
    else:
        ret = 0
        ret += f(c-1) * f(w-c) * gen_patterns(c,h-1,w,k)
        ret = ret % 1000000007
        if c != 1:
            ret += f(c-2)*f(w-c)*gen_patterns(c-1,h-1,w,k)
            ret = ret % 1000000007
        if c != w:
            ret += f(c-1)*f(w-c-1)*gen_patterns(c+1,h-1,w,k)
            ret = ret % 1000000007
        memo[(c,h)] = ret
        return ret


def main():
    H, W, K = list(map(int, input().split(' ')))
    print(gen_patterns(1, H, W, K))



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

import functools
import operator

# ĺĽĺ
n = int(input())
a_list = list(map(int, input().split()))

ans = functools.reduce(operator.mul, a_list)

if ans > 10 ** 18:
    ans = -1
else:
    pass
print(ans)


### FIXED CODE ###

import functools
import operator

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

if 0 in a_list:
    ans = 0
else:
    k = len(a_list) - a_list.count(1)
    # print(k)
    if k > 60:
        ans = -1
    else:
        ans = functools.reduce(operator.mul, a_list)
        if ans > 10 ** 18:
            ans = -1
        else:
            pass
print(ans)
### BUGGY CODE ###

s = input()
k = int(input())
def unit(s):
    """sの両端を外した状態でいくつ変えるか
    """
    count = 0
    prev = s[0]
    for c in s[1:]:
        if c==prev:
            count += 1
            prev = None
        else:
            prev = c
    return count
if len(s)==2:
    if s[0]==s[1]:
        print(k)
    else:
        print(0)
elif k==1:
    print(unit(s))
elif len(s)==1:
    print(k//2)
elif not s:
    print(0)
elif s[0]!=s[-1]:
    print(k * unit(s))
else:
    s0 = unit(s[1:-1])
    s1 = unit(s[1:])
    s2 = unit(s[:-1])
    s3 = unit(s)
    a = [0,0]
    a[0] = s3
    a[1] = s1
    for n in range(2,k+1):
        a[0], a[1] = min(a[1]+s3, a[0]+s2) + 1, min(a[1]+s0, a[0]+s1) + 1
    print(a[0])

### FIXED CODE ###

# AGC039A

import sys
input = lambda : sys.stdin.readline().rstrip()
sys.setrecursionlimit(max(1000, 10**9))


s = input()
k = int(input())

def sub(s):
    if not s:
        return 0
    # 連続する文字のカウント
    prev = s[0]
    counts = []
    count = 1
    for c in s[1:]:
        if c==prev:
            count += 1
        else:
            counts.append(count)
            count = 1
        prev = c
    if count>=2:
        counts.append(count)
    return sum([item//2 for item in counts])

if s[0]!=s[-1]:
    ans = k * sub(s)
elif all(s[0]==s[i] for i in range(1, len(s))):
    ans = (k * len(s)) // 2
else:
    i = 0
    while s[i]==s[-1]:
        i += 1
    ss = s[i:] + s[:i]
    ans = sub(s[:i]) + (k-1)*sub(ss) + sub(s[i:])
print(ans)
#     s1 = s[:-1] + "A"
#     c1 = sub(s1)
#     s2 = "B" + s[1:]
#     c2 = sub(s2)
### BUGGY CODE ###

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


for i in range(M):
    b, c = map(int, input().split())
    A += [c] * b

A.sort()
sum = 0
for i in range(N):
    sum += A.pop()
print(sum)

### FIXED CODE ###

from collections import defaultdict

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

d = defaultdict(int)
for i in range(N):
    d[A[i]] += 1
for i in range(M):
    b, c = map(int, input().split())
    d[c] += b
    

key = sorted(list(d.keys()))

num = N
i = 0
S = 0
while num > 0:
    i -= 1
    n = d[key[i]]
    num -= n
    S += key[i] * n
    
S += key[i] * num

print(S)
### BUGGY CODE ###

from time import time

t0 = time()
N, K = map(int, input().split())
A = list(map(int, input().split()))



def a_to_b(A):
    c = [0] * N
    for i, a in enumerate(A):
        lb = max(0, i - a)
        c[lb] += 1
        ub = i + a + 1
        if ub < N:
            c[ub] -= 1
    tmp = 0
    B = []
    for ci in c:
        tmp += ci
        B.append(tmp)
    return B


ans = A
for _ in range(K):
    if time() - t0 > 1.99:
        break
    ans = a_to_b(ans)

print(*ans)

### FIXED CODE ###

def a_to_b(A):
    c = [0] * N
    for i, a in enumerate(A):
        lb = max(0, i - a)
        c[lb] += 1
        ub = i + a + 1
        if ub < N:
            c[ub] -= 1
    tmp = 0
    B = []
    for ci in c:
        tmp += ci
        B.append(tmp)
    return B


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

ans = A
for _ in range(K):
    ans = a_to_b(ans)
    if sum(ans) == N ** 2:
        break

print(*ans)
### BUGGY CODE ###

def numset(a):
    li = []
    preS = - 1
    for i, v in enumerate(a):
        if v == "#":
            li.append(0)
            preS = i
        else:
            hoge = a[i:].find("#")
            if hoge > 0:
                li.append(hoge+i-(preS+1))
            else:
                li.append(len(a)-(preS+1))
    return li

H, W = map(int, input().split())
S = [input() for i in range(H)]
xs = [numset(i) for i in S]

xy = []
for i in range(W):
  stt = ''
  for j in range(H):
    stt += S[j][i]
  xy.append(numset(stt)) 
#print(xy)

ans = 0
for i in range(W):
  for j in range(H):
    aa = xs[j][i] + xy[i][j] -1
    if aa > ans:
      ans = aa
print(ans)

### FIXED CODE ###

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

# L, R, U, D方向の照らされるマス数を事前に計算
L = [[0] * W for _ in range(H)]
R = [[0] * W for _ in range(H)]
U = [[0] * W for _ in range(H)]
D = [[0] * W for _ in range(H)]

for i in range(H):
  for j in range(W):
    if S[i][j] == "#":
      L[i][j] = 0
    elif j == 0:
      L[i][j] = 1
    else:
      L[i][j] = L[i][j - 1] + 1

for i in range(H):
  for j in reversed(range(W)):
    if S[i][j] == "#":
      R[i][j] = 0
    elif j == W - 1:
      R[i][j] = 1
    else:
      R[i][j] = R[i][j + 1] + 1

for i in range(H):
  for j in range(W):
    if S[i][j] == "#":
      U[i][j] = 0
    elif i == 0:
      U[i][j] = 1
    else:
      U[i][j] = U[i - 1][j] + 1

for i in reversed(range(H)):
  for j in range(W):
    if S[i][j] == "#":
      D[i][j] = 0
    elif i == H - 1:
      D[i][j] = 1
    else:
      D[i][j] = D[i + 1][j] + 1

ans = 0
for i in range(H):
  for j in range(W):
    ans = max(ans, L[i][j] + R[i][j] + U[i][j] + D[i][j] - 3)

print(ans)
### BUGGY CODE ###

#!/usr/bin/env python3


# Generated by 1.1.6 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():
    # Failed to predict input format
    S = [c for c in input()]
    Q = int(input())
    direction = 1

    for _ in range(Q):
        query = input().split()
        t = int(query[0])

        if t == 1:
            direction = direction *  -1

        elif t == 2:
            f = int(query[1])
            c = query[2]
            if f == 1:
                # add to front
                if direction == 1:
                    S = [c] + S
                # add to back
                if direction == -1:
                    S = S + [c]
            elif f == 2:
                # add to back
                if direction == 1:
                    S = S + [c]
                # add to front
                if direction == -1:
                    S = [c] + S
    if direction == -1:
        S = S[::-1]

    print(''.join(S))
    pass

if __name__ == '__main__':
    main()

### FIXED CODE ###

#!/usr/bin/env python3
from collections import deque

# Generated by 1.1.6 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():
    # Failed to predict input format
    S = deque(input())
    Q = int(input())
    direction = 1

    for _ in range(Q):
        query = input().split()
        t = int(query[0])

        if t == 1:
            direction = direction *  -1

        elif t == 2:
            f = int(query[1])
            c = query[2]
            if f == 1:
                # add to front
                if direction == 1:
                   S.appendleft(c)
                # add to back
                if direction == -1:
                   S.append(c)
            elif f == 2:
                # add to back
                if direction == 1:
                   S.append(c)
                # add to front
                if direction == -1:
                   S.appendleft(c)
    S = list(S)
    if direction == -1:
        S = S[::-1]

    print(''.join(S))
    pass

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

n = int(input())

print(0)
sex = input()
if sex == "Vacant":
    exit(0)
axis = sex

left = 1
right = n

cnt = 0
while left + 1 < right:
    mid = (left + right) // 2
    print(mid)
    sex = input()
    if sex == "Vacant":
        exit(0)
    elif sex == axis:
        left = mid + 1
    else:
        right = mid
    cnt += 1
    if cnt >= 20:
        exit(0)

print(left)
exit(0)


### FIXED CODE ###

def val(num):
    print(num, flush=True)
    sex = input()
    if sex == "Vacant":
        exit(0)
    return 1 if sex == "Male" else 0


n = int(input())

l_sex = val(0)
r_sex = val(n - 1)

left = 0
right = n - 1

while left < right:
    mid = (left + right) // 2
    sex = val(mid)
    if (mid - left) % 2 == 0 and sex != l_sex:
        right = mid
        r_sex = sex
    elif (mid - left) % 2 == 1 and sex == l_sex:
        right = mid
        r_sex = sex
    else:
        left = mid
        l_sex = sex

print(left, flush=True)
exit(0)
### BUGGY CODE ###

import math

N, K = map(int, input().strip().split())

A_list = list(map(int, input().strip().split()))
F_list = list(map(int, input().strip().split()))

A_list.sort()
F_list.sort()
F_list.reverse()

def check(score):
	k = K
	for a, f in zip(A_list, F_list):
		if a * f > score:
			t = math.floor(score / f)
			k -= a - t
			if k < 0:
				return False
	return True

score_min = 0
score_max = (10 ** 6) * (10 ** 6) * (10 ** 5)
while score_min < score_max:
	score = (score_max + score_min) // 2
	if check(score):
		score_max = score
	else:
		score_min = score + 1

print(score_min)


### FIXED CODE ###

import math

N, K = map(int, input().strip().split())

A_list = list(map(int, input().strip().split()))
F_list = list(map(int, input().strip().split()))

A_list.sort()
F_list.sort()
F_list.reverse()

def check(score):
	k = K
	for a, f in zip(A_list, F_list):
		if a * f > score:
			t = math.floor(score / f)
			k -= a - t
			if k < 0:
				return False
	return True

score_min = 0
score_max = (10 ** 6) * (10 ** 6) * (10 ** 5)
while score_min < score_max:
	score = (score_max + score_min) // 2
	if check(score):
		score_max = score
	else:
		score_min = score + 1

print(score_min)
### BUGGY CODE ###

n=int(input())
l=list(map(int,input().split()))
ans=0
l.sort()
for i in range(n-2):
  for j in range(i+1,n-1):
    for k in range(j+1,n):
      if l[k]<l[i]+l[j]:
        ans+=1
print(ans)

### FIXED CODE ###

n = int(input())
l = list(map(int,input().split()))
l.sort()
ans = 0
for i in range(n-2):
    a = l[n-1-i]
    for j in range(i+1,n-1):
        b = l[n-1-j]
        #print(a,b)
        mn = a - b
        ng = -1
        ok = n-1-j
        if mn >= b:
            continue
        while abs(ok - ng) > 1:
            hf = (ng + ok) // 2
            #print(a,b,l[hf])
            if l[hf] > mn:
                ok = hf
            else:
                ng = hf
        ans += n-1-j - ok
        #print(a,b,l[ok],mn,ok)


print(ans)
### BUGGY CODE ###

import math
from functools import reduce

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

k = int(input())
sum_c = 0

for a in range(1, k + 1):
    for b in range(1, k + 1):
        for c in range(1, k + 1):
            sum_c += gcd(a, b, c)
            
            
print(sum_c)



### FIXED CODE ###

from  math import gcd

 
k = int(input())
sum_c = 0
 
for a in range(1, k + 1):
    for b in range(1, k + 1):
        for c in range(1, k + 1):
            sum_c += gcd(gcd(a, b), c)
            
print(sum_c)
### BUGGY CODE ###

from bisect import bisect_left

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

a = sorted(a)

temp = 2
while temp <= a[len(a) - 1]:
    temp *= 2

ans = 0
while len(a) > 1:
    m = a[len(a) - 1]
    del a[len(a) - 1]
    while 1:
        if temp > m * 2:
            temp //= 2
        else:
            break
    if temp < m:
        temp *= 2
        continue
    if (temp - m) in a:
        ans += 1
        a.remove(temp - m)

print(ans)



### FIXED CODE ###

from collections import Counter

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

a.sort(reverse=True)
c = Counter(a)

ans = 0
for x in a:
    if c[x] == 0:
        continue
    temp = (1 << x.bit_length()) - x
    c[x] -= 1
    if temp in c.keys():
        if c[temp] > 0:
            c[temp] -= 1
            ans += 1

print(ans)
### BUGGY CODE ###

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


### FIXED CODE ###

K,S = map(int,input().split())
count = 0
for i in range(K+1):
    for j in range(K+1):
        k = S - i -j
        if 0<= k <= K:
            
            count += 1
print(count)