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

line = input().split()
num = int(line[0]) + 1
sum = 0
for x in range(num):
    for y in range(num):
        if -1 < int(line[1]) - (x + y) < num:
            sum += 1          
print(sum)                

### FIXED CODE ###

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

import sys
read = sys.stdin.buffer.read
readline = sys.stdin.buffer.readline
readlines = sys.stdin.buffer.readlines
n = int(readline())
stdin = list(map(int,read().split()))
v = [0]+stdin[:2*n:2]
w = [0]+stdin[1:2*n:2]
q = stdin[2*n]
query = stdin[2*n+1:]
k = 0
num = 1
while num < n:
    k += 1
    num *= 2
prev = k//2
remain = k-k//2
dp = [[0]*(10**5+1)]
for i in range(1,2**prev+1):
    vi = v[i]
    wi = w[i]
    dp.append(dp[i//2][:])
    for j in range(wi,10**5+1):
        dp[i][j] = max(dp[i][j],dp[i//2][j-wi]+vi)
for i in range(q):
    vq,lq = query[i*2],query[i*2+1]
    if vq <= 2**prev:
        print(dp[vq][lq])
    else:
        ans = 0
        for j in range(2**remain):
            cur = vq
            curw = 0
            curv = 0
            while cur > 2**prev:
                if j & 1:
                    curv += v[cur]
                    curw += w[cur]
                cur //= 2
                j >>= 1
            if curw <= lq:
                ans = max(ans,curv+dp[cur][lq-curw])
        print(ans)

### FIXED CODE ###

import numpy as np
import sys
from numba import njit
read = sys.stdin.buffer.read
readline = sys.stdin.buffer.readline
readlines = sys.stdin.buffer.readlines

@njit('(i4,i4[:],i4[:])',cache=True)
def precompute(n,v,w):
    dp = np.zeros((1024,10**5+1),np.int32)
    for i in range(1,min(1024,n+1)):
        vi = v[i]
        wi = w[i]
        p = i//2
        dp[i]=dp[p]
        for j in range(wi,10**5+1):
            dp[i][j] = max(dp[i][j],dp[p][j-wi]+vi)
    return dp

@njit('(i4,i4[:],i4[:],i4[:],i4[:])',cache=True)
def main(n,v,w,vq,lq):
    dp = precompute(n,v,w)
    values = np.empty(1024,np.int32)
    weights = np.empty(1024,np.int32)

    def solve(V,L,values,weights,dp):
        if V < 1024:
            return dp[V][L]
        values[0] = 0
        weights[0] = 0
        p = 0
        while V >= 1024:
            for j in range(1 << p):
                values[j + (1 << p)] = values[j]+ v[V]
                weights[j + (1 << p)] = weights[j] + w[V]
            p += 1
            V >>= 1
        ans = 0
        for i in range(1 << p):
            if weights[i] <= L:
                x = dp[V][L-weights[i]] + values[i]
                ans = max(ans,x)
        return ans
    q = len(vq)
    for i in range(q):
        x = solve(vq[i],lq[i],values,weights,dp)
        print(x)
       
n = int(readline())
stdin = np.array(read().split(),np.int32)
v = np.zeros(n+1,np.int32)
w = np.zeros(n+1,np.int32)
v[1:] = stdin[:2*n:2]
w[1:] = stdin[1:2*n:2]
query = stdin[2*n+1:]
vq = query[::2]
lq = query[1::2]

main(n,v,w,vq,lq)
### BUGGY CODE ###

n,k,*h=map(int,open(0).read().split())
dp = [0]*n
for i in range(1,n):
  dp[i]=min(dp[j]+abs(h[i]-h[j]) for j in range(max(0,i-k),i))
print(dp[-1])


### FIXED CODE ###

N,K = map(int,input().split())
H = [int(x) for x in input().split()]
 
def main(N,K,H):
    dp = [0]*N
    for i in range(1,N):
        L = [dp[j]+abs(H[i]-H[j]) for j in range(max(0,i-K),i)]
        dp[i] = min(L)
    print(dp[-1])
main(N,K,H)
#自分のコードがTLEになるので、他の人が書いたコードでAC出来るのか確認。
### BUGGY CODE ###

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

import numpy as np

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

grid = np.array([list(input()) for _ in range(H)])

# dp[h][w] = (0,0) から (h,w) までの経路の本数
dp = np.zeros((H, W))
# 初期値
dp[0][0] = 1

# mod用
MOD_INT = 10 ** 9 + 7

for h in range(H):
    for w in range(W):
        # 右が範囲内の空マスなら現在マスの経路数を足す
        if w + 1 < W and grid[h][w + 1] == ".":
            # modを取って更新
            dp[h][w + 1] += np.mod(dp[h][w], MOD_INT)
        # 下が範囲内の空マスなら現在マスの経路数を足す
        if h + 1 < H and grid[h + 1][w] == ".":
            # modを取って更新
            dp[h + 1][w] = np.mod(dp[h][w], MOD_INT)

ans = np.mod(dp[H - 1][W - 1], MOD_INT)
print(int(ans))


### FIXED CODE ###

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

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

grid = [list(input()) for _ in range(H)]

# dp[h][w] = (0,0) から (h,w) までの経路の本数
dp = [[0] * W for _ in range(H)]
# 初期値
dp[0][0] = 1

# mod用
MOD_INT = 10 ** 9 + 7

for h in range(H):
    for w in range(W):
        # 右が範囲内の空マスなら現在マスの経路数を足す
        if w + 1 < W and grid[h][w + 1] == ".":
            # modを取って更新
            dp[h][w + 1] += dp[h][w] % MOD_INT
        # 下が範囲内の空マスなら現在マスの経路数を足す
        if h + 1 < H and grid[h + 1][w] == ".":
            # modを取って更新
            dp[h + 1][w] += dp[h][w] % MOD_INT

ans = dp[H - 1][W - 1] % MOD_INT
print(int(ans))
### BUGGY CODE ###

elst = [True for _ in range(10**5+1)]
elst[0] = False

for i, e in enumerate(elst):
  if e:
    for j in range(2*i+1, 10**5+1, i+1):
      elst[j] = False

q = int(input())
for _ in range(q):
  l, r = map(int, input().split())
  l = l if l % 2 == 1 else l + 1
  r = r if r % 2 == 0 else r + 1
  c = 0
  for x in range(l, r, 2):
    if elst[x-1] and elst[(x + 1) // 2 - 1]:
      c += 1
  print(c)


### FIXED CODE ###

elst = [True for _ in range(10**5+2)]
elst[0] = False
elst[1] = False

for i, e in enumerate(elst):
  if e:
    for j in range(2 * i, 10**5+2, i):
      elst[j] = False

c = [0 for _ in range(10**5+2)]
for i in range(1, 10**5+2, 2):
  if elst[i] and elst[(i+1)//2]:
    c[i] += 1
for i in range(2, 10**5+2):
  c[i] += c[i-1]

q = int(input())
for _ in range(q):
  l, r = map(int, input().split())
  print(c[r] - c[l-1])
### BUGGY CODE ###

import sys
input = sys.stdin.readline

n,m=map(int,input().split())
a=[int(input()) for i in range(m)]
F = [1,1]
for i in range(1,n):
    F.append((F[i]%(10**9+7)+F[i-1]%(10**9+7))%(10**9+7))


if n==1:
    print(1)
elif n==2:
    if m==1:
        print(1)
    elif m==0:
        print(2)
else:
    for i in range(m):
        if a[i]+1 in a or a[i]-1 in a:
            print(0)
            exit()
    if m==0:
        print(F[n])
    else:
        x=F[min(a)-1]
        a.append(n+1)
        for i in range(1,len(a)):
            x=(x*F[a[i]-a[i-1]-2])%(10**9+7)
        print(x)

### FIXED CODE ###

n,m=map(int,input().split())
a=set(int(input()) for _ in range(m))
dp=[0]*(n+1)
dp[0]=1
for i in range(1,n+1):
    dp[i]=(dp[i-1]+dp[i-2])%(10**9+7)
    if i in a:
        dp[i]=0
print(dp[n])
### BUGGY CODE ###

import collections

n, m = map(int, input().split())
a = list(map(int, input().split()))
cnt = 0
s = 0
for _ in range(m):
    b, c = map(int, input().split())
    a += [c] * b

ca = collections.Counter(a)
cas = sorted(ca.items(), key=lambda x: -x[0])
for i in range(n):
    if n > cnt + cas[i][1]:
        s += cas[i][0] * cas[i][1]
        cnt += cas[i][1]
    else:
        s += cas[i][0] * (n - cnt)
        break

print(s)

### FIXED CODE ###

n, m = map(int, input().split())
a = list(map(int, input().split()))
a.sort()
bc = [list(map(int, input().split())) for _ in range(m)]

bc.sort(reverse=True, key=lambda x:x[1])

i = 0
for b,c in bc:
    for j in range(i, min(n, i+b)):
        if a[j]<c:
            a[j] = c
    i = i+b
print(sum(a))
### BUGGY CODE ###

L, R = map(int,input().split())
lst = [i%2019 for i in range(L,R+1)]
lst = set(lst)
lst = list(lst)
N = len(lst)
ans = 10**8
for i in range(N-1):
    for j in range(i+1,N):
        if ans>(lst[i]*lst[j])%2019:
            ans = (lst[i]*lst[j])%2019
print(ans)

### FIXED CODE ###

L, R = map(int,input().split())
if R-L>=2018:
    print(0)
else:
    lst = [i%2019 for i in range(L,R+1)]
    lst = set(lst)
    lst = list(lst)
    N = len(lst)
    ans = 10**8
    for i in range(N-1):
        for j in range(i+1,N):
            if ans>(lst[i]*lst[j])%2019:
                ans = (lst[i]*lst[j])%2019
    print(ans)
### BUGGY CODE ###

s=input()
mod=10**9+7
dp = [[0]*15 for i in range(100005)]
dp[0][0]=1
for i in range(len(s)):
    keta = len(s)-i-1

    if s[i]=='?':
        nums = range(10)
    else:
        nums = [int(s[i])]
    
    tmp = 10**keta%13
    for num in nums:
        amari = num*tmp%13
        for j in range(13):
            dp[i+1][(j+amari)%13]+=dp[i][j]
            dp[i+1][(j+amari)%13]%=mod

print(dp[len(s)][5])

### FIXED CODE ###

s=input()
mod=10**9+7
dp = [[0]*15 for i in range(100005)]
dp[0][0]=1
for i in range(len(s)):
    keta = len(s)-i-1

    if s[i]=='?':
        nums = range(10)
    else:
        nums = [int(s[i])]
    
    tmp = pow(10,keta,13)
    for num in nums:
        amari = num*tmp%13
        for j in range(13):
            dp[i+1][(j+amari)%13]+=dp[i][j]
            dp[i+1][(j+amari)%13]%=mod

print(dp[len(s)][5])
### BUGGY CODE ###

import numpy as np

N = int(input())
A = np.array(list(map(int, input().split())))
D = np.zeros(N + 1, dtype='int')
D[:-1] = A // 2
D[1:] = A // 2
# print(D)

idx = A.argmin()
A = np.append(A[idx:], A[:idx])
# print('A', A)
# print('idx', idx)

for i in range(0, A[0] * 2 + 1, 2):
    M = [i]
    for j in range(N):
        v = 2 * A[j] - M[-1]
        M.append(v)
        if v < 0:
            break
    else:
        if M[0] == M[-1]:
            M = M[:-1]
            M = np.array(M)
            # print('M', M)
            idx2 = len(M) - idx
            # print('idx2', idx2)
            M = np.append(M[idx2:], M[:idx2])
            print(*M, sep=' ')
            exit()

# 一番小さいi値を 0, 2, 4, .... 2 * M[i]まで総当たりでやってみる


### FIXED CODE ###

import sys
input = sys.stdin.buffer.readline
import numpy as np
N = int(input())
A = np.array(list(map(int, input().split())))
# print(f'{A=}, {A[1::2]=}')

M = [0] * N
M[0] = A.sum() - 2 * A[1::2].sum()

for i in range(N - 1):
    M[i + 1] = 2 * A[i] - M[i]

print(*M, sep=' ')
# A1 + A2 + ... + AN = X1 + X2 + ... + XN = S
# XN+1 = N1とすると
# (Xi + Xi+1) / 2 = Ai
# Xi + Xi+1 = 2 * Ai
# X1 = S - (X2 + ... + XN) = S - 2(A2 + A4 + ... + AN-1)
# Xi+1 = 2Ai - Xi
### BUGGY CODE ###

#dt = {} for i in x: dt[i] = dt.get(i,0)+1
import sys;input = sys.stdin.readline
inp,ip = lambda :int(input()),lambda :[int(w) for w in input().split()]

#from fractions import gcd

def gcd(a, b): 
    if a == 0: return b 
    if b == 0: return a 
    k = 0
    while ((a | b) & 1) == 0: 
        a >>= 1
        b >>= 1
        k += 1
    while (a & 1) == 0: 
        a >>= 1
    while b:  
        while (b & 1) == 0: 
            b >>= 1
        if a > b : 
            a,b = b,a
        b = b - a 
    return a << k 

from math import sqrt
def pfact(num):
    d = set()
    if num&1 == 0:
        d.add(2)
    while num&1 == 0:
        num >>= 1
    for i in range(3,int(sqrt(num))+1,2):
        if num%i==0:
            d.add(i)
        while num%i==0:
            num //= i
    if num>2:
        d.add(num)
    return list(d)

n = inp()
x = ip()
x.sort()
t = x[0]
for i in range(1,n):
    t = gcd(t,x[i])
    if t == 1:
        break
if t != 1:
    ans = 'not coprime'
else:
    ans = 'pairwise coprime'
    dt = {i+1:1 for i in range(10**6)}
    for i in x:
        for j in pfact(i):
            if dt[j]:
                dt[j] = 0
            else:
                ans = 'setwise coprime'
                break
print(ans)


### FIXED CODE ###

#dt = {} for i in x: dt[i] = dt.get(i,0)+1
import sys;input = sys.stdin.readline
inp,ip = lambda :int(input()),lambda :[int(w) for w in input().split()]

#from fractions import gcd

def gcd(a, b): 
    if a == 0: return b 
    if b == 0: return a 
    k = 0
    while ((a | b) & 1) == 0: 
        a >>= 1
        b >>= 1
        k += 1
    while (a & 1) == 0: 
        a >>= 1
    while b:  
        while (b & 1) == 0: 
            b >>= 1
        if a > b : 
            a,b = b,a
        b = b - a 
    return a << k 

from math import sqrt
def pfact(num):
    global dt
    if num&1 == 0:
        num >>= 1
        if dt[2]:
            dt[2] = 0
        else:
            return 'setwise coprime'
    while num&1 == 0:
        num >>= 1
    for i in range(3,int(sqrt(num))+1,2):
        if num%i == 0:
            num //= i
            if dt[i]:
                dt[i] = 0
            else:
                return 'setwise coprime'
        while num%i == 0:
            num //= i
    if num>2:
        if dt[num]:
            dt[num] = 0
        else:
            return 'setwise coprime'
    return 'pairwise coprime'

n = inp()
x = ip()
x.sort(reverse=True)
t = x[0]
for i in range(1,n):
    t = gcd(t,x[i])
    if t == 1:
        break
if t != 1:
    ans = 'not coprime'
else:
    ans = 'pairwise coprime'
    dt = {i+1:1 for i in range(10**6)}
    for i in x:
        if pfact(i) == 'setwise coprime':
            ans = 'setwise coprime'
            break
print(ans)
### BUGGY CODE ###

def factorization(n):
    arr = []
    temp = n
    for i in range(2, int(-(-n**0.5//1))+1):
        if temp%i==0:
            cnt=0
            while temp%i==0:
                cnt+=1
                temp //= i
            arr.append([i, cnt])

    if temp!=1:
        arr.append([temp, 1])

    if arr==[]:
        arr.append([n, 1])

    return arr
n=int(input())
a=list(map(int,input().split()))
ans=0
for i in range(n):
    t=factorization(a[i])
    if t[0][0]==2:
        ans+=t[0][1]
print(ans)

### FIXED CODE ###

n=int(input())
a=list(map(int,input().split()))
ans=0
for i in range(n):
    while a[i]%2==0:
        ans+=1
        a[i]/=2
print(ans)
### BUGGY CODE ###

n = int(input())
s=[[0, 'papa']]

for _ in range(n):
  t = str(input())
  l=len(s)
  for i in range(l):
    if t == s[i][1]:
      s[i][0]+=1
      break
      continue
  s.append([1, t])
s.sort()
l=len(s)
m=s[l-1][0]
for i in range(l):
  if s[i][0]==m:
    print(s[i][1])

### FIXED CODE ###

n = int(input())
s=[input() for _ in range(n)]
s.sort()

c=1
m=0
for i in range(n-1):
  if s[i]==s[i+1]:
    c+=1
  else:
    if c > m:
      ans=[s[i]]
      m=c
      c=1
    elif c==m:
      ans.append(s[i])
      c=1
    else:
      c=1
if c > m:
  ans=[s[n-1]]
elif c==m:
   ans.append(s[n-1])
for i in range(len(ans)):
  print(ans[i])
### BUGGY CODE ###

from itertools import*
from math import*
from collections import*
from heapq import*
from bisect import bisect_left,bisect_right
from copy import deepcopy
inf = 10**18
mod = 10**9+7
from functools import reduce
import sys
sys.setrecursionlimit(10**7)

n,c = map(int,input().split())
D = [list(map(int,input().split())) for _ in range(c)]
C = [list(map(int,input().split())) for _ in range(n)]
ans = inf
for (a,b,c) in permutations(range(c),3):
    cur = 0
    for i in range(n):
        for j in range(n):
            if (i+j)%3 == 0:
                cur += D[C[i][j]-1][a]
            elif (i+j)%3 == 1:
                cur += D[C[i][j]-1][b]
            else:
                cur += D[C[i][j]-1][c]
    ans = min(ans,cur)
print(ans)


### FIXED CODE ###

from itertools import*
from math import*
from collections import*
from heapq import*
from bisect import bisect_left,bisect_right
from copy import deepcopy
inf = 10**18
mod = 10**9+7
from functools import reduce
import sys
sys.setrecursionlimit(10**7)

n,c = map(int,input().split())
D = [list(map(int,input().split())) for _ in range(c)]
C = [list(map(int,input().split())) for _ in range(n)]
C0,C1,C2 = [0]*c,[0]*c,[0]*c
for i in range(n):
    for j in range(n):
        if (i+j)%3 == 0:
            C0[C[i][j]-1] += 1
        elif (i+j)%3 == 1:
            C1[C[i][j]-1] += 1
        else:
            C2[C[i][j]-1] += 1
ans = inf
for (i,j,k) in permutations(range(c),3):
    cur = 0
    for l in range(c):
        cur += D[l][i]*C0[l]+D[l][j]*C1[l]+D[l][k]*C2[l]
    ans = min(ans,cur)
print(ans)
### BUGGY CODE ###

def comb(n,k,p):
	from math import factorial
	if n<0 or k<0 or n<k: return 0
	if n==0 or k==0: return 1
	a=factorial(n) %p
	b=factorial(k) %p
	c=factorial(n-k) %p
	return (a*power_func(b,p-2,p)*power_func(c,p-2,p))%p
def power_func(a,b,p):
  	if b==0: return 1
  	if b%2==0:
    		d=power_func(a,b//2,p)
    		return d*d %p
  	if b%2==1:
    		return (a*power_func(a,b-1,p ))%p


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

mod = 10**9+7
ans_list = []

x_list = []

for i in range(0, x//2+1):
    x_list.append([i, x-2*i])

for g,l in x_list:
    if (g+2*l)==y:
    	ans_list.append([g,l])

ans=0
for g,l in ans_list:
    ans += comb(g+l, g, mod)
print(ans)

### FIXED CODE ###

class Combination:
    def __init__(self, n_max, mod=10**9+7):
        self.mod = mod
        self.modinv = self.make_modinv_list(n_max)
        self.fac, self.facinv = self.make_factorial_list(n_max)

    def __call__(self, n, r):
        return self.fac[n] * self.facinv[r] % self.mod * self.facinv[n-r] % self.mod

    def make_factorial_list(self, n):
        # 階乗のリストと階乗のmod逆元のリストを返す O(n)
        # self.make_modinv_list()が先に実行されている必要がある
        fac = [1]
        facinv = [1]
        for i in range(1, n+1):
            fac.append(fac[i-1] * i % self.mod)
            facinv.append(facinv[i-1] * self.modinv[i] % self.mod)
        return fac, facinv

    def make_modinv_list(self, n):
        # 0からnまでのmod逆元のリストを返す O(n)
        modinv = [0] * (n+1)
        modinv[1] = 1
        for i in range(2, n+1):
            modinv[i] = self.mod - self.mod//i * modinv[self.mod%i] % self.mod
        return modinv


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

mod = 10**9+7
ans_list = []

x_list = []

for i in range(0, x//2+1):
    x_list.append([i, x-2*i])

for g,l in x_list:
    if (g+2*l)==y:
    	ans_list.append([g,l])

ans=0
A = Combination(10**6, mod)
for g,l in ans_list:
    ans += A(g+l,l)

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

s = list(input())
t = list(input())

tmp = 0
sets = set(s)
# print (sets)
for T in t:
    if T not in sets:
        print (-1)
        exit()

T = 0
while T < len(t):
    if s[tmp % len(s)] == t[T]:
        T += 1
    tmp += 1

print (tmp)

### FIXED CODE ###

# O (T * log(S))
from bisect import bisect_left

S = list(input())
T = list(input())
# S = 'a' * (10 ** 5) + 'b'
# T = 'b' * (10 ** 5)
#条件を満たせるかを調べる
setS = set(S)
for t in T:
    if t not in setS:
        print (-1)
        exit()

lst = [[] for _ in range(26)]
for index, x in enumerate(S):
    lst[ord(x) - 97].append(index)

tmp = 0 #現在地
roop = 0
for t in T:
    tmp = bisect_left(lst[ord(t) - 97], tmp)
    if tmp == len(lst[ord(t) - 97]):
        roop += 1
        tmp = lst[ord(t) - 97][0] + 1
    else:
        tmp = lst[ord(t) - 97][tmp] + 1

# print (roop)
# print (tmp)
print (roop * len(S) + tmp)
### BUGGY CODE ###

N = int(input())
*A, = map(int, input().split())

ans = 1
for i in range(N):
    ans = ans * A[i]

if ans>10**18:
    print(-1)
    exit()
print(ans)

### FIXED CODE ###

N = int(input())
*A, = map(int, input().split())

def dfs(l, r):

    if l==r:
        return A[l]
    mid = (l+r)//2
    ans = 1
    ans = ans * dfs(l, mid)
    ans = ans * dfs(mid+1, r)
    return ans

ans = dfs(0, len(A)-1)

if ans>10**18:
    print(-1)
    exit()
print(ans)
### BUGGY CODE ###

n = int(input())
ll = [int(w) for w in input().split()]
ll.sort(reverse=True)

ans = 0
for ei, i in enumerate(ll):
    for ej, j in enumerate(ll[ei + 1:]):
        for k in ll[ei + ej + 2:]:
            if i < (j + k):
                ans += 1
            else:
                break


print(ans)


### FIXED CODE ###

import bisect

n = int(input())
ll = [int(w) for w in input().split()]
ll.sort()

ans = 0
for i in range(n):
    for j in range(i + 1, n):
        ans += bisect.bisect_left(ll, ll[i] + ll[j]) - (j + 1)

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

a, b = map(int, input().split())
idx = 2
ans = 1
prime = []

while idx <= a and idx <= b:
    for num in prime:
        if idx%num == 0:
            break
    else:
        prime += [idx]
        if a%idx == 0 and b%idx == 0:
            ans += 1
            a //= idx
            b //= idx
    idx += 1
print(ans)


### FIXED CODE ###

import math
a, b = map(int, input().split())
ans = {1}

def calc_gcd(x, y):
    if y == 0: return x
    return calc_gcd(y, x%y)

def factrize(z):
    i = 2
    set = {1}
    while i*i <= z:
        while z%i==0:
            z//=i
            set.add(i)
        i+=1
    if z > 1:
        set.add(z)
    return set

gcd = calc_gcd(a, b)
print(len(factrize(gcd)))
### BUGGY CODE ###

import math
from functools import reduce

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

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

number = int(input())
sumx = 0
for i in range(1,number+1):
  for j in range(1,number+1):
    for k in range(1,number+1):
#      print("i",i)
#      print("j",j)
#      print("k",k)
#      print(gcd(i,j,k))
      sumx = sumx + gcd(i, j, k)

print (sumx)
  

### FIXED CODE ###

import math

number = int(input())
sumx = 0
N = number+1
for i in range(1,N):
  for j in range(1,N):
    for k in range(1,N):
      sumx = sumx + math.gcd(math.gcd(i,j), k)

print (sumx)
### BUGGY CODE ###

N = int(input())
G = []
S = []
r = 0
t = 0
for i in range(N):
    p = input()
    l = len(p)
    if not l in G:
        G.append(l)
        #S[t].append(len(p))
        S.append([p])
        t += 1
    else:
        z = G.index(l)
        if not p in S[z]:
            S[z].append(p)
x = 0
for w in range(len(G)):
    x += len(S[w])
print(x)

### FIXED CODE ###

N = int(input())
S = set()
for i in range(N):
    S.add(input())
print(len(S))
### BUGGY CODE ###

N = int(input().strip())
P = list(map(int, input().strip().split()))
ans = 0
for i in range(N):
  flag = True
  for j in range(0, i):
    if P[i] > P[j]:
      flag = False
      break
  if flag:
    ans += 1
print(ans)

### FIXED CODE ###

import copy

N = int(input().strip())
P = list(map(int, input().strip().split()))
ans = 0
min = 1e10
for i in range(N):
  #Q = copy.copy(P[0:i+1])
  #Q.sort()
  #print(P)
  #print(Q)
  #if Q[0] >= P[i]:
  #  ans += 1
  if P[i] < min:
    min = P[i]
    ans += 1
  """
  flag = True
  for j in range(0, i):
    if P[i] > P[j]:
      flag = False
      break
  if flag:
    ans += 1
  """
  
print(ans)
### BUGGY CODE ###

import operator
from functools import reduce
n = input()
l = [int(each) for each in input().split()]
result = reduce(operator.mul,l)
if result > 10**18:
    result = -1
print(result)

### FIXED CODE ###

n = input()
l = [int(each) for each in input().split()]
if 0 in l:
    print(0)
else:
    result = 1
    for each in l:
        result *= each
        if result > 1000000000000000000:
            result = -1
            break
    print(result)
### BUGGY CODE ###

n,k=map(int,input().split())
p = [int(i) for i in input().split()]
ans=0
for i in range(len(p)-k+1):
    x=0
    for j in range(k):
        x+=(p[i+j]+1)/2
    if x>ans:
        ans=x
#print(ans)
print(ans)

### FIXED CODE ###

n,k=map(int,input().split())
p = [int(i) for i in input().split()]

for i in range(len(p)):
    p[i]=(p[i]+1)/2
tmp=sum(p[0:k])
x=sum(p[0:k])
for i in range(k,len(p)):
    x=x-p[i-k]+p[i]
    if x>tmp:
        tmp=x
print(tmp)