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

n, x = map(int, input().split())
A = list(map(int, input().split()))
 
def segfunc(x, y):
    if x <= y:
      return x
    else:
      return y
 
def init(init_val):
    # set_val
    for i in range(n):
        seg[i+num-1] = init_val[i]
    # built
    for i in range(num-2, -1, -1):
        seg[i] = segfunc(seg[2*i+1], seg[2*i+2])
 
def update(k, x):
    k += num - 1
    seg[k] = x
    while k:
        k = (k-1)//2
        seg[k] = segfunc(seg[2*k+1], seg[2*k+2])
 
def query(p, q):
    if q <= p:
        return ide_ele
    p += num - 1
    q += num - 2
    res = ide_ele
    while q-p>1:
        if p&1 == 0:
            res = segfunc(res, seg[p])
        if q&1 == 1:
            res = segfunc(res, seg[q])
            q -= 1
        p = p//2
        q = (q-1)//2
    if p == q:
        res = segfunc(res, seg[p])
    else:
        res = segfunc(segfunc(res, seg[p]), seg[q])
    return res
 
# identity element
ide_ele = 10**9+1
 
# num: n以上の最小の2のべき乗
num = 2**(n-1).bit_length()
seg = [ide_ele]*2*num
 
init(A)
 
ans = float('inf')
for k in range(n):
    t = k*x
    for i in range(n):
        if k <= i:
            t += query(i-k, i+1)
        else:
            t += min(query(0, i+1), query(n-(k-i), n))
    ans = min(t, ans)
print(ans)

### FIXED CODE ###

import sys

n, x = map(int,sys.stdin.readline().split())
A = list(map(int,sys.stdin.readline().split()))

ans = 10**18
mins = [a for a in A]
for k in range(n):
    for i in range(n):
        if k <= i:
            mins[i] = min(A[i-k], mins[i])
        else:
            mins[i] = min(A[n-(k-i)], mins[i])
    ans = min(sum(mins)+k*x, ans)
print(ans)
### BUGGY CODE ###

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

exp_sum = []
sum_max = 0
exp1 = 0
for j in range(0,len(p)-k+1):
    sum_each = 0
    exp1 = 0
    sum1 = 0
#if k == 1:
#for k in range()
#sum1 += sum(p[0:k])
#exp1 = sum1/p[0]
#exp_sum.append(exp1)
#else:
    for i in range(j,j + k):
        sum1 += p[i]
    if sum_max < sum1:
        for i in range(j,j + k):
            sum_each = 0.5 * p[i] * (p[i] + 1)
            exp1 += sum_each/p[i]
        exp_sum.append(exp1)
print(max(exp_sum))

### FIXED CODE ###

import sys

def LI(): return list(map(int, sys.stdin.readline().split()))
N, K = LI()
p = LI()
ps = []
for i in range(N):
    ps.append((p[i] + 1) / 2)
 
anss = []
tmp = 0
for i in range(N):
    tmp += ps[i]
    if i > K - 1:
        tmp -= ps[i - K]
    anss.append(tmp)
 
print(max(anss))
### BUGGY CODE ###

from functools import reduce
n, k = [int(i) for i in input().split()]
p = [int(i) for i in input().split()]
max = 0
idx = 0
for i in range(len(p) - k + 1):
	if sum(p[i:i+k]) > max:
		max = sum(p[i:i+k])
		idx = i
lst = p[idx:idx+k]

total_tasu = 0
total_kake = reduce(lambda a, b: a*b, lst)
for i, v in enumerate(lst):
	kake = total_kake / v
	for j in range(1, v + 1):
		total_tasu += j * kake
print(total_tasu/total_kake)

### FIXED CODE ###

from functools import reduce
n, k = [int(i) for i in input().split()]
p = [int(i) for i in input().split()]
tmp_max = sum([i / 2 + 0.5 for i in p[0:k]])
tmp = tmp_max
idx = 0
for i in range(1, len(p) - k + 1):
	tmp -= p[i - 1] / 2 + 0.5
	if i + k - 1 < len(p):
		tmp += p[i + k - 1] / 2 + 0.5
	tmp_max = max(tmp_max, tmp)
print(tmp_max)
### BUGGY CODE ###

import sys
from collections import deque

N = int(input())
A = [deque([int(i) for i in input().split()]) for i in range(N)]

ans=0
empty = [deque() for n in range(N)]
first_fight = set([i for i in range(N)])
record = set()

#前日に試合をした選手のみマッチングを確認する(これで最悪O(n^2))。
#そうしないと、「while True」の部分で最悪n(n-1)/2の計算量がかかり、O(n^3)となって詰む
while True:
    first = True
    change=False
    stamina=[1]*N
    if first is True:
        pre_fight = first_fight
    else:
        pre_fight = record
    for g in pre_fight:
        if A[g]!=deque() and stamina[g]==1 and stamina[A[g][0]-1]==1:
            if g+1 == A[A[g][0]-1][0]:
                _pop = A[g].popleft()
                A[_pop-1].popleft()
                stamina[g]=0
                stamina[_pop-1]=0
                change=True
                record.add(g)
    first=False
    record = set()
    ans+=1
    if change is False:
        break
    if A==empty:
        print(ans)
        sys.exit()

print(-1)

### FIXED CODE ###

import sys
from collections import deque

N = int(input())
A = [deque([int(i) for i in input().split()]) for i in range(N)]

ans=0
empty = [deque() for i in range(N)]
pre_fight = set([i for i in range(N)])
record = set()

while True:
    for g in pre_fight:
        if A[g]!=deque():
            if g+1 == A[A[g][0]-1][0]:
                record.add(g)
                record.add(A[g][0]-1)
    if record==set():
        break
    else:
        for i in record:
            A[i].popleft()
    ans+=1
    pre_fight = record
    record = set()
    if A==empty:
        print(ans)
        sys.exit()

print(-1)
### BUGGY CODE ###

def fib(n):
    if n == 0 or n == 1:
        return 1
    else :
        return fib(n - 1) + fib(n - 2)


print( fib( int( input() ) ) )



### FIXED CODE ###

class fibNum():
    def __init__(self):
        self.arr = [1, 1]
    def fib(self, n):
        return_num = 1
        if n > 1:
            if len(self.arr) <= n:
                self.arr.append( self.fib(n-1) + self.fib(n-2) )
            return_num = self.arr[n]
        return return_num

def main():
    n = int( input() )
    fn = fibNum()
    print( fn.fib(n) )

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

q = int(input())
for i in range(q):
    x = input()
    y = input()
    n = len(x)
    m = len(y)
    dp1 = [0]*(m+1)
    for i in range(n):
        s = x[i]
        dp2 = dp1[:]
        for j in range(m):
            if s == y[j]:
                dp1[j+1] = dp2[j]+1
            elif dp1[j+1] < dp1[j]:
                dp1[j+1] = dp1[j]
    print(dp1[-1])


### FIXED CODE ###

def calc(x,y):
    n = len(x)
    m = len(y)
    dp1 = [0]*(m+1)
    for i in range(n):
        s = x[i]
        dp2 = dp1[:]
        for j in range(m):
            if s == y[j]:
                dp1[j+1] = dp2[j]+1
            elif dp1[j+1] < dp1[j]:
                dp1[j+1] = dp1[j]
    return dp1[-1]

q = int(input())
for i in range(q):
    x = input()
    y = input()
    print(calc(x,y))
### BUGGY CODE ###

import sys

stdin = sys.stdin
 
ri = lambda: int(rs())
rl = lambda: list(map(int, stdin.readline().split()))
rs = lambda: stdin.readline().rstrip()  # ignore trailing spaces

N = ri()
A = rl()
MOD = 10 ** 9 + 7
#1番目以降(N個の数)のbitの格桁の合計
l = [0] * 60
for i in range(N):
    s = list(str(bin(A[i]))[2:].rjust(60, '0'))
    #print(s)
    for j in range(60):
        if s[j] == '1':
            l[j] += 1
l2 = [0] * 60
#print(l)
for i in range(N-1):
    s = list(str(bin(A[i]))[2:].rjust(60, '0'))
    x = N - 1 - i
    for j in range(60):
        if s[j] == '1':
            l[j] -= 1
            l2[j] += x - l[j]
        else:
            l2[j] += l[j]
answer = 0
#print(l2)
for i in range(60):
    answer += 2 ** (59-i) * l2[i]
    answer %= MOD
#print(l)
print(answer)



### FIXED CODE ###

import sys
import numpy as np

stdin = sys.stdin
 
ri = lambda: int(rs())
rl = lambda: list(map(int, stdin.readline().split()))
rs = lambda: stdin.readline().rstrip()  # ignore trailing spaces

N = ri()
A = np.array(rl())
answer = 0
MOD = 10 ** 9 + 7

for n in range(63):
    B = (A >> n) & 1
    x = np.count_nonzero(B)
    y = N - x
    x *= y
    for _ in range(n):
        x *= 2
        x %= MOD
    answer += x

print(answer%MOD)
### BUGGY CODE ###

n = int(input())
x = int(input(), 2)

def solve(a, pc):
    if pc == 0:
        return 0
    elif pc == 1:
        return 1
    return solve(a % pc, bin(a % pc).count('1')) + 1
        
pc = bin(x).count('1')
pc_p = pc + 1
pc_m = pc - 1
for i in reversed(range(n)):
    a = 1 << i ^ x
    if x >> i & 1 == 1:
        print(solve(a, pc_m))
    else:
        print(solve(a, pc_p))


### FIXED CODE ###

n = int(input())
x_bin = input()
x = int(x_bin, 2)

pc = x_bin.count('1')
pc_p = pc + 1
pc_m = pc - 1

if pc == 1:
    for i, v in enumerate(x_bin):
        if v == '1':
            print(0)
        else:
            if i != n-1:
                if x_bin[-1] == '0':
                    print(1)
                else:
                    print(2)
            else:
                print(2)
    exit()

p = {0: 1}
m = {0: 1}
for i in range(1, n):
    p[i] = p[i-1]*2 % pc_p
    m[i] = m[i-1]*2 % pc_m

rest = {0: 0}
for i in range(1, pc + 1):
    rest[i] = rest[i % bin(i).count('1')] + 1

x_p = x % pc_p
x_m = x % pc_m

for i in range(n, 0, -1):
    if x_bin[n-i] == '1':
        a = (x_m - m[i-1]) % pc_m
        print(rest[a] + 1)
    else:
        a = (x_p + p[i-1]) % pc_p
        print(rest[a] + 1)
### BUGGY CODE ###

import bisect

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

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

l=0
r=len(A)
c=(r+l)/2

n=0


for i in B:
    if i in A:
        n+=1
    elif i>c:
        l=c+1
        c=(r+l)/2
    else:
        r=c
        c=(r+l)/2

print(n)



### FIXED CODE ###


def bs(A, n):
    l=0
    r=len(A)
    while l<r:
        mid=int((l+r)/2)
        if A[mid]==n:
            return mid
        else:
            if n<A[mid]:
                r=mid
            else:
                l=mid+1

    return -1

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

T=int(input())
B=[int(j) for j in input().split()]

A.sort()

cnt=0
for i in range(T):
    x=bs(A,B[i])
    if x!=(-1):
        cnt=cnt+1

print(cnt)
### BUGGY CODE ###

S = input()

MOD = 10 ** 9 + 7

dp = [0] * 13
dp[0] = 1
for i in range(len(S)):
    new_dp = [0] * 13
    if S[i] == '?':
        for j in range(10):
            for k in range(13):
                new_dp[(k * 10 + j) % 13] += dp[k]
                new_dp[(k * 10 + j) % 13] %= MOD
    else:
        j = int(S[i])
        for k in range(13):
            new_dp[(k * 10 + j) % 13] += dp[k]
            new_dp[(k * 10 + j) % 13] %= MOD
    dp = new_dp[:]
print(dp[5])


### FIXED CODE ###

S = input()

MOD = 10 ** 9 + 7

dp = [0] * 13
dp[0] = 1
for i in range(len(S)):
    new_dp = [0] * 13
    if S[i] == '?':
        for j in range(10):
            for k in range(13):
                new_dp[(k * 10 + j) % 13] += dp[k]
                new_dp[(k * 10 + j) % 13] %= MOD
    else:
        j = int(S[i])
        for k in range(13):
            new_dp[(k * 10 + j) % 13] += dp[k]
            new_dp[(k * 10 + j) % 13] %= MOD
    dp = new_dp[:]
print(dp[5])
### BUGGY CODE ###

n=int(input())
a=[]
for i in range(n):
  a.append(int(input()))
f=[0 for i in range(max(a))]
for x in a:
  f[x-1]+=1
  f[x-1]%=2
print(sum(f))

### FIXED CODE ###

n=int(input())
a=[0 for _ in range(n)]
for i in range(n):
  a[i]=int(input())
a.sort()
ans,cnt=0,0
p=-1
for x in a:
  if p==x:
    cnt+=1
  else:
    p=x
    if cnt%2==1:
      ans+=1
    cnt=1
if cnt%2==1:
  ans+=1
print(ans)
### BUGGY CODE ###

n = int(input())
l = []
for i in range(n):
    l.append(int(input()))

for i in range(n):
    print(max(l[:i] + l[i + 1:]))


### FIXED CODE ###

n = int(input())
l = []
for i in range(n):
    l.append([int(input()), i])
l.sort(reverse=True)
m1 = l[0][0]
m2 = l[1][0]
id1 = l[0][1]
for i in range(n):
    if i == id1:
        print(m2)
    else:
        print(m1)
### BUGGY CODE ###

def p_c():
    import sys
    sys.setrecursionlimit(10 ** 9)
    n = int(input())
    ans = 0

    def dfs(s):
        """
        :type s: str
        """
        if int(s) > n:
            return 0
        ret = 1 if all(s.count(c) for c in "753") else 0
        for c in "753":
            ret += dfs(s.join(c))
        return ret

    print(dfs("0"))
    
p_c()

### FIXED CODE ###

def p_c():
    import sys
    sys.setrecursionlimit(10 ** 9)
    n = int(input())
    ans = 0

    def dfs(s):
        """
        :type s: str
        """
        if int(s) > n:
            return 0
        ret = 1 if all(s.count(c) for c in "753") else 0
        for c in "753":
            ret += dfs(s + c)
        return ret

    print(dfs("0"))
    
p_c()
### BUGGY CODE ###

n, k = map(int, input().split())
next = list(map(int, input().split()))
next = list(map(lambda x: x - 1, next))
c = list(map(int, input().split()))

ans = -(10 ** 17)

for i in range(n):
    now = i
    cycle_sum = 0
    cycle_len = 0

    while True:
        cycle_sum += c[now]
        cycle_len += 1
        now = next[now]
        if now == i:
            break

    sum = 0
    cnt = 0

    while True:
        sum += c[now]
        cnt += 1

        if cnt > k:
            break

        laps = (k - cnt) // cycle_len
        score = sum + max(0, cycle_sum) * laps
        ans = max(ans, score)

        now = next[now]
        if now == i:
            break

print(ans)

### FIXED CODE ###

n, k = map(int, input().split())
next = list(map(int, input().split()))
next = list(map(lambda x: x - 1, next))
c = list(map(int, input().split()))

ans = -(10 ** 17)

for i in range(n):
    now = i
    cycle_sum = 0
    cycle_len = 0

    while True:
        cycle_sum += c[now]
        cycle_len += 1
        now = next[now]
        if now == i:
            break

    sum = 0
    cnt = 0

    while True:
        sum += c[now]
        cnt += 1

        if cnt > k:
            break

        laps = (k - cnt) // cycle_len
        score = sum + max(0, cycle_sum) * laps
        ans = max(ans, score)

        now = next[now]
        if now == i:
            break

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

n = int(input())
x = input()

num_of_1 = x.count("1")

first = int(x, 2)

for i in range(n):
    temp_num_of_1 = num_of_1 + 1 if x[i] == "0" else num_of_1 - 1

    ans = 0

    if temp_num_of_1 > 0:
        a = first + 2 ** (n - i - 1) if x[i] == "0" else first - 2 ** (n - i - 1)

        a = a % temp_num_of_1

        temp = bin(a)[2:]

        ans += 1
    
        while temp.count("1") != 0:
            a = int(temp, 2)

            a = a % temp.count("1")

            temp = bin(a)[2:]

            ans += 1

    print(ans)

### FIXED CODE ###

n = int(input())
x = input()

num_of_1 = x.count("1")

first = int(x, 2)

def f(x):
    if x == 0:
        return 0
    return 1 + f(x % bin(x).count('1'))

if num_of_1 == 1:
    for i in range(n):
        if x[i] == '1':
            print(0)
        elif i == n-1:
            print(2)
        else:
            print(1)
    exit()

first_one, first_zero = first % (num_of_1 - 1), first % (num_of_1 + 1)

for i in range(n):
    if x[i] == "0":
        print(1 + f((first_zero + pow(2, n-i-1, num_of_1 + 1)) % (num_of_1 + 1)))
    else:
        print(1 + f((first_one - pow(2, n-i-1, num_of_1 - 1)) % (num_of_1 - 1)))
### BUGGY CODE ###

import math

A,B,Q = map(int, input().split())
S=[0]*A
T=[0]*B
for i in range(A):
  S[i] = int(input())
for i in range(B):
  T[i] = int(input())
S.append(float('inf'))
S.insert(0,(-1)*float('inf'))
T.append(float('inf'))
T.insert(0,(-1)*float('inf'))
for i in range(Q):
  x = int(input())
  floor = 0
  ceil = len(S)-1
  index = math.floor(A/2)
  while True:
    if S[index] < x:
      if x <= S[index+1]:
        nearest_x_S = [S[index]-x, S[index+1]-x]
        break
      else:
        floor = index
        index = math.floor((floor+ceil)/2)
    elif x < S[index]:
      if S[index-1] <= x:
        nearest_x_S = [S[index-1]-x, S[index]-x]
        break
      else:
        ceil = index
        index = math.floor((floor+ceil)/2)
        
  floor = 0
  ceil = len(T)-1
  index = math.floor(B/2)
  while True:
    if T[index] < x:
      if x <= T[index+1]:
        nearest_x_T = [T[index]-x, T[index+1]-x]
        break
      else:
        floor = index
        index = math.floor((floor+ceil)/2)
    elif x < T[index]:
      if T[index-1] <= x:
        nearest_x_T = [T[index-1]-x, T[index]-x]
        break
      else:
        ceil = index
        index = math.floor((floor+ceil)/2)

  ans_cand = []
  for x_S in nearest_x_S:
    for x_T in nearest_x_T:
      if x_S*x_T > 0:
        ans_cand.append(max(abs(x_S),abs(x_T)))
      else:
        ans_cand.append(abs(x_S)+abs(x_T)+min(abs(x_S),abs(x_T)))
  print(int(min(ans_cand)))
  
  


### FIXED CODE ###

mod = 1000000007
eps = 10**-9
inf = 10**15


def main():
    import sys
    from bisect import bisect_left
    input = sys.stdin.buffer.readline

    A, B, Q = map(int, input().split())
    S = [-inf]
    for _ in range(A):
        S.append(int(input()))
    S.append(inf)
    T = [-inf]
    for _ in range(B):
        T.append(int(input()))
    T.append(inf)

    for _ in range(Q):
        x = int(input())
        i = bisect_left(S, x)
        j = bisect_left(T, x)
        ans = []
        ans.append(x - S[i-1] + abs(S[i-1] - T[j-1]))
        ans.append(x - S[i-1] + abs(S[i-1] - T[j]))
        ans.append(x - T[j-1] + abs(T[j-1] - S[i-1]))
        ans.append(x - T[j-1] + abs(T[j-1] - S[i]))
        ans.append(S[i] - x + abs(S[i] - T[j-1]))
        ans.append(S[i] - x + abs(S[i] - T[j]))
        ans.append(T[j] - x + abs(T[j] - S[i-1]))
        ans.append(T[j] - x + abs(T[j] - S[i]))
        print(min(ans))


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

import math
import copy
import sys
import fractions
import numpy as np
from functools import reduce

# ===FUNCTION===

def getInputInt():
    inputNum = int(input())
    return inputNum

def getInputListInt():
    outputoData = []
    inputData = input().split()
    outputData = [int(n) for n in inputData]

    return outputData

def getSomeInputInt(n):
    outputDataList = []
    for i in range(n):
        inputData = int(input())
        outputDataList.append(inputData)

    return outputDataList

def getSomeInputListInt(n):
    inputDataList = []
    outputDataList = []
    for i in range(n):
        inputData = input().split()
        inputDataList = [int(n) for n in inputData]
        outputDataList.append(inputDataList)

    return outputDataList

# ===CODE===

n, = map(int, input().split())
data = getInputListInt()

param = []
tmpparam = []
onelist = []
twolist = []

tmp = 0
for i in range(n):
    if tmpparam.count(data[i]) == 0:
        param.append([data[i], 0, 0])
        tmpparam.append(data[i])

if len(param)==1:
    param.append([0, 0, 0])

for i in range(len(param)):
    for j in range(n):
        if j%2==0:
            if data[j]!=param[i][0]:
                param[i][1]+=1
        else:
            if data[j]!=param[i][0]:
                param[i][2]+=1

srtlist = sorted(param, key=lambda x:x[1])
onemin1 = [srtlist[0][0], srtlist[0][1]]
onemin2 = [srtlist[1][0], srtlist[1][1]]

srtlist = sorted(param, key=lambda x:x[2])
twomin1 = [srtlist[0][0], srtlist[0][2]]
twomin2 = [srtlist[1][0], srtlist[1][2]]

if onemin1[0] != twomin1[0]:
    print(onemin1[1]+twomin1[1])
else:
    print(min(onemin1[1]+twomin2[1], onemin2[1]+twomin1[1]))


### FIXED CODE ###

import math
import copy
import sys
import fractions
import numpy as np
from functools import reduce

# ===FUNCTION===

def getInputInt():
    inputNum = int(input())
    return inputNum

def getInputListInt():
    outputoData = []
    inputData = input().split()
    outputData = [int(n) for n in inputData]

    return outputData

def getSomeInputInt(n):
    outputDataList = []
    for i in range(n):
        inputData = int(input())
        outputDataList.append(inputData)

    return outputDataList

def getSomeInputListInt(n):
    inputDataList = []
    outputDataList = []
    for i in range(n):
        inputData = input().split()
        inputDataList = [int(n) for n in inputData]
        outputDataList.append(inputDataList)

    return outputDataList

# ===CODE===

n, = map(int, input().split())
data = getInputListInt()

onedic = {0:0}
twodic = {0:0}

for i in range(n):
    if i % 2 ==0:
        onedic[data[i]]=0
    else:
        twodic[data[i]]=0

for i in range(n):
    if i % 2 ==0:
        onedic[data[i]]+=1
    else:
        twodic[data[i]]+=1

onemax = max(onedic, key=onedic.get)
twomax = max(twodic, key=twodic.get)

onemax = sorted(onedic.items(), key = lambda x:x[1], reverse=True)
twomax = sorted(twodic.items(), key = lambda x:x[1], reverse=True)

ans = 0
if onemax[0][0] != twomax[0][0]:
    ans = n - onemax[0][1] - twomax[0][1]
else:
    ans = min(n - onemax[0][1] - twomax[1][1], n - onemax[1][1] - twomax[0][1])

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

N, M = map(int, input().split())
p = list()
y = list()
d = dict()
for i in range(M):
    inp_p, inp_y = map(int, input().split())
    p.append(inp_p)
    y.append(inp_y)
    if inp_p in d:
        d[inp_p].append(inp_y)
    else:
        d[inp_p] = [inp_y]
# for i in d:
#     d[i] = sorted(d[i])
for i, j in zip(p, y):
    d[i] = sorted(d[i])
    print("{:06d}{:06d}".format(i, d[i].index(j)+1))

### FIXED CODE ###

N, M = map(int, input().split())
p = [[] for i in range(M)]
counter = [0] * N
ans = [""] * M

for i in range(M):
    k, y = map(int, input().split())
    p[i] = [k, y, i]

p.sort(key=lambda x:x[1])
for k, y, i in p:
    counter[k-1] += 1
    ans[i] = "{:06d}{:06d}".format(k, counter[k-1])

for i in ans:
    print(i)
### BUGGY CODE ###

import sys, bisect, math, itertools, string, queue, copy
import numpy as np
import scipy
from collections import Counter,defaultdict,deque
from itertools import permutations, combinations
from heapq import heappop, heappush
from fractions import gcd
import functools
input = sys.stdin.readline
sys.setrecursionlimit(10**8)
mod = 10**9+7
def inp(): return int(input())
def inpm(): return map(int,input().split())
def inpl(): return list(map(int, input().split()))
def inpls(): return list(input().split())
def inplm(n): return list(int(input()) for _ in range(n))
def inplL(n): return [list(input()) for _ in range(n)]
def inplT(n): return [tuple(input()) for _ in range(n)]
def inpll(n): return [list(map(int, input().split())) for _ in range(n)]
def inplls(n): return sorted([list(map(int, input().split())) for _ in range(n)])
def euclid(a, b):
    if b == 0:
        return a
    else:
        return euclid(b, a%b)
k = inp()
ans = 0
for a in range(1,k+1):
    for b in range(1,k+1):
        for c in range(1,k+1):
            ans += functools.reduce(euclid,[a,b,c])

print(ans)

### FIXED CODE ###

import sys, bisect, math, itertools, string, queue, copy
# import numpy as np
# import scipy
# from collections import Counter,defaultdict,deque
# from itertools import permutations, combinations
# from heapq import heappop, heappush
# from fractions import gcd
import functools
input = sys.stdin.readline
sys.setrecursionlimit(10**8)
mod = 10**9+7
def inp(): return int(input())
def inpm(): return map(int,input().split())
def inpl(): return list(map(int, input().split()))
def inpls(): return list(input().split())
def inplm(n): return list(int(input()) for _ in range(n))
def inplL(n): return [list(input()) for _ in range(n)]
def inplT(n): return [tuple(input()) for _ in range(n)]
def inpll(n): return [list(map(int, input().split())) for _ in range(n)]
def inplls(n): return sorted([list(map(int, input().split())) for _ in range(n)])
def euclid(a, b):
    if b == 0:
        return a
    else:
        return euclid(b, a%b)
k = inp()
ans = 0
for a in range(1,k+1):
    for b in range(1,k+1):
        for c in range(1,k+1):
            ans += functools.reduce(euclid,[a,b,c])

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

n, m = map(int, input().split())
a = list(map(int, input().split()))
for i in range(m):
    a.sort()
    a[-1] = a[-1] // 2
print(sum(a))


### FIXED CODE ###

import heapq
n, m = map(int, input().split())
a = list(map(lambda x: int(x) * -1, input().split()))
heapq.heapify(a)
for _ in range(m):
    tmp = (heapq.heappop(a) * (-1)) // 2
    heapq.heappush(a, -tmp)
print(sum(a) * -1)
### BUGGY CODE ###

n, k = (int(x) for x in input().split())
p = [int(x) for x in input().split()]
p_sum = [sum(p[i:i+k]) for i in range(len(p)-k+1)]
idx = p_sum.index(max(p_sum))
ans = 0
for p_i in p[idx:idx+k]:
    ans += ((p_i*(p_i+1))/2) / p_i
print(ans)

### FIXED CODE ###

n, k = (int(x) for x in input().split())
p = [int(x) / 2 + 0.5 for x in input().split()]
ans_i = ans = sum(p[:k])
i = 0
while i < n - k:
    ans_i = ans_i - p[i] + p[i+k]
    ans = max(ans, ans_i)
    i += 1
print(ans)