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

from collections import Counter
import numpy as np

A,B = map(int, input().split())
if A != 0:
    A = A-1
ans = 0
total_10 = 0

AA = []
BB = []

for i in range(1,40):

    if int((A % 2**(i+1))/2) in [2**(i+1) - m for m in range(1,2**(i-1)+1)]:
        AA.append(1)
    else:
        AA.append(0)

    if int((B % 2**(i+1))/2) in [2**(i+1) - m for m in range(1,2**(i-1)+1)]:
        BB.append(1)
    else:
        BB.append(0)

AA = AA[::-1]
BB = BB[::-1]

if A % 4 in [1,2]:
    AA.append(1)
else:
    AA.append(0)

if B % 4 in [1,2]:
    BB.append(1)
else:
    BB.append(0)

ans_a = "".join(list(map(str,AA)))
ans_b = "".join(list(map(str,BB)))

print(ans_a)
print(ans_b)

ans_a = int(ans_a,2)
ans_b = int(ans_b,2)

print(ans_a^ans_b)

### FIXED CODE ###

from collections import Counter
import numpy as np

A,B = map(int, input().split())
if A != 0:
    A = A-1

def ruiseki_XOR(N):
    if (N+1) % 2 == 0:
        if ((N+1)//2) % 2 == 0:
            return 0
        else:
            return 1
    else:
        if ((N+1)//2) % 2 == 0:
            return N
        else:
            return 1^N


a = ruiseki_XOR(A)
b = ruiseki_XOR(B)

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

n, m, k = map(int, input().split())

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


for i in range(n + 1):
    cnt = sum(a[:i])
    if cnt > k:
        ans = max(ans, i - 1)
        break
    for j in range(m):
        cnt += b[j]
        if cnt > k:
            ans = max(ans, i + j)
            break
    else:
        ans = max(ans, i + j + 1)
print(ans)

### FIXED CODE ###

n, m, k = map(int, input().split())

A = list(map(int, input().split()))
B = list(map(int, input().split()))
ans = 0

a = [0]
b = [0]

for i in range(n):
    a.append(a[i] + A[i])

for i in range(m):
    b.append(b[i] + B[i])

j = m

for i in range(n + 1):
    if a[i] > k:
        break
    while a[i] + b[j] > k:
        j -= 1
    else:
        ans = max(ans, i + j)
print(ans)
### BUGGY CODE ###

def main():
  N,K,C=map(int,input().split())
  S=input()
  L=[]
  R=[]
  n=0
  rc=0
  lc=0
  while True:
    if lc==K:
      break
    if S[n]=="o":
      L+=[n+1]
      n+=C+1
      lc+=1
    else:
      n+=1
  n=N-1
  while True:
    if rc==K:
      break
    if S[n]=="o":
      R=[n+1]+R
      n-=C+1
      rc+=1
    else:
      n-=1
  for i in range(K):
    if R[i]==L[i]:
      print(R[i])
if __name__ == '__main__':
  main()
  

### FIXED CODE ###

N,K,C=map(int,input().split())
S=input()
L=[0 for i in range(K)]
R=[0 for i in range(K)]
n=0
rc=0
lc=0
while True:
  if lc==K:
    break
  if S[n]=="o":
    L[lc]=n+1
    n+=C+1
    lc+=1
  else:
    n+=1
n=N-1
while True:
  if rc==K:
    break
  if S[n]=="o":
    R[K-1-rc]=n+1
    n-=C+1
    rc+=1
  else:
    n-=1
for i in range(K):
  if R[i]==L[i]:
    print(R[i])
### BUGGY CODE ###

lr=input().split()
l=int(lr[0])
r=int(lr[1])

mod=2018
for i in range(r-l):
    x=r-l-i
    for j in range(x):
        a=(l+j)*(r-i)
        b=a%2019
        if b<mod:
            mod=b


print(mod)


### FIXED CODE ###

lr=input().split()
l=int(lr[0])
r=int(lr[1])

mod=2018
for i in range(r-l):
    x=r-l-i
    if mod==0:
        break
    for j in range(x):
        if (l+j)%2019==0 or (r-i)%2019==0:
            mod=0
            break
        else:
            a=(l+j)*(r-i)
            b=a%2019
            if b<mod:
                mod=b

print(mod)
### BUGGY CODE ###

N = int(input())
print(0, flush=True)
t = input()
if t == 'Vacant':
    exit()
print(N - 1, flush=True)
l = input()
if l == 'Vacant':
    exit()

top = N - 1
lo = 0
while top - lo > 1:
    mid = (top + lo) // 2
    print(mid, flush=True)
    tmp = input()
    if tmp == 'Vacant':
        exit()
    elif (tmp % 2 == 0 and l == tmp) or (tmp % 2 != 0 and l != tmp):
        top = mid
        t = tmp
    else:
        lo = mid
        l = tmp


### FIXED CODE ###

N = int(input())
print(0, flush=True)
l = input()
if l == 'Vacant':
    exit()
print(N - 1, flush=True)
t = input()
if t == 'Vacant':
    exit()

top = N - 1
lo = 0
while True:
    mid = (top + lo) // 2
    print(mid, flush=True)
    tmp = input()
    if tmp == 'Vacant':
        exit()
    elif ((mid - lo) % 2 != 0 and l == tmp) or ((mid - lo) % 2 == 0 and l != tmp):
        top = mid
    else:
        lo = mid
        l = tmp
### BUGGY CODE ###

import math

h,n=map(int,input().split())
a=[0]*n
b=[0]*n
for i in range(n):
    a[i],b[i]=list(map(int,input().split()))


dp=[[b[0]] * (h+2) for i in range(n+2)]
for j in range(h+2):
    dp[0][j]=math.ceil(j/a[0])*b[0]
for i in range(n):
    for j in range(h+1):
        if j<a[i]: dp[i+1][j]=min(dp[i][j],b[i])
        else:dp[i+1][j]=min(dp[i][j],dp[i+1][j-a[i]]+b[i])
print(dp[n][h])

### FIXED CODE ###

import math
 
h,n=map(int,input().split())
a=[0]*n
b=[0]*n
for i in range(n):
    a[i],b[i]=list(map(int,input().split()))
 
 
dp=[[b[0]] * (h+1) for i in range(n+1)]
for j in range(h+1):
    dp[0][j]=math.ceil(j/a[0])*b[0]
for i in range(n):
    for j in range(h+1):
        if j<a[i]: dp[i+1][j]=min(dp[i][j],b[i])
        else:dp[i+1][j]=min(dp[i][j],dp[i+1][j-a[i]]+b[i])
print(dp[n][h])
### BUGGY CODE ###

def insertion_sort(a, n, g):
    count = 0
    for i in range(g, n):
        for j in range(i, g-1, -g):
            if a[j-g] > a[j]:
                a[j-g], a[j] = a[j], a[j-g]
                count += 1

    return a, count


if __name__ == "__main__":
    import sys
    n = int(input())
    a = list(map(int, sys.stdin))
    count = 0

    G = [1]
    while n > 3*G[-1] + 1:
        G.append(3*G[-1] + 1)

    for g in G[::-1]:
        a, cnt = insertion_sort(a, n, g)
        count += cnt

    print(len(G))
    print(*G[::-1])
    print(count)
    print(*a, sep="\n")


### FIXED CODE ###

def shellsort(a):
    l = len(a)
    gaps = [1]
    while gaps[0]*3+1 < (l/9 if l>100 else l) and len(gaps) <= 100:
        gaps.insert(0, gaps[0]*3+1)
    count = 0
    for g in gaps:
        for i in range(g, l):
            v = a[i]
            j = i-g
            while j >= 0 and v < a[j]:
                a[j+g] = a[j]
                j -= g
                count += 1
            a[j+g] = v

    print(len(gaps))
    print(" ".join([str(n) for n in gaps]))
    print(count)
    print("\n".join([str(n) for n in a]))

shellsort([int(input()) for _ in [None]*(int(input()))])
### BUGGY CODE ###

#!/usr/bin/env python3
def main():
    n, m = map(int, input().split())

    w, v = [0] * n, [0] * n
    for i in range(n):
        w[i], v[i] = map(int, input().split())

    dp = [0] * (m + 1)
    for j in range(w[0], m + 1):
        dp[j] = v[0]

    for i in range(n - 1):
        vi = v[i+1]
        wi = w[i + 1]
        for j in reversed(range(w[i + 1],m + 1)):
            dp[j] = max(vi + dp[j - wi], dp[j])

    print(dp[-1])
main()

### FIXED CODE ###

#!/usr/bin/env python3
import sys, os
range = xrange

def main():
    inp = [int(x) for x in os.read(0, os.fstat(0).st_size).split()]
    n, m = inp[0],inp[1]

    w, v = inp[2::2], inp[3::2]

    dp = [0] * (m + 1)
    for j in range(w[0], m + 1):
        dp[j] = v[0]

    for i in range(n - 1):
        vi = v[i + 1]
        wi = w[i + 1]
        for j in reversed(range(wi, m + 1)):
            dp[j] = max(vi + dp[j - wi], dp[j])

    print(dp[-1])
main()
### BUGGY CODE ###

import math
import decimal


def main():

    N = int(input())
    ans = 0
    pn = [2]
    A = int(math.ceil(N**0.5)+1)

    if N >= 3:
        for L in range(3, A):
            chk = True
            for L2 in pn:
                if L % L2 == 0:
                    chk = False
            if chk == True:
                pn.append(L)
    elif N == 2:
        print(1)
        return
    else:
        print(0)
        return

    for i in pn:
        d = i
        while(True):
            if N % d == 0:
                N /= d
                ans += 1
                d *= i
            else:
                break

    print(ans)


if __name__ == '__main__':
    main()


### FIXED CODE ###

import math
import decimal


def main():

    N = int(input())
    ans = 0
    A = int(math.ceil(N**0.5)+1)
    explist = []
    flag = False
    if N >= 3:
        for L in range(2, A):
            if N < L:
                break
            d = L
            cnt = 0
            while(True):
                if N % d == 0:
                    N /= d
                    cnt += 1
                    flag = True
                else:
                    break
            explist.append([d, cnt])
        for i in explist:
            c = i[1]
            for j in range(1, A):
                if c >= j:
                    ans += 1
                    c -= j
                else:
                    break
        if N >= A:
            ans += 1
        if flag:
            print(ans)
            return
        else:
            print(1)
            return
    elif N == 2:
        print(1)
        return
    else:
        print(0)
        return


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

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

m = max(Alist)
for i in range(N):
    if Alist[i]==m:
        print(max(Alist[:i] + Alist[i+1:]))
    else:
        print(m)


### FIXED CODE ###

N = int(input())
Alist = [int(input()) for _ in range(N)]
Alist_sorted = sorted(Alist)

m = max(Alist)
for i in range(N):
    if Alist[i]==m:
        print(Alist_sorted[-2])
    else:
        print(m)
### BUGGY CODE ###

from collections import deque


def main():
    """
    ゲームの開始時点ではマス (1,1)
    上下左右の 4 方向のいずれかに 1 マスだけ動かすことを繰り返す
    白いマスだけを通って (H,W) にたどり着けばゲームクリア

    マス (i,j) 最初
    白で塗られている場合 .
    黒で塗られている場合 #

    いくつかの白いマス目の色を黒に変えることができる
    ただし, マス (1,1) と (H,W) の色を変えることはできず
    -> ルートの変更は不可能

    ゲームをクリアしたとき, ゲームの開始前にマスの色を変えた回数がすぬけ君のスコアとなる
    最大のスコアを求めなさい
    → 最短距離を求め,必要ない白マスを黒に変えれば高スコア(BFS?)
    → 経路を覚えておかないといけない
    """
    H, W = map(int, input().split())
    S = [
        input()
        for _ in range(H)
    ]

    bfs(S, H, W)


def bfs(S, H, W):
    if S[0][0] == "#":
        print(-1)
        return

    n_pos = [(0, 1), (1, 0)]
    # 距離を追加, 経路情報は必要ない
    q = deque([(0, 1, 1), (1, 0, 1)])
    visited = [
        [False] * W
        for _ in range(H)
    ]
    visited[0][0] = True

    goal = False
    dist = 0
    while q:
        x, y, dist = q.pop()
        visited[y][x] = True
        if S[y][x] == "#":
            continue

        if (x, y) == (W-1, H-1):
            goal = True
            break

        for dx in (-1, 1):
            nx = x+dx
            if 0 <= nx < W:
                if not visited[y][nx]:
                    q.appendleft((nx, y, dist+1))
        for dy in (-1, 1):
            ny = y+dy
            if 0 <= ny < H:
                if not visited[ny][x]:
                    q.appendleft((x, ny, dist+1))

    if goal:
        w_count = 0
        for s in S:
            w_count += s.count(".")
        # startは通ってないので距離に含まれない
        print(w_count - dist - 1)
    else:
        print(-1)


if __name__ == '__main__':
    main()


### FIXED CODE ###

from collections import deque


def main():
    """
    ゲームの開始時点ではマス (1,1)
    上下左右の 4 方向のいずれかに 1 マスだけ動かすことを繰り返す
    白いマスだけを通って (H,W) にたどり着けばゲームクリア

    マス (i,j) 最初
    白で塗られている場合 .
    黒で塗られている場合 #

    いくつかの白いマス目の色を黒に変えることができる
    ただし, マス (1,1) と (H,W) の色を変えることはできず
    -> ルートの変更は不可能

    ゲームをクリアしたとき, ゲームの開始前にマスの色を変えた回数がすぬけ君のスコアとなる
    最大のスコアを求めなさい
    → 最短距離を求め,必要ない白マスを黒に変えれば高スコア(BFS?)
    → 経路を覚えておかないといけない
    """
    H, W = map(int, input().split())
    S = [
        input()
        for _ in range(H)
    ]

    bfs(S, H, W)


def bfs(S, H, W):
    # 距離を追加, 経路情報は必要ない
    q = deque([(0, 0, 0)])
    visited = [
        [False] * W
        for _ in range(H)
    ]
    visited[0][0] = True

    goal = False
    dist = 0
    while q:
        x, y, dist = q.popleft()
        if (x, y) == (W-1, H-1):
            goal = True
            break

        for dx in (-1, 1):
            nx = x+dx
            if 0 <= nx < W:
                if S[y][nx] == "." and not visited[y][nx]:
                    q.append((nx, y, dist+1))
                    visited[y][nx] = True
        for dy in (-1, 1):
            ny = y+dy
            if 0 <= ny < H:
                if S[ny][x] == "." and not visited[ny][x]:
                    q.append((x, ny, dist+1))
                    visited[ny][x] = True

    if goal:
        w_count = 0
        for s in S:
            w_count += s.count(".")
        # startは通ってないので距離に含まれない
        print(w_count - dist - 1)
    else:
        print(-1)


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

n = int(input())
s = input()

cnt = 0
for i in range(n - 2):
    for j in range(i + 1,n - 1):
        for k in range(j + 1,n):
            if j - i == k - j:
                continue
            if s[i] != s[j] and s[j] != s[k] and s[k] != s[i]:
                cnt += 1
                
print(cnt)

### FIXED CODE ###

n = int(input())
s = input()

cnt = 0
for i in range(n):
    for j in range(1, (n - 1) // 2 + 1):
        if n - 1 < i + 2 * j:
            break
        
        if s[i] != s[i + j] and s[i + j] != s[i + 2 * j] and s[i + 2 * j] != s[i]:
            cnt += 1
            continue
        
ans = [0] * 3
for word in s:
    if word == 'R':
        ans[0] += 1
    elif word == 'G':
        ans[1] += 1
    else:
        ans[2] += 1

ans_sum = ans[0] * ans[1] * ans[2]
print(ans_sum - cnt)
### BUGGY CODE ###

n, *x = map(int, open(0).read().split())
y = sorted(x)[::-1]
cnt = 0
for i in range(n - 2):
    a = y[i]
    for j in range(i + 1, n - 1):
        b = y[j]
        for k in range(j + 1, n):
            c = y[k]
            if a < b + c:
                cnt += 1
            else:
                break
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]
        b = L[j]
        v = bisect.bisect_left(L, a + b)
        cnt += v - j - 1
print(cnt)
### BUGGY CODE ###

import collections as col

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

L= len(set(A))
A = col.Counter(A)
ans = 0

if L <= K:
    print(0)
    
else:
    for i in range(1,L-K+1):
        ans += A.most_common()[-i][1]
    print(ans)

### FIXED CODE ###

import collections as col

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

L= len(set(A))
A = col.Counter(A)

Aval = A.values()
Aval = sorted(Aval)

ans = 0

if L <= K:
    print(0)
    
else:
    for i in range(L-K):
        ans += Aval[i]
    print(ans)
### BUGGY CODE ###

import numpy as np

h,w,d=map(int,input().split())

board=np.zeros([h,w],int)

for i in range(h):
    board[i]=list(map(int,input().split()))

q=int(input())

distances=[-1 for _ in range(h*w)]

for _ in range(q):
    l,r=map(int,input().split())

    i,j=np.where(board==1)
    x,y=np.where(board==7)


    res=0
    while(l!=r):
        if distances[l]==-1:
            i,j=np.where(board==l)
            x,y=np.where(board==(l+d))
            distances[l]=abs(i[0]-x[0])+abs(j[0]-y[0])
        res+=distances[l]
        l+=d
    print(res)

### FIXED CODE ###

h,w,d=map(int,input().split())

pos=[(0,0) for _ in range(h*w)]

for i in range(h):
    for j,a in enumerate(input().split()):
        pos[int(a)-1]=(i,j)

q=int(input())


distances=[0 for _ in range(h*w)]

for i in range(d,h*w):
    a=h*w-i
    i,j=pos[a-1]
    x,y=pos[a+d-1]
    distances[a-1]=distances[a+d-1]+abs(i-x)+abs(j-y)

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

n = int(input())
a = list(map(int, input().split()))
ans = 0
for i in list(set(a)):
  if a.count(i) > i:
    ans += a.count(i) - i
  if a.count(i) < i:
    ans += a.count(i)
print(ans)

### FIXED CODE ###

from collections import Counter
n = int(input())
a = list(map(int, input().split()))
b = Counter(a)
ans = 0
for i in set(a):
    if b[i] < i:
        ans += b[i]
    else:
        ans += b[i]-i
print(ans)
### BUGGY CODE ###

S = str(input())
Q = int(input())
query = [ input().split() for _ in range(Q) ]

tag = False

for i in range(Q):
    if query[i][0] == str(1):
        if tag == False:
            tag = True
        else:
            tag = False
    elif query[i][0] == str(2):
        if query[i][1] == str(1):
            if tag == False:
                S = query[i][2] + S
            else:
                S = S + query[i][2]
        else:
            if tag == False:
                S = S + query[i][2]
            else:
                S = query[i][2] + S
if tag == True:
    S = S[::-1]
print(S)


### FIXED CODE ###

from collections import deque
S = str(input())
Q = int(input())
query = [ input().split() for _ in range(Q) ]

tag = False
que = deque([S])

for i in range(Q):
    if query[i][0] == str(1):
        if tag == False:
            tag = True
        else:
            tag = False
    elif query[i][0] == str(2):
        if query[i][1] == str(1):
            if tag == False:
                que.appendleft(query[i][2])
            else:
                que.append(query[i][2])
        else:
            if tag == False:
                que.append(query[i][2])
            else:
                que.appendleft(query[i][2])
ans = "".join(que)
if tag == True:
    ans = ans[::-1]
print(ans)
### BUGGY CODE ###

def main():

    n, m = map(int, input().split())
    a = list(map(int, input().split()))
    total = 0
    for _ in range(m):
        mx = max(a)
        a[a.index(mx)] //= 2
    for i in range(n):
        total += a[i]
    print(total)

if __name__ == "__main__":
    main()

### FIXED CODE ###

import heapq

def main():

    n, m = map(int, input().split())
    a = list(map(lambda x: int(x) * (-1), input().split()))
    heapq.heapify(a)
    sum = 0

    for _ in range(m):
        mn = heapq.heappop(a)
        heapq.heappush(a, (-1) * (-mn // 2))

    for i in range(n):
        sum += a[i]

    print(-sum)

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

a=[int(i) for i in input().split()]
b=[int(i) for i in input().split()]
if a[1]>=len(b):
    print(0)
else:
    c=[]
    for i in range(a[0]-a[1]):
        c.append(min(b))
        b.remove(min(b))
    print(sum(c))

### FIXED CODE ###

a=[int(i) for i in input().split()]
b=[int(i) for i in input().split()]
if a[1]>=a[0]:
    print(0)
else:
    print(sum(sorted(b)[:a[0]-a[1]]))
### BUGGY CODE ###

n=int(input())
print(0)
z=input()[0]
if z=="V":
    exit()
def f(i):
    print(i)
    s=input()[0]
    if s=="V":
        exit()
    if i%2==0:
        if s==z:
            return False
        else:
            return True
    else:
        if s==z:
            return True
        else:
            return False

left=0
right=n-1
while right-left>1:
    mid=(left+right)//2
    if f(mid):
        right=mid   #ここがleftならansもleft。
    else:
        left=mid

### FIXED CODE ###

n=int(input())
print(0)
z=input()[0]
if z=="V":
    exit()
def f(i):
    print(i)
    s=input()[0]
    if s=="V":
        exit()
    if i%2==0:
        if s==z:
            return False
        else:
            return True
    else:
        if s==z:
            return True
        else:
            return False
f(n-1)
left=0
right=n-1
while right-left>1:
    mid=(left+right)//2
    if f(mid):
        right=mid   #ここがleftならansもleft。
    else:
        left=mid
exit()
### BUGGY CODE ###

from itertools import combinations_with_replacement
n,m,q=map(int,input().split())
l=list(combinations_with_replacement(range(1,m+1),n))

res=0
lt=[list(map(int,input().split())) for _ in range(q)]

for j in range(len(l)):
    tmp=0
    for i in range(len(lt)):
        a,b,c,d = lt[i][0],lt[i][1],lt[i][2],lt[i][3]
        if l[j][b-1]-l[j][a-1] == c:
            tmp += d
    res=max(tmp,res)

print(res)


### FIXED CODE ###

from itertools import combinations_with_replacement
n,m,q=map(int,input().split())
l=list(combinations_with_replacement(range(1,m+1),n))

res=0
lt=[list(map(int,input().split())) for _ in range(q)]

for j in range(len(l)):
    tmp=0
    for i in range(len(lt)):
        a,b,c,d = lt[i][0],lt[i][1],lt[i][2],lt[i][3]
        if l[j][b-1]-l[j][a-1] == c:
            tmp += d
    res=max(tmp,res)

print(res)
### BUGGY CODE ###

N,C = map(int,input().split())
D = []
for i in range(C):
    D.append(list(map(int,input().split())))
G = []
for i in range(N):
    G.append(list(map(int,input().split())))

X = [[] for i in range(3)]
for i in range(N):
    for j in range(N):
        X[(i+j+2)%3].append(G[i][j])
ans = float('inf')
for c1 in range(C):
    for c2 in range(C):
        if c1 == c2:
            continue
        for c3 in range(C):
            if c1 == c3 or c2 == c3:
                continue
            cost = 0
            for i,x in enumerate(X):
                for e in x:
                    if i == 0:
                        cost += D[e-1][c1]
                    elif i == 1:
                        cost += D[e-1][c2]
                    else:
                        cost += D[e-1][c3]
            ans = min(cost,ans)
print(ans)



### FIXED CODE ###

N,C = map(int,input().split())
D = []
for i in range(C):
    D.append(list(map(int,input().split())))
G = []
for i in range(N):
    G.append(list(map(int,input().split())))

X = [[] for i in range(3)]
for i in range(N):
    for j in range(N):
        X[(i+j+2)%3].append(G[i][j])
ans = float('inf')

Costs = [[0 for i in range(C)] for j in range(3)]

for c in range(C):
    for i in range(3):
        for e in X[i]:
            Costs[i][c] += D[e-1][c]

for c1 in range(C):
    for c2 in range(C):
        if c1 == c2:
            continue
        for c3 in range(C):
            if c1 == c3 or c2 == c3:
                continue
            cost = 0
            for i,e in enumerate([c1,c2,c3]):
                cost += Costs[i][e]
            ans = min(cost,ans)
print(ans)
### BUGGY CODE ###

import itertools
from collections import deque,defaultdict,Counter
from itertools import accumulate
import bisect
from heapq import heappop,heappush,heapify
from fractions import gcd
from copy import deepcopy
import math
import queue
import numpy as np
#import sympy as syp(素因数分解とか)
Mod = 1000000007
import sys
sys.setrecursionlimit(100000) 
  
def sieve_of_eratosthenes(n):
    if not isinstance(n,int):
        raise TypeError("n is not int")
    if n<2:
        raise ValueError("n is not effective")
    prime = [1]*(n+1)
    for i in range(2,int(math.sqrt(n))+1):
        if prime[i] == 1:
            for j in range(2*i,n+1):
                if j%i == 0:
                    prime[j] = 0
    res = []
    for i in range(2,n+1):
        if prime[i] == 1:
            res.append(i)
    return res

 
class UnionFind:
    def __init__(self,n):
        self.parent = [i for i in range(n+1)]
        self.rank = [0 for i in range(n+1)]
    
    def findroot(self,x):
        if x == self.parent[x]:
            return x
        else:
            y = self.parent[x]
            y = self.findroot(self.parent[x])
            return y
    
    def union(self,x,y):
        px = self.findroot(x)
        py = self.findroot(y)
        if px < py:
            self.parent[py] = px
        else:
            self.parent[px] = py
 
    def same_group_or_no(self,x,y):
        return self.findroot(x) == self.findroot(y)

def main(): #startline-------------------------------------------
    k = int(input())
    ans = 0
    l = [i for i in range(1,k+1)]
    p_list = list(itertools.combinations_with_replacement(l,3))
    for i in p_list:
        ans += gcd(gcd(i[0],i[1]),i[2])*(6//math.factorial((4-len(set(i)))))
    print(ans)
if __name__ == "__main__":
    main() #endline===============================================

### FIXED CODE ###

from math import gcd
def main(): #startline-------------------------------------------
    k = int(input())
    ans = 0
    for i in range(1,k+1):
        for j in range(1,k+1):
            for l in range(1,k+1):
                ans += gcd(gcd(i,j),l)

    print(ans)
if __name__ == "__main__":
    main() #endline===============================================