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

import math
import copy

def nCast(number):
    if type(number)==str:
        return int(number)
    for idx in range(0,len(number)):
        if type(number[idx])==str:

            number[idx]=int(number[idx])
        else:
            nCast(number[idx])
    return number
    
def inputArr(w):
    l=list()
    for idx in range(0,w):
        l.append(input())
    return l
def inputArr1(w):
    l=list()
    for idx in range(0,w):
        l.append(input().split())
    return l

n=nCast(input())
a=nCast(inputArr1(n))
b=copy.deepcopy(a)

def akey(a):
    return a[0],a[1]
def bkey(a):
    return a[1],a[0]
list.sort(a,key=akey,reverse=True)
list.sort(b,key=bkey,reverse=True)

da=dict()
db=dict()
def f(a):

    return str(a[0]).zfill(20)+str(a[1]).zfill(10)
for idx in range(0,len(a)):
    if f(a[idx]) not in da:
        da[f(a[idx])]=1
    else:
        da[f(a[idx])]+=1
for idx in range(0,len(b)):
    if f(b[idx]) not in db:
        db[f(b[idx])]=1
    else:
        db[f(b[idx])]+=1

def func(a,b):
    pa,pb=0,0
    tag=True
    ida,idb=0,0
    while ida<len(a) and idb<len(b):
        if da[f(a[ida])]==0:
            ida+=1
            continue
        if db[f(b[idb])]==0:
            idb+=1
            continue
        if a[ida]==b[idb] :
            tmp=a[ida]
        else:
            v1=a[0][0]-b[0][1]
            v2=b[0][0]-b[1][1]
            if v1>v2:
                tmp=a[ida]
            else:
                tmp=b[idb]
        if tag:
            pa+=tmp[0]
        else:
            pb+=tmp[1]
        ida+=1
        idb+=1
        da[f(tmp)]-=1
        db[f(tmp)]-=1
        tag=not tag
        a,b,ida,idb=b,a,idb,ida
        
    return pa-pb
    
print(func(a,b)) 







### FIXED CODE ###

import math
import copy

def nCast(number):
    if type(number)==str:
        return int(number)
    for idx in range(0,len(number)):
        if type(number[idx])==str:

            number[idx]=int(number[idx])
        else:
            nCast(number[idx])
    return number
    
def inputArr(w):
    l=list()
    for idx in range(0,w):
        l.append(input())
    return l
def inputArr1(w):
    l=list()
    for idx in range(0,w):
        l.append(input().split())
    return l

n=nCast(input())
a=nCast(inputArr1(n))

def akey(a):
    return a[0]+a[1]
list.sort(a,key=akey,reverse=True)


def func(a):
    pa,pb=0,0
    tag=True
    for idx in range(0,len(a)):
        if tag:
            pa+=a[idx][0]
        else:
            pb+=a[idx][1]
        tag=not tag
    return pa-pb
    
print(func(a))
### BUGGY CODE ###

from collections import deque

class Node:
    def __init__(self, idx):
        self.idx = idx
        self.a = []


n, x, y = map(int, input().split())
nodes = []

for i in range(n):
    node = Node(i+1)
    nodes.append(node)

for i in range(n-1):
    cur = nodes[i]
    next = nodes[i+1]

    cur.a.append(next)
    next.a.append(cur)

X = nodes[x-1]
Y = nodes[y-1]
X.a.append(Y)
Y.a.append(X)

for k in range(1, n):
    temp = 0
    for i in range(n):
        node = nodes[i]
        q = deque()
        q.append((node, 0))
        done = set()

        while q:
            t = q.popleft()
            node, d = t[0], t[1]

            if node.idx not in done:
                done.add(node.idx)
                if d == k:
                    temp += 1
                for adj in node.a:
                    q.append((adj, d+1))
    print(temp//2)


### FIXED CODE ###

from collections import deque

class Node:
    def __init__(self, idx):
        self.idx = idx
        self.a = []


n, x, y = map(int, input().split())
nodes = []

for i in range(n):
    node = Node(i+1)
    nodes.append(node)

for i in range(n-1):
    cur = nodes[i]
    next = nodes[i+1]

    cur.a.append(next)
    next.a.append(cur)

X = nodes[x-1]
Y = nodes[y-1]
X.a.append(Y)
Y.a.append(X)
dp = [[None] * (n+1) for _ in range(n+1)]

for i in range(n):
    node = nodes[i]
    q = deque()
    q.append((node, 0))
    done = set()

    while q:
        t = q.popleft()
        node, d = t[0], t[1]

        if node.idx not in done:
            dp[i + 1][node.idx] = d
            done.add(node.idx)
            for adj in node.a:
                q.append((adj, d + 1))

# for i in range(1, n+1):
#     print(dp[i])

m = {}

for i in range(1, n + 1):
    for j in range(1, n + 1):
        dis = dp[i][j]
        if dis in m:
            m[dis] += 1
        else:
            m[dis] = 1

for k in range(1, n):
    if k in m:
        print(m[k] // 2)
    else:
        print(0)
### BUGGY CODE ###

n = int(input())
A = sorted(((v, i) for i, v in enumerate(map(int, input().split()))))

ans = 0
for i in range(n):
    for j in range(i, n):
        hi, ki = A[i]
        hj, kj = A[j]
        if abs(kj - ki) == hi + hj:
            ans += 1
        if hi >= n:
            break
print(ans)

### FIXED CODE ###

from collections import defaultdict


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

L = defaultdict(int)
R = defaultdict(int)
for i, v in enumerate(A):
    L[i + v] += 1
    R[i - v] += 1
print(sum(L.get(i, 0) * R.get(i, 0) for i in range(n)))
### BUGGY CODE ###

n = int(input())
a = list(map(int,input().split()))
while min(a)!=1 and len(a)!=1:
    a = sorted(a)
    a = [i%min(a) for i in a[1:]]+[min(a)]
    a = [i for i in a if i!=0]
print(min(a))

### FIXED CODE ###

n = int(input())
a = list(map(int,input().split()))
def gcd(x,y):
    if x<y:
        x,y = y,x
    if y==0:
        return x
    if x%y==0:
        return y
    else:
        return gcd(y,x%y)
ans = a[0]
for i in a:
    ans = gcd(ans,i)
print(ans)
### BUGGY CODE ###

S = str(input())

ans = len(S)
for i in range(len(S)):
  if len(S) == len(S.replace("01","")) and len(S) == len(S.replace("10","")):
    break
  else:
    S = S.replace("01","")
    S = S.replace("10","")

print(ans-len(S))


### FIXED CODE ###

S = str(input())

count_0 = S.count("0")
count_1 = S.count("1")

ans = min(count_0 ,count_1) * 2
print(ans)
### BUGGY CODE ###

#!/usr/bin/python

import sys

def main(argv):
    for line in sys.stdin:
        k, s = line.rstrip("\n").split(" ")
        k = int(k)
        s = int(s)
        counter = 0
        for x in xrange(0, k + 1):
            for y in xrange(x, k + 1):
                for z in xrange(y, k + 1):
                    if (x+y+z) == s:
                        if x == y and y == z:
                            counter += 1
                        elif x == y or y == z or x == z:
                            counter += 3
                        else: 
                            counter += 6
        print counter

if __name__ == "__main__":
    main(sys.argv)

### FIXED CODE ###

#!/usr/bin/python

import sys

def main(argv):
    for line in sys.stdin:
        k, s = line.rstrip("\n").split(" ")
        k = int(k)
        s = int(s)
        counter = 0
        for x in xrange(0, k + 1):
            for y in xrange(x, k + 1):
                if x + y <= s:
                    z = s - x - y
                    if z >= y and z <= k:
                        if (x+y+z) == s:
                            if x == y and y == z:
                                counter += 1
                            elif x == y or y == z or x == z:
                                counter += 3
                            else: 
                                counter += 6
        print counter

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

import functools
import operator
prod = functools.partial(functools.reduce, operator.mul)

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

# score = 1
# for i in range(K):
#     score *= A[i]
pre_score = prod(A[:K])
for i in range(K, N):
    score = prod(A[i-K+1:i+1])
    if score > pre_score:
        print('Yes')
    else:
        print('No')
    pre_score = score

### FIXED CODE ###

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

for i in range(K, N):
    if A[i] > A[i-K]:
        print('Yes')
    else:
        print('No')
### BUGGY CODE ###


N = int(input())
A = [list(map(int, input().split())) for _ in range(N)]


from collections import Counter

M = 10**9 + 7
cur = {0: 1}
for B in A:
    nxt = Counter()
    C = [1 << i for i, v in enumerate(B) if v == 1]
    for s, v in cur.items():
        for b in C:
            if (s & b) != 0:
                continue
            m = s | b
            nxt[m] += v
            nxt[m] %= M
    cur = nxt
print(cur[(1<<N) - 1])


### FIXED CODE ###


N = int(input())
A = [list(map(int, input().split())) for _ in range(N)]

from collections import Counter

M = 10**9 + 7
cur = [0] * (1<<N)
cur[0] = 1
for B in A:
    nxt = [0] * (1 << N)
    C = [1 << i for i, v in enumerate(B) if v == 1]
    for s, v in enumerate(cur):
        if v == 0:
            continue
        v %= M
        for b in C:
            if (s & b) != 0:
                continue
            nxt[s | b] += v
    cur = nxt
print(cur[(1<<N) - 1] % M)
### BUGGY CODE ###

#!/usr/bin/env python3

N = input()
cnt = 0

for n in N:
    cnt += int(N)
    cnt %= 9

if cnt % 9 == 0:
    print('Yes')
else:
    print('No')




### FIXED CODE ###

#!/usr/bin/env python3

N = input()
cnt = 0
for i in range(len(N)):
    cnt += int(N[i]) % 9

if cnt % 9 == 0:
    print('Yes')
else:
    print('No')
### BUGGY CODE ###

import math
ans = 0
K = int(input())
 
for i in range(1, K+1):
  for j in range(1,K+1):
    for k in range(1,K+1):
      ans = ans + math.gcd(math.gcd(i,j), k)
      
print(ans)

### FIXED CODE ###

from math import gcd
ans = 0
K = int(input())
 
for i in range(1, K+1):
  for j in range(1,K+1):
    for k in range(1,K+1):
      ans += gcd(gcd(i,j), k)
      
print(ans)
### BUGGY CODE ###

N = int(input())
if N == 1:
  print("0")
else:
  nums = [i for i in range(1,N)]
  print(sum(nums))


### FIXED CODE ###

N = int(input())
if N == 1:
  print("0")
else:
  ans = (N * (N-1))//2
  print(ans)
### BUGGY CODE ###

N = input().split(" ")
TL = int(N[0])
TA = int(N[1])
AL = int(N[2])
AA = int(N[3])
a = 0

while a == 0:
  AL = AL - TA
  if AL <= 0:
    a = 1
    break
  TA = TA - AA
  if TL <= 0:
    a = 2
    break
if a == 1:
  print("Yes")
elif a == 2:
  print("No")


### FIXED CODE ###

N = input().split(" ")
TL = int(N[0])
TA = int(N[1])
AL = int(N[2])
AA = int(N[3])
a = 0

while a == 0:
  AL = AL - TA
  if AL <= 0:
    a = 1
    break
  TL = TL - AA
  if TL <= 0:
    a = 2
    break
if a == 1:
  print("Yes")
elif a == 2:
  print("No")
### BUGGY CODE ###

import sys
import collections as col

def sinput(): return sys.stdin.readline().strip()
def iinput(): return int(sinput())
def imap(): return map(int, sinput().split())
def fmap(): return map(float, sinput().split())
def iarr(n=0):
    if n: return [0 for _ in range(n)]
    else: return list(imap())
def farr(): return list(fmap())
def sarr(n=0):
    if n: return ["" for _ in range(n)]
    else: return sinput().split()
def adj(n): return [[] for _ in range(n)]

n = iinput()
a = iarr()
amax = 10**6

# ふるって生き残ったやつがTrue
dp = [1 for i in range(amax+1)]
for num in a:
    for i in range(2, amax//num + 1): dp[num * i] = 0

# カウンター
cnt = [0 for i in range(amax+1)]
for num in a:
    cnt[num] += 1

# 生き残っていて、かつ、１回だけ登場するやつ
ans = 0
for num in a:
    if dp[num] and cnt[num]==1: ans += 1

print(ans)


### FIXED CODE ###

import numpy as np
import scipy.sparse as sps
import scipy.misc as spm
import collections as col
import functools as func
import itertools as ite
import fractions as frac
import math as ma
from math import cos,sin,tan,sqrt
import cmath as cma
import copy as cp
import sys
import re
sys.setrecursionlimit(10**7)
EPS = sys.float_info.epsilon
PI = np.pi; EXP = np.e; INF = np.inf
MOD = 10**9 + 7

def sinput(): return sys.stdin.readline().strip()
def iinput(): return int(sinput())
def imap(): return map(int, sinput().split())
def fmap(): return map(float, sinput().split())
def iarr(n=0):
    if n: return [0 for _ in range(n)]
    else: return list(imap())
def farr(): return list(fmap())
def sarr(n=0):
    if n: return ["" for _ in range(n)]
    else: return sinput().split()
def adj(n): return [[] for _ in range(n)]

n = iinput()
a = iarr()
amax = max(a)
#amax = 10**6

cnt = [0 for i in range(amax+1)]
for num in a:
    for i in range(1,amax//num + 1):
        tmp = num * i
        cnt[tmp] += 1

ans = 0
for num in a:
    if cnt[num]==1: ans += 1
print(ans)
### BUGGY CODE ###

from heapq import heappop,heappush
from math import ceil
from fractions import Fraction as F
n,k=map(int,input().split())
a=list(map(int,input().split()))
hq=[]
for x in a:
	heappush(hq,[-x,1])
for i in range(k):
	r=heappop(hq)
	heappush(hq,[F(r[0]*r[1],(r[1]+1)),r[1]+1])
ans=-heappop(hq)[0]
print(ceil(ans))

### FIXED CODE ###

n,k=map(int,input().split())
a=list(map(int,input().split()))
l=0
r=max(a)+1
while r-l>1:
	cnt=0
	mid=(l+r+1)//2
	if mid==0:
		print(1)
		exit()
	for x in a:
		if x>1:
			cnt+=(x-1)//mid
	if cnt<=k:
		r=mid
	else:
		l=mid
print(r)
### BUGGY CODE ###

from sys import stdin
N, M=map(int, input().split())


ACs=[]
WAs={}

AC=0
pena=0
readline = stdin.readline
for i in range(M):
  num, jud=readline().split()
  if num in ACs:
    continue
  elif jud=="WA":
    if num not in WAs.keys():
      WAs[num]=1
    else:
      WAs[num]+=1
  else:
    ACs.append(num)
    AC+=1
    if num in WAs.keys():
      pena+=WAs[num]

print(AC, pena)



### FIXED CODE ###

N, M=map(int, input().split())
import numpy as np

pena=np.array([0]*N)
status=np.array([0]*N)


for i in range(M):
  p,s=tuple(input().split())
  p=int(p)
  if s=="WA":
    if status[p-1]!=1:
      pena[p-1]+=1
  if s=="AC":
    if status[p-1]!=1:
      status[p-1]=1
nac=sum(status)
npena=sum(pena*status)
print(nac, npena)
### BUGGY CODE ###

import itertools

def f(x):
    return (max(x) - min(x))

def resolve():
    MOD = 10**9 + 7
    N, K = map(int, input().split())
    A = map(int, input().split())

    c_list = itertools.combinations(A, K)
    #print(c_list)

    fx = map(f, c_list)
    total = sum(fx)
    total = total % MOD
    print(total)

if __name__ == "__main__":
    resolve()

### FIXED CODE ###

import math
from functools import lru_cache
from operator import mul
from functools import reduce


def resolve():
    import sys
    input = sys.stdin.readline
    MOD = 10**9 + 7
    N, K = map(int, input().split())
    A = list(map(int, input().split()))

    A.sort()
    B = A[::-1]

    @lru_cache(maxsize=None)
    def combinations_count__(n, r):
        return math.factorial(n) // (math.factorial(n - r) * math.factorial(r))

    @lru_cache(maxsize=None)
    def combinations_count____(n, r):
        r = min(r, n - r)
        numer = reduce(mul, range(n, n - r, -1), 1)
        denom = reduce(mul, range(1, r + 1), 1)
        return numer // denom

    def combinations_count_(n, r):
        if n - r < r: r = n - r
        if r == 0: return 1
        if r == 1: return n

        numerator = [n - r + k + 1 for k in range(r)]
        denominator = [k + 1 for k in range(r)]

        for p in range(2,r+1):
            pivot = denominator[p - 1]
            if pivot > 1:
                offset = (n - r) % p
                for k in range(p-1,r,p):
                    numerator[k - offset] /= pivot
                    denominator[k] /= pivot

        result = 1
        for k in range(r):
            if numerator[k] > 1:
                result *= int(numerator[k])

        return result

    def modinv(a, mod=10**9+7):
        return pow(a, mod-2, mod)

    def combinations_count(n, r, mod=10**9+7):
        if (r < 0) or (n < r):
            return 0
        r = min(r, n-r)
        return fact[n] * factinv[r] * factinv[n-r] % mod
    
    fact = [1, 1]
    factinv = [1, 1]
    inv = [0, 1]
    for i in range(2, N + 1):
        fact.append((fact[-1] * i) % MOD)
        inv.append((-inv[MOD % i] * (MOD // i)) % MOD)
        factinv.append((factinv[-1] * inv[-1]) % MOD)

    sum = 0
    for i in range(K-1, N):
        sum += combinations_count(i, K-1) * A[i] % MOD - combinations_count(i, K-1) * B[i] % MOD

    print(sum % MOD)


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

# F - LCS
s=input()
t=input()
ns=len(s)
nt=len(t)
dp=[[0]*(nt+1) for i in range(ns+1)]

for i in range(ns):
    for j in range(nt):
        if s[i]==t[j]:
            dp[i+1][j+1]=max(dp[i+1][j+1],dp[i][j]+1)
        dp[i+1][j+1]=max(dp[i+1][j+1],dp[i+1][j])
        dp[i+1][j+1]=max(dp[i+1][j+1],dp[i][j+1])
ans=''
i,j=ns,nt
while i>0 and j>0:
    # (i-1, j) -> (i, j) と更新されていた場合
    if dp[i][j]==dp[i-1][j]:
        i-=1
    #  (i, j-1) -> (i, j) と更新されていた場合
    elif dp[i][j]==dp[i][j-1]:
        j-=1
    #  (i-1, j-1) -> (i, j) と更新されていた場合
    else:
        ans=s[i-1]+ans
        i-=1
        j-=1
print(ans)

### FIXED CODE ###

# F - LCS
s=input()
t=input()
ns=len(s)
nt=len(t)
dp=[[0]*(nt+1) for i in range(ns+1)]

for i in range(ns):
    for j in range(nt):
        if s[i]==t[j]:
            dp[i+1][j+1]=max(dp[i+1][j+1],dp[i][j]+1)
        dp[i+1][j+1]=max(dp[i+1][j+1],dp[i+1][j])
        dp[i+1][j+1]=max(dp[i+1][j+1],dp[i][j+1])
ans=''
i,j=ns,nt
while i>0 and j>0:
    # (i-1, j) -> (i, j) と更新されていた場合
    if dp[i][j]==dp[i-1][j]:
        i-=1
    #  (i, j-1) -> (i, j) と更新されていた場合
    elif dp[i][j]==dp[i][j-1]:
        j-=1
    #  (i-1, j-1) -> (i, j) と更新されていた場合
    else:
        ans=s[i-1]+ans
        i-=1
        j-=1
print(ans)
### BUGGY CODE ###

def gcd(a,b):
    if(a%b==0):
        return b
    else:
        return gcd(b,a%b)

sum = 0
k = int(input())
for i in range(1,k+1):
    for j in range(1,k+1):
        val = gcd(i,j)
        for k in range(1,k+1):
            sum = sum + gcd(val,k)

print(sum)

### FIXED CODE ###

def gcd(a,b):
    if(a%b==0):
        return b
    else:
        return gcd(b,a%b)
 
k = int(input())
val = [[0]*(k+1) for i in range(k+1)]
sum = 0
for i in range(1,k+1):
    for j in range(1,k+1):
        if(val[i][j] == 0):
            val[i][j] = gcd(i,j)
        for l in range(1,k+1):
            if(val[val[i][j]][l] == 0):
                val[val[i][j]][l] = gcd(val[i][j],l)
            sum = sum + val[val[i][j]][l]
 
print(sum)
### BUGGY CODE ###

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

to = [[] for _ in range(N)]
for _ in range(N - 1):
  a, b = map(int, input().split())
  a -= 1
  b -= 1
  to[a].append(b)
  to[b].append(a)

queue = [0]
parent = [[] for _ in range(N)]
while len(queue) > 0:
  q = queue.pop(0)
  for br in to[q]:
    to[br].remove(q)
    parent[br].append(q)
    queue.append(br)

cnt = [0 for _ in range(N)]
for _ in range(Q):
  p, x = map(int, input().split())
  p -= 1
  cnt[p] += x

queue = [0]
while len(queue) > 0:
  q = queue.pop(0)
  if q != 0:
    cnt[q] += cnt[parent[q][0]]
  for br in to[q]:
    queue.append(br)

for i in range(N):
  print(cnt[i], end = "")
  if i == N - 1:
    print()
  else:
    print(" ", end = "")

### FIXED CODE ###

from collections import deque
n, Q = map(int, input().split())
edges = [[] for _ in range(n+1)]
count = [0]*(n+1)
q = deque()
q.append((1, 0))

for _ in range(n-1):
    a, b = map(int, input().split())
    edges[a].append(b)
    edges[b].append(a)
for _ in range(Q):
    p, x = map(int, input().split())
    count[p] += x

while(q):
    k = q.popleft()
    count[k[0]] += count[k[1]]
    for i in edges[k[0]]:
        if not i == k[1]:
            q.append((i, k[0]))

print(*count[1:])
### BUGGY CODE ###

N = int(input())

ans = 0
for i in range(N):
    ans += i
print(ans)


### FIXED CODE ###

N = int(input())

ans = N * (N-1) // 2

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

H,W = map(int,input().split())
Ch,Cw = map(int,input().split())
Dh,Dw = map(int,input().split())
S = [list(input()) for i in range(H)]
 
res_S = [[-1]*W for i in range(H)]
dx = [1,-1,0,0]
ddx = [-2,-1,0,1,2,-2,-1,1,2,-2,2,-2,-1,1,2,-2,-1,0,1,2]
dy = [0,0,1,-1]
ddy = [-2,-2,-2,-2,-2,-1,-1,-1,-1,0,0,1,1,1,1,2,2,2,2,2]
count = 0
 
que = [(Ch,Cw)]
que_warp =[(Ch,Cw)]
res_S[Ch-1][Cw-1] = 0
 
while (que or que_warp):
    while (que):
        if count > 0:
            que_warp.append(que[0])
        for i in range(4):
            nx = int(que[0][0]+dx[i])
            ny = int(que[0][1]+dy[i])
            if (1<=nx<=H) and (1<=ny<=W):
                if res_S[nx-1][ny-1]<0 and S[nx-1][ny-1]=='.':
                    res_S[nx-1][ny-1]=count
                    que.append((nx,ny))
                    que_warp.append((nx,ny))
        que.pop(0)
 
    count += 1
 
    while(que_warp):
        for i in range(len(ddx)):
            nx = int(que_warp[0][0] + ddx[i])
            ny = int(que_warp[0][1] + ddy[i])
            if (1 <= nx <= H) and (1 <= ny <= W):
                if res_S[nx-1][ny-1]<0 and S[nx-1][ny-1]=='.':
                    res_S[nx-1][ny-1] = count
                    que.append((nx, ny))
        que_warp.pop(0)
 
print (res_S[Dh-1][Dw-1])

### FIXED CODE ###

H,W = map(int,input().split())
Ch,Cw = map(int,input().split())
Dh,Dw = map(int,input().split())
S = [list(input()) for i in range(H)]
 
res_S = [[-1]*W for i in range(H)]
dx = [1,-1,0,0]
ddx = [-2,-1,0,1,2,-2,-1,1,2,-2,2,-2,-1,1,2,-2,-1,0,1,2]
dy = [0,0,1,-1]
ddy = [-2,-2,-2,-2,-2,-1,-1,-1,-1,0,0,1,1,1,1,2,2,2,2,2]
count = 0
 
que = [(Ch,Cw)]
que_warp =[(Ch,Cw)]
res_S[Ch-1][Cw-1] = 0
 
while (que or que_warp):
    l = len(que)
    while (que):
        if l > 0:
            que_warp.append(que[0])
            l -= 1
        for i in range(4):
            nx = int(que[0][0]+dx[i])
            ny = int(que[0][1]+dy[i])
            if (1<=nx<=H) and (1<=ny<=W):
                if res_S[nx-1][ny-1]<0 and S[nx-1][ny-1]=='.':
                    res_S[nx-1][ny-1]=count
                    que.append((nx,ny))
                    que_warp.append((nx,ny))
        que.pop(0)
 
    count += 1
 
    while(que_warp):
        for i in range(len(ddx)):
            nx = int(que_warp[0][0] + ddx[i])
            ny = int(que_warp[0][1] + ddy[i])
            if (1 <= nx <= H) and (1 <= ny <= W):
                if res_S[nx-1][ny-1]<0 and S[nx-1][ny-1]=='.':
                    res_S[nx-1][ny-1] = count
                    que.append((nx, ny))
        que_warp.pop(0)
 
print (res_S[Dh-1][Dw-1])
### BUGGY CODE ###

a = list(map(int,input().split()))
n = a[0]
k = a[1]
q = a[2]
#print(n,k,q)
n_list = [k]*n
#print(n_list[0]+100)
#print(n_list)
for i in range(q):
  #print('Q',i)
  seikaisha = int(input())
  #print('seikaishaha',seikaisha)
  for j in range(n):
    if j == seikaisha:
      n_list[j-1] += 0
    else:
      n_list[j-1] -= 1
  #print(n_list)
for k in range(n):
  if n_list[k] > 0:
    print('Yes')
  else:
    print('No')

### FIXED CODE ###

a = list(map(int,input().split()))
n = a[0]
k = a[1]
q = a[2]
n_list = [0]*n
for i in range(q):
  seikaisha = int(input())
  n_list[seikaisha-1] += 1
  #print(n_list)
for j in range(n):
  if n_list[j]+k-q > 0:
    print('Yes')
  else:
    print('No')
### BUGGY CODE ###

import math


K = int(input())
ans = 0
for i in range(K):
    for j in range(K):
        for k in range(K):
            ans += math.gcd(math.gcd(i+1,j+1),k+1)
print(ans)

### FIXED CODE ###

from math import gcd
K = int(input())
ans = 0
for i in range(1,K+1):
    for j in range(1,K+1):
        for k in range(1,K+1):
            ans += gcd(gcd(i,j),k)
print(ans)
### BUGGY CODE ###

A,B=map(int,input().split())
M=A
a=0
if B==1:
  print(0)
else:
  while A<B :
    M+=A-1
    a+=1
  else:
    print(a+1)
  

### FIXED CODE ###

A,B=map(int,input().split())
M=A
a=1
if B==1:
  print(0)
else:
  for i in range(19):
    if M>=B:
      print(a)
      break
    a+=1
    M+=A-1