Harryxun/stf_run huggingface dataset:
n = int(input())
s = input()
a = []
s_list = list(s)
for i in range(len(s)):
    if i + 1 < len(s) - n: 
        w = s_list[i + n]
    else:
        w = s_list[i + n - len(s)]
    a.append(w)
print("".join(a))

### FIXED CODE ###

a = list("ABCDEFGHIJKLMNOPQRSTUVWXYZ")
N = int(input())
S = input()
l = [] 
for i in S:
    b = a.index(i) + N
    if b <= 25:
        w = a[b]
    else:
        w = a[b-26]
    l.append(w)
print("".join(l))
import math
import sys

sys.setrecursionlimit(10**6)

def lcm(x,y):
    return (x*y)//math.gcd(x,y)

n=int(input())
t=[int(input()) for i in range(n)]

LCM=lcm(t[0],t[1])
for i in range(2,n):
    LCM=lcm(LCM,t[i])

print(LCM)

### FIXED CODE ###

import math

def lcm(x,y):
    return (x*y)//math.gcd(x,y)

n=int(input())
t=[int(input()) for i in range(n)]

LCM=t[0]
for i in range(1,n):
    LCM=lcm(LCM,t[i])

print(LCM)
import math
a,b=map(int, input().split())

answer = 0

#偶数2
answer += math.factorial(a) / (math.factorial(a - 2)*2)

#奇数2
answer += math.factorial(b) / (math.factorial(b - 2)*2)

print(int(answer))

### FIXED CODE ###

import math
a,b=map(int, input().split())
answer = 0

if a > 1 :
    answer += math.factorial(a) / (math.factorial(a - 2)*2)

if b > 1:
    answer += math.factorial(b) / (math.factorial(b - 2)*2)

print(int(answer))
from sys import stdin
data = stdin.readlines()

n = int(data[0].split()[0])
a = [int(s) for s in data[1].split()]
a = sorted(a)

max = a[-1]

l = [0]*(max+1)

for i in a:
    l[i] += 1
    if l[i] == 1:
        for j in range(i*2,max+1,i):
            l[j] = 2
print(l.count(1))

### FIXED CODE ###

from sys import stdin
data = stdin.readline().rstrip()


b = [int(s) for s in data.split()]
print(b.index(0)+1)
class WeightedUnionFind:
    def __init__(self, n):
        self.par = [i for i in range(n+1)]
        self.rank = [0] * (n+1)
        # 根への距離を管理
        self.weight = [0] * (n+1)

    # 検索
    def find(self, x):
        if self.par[x] == x:
            return x
        else:
            y = self.find(self.par[x])
            # 親への重みを追加しながら根まで走査
            self.weight[x] += self.weight[self.par[x]]
            self.par[x] = y
            return y

    # 併合
    def union(self, x, y, w):
        rx = self.find(x)
        ry = self.find(y)
        # xの木の高さ < yの木の高さ
        if self.rank[rx] < self.rank[ry]:
            self.par[rx] = ry
            self.weight[rx] = w - self.weight[x] + self.weight[y]
        # xの木の高さ ≧ yの木の高さ
        else:
            self.par[ry] = rx
            self.weight[ry] = -w - self.weight[y] + self.weight[x]
            # 木の高さが同じだった場合の処理
            if self.rank[rx] == self.rank[ry]:
                self.rank[rx] += 1

    # 同じ集合に属するか
    def same(self, x, y):
        return self.find(x) == self.find(y)

    # xからyへのコスト
    def diff(self, x, y):
        return self.weight[x] - self.weight[y]

def main():
    n, m = map(int, input().split())
    wuf = WeightedUnionFind(n)
    for _ in range(m:
        l, r, d = map(int, input().split())
        if not wuf.same(l, r):
            wuf.union(l, r, d)
        else:
            if wuf.diff(l, r) != d:
                print('No')
                return
    print('Yes')

if __name__ == '__main__':
    main()

### FIXED CODE ###

class WeightedUnionFind:
    def __init__(self, n):
        self.par = [i for i in range(n+1)]
        self.rank = [0] * (n+1)
        # 根への距離を管理
        self.weight = [0] * (n+1)

    # 検索
    def find(self, x):
        if self.par[x] == x:
            return x
        else:
            y = self.find(self.par[x])
            # 親への重みを追加しながら根まで走査
            self.weight[x] += self.weight[self.par[x]]
            self.par[x] = y
            return y

    # 併合
    def union(self, x, y, w):
        rx = self.find(x)
        ry = self.find(y)
        # xの木の高さ < yの木の高さ
        if self.rank[rx] < self.rank[ry]:
            self.par[rx] = ry
            self.weight[rx] = w - self.weight[x] + self.weight[y]
        # xの木の高さ ≧ yの木の高さ
        else:
            self.par[ry] = rx
            self.weight[ry] = -w - self.weight[y] + self.weight[x]
            # 木の高さが同じだった場合の処理
            if self.rank[rx] == self.rank[ry]:
                self.rank[rx] += 1

    # 同じ集合に属するか
    def same(self, x, y):
        return self.find(x) == self.find(y)

    # xからyへのコスト
    def diff(self, x, y):
        return self.weight[x] - self.weight[y]

def main():
    n, m = map(int, input().split())
    wuf = WeightedUnionFind(n)
    for _ in range(m):
        l, r, d = map(int, input().split())
        if not wuf.same(l, r):
            wuf.union(l, r, d)
        else:
            if wuf.diff(l, r) != d:
                print('No')
                return
    print('Yes')

if __name__ == '__main__':
    main()
a = input().split()
if a[0] == a[1]:
    print(int(a[3]))
if a[0] == a[2]:
    print(int(a[1]))
if a[1] == a[2]:
    print(int(a[0]))


### FIXED CODE ###

a = list(map(int, input().split()))
if a[0] == a[1]:
    print(a[2])
elif a[0] == a[2]:
    print(a[1])
elif a[1] == a[2]:
    print(a[0])
n = int(input())

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

def gcd1(a,b):
  while b:
    a,b = b,a%b
  return a

def lcm1(a,b):
  return a*b//gcd1(a,b)
num = 0
num = lcm1(li[0],li[1])
for i in range(2,len(li)):
    num = lcm1(num,li[i])
print(num)

### FIXED CODE ###

n = int(input())

def gcd1(a,b):
  while b:
    a,b = b,a%b
  return a

def lcm1(a,b):
  return a*b//gcd1(a,b)
num = 1
for i in range(n):
    num = lcm1(num,int(input()))
print(num)
#パナソニックプロ2020
a,b,c=map(int,input().split())
if 4*a*b< (c-a-b)**2:
    print('Yes')
else:
    print('No'

### FIXED CODE ###

#パナソニックプロ2020
a,b,c=map(int,input().split())
if c-a-b<=0:
    print('No')
elif 4*a*b< (c-a-b)**2:
    print('Yes')
else:
    print('No')
import sys
import numpy as np
import math
import copy
input = sys.stdin.readline
 
N = int(input())
A = np.array(list(map(int,input().split())))
r = np.array(list(range(1,N+1)))
B = np.array(sorted(A-r))
ans = float('inf')
for i in range(max(N//2-1,0),max(N//2+2,N)):
    c = list(map(abs,(B - B[i])))
    ans = min(ans,sum(c))
print(ans)


### FIXED CODE ###

import sys
import numpy as np
import math
import copy
input = sys.stdin.readline
 
N = int(input())
A = np.array(list(map(int,input().split())))
if N ==1:
    ans = 0
else:
    r = np.array(list(range(1,N+1)))
    B = np.array(sorted(A-r))
    ans = float('inf')
    for i in range(max(N//2-1,0),min(N//2+2,N)):
        c = list(map(abs,(B - B[i])))
        ans = min(ans,sum(c))
print(ans)
N, M, K = [int(item) for item in input().split()]
MOD = 10**9 + 7

n = 10*6 
fac = [1] + [0] * n
fac_inv = [1] + [0] * n
for i in range(1, n+1):
    fac[i] = fac[i-1] * (i) % MOD
    # Fermat's little theorem says
    # a**(p-1) mod p == 1
    # then, a * a**(p-2) mod p == 1
    # it means a**(p-2) is inverse element
    fac_inv[i] = fac_inv[i-1] * pow(i, MOD-2, MOD) % MOD

def mod_nCr(n, r):
    if n == 0 and r == 0:
        return 1
    if n < r or n < 0:
        return 0
    tmp = fac_inv[n-r] * fac_inv[r] % MOD
    return tmp * fac[n] % MOD 

total = 0
for i in range(M):
    total += (M - i) * N * N * mod_nCr(M * N - 2, K - 2) * i
    total %= MOD  
for i in range(N):
    total += (N - i) * M * M * mod_nCr(M * N - 2, K - 2) * i
    total %= MOD  
print(total)

### FIXED CODE ###

N, M, K = [int(item) for item in input().split()]
MOD = 10**9 + 7

n = 2 * 10**5 + 10
fac = [1] + [0] * n
fac_inv = [1] + [0] * n
for i in range(1, n+1):
    fac[i] = fac[i-1] * (i) % MOD
    # Fermat's little theorem says
    # a**(p-1) mod p == 1
    # then, a * a**(p-2) mod p == 1
    # it means a**(p-2) is inverse element
    fac_inv[i] = fac_inv[i-1] * pow(i, MOD-2, MOD) % MOD

def mod_nCr(n, r):
    if n == 0 and r == 0:
        return 1
    if n < r or n < 0:
        return 0
    tmp = fac_inv[n-r] * fac_inv[r] % MOD
    return tmp * fac[n] % MOD 

total = 0
for i in range(M):
    total += (M - i) * N * N * mod_nCr(M * N - 2, K - 2) * i
    total %= MOD  
for i in range(N):
    total += (N - i) * M * M * mod_nCr(M * N - 2, K - 2) * i
    total %= MOD  
print(total)
def comb(n,r,mod=10**9+7):
    return((n(n-1)//2 - r(r-1)//2)%mod)

n, a, b = map(int, input().split())
mod = 10**9+7

ans = (pow(2,n,mod)-1-comb(n,a)-comb(n,b)) % mod #値が大きくなるので全てmodで計算
print(ans)

### FIXED CODE ###

def comb(n,r,mod=10**9+7):
    cnt = 1
    for i in range(1, r+1): #nCr = n*(n-1)*...(n-r+1)/r!で分母 = cnt
        cnt *= (n-i+1)*pow(i,mod-2,mod) #逆元法 X*Y**(mod-2)%mod。繰り返し2乗法powを使う
        cnt %= mod #値が大きくなるので全てmodで計算
    return cnt

n, a, b = map(int, input().split())
mod = 10**9+7

ans = (pow(2,n,mod)-1-comb(n,a)-comb(n,b)) % mod #値が大きくなるので全てmodで計算
print(ans)
n = int(input())
ans = -1
num = 0
for i in range(n):
    a,b = map(int,input().split())
    ans += b
    num += a * b
    if num > 9:
        ans += num // 9
        num %= 9
        if num == 0:
            ans -= 1
            num = 9
print(ans)

### FIXED CODE ###

a,b = map(int,input().split())
ans = 0
if a == 1:ans += 300000
elif a == 2:ans += 200000
elif a == 3:ans += 100000
if b == 1:ans += 300000
elif b == 2:ans += 200000
elif b == 3:ans += 100000
if ans == 600000:ans += 400000
print(ans)
import sys
input = sys.stdin.readline
N = int(input())
= []
S_append = S.append
S = [input() for _ in range(N)]
count = 0
while len(S) >0:
  S.remove(S[0])
  count += 1

print(count)

### FIXED CODE ###

N = int(input())
S = list()
for i in range(N):
  x = input()
  S.append(x)
  
A = set(S)
print(len(A))
a = int(input())

key = True
for i in range(1, 10):
  for j in range(1, 10):
    if(a == i * j):
      print('YES')
      key = False
  if(!key):
    break
if(key):
  print('NO')

### FIXED CODE ###

a = int(input())

key = True
for i in range(1, 10):
  for j in range(1, 10):
    if(a == i * j and key):
      print('Yes')
      key = False
if(key):
  print('No')
from heapq import heapify, heappush, heappop
import sys
input = sys.stdin.readline
Q = int(input())
query = []
sumL, sumR = [], []
ans = 0
for _ in range(Q):
    a = list(map(int, input().split()))
    if a[0]==1:
        ans += a[2]
        if len(sumL)==0 or a[1] <= -sumL[0]:
            heappush(sumL, -a[1])
            ans += -sumL[0] - a[1]
        else:
            heappush(sumR, a[1])
            ans += sumL[0] + a[1]
    
        if len(sumR) > len(sumL):
            ans -= sumR[0] + sumL[0]
            heapposh(sumL, -heappop(sumR))
            
        elif len(sumL) - len(sumR) >= 2:
            heappush(sumR, -heappop(sumL))

    else:
        print(-sumL[0],ans)

### FIXED CODE ###

from heapq import heapify, heappush, heappop
import sys
input = sys.stdin.readline
Q = int(input())
query = []
sumL, sumR = [], []
ans = 0
for _ in range(Q):
    a = list(map(int, input().split()))
    if a[0]==1:
        ans += a[2]
        if len(sumL)==0 or a[1] <= -sumL[0]:
            heappush(sumL, -a[1])
            ans += -sumL[0] - a[1]
        else:
            heappush(sumR, a[1])
            ans += sumL[0] + a[1]
    
        if len(sumR) > len(sumL):
            ans -= sumR[0] + sumL[0]
            heappush(sumL, -heappop(sumR))
            
        elif len(sumL) - len(sumR) >= 2:
            heappush(sumR, -heappop(sumL))

    else:
        print(-sumL[0],ans)
def frog1(h):
    dp = [float('inf')]*3
    dp[0] = 0
    for i in range(1,len(h)):
        dp[i%3] = min([dp[(i-j)%3] + abs(h[i]-h[i-j]) for j in range(1,3)])
    return dp[(len(h)-1)%3]
    
n = input()
vals = map(int, input.split())

print(frog1(vals))

### FIXED CODE ###

def frog1(h):
    dp = [float('inf')]*3
    dp[0] = 0
    for i in range(1,len(h)):
        dp[i%3] = min([dp[(i-j)%3] + abs(h[i]-h[i-j]) for j in range(1,3)])
    return dp[(len(h)-1)%3]
    
n = input()
vals = list(map(int, input().split()))

print(frog1(vals))
n, m = map(int, input().split())
a = [-1]
for i in range(m):
    a.append(int(input()))
a.append(n+1)

mod = 10 ** 9 + 7
stairs = [0, 1]
for i in range(2, n+1):
    stairs.append((stairs[i-1] + stairs[i-2]) % mod)

count = 1
for i in range(m+1):
    diff = a[i+1] - a[i] - 1
    count *= stairs[diff]
print(count % mod)


### FIXED CODE ###

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

ways = [1, 1]
for i in range(2, n + 1):
    ways.append(ways[i-2] + ways[i-1])

stairs = []
now = 0
for i in range(m):
    stairs.append(a[i] - 1 - now)
    now = a[i] + 1

stairs.append(n - now)

ans = 1
for ele in stairs:
    if ele == -1:
        ans *= 0
    else:
        ans *= ways[ele]

mod = 10 ** 9 + 7
print(ans % mod)
map(int,input().split());print(-(-(a+b)//2))

### FIXED CODE ###

a,b=map(int,input().split());print(-(-(a+b)//2))
N = int(input())
Edges = [[] for i in range(N)]
for i in range(N-1):
    a,b,c = map(int,input().split())
    a,b = a-1,b-1
    Edges[a].append((b,c))
    Edges[b].append((a,c))
D = [float('inf') for i in range(N)]
def dfs(v,p,d):
    D[v] = d
    for e1,e2 in Edges[v]:
        if e1 != p:
            dfs(e1,v,d+e2)
Q,K = map(int,input().split())
dfs(K-1,-1,0)
for i in range(Q):
    x,y = map(int,input().split())
    print(D[x-1]+D[y-1])

### FIXED CODE ###

import sys
sys.setrecursionlimit(10**9)
N = int(input())
Edges = [[] for i in range(N)]
for i in range(N-1):
    a,b,c = map(int,input().split())
    a,b = a-1,b-1
    Edges[a].append((b,c))
    Edges[b].append((a,c))
D = [float('inf') for i in range(N)]
def dfs(v,p,d):
    D[v] = d
    for e1,e2 in Edges[v]:
        if e1 != p:
            dfs(e1,v,d+e2)
Q,K = map(int,input().split())
dfs(K-1,-1,0)
for i in range(Q):
    x,y = map(int,input().split())
    print(D[x-1]+D[y-1])
print(input()[:3])

### FIXED CODE ###

name = input()
print(name[:3])
n = int(input())
arr = list(map(int, input().split()))
for i in arr:
  total ^= i
for i in arr:
  print(total ^ i, end=' ')

### FIXED CODE ###

n = int(input())
arr = list(map(int, input().split()))
total = 0
for i in arr:
  total ^= i
for i in arr:
  print(total ^ i, end=' ')
A, B, K = map(int, input().split())
nums = list(range(A, B + 1))
ans = set(nums[:K]) | set(nums[-K:])
ans = list(ans)
ans.sort()
for i in ans:
    print(i)


### FIXED CODE ###

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

ans = set()
for i in range(A, min(B + 1, A + K)):
    ans.add(i)

for i in range(max(A, B - K + 1), B + 1):
    ans.add(i)
ans = sorted(list(ans))
for i in ans:
    print(i)
s = int(input())
s_list = list(s)
ans="Good"
for i in range(len(s))
	if s_list[i]==s_list[i+1]:
		ans="Bad"
print(ans)

### FIXED CODE ###

s = input()

ans="Good"
for i in range(3):
	if s[i]==s[i+1]:
		ans="Bad"
print(ans)
import math
sosu = 10 ** 9 + 7
N, K = map(int, input().split())
def conv(n, r):
    ans = math.factorial(n) / (math.factorial(r) * math.factorial(n-r)) % sosu
    return(ans)

for i in range(1, K+1):
    fir = conv(K-1, i-1)
    #print(fir)
    sec = conv(N-K+1, i)
    #print(sec)
    ans = fir * sec % sosu
    print(int(ans))


### FIXED CODE ###

import math
sosu = 10 ** 9 + 7
N, K = map(int, input().split())
#互いに素なa,bについて、a*x+b*y=1の一つの解
def extgcd(a,b):
    r = [1,0,a]
    w = [0,1,b]
    while w[2]!=1:
        q = r[2]//w[2]
        r2 = w
        w2 = [r[0]-q*w[0],r[1]-q*w[1],r[2]-q*w[2]]
        r = r2
        w = w2
    #[x,y]
    return [w[0],w[1]]

# aの逆元(mod m)を求める。(aとmは互いに素であることが前提)
def mod_inv(a,m):
    x = extgcd(a,m)[0]
    return (m+x%m)%m

def conv(n, r):
    bunbo = math.factorial(n) % sosu
    bunsi1 = mod_inv(math.factorial(r), sosu)
    bunsi2 = mod_inv(math.factorial(n-r), sosu)
    ans = bunbo * bunsi1 * bunsi2 % sosu
    return(ans)
#print(conv(1997,2))

for i in range(1, K+1):
    if N-K+1 >= i:
        fir = conv(K-1, i-1)
        sec = conv(N-K+1, i)
        ans = fir * sec % sosu
        print(int(ans))
    else:
        print(0)
ans=list(map(int,input().split()))
dic=[]
for x in ans:
  if(x!=5 or x!=7):
    print("NO")
    break
  else:
  	dic[str(x)]=dic.get(x，0）+1
if(dic["5"]!=2 and dic["7"]!=1):
	print("NO")
else:
  	print("YES") 
             

	
  


### FIXED CODE ###

ans=list(map(int,input().split()))
dic={}
flg=0
for x in ans:
    if(x!=5 and x!=7):
        flg=-1
        break
    else:
        dic[str(x)]=dic.get(str(x),0)+1
if(flg==-1):
    print("NO")
else:
    if(dic["5"]!=2 or dic["7"]!=1):
	       print("NO")
    else:
 	      print("YES")
N,M = map(int,input().split())
AC = {}
WA = {}
for i in range(M):
    prb ,ans = input().split()
    if ans == "AC":
        AC[prb] = 1
    else:
        if (prb in WA) == False:
            WA[prb] = 1
        else:
            if AC[prb] == None:
                WA[prb] +=1
wa = 0
for i,v in WA.items():
    wa += v
print("{} {}".format(len(AC),wa))

### FIXED CODE ###

N,M = map(int,input().split())
AC = {}
WA = {}
for i in range(M):
    prb ,ans = input().split()
    if ans == "AC":
        AC[prb] = 1
    else:
        if (prb in WA) == False and (prb in AC) ==  False:
            WA[prb] = 1
        else:
            if (prb in AC) ==  False:
                WA[prb] +=1
wa = 0
for i,v in WA.items():
    if (i in AC):
        wa += v
print("{} {}".format(len(AC),wa))
AL = 'ABCDEFGHIJKLMNOPQRSTUVWXYZ'
 
N = 2
 
S = ABCXYZ
A = []
 
for i in range(len(S)):
  B = AL.index(S[i])+N
  if B >= 26:
    B = B - 26
  A.append(S[B])
  
for j in range(len(S)):
  print(A[j], end='')

### FIXED CODE ###

AL = 'ABCDEFGHIJKLMNOPQRSTUVWXYZ'
 
N = int(input())
 
S = input()
A = []
 
for i in range(len(S)):
  B = AL.index(S[i])+N
  if B >= 26:
    B = B -26
  A.append(AL[B])
  
for j in range(len(S)):
  print(A[j], end='')
a,b = int(input().split())
     
if result % 2 == 0:
	print("Even")
else :
	print("Odd")


### FIXED CODE ###

a,b = input().split()
result = int(a) * int(b)
     
if result % 2 == 0:
	print("Even")
else :
	print("Odd")
n=int(input())
dp=list(map(int,input().split()))
m=int(input())
tp=list(map(int,input().split()))
d=dict()

ans="YES"

for di in dp:
    if di in d:
        d[di]+=1
    else:
        d[di]=1

for ti in tp:
    if d[ti]==0:
        ans="NO"
        break
    else:
        d[ti]-=1
print(ans)

### FIXED CODE ###

import collections
n=int(input())
dp=collections.Counter(int(x) for x in input().split())
m=int(input())
tp=collections.Counter(int(x) for x in input().split())
ans="YES"
for k,v in tp.items():
    if dp[k]<v:
        ans="NO"
        break
print(ans)
N=int(input())
A=list(map(int,input().split()))

import numpy as np

A=np.array(A)

from bisect import bisect
s = bisect(A.cumsum(), A.sum()/2)

if A.sum()/2 in A.cumsum():
    print(0)
else:
    print(min(A.sum() - A[0:s+1].sum(), A.sum() - A[s+1:N].cumsum()))

### FIXED CODE ###

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

import numpy as np

A=np.array(A)

from bisect import bisect_left
s = bisect_left(A.cumsum(), A.sum()/2)

if A.sum()/2 in A.cumsum():
    print(0)
else:
    print(int(min(abs(A.sum()/2 - A[0:s].sum()) * 2, abs(A.sum()/2 - A[0:s+1].sum()) * 2)))
n=input()
k=int(input())
l=len(n)

dp=[[[0 for _ in range(2)] for _ in range(5)] for _ in range(l+1)]

dp[0][1][1]=int(n[0]-1)
dp[0][1][0]=1
dp[0][0][1]=1

for i in range(1,l):
  for j in range(4):
    b=i-1
    now=n[i]
    if now==0:
      dp[i][j][0]+=dp[b][j][0]
    else:
      dp[i][j][1]+=dp[b][j][0]
      dp[i][j+1][1]+=dp[b][j][0]*(now-1)
      dp[i][j+1][0]+=dp[b][j][0]
    dp[i][j][1]+=dp[b][j][1]
    dp[i][j+1][1]+=9*dp[b][j][1]
print(dp[l-1][k][0]+dp[l-1][k][1])


### FIXED CODE ###

n=input()
k=int(input())
l=len(n)
dp=[[[0 for _ in range(2)] for _ in range(5)] for _ in range(l+1)]
dp[0][1][1]=int(n[0])-1
dp[0][1][0]=1
for i in range(1,l):
  for j in range(4):
    b=i-1
    now=int(n[i])
    if now==0:
      dp[i][j][0]+=dp[b][j][0]
    else:
      dp[i][j][1]+=dp[b][j][0]
      dp[i][j+1][1]+=dp[b][j][0]*(now-1)
      dp[i][j+1][0]+=dp[b][j][0]
    dp[i][j][1]+=dp[b][j][1]
    dp[i][j+1][1]+=dp[b][j][1]*9
  dp[i][1][1]+=9
print(dp[l-1][k][0]+dp[l-1][k][1])
import math
a,b,c,d = map(int,input().split())
s=0
start = a//c
end = b//c
a * b // math.gcd(a, b)
if start*c<a:
    s += end-(start+1)+1
else:
    s += end - start + 1
if d%c!=0:
    start = a // d
    end = b // d
    if start * d < a:
        s += end - (start + 1) + 1
    else:
        s += end - start + 1
def gcd(x, y):
    while y != 0:
        (x, y) = (y, x % y)
    return x

    return gcd
last =c * d // gcd(c, d)
start = a//last
end = b//last
if start*c<a:
    s -= end-(start+1)+1
else:
    s -= end - start + 1
print((b-a+1)-s)

### FIXED CODE ###

a, b, c, d = map(int, input().split())
s = 0
start = a // c
end = b // c
if start * c < a:
    s += end - (start + 1) + 1
else:
    s += end - start + 1
if d % c != 0:
    start = a // d
    end = b // d
    if start * d < a:
        s += end - (start + 1) + 1
    else:
        s += end - start + 1
    def gcd(x, y):
        while y != 0:
            (x, y) = (y, x % y)
        return x
        return gcd
    last = c * d // gcd(c, d)
    start = a // last
    end = b // last
    if start * last < a:
        s -= end - (start + 1) + 1
    else:
        s -= end - start + 1
print((b - a + 1) - s)
import math

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

p.sort()
pnt_big = 0
pnt_small = 0
for i in range(100):
    if p.count(x+i) == 0:
        ans_big = x+i
        pnt_big = 1
    if p.count(x-i) == 0:
        ans_small = x-i
        pnt_small = 1
    if pnt_small == 1 or pnt_big == 1:
        break

if pnt_big == pnt_small:
    print(ans_small)
else:
    print(ans_big)

### FIXED CODE ###

import math

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

pnt_big = 0
pnt_small = 0
ans_big = 100
ans_small = 100
for i in range(101):
    if p.count(x+i) == 0:
        ans_big = x+i
        pnt_big = 1
    if p.count(x-i) == 0:
        ans_small = x-i
        pnt_small = 1
    if pnt_small == 1 or pnt_big == 1:
        break

if pnt_big ==1 and pnt_small == 1:
    print(ans_small)
if pnt_big == 0 and pnt_small == 1:
    print(ans_small)
if pnt_big == 1 and pnt_small == 0:
    print(ans_big)
from typing import List

def is_odd(num: int) -> bool:
    return num % 2 != 0

def odd_in_list(num_list: List[int]) -> bool:
    for num in num_list:
        if is_odd(num):
            return True
    
    else:
        return False

def half(num: int) -> int:
    return num / 2

def shift_only(num_list, counter):
    if odd_in_list(num_list):
        return counter
    else:
        return shift_only(list(map(half, num_list)), counter + 1)


n = int(input())

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

counter = 0

result = shift_only(a_list, counter)
print(result)

### FIXED CODE ###



def is_odd(num):
    return num % 2 != 0

def odd_in_list(num_list):
    for num in num_list:
        if is_odd(num):
            return True
    
    return False

def half(num):
    return num / 2

def shift_only(num_list, counter):
    if odd_in_list(num_list):
        print('its over')
        return counter
    else:
        new_list = list(map(half, num_list))
        counter += 1
        print('continue', num_list, counter)
        return shift_only(new_list, counter)


n = int(input())

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


counter = 0
flag = True

while flag:
    for i in range(n):
        # print(a_list[i])
        if a_list[i] % 2 != 0:
            # print('is odd')
            flag = False
            break
        else:
            continue
    
    if not flag:
        break
    
    for i in range(n):
        a_list[i] /= 2
    counter += 1

    # print('-----loop------')
    # print(a_list, counter)

print(counter)