Harryxun/stf_run huggingface dataset:
from collections import defaultdict
import heapq


class Dijkstra:
    def __init__(self):
        self.edge = defaultdict(list)

    def add(self, u, v, d):
        self.edge[u].append([v, d])
        self.edge[v].append([u, d])

    def search(self, start):
        distance = defaultdict(lambda: float("inf"))
        distance[start] = 0
        queue = []
        heapq.heappush(queue, (0, start))
        seen = set()
        while queue:
            k, u = heapq.heappop(queue)
            if u in seen:
                continue
            seen.add(u)

            for v, d in self.edge[u]:
                if v in seen:
                    continue
                if distance[v] > k + d:
                    distance[v] = k + d
                    heapq.heappush(queue, (k + d, v))
        return distance


n, m, s, t = map(int, input().split())
uvab = [list(map(int, input().split())) for i in range(M)]
graph1 = Dijkstra()
graph2 = Dijkstra()

for u, v, a, b in UVAB:
    graph1.add(u, v, a)
    graph2.add(u, v, b)

result_a = graph1.search(s)
result_b = graph2.search(t)
ans_list = [float('inf')]

for i in range(n, 0, -1):
    cur = result_a[i] + result_b[i]
    if cur > ans_list[-1]:
        cur = ans_list[-1]
    ans_list.append(cur)

for i in range(len(ans_list[1:])):
    print(10 ** 15 - ans_list[-(i + 1)])


### FIXED CODE ###

from collections import defaultdict
from heapq import heappop, heappush
import sys
input = sys.stdin.readline


class Dijkstra:
    def __init__(self):
        self.edge = defaultdict(list)

    def add(self, u, v, d):
        self.edge[u].append([v, d])
        self.edge[v].append([u, d])

    def search(self, start):
        distance = defaultdict(lambda: float("inf"))
        distance[start] = 0
        queue = []
        heappush(queue, (0, start))
        seen = set()
        while queue:
            k, u = heappop(queue)
            if u in seen:
                continue
            seen.add(u)

            for v, d in self.edge[u]:
                if v in seen:
                    continue
                new_d = k + d
                if distance[v] > new_d:
                    distance[v] = new_d
                    heappush(queue, (new_d, v))
        return distance


n, m, s, t = map(int, input().split())
uvab = [list(map(int, input().split())) for _ in range(m)]
graph1 = Dijkstra()
graph2 = Dijkstra()

for u, v, a, b in uvab:
    graph1.add(u, v, a)
    graph2.add(u, v, b)

result_a = graph1.search(s)
result_b = graph2.search(t)
ans_list = [float('inf')]

for i in range(n, 0, -1):
    cur = result_a[i] + result_b[i]
    if cur > ans_list[-1]:
        cur = ans_list[-1]
    ans_list.append(cur)

for ans in ans_list[n:0:-1]:
    print(10 ** 15 - ans)
N=int(input())
ans=0

for i in range(N):
  if (N+1)% !=3 and (N+1)% !=5:
    ans+=i
print(ans)

### FIXED CODE ###

n=int(input())
sum=0
for i in range(1,n+1):
  if i%3!=0 and i%5 !=0:
    sum+=i
print(sum)
N=int(input())
K=int(input())
import math
ans=0
n=str(N)
a=len(n)
def combi(p,q):
    if p<q : return 0
    else: return math.factorial(p)//(math.factorial(q)*math.factorial(p-q))
def mi(i):
    if i==0:
        return 0
    else:
        return i-1
def zero(i):
    if int(n[i])==0:
        return 0
    else:
        return 1
if a<K:
    ans=0
else:
    if a>K:
        ans+=combi(a-1,K)*(9**K)
    if K==1:ans+=int(n[0])
    elif K==2:ans+=mi(0)*(a-1)*9+zero(1)*(a-2)*9+int(n[1])
    elif a==3 : ans+=mi(0)*81*(combi(a-1,2))+9*mi(1)+int(n[2])
    else:
        x=0
        i=1
        b=0
        bs=a
        c=0
        cs=a
        while True:
            if (int(n[i])!=0) and (x==0):
                b=int(n[i])
                bs=a-i
                x+=1
            elif (int(n[i])!=0) and (x==1):
                c=int(n[i])
                cs=a-i
                x+=1
            if (x==2) or (i==len(n)):
                break
            i+=1

        ans+=mi(int(n[0]))*81*(combi(a-1,2))+combi(bs-1,2)*81+9*(a-2)*mi(b)+c+mi(cs)*9

print(ans)

### FIXED CODE ###

N=int(input())
K=int(input())
import math
ans=0
n=str(N)
a=len(n)
def combi(p,q):
    if p<q : return 0
    else: return math.factorial(p)//(math.factorial(q)*math.factorial(p-q))
def mi(i):
    if i==0:
        return 0
    else:
        return i-1
def zero(i):
    if int(n[i])==0:
        return 0
    else:
        return 1
if a<K:
    ans=0
else:
    if a>K:
        ans+=combi(a-1,K)*(9**K)
    if K==1:ans+=int(n[0])
    elif K==2:
        x=0
        i=1
        b=0
        bs=0
        while True:
            if (int(n[i])!=0) and (x==0):
                b=int(n[i])
                bs=a-i
                x+=1
            if (x==1) or (i==len(n)-1):
                break
            i+=1
        ans+=mi(int(n[0]))*(a-1)*9+mi(bs)*9+b
    elif a==3 : ans+=mi(int(n[0]))*81*(combi(a-1,2))+9*mi(int(n[1]))+int(n[2])
    else:
        x=0
        i=1
        b=0
        bs=0
        c=0
        cs=0
        while True:
            if (int(n[i])!=0) and (x==0):
                b=int(n[i])
                bs=a-i
                x+=1
            elif (int(n[i])!=0) and (x==1):
                c=int(n[i])
                cs=a-i
                x+=1
            if (x==2) or (i==len(n)-1):
                break
            i+=1
        ans+=mi(int(n[0]))*81*(combi(a-1,2))+combi(bs-1,2)*81+9*(a-2)*mi(b)+c+mi(cs)*9

print(ans)
from math import gcd

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

print(n * m // gcd(n, m))



### FIXED CODE ###

import fractions

a, b = map(int, input().split())
c = fractions.gcd(a, b)


print(a * b // c)
N = int(input().split())
hon = [2,4,5,7,9]
pon = [0,1,6,8]
bon = [3]
if N[-1] in hon:
  print('hon')
elif N[-1] in pon:
  print('pon')
else:
  print('bon')


### FIXED CODE ###

N = input()
hon = [2,4,5,7,9]
pon = [0,1,6,8]
bon = [3]
n = int(N[-1])
if n in hon:
  print('hon')
elif n in pon:
  print('pon')
else:
  print('bon')
H, W = map(int, input().split())
fields = [['.'] * (W+2)] + [['.'] + list(input()) + ['.'] for _ in range(W)] + [['.'] * (W+2)]

for i in range(1, H+1):
  for j in range(1, W+1):
    if fields[i][j] == '#':
      continue
    else:
      mine_cnt = 0
      if fields[i][j-1] == '#':
        mine_cnt += 1
      if fields[i][j+1] == '#':
        mine_cnt += 1
      if fields[i-1][j] == '#':
        mine_cnt += 1
      if fields[i+1][j] == '#':
        mine_cnt += 1
      fields[i][j] = mine_cnt
for i in range(1 , H):
  row = ''.join(fields[i][1:W+1])
  print(row)

  

### FIXED CODE ###

H, W = map(int, input().split())
fields = [['.'] * (W+2)] + [['.'] + list(input()) + ['.'] for _ in range(H)] + [['.'] * (W+2)]

for i in range(1, H+1):
  for j in range(1, W+1):
    if fields[i][j] == '#':
      continue
    else:
      mine_cnt = 0
      for row in [-1, 0, 1]:
        for column in [-1, 0, 1]:
          if fields[i+row][j+column] == '#':
            mine_cnt += 1
      fields[i][j] = str(mine_cnt)
for i in range(1 , H+1):
  row = ''.join(fields[i][1:W+1])
  print(row)
X,N = [int(i) for i in input().split()]
p = [int(i) for i in input().split()]
nlist = [0 for i in range(100)] 
for i in p:
    nlist[i-1]=1
for i in range(max(X,100-X)):
    
    if X-i>=0:
        if nlist[X-i-1] == 0:
            result = X-i
            break
    if X-i>=0:
        if nlist[X+i-1] == 0:
            result = X+i
            break
print(result)
        

### FIXED CODE ###

X,N = [int(i) for i in input().split()]
p = [int(i) for i in input().split()]
nlist = [0 for i in range(105)] 
for i in p:
    nlist[i]=1
for i in range(max(X+1,100-X+1)):
    
    if X-i>=0:
        if nlist[X-i] == 0:
            result = X-i
            break
    if X+i<=101:
        if nlist[X+i] == 0:
            result = X+i
            break
print(result)
from collections import defaultdict
import sys
sys.setrecursionlimit(100000)
d=defaultdict(int)
dw=defaultdict(int)
n,m=map(int,input().split())
l=[]
for i in range(n):
  l.append(list(input()))
lb=[[0 for i in range(m)]for j in range(n)]
move=[[1,0],[-1,0],[0,1],[0,-1]]
def dfs(n1,n2,w,n3):
  if lb[n1][n2]!=0:
    return None
  else:
    lb[n1][n2]=n3
    if w==".":
      w1="#"
    else:
      w1="."
    for j in move:
      dx=j[0]
      dy=j[1]
      x=dx+n1
      y=dy+n2
      if 0>x or x>n-1 or y<0 or y>m-1:
        pass
      else:
        if w1!=l[x][y]:
          pass
        else:
          dfs(x,y,w1,n3)
    return None
dfs(0,0,l[0][0],1)
num=1
for i in range(n):
  for j in range(m):
    dfs(i,j,l[i][j],num)
    num+=1
for i in range(n):
  for j in range(m):
    d[lb[i][j]]+=1
    if l[i][j]=="#":
      dw[lb[i][j]]+=1
ans=0
for i in d:
  ans+=dw[i]*(d[i]-dw[i])
print(ans)

### FIXED CODE ###

from collections import defaultdict
import sys
sys.setrecursionlimit(1000000)
d=defaultdict(int)
dw=defaultdict(int)
n,m=map(int,input().split())
l=[]
for i in range(n):
  l.append(list(input()))
lb=[[0 for i in range(m)]for j in range(n)]
move=[[1,0],[-1,0],[0,1],[0,-1]]
def dfs(n1,n2,w,n3):
  if lb[n1][n2]!=0:
    return None
  else:
    lb[n1][n2]=n3
    if w==".":
      w1="#"
    else:
      w1="."
    for j in move:
      dx=j[0]
      dy=j[1]
      x=dx+n1
      y=dy+n2
      if 0>x or x>n-1 or y<0 or y>m-1:
        pass
      else:
        if w1!=l[x][y]:
          pass
        else:
          dfs(x,y,w1,n3)
    return None
dfs(0,0,l[0][0],1)
num=1
for i in range(n):
  for j in range(m):
    dfs(i,j,l[i][j],num)
    num+=1
for i in range(n):
  for j in range(m):
    d[lb[i][j]]+=1
    if l[i][j]=="#":
      dw[lb[i][j]]+=1
ans=0
for i in d:
  ans+=dw[i]*(d[i]-dw[i])
print(ans)
def shellSort(A):
    global cnt
    cnt = 0
    h = 1
    g = []
    while h <= len(A):
        g.append(h)
        h = 3*h+1
    g.reverse()
    m = len(g)
    print(m)
    print(' '.join(map(str,g)))
    for i in range(m):
        insertionSort(A,g[i])


def insertionSort(A,g):
    global cnt
    
    for i in range(g,len(A)):
        v = A[i]
        j = i - g
        while j >= 0 and A[j] > v:
            A[j+g] = A[j]
            j = j - g
            cnt += 1
            A[j+g] = v
    

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


shellSort(A)
print(cnt)
for i in A:
    print(i)


### FIXED CODE ###

def insertionSort(A,g):
    global cnt
    
    for i in range(g,len(A)):
        v = A[i]
        j = i - g
        while j >= 0 and A[j] > v:
            A[j+g] = A[j]
            j = j - g
            cnt += 1
        A[j+g] = v
            
def shellSort(A):
    global cnt
    cnt = 0
    h = 1
    g = []
    while h <= len(A):
        g.append(h)
        h = 3*h+1
    g.reverse()
    m = len(g)
    print(m)
    print(' '.join(map(str,g)))
    for i in range(m):
        insertionSort(A,g[i])

    

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


shellSort(A)
print(cnt)
for i in A:
    print(i)
x,a,b=map(int,input().split())
print("A" if |x-a|<|x-b| else "B")

### FIXED CODE ###

x,a,b=map(int,input().split())
print("A" if abs(x-a)<abs(x-b) else "B")
N = [int(i) for i in input().split()]
S = []
d = {}
for i in range(N):
    S.append(input())
for s in S:
    new_s = "".join((sorted(s)))
    if new_s in d:
        d[new_s] += d[new_s]
    else:
        d[new_s] = 1
print(max(d.values()))


### FIXED CODE ###

N = int(input())
S = [input() for _ in range(N)]
d = {}
ans = 0
for s in S:
    ss = "".join(sorted(s))
    if ss in d:
        d[ss] += 1
        ans += d[ss]
    else:
        d[ss] = 0
print(ans)
n,k=map(int,input().split())
x=abs(n-k)

if x>k:
    print(x%k)
else:
    print(k%x)


### FIXED CODE ###

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

print(min(n%k,abs(k-n%k)))
def f(b,n):
  if b>n:
    return n
  else:
    return f(b,n//b)+n%b

n=int(input())
s=int(input())
if s==n:
  print(n+1)
else:
  ans=0
  for i in range(2,int(n**0.5)+1):
    if f(i,n)==s:
      ans=i
      break
  if ans!=0:
    print(ans)
  else:
    for i in range(1,int(n**0.5)+1):
      tb=(n-s)//i+1
      if f(tb,n)==s:
        ans=tb
        break
    if ans!=0:
      print(ans)
    else:
      print(-1)

### FIXED CODE ###

import sys
sys.setrecursionlimit(10**8)

def f(b,n):
  if b>n:
    return n
  else:
    return f(b,n//b)+n%b

n=int(input())
s=int(input())
if s>n:
  print(-1)
elif s==n:
  print(n+1)
else:
  ans=10**18
  for i in range(2,int(n**0.5)+1):
    if f(i,n)==s:
      ans=i
      break
  if ans!=10**18:
    print(ans)
  else:
    for i in range(1,int(n**0.5)+1):
      tb=(n-s)//i+1
      if tb==1:
        continue
      if f(tb,n)==s:
        ans=min(ans,tb)
    if ans!=10**18:
      print(ans)
    else:
      print(-1)
n=int(input())
a=[-1]+list(map(int,input().split()))

t=((n+1)+2-1)//2

ans=[-1]+[0 for i in range(n)]
ans[t:]=a[t:]

for i in range(t-1,0,-1):
 t_sum=sum(ans[i+i::i])
 if a[i]%2==t_sum%2:
  ans[i]=0
 else:
  ans[i]=1

m=ans.count(1)
ans_l=[]
for i in range(n+1):
 if ans[i]==1:
  ans_l.append(i)
print(m)
if ans_l:
 print(*ans_l)

### FIXED CODE ###

n = int(input())
a = [int(input()) for i in range(n)]
a_s = sorted(a, reverse=True)
a_max = a_s[0]
a_sec = a_s[1]
for i in range(n):
    if a[i] == a_max:
        print(a_sec)
    else:
        print(a_max)
N = input()
print(1 + N/1000)

### FIXED CODE ###

print((10000-int(input()))%1000)
N,A=map(int,input().split())
print((N*N)-A)

### FIXED CODE ###

N=int(input())
A=int(input())
print((N*N)-A)
N, M = map(int, input().split())
sc = [list(map(int, input().split())) for i in range(M)]
for i in range(0, 10**N):
    if len(str(i))==N and all(str(i)[s-1] == c for s,c in sc)
    print('Yes')
else:
    print('No')

### FIXED CODE ###

N, M = map(int, input().split())
sc = [list(map(int, input().split())) for i in range(M)]
for i in range(10**N): #rangeで書けば小さい順に実行するのを利用
    if len(str(i))==N and all(str(i)[s-1]==str(c) for s,c in sc):
                    #iの桁数指定では、入力のsと一つずれることに注意  
                    #このif文では最小値である可能性のある数字がリスト中にあるかどうか確認
        print(i)
        break
else:
    print(-1)
n,k=[int(i)for i in input().split()]
s=str(input())
print(s.replace(s[k],s[k].lower))

### FIXED CODE ###

n,k = map(int, input().split())
s = input()
 
t = s[:k-1]+str.lower(s[k-1])+s[k:]
print(t)
i = list(map(int, input().split())
if i[0]==i[1] and i[0]!=i[2]:
         print("Yes")
elif i[0]==i[2] and i[0]!=i[1]:
         print("Yes")
elif i[1]==i[2] and i[0]!=i[2]:
         print("Yes")   
else:
         print("No")

### FIXED CODE ###

i=list(map(int, input().split()))
if i[0]==i[1] and i[0]!=i[2]:
         print("Yes")
elif i[0]==i[2] and i[0]!=i[1]:
         print("Yes")
elif i[1]==i[2] and i[0]!=i[2]:
         print("Yes")   
else:
         print("No")
import sys
sys.setrecursionlimit(10**6)
from operator import mul
from functools import reduce

def comb(n,r):
    r = min(n-r,r)
    if r == 0: return 1
    over = reduce(mul, range(n, n - r, -1))
    under = reduce(mul, range(1,r + 1))
    return over // under


def dfs(v, cur):
    color[v] = cur
    
    for next_v in Graph[v]:
        if color[next_v] != -1:
            if color[next_v] != cur:
                continue
            else:
                return False
        elif not dfs(next_v, 1-cur):
            return False
    return True
        


N, M = map(int, input().split())
AB = [[int(_) for _ in input().split()] for _ in range(M)]
Graph = [[] for _ in range(N)]
color = [-1]*N

for i in AB:
    Graph[i[0]-1].append(i[1]-1)
    Graph[i[1]-1].append(i[0]-1)

if dfs(0, 0):
  	black = color.count(0)
    white = N - black
    print(black*white-M)
else:
    print(comb(N, 2)-M)

### FIXED CODE ###

import sys
sys.setrecursionlimit(10**6)
from operator import mul
from functools import reduce

def comb(n,r):
    r = min(n-r,r)
    if r == 0: return 1
    over = reduce(mul, range(n, n - r, -1))
    under = reduce(mul, range(1,r + 1))
    return over // under


def dfs(v, cur):
    color[v] = cur
    
    for next_v in Graph[v]:
        if color[next_v] != -1:
            if color[next_v] != cur:
                continue
            else:
                return False
        elif not dfs(next_v, 1-cur):
            return False
    return True
        


N, M = map(int, input().split())
AB = [[int(_) for _ in input().split()] for _ in range(M)]
Graph = [[] for _ in range(N)]
color = [-1]*N

for i in AB:
    Graph[i[0]-1].append(i[1]-1)
    Graph[i[1]-1].append(i[0]-1)

if dfs(0, 0):
    black = color.count(0)
    white = N - black
    print(black*white-M)
else:
    print(comb(N, 2)-M)
s = input()
max_ = 0
pre = s[0]
ren = 1
for i in range(1, len(s)):
    if s[i] == pre:
        ren += 1
        max_ = max(max_, ren)
    else:
        ren = 1
        pre = s[i]
from collections import deque
status = deque([[1] * len(s)])
for i in range(max_):
    sta = [0] * len(s)
    if s[1] == 'L':
        sta[0] = status[i][1]
    else:
        sta[0] = 0
    if s[-2] == 'R':
        sta[-1] = status[i][-2]
    else:
        sta[-1] = 0
    a = [[1] * len(s)]
    for j in range(1, len(s) - 1):
        #print(sta)
        if s[j - 1] == 'R':
            sta[j] += status[i][j - 1]
        if s[j + 1] == 'L':
            sta[j] += status[i][j + 1]
    status.append(sta)
for i in range(1 + max_ - 2):
    status.popleft()
if (max_ - 2) % 2 == 0:
    print(' '.join([str(i) for i in status[1]]))
else:
    print(' '.join([str(i) for i in status[0]]))

### FIXED CODE ###

li = input()
n = len(li)
child_li = [0] * n

ruiseki = 0
for i in range(n - 1):
    if li[i] == 'R':
        ruiseki += 1
        if li[i + 1] == 'L':
            child_li[i + 1] = ruiseki // 2
            child_li[i] = (ruiseki + 1) // 2
    else:
        ruiseki = 0
        
ruiseki = 0
for i in range(n - 1, 0, -1):
    if li[i] == 'L':
        ruiseki += 1
        if li[i - 1] == 'R':
            child_li[i - 1] += ruiseki // 2
            child_li[i] += (ruiseki + 1) // 2
    else:
        ruiseki = 0
print(*child_li)
import sys
a = []
for l in sys.stdin:
    a.append(int(l))
if (a % 10 == 3):
   print('bon')
elif (a % 10 == 0) or (a % 10 == 1) or (a % 10 == 6) or (a % 10 == 8):
   print('pon')
else:
   print('hon')

### FIXED CODE ###

import sys
#a = []
#for l in sys.stdin:
#    a.append(int(l))
a = int(input())
if a % 10 == 3:
   print('bon')
elif a % 10 == 0 or a % 10 == 1 or a % 10 == 6 or a % 10 == 8:
   print('pon')
else:
   print('hon')
S = input()
if (len(S) > 0) and (len(S.replace('eraser', '').replace('erase', '').replace('dreamer', '').replace('dream', '')) == 0):
print('YES')
else:
print('NO')


### FIXED CODE ###

S = input()
if len(S) == 0:
  print('NO')
else:
  if len(S.replace('eraser', '').replace('erase', '').replace('dreamer', '').replace('dream', '')) == 0:
    print('YES')
  else:
    print('NO')
#!/usr/bin/env python3
import math
a, b = map(int, input().split())
print(int(a*b/math.gcd(a,b)))


### FIXED CODE ###

#!/usr/bin/env python3
from fractions import gcd 
a, b = map(int, input().split())
print(int(a*b/gcd(a,b)))
import bisect
n, k = map(int, input().split())
a = list(map(int, input().split()))
a.sort()
l = 0
r = 10 ** 19

def check(mid):
    ret = 0
    for ai in a:
        ret += bisect.bisect_right(a, mid // ai)
    return ret

while True:
    if r - l < 1:
        print(mid)
        break
    mid = (l + r) //2
    if check(mid) < k:
        l = mid
    else:
        r = mid


### FIXED CODE ###

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

a.sort()

def check(t):
    j = n - 1 if t > 0 else 0
    res = 0
    f = 1

    cond = lambda x, t, f:x <= t if f * t > 0 or (t == 0 and f == -1) else x > t
    shift = lambda x, t:x-1 if t > 0 else x+1
    count = lambda x, n, f:n-x if f == 1 else x

    for ai in a:
        if f == 1 and ai > 0:
            f = -1
            j = n - 1 if t > 0 else 0
        if ai:
            while j >= 0 and j < n and cond(ai * a[j], t, f):
                j = shift(j, t)
            if t > 0:
                res += count(j+1, n, f)
            else:
                res += count(j, n, f)
        else:
            if t >= 0:
                res += n
        if ai * ai <= t:
            res -= 1
    return res // 2
            

m = max(max(a)**2, min(a)**2)
l = -m
r = m

while r - l > 1:
    mid = (l + r) // 2
    if check(mid) < k:
        l = mid
    else:
        r = mid

if check(l) == k:
    print(l)
else:
    print(r)
import itertools
N, X = map(int, input().split())
S = list(map(int, input().split()))
ans = 0

for tpl in itertools.permutations(S):
    x = X
    if 1 in tpl:
        continue

    for y in tpl:
        x = x % y
        if x == 0 or x == 1:
            break
    ans += x
print(ans % (10**9 + 7))

### FIXED CODE ###

A, B, C = map(int, input().split())
# max_ABC = max(A, max(B, C))
# rest = (A + B + C) - max_ABC

if A == B and B == C:
    print('Yes')
else:
    print('No')
coin_value = [[500, 1000], [5, 5]]
result = 0
x = int(input().strip())
idx = 0
for coin, value in coin_values:
    result += value * (x // coin)
    x = x - x // coin * coin
  
print(result)
  
  

### FIXED CODE ###

coin_values = [[500, 1000], [5, 5]]
result = 0
x = int(input().strip())
idx = 0
for coin, value in coin_values:
    result += value * (x // coin)
    x = x - x // coin * coin
  
print(result)
n = int(input())
s = input()
if (s[:int(n/2)] == s[int(n/2):n] :
    print("Yes")
else
    print("No")

### FIXED CODE ###

n = int(input())
s = input()
if s[:int(n/2)] == s[int(n/2):n] :
    print("Yes")
else:
    print("No")
N, A, B = list(map(int, input().split(' ')))

C = A^B
c = format(A^B, 'b')
p = list()
p.append(A)
for i in range(len(c)):
    if int(c[len(c)-1-i]) == 1:
        tmp = p[-1] ^ (C & (1 << i))
        p.append(tmp)
for i in range(2**N-len(p)):
    p.append(p[-2])
if B == p[2**N-1]:
    print('YES')
    for i in range(len(p)):
        print(p[i], end=' ')
else:
    print('NO')

### FIXED CODE ###

N = int(input())
S = list(input())

sum = 1
for s in set(S):
    sum *= S.count(s) + 1
    sum %= 10**9 + 7
sum -= 1
sum %= 10**9 + 7
print(sum)
import math

x, y = map(int, input().split())
m = (2*x-y)/3
n = (-x+2*y)/3
print(m,n)
if m.is_integer() == n.is_integer() == True:
    ans = math.factorial(m+n)/(math.factorial(m)*math.factorial(n))
else:
    ans = 0

print(int(ans%(10**9+7)))

### FIXED CODE ###

MAX = 1000010
finv = [0] * MAX
inv = [0] * MAX
def COMinit():
    finv[0] = finv[1] = 1
    inv[1] = 1
    for i in range(2, MAX):
        inv[i] = MOD - inv[MOD%i] * (MOD//i) % MOD
        finv[i] = finv[i-1] * inv[i] % MOD

def COM(n, k):
    res = 1
    for i in range(k):
        res = res * (n-i) % MOD
    return res * finv[k] % MOD

MOD = 10**9+7
x, y = map(int, input().split())
s, t = (-x+2*y)/3, (2*x-y)/3

if s < 0 or t < 0:
    ans = 0
elif not (s.is_integer() and t.is_integer()):
    ans = 0
else:
    s, t = int(s), int(t)
    COMinit()
    ans = COM((s+t), s)

print(ans)
N = map(int,input().split())
W = list(map(int,input().split()))

min_list = []
for i in range(N):
    S1 = sum(W[0:i])
    S2 = sum(W) - sum(W[0:i])
    mi = abs(S1-S2)
    min_list.append(mi)
print(min(min_list))


### FIXED CODE ###

n = int(input())
w = list(map(int, input().split()))
 
min_diff = 1000
for i in range(n):
	diff = abs(sum(w[0:i]) - sum(w[i:]))
	if diff < min_diff:
		min_diff = diff
print(min_diff)
N,L=map(int, input().split())
 
sum = 0
lower = 100
for i in range(1, N+1):
    sum = sum + L + i -1
for i in range(1, N+1):
    s = abs(L + i -1)
    if s < lower:
        lower = s
        ij = i
 
print(sum - (L + ij -1))

### FIXED CODE ###

S = list(input())
S.append("%")
a=0
for i in range(4):
    if ( S[i] == S[i+1]):
        a =1

if a == 1:
    print("Bad")
else:
    print("Good")