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

from collections import deque
n = int(input())
matrix= []
lis = [[] for i in range(n)]
ans = [[0 for i in range(n)] for j in range(n)]
for i in range(n-1):
    a,b = map(int, input().split())
    a -= 1
    b -= 1
    matrix.append(sorted([a,b]))
    lis[a].append(b)
    lis[b].append(a)
color = [-1 for _ in range(n)]
queue = deque([0])
color[0] = 1001001001
maxc = 0
while len(queue) > 0:
    now = queue.pop()
    used = color[now]
    tmp = 1
    for i in lis[now]:
        if color[i] == -1:
            queue.append(i)
            if tmp == used:
                tmp += 1
            color[i] = tmp
            ans[now][i] = tmp
            ans[i][now] = tmp
            maxc = max(maxc, tmp)
            tmp += 1
print(maxc)
for i in range(n-1):
    root = matrix[i]
    print(ans[root[0]][root[1]])

### FIXED CODE ###

from collections import deque
n = int(input())
matrix= []
lis = [[] for i in range(n)]
ans = {}
for i in range(n):
    ans[i] = {}
for i in range(n-1):
    a,b = map(int, input().split())
    a -= 1
    b -= 1
    matrix.append(sorted([a,b]))
    lis[a].append(b)
    lis[b].append(a)
color = [-1 for _ in range(n)]
queue = deque([0])
color[0] = 1001001001
maxc = 0
while len(queue) > 0:
    now = queue.pop()
    used = color[now]
    tmp = 1
    for i in lis[now]:
        if color[i] == -1:
            queue.append(i)
            if tmp == used:
                tmp += 1
            color[i] = tmp
            ans[now][i] = tmp
            ans[i][now] = tmp
            maxc = max(maxc, tmp)
            tmp += 1
print(maxc)
for i in range(n-1):
    root = matrix[i]
    print(ans[root[0]][root[1]])
### BUGGY CODE ###

N,K = map(int,input().split())
A = [int(i) for i in input().split()]

counter = 0
d = {}
types = list(set(A))

for i in range(len(types)):
    d[str(types[i])] = A.count(types[i])

while len(d) > K:
    minKey = min(d, key=d.get)
    counter += d[minKey]
    del d[minKey]
print(counter)

### FIXED CODE ###

from collections import Counter

N,K = map(int,input().split())
A = [i for i in input().split()]

altCounter = 0
d = Counter(A).most_common()
d = d[::-1]

for i in range(len(d)-K):
    altCounter += d[i][1]

print(altCounter)
### BUGGY CODE ###

n = int(input())
num_list = []
for _ in range(n):
    num_list.append(int(input()))

copy = num_list.copy()
copy.sort()
maximum = copy[-1]

for i in range(n):
    if num_list[i] == maximum:
        tmp = num_list[:i]+num_list[i+1:]
        tmp.sort()
        print(tmp[-1])
    else:
        print(maximum)

### FIXED CODE ###

n = int(input())
num_list = []
for _ in range(n):
    num_list.append(int(input()))

copy =  num_list.copy()
copy.sort()
maximum = copy[-1]
second = copy[-2]

for i in num_list:
    if i == maximum:
        print(second)
    else:
        print(maximum)
### BUGGY CODE ###

import bisect
import collections
import sys

sys.setrecursionlimit(10 ** 8)
read = sys.stdin.buffer.read
readline = sys.stdin.buffer.readline
readlines = sys.stdin.buffer.readlines

S = readline().rstrip()
T = readline().rstrip()
if len(S) < len(T):
    S, T = T, S


def solve():
    index = collections.defaultdict(list)
    for i, sc in enumerate(S):
        index[sc].append(i)
    dp = [None] * len(T)
    for i, tc in enumerate(T):
        if tc not in index:
            continue
        dn = list(dp)
        ii = index[tc]
        if dn[0] is None or dn[0][0] > ii[0]:
            dn[0] = (ii[0], chr(tc))
        for j in range(1, len(T)):
            if dp[j - 1] is None:
                break
            k = bisect.bisect_right(ii, dp[j - 1][0])
            if k < len(ii) and (dn[j] is None or dn[j][0] > ii[k]):
                dn[j] = (ii[k], dp[j - 1][1] + chr(tc))
        dp = dn
    for i in range(len(T) - 1, -1, -1):
        if dp[i] is not None:
            return dp[i][1]
    return ""


if __name__ == "__main__":
    print(solve())


### FIXED CODE ###

import bisect
import collections
import sys

sys.setrecursionlimit(10 ** 8)
read = sys.stdin.buffer.read
readline = sys.stdin.buffer.readline
readlines = sys.stdin.buffer.readlines

S = readline().rstrip()
T = readline().rstrip()
if len(S) < len(T):
    S, T = T, S


def pretty(ss):
    buf = []
    while ss is not None:
        s, ss = ss
        buf.append(s)
    buf.reverse()
    return "".join(buf)


def solve():
    index = collections.defaultdict(list)
    for i, sc in enumerate(S):
        index[sc].append(i)
    dp = [None] * len(T)
    for i, tc in enumerate(T):
        if tc not in index:
            continue
        dn = list(dp)
        ii = index[tc]
        if dn[0] is None or dn[0][0] > ii[0]:
            dn[0] = (ii[0], [chr(tc), None])
        for j in range(1, len(T)):
            if dp[j - 1] is None:
                break
            k = bisect.bisect_right(ii, dp[j - 1][0])
            if k < len(ii) and (dn[j] is None or dn[j][0] > ii[k]):
                dn[j] = (ii[k], [chr(tc), dp[j - 1][1]])
        dp = dn
    for i in range(len(T) - 1, -1, -1):
        if dp[i] is not None:
            return pretty(dp[i][1])
    return ""


if __name__ == "__main__":
    print(solve())
### BUGGY CODE ###

N = int(input())
d = list(map(int, input().split()))
ans = []
for i in range(0, N - 2):
    for j in range(i + 1, N - 1):
        for k in range(j + 1, N):
            if (d[i] < (d[j] + d[k])) & (d[j] < (d[i] + d[k])) & (d[k] < (d[j] + d[i])):
                ans.append(sorted([d[i], d[j], d[k]]))

seen = []
ans = [x for x in ans if x not in seen and not seen.append(x)]
print(len(ans))

### FIXED CODE ###

from bisect import bisect_left

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

L.sort()
result = 0
for i in range(N - 2):
    for j in range(i + 1, N - 1):
        result += bisect_left(L, L[i] + L[j]) - j - 1
print(result)
### BUGGY CODE ###

import sys
input = sys.stdin.readline
N = int(input())

g = [[] for _ in range(N+1)]
dist = [[-1]*(N+1) for _ in range(N+1)]
for i in range(N-1):
    a, b, c = map(int, input().split())
    g[a].append([b, c])
    g[b].append([a, c])
    
Q, K = map(int, input().split())

cost = [-1] * (N+1)
cost[K] = 0
temp = [K]
while temp:
    p = temp.pop()
    for q in g[p]:
        if cost[q[0]] == -1:
            cost[q[0]] = cost[p] + q[1]
            temp.append(q[0])

for i in range(Q):
    x, y = map(int, input().split())
    print(cost[x] + cost[y])


### FIXED CODE ###

import sys
input = sys.stdin.readline
N = int(input())

g = [[] for _ in range(N+1)]

for i in range(N-1):
    a, b, c = map(int, input().split())
    g[a].append([b, c])
    g[b].append([a, c])
    
Q, K = map(int, input().split())

cost = [-1] * (N+1)
cost[K] = 0
temp = [K]
while temp:
    p = temp.pop()
    for q in g[p]:
        if cost[q[0]] == -1:
            cost[q[0]] = cost[p] + q[1]
            temp.append(q[0])

for i in range(Q):
    x, y = map(int, input().split())
    print(cost[x] + cost[y])
### BUGGY CODE ###

def Triangles(N, Lrand):
    L = sorted(Lrand)
    cnt = 0
    for i in range(N):
        for j in range(i+1, N):
            L2 = L[i] + L[j]
            for k in range(j+1, N):
                if L[k] >= L2: break
                cnt += 1
    return cnt

N = int(input())
L = [int(x) for x in input().split()]
print(Triangles(N, L))

### FIXED CODE ###

from bisect import bisect_left

def Triangles(N, L):
    asc = sorted(L)
    cnt = 0
    for i in range(N-2):
        l1 = asc[i]
        for j in range(i+1, N-1):
            l2 = asc[j]
            pos = bisect_left(asc, l1+l2)
            cnt += pos - 1 - j
    return cnt

N = int(input())
L = list(map(int, input().split()))
print(Triangles(N, L))
### BUGGY CODE ###

mod = 10 ** 9 + 7

N, *A = map(int, open(0).read().split())

B = [0] * 62
for a in A:
    for i in range(62):
        if a >> i & 1:
            B[i] += 1

ans = 0
for i, b in enumerate(B):
    ans += ((N - b) * b % mod) * pow(2, i, mod)
    ans %= mod

print(ans)


### FIXED CODE ###

mod = 10 ** 9 + 7

N, *A = map(int, open(0).read().split())

B = [0] * 62
for a in A:
    for i in range(62):
        if a >> i & 1:
            B[i] += 1

ans = 0
for i, b in enumerate(B):
    ans += ((N - b) * b % mod) * pow(2, i, mod)
    ans %= mod

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

import sys
n,m=map(int,input().split())
abc=[list(map(int,input().split())) for i in range(m)]
data=[[] for i in range(n+1)]
for u in abc:
    a,b,c=u
    data[a].append([b,c])
inf=float("inf")
lst=[-inf]*(n+1)
lst[1]=0
que=[1]
count=0
while que:
    h=[]
    for u in que:
        for v in data[u]:
            w,c=v
            lst[w]=max(lst[w],lst[u]+c)
            h.append(w)
    que=h
    count+=1
    if count==m:
        a=lst[n]
    if count==2*m+5:
        b=lst[n]
        break
else:
    print(lst[n])
    sys.exit()
if b>a:
    print("inf")
else:
    print(lst[n])

### FIXED CODE ###

n,m=map(int,input().split())
abc=[list(map(int,input().split())) for i in range(m)]

inf=float("inf")
data=[-inf]*(n+1)
data[1]=0
for i in range(n):
    for a,b,c in abc:
        if data[a]!=inf:
            data[b]=max(data[b],data[a]+c)

lst=data[:]
for i in range(n):
    for a,b,c in abc:
        if data[a]!=inf:
            data[b]=max(data[b],data[a]+c)

que=[]
for i in range(1,n+1):
    if lst[i]!=data[i]:
        que.append(i)
        
flag=[0]*(n+1)
for u in que:
    flag[u]=1

li=[[] for i in range(n+1)]
for a,b,c in abc:
    li[a].append(b)

while que:
    h=que.pop()
    for u in li[h]:
        if flag[u]==0:
            flag[u]=1
            que.append(u)

if flag[n]==1:
    print("inf")
else:
    print(data[n])
### BUGGY CODE ###

import itertools
import math
n = int(input())
a = []
for i in range(1, int(n-1)):
  a += [i]*3
xyz_list = list(set(list(itertools.combinations(a, 3))))
xyz_list.sort()
nn = int(math.sqrt(n/6))
dic = {}
for i in range(1, n+1):
  dic[i] = 0
for xyz in xyz_list:
  x, y, z = xyz[0], xyz[1], xyz[2]
  if x > nn and y > nn and z > nn:
    break
  sum1 = x**2 + y**2 + z**2 + x*y + y*z + z*x
  if sum1 in dic:
    if len(set(xyz)) == 1:
      dic[sum1] += 1
    elif len(set(xyz)) == 2:
      dic[sum1] += 3
    else:
      dic[sum1] += 6
for i in range(1, n+1):
  print(dic[i])

### FIXED CODE ###

import itertools
n = int(input())
dic = {}
for x in range(1, 101):
  for y in range(1, 101):
    for z in range(1, 101):
      f_xyz = x**2 + y**2 + z**2 + x*y + y*z + z*x
      if f_xyz in dic:
        dic[f_xyz] += 1
      else:
        dic[f_xyz] = 1
for i in range(1, n+1):
  if i in dic:
    print(dic[i])
  else:
    print(0)
### BUGGY CODE ###

import sys
input = sys.stdin.readline
def I(): return int(input())

result = -1
num = 7
K = I()

if K % 2 == 0 or K %  5 == 0:
    print(-1)
    sys.exit()

for i in range(10**7):
    if num % K == 0:
        print(i+1)
        sys.exit()
    else:
        num += 7*10**(i+1)

### FIXED CODE ###

import sys
input = sys.stdin.readline
def I(): return int(input())


def main():
    K = I()
    if K % 2 == 0 or K %  5 == 0:
        print(-1)
        exit()
    if K % 7 == 0:
        K = 9*K//7
    else:
        K = 9*K
    amari = 1
    for i in range(10**6):
        amari = amari*10 % K
        if amari == 1:
            print(i+1)
            exit()
    print(-1)

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

# encoding:utf-8
import copy
import random
import bisect #bisect_left　これで二部探索の大小検索が行える
import fractions #最小公倍数などはこっち
import math
import sys
import collections

mod = 10**9+7
sys.setrecursionlimit(mod) # 再帰回数上限はでdefault1000

d = collections.deque()
def LI(): return list(map(int, sys.stdin.readline().split()))

N, K = LI()
p = LI()
ps = []
for i in range(N):
    ps.append((p[i] + 1) / 2)

anss = []
for i in range(N - K + 1):
    anss.append(sum(ps[i : i + K]))
print(max(anss))


### FIXED CODE ###

# encoding:utf-8
import copy
import random
import bisect #bisect_left　これで二部探索の大小検索が行える
import fractions #最小公倍数などはこっち
import math
import sys
import collections

mod = 10**9+7
sys.setrecursionlimit(mod) # 再帰回数上限はでdefault1000

d = collections.deque()
def LI(): return list(map(int, sys.stdin.readline().split()))

N, K = LI()
p = LI()
ps = []
for i in range(N):
    ps.append((p[i] + 1) / 2)

anss = []
tmp = 0
for i in range(N):
    tmp += ps[i]
    if i > K - 1:
        tmp -= ps[i - K]
    anss.append(tmp)

print(max(anss))
### BUGGY CODE ###

def nishin(n):
  return str(bin(n)[2:])[::-1]
N=int(input())
L=list(map(int,input().split()))
mod=1000000007
ans=sum(L)*(N-1)
c=[0]*61
for i in L:
  i=nishin(i)
  for j in range(len(i)):
    if i[j]=="1":
      c[j]+=1
for i in range(61):
  ans-=(pow(2,i,mod)*c[i]*(c[i]-1))%mod
print(ans%mod)

### FIXED CODE ###

def nishin(n):
  return str(bin(n)[2:])[::-1]
N=int(input())
L=list(map(int,input().split()))
mod=1000000007
ans=sum(L)*(N-1)
c=[0]*61
for i in L:
  i=nishin(i)
  for j in range(len(i)):
    if i[j]=="1":
      c[j]+=1
for i in range(61):
  ans-=(pow(2,i,mod)*c[i]*(c[i]-1))%mod
print(ans%mod)
### BUGGY CODE ###

from fractions import gcd


def p_c():
    n = int(input())
    *a, = map(int, input().split())
    ans = []
    for i in range(n):
        tmp = a[i]
        a[i] = 0
        g = a[0]
        for j in range(1, n):
            g = gcd(g, a[j])
        ans.append(g)
        a[i] = tmp
    print(max(ans))
    
p_c()

### FIXED CODE ###

from fractions import gcd


def p_c():
    n = int(input())
    *a, = map(int, input().split())
    L = [0] * n
    R = [0] * n
    for i in range(n - 1):
        L[i] = gcd(L[i - 1], a[i])
        R[n - 1 - i] = gcd(R[(n - i) % n], a[n - 1 - i])
    ans = [gcd(L[i - 1], R[(i + 1) % n]) for i in range(n)]
    print(max(ans))

p_c()
### BUGGY CODE ###

# coding:UTF-8
import sys
from math import factorial

MOD = 10 ** 9 + 7
INF = 10000000000

# 素数列挙
def primeNumList(n):
    d = [d for d in range(0, n+1)]
    if n < 2:
        return [[],d]
    is_prime = [True] * (n + 1)
    is_prime[0] = False
    is_prime[1] = False
    for i in range(2, int(n ** 0.5) + 1):
        if not is_prime[i]:
            continue
        for j in range(i * 2, n + 1, i):
            is_prime[j] = False
            d[j] = i
    return [[i for i in range(n + 1) if is_prime[i]], d]

def main():
    # ------ 入力 ------#
    n = int(input())    # 数字
    aList = list(map(int, input().split()))     # スペース区切り連続数字

    # ------ 処理 ------#
    amax = max(aList)
    pl = primeNumList(amax)
    countList = [0] * (amax+1)

    if pl[0] != []:
        for a in aList:
            at = a
            sl = []
            while at != 1:
                s = pl[1][at]
                sl.append(s)
                at = int(at / s)
            sl2 = list(set(sl))
            for s in sl2:
                countList[s] += 1
        m = max(countList)
    else:
        m = 0

    # ------ 出力 ------#
    if m == len(aList):
        print("not coprime")
    elif m >= 2:
        print("setwise coprime")
    else:
        print("pairwise coprime")


if __name__ == '__main__':
    main()


### FIXED CODE ###

# coding:UTF-8
import sys
from math import factorial

MOD = 10 ** 9 + 7
INF = 10000000000

# 素数列挙
def primeNumList(n):
    d = [d for d in range(0, n+1)]
    if n < 2:
        return [[],d]
    is_prime = [True] * (n + 1)
    is_prime[0] = False
    is_prime[1] = False
    for i in range(2, int(n ** 0.5) + 1):
        if not is_prime[i]:
            continue
        for j in range(i * 2, n + 1, i):
            is_prime[j] = False
            d[j] = i
    return [[i for i in range(n + 1) if is_prime[i]], d]

def main():
    # ------ 入力 ------#
    n = int(input())    # 数字
    aList = list(map(int, input().split()))     # スペース区切り連続数字

    # ------ 処理 ------#
    amax = max(aList)
    pl = primeNumList(amax)
    countList = [0] * (amax+1)

    if pl[0] != []:
        for a in aList:
            at = a
            sl = []
            while at != 1:
                s = pl[1][at]
                sl.append(s)
                at = int(at / s)
            sl2 = list(set(sl))
            for s in sl2:
                countList[s] += 1
        m = max(countList)
    else:
        m = 0

    # ------ 出力 ------#
    if m == len(aList):
        print("not coprime")
    elif m >= 2:
        print("setwise coprime")
    else:
        print("pairwise coprime")


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

A = [0] * (10**6)

S = input()
T = input()
lenS = len(S)
lenT = len(T)
F1 = [False]*26
F2 = [False]*26
alpha = 'abcdefghijklmnopqrstuvwxyz'
for i in range(lenS):
    F1[alpha.index(S[i])] = True
for i in range(lenT):
    F2[alpha.index(T[i])] = True
for i in range(26):
    if not F1[i] and F2[i]:
        print(-1)
        exit()

ind = S.index(T[0])
ans = ind+1
for i in range(1,lenT):
    S = S[ind+1:] + S[:ind+1]
    ind = S.index(T[i])
    ans += ind+1

print(ans)


### FIXED CODE ###

from collections import defaultdict
from bisect import bisect_right

def sol():
    S = input()
    T = input()

    setS = set(S)
    setT = set(T)
    for t in setT:
        if not t in setS:
            print('-1')
            return

    posS = defaultdict(list)

    for i, s in enumerate(S):
        posS[s].append(i)

    for s in enumerate(S):
        posS[s].sort()

    prev = -1
    ans = 0
    N = len(S)

    for t in T:
        next = bisect_right(posS[t], prev)
        if next >= len(posS[t]):
            ans += N - prev
            ans += posS[t][0]
            prev = posS[t][0]
        else:
            ans += posS[t][next] - prev
            prev = posS[t][next]

    print(ans)

sol()
### BUGGY CODE ###

# C
import functools
def gcd(a,b):
    if a<b:a,b=b,a
    if a%b==0:return b
    return gcd(b,a%b)

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

ans = 0
pre_a = -1
pre_gcd = a[0]

if n > 1000:
    for i in range(n):
        if i >= 1:
            pre_gcd = functools.reduce(gcd, [pre_gcd, a[i-1]])
        values = a[i+1:]
        values.append(pre_gcd)

        res = functools.reduce(gcd, values)
        ans = max(ans, res)
        pre_a = a[i]
else:
    for i in range(n):
        if pre_a != a[i]:
            values = a[:i] + a[i+1:]
            res = functools.reduce(gcd, values)
            ans = max(ans, res)
        pre_a = a[i]

print(ans)

### FIXED CODE ###

# C
import functools
# 3.4以前は math の gcd が対応していないので fractions のものを使う
# from fractions import gcd
def gcd(a,b):
    if a<b:a,b=b,a
    if a%b==0:return b
    return gcd(b,a%b)


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

gcd_left = [a[0]]
gcd_right = [a[-1]]
for i in range(1,n):
    if gcd_left[i-1] != 1:
        res = gcd(gcd_left[i-1], a[i])
    else:
        res = 1
    gcd_left.append(res)

for i in range(1,n):
    if gcd_right[i-1] != 1:
        res = gcd(gcd_right[i-1], a[-(i+1)])
    else:
        res = 1
    gcd_right.append(res)
gcd_right = gcd_right[::-1]


ans = 0
for i in range(n):
    if i == 0:
        res = gcd_right[1]
    elif i == n-1:
        res = gcd_left[-2]
    else:
        res = gcd(gcd_right[i+1], gcd_left[i-1])
    ans = max(res, ans)
print(ans)
### BUGGY CODE ###

N = int(input())

s = input()

res = 0

search = [("00"+str(s))[-3:] for s in range(0,1000)]

for v in search:
    k = 0
    for j in range(N):
        if s[j] == v[k]:
            k += 1
        if k == 3:
            res += 1
            break
print(res)            


### FIXED CODE ###

N = int(input())

s = input()

res = 0

search = [("00"+str(s))[-3:] for s in range(0,1000)]

for v in search:
    tmp = s
    if v[0] in tmp:
        tmp = tmp[tmp.index(v[0])+1:]
    else:
        continue
    if v[1] in tmp:
        tmp = tmp[tmp.index(v[1])+1:]
    else:
        continue
    if v[2] in tmp:
        res += 1
print(res)
### BUGGY CODE ###

n = int(input())

linked_list = []

for _ in range(n):
    command = input()

    if "insert" in command:
        x = command.split()[-1]
        linked_list.insert(0, x)
    elif command == "deleteFirst":
        del linked_list[0]
    elif command == "deleteLast":
        del linked_list[-1]
    elif "delete" in command:
        x = command.split()[-1]
        if x in linked_list:
            del linked_list[linked_list.index(x)]

print(*linked_list)



### FIXED CODE ###

from collections import deque

n = int(input())

linked_list = deque([])

for _ in range(n):
    command = input()

    if "insert" in command:
        x = command.split()[-1]
        linked_list.appendleft(x)
    elif command == "deleteFirst":
        linked_list.popleft()
    elif command == "deleteLast":
        linked_list.pop()
    elif "delete" in command:
        x = command.split()[-1]
        if x in linked_list:
            linked_list.remove(x)

print(*linked_list)
### BUGGY CODE ###

n = int(input())
A = list(map(int, input().split()))
B = list(map(int, input().split()))
AB = list(list(zip(A,B)))
AB.sort(key=lambda x: x[1])

flag = False
k = 0
while(not flag and k<n):
    if AB[k][0] <= AB[k][1]:
        ABd = AB[:k] + AB[k+1:]


        ABds = sorted(ABd, key=lambda x: x[0])

        for i in range(n-1):
            if ABds[i][0] > ABd[i][1]:
                break
        else:
            flag = True

    k += 1

if flag:
    print('Yes')
else:
    print('No')

### FIXED CODE ###

n = int(input())
lsa = list(map(int, input().split()))
lsb = list(map(int, input().split()))

ls = [[a, b] for a, b in zip(lsa, lsb)]
ls.sort(key=lambda x: x[1])
lsa = [l[0] for l in ls]
lsb = [l[1] for l in ls]

lsasort = sorted(lsa)
for i in range(n):
    if lsasort[i]>lsb[i]:
        flag = False
        break
else:
    flag = True

if flag:
    lscycle = [[p, q] for p, q in zip(range(n), lsa)]
    lscycle.sort(key=lambda x: x[1])

    count=0
    idx=0
    while True:
        idx=lscycle[idx][0]
        count+=1
        if idx == 0:
            break

    if count != n:
        flag = True
    else:
        for i in range(n-1):
            if lsasort[i+1] <= lsb[i]:
                flag = True
                break
        else:
            flag = False

if flag:
    print("Yes")
else:
    print("No")