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

import itertools

x,y,z,k = map(int,input().split())
A = list(map(int,input().split()))
B = list(map(int,input().split()))
C = list(map(int,input().split()))

AB = [a + b for (a,b) in list(itertools.product(A,B))]
AB.sort(reverse = True)
ans = [ab + c for (ab,c) in list(itertools.product(AB[:min(3000,x*y*z)],C))]
ans.sort(reverse = True)
for i in range(k):
    print(ans[i])

### FIXED CODE ###

import itertools

x,y,z,k = map(int,input().split())
A = list(map(int,input().split()))
B = list(map(int,input().split()))
C = list(map(int,input().split()))

AB = [a + b for (a,b) in list(itertools.product(A,B))]
AB.sort(reverse = True)
ans = [ab + c for (ab,c) in list(itertools.product(AB[:min(3000,x*y*z)],C))]
ans.sort(reverse = True)
for i in range(k):
    print(ans[i])
### BUGGY CODE ###

from itertools import combinations

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

ans = 100000000
for tup in combinations(P, K):
    price = sum(tup)
    ans = min(price,ans)
print(ans)

### FIXED CODE ###

from itertools import combinations

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

P.sort()
print(sum(P[:K]))
### BUGGY CODE ###

import sys
readline = sys.stdin.readline

H, W = map(int, readline().split())
rW = range(W); rH = range(H)
S = [readline() for i in rH]
P = [[0]*W for i in rH]
for i in rH:
    p = -1
    Si = S[i]
    Pi = P[i]
    for j in rW:
        if Si[j] == '#':
            c = j - p - 1
            Pi[p+1:j] = (c for k in range(c))
            p = j
    c = W - p - 1
    Pi[p+1:W] = (c for k in range(c))

ans = 0
U = [-1]*W
V = [0]*W
for i in rH:
    Si = S[i]
    for j in rW:
        if Si[j] == '#':
            ans = max(ans, V[j] + (i - U[j] - 1))
            V[j] = 0
            U[j] = i
        else:
            V[j] = max(V[j], P[i][j])
for j in rW:
    ans = max(ans, V[j] + (H - U[j] - 1))
sys.stdout.write("%d\n" % (ans - 1))

### FIXED CODE ###

H, W = map(int, input().split())
S = [input() for i in range(H)]
P = [[0]*W for i in range(H)]
Q = [[0]*W for i in range(H)]
for i in range(H):
    p = -1
    for j in range(W):
        if S[i][j] == '#':
            c = j - p - 1
            for k in range(p+1, j):
                P[i][k] = c
            p = j
    c = W - p - 1
    for k in range(p+1, W):
        P[i][k] = c
for j in range(W):
    p = -1
    for i in range(H):
        if S[i][j] == '#':
            c = i - p - 1
            for k in range(p+1, i):
                Q[k][j] = c
            p = i
    c = H - p - 1
    for k in range(p+1, H):
        Q[k][j] = c
ans = 0
for i in range(H):
    for j in range(W):
        if S[i][j] != '#':
            ans = max(ans, P[i][j] + Q[i][j])
print(ans - 1)
### BUGGY CODE ###

N, W = map(int, input().split())
knap = []
for i in range(N):
    knap.append(list(map(int, input().split())))
    
dp = [[0 for _ in range(W+1)] for _ in range(N+1)]

for i in range(N):
    for j in range(W+1):
        if(j >= knap[i][0]):
            dp[i+1][j] = max(dp[i][j], dp[i][j-knap[i][0]]+knap[i][1])
        else:
            dp[i+1][j] = dp[i][j]

print(dp[-1][W])

### FIXED CODE ###

import numpy as np

N, W = map(int, input().split())
knap = []

for _ in range(N):
    knap.append(tuple(map(int, input().split())))
    
dp = np.zeros((N+1, W+1), dtype=np.int64)

for i, (w, v) in enumerate(knap):
    dp[i+1] = np.maximum(dp[i+1], dp[i])
    dp[i+1][w:] = np.maximum(dp[i][w:], dp[i][:-w]+v)
       
print(dp[N][-1])
### BUGGY CODE ###

n,m = map(int,input().split())
a_ls = list(map(int, input().split()))
a_ls.sort()
def isOK(index, key, l):
    if l[index] >= key:
        return True
    else:
        return False
def meguru_search(l, key):
    '''
    key以上の値を持つ最小のインデックスを返す
    '''
    left = -1
    right = len(l)

    while (right - left) > 1:
        mid = left + (right - left) // 2
        # 直感的に記憶　
            # 「含まれている」んだったら「含むを許容（等号付き）する右側」はmidまで動かして問題ない
                # 新しいrightの位置がkeyの位置だとしても、「含む」は許容されてる
            # 「含まれていない」んだったら「含まない(<)左の壁」をそこまで動かしてもkeyを通り過ぎることはない
        if isOK(mid, key, l):
            right = mid
        else:
            left = mid
    
    # whileを抜ける時、rightとleftは一個差で、かつkeyがrightの位置にある
    return right
for i in range(m):
    b,c = map(int,input().split())
    ind = meguru_search(a_ls, c)
    # ind==bより小さい数が書かれたカードの数
    if ind >= b:
        a_ls[:b] = [c] * b
    else:
        a_ls[:ind] = [c] * ind
    a_ls.sort()
print(sum(a_ls))

### FIXED CODE ###

from collections import Counter
n,m = map(int,input().split())
a_ls = list(map(int, input().split()))
counter = Counter(a_ls)
for i in range(m):
    b,c = map(int,input().split())
    counter[c] += b

cards = sorted(counter.items(), key = lambda x:x[0], reverse=True)
rest = n
Sum = 0
for num, count in cards:
    if count < rest:
        Sum += num * count
        rest -= count
    else:
        Sum += rest * num
        break
print(Sum)
### BUGGY CODE ###

chars = ["a", "b", "c", "d", "e", "f", "g", "h", "i", "j", "k", "l", "m", "n", "o", "p", "q", "r", "s", "t", "u", "v",
         "w", "x", "y", "z"]


def eratosthenes_sieve(n):
    primes = [2]
    for odd in range(3, n + 1, 2):
        for p in primes:
            if odd % p == 0:
                break
            if p ** 2 > odd:
                primes.append(odd)
                break
    return primes


era = eratosthenes_sieve(150)

n = int(input())
array = [None] * n
for i in range(n):
    new = input()
    var = 1

    for j in range(10):
        h = chars.index(new[j])
        var *= era[h]

    array[i] = var

ans = 0
pool = set(array)
for ele in pool:
    m = array.count(ele)
    ans += m * (m - 1) // 2

print(ans)


### FIXED CODE ###

import collections

chars = ["a", "b", "c", "d", "e", "f", "g", "h", "i", "j", "k", "l", "m", "n", "o", "p", "q", "r", "s", "t", "u", "v",
         "w", "x", "y", "z"]


def eratosthenes_sieve(n):
    primes = [2]
    for odd in range(3, n + 1, 2):
        for p in primes:
            if odd % p == 0:
                break
            if p ** 2 > odd:
                primes.append(odd)
                break
    return primes


era = eratosthenes_sieve(150)
n = int(input())
array = [0] * n
for i in range(n):
    new = input()
    var = 1

    for j in range(10):
        h = chars.index(new[j])
        var *= era[h]

    array[i] = var

c = collections.Counter(array)
cv = list(c.values())
ans = 0
for i in range(len(c)):
    ans += cv[i] * (cv[i] - 1) // 2

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

counter = [0]*2019
counter[0] = 1 # 0 = 0 (mod 2019)

S = input()
tmp = 0
for i in range(1,len(S)+1):
    tmp += int(S[-i])*10**(i-1)    #スライスの方が早い（けど、漸化式的に累積和を出せ）
    #print(tmp%2019)
    tmp %= 2019                    #大きい数を割るな
    counter[tmp%2019] += 1

ans = 0
for i in range(2019):
    if counter[i] >= 2:
        #ans += comb(counter[i], 2, exact=True)
        ans += counter[i]*(counter[i]-1)//2
print(ans)
    

### FIXED CODE ###

# -*- coding: utf-8 -*-
"""
Created on Sun Sep  6 23:39:24 2020

@author: liang
"""
#from scipy.special import comb

counter = [0]*2019
counter[0] = 1 # 0 = 0 (mod 2019)

S = input()
tmp = 0
"""
#大きい数を一気に掛けない
for i in range(1,len(S)+1):
    tmp += int(S[-i])*10**(i-1)    #スライスの方が早い（けど、漸化式的に累積和を出せ）
    #print(tmp%2019)
    tmp %= 2019                    #大きい数を割るな
    counter[tmp%2019] += 1

ans = 0
for i in range(2019):
    if counter[i] >= 2:
        #ans += comb(counter[i], 2, exact=True)
        ans += counter[i]*(counter[i]-1)//2
print(ans)
"""
MOD = 2019
#reversed(s) ?
t = 1
for i in range(1,len(S)+1):
    tmp += int(S[-i])*t
    #print("A", tmp)
    tmp %= MOD 
    t *= 10
    #print("B", tmp)
    t %= MOD
    #print(tmp)
    counter[tmp] += 1
    
print(sum(i*(i-1)//2 for i in counter))
### BUGGY CODE ###

X = int(input())

ans = 1
for b in range(1, X + 1):
    for p in range(2, X + 1):
        if b ** p <= X:
            ans = max(ans, b ** p)

print(ans)


### FIXED CODE ###

X = int(input())
b = 1
p = 2
ans = 0
for b in range(1, X + 1):
    for p in range(2, 10):
        if b ** p <= X:
            ans = max(ans, b ** p)

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

n = int(input())
ans = [0 for i in range(n)]

for i in range(1,n+1):
  for x in range(1,n+1):
    for y in range(1,n+1):
      for z in range(1,n+1):
        if x**2+y**2+z**2+x*y+y*z+z*x == i:
          ans[i-1]+=1
for i in ans:
  print(i)

### FIXED CODE ###

n = int(input())
ans = [0 for i in range(10001)]
for x in range(1,101):
  for y in range(1,101):
    for z in range(1,101):
      v = x**2+y**2+z**2+x*y+y*z+z*x
      if v<=10000:
        ans[v]+=1
for i in range(n):
  print(ans[i+1])
### BUGGY CODE ###

s=input()

s_len_init = len(s) 
while(1):
    s_len = len(s)
    s = s.replace('01','')
    if s_len == len(s):
        break
    else:
        continue
while(1):
    s_len = len(s)
    s = s.replace('10','')
    if s_len == len(s):
        break
    else:
        continue
print(s_len_init-len(s))

### FIXED CODE ###

s = input()
print(len(s) - abs(s.count('1') - s.count('0')))
### BUGGY CODE ###

import numpy as np
import sys
read = sys.stdin.read
readline = sys.stdin.readline
readlines = sys.stdin.readlines

N, M, V, P = map(int, input().split())
A = np.array(list(map(int, input().split())))

A.sort()
r = N
l = 0
border = N - P
AP = A[border]

def solve(ind):
	if A[ind] + M < AP:
		return 0
	if ind >= V - P:
		return 1

	score_border = A[ind] + M
	tmp = 0
	for i in range(N):
		if i <= ind:
			tmp += M
		elif ind < i <= border:
			tmp += min(M, score_border - A[i])
		else:
			tmp += M
	if tmp >= M * V:
		return 1
	else:
		return 0

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

if solve(l):
	print(N - l)
else:
	print(N - r)



### FIXED CODE ###

import numpy as np
import sys
read = sys.stdin.read
readline = sys.stdin.readline
readlines = sys.stdin.readlines

N, M, V, P = map(int, input().split())
A = np.array(list(map(int, input().split())), dtype = np.int64)

A.sort()
r = N
l = 0
border = N - P
AP = A[border]
B = AP - A
np.cumsum(B, axis = 0, out = B)

def solve(ind):
	if A[ind] + M < AP:
		return 0
	if ind >= V - P:
		return 1

	score_border = A[ind] + M
	tmp = 0
	tmp += (ind + P) * M
	tmp += B[border] - B[ind]
	tmp += (score_border - A[border]) * (border - ind)
	if tmp >= M * V:
		return 1
	else:
		return 0

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

if solve(l):
	print(N - l)
else:
	print(N - r)
### BUGGY CODE ###

s = list(input()) #sys.stdin.readlineは最後が改行
t = list(input()) #sys.stdin.readlineは最後が改行
ls=len(s)

from collections import defaultdict
d = defaultdict(list)

for i in range(ls):
    d[s[i]].append(i+1)

ans = 0
prev =0
for i in range(len(t)):
    index = d[t[i]]
    if len(index)==0:
        print(-1)
        exit()
    elif len(index)==1:

        if index[0] <= prev:
            ans+=(ls-prev)+index[0]
        else:
            ans+=index[0]-prev
        prev = index[0]
    else:
        for jj in index:
            if prev < jj:
                ans+= jj-prev
                prev = jj
                break
        else:
            ans += (ls-prev)+index[0]
            prev = index[0]

print(ans)



### FIXED CODE ###

s = list(input()) #sys.stdin.readlineは最後が改行
t = list(input()) #sys.stdin.readlineは最後が改行
ls=len(s)

from collections import defaultdict
d = defaultdict(list)

from bisect import bisect_right

for i in range(ls):
    d[s[i]].append(i+1)

ans = 0
prev =0
for i in range(len(t)):
    index = d[t[i]]
    if len(index)==0:
        print(-1)
        exit()
    elif len(index)==1:

        if index[0] <= prev:
            ans+=(ls-prev)+index[0]
        else:
            ans+=index[0]-prev
        prev = index[0]
    else:
        nex = bisect_right(index, prev)
        if nex == len(index):
            ans += (ls-prev)+index[0]
            prev = index[0]
        else:
            ans+= index[nex]-prev
            prev = index[nex]

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

N,D,A=map(int,input().split())
m=sorted([int(j) for j in input().split()] for i in range(N))

def main():
  c,l=0,0
  while l<N:
    p=(m[l][1]+A-1)//A
    m[l][1],n,r,c=0,0,l+1,c+p
    while r<N and m[l][0]+2*D>=m[r][0]:
      if m[r][1]>A*p:
        m[r][1]-=A*p
        if n==0:
          n=r
      elif m[r][1]!=0:
        m[r][1]=0
      r+=1
    else:
      l=n if n!=0 else r

  print(c)

main()


### FIXED CODE ###

import bisect

def main():
  N,D,A=map(int,input().split())
  m=sorted([int(j) for j in input().split()] for i in range(N))

  x=[m[i][0] for i in range(N)]
  es=[0]*(N+1)
  a,c=0,0
  for i in range(N):
    c-=es[i]
    if m[i][1]>A*c:
      t=(m[i][1]-A*c+A-1)//A
      a+=t
      c+=t
      es[bisect.bisect_right(x,x[i]+2*D)]+=t
  print(a)

main()
### BUGGY CODE ###

import sys
import itertools
if sys.platform =='ios':
    sys.stdin=open('input_file.txt')
    
n=int(input())
a=input()

cnt=0
r=[]
g=[]
b=[]
for i in range(n):
	if a[i]=="R":
		r.append(i)
	if a[i]=="B":
		b.append(i)
	if a[i]=="G":
		g.append(i)


for i1 in r:
	for i2 in b:
		for i3 in g:
			if abs(i1-i2)==abs(i2-i3) or abs(i1-i3)==abs(i2-i3) or abs(i1-i3)==abs(i2-i1):
				cnt+=0
			else:
				cnt+=1
			
			
print(cnt)
	

### FIXED CODE ###

n=int(input())
s=input()
dic={}
cntr=0
cntg=0
cntb=0
for i in range(n):
    if s[i]=="R":
        dic[i]="R"
        cntr+=1
    if s[i]=="G":
        dic[i]="G"
        cntg+=1
    if s[i]=="B":
        dic[i]="B"
        cntb+=1

cnt=0
for i in range(0,n-2):
    for j in range(i+1,n-1):
        if 2*j-i<=n-1 and dic[i]!= dic[j]:
            if dic[i]!=dic[2*j-i] and dic[j]!=dic[2*j-i]:
                cnt+=1
print(cntr*cntg*cntb-cnt)
### BUGGY CODE ###

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

ans =0
for i in range(N-1):
    for j in range(i +1,N):
        if A_n[i] == A_n[j]:
            ans += 1
            
for i in range(N):
    minus = 0
    for j in range(N):
        if A_n[i] == A_n[j] and i != j:
            minus +=1
    print(ans-minus)

### FIXED CODE ###

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

count =[0 for i in range(N)]
for i in range(N):
    count[A_n[i]-1] +=1
ans =[count[i]*(count[i]-1)//2 for i in range(N)]
a1=sum(ans)
for i in range(N):
    print(a1-count[A_n[i]-1]+1)
### BUGGY CODE ###

N,D,A=[int(x) for x in input().split()]
xh = [[int(x) for x in input().split()] for _ in range(N)]
xh = sorted(xh)
r=0
l=0
ans = 0
mi = 10**9
for l in range(N):
  if xh[l][1]==0:
    continue
  while l<N and r<N and 2*D>xh[r][0]-xh[l][0]:
    #mi=min(mi,(xh[r][1]+A-1)//A)
    if 2*D<abs(xh[l][0]-xh[min(r+1,N-1)][0]):
      break
    else:
      r+=1
  #print(1,l,r)
  la = (xh[l][1]+A-1)//A
  ans +=(xh[l][1]+A-1)//A
  for i in range(l,min(r+1,N)):
    xh[i][1]=max(0,xh[i][1]-la*A)
    #print(xh[i][1],i)
  if r==l:
    r+=1
print(ans)

### FIXED CODE ###

N,D,A=[int(x) for x in input().split()]
xh = [[int(x) for x in input().split()] for _ in range(N)]
xh = sorted(xh)
r=0
l=0
ans = 0
mi = 10**9
d = [0]*(N+1)
for l in range(N):
  if d[l]<xh[l][1]:
    la = (xh[l][1]-d[l]+A-1)//A
    for _ in range(N):
      if l<N and r<N and 2*D>=xh[r][0]-xh[l][0]:
        r+=1
      else:
        break
    ans += la
    d[l]+=la*A
    d[r]-=la*A
  d[l+1]+=d[l]
print(ans)
### BUGGY CODE ###

import heapq
n,q = map(int,input().split())
imos = []
heapq.heapify(imos)
for i in range(n):
    s,t,x = map(int,input().split())
    if t-x > 0:
        heapq.heappush(imos,(max(s-x,0),x))
        heapq.heappush(imos,(t-x,-x))
ans = set()
now = 0
for i in range(q):
    d = int(input())
    while imos:
        now,stop = heapq.heappop(imos)
        if now > d:
            heapq.heappush(imos,(now,stop))
            break
        if stop > 0:
            ans.add(stop)
        else:
            ans.remove(-stop)
    if ans:
        print(min(ans))
    else:
        print(-1)


### FIXED CODE ###

import sys
input = sys.stdin.readline

n,q = map(int,input().split())
imos = []
for i in range(n):
    s,t,x = map(int,input().split())
    imos.append((s-x,x))
    imos.append((t-x,-x))
ans = set()
j = 0
for i in range(q):
    d = int(input())
    imos.append((d,1e100))
imos.sort()
m = 1e100
flag = False
for t,stop in imos:
    if stop == 1e100:
        if ans:
            if not flag:
                m = min(ans)
                flag = True
            print(m)
        else:
            print(-1)
    elif stop > 0:
        ans.add(stop)
        if stop < m:
            m = stop
            flag = True
    else:
        ans.remove(-stop)
        if m == -stop:flag = False
### BUGGY CODE ###

import sys
from collections import deque
input = sys.stdin.readline

def main():
    H, W = map(int, input().split())

    m = [list(map(lambda x: 1 if x=="#" else 0, input())) for _ in range(H)]
    black = [(i, j, 0) for i in range(H) for j in range(W) if m[i][j] == 1]

    # print(m)
    # print(black)

    queue = deque(black)
    queue_append = queue.append
    ans = 0
    while queue:
        p = queue.popleft()
        if ans < p[2]:
            ans += 1
        for i, j in ((-1, 0), (1, 0), (0, 1), (0, -1)):
            next_p = (p[0] + i, p[1] + j)
            if (0 <= next_p[0] < H) and (0 <= next_p[1] < W):
                if not m[next_p[0]][next_p[1]]:
                    m[next_p[0]][next_p[1]] = 1
                    queue_append((next_p[0], next_p[1], ans+1))
    print(ans)

if __name__ == "__main__":
    main()


### FIXED CODE ###

from collections import deque

H, W = map(int, input().split())

m = [[0 for _ in range(W)] for _ in range(H)]
root = []
for i in range(H):
    # m.append(list(map(lambda x: 0 if x=="#" else 1, input()))）
    for j, c in enumerate(input()):
        if c == "#":
            m[i][j] = 1
            root.append((i, j))

# print(m)
# print(root)

queue = deque(root)
visited = deque(root)
visited_extend = visited.extend
ans = 0
while len(visited) < H*W:
    # print(visited)
    ans += 1
    new_queue = deque([])
    while queue:
        p = queue.popleft()
        for i, j in ([-1, 0], [1, 0], [0, 1], [0, -1]):
            next_p = (p[0] + i, p[1] + j)
            if (0 <= next_p[0] < H) and (0 <= next_p[1] < W):
                if not m[next_p[0]][next_p[1]]:
                    m[next_p[0]][next_p[1]] = 1
                    new_queue.append(next_p)
    visited_extend(new_queue)
    queue = new_queue
print(ans)
### BUGGY CODE ###

N, M = map(int, input().split())
base = [[int(l) for l in input().split()] for i in range(M)]
sort_target = sorted(base)
 
  
prefecture_index = sort_target[0][0]
i=0
result = []
for target in sort_target:
  i = i + 1 if prefecture_index == target[0] else 1
  prefecture_index = target[0]
  result.append([base.index(target), "{:0=6}{:0=6}".format(target[0], i)])

sorted_result = sorted(result) 
for result in sorted_result:
  print(result[1])

### FIXED CODE ###

N, M = map(int, input().split())
base = []
for i in range(M):
  (a, b) = map(int, input().split())
  base.append((a, b, i))
sorted_target = sorted(base) 

prefecture_index = sorted_target[0][0]

i=0
result = {}

for target in sorted_target:
  if prefecture_index == target[0]:
    i+=1
  else:
    prefecture_index = target[0]
    i = 1
  result[target[2]] = [prefecture_index, i]

for i in range(M):
  print("{:0=6}{:0=6}".format(result[i][0], result[i][1]))
### BUGGY CODE ###

def recursion_j(n, dp, i, j, k):
    if dp[i][j][k] > 0:
        return dp[i][j][k]
    if i == j == k == 0:
        return 0.0

    res = 0.0
    if i > 0:
        res += recursion_j(n, dp, i - 1, j, k) * i
    if j > 0:
        res += recursion_j(n, dp, i + 1, j - 1, k) * j
    if k > 0:
        res += recursion_j(n, dp, i, j + 1, k - 1) * k
    res += n
    res *= 1 / (i + j + k)
    dp[i][j][k] = res
    return res


def p_j():
    n = int(input())
    *a, = map(int, input().split())
    c = [0] * 3
    for a_ in a:
        c[a_ - 1] += 1
    dp = [[[0.0] * (n + 1) for _ in range(n + 1)] for _ in range(n + 1)]
    print(recursion_j(n, dp, c[0], c[1], c[2]))
    
p_j()

### FIXED CODE ###

def p_j_dp():
    n = int(input())
    *a, = map(int, input().split())
    c1 = a.count(1)
    c2 = a.count(2)
    c3 = a.count(3)
    dp = [[[0] * (n + 1) for _ in range(n + 1)] for _ in range(n + 1)]
    for k in range(c3 + 1):
        for j in range(c3 + c2 + 1 - k):
            for i in range(n + 1 - k - j):
                if i + j + k == 0:
                    continue
                res = n
                if i > 0:
                    res += i * dp[i - 1][j][k]
                if j > 0:
                    res += j * dp[i + 1][j - 1][k]
                if k > 0:
                    res += k * dp[i][j + 1][k - 1]
                res /= i + j + k
                dp[i][j][k] = res
    print(dp[c1][c2][c3])
    
p_j_dp()
### BUGGY CODE ###

import numpy as np
from collections import defaultdict
n = int(input())
a = np.array(list(map(int, input().split())))
b = np.array(list(map(int, input().split())))

a_sort = np.sort(a)
b_sort = np.sort(b)

# 1. 回数関係なくそもそも不可能なやつ → no
# 2-a. サイクルは1つだとしても，完璧じゃない組み合わせが1つ以上許容されるやつ → yes
# 2-b. サイクルが2以上にわけられるやつ → yes

# 1
if (a_sort > b_sort).any():
    print('No')
    exit()

# 2-a
if (a_sort[1:] <= b_sort[:-1]).any():
    print('Yes')
    exit()

# 2-b （startをとりあえず1とかにする）
d = defaultdict(int)
for i in range(n):
    d[a[i]] = b[i]

from_ = 1
count = 0
while True:
    count += 1
    from_ = d[from_]
    if from_ == 1:
        break

if count != n:
    print('Yes')
else:
    print('No')


### FIXED CODE ###

import numpy as np

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

a_sort = np.sort(a)
b_sort = np.sort(b)

# 1. 回数関係なくそもそも不可能なやつ → no
# 2-a. サイクルは1つだとしても，完璧じゃない組み合わせが1つ以上許容されるやつ → yes
# 2-b. サイクルが2以上にわけられるやつ → yes

# 1
if (a_sort > b_sort).any():
    print('No')
    exit()

# 2-a
if (a_sort[1:] <= b_sort[:-1]).any():
    print('Yes')
    exit()

# 2-b （startをとりあえず0番目とかにする）
index = b.argsort()
a = a[index]
sort_dict = a.argsort().tolist()
from_ = 0
count = 0
while True:
    count += 1
    from_ = sort_dict[from_]
    if from_ == 0:
        break

if count != n:
    print('Yes')
else:
    print('No')
### BUGGY CODE ###

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

f = [1] * n
for l in range(n):
    r = l + 1
    s0 = s1 = A[l]
    while r < n:
        s0 ^= A[r]
        s1 += A[r]
        if s0 != s1:
            break
        r += 1
    f[l] = r-l
print(sum(f))

### FIXED CODE ###

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

ans = s = r = 0
for l in range(n):
    while r < n:
        if s & A[r] != 0:
            break
        s += A[r]
        r += 1
    s -= A[l]
    ans += r-l
print(ans)
### BUGGY CODE ###

n = int(input())
ss = []
for i in range(n):
  s = input()
  push = True
  for j in ss:
    if s == j:
      push = False
      break
  if push:
    ss.append(s)
print(len(ss))

### FIXED CODE ###

from collections import Counter
n = int(input())
s = [0] * n
for i in range(n):
  s[i] = input()
c = Counter(s)
print(len(c))
### BUGGY CODE ###

from scipy.sparse.csgraph import floyd_warshall
from scipy.sparse import csr_matrix

import numpy as np

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

a = np.array(a)

g = csr_matrix(a)
dist = floyd_warshall(g)

bl = dist == a

if bl.all():
    sm = a.sum()
    for u in range(n):
        for v in range(n):
            if v == u:
                continue
            for w in range(n):
                if w == u or w == v:
                    continue
                if dist[u][v] == dist[u][w] + dist[w][v]:
                    sm -= dist[u][v]

    ans = int(sm) // 2
    print(ans)

else:
    print(-1)


### FIXED CODE ###

from scipy.sparse.csgraph import floyd_warshall
from scipy.sparse import csr_matrix

import numpy as np

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

a = np.array(a)

g = csr_matrix(a)
dist = floyd_warshall(g)

bl = dist == a

if bl.all():
    sm = dist.sum()
    INF = 10 ** 18 + 1
    inf = np.array([INF] * n)
    inf = np.diag(inf)
    dist += inf
    for u in range(n):
        for v in range(n):
            if u == v:
                continue

            mn = np.min(dist[u] + dist[v])
            if mn == dist[u, v]:
                sm -= dist[u, v]

    ans = int(sm) // 2
    print(ans)

else:
    print(-1)