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

#!/usr/bin/env python3
import sys
INF = float("inf")


def solve(H: int, W: int, A: "List[List[int]]", B: "List[List[int]]"):
    L = 160*80*2
    base = [[None]*W for _ in range(H)]
    for h in range(H):
        for w in range(W):
            base[h][w] = abs(A[h][w]-B[h][w])

    table = [[[False]*L for _ in range(W)] for _ in range(H)]
    table[0][0][base[0][0]] = True
    for h in range(H):
        for w in range(W):
            for i in range(L):
                a = abs(i-base[h][w])
                b = abs(i+base[h][w])
                if h > 0 and table[h-1][w][i] == True:
                    table[h][w][a] = True
                    table[h][w][b] = True
                if w > 0 and table[h][w-1][i] == True:
                    table[h][w][a] = True
                    table[h][w][b] = True
    for i in range(L):
        if table[H-1][W-1][i] == True:
            print(i)
            return

    return


def main():

    def iterate_tokens():
        for line in sys.stdin:
            for word in line.split():
                yield word
    tokens = iterate_tokens()
    H = int(next(tokens))  # type: int
    W = int(next(tokens))  # type: int
    A = [[int(next(tokens)) for _ in range(W)]
         for _ in range(H)]  # type: "List[List[int]]"
    B = [[int(next(tokens)) for _ in range(W)]
         for _ in range(H)]  # type: "List[List[int]]"
    solve(H, W, A, B)


if __name__ == '__main__':
    main()


### FIXED CODE ###

#!/usr/bin/env python3
import sys
INF = float("inf")


def solve(H: int, W: int, A: "List[List[int]]", B: "List[List[int]]"):
    base = [[abs(A[h][w]-B[h][w]) for w in range(W)] for h in range(H)]
    mx = (1 << 12800) - 1
    table = [[0]*W for _ in range(H)]
    table[0][0] = (1 << (6400 + base[0][0])) | (1 << (6400-base[0][0]))
    for h in range(H):
        for w in range(W):
            if h > 0:
                table[h][w] |= (table[h-1][w] << base[h][w])
                table[h][w] |= (table[h-1][w] >> base[h][w])
            if w > 0:
                table[h][w] |= (table[h][w-1] << base[h][w])
                table[h][w] |= (table[h][w-1] >> base[h][w])
            table[h][w] &= mx

    m = INF
    for j in range(12800):
        i = (table[H-1][W-1] >> j) & 1
        if i == 1:
            m = min(m, abs(j-6400))
    print(m)
    # print(table[H-1])

    return


def main():

    def iterate_tokens():
        for line in sys.stdin:
            for word in line.split():
                yield word
    tokens = iterate_tokens()
    H = int(next(tokens))  # type: int
    W = int(next(tokens))  # type: int
    A = [[int(next(tokens)) for _ in range(W)]
         for _ in range(H)]  # type: "List[List[int]]"
    B = [[int(next(tokens)) for _ in range(W)]
         for _ in range(H)]  # type: "List[List[int]]"
    solve(H, W, A, B)


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

num = int(input())
list = list(map(int, input().split()))
for x in range(num):
    print(list.count(x + 1))

### FIXED CODE ###

num = int(input())
list = list(map(int, input().split()))
ans = [0] * (num + 1)
for x in list:
    ans[x] += 1
for x in range(num):
    print(ans[x + 1])
### BUGGY CODE ###

from itertools import*
n,c,*L=map(int,open(0).read().split())
acc=[a-x for x,a in zip(L[::2],accumulate(L[1::2]))]
R=L[::-1]
rev=[a-(c-x) for x,a in zip(R[1::2],accumulate(R[::2]))]
p=max(max([0]+rev[:n-i-1])+a-b for i,(a,b) in enumerate(zip(acc,L[::2])))
q=max(max([0]+acc[:n-i-1])+a-(c-b) for i,(a,b) in enumerate(zip(rev,R[1::2])))
r=max(0,max(acc),max(rev))
print(max(p,q,r))

### FIXED CODE ###

from itertools import*
n,c,*L=map(int,open(0).read().split())
acc=[a-x for x,a in zip(L[::2],accumulate(L[1::2]))]
acc_max=list(accumulate([0]+acc,max))
R=L[::-1]
rev=[a-(c-x) for x,a in zip(R[1::2],accumulate(R[::2]))]
rev_max=list(accumulate([0]+rev,max))
p=max(rev_max[n-i-1]+a-b for i,(a,b) in enumerate(zip(acc,L[::2])))
q=max(acc_max[n-i-1]+a-(c-b) for i,(a,b) in enumerate(zip(rev,R[1::2])))
r=max(0,acc_max[-1],rev_max[-1])
print(max(p,q,r))
### BUGGY CODE ###

[N,L] = [int(x) for x in input().split()]
A = {}
B = [0]*N
ANS = {}
count = 0
for i,x in enumerate(input().split()):
    i = int(i)
    x = int(x)
    B[i] = x
    if x in A : A[x] += [i]
    else : A[x] = [i]
for i in sorted(A) :
    for j in A[i] :
        for k in range(L) :
            if j + k not in ANS :
                ANS[j+k] = i
                count += 1
    if count > N * 0.9993 : break
        
for i in range(L):
    if i not in ANS : ANS[i] = min(B[:i+1])
for i in range(L,N):
    if i not in ANS : ANS[i] = min(B[i+1-L:i+1])
for i in range(L-1,N-1) : print(ANS[i], end=" ")
print(ANS[N-1])

### FIXED CODE ###

def ascend(a,b):
    mini = min(A[a:a+L])
    ans[a] = mini
    for i in range(a+1,b):
        if A[i+L-1] <= mini : mini = A[i+L-1]
        elif A[i-1] == mini : mini = min(A[i:i+L])
        ans[i] = mini

def descend(a,b):
    mini = min(A[b-1:b+L-1])
    ans[b-1] = mini
    for i in range(b-2,a-1,-1):
        if A[i] <= mini : mini = A[i]
        elif A[i+L] == mini: mini = min(A[i:i+L])
        ans[i] = mini
    
[N,L] = [int(x) for x in input().split()]
A = [int(x) for x in input().split()]
ans = [None]*(N-L+1)
count = 0;
if N > 10 ** 4:
    for i in range(100):
        if A[i+1] > A[i] : count += 1
    if count > 80 : descend(0, N-L+1)
    else : ascend(0,N-L+1)
else :
    ascend(0, N-L+1)
for i in ans[:-1] : print(i, end=" ")
print(ans[-1])
### BUGGY CODE ###

#!/usr/bin/env python
from __future__ import division, print_function
from sys import stdin, maxint

MININT = -1 - maxint


def max_heapify(a, i, heap_size):
    L = 2*i
    R = 2*i + 1
    if L <= heap_size and a[L] > a[i]:
        largest = L
    else:
        largest = i
    if R <= heap_size and a[R] > a[largest]:
        largest = R
    if largest != i:
        a[i], a[largest] = a[largest], a[i]
        max_heapify(a, largest, heap_size)


def max_heap_insert(a, key, heap_size):
    heap_size[0] += 1
    a[heap_size[0]] = MININT
    heap_increase_key(a, key, heap_size[0])


def heap_increase_key(a, key, i):
    #if key < a[i]:
        #raise ValueError('new key less current key')
    a[i] = key
    half = i // 2
    while i > 1 and a[half] < a[i]:
        a[i], a[half] = a[half], a[i]
        i = i // 2
        half = i // 2


def heap_extract_max(a, heap_size):
    #if heap_size[0] < 1:
        #raise ValueError('heap under flow')
    max = a[1]
    a[1] = a[heap_size[0]]
    heap_size[0] -= 1
    max_heapify(a, 1, heap_size[0])
    return max


heap = [MININT] * 2000001
heap_size = [1]
for cmd in stdin:
    if cmd.startswith('i'):
        key = int(cmd[7:])
        #assert 0 <= key <= 2000000000
        max_heap_insert(heap, key, heap_size)
    elif cmd.startswith('ex'):
        print(heap_extract_max(heap, heap_size))
    elif cmd.startswith('en'):
        break

### FIXED CODE ###

#!/usr/bin/env python
from __future__ import division, print_function
from sys import stdin, exit


def max_heapify(a, i):
    heap_size = a[0]

    L = 2*i
    R = 2*i + 1
    if L <= heap_size and a[L] > a[i]:
        largest = L
    else:
        largest = i
    if R <= heap_size and a[R] > a[largest]:
        largest = R
    if largest != i:
        a[i], a[largest] = a[largest], a[i]
        max_heapify(a, largest)


def main():
    heap = [-1] * 2000001
    heap[0] = 1
    for cmd in stdin:
        if cmd[0] == 'i':
            heap[0] += 1
            i = heap[0]
            heap[i] = int(cmd[7:])

            half = i // 2
            while i > 1 and heap[half] < heap[i]:
                heap[i], heap[half] = heap[half], heap[i]
                i //= 2
                half = i // 2
        elif cmd[1] == 'x':
            print(heap[1])
            heap[1] = heap[heap[0]]
            heap[0] -= 1
            max_heapify(heap, 1)
        elif cmd[1] == 'n':
            exit(0)


main()
### BUGGY CODE ###

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

old = 0

for i in range(k,n+1):
  if i == k:
    new=1
    for j in range(i-k,i):
      new*=a[j]
  elif i != k:
    new = new / a[i-k-1] * a[i-1]
    if new > old:
      print("Yes")
    else:
      print("No")
  old = new

### FIXED CODE ###

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

old = 0

for i in range(k,n+1):
  if i == k:
    new = 1
  elif i != k:
    new = a[i-1] / a[i-k-1]
    if new > 1:
      print("Yes")
    else:
      print("No")
  old = new
### BUGGY CODE ###

s =input()
k = int(input())
#入力

length = len(s)
s_set  =[]
for i in range(length):
    for j in range(min(0,i+1-k),i+1):
        s_set.append(s[j:i+1])
s_set = set(s_set)
s_set = list(s_set)
s_set.sort()
#print(s_set)
if k == 1:
    k -= 1
print(s_set[k])

### FIXED CODE ###

s = input()
K = int(input())

sub = set()
for k in range(1, 6):
    for i in range(len(s)):
        sub.add(s[i:i+k])

sub = sorted(list(sub))
print(sub[K-1])
### BUGGY CODE ###

n = int(input())
a = list(map(int, input().split()))
sadlist = []
for i in range(min(a) - n, max(a) + n):
    sad = 0
    for j in range(n):
        sad = sad + abs(a[j] - (i + j + 1))
    sadlist.append(sad)
print(min(sadlist))

### FIXED CODE ###

n = int(input())
a = list(map(int, input().split()))
for j in range(n):
    a[j] = a[j] - (j + 1)
a.sort()
if n % 2 == 0:
    print(sum(a[int(n / 2):]) - sum(a[:int(n / 2)]))
else:
    print(sum(a[int((n + 1) / 2):]) - sum(a[:int((n - 1) / 2)]))
### BUGGY CODE ###

def main():
    N = int(input())
    V = list(map(int, input().split()))
    C = list(map(int, input().split()))
    arr = list()
    ans = list()

    for i in range(N):
        arr.append(V[i]-C[i])
    for j in range(1 << N):
        output = []
        for k in range(N):
            if ((j >> k) & 1) == 1:
                output.append(arr[k])
            ans.append(sum(output))
    if max(ans) > 0:
        print(max(ans))
    else:
        print(0)
main()

### FIXED CODE ###

def main():
    N = int(input())
    V = list(map(int, input().split()))
    C = list(map(int, input().split()))
    ans = 0
    for i in range(N):
        ans += max(V[i]-C[i], 0)
    print(ans)
if __name__ == '__main__':
    main()
### BUGGY CODE ###

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

D = []
for _ in range(M):
  B, C = map(int, input().split())
  D += B * [C]
SD = sorted(D, reverse=True)
SD = SD[:min(N, len(SD))]

for i, s in enumerate(SD):
  if SA[i] < s:
    SA[i] = s
print(sum(SA))
  


### FIXED CODE ###

N, M = map(int, input().split())
A = list(map(int, input().split()))
#SA = sorted(A)

D = []
for _ in range(M):
  B, C = map(int, input().split())
  D.append([B, C])

SD = sorted(D, key=lambda x:x[1], reverse=True)

for b, c in SD:
  A += b * [c]
  if len(A) > N*2:
    break

SA = sorted(A, reverse=True)
#X = min(N, len(SD))
#SD = SD[:X]

print(sum(SA[:N]))
### BUGGY CODE ###

from collections import Counter

n = int(input())
a = [list(map(int, input().split())) for i in range(n)]
d = [x[:] for x in a]
ans = 0
for i in range(n):
    for j in range(n):
        l = []
        for k in range(n):
            if i != j:
                l.append(d[i][k] + d[k][j])
                d[i][j] = min(d[i][j], d[i][k] + d[k][j])
        for m in Counter(l).most_common():
            if m[1] >= 3:
                ans -= m[0]
for i in range(n):
    if a[i] != d[i]:
        print(-1)
        exit()
for i in range(n):
    ans += sum(a[i])
print(ans // 2)

### FIXED CODE ###

from collections import Counter

n = int(input())
a = [list(map(int, input().split())) for i in range(n)]
d = [x[:] for x in a]
ans = 0
for i in range(n):
    for j in range(i + 1, n):
        l = []
        s = d[i][j]
        for k in range(n):
            if k == i or k == j:
                continue
            dist = d[i][k] + d[k][j]
            if dist == s:
                ans -= s
                break
            d[i][j] = min(d[i][j], dist)
for i in range(n):
    if a[i] != d[i]:
        print(-1)
        exit()
an = 0
for i in range(n):
    an += sum(a[i])
print(an // 2 + ans)
### BUGGY CODE ###

n=int(input())
A=list(map(int, input().split()))
from itertools import permutations, combinations,combinations_with_replacement,product
L = combinations(range(n), 2)   #nCr
cnt = 0
for i in L:
  cnt += (A[i[0]]^A[i[1]])%(10**9+7)
  cnt = cnt%(10**9+7)
print(cnt)

### FIXED CODE ###

N=int(input())
A = list(map(int,input().split()))
mod = 10**9+7
Ans = 0
for i in range(60):
  Po=sum([1 for j in A if j>>i & 1])
  Ans += Po*(N-Po)*(2**i)
  Ans = Ans % mod
print(Ans)
### BUGGY CODE ###

import numpy as np
from scipy.sparse.csgraph import shortest_path, floyd_warshall, dijkstra, bellman_ford, johnson
from scipy.sparse import csr_matrix

n = int(input())
list_ABC = [ list(map(int,input().split(" "))) for i in range(n-1)]
q, k = map(int, input().split())
list_XY = [ list(map(int,input().split(" "))) for i in range(q)]

ma = [[0]*n for _ in range(n)]
for a, b, c in list_ABC:
    ma[a-1][b-1] = c
    ma[b-1][a-1] = c

a = csr_matrix(ma)
b = dijkstra(a, indices=k-1 , directed=False).astype(int)

for x, y in list_XY:
    print(b[x-1]+b[y-1])

### FIXED CODE ###

import sys
sys.setrecursionlimit(500000)
 
N = int(input())
ABC = [list(map(int, input().split())) for i in range(N-1)]
Q, K = map(int, input().split())
D = [0] * (N+1)
L = [[] for i in range(N+1)]
for a, b, c in ABC:
    L[a].append([b, c])
    L[b].append([a, c])
 
 
def dfs(n, np):
    for nc in L[n]:
        if nc[0] == np:
            continue
        else:
            D[nc[0]] = D[n] + nc[1]
            dfs(nc[0], n)
 
 
dfs(K, 0)
for i in range(Q):
    x, y = map(int, input().split())
    print(D[x] + D[y])
### BUGGY CODE ###

#template
def inputlist(): return [int(k) for k in input().split()]
#template
N = int(input())
S = list(input())
from collections import Counter
c = Counter(S)
ans = c['R']*c['B']*c['G']
for i in range(N-1):
    for j in range(i+1,N):
        if 2*j - i >= N:
            continue
        se = [S[i],S[j],S[2*j-i]]
        se = set(se)
        if len(se) == 3:
            ans -=1

print(ans)

### FIXED CODE ###

#template
def inputlist(): return [int(k) for k in input().split()]
#template
N = int(input())
S = list(input())
from collections import Counter
c = Counter(S)
ans = c['R']*c['B']*c['G']
for i in range(N-1):
    for j in range(i+1,N):
        if 2*j - i >= N:
            continue
        se = [S[i],S[j],S[2*j-i]]
        se = set(se)
        if len(se) == 3:
            ans -=1

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

import math
from functools import reduce

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

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

def lcm(*numbers):
    return reduce(lcm_base, numbers, 1)

LCM = lcm(*A)
MOD = 10 ** 9 + 7
ans = 0
for i in range(N):
    ans = (ans + LCM // A[i]) % MOD
print(ans)




### FIXED CODE ###

import math
from functools import reduce
from collections import defaultdict

#素因数分解O(√n)
def primeFactor(n):
    res = defaultdict(lambda: 0)
    for i in range(2, int(n**0.5)+1):
        while n % i == 0:
            res[i] += 1
            n = n // i
    if n != 1:
        res[n] += 1
    return res

    

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

def gcd(*numbers):
    return reduce(math.gcd, numbers)

MOD = 10**9+7
GCD = gcd(*A)

P = defaultdict(lambda: 0)

for i in range(N):
    factors = primeFactor(A[i])
    for k, v in factors.items():
        if v > P[k]:
            P[k] = v


P_mod = 1
for k in P.keys():
    P_mod = P_mod*(k**P[k])%MOD

ans = 0
for i in range(N):
    b = A[i]
    mod_inv = pow(b, MOD-2, MOD)
    ans = (ans + P_mod * mod_inv) % MOD

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

# -*- coding: utf-8 -*-

# 入力を整数に変換して受け取る
def input_int():
    return int(input())


# マイナス1した値を返却
def int1(x):
    return int(x) - 1


# 半角スペース区切り入力をIntに変換してMapで受け取る
def input_to_int_map():
    return map(int, input().split())


# 半角スペース区切り入力をIntに変換して受け取る
def input_to_int_tuple():
    return tuple(map(int, input().split()))


# 半角スペース区切り入力をIntに変換してマイナス1した値を受け取る
def input_to_int_tuple_minus1():
    return tuple(map(int1, input().split()))


def main():
    n = int(input())
    a_list = input_to_int_tuple()

    ret = []
    for i in range(n):
        my = 0
        for j, v in enumerate(a_list):
            if i == j:
                continue

            my ^= v

        ret.append(my)

    print(" ".join(map(str, ret)))


if __name__ == "__main__":
    main()


### FIXED CODE ###

# -*- coding: utf-8 -*-

# 入力を整数に変換して受け取る
def input_int():
    return int(input())


# マイナス1した値を返却
def int1(x):
    return int(x) - 1


# 半角スペース区切り入力をIntに変換してMapで受け取る
def input_to_int_map():
    return map(int, input().split())


# 半角スペース区切り入力をIntに変換して受け取る
def input_to_int_tuple():
    return tuple(map(int, input().split()))


# 半角スペース区切り入力をIntに変換してマイナス1した値を受け取る
def input_to_int_tuple_minus1():
    return tuple(map(int1, input().split()))


def main():
    n = int(input())
    a_list = input_to_int_tuple()

    all = 0
    for v in a_list:
        all ^= v

    ret = ""
    for v in a_list:
        ret += str(all ^ v) + " "

    print(ret.rstrip())


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

n = int(input())
num_list = [int(i) for i in input().split()]
ans = 0

for i in range(n-1):
    for j in range(i+1,n):
        ans += num_list[i] * num_list[j]
        ans = ans % (10 ** 9 + 7)

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

### FIXED CODE ###

n = int(input())
n_list = [int(i) for i in input().split()]

s = sum(a**2 for a in n_list)
ans = sum(n_list) ** 2 - s

print((ans//2)%(10**9+7))
### BUGGY CODE ###

from collections import defaultdict
s = input()[::-1]
mod = 13
p = 10 ** 9 + 7
dic = defaultdict(int)
dic[0] = 1

for i in range(len(s)):
    tmp = defaultdict(int)
    if s[i] == "?":
        for j in range(10):
            d = j * 10 ** i % mod
            for k, v in dic.items():
                tmp[(k + d) % mod] += v
                tmp[(k + d) % mod] %= p
    else:
        d = int(s[i]) * 10 ** i % mod
        for k, v in dic.items():
            tmp[(k + d) % mod] = v
            tmp[(k + d) % mod] %= p
    dic = tmp
print(dic[5] % p)


### FIXED CODE ###

from collections import defaultdict
s = input()[::-1]
mod = 13
p = 10 ** 9 + 7
dic = defaultdict(int)
dic[0] = 1

for i in range(len(s)):
    tmp = defaultdict(int)
    if s[i] == "?":
        for j in range(10):
            d = j * pow(10, i, mod)
            for k, v in dic.items():
                tmp[(k + d) % mod] += v
                tmp[(k + d) % mod] %= p
    else:
        d = int(s[i]) * pow(10, i, mod)
        for k, v in dic.items():
            tmp[(k + d) % mod] = v
    dic = tmp
print(dic[5] % p)
### BUGGY CODE ###

N = int(input())
A = list(map(int, input().split()))
Q = int(input())
for i in range(Q):
    B, C = map(int, input().split())
    for i in range(N):
        if A[i] == B:
            A[i] = C
    print(sum(A))


### FIXED CODE ###

from collections import Counter
 
n = int(input())
a = list(map(int, input().split()))
q = int(input())
 
cnt = Counter(a)
 
s = sum(a)
 
for i in range(q):
	b, c = map(int, input().split())
	s = s - b*cnt[b]
	s = s + c*cnt[b]
	cnt[c] += cnt[b]
	cnt[b] = 0
	print(s)
### BUGGY CODE ###

n = int(input())

for i in range(1,n+1):
    ans = 0
    for x in range(1,int(n**0.5+1)):
        for y in range(1,int(n**0.5+1)):
            if (x+y)**2 - 4*(x**2 + y**2 + x*y - i) >= 0:
                z1 = (((x+y)**2 - 4*(x**2 + y**2 + x*y - i))**0.5) -(x+y)
                z2 = -(((x+y)**2 - 4*(x**2 + y**2 + x*y - i))**0.5) -(x+y)
                if z1//1 == z1 and z1 > 0:
                    ans += 1
                elif z2//1 == z2 and z2 > 0:
                    ans += 1
    print(ans)

### FIXED CODE ###

n = int(input())

a = [0]*(10**4)

for x in range(1,10**2):
    for y in range(1,10**2):
        for z in range(1,10**2):
            s = x**2 + y**2 + z**2 + x*y + y*z + z*x
            if s <= 10**4:
                a[s-1] += 1

for i in range(n):
    print(a[i])
### BUGGY CODE ###

import copy

N = int(input())

A = []
for _ in range(N):
    A.append(int(input()))

for i in range(len(A)):
    B = copy.copy(A)
    del(B[i])
    # print("B = {}".format(B))
    print(max(B))


### FIXED CODE ###

def main():
    N = int(input())
    A = [int(input()) for _ in range(N)]

    max1st = max(A)
    max1stIndex = A.index(max1st)

    for i in range(len(A)):
        if i == max1stIndex:
            tmp = A[i]
            A[i] = 0
            print(max(A))
            continue

        print(max1st)




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

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

ls = []
for i in range(n):
    ans = 0
    for l in range(p[i]):
        ans += (1/p[i]*(l+1))
    ls.append(ans)
    
al = []
for i in range(n-k+1):
    ans = 0
    for j in range(k):
        ans += ls[i+j]
    al.append(ans)
    
print(max(al))
        

### FIXED CODE ###

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

ls = []
ans = 0

for i in range(k):
    ans += p[i]
    
max_ans = ans
max_index = 0

for i in range(n-k):
    ans -= p[i]
    ans += p[i+k]
    if max_ans < ans:
        max_ans = ans
        max_index = i+1

ans = 0
for i in range(k):
    pp = p[max_index+i]
    for j in range(pp):
        ans += (1/pp*(j+1))
    
print(ans)
### BUGGY CODE ###

import sys

sys.setrecursionlimit(10 ** 9)

input = sys.stdin.readline

H, W, N = map(int, input().split())
sr, sc = map(int, input().split())
sr -= 1
sc -= 1

s = input()
t = input()

d = {
    'L': (0, -1),
    'R': (0, 1),
    'U': (-1, 0),
    'D': (1, 0)
}

memo = dict()


def next_move_pos(cur_r, cur_c, cur_step_index, bl_is_takahashi):
    if bl_is_takahashi:
        c = s[cur_step_index]
    else:
        c = t[cur_step_index]
    dr, dc = d[c]
    return cur_r + dr, cur_c + dc


def is_in_range(r, c):
    return 0 <= r < H and 0 <= c < W


def rec(cur_r, cur_c, cur_step_index, bl_cur_player_takahashi):
    if memo.get((cur_r, cur_c, cur_step_index, bl_cur_player_takahashi), None):
        return memo[(cur_r, cur_c, cur_step_index, bl_cur_player_takahashi)]

    if bl_cur_player_takahashi:
        nr, nc = next_move_pos(cur_r, cur_c, cur_step_index, True)
        if not is_in_range(nr, nc):
            memo[(cur_r, cur_c, cur_step_index, bl_cur_player_takahashi)] = True
            return True
        if rec(nr, nc, cur_step_index, not bl_cur_player_takahashi):
            memo[(cur_r, cur_c, cur_step_index, bl_cur_player_takahashi)] = True
            return True
        if rec(cur_r, cur_c, cur_step_index, not bl_cur_player_takahashi):
            memo[(cur_r, cur_c, cur_step_index, bl_cur_player_takahashi)] = True
            return True
    else:
        if cur_step_index == N - 1:
            memo[(cur_r, cur_c, cur_step_index, bl_cur_player_takahashi)] = False
            return False
        for nr, nc in (cur_r, cur_c), next_move_pos(cur_r, cur_c, cur_step_index, False):
            if not is_in_range(nr, nc): continue
            nnr, nnc = next_move_pos(nr, nc, cur_step_index + 1, True)
            if not is_in_range(nnr, nnc): continue
            if not rec(nr, nc, cur_step_index + 1, not bl_cur_player_takahashi):
                memo[(cur_r, cur_c, cur_step_index, bl_cur_player_takahashi)] = False
                return False
            if not rec(cur_r, cur_c, cur_step_index + 1, not bl_cur_player_takahashi):
                memo[(cur_r, cur_c, cur_step_index, bl_cur_player_takahashi)] = False
                return False
        memo[(cur_r, cur_c, cur_step_index, bl_cur_player_takahashi)] = True
        return True


print('NO' if rec(sr, sc, 0, True) else 'YES')


### FIXED CODE ###

def main():
    h, w, n = map(int, input().split())
    y, x = map(int, input().split())
    y -= 1
    x -= 1
    s, t = input(), input()

    u, d, l, r = 0, h - 1, 0, w - 1

    for ss, tt in reversed(tuple(zip(s, t))):
        if tt == 'U': d = min(d + 1, h - 1)
        if tt == 'D': u = max(u - 1, 0)
        if tt == 'L': r = min(r + 1, w - 1)
        if tt == 'R': l = max(l - 1, 0)

        if ss == 'U': u += 1
        if ss == 'D': d -= 1
        if ss == 'L': l += 1
        if ss == 'R': r -= 1

        if l > r or u > d:
            print('NO')
            return

    if l <= x <= r and u <= y <= d:
        print('YES')
        return
    else:
        print('NO')
        return


if __name__ == '__main__':
    main()