Buggy python submission (verdict: Time Limit Exceeded):
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 submission:
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()

Buggy python submission (verdict: Time Limit Exceeded):
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)
}


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 bl_cur_player_takahashi:
        nr, nc = next_move_pos(cur_r, cur_c, cur_step_index, True)
        if not is_in_range(nr, nc):
            return True
        if rec(nr, nc, cur_step_index, not bl_cur_player_takahashi):
            return True
        if rec(cur_r, cur_c, cur_step_index, not bl_cur_player_takahashi):
            return True
    else:
        if cur_step_index == N - 1:
            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):
                return False
            if not rec(cur_r, cur_c, cur_step_index + 1, not bl_cur_player_takahashi):
                return False
        return True


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


Fixed submission:
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()