結果

問題 No.2257 Swim and Sleep
ユーザー shobonvipshobonvip
提出日時 2023-03-23 22:15:25
言語 PyPy3
(7.3.15)
結果
WA  
実行時間 -
コード長 4,332 bytes
コンパイル時間 162 ms
コンパイル使用メモリ 82,432 KB
実行使用メモリ 83,584 KB
最終ジャッジ日時 2024-09-18 15:38:58
合計ジャッジ時間 2,284 ms
ジャッジサーバーID
（参考情報） 		judge2 / judge3
このコードへのチャレンジ
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テストケース

テストケース表示
入力 結果 実行時間
実行使用メモリ
testcase_00 AC 37 ms
55,424 KB
testcase_01 WA -
testcase_02 WA -
testcase_03 WA -
testcase_04 WA -
testcase_05 WA -
testcase_06 WA -
testcase_07 AC 83 ms
80,128 KB
testcase_08 AC 90 ms
80,640 KB
testcase_09 AC 99 ms
80,768 KB
testcase_10 WA -
testcase_11 WA -
testcase_12 WA -
testcase_13 WA -
testcase_14 WA -
testcase_15 WA -
testcase_16 WA -
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ソースコード

diff # 

#
# WRONG ANSWER
# TYPE 1, TYPE 2, TYPE 3, TYPE 4 のみ
# TYPE 4.5 (包除), TYPE 5 はまだ
#

import os
import sys
from io import BytesIO, IOBase

BUFSIZE = 8192


class FastIO(IOBase):
	newlines = 0
	
	def __init__(self, file):
		self._fd = file.fileno()
		self.buffer = BytesIO()
		self.writable = "x" in file.mode or "r" not in file.mode
		self.write = self.buffer.write if self.writable else None
	
	def read(self):
		while True:
			b = os.read(self._fd, max(os.fstat(self._fd).st_size, BUFSIZE))
			if not b:
				break
			ptr = self.buffer.tell()
			self.buffer.seek(0, 2), self.buffer.write(b), self.buffer.seek(ptr)
		self.newlines = 0
		return self.buffer.read()
	
	def readline(self):
		while self.newlines == 0:
			b = os.read(self._fd, max(os.fstat(self._fd).st_size, BUFSIZE))
			self.newlines = b.count(b"\n")+(not b)
			ptr = self.buffer.tell()
			self.buffer.seek(0, 2), self.buffer.write(b), self.buffer.seek(ptr)
		self.newlines -= 1
		return self.buffer.readline()
	
	def flush(self):
		if self.writable:
			os.write(self._fd, self.buffer.getvalue())
			self.buffer.truncate(0), self.buffer.seek(0)


class IOWrapper(IOBase):
	def __init__(self, file):
		self.buffer = FastIO(file)
		self.flush = self.buffer.flush
		self.writable = self.buffer.writable
		self.write = lambda s:self.buffer.write(s.encode("ascii"))
		self.read = lambda:self.buffer.read().decode("ascii")
		self.readline = lambda:self.buffer.readline().decode("ascii")


sys.stdin, sys.stdout = IOWrapper(sys.stdin), IOWrapper(sys.stdout)
input = lambda:sys.stdin.readline().rstrip("\r\n")

from math import gcd
from collections import defaultdict
mod = 998244353

def solve():
	# 順番逆のほうが直感的なので逆にしてます（ごめんね）
	w, h, m = map(int,input().split())
	v = {"U":0, "D":1, "L":2, "R":3}

	rl = [0] * 4 # 方向のカウント
	x = [0] * m # X
	y = [0] * m # Y
	r = [0] * m # 方向

	# 入力
	for i in range(m):
		xs, ys, d = input().split()
		x[i] = int(xs)
		y[i] = int(ys)
		r[i] = v[d]
		rl[r[i]] += 1

	ans = 0 # 答え
	g = gcd(h, w) # 偶数自明

	# TYPE 1 縦・横のみ
	if rl[0] + rl[1] == 0:
		d = defaultdict(lambda: -1)
		mode = 1
		for i in range(m):
			if d[y[i]] == -1:
				d[y[i]] = r[i]
			elif d[y[i]] != r[i]:
				mode = 0
				break
		if mode:
			f = len(d)
			ans += pow(2, h-f, mod)
			ans %= mod
	
	if rl[2] + rl[3] == 0:
		d = defaultdict(lambda: -1)
		mode = 1
		for i in range(m):
			if d[x[i]] == -1:
				d[x[i]] = r[i]
			elif d[x[i]] != r[i]:
				mode = 0
				break
		if mode:
			f = len(d)
			ans += pow(2, w-f, mod)
			ans %= mod
	# TYPE 1 END

	# TYPE 2 偶数自明 (g = 0 mod 2)
	if g % 2 == 0:
		for parity in range(2):
			d1 = defaultdict(lambda: -1)
			d2 = defaultdict(lambda: -1)
			mode = 1
			for i in range(m):
				if r[i] == 0 or r[i] == 1:
					# たて
					if (x[i] + y[i]) % 2 != parity:
						mode = 0
						break
					if d1[x[i]] == -1:
						d1[x[i]] = r[i]
					elif d1[x[i]] != r[i]:
						mode = 0
						break
				else:
					if (x[i] + y[i]) % 2 != 1 ^ parity:
						mode = 0
						break
					if d2[y[i]] == -1:
						d2[y[i]] = r[i]
					elif d2[y[i]] != r[i]:
						mode = 0
						break
			if mode:
				ans += pow(2, w-len(d1) + h-len(d2), mod)
				ans %= mod	
	# TYPE 2 END

	# 再掲 
	# v = {"U":0, "D":1, "L":2, "R":3}

	# TYPE 3 (x-y)%g で場合分け
	# UL, DR
	for v in [(1,3),(0,2)]:
		if rl[v[0]] + rl[v[1]] == 0:
			d = defaultdict(int)	
			for i in range(m):
				t = (x[i] - y[i]) % g
				if d[t] == -1:
					d[t] = r[i]
				elif d[t] != r[i]:
					mode = 0
					break
			if mode:
				ans += pow(2, g-len(d), mod)
				ans %= mod
	# TYPE 3 END

	# TYPE 4 (x+y)%g で場合分け
	# UR, DL
	for v in [(1,2),(0,3)]:
		if rl[v[0]] + rl[v[1]] == 0:
			d = defaultdict(int)	
			for i in range(m):
				t = (x[i] + y[i]) % g
				if d[t] == -1:
					d[t] = r[i]
				elif d[t] != r[i]:
					mode = 0
					break
			if mode:
				ans += pow(2, g-len(d), mod)
				ans %= mod
	# TYPE 4 END

	# TYPE 4.5 包除を行う
	# 4.5.1 まずは TYPE 1 を外す
	for v in range(4):
		if rl[0] + rl[1] + rl[2] + rl[3] - rl[v] == 0:
			ans -= 2
			ans %= mod
	
	# 4.5.2 次に TYPE 2 を外す

	# !!! #
	# 書け #

	# TYPE 4.5 END

	# TYPE 5 非自明

	# !!! #
	# 書け #

	# TYPE 5 END

	return ans


T = int(input())
for _ in range(T):
	print(solve())
0