結果

問題 No.2257 Swim and Sleep
ユーザー shobonvipshobonvip
提出日時 2023-03-24 05:53:36
言語 PyPy3
(7.3.15)
結果
AC  
実行時間 423 ms / 2,000 ms
コード長 7,693 bytes
コンパイル時間 275 ms
コンパイル使用メモリ 81,624 KB
実行使用メモリ 84,676 KB
最終ジャッジ日時 2023-10-18 19:54:22
合計ジャッジ時間 6,645 ms
ジャッジサーバーID
（参考情報） 		judge13 / judge11
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 235 ms
77,348 KB
testcase_01 AC 243 ms
77,332 KB
testcase_02 AC 245 ms
77,328 KB
testcase_03 AC 423 ms
83,852 KB
testcase_04 AC 370 ms
84,408 KB
testcase_05 AC 372 ms
84,216 KB
testcase_06 AC 383 ms
84,676 KB
testcase_07 AC 276 ms
81,284 KB
testcase_08 AC 277 ms
81,540 KB
testcase_09 AC 284 ms
81,916 KB
testcase_10 AC 242 ms
77,380 KB
testcase_11 AC 245 ms
77,444 KB
testcase_12 AC 252 ms
77,424 KB
testcase_13 AC 249 ms
77,472 KB
testcase_14 AC 247 ms
77,472 KB
testcase_15 AC 243 ms
77,388 KB
testcase_16 AC 249 ms
77,404 KB
権限があれば一括ダウンロードができます

ソースコード

diff # 

#
# type3, type4 どっちがどっちだ…？？？？
# 正の順
#

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

# TYPE 1 縦・横のみ
def count_type1(m, rl, x, y, r, w, h, g):
	ret = 0

	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)
			ret += pow(2, h-f, mod)
			ret %= 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)
			ret += pow(2, w-f, mod)
			ret %= mod
	
	return ret

# TYPE 2 偶数自明 (g = 0 mod 2)
def count_type2(m, rl, x, y, r, w, h, g):
	ret = 0
	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:
				ret += pow(2, w-len(d1) + h-len(d2), mod)
				ret %= mod	
	
	return ret

# TYPE 3 (x-y)%g で場合分け
def count_type3(m, rl, x, y, r, w, h, g):
	ret = 0
	for v in [(1, 3), (0, 2)]:
		if rl[v[0]] == rl[v[1]] == 0:
			mode = 1
			d = defaultdict(lambda:-1)	
			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:
				ret += pow(2, g-len(d), mod)
				ret %= mod
	
	return ret

# TYPE 4 (x+y)%g で場合分け
def count_type4(m, rl, x, y, r, w, h, g):
	ret = 0
	for v in [(1, 2), (0, 3)]:
		if rl[v[0]] == rl[v[1]] == 0:
			mode = 1
			d = defaultdict(lambda:-1)
			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:
				ret += pow(2, g-len(d), mod)
				ret %= mod
	return ret

# TYPE 4.5.1 
def count_type451(m, rl, x, y, r, w, h, g):
	ret = 0
	for v in range(4):
		if rl[0] + rl[1] + rl[2] + rl[3] - rl[v] == 0:
			ret -= 2
			ret %= mod
	return ret

# TYPe 4.5.2
def count_type452(m, rl, x, y, r, w, h, g):
	ret = 0
	if g % 2 == 0:
		for p in range(4):
			for q in range(4):
				if p//2 == q//2: continue
				mode = 1
				for i in range(m):
					t = (x[i] + y[i]) % 2
					if t == 0 and r[i] != p:
						mode = 0
						break
					if t == 1 and r[i] != q:
						mode = 0
						break
				if mode:
					ret -= 1
					ret %= mod
	return ret

# 非自明を、つくる
def make_hijimei():
	ret = []
	for num in range(4 ** 8):
		v = num
		a = [[0] * 4 for i in range(4)]
		rl = [0] * 4
		for i in range(8):
			t = v % 4
			v //= 4
			a[i//4][i%4] = t
			a[i//4 + 2][(i+2)%4] = t
			rl[t] += 2


		mode = 1
		v = 0
		for i in range(4):
			if rl[i] == 0:
				v = 1
		if v:
			mode = 0

		# 衝突
		for i in range(4):
			md = -1
			for j in range(4):
				if a[i][j] == 0 or a[i][j] == 1:
					if md == -1:
						md = a[i][j]
					elif md != a[i][j]:
						mode = 0
						break
		
		for j in range(4):
			md = -1
			for i in range(4):
				if a[i][j] == 2 or a[i][j] == 3:
					if md == -1:
						md = a[i][j]
					elif md != a[i][j]:
						mode = 0
						break
		
		if mode == 0:
			continue

		b = [[0] * 4 for i in range(4)]
		for i in range(4):
			for j in range(4):
				b[i][j] = a[i][j]

		for tyr in range(20):
			c = [[-1] * 4 for i in range(4)]
			for i in range(4):
				for j in range(4):
					if b[i][j] == 0:
						if c[i][(j+1)%4] != -1:
							mode = 0
							break
						c[i][(j+1)%4] = b[i][j]
					if b[i][j] == 1:
						if c[i][(j-1)%4] != -1:
							mode = 0
							break
						c[i][(j-1)%4] = b[i][j]
					if b[i][j] == 2:
						if c[(i-1)%4][j] != -1:
							mode = 0
							break
						c[(i-1)%4][j] = b[i][j]
					if b[i][j] == 3:
						if c[(i+1)%4][j] != -1:
							mode = 0
							break
						c[(i+1)%4][j] = b[i][j]
			if mode == 0:
				break
			b = c
		
		if mode:
			ans = 0
			m = 16
			x = [0] * m
			y = [0] * m
			r = [0] * m
			rl = [0] * 4
			for i in range(4):
				for j in range(4):
					x[i*4 + j] = i
					y[i*4 + j] = j
					r[i*4 + j] = a[i][j]
					rl[a[i][j]] += 1
			w = 4
			h = 4
			g = 4			
			ans += count_type1(m, rl, x, y, r, w, h, g)
			ans += count_type2(m, rl, x, y, r, w, h, g)
			ans += count_type3(m, rl, x, y, r, w, h, g)
			ans += count_type4(m, rl, x, y, r, w, h, g)
			ans += count_type451(m, rl, x, y, r, w, h, g)
			ans += count_type452(m, rl, x, y, r, w, h, g)
			if ans == 0:
				ret.append(a)

	return ret

# 実行！
ar = make_hijimei()
"""
cnt = 0
for i in ar:
	for j in range(4):
		print(*i[j])
	cnt += 1
	print(cnt)
	print()
"""
def count_type5(m, rl, x, y, r, w, h, g):
	ret = 0
	if g % 4 == 0:
		a = [[-1] * 4 for i in range(4)]
		mode = 1
		for i in range(m):
			if a[x[i]%4][y[i]%4] == -1:
				a[x[i]%4][y[i]%4] = r[i]
			elif a[x[i]%4][y[i]%4] != r[i]:
				mode = 0
				break
		if mode == 0:
			return 0
		for b in ar:
			mode = 1
			for i in range(4):
				for j in range(4):
					if a[i][j] != -1 and a[i][j] != b[i][j]:
						mode = 0
						break
			if mode:
				ret += 1
	return ret




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}
	g = gcd(w, h)

	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
	ans += count_type1(m, rl, x, y, r, w, h, g)
	ans += count_type2(m, rl, x, y, r, w, h, g)
	ans += count_type3(m, rl, x, y, r, w, h, g)
	ans += count_type4(m, rl, x, y, r, w, h, g)
	ans += count_type451(m, rl, x, y, r, w, h, g)
	ans += count_type452(m, rl, x, y, r, w, h, g)
	ans += count_type5(m, rl, x, y, r, w, h, g)
	ans %= mod

	#print(w, h, m)
	return ans


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