# # 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())