//#define NDEBUG #pragma warning(disable : 4146) #include namespace n91 { using i32 = std::int32_t; using i64 = std::int64_t; using u32 = std::uint32_t; using u64 = std::uint64_t; using isize = std::ptrdiff_t; using usize = std::size_t; using f64 = double; struct rep { struct itr { usize i; constexpr itr(const usize i) noexcept : i(i) {} void operator++() noexcept { ++i; } constexpr usize operator*() const noexcept { return i; } constexpr bool operator!=(const itr x) const noexcept { return i != x.i; } }; const itr f, l; constexpr rep(const usize f, const usize l) noexcept : f(std::min(f, l)), l(l) {} constexpr auto begin() const noexcept { return f; } constexpr auto end() const noexcept { return l; } }; struct revrep { struct itr { usize i; constexpr itr(const usize i) noexcept : i(i) {} void operator++() noexcept { --i; } constexpr usize operator*() const noexcept { return i; } constexpr bool operator!=(const itr x) const noexcept { return i != x.i; } }; const itr f, l; constexpr revrep(const usize f, const usize l) noexcept : f(l - 1), l(std::min(f, l) - 1) {} constexpr auto begin() const noexcept { return f; } constexpr auto end() const noexcept { return l; } }; template auto md_vec(const usize n, const T& value) { return std::vector(n, value); } template auto md_vec(const usize n, Args... args) { return std::vector(n, md_vec(args...)); } template constexpr T difference(const T& a, const T& b) noexcept { return a < b ? b - a : a - b; } template void chmin(T& a, const T& b) noexcept { if (b < a) a = b; } template void chmax(T& a, const T& b) noexcept { if (a < b) a = b; } template class rec_lambda { F f; public: rec_lambda(F&& f_) : f(std::forward(f_)) {} template auto operator()(Args &&... args) const { return f(*this, std::forward(args)...); } }; template T scan() { T ret; std::cin >> ret; return ret; } constexpr char eoln = '\n'; i64 floor_div(const i64 n, const i64 d) { assert(d != 0); return n / d - static_cast((n ^ d) < 0 && n % d != 0); } i64 ceil_div(const i64 n, const i64 d) { assert(d != 0); return n / d + static_cast((n ^ d) >= 0 && n % d != 0); } #ifdef N91_LOCAL #define OJ_LOCAL(a, b) b #else #define OJ_LOCAL(a, b) a #endif } // namespace n91 #include using mint = atcoder::modint998244353; namespace n91 { void solve() { const u32 a = scan(); const u32 b = scan(); const usize k = scan(); struct w_t { u32 x, y; char d; }; std::vector ws(k); for (auto& [x, y, d] : ws) { std::cin >> x >> y >> d; } mint ans = 0; const u32 g = std::gcd(a, b); [&]() { std::map mp; for (const auto& [x, y, d] : ws) { if (d == 'U' || d == 'D') return; if (mp.count(y)) { if (mp[y] != d) return; } mp[y] = d; } ans += mint(2).pow(b - mp.size()); }(); [&]() { std::map mp; for (const auto& [x, y, d] : ws) { if (d == 'L' || d == 'R') return; if (mp.count(x)) { if (mp[x] != d) return; } mp[x] = d; } ans += mint(2).pow(a - mp.size()); }(); [&]() { std::map mp; for (const auto& [x, y, d] : ws) { if (d == 'L' || d == 'D') return; const u32 key = (x + y) % g; if (mp.count(key)) { if (mp[key] != d) return; } mp[key] = d; } ans += mint(2).pow(g - mp.size()); }(); [&]() { std::map mp; for (const auto& [x, y, d] : ws) { if (d == 'R' || d == 'U') return; const u32 key = (x + y) % g; if (mp.count(key)) { if (mp[key] != d) return; } mp[key] = d; } ans += mint(2).pow(g - mp.size()); }(); [&]() { std::map mp; for (const auto& [x, y, d] : ws) { if (d == 'L' || d == 'U') return; const u32 key = (x + b - y) % g; if (mp.count(key)) { if (mp[key] != d) return; } mp[key] = d; } ans += mint(2).pow(g - mp.size()); }(); [&]() { std::map mp; for (const auto& [x, y, d] : ws) { if (d == 'R' || d == 'D') return; const u32 key = (x + b - y) % g; if (mp.count(key)) { if (mp[key] != d) return; } mp[key] = d; } ans += mint(2).pow(g - mp.size()); }(); for (const char c : {'L', 'R', 'D', 'U'}) { bool ok = true; for (const auto& [x, y, d] : ws) if (d != c) ok = false; if (ok) { ans -= 2; } } if (g % 2 == 0) { [&]() { std::map mp0, mp1; for (const auto& [x, y, d] : ws) { if ((x + y) % 2 == 0) { if (d == 'U' || d == 'D') return; if (mp0.count(y) && mp0[y] != d) return; mp0[y] = d; } else { if (d == 'L' || d == 'R') return; if (mp1.count(x) && mp1[x] != d) return; mp1[x] = d; } } ans += mint(2).pow(b - mp0.size()) * mint(2).pow(a - mp1.size()); std::set st; for (const auto& [x, y, d] : ws) st.insert(d); for (const char x : {'U', 'D'}) { for (const char y : {'L', 'R'}) { if (!st.count(x) && !st.count(y)) ans -= 1; } } }(); [&]() { std::map mp0, mp1; for (const auto& [x, y, d] : ws) { if ((x + y) % 2 == 1) { if (d == 'U' || d == 'D') return; if (mp0.count(y) && mp0[y] != d) return; mp0[y] = d; } else { if (d == 'L' || d == 'R') return; if (mp1.count(x) && mp1[x] != d) return; mp1[x] = d; } } ans += mint(2).pow(b - mp0.size()) * mint(2).pow(a - mp1.size()); std::set st; for (const auto& [x, y, d] : ws) st.insert(d); for (const char x : {'U', 'D'}) { for (const char y : {'L', 'R'}) { if (!st.count(x) && !st.count(y)) ans -= 1; } } }(); } std::cout << ans.val() << eoln; } void main_() { const usize t = scan(); for (const usize i : rep(0, t)) solve(); } } // namespace n91 int main() { //* std::ios::sync_with_stdio(false); std::cin.tie(nullptr); //*/ std::cout << std::fixed << std::setprecision(20); n91::main_(); return 0; }