#include #include #include #include #include #include using std::cin; using std::cout; const char endl = '\n'; const int N = 55, M = N * N * 4; const int INF = 0x3f3f3f3f; const std::unordered_map> d{ {'L', {0, -1}}, {'R', {0, 1}}, {'U', {-1, 0}}, {'D', {1, 0}}, }; int n, m, k, s, t, cnt, id[N][N], cost; int idx, head[M], ver[M << 1], next[M << 1]; std::pair edge[M << 1]; int dist[M]; bool vis[M]; void add(int u, int v, int c, int w) { next[idx] = head[u]; ver[idx] = v; edge[idx] = {c, w}; head[u] = idx++; } bool spfa() { std::fill(std::begin(vis), std::end(vis), false); std::fill(std::begin(dist), std::end(dist), INF); std::queue q; q.emplace(s); dist[s] = 0; vis[s] = true; while (!q.empty()) { int u = q.front(); q.pop(); vis[u] = false; for (int i = head[u]; ~i; i = next[i]) { int v = ver[i], c = edge[i].first, w = edge[i].second; if (c > 0 && dist[v] > dist[u] + w) { dist[v] = dist[u] + w; if (!vis[v]) { q.emplace(v); vis[v] = true; } } } } return dist[t] != INF; } int dinic(int u, int limit) { if (u == t) return limit; int flow = 0; vis[u] = true; for (int i = head[u]; ~i && flow < limit; i = next[i]) { int v = ver[i], c = edge[i].first, w = edge[i].second; if (dist[v] == dist[u] + w && c > 0 && !vis[v]) { int k = dinic(v, std::min(c, limit - flow)); if (!k) dist[v] = INF; edge[i].first -= k; edge[i ^ 1].first += k; flow += k; cost += k * w; } } vis[u] = false; return flow; } int main() { std::ios::sync_with_stdio(false); cin.tie(nullptr); std::fill(std::begin(head), std::end(head), -1); cin >> n >> m >> k; for (int i = 1; i <= n; i++) { for (int j = 1; j <= m; j++) { id[i][j] = ++cnt; add(s, id[i][j], 1, 0); add(id[i][j], s, 0, 0); } } for (int i = 1; i <= k; i++) { int x, y; char d; cin >> x >> y >> d; x++, y++; int xx = x + ::d.at(d).first, yy = y + ::d.at(d).second, p = ++cnt; add(id[xx][yy], p, 1, 0); add(p, id[xx][yy], 0, 0); id[xx][yy] = ++cnt; add(p, id[xx][yy], 1, 0); add(id[xx][yy], p, 0, 0); add(id[x][y], p, 1, -1); add(p, id[x][y], 0, 1); } t = ++cnt; for (int i = 1; i <= n; i++) { for (int j = 1; j <= m; j++) { add(id[i][j], t, 1, 0); add(t, id[i][j], 0, 0); } } while (spfa() && dist[t] < 0) { while (dinic(s, INF)) {} } cout << k + cost << endl; return 0; }