From 205f6c0419fd76fb38c2f94c8dbea122b8ba4aa9 Mon Sep 17 00:00:00 2001
From: Lam Haoyin <root@eatswap.org>
Date: Tue, 4 Jan 2022 02:36:20 +0800
Subject: [PATCH] add: 220104-CN [stash, incomplete]!

---
 2201/220104-CN.cpp  | 130 ++++++++++++++++++++++++++++++++++++++++++++
 2201/CMakeLists.txt |   2 +-
 2 files changed, 131 insertions(+), 1 deletion(-)
 create mode 100644 2201/220104-CN.cpp

diff --git a/2201/220104-CN.cpp b/2201/220104-CN.cpp
new file mode 100644
index 0000000..57cb1f8
--- /dev/null
+++ b/2201/220104-CN.cpp
@@ -0,0 +1,130 @@
+#include <vector>
+#include <cstring>
+#include <cstdio>
+
+// #define LOCAL
+
+class Solution {
+private:
+	inline static int d[50][50];
+	inline static bool vis[50][50];
+	static int dp(int cat, int mouse, const std::vector<std::vector<int>>& graph, bool isCatMove
+#ifdef LOCAL
+				  , int depth = 0
+#endif
+		) {
+		if (d[cat][mouse] != -1) {
+#ifdef LOCAL
+			for (int i = 0; i < depth; i++, std::printf("  "));
+			std::printf("(%d, %d) is calculated before, returning %d.\n", cat, mouse, d[cat][mouse]);
+			std::fflush(stdout);
+#endif
+			return d[cat][mouse];
+		}
+		if (vis[cat][mouse]) {
+#ifdef LOCAL
+			for (int i = 0; i < depth; i++, std::printf("  "));
+			std::printf("(%d, %d) is trapped in a loop state, returning 0.\n", cat, mouse);
+			std::fflush(stdout);
+#endif
+			return 0;
+		}
+		if (mouse == 0) {
+#ifdef LOCAL
+			for (int i = 0; i < depth; i++, std::printf("  "));
+			std::printf("(%d, %d) is won by the mouse, returning 1.\n", cat, mouse);
+			std::fflush(stdout);
+#endif
+			return 1;
+		}
+		if (cat == mouse) {
+#ifdef LOCAL
+			for (int i = 0; i < depth; i++, std::printf("  "));
+			std::printf("(%d, %d) is won by the cat, returning 2.\n", cat, mouse);
+			std::fflush(stdout);
+#endif
+			return 2;
+		}
+		vis[cat][mouse] = true;
+		int ans, r, hasNext = 0;
+		int results[3]{};
+		if (isCatMove) { // Next is mouse to move
+			for (const int& catNext : graph[cat]) {
+				if (catNext == 0) continue;
+#ifdef LOCAL
+				for (int i = 0; i < depth; i++, std::printf("  "));
+				std::printf("(%d, %d) [Cat] -> Iterating into (%d, %d)\n", cat, mouse, catNext, mouse);
+				std::fflush(stdout);
+#endif
+				r = dp(catNext, mouse, graph, false
+#ifdef LOCAL
+							, 1 + depth
+#endif
+							);
+
+				++results[r];
+			}
+			if (results[2]) {
+				ans = 2;
+			} else if (results[0]) {
+				ans = 0;
+			} else {
+				ans = 1;
+			}
+		} else { // Next is cat
+			for (const int& mouseNext : graph[mouse]) {
+				if (mouseNext == cat) continue;
+#ifdef LOCAL
+				for (int i = 0; i < depth; i++, std::printf("  "));
+				std::printf("(%d, %d) [Mouse] -> Iterating into (%d, %d)\n", cat, mouse, cat, mouseNext);
+				std::fflush(stdout);
+#endif
+				r = dp(cat, mouseNext, graph, true
+#ifdef LOCAL
+							, 1 + depth
+#endif
+							);
+				++results[r];
+				hasNext += (r != 0);
+			}
+			if (!hasNext) {
+				ans = 2;
+			} else if (results[1]) {
+				ans = 1;
+			} else if (results[0]) {
+				ans = 0;
+			} else {
+				ans = 2;
+			}
+		}
+		vis[cat][mouse] = false;
+#ifdef LOCAL
+		for (int i = 0; i < depth; i++, std::printf("  "));
+		std::printf("(%d, %d) [Next move %s] is returning %d.\n", cat, mouse, isCatMove ? "cat" : "mouse", ans);
+		std::fflush(stdout);
+#endif
+		return d[cat][mouse] = ans;
+	}
+public:
+	static int catMouseGame(const std::vector<std::vector<int>>& graph) {
+		std::memset(d, -1, sizeof d);
+		std::memset(vis, 0, sizeof vis);
+		return dp(2, 1, graph, false);
+	}
+};
+
+int main() {
+	// {{1, 3}, {0}, {3}, {0, 2}} -> 1
+	// {{2, 5}, {3}, {0, 4, 5}, {1, 4, 5}, {2, 3}, {0, 2, 3}} -> 0
+	// {{2, 3}, {3, 4}, {0, 4}, {0, 1}, {1, 2}} -> 1
+	// {{3,4},{3,5},{3,6},{0,1,2},{0,5,6},{1,4},{2,4}} -> 0
+	// {{4},{2,3,5},{1,5,3},{1,2},{0},{1,2}} -> 2
+
+	std::printf("%d\n", Solution::catMouseGame({{1, 3}, {0}, {3}, {0, 2}}));
+	std::printf("%d\n", Solution::catMouseGame({{2, 5}, {3}, {0, 4, 5}, {1, 4, 5}, {2, 3}, {0, 2, 3}}));
+	std::printf("%d\n", Solution::catMouseGame({{2, 3}, {3, 4}, {0, 4}, {0, 1}, {1, 2}}));
+	std::printf("%d\n", Solution::catMouseGame({{3,4},{3,5},{3,6},{0,1,2},{0,5,6},{1,4},{2,4}}));
+
+	std::printf("%d\n", Solution::catMouseGame({{4},{2,3,5},{1,5,3},{1,2},{0},{1,2}}));
+	return 0;
+}
\ No newline at end of file
diff --git a/2201/CMakeLists.txt b/2201/CMakeLists.txt
index ad10f0f..531d879 100644
--- a/2201/CMakeLists.txt
+++ b/2201/CMakeLists.txt
@@ -3,4 +3,4 @@ PROJECT(2201)
 
 SET(CMAKE_CXX_STANDARD 23)
 
-ADD_EXECUTABLE(2201 220103.cpp)
\ No newline at end of file
+ADD_EXECUTABLE(2201 220104-CN.cpp)
\ No newline at end of file