1 files changed, 34 insertions, 0 deletions

diff --git a/2025/src/day11.cpp b/2025/src/day11.cpp
index 1bf8d44..dc05ae3 100644
--- a/2025/src/day11.cpp
+++ b/2025/src/day11.cpp
@@ -99,6 +99,39 @@ part2(const Graph& graph)
         cout << "Part 2: " << dfs("svr", false, false) << '\n';
 }
 
+void
+part2_alt(const Graph& graph)
+{
+        map<tuple<string, string>, long> cache;
+
+        function<long(const string&, const string&)> dfs = [&](const string& src, const string& dst) {
+                if ( src == dst ) {
+                        return 1L;
+                }
+
+                const auto args = make_tuple(src, dst);
+
+                if ( cache.contains(args) ) {
+                        return cache.at(args);
+                }
+
+                long count = 0;
+                if ( graph.contains(src) ) {
+                        for ( const auto& node: graph.at(src) ) {
+                                count += dfs(node, dst);
+                        }
+                }
+                return cache[args] = count;
+        };
+
+        // clang-format off
+        const auto total = (dfs("svr", "dac") * dfs("dac", "fft") * dfs("fft", "out"))
+                         + (dfs("svr", "fft") * dfs("fft", "dac") * dfs("dac", "out"));
+        // clang-format on
+
+        cout << "Part 2 (alternative): " << total << '\n';
+}
+
 } // namespace
 
 int
@@ -107,4 +140,5 @@ main()
         auto graph = read_file("data/day11.txt");
         part1(graph);
         part2(graph);
+        part2_alt(graph);
 }