diff --git a/2024/include/aoc/2024/pos.h b/2024/include/aoc/2024/pos.h
index 3ff43a3..a7a7009 100644
--- a/2024/include/aoc/2024/pos.h
+++ b/2024/include/aoc/2024/pos.h
@@ -50,9 +50,15 @@ struct Pos
     return this->y < other.y;
   }
 
-  Pos operator*(const int& x) {
+  Pos operator*(const auto& x) {
     return {.x = this->x * x, .y = this->y * x};
   }
+
+  Pos& operator*= (const int& x) {
+    this->x *= x;
+    this->y *= x;
+    return *this;
+  }
 };
 
 struct PosHash
diff --git a/2024/src/CMakeLists.txt b/2024/src/CMakeLists.txt
index f165234..d6dc874 100644
--- a/2024/src/CMakeLists.txt
+++ b/2024/src/CMakeLists.txt
@@ -30,6 +30,7 @@ create_standard_test(NAME 2024_day16 SOURCES day16.cpp LIBRARIES aoc2024)
 create_standard_test(NAME 2024_day17 SOURCES day17.cpp LIBRARIES aoc2024)
 create_standard_test(NAME 2024_day18 SOURCES day18.cpp LIBRARIES aoc2024)
 create_standard_test(NAME 2024_day19 SOURCES day19.cpp LIBRARIES aoc2024)
+create_standard_test(NAME 2024_day20 SOURCES day20.cpp LIBRARIES aoc2024)
 
 ################################################################################
 # Copy input data
diff --git a/2024/src/day20.cpp b/2024/src/day20.cpp
new file mode 100644
index 0000000..327e25a
--- /dev/null
+++ b/2024/src/day20.cpp
@@ -0,0 +1,198 @@
+#include <iostream>
+#include <filesystem>
+#include <fstream>
+#include <string>
+#include <vector>
+#include <benchmark/benchmark.h>
+#include <format>
+#include <aoc/2024/pos.h>
+
+struct Data
+{
+  Pos start;
+  Pos end;
+  std::vector<std::string> grid;
+};
+
+bool in_bounds(const Pos &pos, int width, int height)
+{
+  return pos.x >= 0 && pos.x < width && pos.y >= 0 && pos.y < height;
+}
+
+std::vector<Pos> djikstra(const Data &data, int64_t width, int64_t height)
+{
+  std::priority_queue<std::pair<int64_t, Pos>, std::vector<std::pair<int64_t, Pos>>, std::greater<>> pq;
+  std::map<Pos, int64_t> dist;
+  std::map<Pos, std::vector<Pos>> prev;
+  std::set<Pos> visited;
+
+  Pos start = data.start;
+  pq.emplace(0, start);
+  dist[start] = 0;
+
+  int64_t distance = 0;
+  while (!pq.empty())
+  {
+    auto elem = pq.top();
+    pq.pop();
+    int64_t cur_dist = elem.first;
+    Pos u = elem.second;
+    visited.insert(u);
+
+    if (u == data.end)
+    {
+      distance = cur_dist;
+      break;
+    }
+
+    for (auto &new_dir : directions)
+    {
+      Pos v = u + new_dir;
+
+      if (!in_bounds(v, width, height) || visited.contains(v) || data.grid[v.y][v.x] == '#')
+      {
+        continue;
+      }
+
+      int64_t new_dist = cur_dist + 1;
+      if (!dist.contains(v) || new_dist < dist[v])
+      {
+        dist[v] = new_dist;
+        prev[v] = {u};
+        pq.emplace(new_dist, v);
+      }
+      else if (new_dist == dist[v])
+      {
+        prev[v].push_back(u);
+      }
+    }
+  }
+
+  std::vector<Pos> path;
+  Pos cur = data.end;
+  while (cur != data.start)
+  {
+    path.push_back(cur);
+    auto &prevs = prev[cur];
+    cur = prevs[0];
+  }
+  path.push_back(data.start);
+
+  return path;
+}
+
+int count_time_saving_cheats(const Data &data, int cheat_size, int min_savings)
+{
+  auto result = djikstra(data, data.grid[0].size(), data.grid.size());
+  int sum = 0;
+  for(int i = 0; i < result.size(); ++i) {
+    Pos p1 = result[result.size() - 1 - i];
+    for(int j = i + 1; j < result.size(); ++j) {
+      Pos p2 = result[result.size() - 1 - j];
+      int dist = std::abs(p1.x - p2.x) + std::abs(p1.y - p2.y);
+      int savings = j - i - dist;
+      if (dist <= cheat_size && savings >= min_savings) {
+        ++sum;
+      }
+    }
+  }
+  return sum;
+}
+
+int part1(const Data &data)
+{
+  return count_time_saving_cheats(data, 2, 100);
+}
+
+int part2(const Data &data)
+{
+  return count_time_saving_cheats(data, 20, 100);
+}
+
+Data parse()
+{
+  std::ifstream file(std::filesystem::path("inputs/day20.txt"));
+  if (!file.is_open())
+  {
+    throw std::runtime_error("file not found");
+  }
+  std::string line;
+  Data data;
+
+  int64_t j = 0;
+  while (std::getline(file, line))
+  {
+    data.grid.push_back(line);
+    auto E = line.find("E");
+    auto S = line.find("S");
+    if (E != std::string::npos)
+    {
+      data.end = Pos{.x = static_cast<int64_t>(E), .y = j};
+    }
+    if (S != std::string::npos)
+    {
+      data.start = Pos{.x = static_cast<int64_t>(S), .y = j};
+    }
+    ++j;
+  }
+
+  return data;
+}
+
+class BenchmarkFixture : public benchmark::Fixture
+{
+public:
+  static Data data;
+};
+
+Data BenchmarkFixture::data = parse();
+
+BENCHMARK_DEFINE_F(BenchmarkFixture, Part1Benchmark)
+(benchmark::State &state)
+{
+  for (auto _ : state)
+  {
+    auto s = part1(data);
+    benchmark::DoNotOptimize(s);
+  }
+}
+
+BENCHMARK_DEFINE_F(BenchmarkFixture, Part2Benchmark)
+(benchmark::State &state)
+{
+  for (auto _ : state)
+  {
+    auto s = part2(data);
+    benchmark::DoNotOptimize(s);
+  }
+}
+
+BENCHMARK_REGISTER_F(BenchmarkFixture, Part1Benchmark)->Unit(benchmark::kMillisecond);
+BENCHMARK_REGISTER_F(BenchmarkFixture, Part2Benchmark)->Unit(benchmark::kMillisecond);
+
+int main(int argc, char **argv)
+{
+  Data data = parse();
+
+  int answer1 = 1311;
+  int answer2 = 0;
+
+  auto first = part1(data);
+  std::cout << "Part 1: " << first << std::endl;
+
+  auto second = part2(data);
+  std::cout << "Part 2: " << second << std::endl;
+
+  first != answer1 ? throw std::runtime_error("Part 1 incorrect") : nullptr;
+  second != answer2 ? throw std::runtime_error("Part 2 incorrect") : nullptr;
+
+  for (int i = 1; i < argc; ++i)
+  {
+    if (std::string(argv[i]) == "--benchmark")
+    {
+      benchmark::Initialize(&argc, argv);
+      benchmark::RunSpecifiedBenchmarks();
+      return 0;
+    }
+  }
+}