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4kyu(cpp): add „Memoized Log Cutting“
Signed-off-by: Matej Focko <mfocko@redhat.com>
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4kyu/memoized_log_cutting/solution.cpp
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68
4kyu/memoized_log_cutting/solution.cpp
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#include <map>
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#include <vector>
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// Your new function as given to you by me, your boss.
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int cut_log(const std::vector<int>& p, int n)
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{
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std::map<int, int> cache;
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// Some array to store calculated values
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for (int j = 1; j <= n; j++) {
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cache[j] = (j < static_cast<int>(p.size())) ? p[j] : 0;
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for (int i = 1; i < j; i++) { // Two nested loops = Θ(n^2)
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cache[j] = std::max(cache[j], cache[i] + cache[j - i]);
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}
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}
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return cache[n];
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}
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#pragma region tests
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#include <gtest/gtest.h>
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static const std::vector<int>& p()
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{
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static std::vector<int> _p({ 0, 1, 5, 8, 9, 10, 17, 17, 20, 24,
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30, 32, 35, 39, 43, 43, 45, 49, 50, 54,
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57, 60, 65, 68, 70, 74, 80, 81, 84, 85,
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87, 91, 95, 99, 101, 104, 107, 112, 115, 116,
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119, 121, 125, 129, 131, 134, 135, 140, 143, 145,
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151 });
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return _p;
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}
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TEST(sample, one)
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{
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ASSERT_EQ(cut_log(p(), 1), 1);
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}
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TEST(sample, five)
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{
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ASSERT_EQ(cut_log(p(), 5), 13);
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}
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TEST(sample, eight)
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{
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ASSERT_EQ(cut_log(p(), 8), 22);
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}
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TEST(sample, ten)
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{
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ASSERT_EQ(cut_log(p(), 10), 30);
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}
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TEST(sample, twenty_two)
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{
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ASSERT_EQ(cut_log(p(), 22), 65);
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}
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int main(int argc, char** argv)
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{
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::testing::InitGoogleTest(&argc, argv);
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return RUN_ALL_TESTS();
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}
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#pragma endregion /* tests */
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@ -41,6 +41,7 @@
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- [Infix to Postfix Converter](https://www.codewars.com/kata/52e864d1ffb6ac25db00017f) - [solution](4kyu/infix_to_postfix_converter)
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- [Range Extraction](https://www.codewars.com/kata/51ba717bb08c1cd60f00002f) - [solution](4kyu/range_extraction)
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- [Shortest Knight Path](https://www.codewars.com/kata/549ee8b47111a81214000941) - [solution](4kyu/shortest_knight_path)
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- [Memoized Log Cutting](https://www.codewars.com/kata/54b058ce56f22dc6fe0011df) - [solution](4kyu/memoized_log_cutting)
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### JS
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