Create maximum-height-by-stacking-cuboids.cpp

Author: kamyu104

C++/maximum-height-by-stacking-cuboids.cpp

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+// Time:  O(n^2)
+// Space: O(n)
+
+class Solution {
+public:
+    int maxHeight(vector<vector<int>>& cuboids) {
+        for (auto& cuboid : cuboids) {
+            sort(begin(cuboid), end(cuboid));
+        }
+        cuboids.push_back({0, 0, 0});
+        sort(begin(cuboids), end(cuboids));
+        vector<int> dp(size(cuboids));
+        for (int i = 1; i < size(cuboids); ++i) {
+            for (int j = 0; j < i; ++j) {
+                if (cuboids[j][0] <= cuboids[i][0] &&
+                    cuboids[j][1] <= cuboids[i][1] &&
+                    cuboids[j][2] <= cuboids[i][2]) {
+                    dp[i] = max(dp[i], dp[j] + cuboids[i][2]);
+                }
+            }
+        }
+        return *max_element(cbegin(dp), cend(dp));
+    }
+};