Create filling-bookcase-shelves.cpp

Author: kamyu104

C++/filling-bookcase-shelves.cpp

@@ -0,0 +1,23 @@
+// Time:  O(n^2)
+// Space: O(n)
+
+class Solution {
+public:
+    int minHeightShelves(vector<vector<int>>& books, int shelf_width) {
+        vector<int> dp(books.size() + 1, numeric_limits<int>::max());
+        dp[0] = 0;
+        for (int i = 1; i <= books.size(); ++i) {
+            int max_width = shelf_width;
+            int max_height = 0;
+            for (int j = i - 1; j >= 0; --j) {
+                if (max_width - books[j][0] < 0) {
+                    break;
+                }
+                max_width -= books[j][0];
+                max_height = max(max_height, books[j][1]);
+                dp[i] = min(dp[i], dp[j] + max_height);
+            }
+        }
+        return dp[books.size()];
+    }
+};