Create 1105-filling-bookcase-shelves.java

Author: sujal-goswami

java/1105-filling-bookcase-shelves.java

@@ -0,0 +1,33 @@
+class Solution {
+    public int minHeightShelves(int[][] books, int shelfWidth) {
+        Map<Integer, Integer> cache = new HashMap<>();
+        
+        return helper(books, shelfWidth, 0, cache);
+    }
+    private int helper(int[][] books, int shelfWidth, int i, Map<Integer, Integer> cache) {
+        if (i == books.length) {
+            return 0;
+        }
+        if (cache.containsKey(i)) {
+            return cache.get(i);
+        }
+        
+        int curWidth = shelfWidth;
+        int maxHeight = 0;
+        int result = Integer.MAX_VALUE;
+        
+        for (int j = i; j < books.length; j++) {
+            int width = books[j][0];
+            int height = books[j][1];
+            if (curWidth < width) {
+                break;
+            }
+            curWidth -= width;
+            maxHeight = Math.max(maxHeight, height);
+            result = Math.min(result, helper(books, shelfWidth, j + 1, cache) + maxHeight);
+        }
+        
+        cache.put(i, result);
+        return result;
+    }
+}