init

demo_vault/Code generation (Kadane algorithm python).md

@@ -0,0 +1,21 @@
+## Kadane's algorithm
+
+Kadane's algorithm is an $O(n)$ solution to this problem.
+The key idea is that for each element, we have only 2 choices:
+
+- Add this element to the current subset.
+- Start a new subset.
+
+Due to this reasons, the problem can a viewed as a sliding window problem.
+
+The general steps are as follows:
+
+1. Initialize two variables, say `currentSum` and `maxSum`. Set both of them to the first element of the array.
+2. Loop through from the 2nd to the last element in the array.
+    1. Decide to include the current number or to start a new subset using: `currentSum = max(num, currentSum + num)`
+    2. If the current value of the subset is the best so far update `maxSum`
+
+
+```python
+
+```