Add Kadane's algorithm to DP

Author: jwl-7

src/code/javascript/dynamic_programming/kadane.js

@@ -0,0 +1,11 @@
+const kadane = (arr) => {
+    let currSub = arr[0]
+    let maxSub = arr[0]
+
+    for (let i = 1; i < arr.length; i++) {
+        currSub = Math.max(currSub + arr[i], arr[i])
+        maxSub = Math.max(maxSub, currSub)
+    }
+
+    return maxSub
+}

src/code/python/dynamic_programming/kadane.py

@@ -0,0 +1,8 @@
+def kadane(arr: list[int]) -> int:
+    curr_sub = max_sub = arr[0]
+
+    for num in arr[1:]:
+        curr_sub = max(curr_sub + num, num)
+        max_sub = max(max_sub, curr_sub)
+
+    return max_sub

src/components/Sidebar/SidebarLinks.tsx

@@ -58,6 +58,7 @@ export default function SidebarLinks() {
             <Accordion title="Dynamic Programming">
                 <LinkWithTooltip href="#dp-top-down" description="top-down DP" />
                 <LinkWithTooltip href="#dp-bottom-up" description="bottom-up DP" />
+                <LinkWithTooltip href="#dp-kadane" description="Kadane (max-sum subarray)" />
             </Accordion>
             <Accordion title="Bit Manipulation">
                 <LinkWithTooltip href="#bitmanipulation-test-kth-bit" description="test kth bit" />

src/sections/DynamicProgramming/index.tsx

@@ -4,9 +4,11 @@ import Tabs from '@components/Tabs'
 
 import TopDownPY from '@code/python/dynamic_programming/top_down.py?raw'
 import BottomUpPY from '@code/python/dynamic_programming/bottom_up.py?raw'
+import KadanePY from '@code/python/dynamic_programming/kadane.py?raw'
 
 import TopDownJS from '@code/javascript/dynamic_programming/top_down.js?raw'
 import BottomUpJS from '@code/javascript/dynamic_programming/bottom_up.js?raw'
+import KadaneJS from '@code/javascript/dynamic_programming/kadane.js?raw'
 
 
 export default function DynamicProgramming() {
@@ -25,6 +27,12 @@ export default function DynamicProgramming() {
                     <Tabs.Tab code={BottomUpJS} language="javascript" />
                 </Tabs>
             </section>
+            <section id="dp-kadane">
+                <Tabs title="Kadane (max-sum subarray)">
+                    <Tabs.Tab code={KadanePY} language="python" />
+                    <Tabs.Tab code={KadaneJS} language="javascript" />
+                </Tabs>
+            </section>
         </div>
     )
 }