rs: add «1043. Partition Array for Maximum Sum»

Signed-off-by: Matej Focko <me@mfocko.xyz>

rs/partition-array-for-maximum-sum.rs

@@ -0,0 +1,21 @@
+use std::cmp;
+
+impl Solution {
+    pub fn max_sum_after_partitioning(arr: Vec<i32>, k: i32) -> i32 {
+        let mut dp: Vec<i32> = vec![0; arr.len() + 1];
+
+        for i in 1..=arr.len() {
+            let mut m = 0;
+            let mut m_sum = 0;
+
+            for j in (1..=k as usize).take_while(|j| i >= *j) {
+                m = cmp::max(m, arr[i - j]);
+                m_sum = cmp::max(m_sum, dp[i - j] + (j as i32) * m);
+            }
+
+            dp[i] = m_sum;
+        }
+
+        dp[arr.len()]
+    }
+}