problems(rs): solve “486. Predict the Winner”

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

problems/rs/predict-the-winner.rs

@@ -0,0 +1,22 @@
+use std::cmp::max;
+
+impl Solution {
+    pub fn predict_the_winner(nums: Vec<i32>) -> bool {
+        let mut dp = vec![vec![0; nums.len()]; nums.len()];
+
+        // initialize
+        for (i, &num) in nums.iter().enumerate() {
+            dp[i][i] = num;
+        }
+
+        // carry on the DP
+        for d in 1..nums.len() {
+            for l in 0..nums.len() - d {
+                let r = l + d;
+                dp[l][r] = max(nums[l] - dp[l + 1][r], nums[r] - dp[l][r - 1]);
+            }
+        }
+
+        dp[0][nums.len() - 1] >= 0
+    }
+}