20250407 finished.

src/problem/mod.rs

@@ -584,3 +584,5 @@ mod p1123_lowest_common_ancestor_of_deepest_leaves;
 mod p1863_sum_of_all_subset_xor_totals;
 
 mod p368_largest_divisible_subset;
+
+mod p416_partition_equal_subset_sum;

src/problem/p416_partition_equal_subset_sum.rs

@@ -0,0 +1,58 @@
+/**
+ * [416] Partition Equal Subset Sum
+ */
+pub struct Solution {}
+
+// submission codes start here
+
+impl Solution {
+    pub fn can_partition(nums: Vec<i32>) -> bool {
+        let n = nums.len();
+        if n < 2 {
+            return false;
+        }
+
+        let nums: Vec<usize> = nums.into_iter().map(|x| x as usize).collect();
+        let sum: usize = nums.iter().sum();
+
+        if sum % 2 != 0 {
+            return false;
+        }
+
+        let middle = sum / 2;
+        let mut dp = vec![vec![false; middle + 1]; n];
+
+        // 初始化dp
+        for i in 0..n {
+            dp[i][0] = true;
+        }
+        if nums[0] <= middle {
+            dp[0][nums[0]] = true;
+        }
+
+        for i in 1..n {
+            for j in 1..=middle {
+                if j < nums[i] {
+                    dp[i][j] = dp[i - 1][j];
+                } else {
+                    dp[i][j] = dp[i - 1][j] || dp[i - 1][j - nums[i]];
+                }
+            }
+        }
+
+        dp[n - 1][middle]
+    }
+}
+
+// submission codes end
+
+#[cfg(test)]
+mod tests {
+    use super::*;
+
+    #[test]
+    fn test_416() {
+        assert!(Solution::can_partition(vec![1, 5, 11, 5]));
+        assert!(!Solution::can_partition(vec![1, 2, 3, 5]));
+    }
+}