416.分割等和子集增加Go二维dp解法

Author: markwang1992

problems/0416.分割等和子集.md

@@ -453,6 +453,7 @@ class Solution:
 ```
 
 ### Go：
+一维dp
 ```go
 // 分割等和子集 动态规划
 // 时间复杂度O(n^2) 空间复杂度O(n)
@@ -480,6 +481,44 @@ func canPartition(nums []int) bool {
 }
 ```
 
+二维dp
+```go
+func canPartition(nums []int) bool {
+    sum := 0
+    for _, val := range nums {
+        sum += val
+    }
+    if sum % 2 == 1 {
+        return false
+    }
+    target := sum / 2
+    dp := make([][]int, len(nums))
+    for i := range dp {
+        dp[i] = make([]int, target + 1)
+    }
+    for j := nums[0]; j <= target; j++ {
+        dp[0][j] = nums[0]
+    }
+    for i := 1; i < len(nums); i++ {
+        for j := 0; j <= target; j++ {
+            if j < nums[i] {
+                dp[i][j] = dp[i-1][j]
+            } else {
+                dp[i][j] = max(dp[i-1][j], dp[i-1][j-nums[i]] + nums[i])
+            }
+        }  
+    }
+    return dp[len(nums)-1][target] == target
+}
+
+func max(x, y int) int {
+    if x > y {
+        return x
+    }
+    return y
+}
+```
+
 ### JavaScript: 
 
 ```js