From 88750b119003658587b9e03ff3b6f0e525d665c2 Mon Sep 17 00:00:00 2001
From: Logen <47022821+Logenleedev@users.noreply.github.com>
Date: Mon, 23 Jan 2023 17:43:15 -0600
Subject: [PATCH] =?UTF-8?q?=E6=B7=BB=E5=8A=A0=E4=BA=8C=E7=BB=B4=E6=95=B0?=
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---
 problems/0416.分割等和子集.md | 47 ++++++++++++++++++++++++++++-
 1 file changed, 46 insertions(+), 1 deletion(-)

diff --git a/problems/0416.分割等和子集.md b/problems/0416.分割等和子集.md
index ecee1d83..936ba270 100644
--- a/problems/0416.分割等和子集.md
+++ b/problems/0416.分割等和子集.md
@@ -291,18 +291,63 @@ false true false false false true true false false false true true
 
 ### Python：
 ```python
+# 一维度数组解法
 class Solution:
     def canPartition(self, nums: List[int]) -> bool:
         target = sum(nums)
         if target % 2 == 1: return False
         target //= 2
-        dp = [0] * 10001
+        dp = [0] * (len(nums) + 1)
         for i in range(len(nums)):
             for j in range(target, nums[i] - 1, -1):
                 dp[j] = max(dp[j], dp[j - nums[i]] + nums[i])
         return target == dp[target]
 ```
 
+```python
+# 二维度数组解法
+class Solution:
+    def canPartition(self, nums: List[int]) -> bool:
+        target = sum(nums)
+        nums = sorted(nums)
+
+        # 做最初的判断
+        if target % 2 != 0:
+            return False
+
+        # 找到 target value 可以认为这个是背包的体积
+        target = target // 2
+
+        row = len(nums)
+        col = target + 1
+
+        # 定义 dp table
+        dp = [[0 for _ in range(col)] for _ in range(row)] 
+
+        # 初始 dp value
+        for i in range(row):
+            dp[i][0] = 0
+        
+        for j in range(1, target):
+            if nums[0] <= j:
+                dp[0][j] = nums[0]
+
+        # 遍历 先遍历物品再遍历背包
+        for i in range(1, row):
+
+            cur_weight = nums[i]
+            cur_value = nums[i]
+
+            for j in range(1, col):
+                if cur_weight > j:
+                    dp[i][j] = dp[i - 1][j]
+                else:
+                    dp[i][j] = max(dp[i - 1][j], dp[i - 1][j - cur_weight] + cur_value)
+            
+        # 输出结果
+        return dp[-1][col - 1] == target   
+```
+
 ### Go：
 ```go
 // 分割等和子集 动态规划