添加了二维数组版本,相比于一维好理解

This commit is contained in:
Younglesszzz
2022-01-29 13:39:27 +08:00
parent 653d645dab
commit b1c3d5c4f9

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@ -210,6 +210,45 @@ class Solution {
} }
``` ```
二维数组版本(易于理解):
```Java
class Solution {
public boolean canPartition(int[] nums) {
int sum = 0;
for (int i = 0; i < nums.length; i++) {
sum += nums[i];
}
if (sum % 2 == 1)
return false;
int target = sum / 2;
//dp[i][j]代表可装物品为0-i背包容量为j的情况下背包内容量的最大价值
int[][] dp = new int[nums.length][target + 1];
//初始化,dp[0][j]的最大价值nums[0](if j > weight[i])
//dp[i][0]均为0不用初始化
for (int j = nums[0]; j <= target; j++) {
dp[0][j] = nums[0];
}
//遍历物品,遍历背包
//递推公式:
for (int i = 1; i < nums.length; i++) {
for (int j = 0; j <= target; j++) {
//背包容量可以容纳nums[i]
if (j >= nums[i]) {
dp[i][j] = Math.max(dp[i - 1][j], dp[i - 1][j - nums[i]] + nums[i]);
} else {
dp[i][j] = dp[i - 1][j];
}
}
}
return dp[nums.length - 1][target] == target;
}
}
```
Python Python
```python ```python
class Solution: class Solution: