416、分割等和子集:
class Solution(object):def canPartition(self, nums):""":type nums: List[int]:rtype: bool"""sum_nums = sum(nums)if sum_nums % 2 != 0:return Falsetarget = sum_nums / 2dp = [0] * (target + 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 dp[target] == target
学习了01背包问题的二维解法和一维解法,一维解法是对二维解法的状态压缩,本质上仍是二维,遍历顺序和二维也不太一样,物品是正序遍历,背包是逆序遍历,初始化决定了dp数组走向是否正确,本题的应用思路是把target看成是背包容积,nums数组里的元素看成是一个个物品