背包问题二维数组

def test_2_wei_bag_problem1():weight = [1, 3, 4]value = [15, 20, 30]bagweight = 4# 二维数组dp = [[0] * (bagweight + 1) for _ in range(len(weight))]# 初始化for j in range(weight[0], bagweight + 1):dp[0][j] = value[0]# weight数组的大小就是物品个数for i in range(1, len(weight)):  # 遍历物品for j in range(bagweight + 1):  # 遍历背包容量if j < weight[i]:dp[i][j] = dp[i - 1][j]else:dp[i][j] = max(dp[i - 1][j], dp[i - 1][j - weight[i]] + value[i])print(dp[len(weight) - 1][bagweight])test_2_wei_bag_problem1()

背包问题一维数组

def test_1_wei_bag_problem():weight = [1, 3, 4]value = [15, 20, 30]bagWeight = 4# 初始化dp = [0] * (bagWeight + 1)for i in range(len(weight)):  # 遍历物品for j in range(bagWeight, weight[i] - 1, -1):  # 遍历背包容量dp[j] = max(dp[j], dp[j - weight[i]] + value[i])print(dp[bagWeight])test_1_wei_bag_problem()

416. 分割等和子集

class Solution:def canPartition(self, nums: List[int]) -> bool:target = sum(nums) /2if target != int(target):return Falsetarget =int(target)dp = [0] * (target+1)print(target)for i in nums:for j in range(target,-1,-1):if j >= i:dp[j] = max(dp[j],dp[j-i]+i)if dp[target] == target:return Trueelse:return False