python使用迭代回溯法实现最大装载问题，代码示例

在Python中，可以使用迭代回溯算法（Backtracking）解决0-1背包问题，这是一种典型的问题求解策略，用于在给定约束条件下找到满足条件的最大值。以下是一个简单的代码示例，实现了最大装载问题：

def backtrack(weights, values, capacity, n, curr_weight=0):
    # Base case: if we've reached the end or no more items left to consider
    if curr_weight == capacity or n == 0:
        # Check if current weight fits and has a positive value
        if curr_weight <= capacity and weights[n - 1] > 0:
            total_value += values[n - 1]
        return total_value
    
    # Try including the current item and recursively explore
    include = backtrack(weights, values, capacity, n - 1, curr_weight + weights[n - 1])
    
    # Try excluding the current item and continue exploring
    exclude = backtrack(weights, values, capacity, n - 1, curr_weight)
    
    # Choose the maximum of both options (including or excluding)
    return max(include, exclude)

# 示例数据
weights = [2, 3, 4, 5]  # 物品重量列表
values = [6, 7, 8, 9]   # 物品价值列表
capacity = 7           # 背包容量

n = len(weights)       # 物品数量
max_value = backtrack(weights, values, capacity, n)
print("最大装载价值:", max_value)