LeetCode #904 - Fruit Into Baskets

本文介绍了一个基于滑动窗口的算法,用于解决在一个由不同类型的水果组成的行中收集最多数量水果的问题。通过一次遍历和使用哈希表跟踪水果类型,算法能够高效地找到可以收集的最大水果数量。

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题目描述:

In a row of trees, the i-th tree produces fruit with type tree[i].

You start at any tree of your choice, then repeatedly perform the following steps:

1. Add one piece of fruit from this tree to your baskets.  If you cannot, stop.

2. Move to the next tree to the right of the current tree.  If there is no tree to the right, stop.

Note that you do not have any choice after the initial choice of starting tree: you must perform step 1, then step 2, then back to step 1, then step 2, and so on until you stop.

You have two baskets, and each basket can carry any quantity of fruit, but you want each basket to only carry one type of fruit each.

What is the total amount of fruit you can collect with this procedure?

Example 1:

Input: [1,2,1]

Output: 3

Explanation: We can collect [1,2,1].

Example 2:

Input: [0,1,2,2]

Output: 3

Explanation: We can collect [1,2,2].

If we started at the first tree, we would only collect [0, 1].

Example 3:

Input: [1,2,3,2,2]

Output: 4

Explanation: We can collect [2,3,2,2].

If we started at the first tree, we would only collect [1, 2].

Example 4:

Input: [3,3,3,1,2,1,1,2,3,3,4]

Output: 5

Explanation: We can collect [1,2,1,1,2].

If we started at the first tree or the eighth tree, we would only collect 4 fruits.

Note:

1. 1 <= tree.length <= 40000

2. 0 <= tree[i] < tree.length

class Solution {
public:
    int totalFruit(vector<int>& tree) {
        int n=tree.size();
        int i=0;
        int j=0;
        unordered_map<int,int> hash;
        int max_length=0;
        while(j<n)
        {
            if(hash.count(tree[j])>0) hash[tree[j]]++;
            else
            {
                hash[tree[j]]=1;
                if(hash.size()>2) 
                {
                    while(hash.size()>2&&i<=j)
                    {
                        hash[tree[i]]--;
                        if(hash[tree[i]]==0) hash.erase(tree[i]);
                        i++;
                    }
                }
            }
            max_length=max(max_length,j-i+1);
            j++;
        }
        return max_length;
    }
};

 

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