leetcode 121

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Say you have an array for which the ith element is the price of a given stock on day i.

If you were only permitted to complete at most one transaction (ie, buy one and sell one share of the stock), design an algorithm to find the maximum profit.

Example 1:

Input: [7, 1, 5, 3, 6, 4]Output: 5max. difference = 6-1 = 5 (not 7-1 = 6, as selling price needs to be larger than buying price)

Example 2:

Input: [7, 6, 4, 3, 1]Output: 0In this case, no transaction is done, i.e. max profit = 0.

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可能类似的题做的多了?

思路:sum[i]为a~i 最大值

sum[i+1] = max{0, sum[i]-price[i]+price[i+1]}



class Solution {
public:
    int maxProfit(vector<int>& prices) {
        int size = prices.size();
        if(size == 0)
            return 0;
        int rel[size] = {0};
        for(int i = 1; i < size ; i ++)
        {
           rel[i] = rel[i - 1] - prices[i - 1] + prices[i];
           if (rel[i] < 0)
            rel[i] = 0;
        }
        int max = 0;
        for(int i = 1; i < size ; i ++)
        {
           if (rel[i] > max)
            max = rel[i];
        }
        return max;
    }
};

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