https://leetcode.com/contest/leetcode-weekly-contest-55/problems/best-time-to-buy-and-sell-stock-with-transaction-fee/

[Implementation idea]:

1. native way O(n^2)
2. fast O(n)

result
Ans 1 = 309432285 spent = 13.226000 sec
Ans 2 = 309432285 spent = 0.000000   sec
請按任意鍵繼續 . . .

#include<vector>
#include<iostream>
#include<stdio.h>
#include <stdlib.h>
#include <time.h> 

using namespace std;

class Solution {
public:
    int maxProfit(vector<int>& prices, int fee) {
        if (prices.size() < 2)
            return 0;
        vector<int> bestFromNow(prices.size(), 0);
        int best = 0;
        int last = (prices.size() - 1);
        bestFromNow[last] = 0;
        for (int i = (last - 1); i >= 0; i--) {
            for (int j = i + 1; j < prices.size(); j++) {
                int feeNow = (prices[j] - prices[i] + bestFromNow[j]) - fee;
                if (feeNow > best) {
                    best = feeNow;
                }
            }
            bestFromNow[i] = best;
        }
        return bestFromNow[0];
    }

    int maxProfitFast(vector<int>& prices, int fee) {
        if (prices.size() < 2)
            return 0;
        int bestProfitFromNow = 0;
        int last = (prices.size() - 1);
        int best = last;
        vector<int> bestArray(prices.size(), 0);
        
        bestProfitFromNow = bestArray[last] = 0;
        for (int i = (last - 1); i >= 0; i--) {
            int profit = prices[best] - prices[i] - fee;
            if (profit < 0) {
                profit = 0;
            }
            if (profit + bestArray[best] > bestProfitFromNow) {
                bestProfitFromNow  = profit + bestArray[best];
            } 
            if ((prices[i] + bestProfitFromNow) > (prices[best] + bestArray[best])) {
                best = i;
            }
            bestArray[i] = bestProfitFromNow;
        }
        return bestProfitFromNow;
    }
};

int main() {
    int input[] = 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    int fee = 6806;
    vector<int> test(input, input + sizeof(input)/sizeof(int));
    Solution sol;
    clock_t begin = clock();
    int r1 = sol.maxProfit(test, fee);
    clock_t end = clock();
    double time_spent = (double)(end - begin) / CLOCKS_PER_SEC;
    printf("Ans 1 = %d spent = %f\n", r1, time_spent);

    begin = clock();
    int r2 = sol.maxProfitFast(test, fee);
    end = clock();
    time_spent = (double)(end - begin) / CLOCKS_PER_SEC;
    printf("Ans 2 = %d spent = %f\n", r2, time_spent);

    system("pause");
}