max Profit Stock Algorithm
The Max Profit Stock Algorithm is an advanced mathematical model that helps investors optimize their stock trading decisions by determining the maximum profit that can be obtained by buying and selling shares of a particular stock. The algorithm takes into account the historical price data of a stock and analyzes the fluctuations in the stock's price over time. The main objective of the algorithm is to identify the best possible time to buy and sell shares so as to maximize the profit margin. This is achieved by analyzing the trends and patterns in the stock's price movements and predicting the optimal time to execute transactions.
In essence, the Max Profit Stock Algorithm works on the principle of dynamic programming and employs strategies such as peak-valley approach, divide and conquer, or any other suitable optimization techniques. It involves tracking the minimum stock price during the trading period and calculating the profit margin that can be obtained by selling the stock at subsequent higher prices. The algorithm continuously updates the minimum stock price and the maximum profit margin as the price data is being analyzed. This enables investors to make well-informed decisions about their stock trading strategies, thereby increasing their chances of making a substantial profit. The Max Profit Stock Algorithm can be a valuable tool for both novice and experienced investors who are looking to maximize their returns on investment while minimizing the risks associated with stock trading.
/**
* 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.
*/
#include <iostream>
#include <vector>
int maxProfit(std::vector<int>& prices) {
if (prices.size() == 0 ) {
return 0;
}
std::vector<int> dp(prices.size());
dp[0] = 0;
int buyPrice = prices[0];
int mostProfit = 0;
for ( size_t i = 1; i < prices.size(); ++i ) {
if ( prices[i] >= buyPrice ) {
dp[i] = dp[i-1] + prices[i] - prices[i-1];
} else {
dp[i] = 0;
buyPrice = prices[i];
}
if (mostProfit < dp[i]) {
mostProfit = dp[i];
}
}
return mostProfit;
}
void printStocks( std::vector<int> & stocks ) {
std::cout << "Stock prices:";
for ( auto stock : stocks ) {
std::cout << stock << " ";
}
std::cout << std::endl;
}
int main() {
std::vector<int> prices{ 45, 33, 66, 78, 90, 47 };
printStocks(prices);
std::cout << "Max profit from above price range:" << maxProfit(prices) << std::endl;
return 0;
}
