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June 17, 2021 16:49
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How to maximize stock profits, dynamic programming question
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/** | |
* Problem Statement: | |
* 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 (i.e., buy one and sell one share of the stock), design an algorithm to find the maximum profit. | |
* Note that you cannot sell a stock before you buy one. | |
* Example 1: | |
* Input: [7,1,5,3,6,4] | |
* Output: 5 | |
* Explanation: Buy on day 2 (price = 1) and sell on day 5 (price = 6). Profit = 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: 0 | |
* Explanation: In this case, no transaction is done, i.e. max profit = 0. | |
* | |
* Solution in O(n) time complexity | |
*/ | |
function findProfit(stock) { | |
let result = 0, profit = 0; | |
for(let i=0; i< stock.length ;i++) { | |
if(result === 0) { | |
result = Math.min(stock[i], stock[i+1] ) | |
} else { | |
result = Math.min(result, stock[i], stock[i+1] ) | |
} | |
let p = stock[i+1] - result; | |
if(p > profit) { | |
profit = p; | |
} | |
} | |
return profit; | |
} | |
console.log(findProfit([5,6,7,10,8,5])); |
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