2. Best Time to Buy and Sell Stock
easyAsked at RedisFind the maximum profit from one buy-sell transaction over a price stream, a warm-up Redis uses to gauge single-pass thinking.
By Alex Chen, Founder, InterviewChamp.AI · Last verified
Problem
Given an array prices where prices[i] is the price of a stock on day i, return the maximum profit you can achieve by buying once and selling once on a later day. Return 0 if no profit is possible.
Constraints
1 <= prices.length <= 10^50 <= prices[i] <= 10^4
Examples
Example 1
prices = [7,1,5,3,6,4]5Example 2
prices = [7,6,4,3,1]0Approaches
1. Brute force
Check every (buy, sell) pair.
- Time
- O(n^2)
- Space
- O(1)
let best = 0;
for (let i = 0; i < prices.length; i++)
for (let j = i + 1; j < prices.length; j++)
best = Math.max(best, prices[j] - prices[i]);
return best;Tradeoff:
2. One-pass min tracker
Track the running minimum and best profit seen so far. Like a streaming aggregate over a Redis Stream.
- Time
- O(n)
- Space
- O(1)
function maxProfit(prices) {
let minPrice = Infinity;
let best = 0;
for (const p of prices) {
if (p < minPrice) minPrice = p;
else if (p - minPrice > best) best = p - minPrice;
}
return best;
}Tradeoff:
Redis-specific tips
Redis interviewers like to see you frame this as a streaming aggregate: how would you maintain MIN and best-profit using ZADD on a sorted set if the data couldn't fit in memory?
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