The base problem is LC 1475 so I felt fine at first, but the OA version asks for two things: the total and the list of undiscounted indices.
Use a monotonic stack to efficiently find the next smaller or equal element for each price in O(n) time. Compute the discounted price for each item, sum them, and collect indices of items with no discount. Return the total sum and the space-separated indices.
Pro tip: Clarify edge cases like empty array or all increasing prices, and mention that the stack approach avoids O(n^2) brute force, which is crucial for large inputs.
Restate the problem: for each item, find the first later item with price <= current; if found, discount = that price, else no discount. Need total sum of final prices and indices of items with no discount.
Use a monotonic stack to find the next smaller or equal element for each price in a single pass. This gives O(n) time and O(n) space.
Iterate through prices, maintaining a stack of indices with decreasing prices. For each price, pop indices where price <= stack top's price, assign discount, and push current index.
After processing, sum discounted prices (or original if no discount) and collect indices of items with no discount. Format indices as space-separated string.
Test with edge cases: empty array, single item, strictly increasing, strictly decreasing, duplicates. Ensure time and space complexity are optimal.
AI-generated suggestions, not part of the candidate's original notes. May be inaccurate — verify before relying on them.