Compute Dasher Daily Payment from Order Events (with Peak Hour Rate Doubling)

Problem: Compute Dasher Daily Payment from Work-Interval Events (with Peak-Hour Doubling) You are given an ordered sequence of events for a dasher within a day (input as a JSON array, each element is an event). Compute the dasher's total pay for that day. Events as billable intervals Each event contains at least: start: start timestamp (integer, seconds) end: end timestamp (integer, seconds), with end > start payRate: base rate for this interval (int/float, pay per second) Each event represents a billable work interval [start, end). Note: In the original interview the input was an open-ended JSON event schema. Here we normalize it into billable intervals with a base rate. Peak-hour doubling (follow-up 2) You are also given one or more peak-hour intervals peaks. During peak time, the pay rate is doubled. If a billable interval partially overlaps a peak interval, you must split at peak boundaries and charge accordingly. Peak intervals use [pStart, pEnd). For any second that lies in any peak interval, the effective rate is 2 * payRate, otherwise it is payRate. Goal Output the total pay (may be fractional). Input (stdin) Line 1: JSON array events. Line 2: JSON array peaks. Where: events[i] = {"start": int, "end": int, "payRate": number} peaks[j] = {"start": int, "end": int} Output (stdout) Print the total pay for the day. Constraints 1 <= len(events) <= 2e5 0 <= start < end <= 86400 0 <= payRate <= 1e6 1 <= len(peaks) <= 2e5 Must be efficient; no per-second simulation. Example Input [{"start":0,"end":10,"payRate":1},{"start":10,"end":20,"payRate":2}] [{"start":5,"end":15}] Output 35 Explanation Split intervals at peak boundaries and apply a 2x multiplier inside peak ranges. Example Input [{"start":0,"end":10,"payRate":1}] [{"start":0,"end":10}] Output 20