Round Price to Nearest Valid Tick

Given price bands (each with a lower bound, upper bound, and tick width), snap an input price to the nearest valid tick. If the price is below the minimum, return the minimum; within a band, return low + n*width minimizing |price - (low + n*width)|. Inputs are doubles and prices may be negative. Requirements Instruments have valid price levels defined by bands. Each band provides a lower bound, an upper bound, and a tick width. Given a raw price, adjust it to the correct tick: If the price is below the minimum price, return the minimum price. If the price falls inside a band [low, high], return the value low + n * width that minimizes abs(price - (low + n * width)). Most values are doubles, and prices may be negative, so handle the data carefully. Examples lowerBound = 20, upperBound = 40, width = 2, price = 21.2 -> 22 Notes Within a band, the nearest tick index is n = round((price - low) / width), clamped so low + n*width stays within [low, high]. Find the band that contains the price first; the prompts are wordy and provide several bands plus widths. Watch floating-point comparisons (use a tolerance) and the negative-price and below-minimum edge cases, which are where most candidates lose time. Preparation Implement band lookup plus the round((price-low)/width) snap and verify the 21.2 -> 22 case. Test prices below the minimum, exactly on a tick, halfway between ticks, and negative.