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Gas Station

Explore the gas station coding problem to understand how to find the unique starting station index for completing a circular trip given gas and travel costs. Learn the algorithm that uses one pass through gas stations to determine feasibility, utilizing variables to track current and total gas balance. Understand the logical reasoning and complexity of this solution.

Description

Suppose there are n gas stations identified by integers 0, 1, . . ., n-1, where the amount of gas at the ithi^{th} station is gas[i]. Imagine that these gas stations are arranged clockwise in a circle, as shown below.

You have a car with an unlimited gas tank. It costs cost[i] amount of gas to travel from the ithi^{th} station to the (i+1)th(i + 1)^{th} ...