# [134. Gas Stations](https://leetcode.com/problems/gas-station/) ## 题目 You are given a list of gas stations on a circular route, where the amount of gas at station i is gas[i], and the cost to travel from station i to its next station (i+1) is cost[i]. You have a car with an unlimited gas tank and it costs cost[i] of gas to travel from station i to its next station (i+1). You begin the journey with an empty tank at one of the gas stations. Write a function that returns the starting gas station's index if you can travel around the circuit once in the clockwise direction, otherwise return -1. If there exists a solution, it is guaranteed to be unique. **Example 1:** ``` Input: gas = [1,2,3,4,5], cost = [3,4,5,1,2] Output: 3 Explanation: Start at station 3 (index 3), you have 4 liters of gas. Now you have a total of =0+4=4 liters of gas. Travel to station 4. Now you have 4 - 1 + 5 = 8 liters of gas. Travel to station 0. Now you have 8 - 2 + 1 = 7 liters of gas. Travel to station 1. Now you have 7 - 3 + 2 = 6 liters of gas. Travel to station 2. Now you have 6 - 4 + 3 = 5 liters of gas. Travel to station 3 again. This time you will have consumed 5 liters of gas, which is exactly enough for you to return to station 3. Therefore, 3 can be the starting index. ``` **Example 2:** ``` Input: gas = [2,3,4], cost = [3,4,3] Output: -1 Explanation: You cannot start at station 0 or 1 because there is not enough gas to get you to the next station. We start at station 2, we get 4 liters of gas. Now you have a total of =0+4=4 liters of gas. Travel to station 0. Now you have 4 - 3 + 2 = 3 liters of gas. Travel to station 1. Now you have 3 - 3 + 3 = 3 liters of gas. You cannot return to station 2 because it requires 4 liters of gas but you only have 3 liters in your tank. Therefore, no matter what, you cannot travel around the ring. ``` **Constraints:** - `gas.length == n` - `cost.length == n` - `1 <= n <= 10^5` - `0 <= gas[i], cost[i] <= 10^4` ## 题目大意 在一条环路上有 n 个加油站,其中第 i 个加油站有汽油 gas[i] 升。 你有一辆油箱容量无限的的汽车,从第 i 个加油站开往第 i+1 个加油站需要消耗汽油 cost[i] 升。你从其中的一个加油站出发,开始时油箱为空。 给定两个整数数组 gas 和 cost ,如果你可以按顺序绕环路行驶一周,则返回出发时加油站的编号,否则返回 -1 。如果存在解,则 保证 它是 唯一 的。 ## 解题思路 - 初始化总油量(totalGas)和总消耗(totalCost)为0,起始点(start)为0,当前油量(currGas)为0。 遍历每个加油站,累加油量和消耗,计算当前油量。 如果当前油量小于0,说明从上一个加油站到当前加油站的油量不足以到达下一个加油站,因此将起始点设置为当前加油站的下一个位置,并将当前油量重置为0。 遍历结束后,如果总油量小于总消耗,说明无法完成整个旅程,返回-1;否则返回起始点。 ## 代码 ```go package leetcode func canCompleteCircuit(gas []int, cost []int) int { totalGas := 0 totalCost := 0 currGas := 0 start := 0 for i := 0; i < len(gas); i++ { totalGas += gas[i] totalCost += cost[i] currGas += gas[i] - cost[i] if currGas < 0 { start = i + 1 currGas = 0 } } if totalGas < totalCost { return -1 } return start } ```