{ "data": { "question": { "questionId": "134", "questionFrontendId": "134", "categoryTitle": "Algorithms", "boundTopicId": 1139, "title": "Gas Station", "titleSlug": "gas-station", "content": "
There are n
gas stations along a circular route, where the amount of gas at the ith
station is gas[i]
.
You have a car with an unlimited gas tank and it costs cost[i]
of gas to travel from the ith
station to its next (i + 1)th
station. You begin the journey with an empty tank at one of the gas stations.
Given two integer arrays gas
and cost
, return 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
\n
Example 1:
\n\n\nInput: gas = [1,2,3,4,5], cost = [3,4,5,1,2]\nOutput: 3\nExplanation:\nStart at station 3 (index 3) and fill up with 4 unit of gas. Your tank = 0 + 4 = 4\nTravel to station 4. Your tank = 4 - 1 + 5 = 8\nTravel to station 0. Your tank = 8 - 2 + 1 = 7\nTravel to station 1. Your tank = 7 - 3 + 2 = 6\nTravel to station 2. Your tank = 6 - 4 + 3 = 5\nTravel to station 3. The cost is 5. Your gas is just enough to travel back to station 3.\nTherefore, return 3 as the starting index.\n\n\n
Example 2:
\n\n\nInput: gas = [2,3,4], cost = [3,4,3]\nOutput: -1\nExplanation:\nYou can't start at station 0 or 1, as there is not enough gas to travel to the next station.\nLet's start at station 2 and fill up with 4 unit of gas. Your tank = 0 + 4 = 4\nTravel to station 0. Your tank = 4 - 3 + 2 = 3\nTravel to station 1. Your tank = 3 - 3 + 3 = 3\nYou cannot travel back to station 2, as it requires 4 unit of gas but you only have 3.\nTherefore, you can't travel around the circuit once no matter where you start.\n\n\n
\n
Constraints:
\n\nn == gas.length == cost.length
1 <= n <= 105
0 <= gas[i], cost[i] <= 104
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。
\n\n
示例 1:
\n\n\n输入: gas = [1,2,3,4,5], cost = [3,4,5,1,2]\n输出: 3\n解释:\n从 3 号加油站(索引为 3 处)出发,可获得 4 升汽油。此时油箱有 = 0 + 4 = 4 升汽油\n开往 4 号加油站,此时油箱有 4 - 1 + 5 = 8 升汽油\n开往 0 号加油站,此时油箱有 8 - 2 + 1 = 7 升汽油\n开往 1 号加油站,此时油箱有 7 - 3 + 2 = 6 升汽油\n开往 2 号加油站,此时油箱有 6 - 4 + 3 = 5 升汽油\n开往 3 号加油站,你需要消耗 5 升汽油,正好足够你返回到 3 号加油站。\n因此,3 可为起始索引。\n\n
示例 2:
\n\n\n输入: gas = [2,3,4], cost = [3,4,3]\n输出: -1\n解释:\n你不能从 0 号或 1 号加油站出发,因为没有足够的汽油可以让你行驶到下一个加油站。\n我们从 2 号加油站出发,可以获得 4 升汽油。 此时油箱有 = 0 + 4 = 4 升汽油\n开往 0 号加油站,此时油箱有 4 - 3 + 2 = 3 升汽油\n开往 1 号加油站,此时油箱有 3 - 3 + 3 = 3 升汽油\n你无法返回 2 号加油站,因为返程需要消耗 4 升汽油,但是你的油箱只有 3 升汽油。\n因此,无论怎样,你都不可能绕环路行驶一周。\n\n
\n\n
提示:
\n\ngas.length == n
cost.length == n
1 <= n <= 105
0 <= gas[i], cost[i] <= 104
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