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.
Return the starting gas station's index if you can travel around the circuit once, otherwise return -1.
Note:
The solution is guaranteed to be unique.
我感觉这是一道比较trick的题目,用贪心算法,解决的关键在于:1,如果从A点出发中途经过几个加油站之后不能到达X点,那么A到X之间任何加油站都不能到达X点。2,如果总的油量大于路上需要消耗的油量,那么一定存在一个加油站,从它开始出发可以走完所有的加油站。知道了上面的两点就可以解决这道题目了,用remain来记录当前的油量,用tatal来记录总的油量,当remain小于0的时候,就说明之前出发的加油站不可以,要从下一个加油站出发,用start来记录从哪个加油站出发。代码如下:
public class Solution { public int canCompleteCircuit(int[] gas, int[] cost) { int remain = 0; int start = 0; int total = 0; for(int i = 0; i < gas.length; i++) { remain += gas[i] - cost[i]; total += gas[i] - cost[i]; if(remain < 0) { start = i + 1; remain = 0; } } return total < 0 ? -1 : start; } }