【题目】
There are N gas stations along a circular route, where the amount of gas at station i is gas[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.
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.
【题意】
环形路线上有N个加油站,每个加油站有汽油gas[i],从每个加油站到下一站消耗汽油cost[i],问从哪个加油站出发能够回到起始点,如果都不能则返回-1(注意,解是唯一的)。
【Java代码】(O(n^2))
public class Solution { public int canCompleteCircuit(int[] gas, int[] cost) { //依次从每一个加油站出发 for (int i = 0; i < gas.length; i++) { int j = i; int curgas = gas[j]; while (curgas >= cost[j]) { //如果当前的汽油量能够到达下一站 curgas -= cost[j]; //减去本次的消耗 j = (j + 1) % gas.length; //到达下一站 if (j == i) return i; //如果回到了起始站,那么旅行成功 curgas += gas[j]; //到下一站后重新加油,继续前进 } } return -1; } }
【Java代码】(O(n))
public class Solution { public int canCompleteCircuit(int[] gas, int[] cost) { int sum = 0; int total = 0; int j = -1; for (int i = 0; i < gas.length; i++) { sum += gas[i] - cost[i]; total += gas[i] - cost[i]; if(sum < 0) { //之前的油量不够到达当前加油站 j = i; sum = 0; } } if (total < 0) return -1; //所有加油站的油量都不够整个路程的消耗 else return j + 1; } }
原文地址:http://blog.csdn.net/ljiabin/article/details/39177111