There are N gas stations along a circular route, where the amount of gas at station i isgas[i].
You have a car with an unlimited gas tank and it costscost[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.
提交的代码
语言:C++ 运行时间: <1 ms 占用内存:8568K 状态:答案正确
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class
Solution {public: int
canCompleteCircuit(vector<int>
&gas, vector<int>
&cost) { int
N = cost.size(); int
i, j; int
alc, alg;//当前总cost和当前总gas for
(i=0;
i<N; i++){//外循环i站 if
(cost[i] > gas[i]) continue; if
(i == N-1) j
= 0; else j
= i+1; alc
= cost[i]; alg
= gas[i]; while
(j!=i){//内循环判断第i站能否做起点。由当前总cost<当前总gas来保证 alc
+=cost[j]; alg
+=gas[j]; if
(alg >= alc){//能坚持到下一站 if
(j == N-1){ j
= 0; }else{ j++; } } else
break; } if
(j==i) return
i; } return
-1; }}; |
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从start出发,
如果油量足够, 可以一直向后走 end++;油量不够的时候,start向后退
最终 start == end的时候,如果有解一定是当前 start所在位置 |
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class
Solution {public: int
canCompleteCircuit(vector<int>
&gas, vector<int>
&cost) { int
start = gas.size() - 1; int
end = 0; int
sum = gas[start] - cost[start]; while(start
> end){ if(sum
>= 0){ sum
+= gas[end] - cost[end]; ++end; }else{ --start; sum
+= gas[start] - cost[start]; } } return
sum >=0 ? start : -1; }}; |

本文介绍了一种算法,用于解决在循环路径上的加油站找到一个起始点,使得车辆能够完成一次完整的循环旅行。通过两种不同的实现方式,展示了如何有效确定是否可以从任一站点开始并返回原点。
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