LeetCode-----------gas-station

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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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;
    }
};

借鉴方案:

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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;
         
         
    }
};


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