LeetCode :: Gas Station

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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.

通过gas - cost 构造一个数组left,left[i]表征 i  站到达下一站之后的剩余gas量;

注意点:1.记得把pos取模,从超出位置拉回来就好; 2. 根据聚合分析,时间复杂度是O(N),因为在一遍扫描之后就可以确定start位置,之后再追加一个N次扫描,因此至多为2N的时间。代码如下:

class Solution {public:    int canCompleteCircuit(vector<int> &gas, vector<int> &cost) {        int m = gas.size();        int count = 0, sum = 0, pos = 0, start = 0;        vector<int> left;        for (int i = 0; i < m; i++)            left.push_back(gas[i] - cost[i]);                    for(int i = 0; i < m; i++)            sum += left[i];        if (sum < 0)            return -1;                sum = 0;        while (count < m){          //利用count来记录走过的站点数            sum += left[pos];            pos = ++pos % m;        //取模来把超出范围的pos值拉回到0, m % m = 0 既第m+1 个pos又置0            if (sum < 0){                sum = 0;                count = 0;                start = pos;            }            else{                count++;            }        }        return start;    }};


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