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leetcode Gas Station

时间:2014-09-09 16:05:40      阅读:203      评论:0      收藏:0      [点我收藏+]

标签:algorithm

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.

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class Solution {
public:
    // pass every station,the cost is gas[i] - cost[i]
    // if all the station cost sum is negative, then you can not pass a circle. otherwise, you can
    // start from some place
    // From one station, step by step, at one station if the cost sum become negative,
    //  then you must not start from this station, neighter the station before whose cost is bigger than zero
    // so the time complexity is o(n)
    //7:25
    int canCompleteCircuit(vector<int> &gas, vector<int> &cost) {
        int len = gas.size();
        int sum = 0,i=0,res=0;
        vector<int> remain(len,0);
<span style="white-space:pre">	</span>// calculate the single gas ramining in every station
        for(i=0;i<len;i++)
        {
            remain[i] = gas[i] - cost[i];
            sum += remain[i];
        }
        if(sum<0)
        {
            return -1;
        }
        sum = 0;
<span style="white-space:pre">	</span>// suppose start from the zero
        for(i=0;i<len;i++)
        {
            sum+=remain[i];
<span style="white-space:pre">	</span>    // use the front stations as the start place is not acceptable, may be start
<span style="white-space:pre">	</span>   // from next station.
            if(sum<0){
                res = i+1;
                sum = 0;
            }
        }
        return res;
    }
};


leetcode Gas Station

标签:algorithm

原文地址:http://blog.csdn.net/nan327347465/article/details/39156887

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