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LeetCode(134) Gas Station

2015-11-12 14:00 281 查看

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.

分析

题目描述:有N个加油站点构成一个环状,每个站点ii加油量为gas[i]gas[i],从站点ii到站点i+1i+1需要耗费有两为cost[i]cost[i],现要求从哪个站点出发可以成功转一圈回到初始站点,返回该站点,若没有则返回-1;

详细思路分析参考:算法分析网址

AC代码

class Solution {
public:
int canCompleteCircuit(vector<int> &gas, vector<int> &cost) {
if (gas.size() == 0 || cost.size() == 0 || gas.size() != cost.size()) return -1;
int total = 0, sum = 0, start = 0;
for (int i = 0; i < gas.size(); ++i){
total += (gas[i] - cost[i]);
if (sum < 0){ //发现油箱空了,从下一个站点尝试
sum = (gas[i] - cost[i]);
start = i;
}
else
sum += (gas[i] - cost[i]);
}
return total < 0 ? -1 : start; //用total判断start 是否是满足要求的解
}
};
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