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.思路:
这道题也挺麻烦的。乍看不难,用最简单的算法就是一个一个点地计算,计算到没油了,证明这点不能作为出发点。移动到下一个点作为出发点。这样的话思路还是挺简单的,不过这样写不accepted的,因为编译超时。
我觉得做这道题的关键是要可以总结出来这道题目的属性,注意Note这个地方,其属性主要有两个:
1 如果总的gas - cost小于零的话,那么没有解返回-1
2 如果前面所有的gas - cost加起来小于零,那么前面所有的点都不能作为出发点。
C++实现代码:
#include#include using namespace std;class Solution {public: int canCompleteCircuit(vector &gas, vector &cost) { int i,j=-1; int sum=0; int total=0; for(i=0;i<(int)gas.size();i++) { sum+=gas[i]-cost[i]; total+=gas[i]-cost[i]; if(sum<0) { sum=0; j=i; } } return total>=0?j+1:-1; }};int main(){ Solution s; vector gas={ 0,4,5}; vector cost={ 1,2,6}; cout< <