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.
The solution is guaranteed to be unique.
Solution 1: assume gas tank can go negative. We start from 0 to n-1. Monitor the gas tank level. If tank lowest happens after i before i+1, then i+1 should be the place of start point. It O(n) time O(1) space solution.
public class Solution {
public int canCompleteCircuit(int[] gas, int[] cost) {
int min=Integer.MAX_VALUE, j=-1;
int res=0;
for (int i=0; i<gas.length; i++) {
res+=gas[i]-cost[i];
if (res<min) {
min=res;
j=i;
}
}
if (res<0) return -1;
if (j+1==gas.length) return 0;
return j+1;
}
}
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