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.
---------------------------------------------------------
O(n) time, in space
if gas[i] < cost[i], skip to i + 1, reset everything
else, add the difference to the gas[i + 1] station, repeat
until all stations have been checked.
Note that count < size + 1 since this is supposed to be a loop
class Solution {
public:
int canCompleteCircuit(vector<int> &gas, vector<int> &cost) {
// Note: The Solution object is instantiated only once and is reused by each test case.
int startPoint = -1, gasLeft = 0;
int size = gas.size();
for (int i = 0, count = 0; i < size && count < size + 1; i++, count++) {
if (i == startPoint) return i; // found a start point
gasLeft += gas[i];
if (gasLeft >= cost[i]) {
if (startPoint == -1) {
startPoint = i;
}
gasLeft -= cost[i];
if (i == size - 1) {
i = -1;
}
}else { // reset
gasLeft = 0;
startPoint = -1;
}
}
return startPoint;
}
};
----------------------------Neat version, from internet
int canCompleteCircuit(vector<int> &gas, vector<int> &cost) {
int sum = 0;
int total = 0;
int j = -1;
for(int i = 0; i < gas.size() ; ++i){
sum += gas[i]-cost[i];
total += gas[i]-cost[i];
if(sum < 0){
j=i; sum = 0;
}
}
return total>=0? j+1 : -1;
}
Update on Oct-29-2014 If car starts at A and can not reach B. Any station between A and B can not reach B.(B is the first station that A can not reach.
The solution below is not completely correct, it cannot pass the case where total cost is larger than gas, for instance: gas = {5,5,1,2,4} cost = {4,4,4,4,4}. Although OJ accepts it
public:
int canCompleteCircuit(vector<int> &gas, vector<int> &cost) {
int leftGas = 0;
int index = -1;
for (int i = 0; i < gas.size(); i++) {
if (index == -1) index = i;
leftGas += gas[i] - cost[i];
if (leftGas < 0) {
index = -1;
leftGas = 0;
}
}
if (leftGas + gas[0] - cost[0] < 0) return -1;
return index;
}
};
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