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:
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.
首先判断总的油够不够consume,如果总的油小于总的消耗那一定是走不完的。其次判断,过程中是否剩的油会小于0,如果小于0 那只能从下一个station开始。遍历一遍即可得到答案。
1. compare total gas and total cost, if total gas<total cost
return -1
2. iterate the whole station, rest+=gas[i]-cost[i] if rest<0, search start from the next i
return station
class Solution:
# @param gas, a list of integers
# @param cost, a list of integers
# @return an integer
def canCompleteCircuit(self, gas, cost):
if sum(gas)<sum(cost):
return -1
else:
pre=0
rest=0
station=0
for index in range(len(gas)):
rest+=gas[index]-cost[index]
if rest<0:
pre+=rest
rest=0
station=index+1
return station
本文探讨了在有限汽油条件下,如何找到一个起始点,使得汽车能够沿着一个圆形路线完整行驶一圈。通过计算总汽油量与总消耗量,以及在循环过程中检查剩余汽油是否始终非负,从而确定唯一可行的起始点。
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