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➤微信公众号:山青咏芝(shanqingyongzhi)
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A bus has n
stops numbered from 0
to n - 1
that form a circle. We know the distance between all pairs of neighboring stops where distance[i]
is the distance between the stops number i
and (i + 1) % n
.
The bus goes along both directions i.e. clockwise and counterclockwise.
Return the shortest distance between the given start
and destination
stops.
Example 1:
Input: distance = [1,2,3,4], start = 0, destination = 1 Output: 1 Explanation: Distance between 0 and 1 is 1 or 9, minimum is 1.
Example 2:
Input: distance = [1,2,3,4], start = 0, destination = 2 Output: 3 Explanation: Distance between 0 and 2 is 3 or 7, minimum is 3.
Example 3:
Input: distance = [1,2,3,4], start = 0, destination = 3 Output: 4 Explanation: Distance between 0 and 3 is 6 or 4, minimum is 4.
Constraints:
1 <= n <= 10^4
distance.length == n
0 <= start, destination < n
0 <= distance[i] <= 10^4
环形公交路线上有 n
个站,按次序从 0
到 n - 1
进行编号。我们已知每一对相邻公交站之间的距离,distance[i]
表示编号为 i
的车站和编号为 (i + 1) % n
的车站之间的距离。
环线上的公交车都可以按顺时针和逆时针的方向行驶。
返回乘客从出发点 start
到目的地 destination
之间的最短距离。
示例 1:
输入:distance = [1,2,3,4], start = 0, destination = 1 输出:1 解释:公交站 0 和 1 之间的距离是 1 或 9,最小值是 1。
示例 2:
输入:distance = [1,2,3,4], start = 0, destination = 2 输出:3 解释:公交站 0 和 2 之间的距离是 3 或 7,最小值是 3。
示例 3:
输入:distance = [1,2,3,4], start = 0, destination = 3 输出:4 解释:公交站 0 和 3 之间的距离是 6 或 4,最小值是 4。
提示:
1 <= n <= 10^4
distance.length == n
0 <= start, destination < n
0 <= distance[i] <= 10^4
1 class Solution { 2 func distanceBetweenBusStops(_ distance: [Int], _ start: Int, _ destination: Int) -> Int { 3 var path = [0, 0] 4 5 let lo = min(start, destination) 6 let hi = max(start, destination) 7 8 9 for i in 0 ..< lo { 10 path[0] += distance[i] 11 } 12 for i in lo ..< hi { 13 path[1] += distance[i] 14 } 15 for i in hi ..< distance.count { 16 path[0] += distance[i] 17 } 18 19 return path[0] < path[1] ? path[0] : path[1] 20 } 21 }
Runtime: 24 ms
1 class Solution { 2 func distanceBetweenBusStops(_ distance: [Int], _ start: Int, _ destination: Int) -> Int { 3 var S:Int = 0 4 var T:Int = 0 5 var sum:Int = 0 6 for i in 0..<distance.count 7 { 8 if i == start {S=sum} 9 if i == destination {T=sum} 10 sum += distance[i] 11 } 12 return min(abs(T-S),sum-abs(T-S)) 13 } 14 }
24ms
1 class Solution { 2 func distanceBetweenBusStops(_ distance: [Int], _ start: Int, _ destination: Int) -> Int { 3 var pathA = 0 4 var pathB = 0 5 6 let lo = start < destination ? start : destination 7 let hi = start > destination ? start : destination 8 9 for i in 0 ..< lo { 10 pathA += distance[i] 11 } 12 for i in lo ..< hi { 13 pathB += distance[i] 14 } 15 for i in hi ..< distance.count { 16 pathA += distance[i] 17 } 18 19 return pathA < pathB ? pathA : pathB 20 } 21 }
28ms
1 class Solution { 2 func distanceBetweenBusStops(_ distance: [Int], _ start: Int, _ destination: Int) -> Int { 3 var path = [0, 0] 4 5 let lo = min(start, destination) 6 let hi = max(start, destination) 7 8 9 for i in 0 ..< lo { 10 path[0] += distance[i] 11 } 12 for i in lo ..< hi { 13 path[1] += distance[i] 14 } 15 for i in hi ..< distance.count { 16 path[0] += distance[i] 17 } 18 19 return path[0] < path[1] ? path[0] : path[1] 20 } 21 }
32ms
1 class Solution { 2 func distanceBetweenBusStops(_ distance: [Int], _ start: Int, _ destination: Int) -> Int { 3 let a = min(start, destination) 4 let b = max(start, destination) 5 let sumDistance = distance.reduce(0) { result, num in result+num } 6 var sum = 0 7 for i in a..<b { 8 sum += distance[i] 9 } 10 return min(sum, sumDistance-sum) 11 } 12 }