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➤微信公众号:山青咏芝(shanqingyongzhi)
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You are given an array x of n
positive numbers. You start at point (0,0)
and moves x[0]
metres to the north, then x[1]
metres to the west, x[2]
metres to the south, x[3]
metres to the east and so on. In other words, after each move your direction changes counter-clockwise.
Write a one-pass algorithm with O(1)
extra space to determine, if your path crosses itself, or not.
Example 1:
Input: [2,1,1,2]
?????
? ?
???????>
?
Input: true
Explanation: self crossing
Example 2:
Input: [1,2,3,4]
????????
? ?
?
?
?????????????>
Output: false
Explanation: not self crossing
Example 3:
Input: [1,1,1,1]
?????
? ?
?????>
Output: true
Explanation: self crossing
给定一个含有 n
个正数的数组 x。从点 (0,0)
开始,先向北移动 x[0]
米,然后向西移动 x[1]
米,向南移动 x[2]
米,向东移动 x[3]
米,持续移动。也就是说,每次移动后你的方位会发生逆时针变化。
编写一个 O(1)
空间复杂度的一趟扫描算法,判断你所经过的路径是否相交。
示例 1:
输入: [2,1,1,2]
?????
? ?
???????>
?
输出: true
解释: 路径交叉了
示例 2:
输入: [1,2,3,4]
????????
? ?
?
?
?????????????>
输出: false
解释: 路径没有相交
示例 3:
输入: [1,1,1,1]
?????
? ?
?????>
输出: true
解释: 路径相交了
8ms
1 class Solution { 2 func isSelfCrossing(_ x: [Int]) -> Bool { 3 if x.count < 4 { 4 return false 5 } 6 let c = x.count 7 for i in 0..<c { 8 if (i + 3 < c && x[i] >= x[i + 2] && x[i + 1] <= x[i + 3]) { 9 return true 10 } 11 if (i + 4 < c && x[i + 1] == x[i + 3] && x[i] + x[i + 4] >= x[i + 2]) { 12 return true 13 } 14 if (i + 5 < c && x[i] < x[i + 2] && x[i + 4] < x[i + 2] && x[i + 2] <= x[i] + x[i + 4] && x[i + 1] < x[i + 3] && x[i + 3] <= x[i + 1] + x[i + 5]) { 15 return true 16 } 17 } 18 return false 19 } 20 }