775. Global and Local Inversions局部取反和全局取反
[抄题]:
We have some permutation A
of [0, 1, ..., N - 1]
, where N
is the length of A
.
The number of (global) inversions is the number of i < j
with 0 <= i < j < N
and A[i] > A[j]
.
The number of local inversions is the number of i
with 0 <= i < N
and A[i] > A[i+1]
.
Return true
if and only if the number of global inversions is equal to the number of local inversions.
Example 1:
Input: A = [1,0,2]
Output: true
Explanation: There is 1 global inversion, and 1 local inversion.
Example 2:
Input: A = [1,2,0]
Output: false
Explanation: There are 2 global inversions, and 1 local inversion.
[暴力解法]:
时间分析:
空间分析:
[优化后]:
时间分析:
空间分析:
[奇葩输出条件]:
[奇葩corner case]:
[思维问题]:
以为是n2扫2遍,结果不是啊
[英文数据结构或算法,为什么不用别的数据结构或算法]:
[一句话思路]:
global要向local靠拢,所以绝对值ai - i > 1就不行
[输入量]:空: 正常情况:特大:特小:程序里处理到的特殊情况:异常情况(不合法不合理的输入):
[画图]:
[一刷]:
[二刷]:
[三刷]:
[四刷]:
[五刷]:
[五分钟肉眼debug的结果]:
[总结]:
global要向local靠拢,所以绝对值ai - i > 1就不行
[复杂度]:Time complexity: O(n) Space complexity: O(1)
[算法思想:迭代/递归/分治/贪心]:
[关键模板化代码]:
[其他解法]:
[Follow Up]:
[LC给出的题目变变变]:
[代码风格] :
[是否头一次写此类driver funcion的代码] :
[潜台词] :
class Solution {
public boolean isIdealPermutation(int[] A) {
for (int i = 0; i < A.length; i++)
if (Math.abs(A[i] - i) > 1)
return false;
return true;
}
}
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