https://leetcode.com/problems/beautiful-arrangement-ii
https://discuss.leetcode.com/topic/101113/c-java-clean-code-4-liner
Given two integers
Suppose this list is [a1, a2, a3, ... , an], then the list [|a1 - a2|, |a2 - a3|, |a3 - a4|, ... , |an-1 - an|] has exactly
n
and k
, you need to construct a list which contains n
different positive integers ranging from 1
to n
and obeys the following requirement: Suppose this list is [a1, a2, a3, ... , an], then the list [|a1 - a2|, |a2 - a3|, |a3 - a4|, ... , |an-1 - an|] has exactly
k
distinct integers.
If there are multiple answers, print any of them.
Example 1:
Input: n = 3, k = 1 Output: [1, 2, 3] Explanation: The [1, 2, 3] has three different positive integers ranging from 1 to 3, and the [1, 1] has exactly 1 distinct integer: 1.
Example 2:
Input: n = 3, k = 2 Output: [1, 3, 2] Explanation: The [1, 3, 2] has three different positive integers ranging from 1 to 3, and the [2, 1] has exactly 2 distinct integers: 1 and 2.
Note:
- The
n
andk
are in the range 1 <= k < n <= 104.
https://discuss.leetcode.com/topic/101113/c-java-clean-code-4-liner
if you have
if
This can be done by picking numbers interleavingly from head and tail,
n
number, the maximum k
can be n - 1
;if
n
is 9, max k
is 8.This can be done by picking numbers interleavingly from head and tail,
// start from i = 1, j = n;
// i++, j--, i++, j--, i++, j--
1 2 3 4 5
9 8 7 6
out: 1 9 2 8 3 7 6 4 5
dif: 8 7 6 5 4 3 2 1
This is a case where
When k is less than that, simply lay out the rest
order(all diff is 1). Say if k is 5:
k
is exactly n - 1
When k is less than that, simply lay out the rest
(i, j)
in incrementalorder(all diff is 1). Say if k is 5:
i++, j--, i++, j--, i++, i++, i++ ...
1 9 2 8 3 4 5 6 7
8 7 6 5 1 1 1 1
public int[] constructArray(int n, int k) {
int[] res = new int[n];
for (int i = 0, l = 1, r = n; l <= r; i++)
res[i] = k > 1 ? (k-- % 2 != 0 ? l++ : r--) : (k % 2 != 0? l++ : r--);
return res;
}