Hard
You are given an array nums
and an integer k
. The XOR of a segment [left, right]
where left <= right
is the XOR
of all the elements with indices between left
and right
, inclusive: nums[left] XOR nums[left+1] XOR ... XOR nums[right]
.
Return the minimum number of elements to change in the array such that the XOR
of all segments of size k
is equal to zero.
Example 1:
Input: nums = [1,2,0,3,0], k = 1
Output: 3
Explanation: Modify the array from [1,2,0,3,0] to from [0,0,0,0,0].
Example 2:
Input: nums = [3,4,5,2,1,7,3,4,7], k = 3
Output: 3
Explanation: Modify the array from [3,4,5,2,1,7,3,4,7] to [3,4,7,3,4,7,3,4,7].
Example 3:
Input: nums = [1,2,4,1,2,5,1,2,6], k = 3
Output: 3
Explanation: Modify the array from [1,2,4,1,2,5,1,2,6] to [1,2,3,1,2,3,1,2,3].
Constraints:
1 <= k <= nums.length <= 2000
0 <= nums[i] < 210
class Solution {
fun minChanges(nums: IntArray, k: Int): Int {
val n = nums.size
val fre = Array(k) { IntArray(1024) }
for (i in 0 until n) {
fre[i % k][nums[i]]++
}
var dp = IntArray(1024)
dp.fill(-n)
dp[0] = 0
var max = 0
for (i in 0 until k) {
val dp2 = IntArray(1024)
dp2.fill(max)
var max2 = 0
for (xor in 0..1023) {
var al = i
while (al < n) {
dp2[xor] = Math.max(dp2[xor], dp[xor xor nums[al]] + fre[i][nums[al]])
al += k
}
max2 = Math.max(max2, dp2[xor])
}
max = max2
dp = dp2
}
return n - dp[0]
}
}