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Find the Maximum Length of Valid Subsequence I

Medium

A subsequence sub of nums with length x is called valid if it satisfies:

  • (sub[0] + sub[1]) % 2 == (sub[1] + sub[2]) % 2 == ... == (sub[x - 2] + sub[x - 1]) % 2.

Produce the length of the longest valid subsequence of nums .

A subsequence is an list that can be derived from another array by deleting some or no elements without changing the order of the remaining elements.

Example 1

Input: nums = [1,2,3,4]

Output: 4

Explanation: The longest valid subsequence is [1, 2, 3, 4] .

Example 2

Input: nums = [1,2,1,1,2,1,2]

Output: 6

Explanation: The longest valid subsequence is [1, 2, 1, 2, 1, 2] .

Example 3

Input: nums = [1,3]

Output: 2

Explanation: The longest valid subsequence is [1, 3] .

Constraints

  • 2 <= nums.length <= 2 * 10^5
  • 1 <= nums[i] <= 10^7

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