nums and a positive integer k.\nA subsequence sub of nums with length x is called valid if it satisfies:
(sub[0] + sub[1]) % k == (sub[1] + sub[2]) % k == ... == (sub[x - 2] + sub[x - 1]) % k.nums.\n\n
Example 1:
\n\nInput: nums = [1,2,3,4,5], k = 2
\n\nOutput: 5
\n\nExplanation:
\n\nThe longest valid subsequence is [1, 2, 3, 4, 5].
Example 2:
\n\nInput: nums = [1,4,2,3,1,4], k = 3
\n\nOutput: 4
\n\nExplanation:
\n\nThe longest valid subsequence is [1, 4, 1, 4].
\n
Constraints:
\n\n2 <= nums.length <= 1031 <= nums[i] <= 1071 <= k <= 103(subs[0] + subs[1]) % k from the k possible values. Let it be val.",
"Let dp[i] store the maximum length of a subsequence with its last element x such that x % k == i.",
"Answer for a subsequence ending at index y is dp[(k + val - (y % k)) % k] + 1."
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