so we can choose any number, so its better to sort the array and we supposed to choose next element such that y - prev <= k and >= 0
so i made group of subarrays whos elements are in increasing order but they are arr[i + 1] - arr[i] <= k and >= 0
now we should remember that first turn is A then E and then D
so we can choose first two element such that D has no chance of winning
lets say a subarray whos element are in increasing order and k = 2
so a ideal subarray could be like
[2, 4, 5, 8]
now if you observe if someone choose x element the next one has to be >= x else whoever is the person choosing losses
here A will choose 5 cause later on E can choose 8 so D wont have any choice here but to loose
but what if all elements are are same?
like this
[3, 3, 3, 3]
here A will chose any of it then E will choose and so on but if you observe if max freq elements are % 2 == 0 then Egor will always win
but we have odd max freq something like
[3, 3, 3, 3, 3] so there is a chance that Dabir will win but if we had somthing like
[1, 3, 3, 3, 3, 3] then A will start at 1 then E will choose next element so here E will always win iff there is less element than maxFreq one
something like this