Ross goes for Shopping
All submissions for this problem are available.The Big Billion day has arrived and Ross has $N$ items in his mind which he wants to purchase. After purchasing Ross found that he has total of $M$ type items from 1 to $M$. Now to distinguish the items from each other he wants to arrange them in such a way that items of same type occur continuously. For this he can select any $K$ ( $0$ <= $K$ <= $N$ ) number of items and permute them. The other $N-K$ elements remain untouched. Can you help him to find the minimum value of $K$ for which this is possible? ###Input: - The first line of the input contains two space separated integer $N$ and $M$ - The second line contains N space-separated integers which denotes the type of items he has bought as $A_1$, $A_2$, . . . . . $A_N$ . ###Output: Print a single line containing one integer — minimum value of $K$ for which items of same type occurs continuously. ###Constraints - $1 \leq N \leq 100000$ - $1 \leq M \leq 20$ - $1 \leq A_i \leq M$ ###Sample Input: 6 3 1 2 3 1 2 3 ###Sample Output: 3 ###EXPLANATION: One of the possible way is to select the items at indexes $1st$ , $3rd$ and $5th$. We can permute the selected items by placing the $1st$ ,$3rd$ and $5th$ items at $3rd$ ,$5th$ and $1st$ places respectively to finally get 2 2 1 1 3 3.
|Time Limit:||1.5 sec|
|Source Limit:||50000 Bytes|
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