Problem E
No Thanks!
In the card game “No Thanks,” the deck of cards consists of $36$ cards numbered $1$–$36$, and players collect cards to their score pile as the game is played. A player’s final score is the sum of the numbers on their collected cards, with one exception: if a player has collected any cards with two or more consecutive numbers, only the smallest number of that group counts toward the score. Your job is to compute the score for a single player’s pile of cards, though here we allow play with a deck much larger than $36$ cards.
Input
The first line contains one integer, $n$, representing the number of cards collected. The second line contains $n$ integers representing the numbers on the collected cards. You may assume that $1 \leq n \leq 90\ 000$, all card values are in the range $1\ldots 90\ 000$ inclusive, and no card value is repeated.
Output
Output a single line containing the score for the given set of cards.
| Sample Input 1 | Sample Output 1 |
|---|---|
5 1 7 5 3 4 |
11 |
| Sample Input 2 | Sample Output 2 |
|---|---|
6 2 1 3 8 4 5 |
9 |
