A12852. City Day

For years, the Day of city N was held in the most rainy day of summer. New mayor decided to break this tradition and select a not-so-rainy day for the celebration. The mayor knows the weather forecast for the $n$ days of summer. On the $i$ -th day, $a_i$ millimeters of rain will fall. All values $a_i$ are distinct.

The mayor knows that citizens will watch the weather $x$ days before the celebration and $y$ days after. Because of that, he says that a day $d$ is not-so-rainy if $a_d$ is smaller than rain amounts at each of $x$ days before day $d$ and and each of $y$ days after day $d$ . In other words, $a_d < a_j$ should hold for all $d - x \le j < d$ and $d < j \le d + y$ . Citizens only watch the weather during summer, so we only consider such $j$ that $1 \le j \le n$ .

Help mayor find the earliest not-so-rainy day of summer.

The first line contains three integers $n$ , $x$ and $y$ ( $1 \le n \le 100\,000$ , $0 \le x, y \le 7$ ) — the number of days in summer, the number of days citizens watch the weather before the celebration and the number of days they do that after.

The second line contains $n$ distinct integers $a_1$ , $a_2$ , ..., $a_n$ ( $1 \le a_i \le 10^9$ ), where $a_i$ denotes the rain amount on the $i$ -th day.

Print a single integer — the index of the earliest not-so-rainy day of summer. We can show that the answer always exists.

In the first example days $3$ and $8$ are not-so-rainy. The $3$ -rd day is earlier.

In the second example day $3$ is not not-so-rainy, because $3 + y = 6$ and $a_3 > a_6$ . Thus, day $8$ is the answer. Note that $8 + y = 11$ , but we don't consider day $11$ , because it is not summer.