A11655 | Resource Distribution

The first line contains three integers $n$ , $x_1$ , $x_2$ ( $2 \leq n \leq 300\,000$ , $1 \leq x_1, x_2 \leq 10^9$ ) — the number of servers that the department may use, and resource units requirements for each of the services.

The second line contains $n$ space-separated integers $c_1, c_2, \ldots, c_n$ ( $1 \leq c_i \leq 10^9$ ) — the number of resource units provided by each of the servers.

If it is impossible to deploy both services using the given servers, print the only word "No" (without the quotes).

Otherwise print the word "Yes" (without the quotes).

In the second line print two integers $k_1$ and $k_2$ ( $1 \leq k_1, k_2 \leq n$ ) — the number of servers used for each of the services.

In the third line print $k_1$ integers, the indices of the servers that will be used for the first service.

In the fourth line print $k_2$ integers, the indices of the servers that will be used for the second service.

No index may appear twice among the indices you print in the last two lines. If there are several possible answers, it is allowed to print any of them.

In the first sample test each of the servers 1, 2 and 6 will will provide $8 / 3 = 2.(6)$ resource units and each of the servers 5, 4 will provide $16 / 2 = 8$ resource units.

In the second sample test the first server will provide $20$ resource units and each of the remaining servers will provide $32 / 3 = 10.(6)$ resource units.