Package for this problem was not updated by the problem writer or Codeforces administration after we’ve upgraded the judging servers. To adjust the time limit constraint, solution execution time will be multiplied by 2. For example, if your solution works for 400 ms on judging servers, then value 800 ms will be displayed and used to determine the verdict.

Virtual contest is a way to take part in past contest, as close as possible to participation on time. It is supported only ACM-ICPC mode for virtual contests.
If you've seen these problems, a virtual contest is not for you - solve these problems in the archive.
If you just want to solve some problem from a contest, a virtual contest is not for you - solve this problem in the archive.
Never use someone else's code, read the tutorials or communicate with other person during a virtual contest.

No tag edit access

D. Lizards and Basements 2

time limit per test

2 secondsmemory limit per test

64 megabytesinput

standard inputoutput

standard outputThis is simplified version of the problem used on the original contest. The original problem seems to have too difiicult solution. The constraints for input data have been reduced.

Polycarp likes to play computer role-playing game «Lizards and Basements». At the moment he is playing it as a magician. At one of the last levels he has to fight the line of archers. The only spell with which he can damage them is a fire ball. If Polycarp hits the *i*-th archer with his fire ball (they are numbered from left to right), the archer loses *a* health points. At the same time the spell damages the archers adjacent to the *i*-th (if any) — they lose *b* (1 ≤ *b* < *a* ≤ 10) health points each.

As the extreme archers (i.e. archers numbered 1 and *n*) are very far, the fire ball cannot reach them. Polycarp can hit any other archer with his fire ball.

The amount of health points for each archer is known. An archer will be killed when this amount is less than 0. What is the minimum amount of spells Polycarp can use to kill all the enemies?

Polycarp can throw his fire ball into an archer if the latter is already killed.

Input

The first line of the input contains three integers *n*, *a*, *b* (3 ≤ *n* ≤ 10; 1 ≤ *b* < *a* ≤ 10). The second line contains a sequence of *n* integers — *h*_{1}, *h*_{2}, ..., *h*_{n} (1 ≤ *h*_{i} ≤ 15), where *h*_{i} is the amount of health points the *i*-th archer has.

Output

In the first line print *t* — the required minimum amount of fire balls.

In the second line print *t* numbers — indexes of the archers that Polycarp should hit to kill all the archers in *t* shots. All these numbers should be between 2 and *n* - 1. Separate numbers with spaces. If there are several solutions, output any of them. Print numbers in any order.

Examples

Input

3 2 1

2 2 2

Output

3

2 2 2

Input

4 3 1

1 4 1 1

Output

4

2 2 3 3

Codeforces (c) Copyright 2010-2017 Mike Mirzayanov

The only programming contests Web 2.0 platform

Server time: Jun/23/2017 23:48:20 (c2).

Desktop version, switch to mobile version.

User lists

Name |
---|