# 1/8 ICPC Azerbaijan Qualification Preparation

# Black and White

The jury has a great artistic idea - to create a rectangular panel out of a huge pile of black and white
squares of the same size. The panel should have exactly **b** 4-connected areas made of black tiles, and **w** 4-connected areas made of white tiles.

Remember, a 4-connected area of some color is a maximal set of the panel tiles such that:

- any two tiles of the area share the same color;
- for any two tiles of the area there is a tile sequence connecting them, such that any two consecutive tiles of the sequence share a common side.

In addition to the artistic idea, the jury has already developed a program that produces design of the panel. But since this problem is about art, any new solution is extremely important for the jury.

#### Input

The only line contains two integers **b** and **w** (**1** ≤ **b**, **w** ≤ **1000**) - number of black and white areas.

#### Output

The first line should contain the picture sizes **r** and **c** (**1** ≤ **r**, **c** ≤ **100 000**) - the number of rows and columns. This line should be followed by **r** lines of **c** symbols each. Each symbol should be either '**@**' (for black tile) or '**.**' (for white one). There should be no more than **100 000** tiles in the panel.

2 3

4 6 .@.@@@ @@@@@@ ...... .@....