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## Learning Opportunities

This puzzle can be solved using the following concepts. Practice using these concepts and improve your skills.

## Statement

## Goal

Given a set of**KIDS BLOCKS**,

The blocks pieces can be categorized into exactly

**THREE**SUBSETS

- One inch pieces.

- Two inches pieces.

- and Three inches pieces.

All have the same height (One inch).

The

**problem**is to determine if it is feasible to build a perfect rectangular wall (or square), with below conditions:

- Must use all pieces.

- The wall height must be two inches or more (two rows of blocks pieces at minimum).

**Note 1:**If all available pieces were of the same size, It is considered a correct solution to stack them vertically, But not a solution to just queue them horizontally.

The program takes three integers as inputs which are:

`x1`,

`x2`, and

`x3`--> the count of pieces in each subset respectively.

The program should print either "

**Note 2:**The given set of pieces might produce several solutions (different possible walls with different dimensions), so you can simply consider the wall is buildable once

**ANY**solution found.

**Example:**

Pieces:

5 × [_"_]

2 × [_"____"_]

1 × [_"____"____"_]

Examples of wall:

6×2

[_"_][_"_][_"____"____"_][_"_]

[_"____"_][_"_][_"____"_][_"_]

3×4

[_"_][_"_][_"_]

[_"_][_"____"_]

[_"____"_][_"_]

[_"____"____"_]

Input

**Line 1:**An integer

`x1`for the count of one-inch pieces (can be zero).

**Line 2:**An integer

`x2`for the count of two-inches pieces (can be zero).

**Line 3:**An integer

`x3`for the count of three-inches pieces (can be zero).

Output

A single line contains one string "POSSIBLE " or "NOT POSSIBLE ".

Constraints

0 ≤

- The wall should make use of all these pieces.

- The wall should consist of two rows or more (not a solution to just queue all pieces in one row!)

`x1`,`x2`,`x3`≤ 30- The wall should make use of all these pieces.

- The wall should consist of two rows or more (not a solution to just queue all pieces in one row!)

Example

Input

1 1 1

Output

POSSIBLE

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