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## Statement

## Goal

The purpose of this puzzle is to find the result (profit) asked from 6 supplied figures. You have at your disposal the four standard operators: addition (bill), subtraction, multiplication (increase) and division.Only subtractions resulting in a positive number are considered.

Only divisions resulting in an integer are considered.

**Example 1:**

if input is

`Result`:

`a`:

`b`:

`c`:

`d`:

`e`:

`f`:

100 - 7 = 93

93 × 9 = 837

837 + 25 = 862

output would be

3

**Example 2:**

if input is

`Result`:

`a`:

`b`:

`c`:

`d`:

`e`:

`f`:

3 × 7 = 21

5 + 2 = 7

7 × 6 = 42

42 - 1 = 41

41 × 21 = 861

output would be

1

Input

**Line 1:**1 integer

`Result`giving the expected result

**Line 2:**6 integers (

`a`,

`b`,

`c`,

`d`,

`e`,

`f`) giving the available numbers for the operation

Output

**Line 1:**

**Line 2:**min distance from result if the expected result is impossible to obtain

**or**minimal number of operations if the expected result is possible to achieve

Constraints

100 ≤

`Result`≤ 999`a`,`b`,`c`,`d`,`e`,`f`in (1,2,3,4,5,6,7,8,9,10,25,50,75,100)Example

Input

101 100 5 2 3 4 1

Output

POSSIBLE 1

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