## 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` : 862

`a` : 7, `b` : 9, `c` : 100, `d` : 25, `e` : 3, `f` : 3

100 - 7 = 93

93 × 9 = 837

837 + 25 = 862

output would be

POSSIBLE

3

**Example 2:**

if input is

`Result` : 862

`a` : 3, `b` : 5, `c` : 6, `d` : 2, `e` : 1, `f` : 7

3 × 7 = 21

5 + 2 = 7

7 × 6 = 42

42 - 1 = 41

41 × 21 = 861

output would be

IMPOSSIBLE

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:** POSSIBLE or IMPOSSIBLE whether the operation is possible or not

**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)