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1189. Pairs of Integers

Time limit: 1.0 second
Memory limit: 64 MB
You are to find all pairs of integers such that their sum is equal to the given integer number N and the second number results from the first one by striking out one of its digits. The first integer always has at least two digits and starts with a non-zero digit. The second integer always has one digit less than the first integer and may start with a zero digit.

Input

The input consists of a single integer N (10 ≤ N ≤ 109).

Output

Write the total number of different pairs of integers that satisfy the problem statement. Then write all those pairs. Write one pair on a line in ascending order of the first integer in the pair. Each pair must be written in the following format:
X + Y = N
Here X, Y, and N must be replaced with the corresponding integer numbers. There should be exactly one space on both sides of '+' and '=' characters.

Sample

inputoutput
302
5
251 + 51 = 302
275 + 27 = 302
276 + 26 = 302
281 + 21 = 302
301 + 01 = 302
Problem Author: Vladimir Lelyukh, Roman Elizarov
Problem Source: 2001-2002 ACM Northeastern European Regional Programming Contest