## Goal

The sum of a set of `N` integers is `S`.

Unfortunately, the plus signs have disappeared and the integers have been concatenated in a string `O`...

You have to find the positions of the plus signs to recover the addition.

If there is no solution , then print No solution, otherwise print the solution(s) in lexicographic order ( 1+11 before 11+1 ).
Input

**Line 1 :** An integer `N` as the number of terms in the addition

**Line 2 :** A long integer `S` as the sum of the `N` integers

**Line 3 :** A string `O` as the concatenation of the `N` integers

Output

If there is no solution, print No solution.

Otherwise, print the solution(s), one per line, ordered in lexicographic order (+ before 0,1,2,3...) , formatted as a valid equation a1+a2+...+aN=`S`