In a helpmate, black actually helps white to mate him. Thus, the task is to find a series of (legal) moves, such that white mates in the last move. In general, one assumes that black starts.
So, in a problem `helpmate in two', a series is requested, where first black makes a legal chess move, then white makes a legal chess move, then black again makes a legal move, and then white makes a legal chess move that mates the black king.
Many helpmates ask for multiple solutions. Often, these solutions fulfill a certain theme, have a certain common idea behind them.
The problem is: Helpmate in Two, two solutions.
This is often abbreviated as: H#2 2.1.1.1. (H stands for help, # for mate. The first 2 tells: two different first moves. After each first move, the 1.1.1 tells that then there always is one option, which usually are different for the two series, i.e., two solutions that are different in the first move.)
Postion in FEN: 4R3/8/Q7/1B1p4/2bpR3/P2kr3/6K1/6b1
Solution A: 1. Bxb5, 1. Rxe3+; 2. Kc4, 2. Rc8++
Solution B: 1. Rxe4, 1. Bxc4+; 2. Ke3, 2. Qh6++
Max Bachmutsky was the first to send a partial solution.