can u solve it-mate in 4 step (hard puzzle)

have a nice fun

How is that illegal ? It looks to me like the position can be reached.

Highlight the white text for my solution :

I put my money on 1.d3 (zugzwang) Ne3 (forced otherwise Qc4#) 2.fxe3+ Kxe3 3.Qd5 N(whatever) 4.Qe4#.

Yes the position looks legal to me.

I also found the same solution. Tricky, but not too difficult (the first move was my first candidate and black's reply is forced). Who's the composer?

I think Anupralhad is the composer. Nice puzzle! 

I do not think it's legal because the pawns made too many captures, but I'm not sure and am not going to spend time trying to figure it out.

I would like to expand on IronTiger's solution as I believe he missed this:

1.d3! Nf6 2.Bxf6 d5 3.Qb8 d6 4.Qxb6# is also four moves, and must be calculated as well.

Good catch. However as far as I can tell, 3. Qb8/c8/d8 would all be viable in that variation.

How does Qc8 work? of course Qd8 will work there...

Good question :)

There is a mate in 1 after 3. Qc8 3... d6 which relies on the fact that the knight on e5 is pinned.

In fact, if the black pawn on a4 was instead on a7, and white's pawn on a3 was on a6, the position would have been cooler :)

Ah, well spotted. I was looking in the wrong direction! It's a good exercise to play out these variations without using a board. Actually, after looking at the initial puzzle for a bit I minimize it and calculate everything in my head. Looking at the puzzle feels like cheating!

That sounds like a very good exercise. Just looking at the original position and calculating from there is challenging enough for me... :-P

step 1 : white plays g4-g5-g6 and is taken by h7. Then he can get all his kingside stuff out by there. He gives the rook on d6 for e7, and his bishop on g6 for f7.

step 2 : now black can bring all his stuff out, he gives three pieces on d3, c4 and b5 for the e2 pawn.

The rest is obvious.

Highly unlikely, yes... but legal !