This is an example of position, where human player still better than engine.Check this position with Houdini, Stockfish or other strong chess engine. You can see, what all programs takes on b6, with a positional draw.Can you see the winning plan for white?

I don't have access to an engine right now. How about Kc2 Qc7 b6 axb6 Qb5? White can later play Kd1 to restrict the bishop.

h4

After Qc2, I can play h4.

1.h4 gh4 2 Qb1 h3 with idea 3 gh3 h4

1. Qb1

Qd2  keeps Black's bishop out of the action and aims at pawn on a5

plan is to move your king to a4 at the correct time.

[this is my guess, just looking at position] 

Nice idea,ponz111! You found a winning plan!!! But engine cant do it. He took on b6, with evaluation around +7.

I wonder if you left the chess engine on for a long time--if it would find a solution?

You can check by yourself.On depth more than 30,the first line is Nb6:)

Really cool. Engines only have a material calculation. So they will never let pass a chance of catching the black Queen with the white Knight like this.

Only a human can see the variation presented by the GM. No engine will never be like a human. 

But also, you have to be a professional, like GM... I think I would certainly catch the queen, if I was playing this game. Of course, since he told us that we have a victory variation, we start to search for it... But it's hard to see. Very nice!

Engines take on b6 because it is the best move ! Top engines (Komodo, Stockfish and Houdini) don`t have weaknesses at all. Nxb6 axb6 h4 and nothing stops Qh1 Qh3 later with an easy win. If I`m wrong, please show it to me.

BARAN282282BLUE this player playes unfair.. dosconnecting a game adds himself scores

Why do you bring this up here?

Can someone explain all this with a diagram to a very interested patzer like me?

White to move.Stockfish 6 cant found a right solution in this position.May be you can survive the game with white?

1.Nxb6 axb6 2.h4 gxh4 3.Qb1 h3 4.Qh1 h2 (4.gxh3 h4) and the Queen can not infiltrate.

For the 2nd puzzle:

1. f3  a4

2. Kf2  a3

3. Kg3  a2

4. Kxh3  a1=Q

5. Kxg2   and White can hold the draw.  [this is main line]