Chess960 and Chess Studies

First part, I'd like to showcase a Chess960 game.

I played with Black in the Arena Kings against IM Mahammad Muradli, @ChessLover0108. Over the board, my opponents rating is 2449. online chess960 rating around 2594, and his standard blitz rating 2829.https://ratings.fide.com/profile/13409301

A very strong opponent !

Here's the position  we started with :

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Position after 12..Nb5!

After 12..Nb5!, I am threatening Nc3+ and the dark squares are very weak, and the white king is in the center.  My opponent played 13 c4 and I pocketed the exchange with 13..Nc3+ forking d1 and b1.  But I had a stronger move : 13..Na3! would win the entire rook.

At any rate, I continued to stay focused and here's how the game continued.

a clean win against a strong IM. I was lucky to play in accordance with what the position required. ..Ng4, ..Nb5...Nc3+, a5-a4. 

Even Stockfish12 agrees, here's the analysis graph. 

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Back to standard chess, lets look at studies.

First from Sam Loyd. Checkmate in 2. White to play.

can you find the first move ? Position 1

The second study is even harder.

Feel free to solve but don't feel too bad if you click ? or another button to play the solution below.

position 2: White to play and win (Platov Brothers)