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[FEN "8/8/8/8/8/4R3/2N2R2/3N1k1K w - - 0 1"]

Given that this position could be reached in a legal game of chess, and that no piece was captured on the last move, are we seeing the board from White's or Black's side?

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Answer:

Black's side.

Reasoning:

For convenience I'll just use white coordinates. If no capture was made last move, the rook cannot come from the f-file, and the black king was the only black piece on the board. Where did the black king come from previously? Not from g1/g2 (next to the white king), not from e2 (impossible double check from both rooks), and not from e1 (impossible double check from e3 rook + c2 knight).

So the black king must have come from "f2", and the double check from the rook + knight is settled with an unpromotion. Board is from black's perspective; retract -1. Re7 Kc7 -2. dxe8=N and the position unlocks.

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