CHECKERED CROWN ORIGINAL COMPOSED-POSITION ANALYSIS ORIGINAL-WORK CALCULATION NOTE — NOT WHOLE-ARTICLE RELEASE APPROVAL Prepared by Checkered Crown’s AI-assisted studio workflow. These composed teaching examples and finite calculations are original-work evidence, not external independent corroboration or examples supplied by FIDE/Chess.com. Library-generated move legality and material bookkeeping are distinguished from editorial review. Originality here describes the retained workflow, not a worldwide novelty or legal ownership certification. C016: ZWISCHENZUG BEFORE RECAPTURE The retained excerpt below predates the later Stockfish legal-enumeration crosscheck. Its “No engine” statement applies to that earlier replay, not to the later crosscheck. “Independent” describes a separate AI review/replay within the same studio workflow, not an outside institution or human chess expert. Balance is White minus Black at the stated finite horizon; a selected-response floor is a minimum over Black’s next replies after a selected White response, not an evaluation or guaranteed subsequent outcome. chess.js 1.4.0 (BSD-2-Clause) and Stockfish 19 Lite WASM (GPLv3) are computational tools, not authors or endorsers of this lesson. No dependency source/binary is distributed in this note. CHECKERED CROWN ORIGINAL COMPOSED-POSITION ANALYSIS ORIGINAL-WORK CALCULATION NOTE — NOT WHOLE-ARTICLE RELEASE APPROVAL These are original compositions, not historical game positions or calculations supplied by FIDE. Legal move trees were freshly executed using installed chess.js 1.4.0. Installed Stockfish 19 Lite WASM independently agreed on 144 legal move sets and candidate perft depths 1–3. Stockfish was used for legal enumeration, NOT search evaluation or best-move recommendations. No full-history reachability, forced-win, unique-best or eventual-game-outcome claim is made. This computational evidence is not an independent editorial/art approval. Retained original source excerpt below. Its article/replay hashes identify the earlier reviewed manuscript and original replay, not the newly integrated article. No prior independent prose approval is transferred. # Independent bounded chess evidence Article SHA256: ef3a22a23d6f53136b81101202bd9de7270d753addccba172ecff4845dc0a758 Replay SHA256: ecafca6fa5a95fc00806542643bbab39548887d1a9464710a97fc36fbf1dc434 No engine, best-move, forced-win or full-history reachability finding. A: 1 Black replies; 25 White continuations; 242 subsequent Black leaves; initial balance 1; minimum selected-response floor 9; candidate check True. A exact FEN: 4r2k/6p1/8/8/Q2n4/4P3/8/6K1 w - - 0 2 A line: exd4 Rf8; final inventory {"b": {"k": 1, "p": 1, "r": 1}, "w": {"k": 1, "p": 1, "q": 1}}; balance 4 A line: Qxe8+ Kh7 exd4; final inventory {"b": {"k": 1, "p": 1}, "w": {"k": 1, "p": 1, "q": 1}}; balance 9 B: 32 Black replies; 873 White continuations; 24990 subsequent Black leaves; initial balance 1; minimum selected-response floor 1; candidate check False. B exact FEN: 7k/6p1/8/3q4/3n4/4P3/Q5P1/5BK1 w - - 0 2 B line: Bc4 Qe5 exd4 Qxd4+; final inventory {"b": {"k": 1, "p": 1, "q": 1}, "w": {"b": 1, "k": 1, "p": 1, "q": 1}}; balance 3 B line: exd4 Qxd4+; final inventory {"b": {"k": 1, "p": 1, "q": 1}, "w": {"b": 1, "k": 1, "p": 1, "q": 1}}; balance 3 B line: Bc4 Qxc4 Qxc4; final inventory {"b": {"k": 1, "n": 1, "p": 1}, "w": {"k": 1, "p": 2, "q": 1}}; balance 7 B line: Bc4 Nc2 Bxd5; final inventory {"b": {"k": 1, "n": 1, "p": 1}, "w": {"b": 1, "k": 1, "p": 2, "q": 1}}; balance 10 B line: Bc4 Nf3+ gxf3; final inventory {"b": {"k": 1, "p": 1, "q": 1}, "w": {"b": 1, "k": 1, "p": 2, "q": 1}}; balance 4 B line: Bc4 Ne2+ Bxe2; final inventory {"b": {"k": 1, "p": 1, "q": 1}, "w": {"b": 1, "k": 1, "p": 2, "q": 1}}; balance 4 B line: Bc4 Qxg2+ Kxg2; final inventory {"b": {"k": 1, "n": 1, "p": 1}, "w": {"b": 1, "k": 1, "p": 1, "q": 1}}; balance 9 B line: Qa8+ Qxa8 exd4; final inventory {"b": {"k": 1, "p": 1, "q": 1}, "w": {"b": 1, "k": 1, "p": 2}}; balance -5 C: 28 Black replies; 707 White continuations; 16505 subsequent Black leaves; initial balance -5; minimum selected-response floor 0; candidate check False. C exact FEN: 4rq2/6pk/8/7B/Q2n4/4P3/6K1/8 w - - 0 2 C line: Qxe8 Qxe8 Bxe8 Nc2; final inventory {"b": {"k": 1, "n": 1, "p": 1}, "w": {"b": 1, "k": 1, "p": 1}}; balance 0 C line: exd4 Re7; final inventory {"b": {"k": 1, "p": 1, "q": 1, "r": 1}, "w": {"b": 1, "k": 1, "p": 1, "q": 1}}; balance -2 C line: Qxe8 Qf6 exd4 Qxd4; final inventory {"b": {"k": 1, "p": 1, "q": 1}, "w": {"b": 1, "k": 1, "q": 1}}; balance 2 C line: Qxe8 Qf3+ Bxf3 Nxf3; final inventory {"b": {"k": 1, "n": 1, "p": 1}, "w": {"k": 1, "p": 1, "q": 1}}; balance 6 C line: Qxe8 Qg8 Qxg8+ Kxg8; final inventory {"b": {"k": 1, "n": 1, "p": 1}, "w": {"b": 1, "k": 1, "p": 1}}; balance 0 C quantified result: for every one of 28 legal immediate Black replies, at least one legal White continuation has material balance >=0 after every legal next Black move; initial material balance -5. Preceding Nxd4 capture independently reconstructed and verified in all three positions. A: Rf8 leaves the a4-e8 queen diagonal; Qxe8+ has only Kh7 as legal reply. B: Bc4 Qe5 exd4 Qxd4+ and exd4 Qxd4+ both allow recovery of the pawn with check. No demonstrated benefit from Bc4 is asserted. C: queen a4 reaches e8 along b5 c6 d7; bishop h5 protects e8 along g6 f7. Qxe8 does not check Kh7. CURRENT COMPUTATION BINDINGS Integrated manuscript SHA256 ba8057e9912319b648c8b07a992ea92b25549b94e8697d9c491cb8af6a8ff702 Fresh chess.js replay SHA256 c779fac8aca87f22395e10336b44ab7c876305252c33bdaf373290af90d95027 Stockfish crosscheck SHA256 dd92e4ffa84cf6552ce187d088bb6e84031fd5612e3ebd1e1d7a1d9ee89bafe7 Stockfish script SHA256 a8f15b323f3983703638a20e0460decbb2b29b1221bb30eaecd7fb732b332519 Stockfish WASM SHA256 57ac2d72312aba346760e3f173f687a8c211208e97a87268436f7f0e10bb5387 C MATERIAL WITNESSES For each legal Black reply to 2.Qxe8, the following legal White response has the listed worst material balance after EVERY legal following Black move. Piece values P=1, N=B=3, R=5, Q=9, K=0; balance is White minus Black. This is finite material bookkeeping, not an engine evaluation. White starts at -5. Qg8 | White Qxg8+ | minimum 0 Qh8 | White Qxh8+ | minimum 0 Qf7 | White Qxf7 | minimum 9 Qf6 | White exd4 | minimum 2 Qf5 | White Bd1 | minimum 0 Qf4 | White exf4 | minimum 9 Qf3+ | White Bxf3 | minimum 6 Qf2+ | White Kxf2 | minimum 9 Qf1+ | White Kxf1 | minimum 9 Qe7 | White Qxe7 | minimum 9 Qd6 | White exd4 | minimum 2 Qc5 | White Qg6+ | minimum 0 Qb4 | White exd4 | minimum 2 Qa3 | White exd4 | minimum 3 Qxe8 | White Bxe8 | minimum 0 g6 | White Qxf8 | minimum 6 g5 | White Qxf8 | minimum 9 Kg8 | White Qxf8+ | minimum 0 Kh8 | White Qxf8+ | minimum 9 Kh6 | White Qxf8 | minimum 6 Nb5 | White Qxf8 | minimum 9 Nc6 | White Qxf8 | minimum 9 Ne6 | White Qxe6 | minimum 3 Nf5 | White Qxf8 | minimum 8 Nf3 | White Qxf8 | minimum 9 Ne2 | White Qxf8 | minimum 9 Nc2 | White Qxf8 | minimum 8 Nb3 | White Qxf8 | minimum 9