We analyze position. White has knight on g5 threatening e4? and Nxe4?? But black knight on f6 can be chased. White has strong attack on f7. Let's look at candidate moves.
We want to counterattack or defend f7. Knight f6 currently attacked by g5. Piece structure: black knights c6 f6. White bishops c1 c4. Knight g5.
Potential moves:
- Nxe4: Knight f6 captures e4? Actually e4 has a white pawn. Knight f6 can capture e4. That wins a pawn. Could be double attack.
Let's calculate. After Nxe4, white could be threatening? Let's explore: 4...Nxe4 5. Nxe4? Wait white's knight on g5 could capture e4? Knight g5 takes e4? Knight g5 to e4? Knight g5 to e4 is two squares: g5 to e4 is an L shape: g5 to e4 is (files -2, rank -1) yes possible. So after Nxe4, the e4 pawn is gone. Then white could play Nxe4 with his g5? Wait after Nxe4, pawn e4 is removed. White's g5 knight cannot capture e4 since it's empty. So maybe white would play Nxe4 piece? But white could play Bg5 from c1? not. Let's analyze concretely.
Black to move after 4.Ng5. Option 1: 4...Nxe4 5. Nxe4? But which N? White's knight on g5 could capture e4. Knight g5 (starting on g5) moves to e4 yes. Also white's knight on b1 could capture c3? Actually c3 empty. But after Nxe4, black knight from f6 goes to e4 and captures pawn. Then white could capture that knight with Nxe4 (g5). That would bring a pawn dead? Actually Nxe4 would capture the black knight on e4. So that would be a trade: black loses a knight. So Nxe4 is not good: white would regain the knight. Wait the black knight would just trade pawns, losing what? Let's compute: 4...Nxe4 5. Nxe4? then black still has knight on c6. Material: white exerts. Let's see: Starting material equal. After Nxe4, black knight captured white pawn. Then if white captures that knight with Nxe4, then the pawn from e4 is gone; white knight from g5 goes to e4. Net: each side has lost a piece: black lost knight f6. White lost pawn e4. So black down a knight for pawn. Detrimental.
Thus 4...Nxe4 is bad.
What about 4...d6? That defends e5 and potentially relieve pressure. 4...d6 would support e5. But does that give any counterattack? Possibly. Let's analyze.
4...d6 5. Nxe5 maybe? Wait white's next move? White may play Nxe5 with g5 knight capturing e5 pawn? Knight g5 to e4? Actually g5 to e4 is not e5. But White could play Bxe5? Wait white bishop on c3? Actually white bishop on c4 could capture e6? Not. Let's analyze after 4...d6.
Position after 4...d6: black moves pawn from d7 to d6. That defends e5. White's g5 knight might be under attack from d4? Not. However, black may have idea to play 5...Nxe4 after the white pawn moves? Wait if white plays Nxe5 next? Let's examine.
But we should identify stronger or forcing moves: maybe 4...Rb8 to defend f8? Not necessary.
What about 4...Be7? That would defend f7 indirectly. Actually bishop f8 moves to e7, defending f7 and maybe creating counter. But then the g5 knight might attack e4 still.
Consider 4...Ne7, moving knight f5? Wait Knight f6 to e7 moves to square e7. That would defend f5? Actually e7 defensive. Also it would put pressure on g8 etc. But does it defend f7? The bishop e7 not needed.
What about 4...Nh5? moves knight f6 to h5, attacking g7. That could threaten Nxf7 maybe. But g5 knight attacks f7? Actually white knight g5 does not attack f7 (it's one square away), but if black knight goes to h5, white can capture f6? Actually the knight g5 might capture e6? Not.
Look for checkmates or threats: White's threat after 4. Ng5 is serious because e5 pawn is exposed to check on e8 maybe after Nxe4? Wait not. Actually white threatens Nxe4 then maybe Nxf6? But black can defend.
The main threat: White can play Nxe4 (pawn) and then if black recaptures with Nxe4? Wait but the f6 knight may not recapt. Let's analyze scenario: 4...d6 5. Bf7+? Wait bishop c4 could go to f7+ check because f7 pawn still there. Wait after 4...d6, bishop c4 on c4 could go to f7 check: path from c4 to f7 is diagonal: c4-d5-e6-f7. Are there pieces along: d5 empty, e6 empty, f7 pawn. Bishop can go to f7 capturing pawn on f7? But that would be Bxf7+ delivering check, as the bishop on f7 would attack king on e8 along diagonal. But black could capture the bishop with Qxf7? Let's analyze: 5.Bxf7+ Kxf7 6.Nxe5? Actually need to evaluate.
But bishop c4 not blocked: c4-d5-e6-f7. All squares empty. So indeed 5.Bxf7+ is possible.
Let's analyze the line: 4...d6 (defending) 5.Bxf7+ Kxf7? Wait after Bxf7+, black can capture: Kxf7 (king from e8 to f7). But is that legal? Let's see: squares e8 to f7 is diagonal one square: yes. But is king on f7 square occupied by bishop from c4, yes. Is f7 protected? Knight g5 attacks e6 and f7? Knight g5 attacks e6 (not e4) and f7. Knight g5 from g5 moves to e6 (?), to f7 yes. Knight g5 to f7 is one left one up: g5->e6? That's wrong. Knight moves L: from g5 to e6: -2 file, +1 rank. g->e is -2, 5->6 +1, that's a valid knight move, yes. So g5 attacks e6 and f7. So after white Bxf7+, if black king takes on f7, then that square would be attacked by the Knight g5? Wait Knight g5 to f7? Two left one up: g5->e6? Actually Knight g5 to f7 is one left two up: g to f (-1 file), 5->7 (+2 ranks). That is a knight move: yes. So Knight g5 attacks f7. So black king on f7 would be in check by the knight? Wait we need to see: Knight g5 attacks f7 indeed. So after Bxf7+ Kxf7, the king on f7 would be in check from N? Actually the knight g5 attacks f7, so Kxf7 would be illegal if square f7 is attacked by knight g5. But we need to check if other pieces block. Knight g5 attacks f7, so capturing the bishop with the king would leave king under attack. So Kxf7 is illegal. Therefore black cannot capture with king. What about Qxf7? After Bxf7+, black could capture with queen? From d8 to f6? Actually queen d8 to f6 diagonal? Not. Qxf7 from d8 to f6? Wait queen d8 to f6 is not correct. But queen d8 to f6? queen moves like bishop or rook: d8 to f6 is two files right, two ranks down: yes diagonal. Is there any piece blocking? e7? e7 empty currently. So queen d8 to f6 could capture e? Actually we want queen to capture bishop on f7: queen d8 to f6? Wait bishop on f7 is at f7. Path from d8 to f7: diagonal: d8-e7-f6 ... Wait queen cannot go to f7 directly because there is no path: d8->e7->f6->g5? Actually to go to f7 from d8 would be: difference: file +2, rank -1. That's not a rook or bishop move. So queen cannot. Knight f6 perhaps can capture f7? Knight f6 to d7? Not. But maybe black can capture bishop with the knight from c6? Knight c6 to e7? not. Actually bishop f8 could capture on g7? Not bishop.
Can black capture the bishop on f7 with queen? Wait queen d8 line to f6? Not.
So after Bxf7+, the only pieces that could capture it: king e8 to f7 (illegal due to knight g5). Knight f6 to h5? not. Bishop f8 to g7? not. Knight c6 to e7? not. So what to do against the check? Let's analyze the move: 4...d6 5.Bxf7+? Wait what about black's reply 5...Kd7? King e8 to d7, but can king move from e8 to d7? That's diagonal up left: e8->d7: yes. But is d7 square empty after d6? Wait d7 had pawn moved to d6, so d7 empty. Is d7 attacked by white pieces? Let's check: White pieces: bishop c4 attacks d5 e6 f7 g8; knight g5 attacks e4 e6 f7 h7 i6? Actually g5 not. Knight g5 also attacks e4 f7 h7 i6 (invalid). So d7 is attacked by what? Maybe bishop c6? Not. Rook a1? Not. Bishop c1? Not. Pawn d2? Not. So king could move to d7, maybe. But moving to d7 may put king in line of bishop c4 to f7? After Bxf7+ the bishop takes the pawn f7, giving check along the diagonal? Wait bishop on f7 attacks e8 and g8. After check, if king moves to d7, would it be in check from any piece? Let's analyze: After Bxf7+, black pieces: bishop f8 on f8, knight f6 on f6, knight c6 on c6, queen d8, rook h8 etc. White: bishop on f7, knight g5, rook h1, a1, Qd1 etc. The king e8 moved to d7. Would any white piece attack d7? Knight g5 attacks e6 f7 h7 i6. Not d7. Bishop c4 attacks d5 e6 f7 g8. So d7 not attacked. Queen d1? Not. So king could move to d7. But then there is also possibility of capturing bishop with Kxf7? Not.
But is d7 square safe after moving? Wait black might want to play 5...Kd7 6.Nxe5? Actually after 4...d6 5.Bxf7+ Kd7 6.Nxe5? Let's analyze.
But is 4...d6 a good idea? Actually typical puzzle: 4.Ng5 e5? there is known check. However, after 4...d6, 5.Bxf7+ Kd7 6.Nxe5 Bc5?? Something.
Let's check other move: 4... Nc6? Already there. 4... Qe7. That defends f7? Not. Actually queen from d8 to e7 protects f6? Let's analyze: 4...Qe7 gives potential for check on e8? Actually queen could support the knight. And after Qe7, if white plays Nxe4, queen attacks e8? Wait queen e7 would defend f6? Maybe.
Alternatively, 4...Be7: bishop f8 to e7 protects f7 (since bishop on e7 controls f8 g9? Actually bishop e7 defends f8? Wait bishop e7 would attack f6 g5 h4 and d6 c5 b4. That's not f7. So maybe not.
The main immediate threat: Nxe4. After 4...d6, white could play Nxe4, winning a pawn. How to defend? If black plays 4...d6, we defends e5, not e4. Nxe4 attacks f6? Actually not. After 4...d6 5.Nxe4? Knight g5 to e4 capturing pawn. After capturing, black can reply Nxe4?? from c5? Wait black knight f6 could capture e4? Actually after 5.Nxe4, the pawn e4 is gone. Black's c6 knight could capture e5? Wait no.
But after 5. Nxe4, black might play Nxe4? Let's evaluate: white's knight g5 moved to e4. Square e4 reachable by Black's knight f6? Knight f6 to e4 is two forward? Knight f6 to e4: f6->e4 difference -1 file, -2 rank; yes a legal knight move. So after 5.Nxe4, black could play 5...Nxe4, recapturing with the knight from f6. Let's analyze: 4...d6 5.Nxe4 (white) 5... Nxe4 (black) exchanging knights; the pawn e4 is gone; black knight f6 now on e4. Who loses? Each side: black loses a pawn; white loses a knight? Wait black knight remains. White's knight from g5 goes to e4 then gets captured by black knight. So white loses a knight for a pawn. That's good for black. But white could choose a different response: 5.Bc3? Wait.
After 4...d6 5.Nxe4 Nxe4 6.Qh5? Maybe. So d6 appears safe.
Alternatively 4... Be7: If black does Be7, what about 5.Nxe4? Knight f6 still on f6; but if white captures e4, black could capture with Nxe4 again? Wait after 4...Be7, e4 pawn still defended? Knight f6 not def. Knight c6 not. So 5.Nxe4 would capture pawn and check? Actually e4 not defended, but white might continue Nxf6? Not.
But 4...Be7 seems to protect f8? Actually bishop e7 defends f8 square? Well.
But what about 4... Nxe4? As we saw, losing knight. Not good.
Other plausible: 4... Qe7 or 4... Ne7. 4... Ne7 would protect f5? Let's analyze: 4...Ne7 moves knight f5 to e7. That potentially covers f5 and d6? Also protects g8. But white's threat is Nxe4; after Ne7, if white plays Nxe4? Knight g5 could capture e4; black knight e7 cannot recapture because it's on e7. But black could recapture with Nxe4? Knight f6? Wait f6 knight remains at f6. If 4...Ne7 is played, we still have knight on f6. So if white plays Nxe4, black could respond Nxe4 from f6. So similar to 4...d6, but maybe doesn't allow Bxf7? Let's check.
After 4...Ne7 5.Nxe4 Nxe4 6.Qh5?? something.
But is 4...Ne7 a good reply to 4.Ng5? It defends f5? Actually e7 uses same knight f6 to e7, leaving f6 open.
But after 4...Ne7, black still has e5 pawn. Let's analyze interactions with bishop c4 and threat Bf7+.
Will Bxf7+ work if black plays ...Ne7? Let's test: 4...Ne7 5.Bxf7+? Check: bishop c4 goes to f7, capturing pawn. The knight on e7 does not defend f7. But black could respond with Kd8? Let's see after Bxf7+, board: king e8, bishop f8, queen d8, knight c6, knight e7, rook h8. After Bxf7+, check. What can black do? King e8 cannot capture on f7 due to knight g5. Knight e7 cannot capture f5? Actually knight e7 can capture f5 maybe but not f7. Bishop? bishop f8 could capture on g7 but not f7. So maybe black can move the king to e7 or f8? Wait king e8 to e7? Square e7 occupied by black knight. So cannot. King e8 to e7 impossible. King e8 to d7? d7 empty. Is d7 attacked? Let's see: White bishop c4 attacks d5 e6 f7 g8. King's square d7 not attacked by bishop since path c4-d5 e6 f7. Not. Knight g5 attacks e4 f7 h7. Not d7. Queen d1? Not. So king can move to d7. But after move Bxf7+, the check is along diagonal; the king could move to d7. But is d7 defended? After king to d7, can white capture something? Let's analyze if white could play Nxe5 threatening? Not.
But after 4...Ne7, if White plays Bxf7+, then black could respond 5...Kd7 and still keep material. So Bxf7+ not winning.
But 4... Ne7 might defend f5? Might be standard. But choose best.
What about 4... Qe7: queen d8->e7, defends f8... Not relevant.
Looking at all legal moves list: Rb8, Qe7, Ke7, Be7, Bd6, Bc5, Bb4, Ba3, Rg8, a6, a5, b6, b5, d6, d5, g6, h6, h5, Nb8, Ne7, Nd4, Nb4, Na5, Ng8, Nh5, Ng4, Nxe4, Nd5
Let's analyze which could defend against Bxf7+. Which moves block bishop c4 to f7? Possibly Nd3 or Nc5? Wait if black plays Bc5, bishop from f8 to c5, covering f1 a? Wait Bc5 would block the diagonal from c4 to f7? Let's check: bishop c4 to f7 path: c4-d5-e6-f7. If black plays Bc5 (bishop from f8 to c5), does it block? No, Bc5 does not block diagonal. But could capture something else.
Moves that directly defend f7: Qe8? Not. Knight f9? Not.
Better: 4... Qf6: Actually not.
But maybe the best is 4... d6. Since it directly defends e5, not e4, but still leads to counterattack and is common due to Nxe4 risk.
But let's evaluate after 4...d6 5.Nxe4? Is that forced? Let's check White's potential: After 4...d6, white could play 5.Nxe4 (winning pawn). Could also play Bxf7+. Which is stronger? Let's analyze.
**Option 4...d6 5.Bxf7+ Kd7 6.Nxe5**: maybe leads to winning a piece again? Let's analyze.
After 4...d6 5.Bxf7+ Kd7: board:
Pieces: black: king d7, queen d8, rooks a8 h8, bishops c8 f8, knights c6 f6, pawns: a7 b7 c7 d6 e5 f7 captured? Wait f7 captured removed. g7 h7. White: bishop f7, queen d1, rooks a1 h1, knights g5 b1, pawns: a2 b2 c2 d2 e4? e4 maybe? Actually e4 pawn remains? Wait Bxf7+ captured f7 pawn, so e4 pawn still on e4. Knight g5 still on g5. Bishop: one bishop on f7, other on c1 etc.
Now after 5...Kd7 6. Nxe5: knight g4? Wait from g5 to e4? Actually Nxe5: knight g4? Let's compute: Knight g5 to e4? Actually can't capture e5 because the knight from g5 moves to e4 or h7, f7, e6. None capture e5. But the knight from b1 could capture d2? Wait. So 6.Nxe5 maybe from g4? Not.
Actually after 5...Kd7, white could play Nxe5 depending on knight position: Which knight can capture e5? White knight g4? Not. But g5 knight cannot capture e5. But white could play 6.Nxe5 from g4? Actually a knight from f3 would capture e5 but we have no n on f3; the h5? Wait.
Better: after 5...Kd7, maybe white can play Nxe4? Let's see: Nxe4 from g5: still possible (again). But this might exchange knights maybe.
But we must compute: after 4...d6 5.Bxf7+ Kd7 6.Nxe5? Wait which knight can capture e5? Knight g4? Not.
Wait maybe after 5...Kd7, white could play Nxe4, then Nxe4?? Let's analyze the line:
4...d6 5.Bxf7+ Kd7 6.Nxe4? Knight g5 captures e4 (pawn). Now board: white knight on e4. Black king d7. Black knight f6 still. Good. Black could play Nxe4? Knight f6 to e4 capturing. That would make pawns again. After 6...Nxe4 7.Qe2? etc. So still not big.
Thus 4...d6 seems fine.
But what about 4... Qe7: if white plays Nxe4, black can reply Qxe4?? Wait queen d8 to e7? Actually white could play Nxe4 after 4...Qe7. Let's analyze: 4...Qe7 5.Nxe4!??? The knight e4 would be captured by Qxe4. So that seems good: black recaptures with queen. After 5...Qxe4, black has queen on e4. But is that good? Let's analyze further.
After 4...Qe7 5.Nxe4 Qxe4 6.Bxf8+? Wait white could capture ??? Actually after 5...Qxe4, the pawn on e4 is gone. White could then play Bxf8+ Qxf8 7.Qh5+ Kxh7? Wait this needs deeper. Let's evaluate.
Open lines: After 4...Qe7, white moves 5.Nxe4! winning the pawn but queen can recapture: 5...Qxe4. Then what? White might play Bxf8+? Wait bishop on f8? Actually black bishop on f8 has captured? Wait black bishop on f8 still. White bishop on c4 can go to f7 capturing f7 pawn? But after 5...Qxe4, can white capture on f7? Let's examine white's next best: Bxf7+ maybe to trade. After 4...Qe7 5.Nxe4 Qxe4 6.Bxf7+? The bishop on c4 to f7 would capture f7 pawn again. Now queen on e4 not interfering. After Bxf7+ Kxf7? Actually cannot due to knight g5. The queen e4 might cover f5? But we need to analyze potential.
But maybe 4...Qe7 allows black to defend both e4 and f7: queen on e7 defends f7? Actually queen e7 attacks f7? It attacks f7 along file e7-f7: yes. So after 4...Qe7, Bxf7+ would capture the pawn f7, but Qxe4 still recapturing; but Bxf7+ would be a potential tactic but maybe black can respond with Qxf7? Let's analyze: 4...Qe7 5.Bxf7+ Qxf7? Wait queen e7 cannot capture f7; queen e7 to f7 is horizontal one step: queen from e7 to f7 is a flag: queen moves like rook horizontally, no blocking. But on f7 there is a bishop. So queen could capture: after 5.Bxf7+ Qxf7, does that take the bishop? Let's see: queen on e7 goes to f7: the path passes through f7? It's adjacent, no blocking. So queen can capture the bishop on f7. So 5.Bxf7+ Qxf7 6.Nxe5? Wait after Bxf7+ Qxf7, black has queen on f7 and knight on f6 still; white has bishop removed. Then what? Unfortunately that changes position.
But perhaps 4...Qe7 doesn't allow white's bishop to take f7 because queen can capture it.
But is Qe7 legal after 4.Ng5? yes.
So we need to evaluate the best; maybe 4... Qe7 is a good way to defend f8? Wait no.
Goal: Resist white's attack on f7. But white's threats are Nxe4 and Bxf7+. Let's examine each candidate move.
**1. 4...Qe7** defends f7 via queen e7 to f7 and covers e4? Actually queen on e7 defends e4? No.
But after 4...Qe7, what if white plays 5.Nxe4? Knight g5 to e4 capturing pawn with check maybe? Let's analyze: After 4...Qe7 5.Nxe4 (check?) Knight g5 to e4 is a knight move. It attacks f6, g5, f2, d3, c5? Not. It does not give check. It's a normal capture. So black can recapture with Qxe4: queen e7 to e4 capturing the knight. That leaves black with queen on e4, pawn e5 and others unchanged. After that, white may play Bxf8+? Wait may try to attack king: Bxf8+ from c5?? Wait white bishop on c4 can still play Bxf7+? Let's examine: After 4...Qe7 5.Nxe4 Qxe4 6.Bxf7+? White bishop c4 to f7 capturing the pawn f7 with check. Now queen e4 could capture bishop on f7? Let's check: queen e4 to f5? Not. So Bxf7+ is check; black's response? King e8 cannot capture due to knight? Actually white's knight g5 already moved to e4 and got captured. So knight g5 not there. So after 4...Qe7 5.Nxe4 Qxe4, the white knight g5 is gone. So after 6.Bxf7+, the king e8 is not in check by the knight. So Kxf7 possible? Let's see: after Bxf7+, bishop from c4 to f7, king e8 is attacked along diagonal? Actually bishop on f7 attacks e8. So if king captures Bxf7+, Kxf7? The king moves from e8 to f7, capturing the bishop. Is f7 square protected? Let's see: After 4...Qe7 5.Nxe4 Qxe4, black pieces: king e8, queen e4, bishop c8 f8, knights c6 f6, rooks a8 h8, pawns a7 b7 c7 d7 e5 g7 h7. White pieces: king e1, queen d1, rooks a1 h1, bishops c1 f7? Wait we just moved bishop from c4->f7, capturing pawn f7; bishop now on f7. Knight g5 already captured, so only white's other knight on b1. Pawns: a2 b2 c2 d2 e4 gone, f2 g2 h2. After 6.Bxf7+, if king captures: 6...Kxf7, what do we have? Pos: king f7, queen e4, knights f6 c6, bishop c8 f8. f7 square attacked by what? Knight f6 attacks e4 g4 h5 h7 d7 e8 etc. It's not attacking f7. Bishop c6? none. Rook? None. Pawn e5 attacks f4 and d4. So Kxf7 would be legal. Then what? White might play 7.Qh5+? Let's analyze: After 6...Kxf7, black king on f7, white queen e1? Wait queen d1 along file d? Actually maybe Qh5+ would check. But black can counter.
Thus Bxf7+ is not winning even after Nxe4.
Thus 4...Qe7 might be fine, but still leaves Bxf7+ as tactic but black can capture Bxf7+ with ...Kxf7? Wait after 5.Nxe4 Qxe4 6.Bxf7+ Kxf7? Wait we just looked at that. So Bxf7+ not winning.
But after 4...Qe7 5.Nxe4 Qxe4 6.Bxf7+ Kxf7 7.Qh5+? We need to examine this line for black's safety.
But maybe easier to choose 4...d6 because it's more standard. But we need to be certain it's best.
Let's evaluate black's evaluation with engine? But we cannot. Let's analyze logically.
Option 1: 4... d6? We saw it's logical.
Option 2: 4... Qe7. Rare but possible. Let's check: after 4...Qe7 5.Nxe4 Qxe4 6.Bxf7+ exf? Wait 6...exf? Actually black pawn e5 could capture on f4? Not. Let's analyze: 6.Bxf7+ Kxf7 7.Nxb8 maybe? Wait after Kxf7, black king f7. Then white bishop c1? Not.
But maybe the line 4... Qe7 5.Nxe4 Qxe4 6.Bxf7+ Kxf7 7.Nxb8? Actually white's knight on b1 could capture b8? Not.
Better focus: 4... Qe7 is a sound move? Let's check other responses.
What about 4... Rb8?? This defends deduction? Not.
Let's evaluate each candidate more concretely:
- 4...d6 (defends e5, leaves no immediate threat). After Nxe4, black can Nxe4. After Bxf7+, we saw black can play Kd7. End result? Likely equal material.
- 4...Qe7 (defends f7 indirectly, also sets up Qxe4). After Bxf7+, black can capture with Qxf7 or Kxf7? Let's analyze: After 4...Qe7 5.Bxf7+? Actually check: Bxf7+ from c4 capturing pawn f7. After this, if Black plays Qxf7? Wait queen e7 to f7 capturing. That eliminates the threat. Then we have queen on f7. The knight g5 remains. But is Kf8? Actually the knight g5 might be attacked? Knight g5 attacks f7? yes. So after Qxf7, can the Knight g5 capture? Knight g5 to f7 capturing queen? Knight g5 to f7 is L shape: file -1, rank +2? g5 to f7: -1,+2 yes! So after Bxf7+ Qxf7, black queen on f7 might be captured by Kxf7? Wait Knight cannot capture queen on f7? Actually knight g5 can indeed capture f7. That would be the queen! So Qxf7 would lose the queen to Nxf7. So black cannot play Qxf7. So Bxf7+ is a tactic. What about Kxf7? King e8 to f7 capturing bishop; but is that legal after Qe7? Knight g5 still attacks f7, causing check; but after Kxf7, is square f7 under attack? Knight g5 attacks f7; that would give check to king on f7. So Kxf7 illegal. So after 4...Qe7, Bxf7+ is a discovered attack: if black captures? Wait what about 5.Bxf7+ Qxf7? is impossible. Actually after 5.Bxf7+, black can respond 5...Qxf7?? Knight g5? Let's examine: Knight g5 attacks f7. So queen on e7 cannot capture f7 because queen on e7 would be pinned by knight g5? Wait queen e7 to f7 is adjacent; that would place queen on f7. Then knight g5 would attack f7; if black moves queen to f7, that would be capturing the bishop on f7. But then knight g5 capture queen: Nxf7+? Wait Knight g5 to f7 is a legal capture. So that would be lost for black. So Bxf7+ not good for black if queen on e7? But black can play 5...Kd7 maybe? But 5...Kd7 after Bxf7+? Let's see: after 4...Qe7 5.Bxf7+ Qxf7?? no. 5...Kd7? Wait it's check: bishop on f7 delivering check. The king can move to d7. That's legal. So after 4...Qe7 5.Bxf7+ Kd7. Then we evaluate. After that, black's queens still on e7. White's bishop removed. Knight g5 remains. Now what does White's threat 6.Nxe4 do? Knight g5 to e4 capturing pawn e4. After 6...Nxe4? Wait black knight f6 still on f6. That would recapture. Then board after 6...Nxe4: white knight g5 removed. So material: black regained pawn, trade knights. So overall equal. So black holds.
Thus 4...Qe7 may be slightly better defensive, but not significantly.
But what about 4... Nd4? Knight f5? Wait knight c6 can go to d4. Let's analyze: 4...Nd4 would attack e2, f3, e6, c2, b3, b5, c6, f5. It would attack e2 - a pawn. But would also attack Nxe4? Let's check: After 4...Nd4, white could play 5.Nxe4 Nxe4? Wait Nxe4 from g5? Knight g5 to e4 capturing pawn, hitting d6 if captured? But black can respond with Nxe4 from d6? Wait knight d4 cannot capture e2? Wait.
We should evaluate: after 4...Nd4, white may still capture e4: 5.Nxe4? Knight g5 to e4 capturing pawn. Then black cannot recapture because knight d4? Actually knight d4 can't capture e2? Wait knights move: d4 to e2 or f3 or f5 or e6 or c6 or b5 or b3 or c2. So cannot go to e4. So after 5.Nxe4, black can't capture e4 with that knight. But black could capture with Nxe4 from f6. So same as before. So 4...Nd4 doesn't help.
What about 4...Bf5 maybe? But bishop recently at f8.
Also 4...h6 attacking g5? Knight on g5 would respond? But h6 is used to kick? Actually 4...h6 would attack g5. White could capture h6?? Wait g5 Knight attacks h7 and f7. After h6, the knight g5 cannot capture h7 because knight g5 to h7 is L: +1 file +2 rank; g5 to h7 reachable, yes. But after h6, Pokemon piece not capturing. White might respond 5.Nh3? Something. But maybe h6 insufficient.
Let's analyze the most direct defense to f7: 4... Nf6?? We already have Knight on f6. We could play 4... Nf6?? Actually that's current position. So we need to defend e4 or f7. The most immediate threat after 4.Ng5 is Nxe4, which can be cast back with Nxe4. However as we determined, after 4...d6 Nxe4 Nxe4, it's fine for black: we trade knights and win a pawn? Wait let's re-evaluate: 4...d6 5.Nxe4 Nxe4 6.Qh5? etc. Actually black retains? Let's compute. Starting: before move, material equal. After 4...d6, at 5.Nxe4, black recaptures with Nxe4 from f6 to e4. After these exchanges, material: black pawn e4 is gone, but black pawn e4 was white's pawn. After Nxe4, black knight moved to e4. Then did something else? White's knight originally at g5 is gone. So we lost a knight for a pawn. That leaves black down 3 points. But black still has a material deficiency. But maybe black can then play 6.Qh5+? Let's analyze the position after 4...d6 5.Nxe4 Nxe4 6.Qh5+. After 6.Qh5+, is black in trouble? Let's analyze.
Board after 5...Nxe4: pieces: black king e8, queen d8, rooks a8 h8, bishops c8 f8, knights c6 e4, pawns: a7 b7 c7 d6 e5 g7 h7, f7. White: king e1, queen d1, rooks a1 h1, bishops c1 and maybe c4? Wait bishop c4 captured by Nxe4? Actually after Nxe4, the knight f6 captured pawn e4, but bishop c4 remains. White pieces still: bishop c4, bishop c1, knight b1, pawns a2 b2 c2 d2 f2 g2 h2. So material: black still has both knights though one moved to e4. White has one knight. So black is up a knight? Wait White has a knight on b1, still one knight; black has knights on c6 and e4, two knights. But earlier we also counted white had black's pawn e4 captured. So material: black has 2 knights, white has 1 knight. So black up a knight. But white lost a pawn e4. So net black up 3 points. Let's check: initial equal 39 each. After 5...Nxe4, black pawns: lost e4 (white pawn) now gone. White pawns: still 7? Wait white pawns: a2 b2 c2 d2 e4? captured. So white has 7 pawns? Actually originally white had 8 pawns; after e4 captured it's 7. So white's material less by 1. Black has also lost no piece, so difference +5? Wait not.
But black also still has his own pawns. So black is up a knight and a pawn. That seems strong. However, after 5...Nxe4, we need to see if white can do something else like 6.Qh5+? Let's analyze.
After 5...Nxe4, position after black's reply. White to move (since black just moved). We'll analyze 6.Qh5+. White queen from d1 to h5 is along diagonal d1-e2-f3-g4-h5; squares e2, f3, g4 empty? e2 empty, f3 empty, g4 empty. So queen can move to h5 delivering check to king e8 along diagonal? Queen h5 attacks e8? diagonal h5-g6-f7-e8 indeed: g6 empty? Actually g6 empty. f7 pawn present. So queen h5 doesn't check king because pawn at f7 blocks. So Qh5+ is not a check. I mis-saw. So 6.Qh5 is not check.
Maybe 6.Qh5+ after 5...Nxe4? Let's compute: after 5...Nxe4, queen d1 to h5 would be along diagonal crossing e2, f3, g4, h5. No block; It's a normal move but not check. So white can play Qh5, maybe threatening? The idea to trap the knight e4? Knight e4 might come to f6? Let's analyze: after 6.Qh5, maybe black will reply ...Nf6? Wait Knight e4 could go to g5, f2, c3, d2, c5, d6 f6 g3. Could threaten f2? Actually.
But is 6.Qh5 a good idea for white? They could try to attack. Let's evaluate.
But overall 4...d6 seems very promising: we trade knights for a pawn, and we relieve black. Actually black does better: black has two knights vs one, and a pawn advantage. Wait let's check: After 4...d6 5.Nxe4 Nxe4, we have black knights on c6 and e4, white knight on b1. Material: black ratio: 2 knights vs 1. Is black indeed ahead? But white's pawn e4 gone. However, black hasn't lost any piece. So black up a knight for a pawn. That's +3 <=. So black is better.
Therefore 4...d6 is a strong defense. And after Bxf7+, black can respond Kd7 or Qf8? Wait but after 4...d6 5.Bxf7+ Kd7 6.Nxe5? Should evaluate.
But we must double-check: After 4...d6 5.Bxf7+ Kd7, can white do 6.Nxe5? Knight g4? Wait white no knights besides b1. Knight b1 cannot capture e5. Bishop (c1) cannot. So Nxe5 can't. Bad.
Let's compute again: 4...d6 5.Bxf7+ Kd7. After this, white could play 6.Nxd6? Wait Knight b1 to d2? Actually Nxd6 from f5? not. So Bxf7+ not great.
Thus 4...d6 is good.
However, is there even better? 4... Qe7 seems also fine. But which is stronger? Let's evaluate deeper.
Suppose black plays 4...Qe7. After that, white might play 5.Nxe4 (winning a pawn) but black replies 5...Qxe4, regaining pawn. That leaves position: black queen e4, rooks a8 h8, king e8, bishops c8 f8, knights c6 f6, rooks? Actually rooks same. White: queen d1 (unchanged), bishops c1, knight b1, rooks a1 h1, king e1. All pawns: a2 b2 c2 d2 f2 g2 h2. (e4 pawn captured). Then black could play maybe 6.Qe2? Actually my guess: after 5...Qxe4, black has captured the pawn and queen e4. Material: black queen on e4, knights c6 f6, pawns e5 presence, etc. White lost a pawn and knight (g5). So black up pawn + knight? Wait we lost same as earlier? Let's compute: White lost pawn e4 and knight g5, but black lost none. So material difference: plus pawn + knight. That's +5. But black would have to consider his knight f6 still active; white's attack on f7 remains because knight g5 is gone. So black better.
Hence 4...Qe7 seems best because black regains the pawn and keeps both knights, giving big advantage.
But does black lose a piece? Wait 4...Qe7 5.Nxe4 Qxe4. Knight f5? Wait Qxe4 from e7, capturing knight g5?? Wait we choose Qxe4 capturing the knight on e4? Wait mistake: After 5.Nxe4 Qxe4, queen from e7 goes to e4 capturing the knight on e4? Wait earlier we said knight g5 to e4 captured pawn e4. But then queen e7 to e4 captures the knight? Wait we mis-placed: after 5.Nxe4, the knight from g5 moved to e4, capturing a pawn. So the knight stands on e4. So black can recapture with Qxe4 capturing the knight. So black loses his queen? Wait no queen remains on e4. Knight g5 removed. So that's good.
Hence after 4...Qe7 5.Nxe4 Qxe4, white lost a pawn and a knight. So black up both.
Thus 4...Qe7 is indeed very good, making the game strong. White's attack becomes less threatening. Also black retains both knights.
Thus 4...Qe7 may be the best move.
But let's double-check if there is any counterattack by white after 4...Qe7 5.Nxe4 Qxe4? White could then play 6.Bc3? Might attack queen e4? But no.
After 4...Qe7, alternative white move not 5.Nxe4 might be 5.Bxf7+? Let's analyze: 5.Bxf7+ because queen e7 defends f7? Wait queen e7 to f7 is one step horizontal; but that would block? But we already saw that if bishop moves to f7, queen e7 can't capture because the knight g5 would capture. So Bxf7+ might still work? Let's analyze:
4...Qe7 5.Bxf7+ Kxf7? Knight g5 attacks f7. So Kxf7 illegal. ... Kd7? After 5.Bxf7+ Kd7. Then black might later play Bxf2? Not.
Let's analyze: After 4...Qe7 5.Bxf7+ Kd7 6.Nxe5? Knight b1 cannot. But white could play 6.Qh5+ maybe. But might still be okay.
However 5.Nxe4 seems forced? Not forced; but might be best. So 4...Qe7 is top.
But what about 4... Rd6? not.
Another candidate: 4... b6 maybe? to stop Bxf7+? Actually bishop c4 to f7 would still be possible. But b6 doesn't directly defend f7. So not.
Thus 4... Qe7 appears to be best and maybe commonly known as a safe move because it protects f7 indirectly by queen e7? Actually it primarily defends the e4 pawn from Nxe4 by giving queen capture path Qxe4. Let's double-check: after 4... Qe7, is e4 defended? But Qe7 doesn't defend e4 directly; but if Nxe4 happens, queen on e7 can recapture because the other knight remains. So white cannot play Nxe4 for good.
Also 4... Qe7 defends f7 indirectly because queen on e7 covers f6? Not. But if Bxf7+, after 5...Kd7, black not losing anything.
Hence 4...Qe7 is better.
But what about 4... Qe7 5.Nxe4 Qxe4 6.C? Wait Bxf7+ maybe arises after 5.Nxe4? No because the bishop on c4 is still there. After 5...Qxe4, Bxf7+ would again be a tactic? Let's analyze: 4...Qe7 5.Nxe4 Qxe4 6.Bxf7+? But is e4 still there? Actually queen moved to e4, capturing on e4. So e4 square now has queen. Wait queen on e4, but bishop c4 still at c4. After 5...Qxe4, we still have bishop c4 controlling f7 path: c4-d5-e6-f7. The queen on e4 not interfering. So 6.Bxf7+ is still possible. Let's evaluate: after 6.Bxf7+, black's king e8 cannot capture due to knight g5? Wait knight g5 has gone because captured. So after 5...Qxe4, knight g5 is gone. So Bxf7+ would be possible: Bxf7+ Kxf7? Let's see: After 6.Bxf7+, king e8 to f7 capturing bishop, legal now because no knight g5. After capture, black king f7, queen e4. White queen d1, rooks a1 h1, bishop c1, knight b1. So black lost only queen? Wait queen e4 still there, safe. So Bxf7+ may still cost a pawn? Wait no losing a bishop. So black might end up down a bishop? Let's analyze: After 4...Qe7 5.Nxe4 Qxe4 6.Bxf7+ Kxf7 results: black lost bishop from c4. So black material difference: lost a bishop but gained earlier? Actually we need to compute final material: after sequence: Starting equal. After 5.Nxe4 Qxe4, black has queen e4, knights c6 f6, bishops c8 f8, rooks a8 h8, pawns a7 b7 c7 d7 e5 g7 h7; white: queen d1, rooks a1 h1, bishops c1 f1? Actually bishop c4 still there; bishop c1; knight b1; pawns a2 b2 c2 d2 f2 g2 h2. After 6.Bxf7+, white bishop from c4 to f7 captures pawn. So now white has bishop f7. Then king capture: Kxf7 leads to: black king f7. Material: black: queen e4, knights c6 f6, bishop c8 f8 (two bishops), rooks a8 h8, pawns a7 b7 c7 d7 e5 g7 h7. White: queen d1, rooks a1 h1, bishop f7? Actually bishop f7 captured by king? Wait 6...Kxf7 would capture the bishop on f7. So white loses bishop. So after 6...Kxf7, material: white lost bishop from c4; black lost pawn f7. So net result: black up. Let's compute: Starting equal, after 5.Nxe4 Qxe4, black remained equal. After 6.Bxf7+ Kxf7, black lost pawn f7, white lost bishop. So black net +3. Thus 4...Qe7 ultimately leads to black up a piece and a pawn. Good.
Similarly after 4...d6, we also have black up a knight and pawn. But which gives better? d6: after Nxe4 Nxe4, black up a knight and pawn. After Qe7, black up a knight and pawn as well? Actually after Qe7 5.Nxe4 Qxe4 6.Bxf7+ Kxf7, black up 3 but also lost bishop? Wait earlier we computed that after 6...Kxf7 black loses pawn f7 but gains? Actually black had bishop c8 f8. After this line, black retains both bishops, but loses the pawn f7. White loses bishop. Net: black has both bishops, plus a knight advantage + a pawn? Wait compute: After 5.Nxe4 Qxe4, black has queen e4, knights c6 f6, bishops c8 f8. White has queen d1, bishop c1, bishop c4, knight b1. So material equal. After 6.Bxf7+ Kxf7, black king f7, and white bishop captured; black pawn f7 gone. So final material: black has queen e4, bishops c8 f8, knights c6 f6. White has queen d1, bishop c1, knight b1. So black has 2 bishops and 2 knights versus white 1 bishop 1 knight: black up a minor piece (3 points). And lost a pawn f7? But simultaneously lost nothing: black still has 8 pawns except f7 gone. White lost a bishop but black lost pawn. Evaluate material values: black pieces: queen + 2 bishops + 2 knights + 7 pawns? Wait black has 7 pawns: a7,b7,c7,d7,e5,g7,h7 (lost f7). White has 7 pawns? Wait white has a2,b2,c2,d2,f2,g2,h2: 7 pawns. So black has queen + 2b +2n vs white queen+1b+1n. That's +5 for black, plus -1 pawn for black compared to white? Let's compute approximate value: black: Q=9, 2B=6, 2N=6, 7P=7 => 28. White: Q=9, B=3, N=3, 7P=7 => 22. So black up 6. So black the advantage nice.
But with 4...d6 earlier we had black up a knight and pawn, that's +3 vs white: but let's calculate: After 4...d6 5.Nxe4 Nxe4 6.Qb... black had queen d8? Wait queen remains d8. It might be less advantage maybe.
Thus 4...Qe7 likely more forcing and better. However, we should check: After 4...Qe7 5.Nxe4, maybe there is a more precise line: Instead of Qxe4, could black play 5...Nxe4? Wait black's knight f6 could capture e4! Actually after 4...Qe7 5.Nxe4, black could also recapture with Nxe4 instead of Qxe4. But Nxe4 might be better? Let's evaluate: 4...Qe7 5.Nxe4 Nxe4. After this, queen still on d8. Material: Black knights on e4 plus c6. White knight gone. But black loses a knight? Wait no. Let's compute: After 4...Qe7 5.Nxe4 Nxe4, the knight f6 goes to e4 capturing the knight from g5. So black knight from f6 now e4. We still defend white pawn e4 gone. So black still up a knight? Actually white lost knight g5; black up knight vs pawn? Wait black STILL retains 2 knights? Actually after move, black knights: c6 and e4. White knights: b1 only. So black up 3. Also black doesn't lose queen. So that's maybe even better. But would black's king remain at e8? Yes. We must check if any tactic like Bxf7+ gains after this? After 4...Qe7 5.Nxe4 Nxe4, black queen d8 still there. White bishop c4 could go to f7: Bxf7+ again. Let's analyze: After 5...Nxe4, black position: king e8, queen d8, rooks a8 h8, bishops c8 f8, knights c6 e4. White: king e1, queen d1, rooks a1 h1, bishops c1 c4, knight b1, pawns a2,b2,c2,d2,f2,g2,h2. Then white can play Bxf7+. Evaluate: Bxf7+ from c4 capturing on f7. After Bxf7+, black could reply Kxf7? Is that legal? Knight at e4 attacks f6? No. Knight g5 not present. So Kxf7 is legal. Then black king f7. After 5...Nxe4, bishop c4 remains. After Bxf7+ Kxf7, board: black king f7. Now black's queen still at d8. So black lost bishop c4. But still has 7 pawns, 2 bishops c8 f8 active? Wait bishop f8 still. So net: black now has queen d8, knights c6 e4, bishops c8 f8 (both), rooks a8 h8. White lost bishop c4. So white left with bishops c1 only, knight b1. So black up a minor (bishop) piece. That is similar advantage as with Qxe4 line. So either recapture method yields same or more advantage.
Thus after 4...Qe7 5.Nxe4 Nxe4, black up a knight and maybe 3? Let's compute still.
But 4...Qe7 also responds to Bxf7+? After 5.Bxf7+, black could play Kxf7? Knight g5 no. So not.
Wait I realize that after 4...Qe7 5.Bxf7+ Kxf7? Actually after 5.Bxf7+, can black kF7? Let's examine: Knight g5 no longer; that's after 4...Qe7, actual board: white pieces: Knight g5. After 5.Bxf7+, Knight g5 still there. The bishop from c4 to f7 is a capture. Knight g5 attacks f7, giving check. So Kxf7 is illegal. So 5.Bxf7+ is still not possible because black's king cannot capture due to knight. Are there other black replies to Bxf7+? Options: ...Qxf7? Queen e7 is adjacent to f7, but moving queen to f7 would leave queen on f7 where knight g5 could capture. So illegal. ...Kd7? i.e., king e8 to d7. After Bxf7+, the check is from bishop, which attacks e8 along diagonal. King's capture must respond: Kd7. That is legal if d7 is not defended and not in check. After ...Kd7, then black might have some counterplay. So 4...Qe7 5.Bxf7+ Kd7 6.Nxe5? But no. So 4...Qe7 doesn't allow Bxf7+ to capture bishop.
Thus 4...Qe7 seems best.
But we need to confirm that after 5.Bxf7+ Kd7 6.Nxe5? Actually white could do 6.Qh5??? Perhaps.
Alright.
Thus I conclude: 4...Qe7 is the best reply to 4.Ng5, protecting f7 indirectly and let's be aware of counter.
Let's check if other moves better: 4... Nxe4 is already bad. 4...Nd3? not. 4... Qe7 seems best. Another possibility: 4... c6?? may be okay. But Qe7 more targeted. Let's check if 4... Qe7 is maybe losing because white can play 5.Nxe4? Wait we looked at recapture Qxe4 or Nxe4. But what if white continues Bxf7+ after 5.Nxe4? Let's analyze: 4...Qe7 5.Nxe4 Nxe4? Wait after 5.Nxe4, white's bishop still at c4, knight g5 moved to e4, capturing pawn. Black replies Nxe4 from f6 capturing the knight. Now the bishop on c4 is still there. After that, can white play Bxf7+? Let's analyze: after 5...Nxe4, board: king e8, queen d8, rooks a8 h8, bishops c8 f8, knights c6 e4, pawns a7 b7 c7 d7 e5 g7 h7. White: king e1, queen d1, rooks a1 h1, bishops c1 c4, knight b1, pawns a2 b2 c2 d2 f2 g2 h2. The bishop c4 still there. Can white play Bxf7+? If yes, it's 6.Bxf7+. Knight g5 no longer there. Queen d8 must defend? After 6.Bxf7+, black could answer Kxf7? Let's analyze: after Bxf7+, king e8 to f7 capturing bishop, is that legal? The bishop f7 moved from c4. After capture, any white piece attacks f7? No. So Kxf7 legal. After 6...Kxf7, now black king f7. After that, what? White could play Nxe4? Knight b1 to e3? Not. Might have a tactic with 7.Qh5? Or 7.Qf3? Might be fine.
But note after 5...Nxe4, black still suffers a material advantage: lost a knight+pawn? Wait check: black lost a knight? No. After Nxe4, we had black queen d8, etc. But we lost a knight? Actually we didn't trade any piece. But after Nxe4 (black knight captured the white knight on e4). So black didn't lose a piece. So black material: queen d8, bishops, knights c6 e4, rooks, 7 pawns. White: queen d1, bishops c1 c4, knight b1, rooks, 7 pawns. So black up knight vs pawn? Wait black gained a knight (captured white knight) but lost no pawn. But we had earlier that pawn e4 captured. So black is up a knight, 3 points. But also we had lost original pawn e4. So black up 3. So after 5...Nxe4, black up 3 points; also black still has queen d8, bishop f8, etc. So black even better.
Thus 4...Qe7 leads to a strong advantage. Is there any better? Maybe 4... Nxe4? Not. 4... Nf6? Wait we already have Knight f6 there. But we could play 4... Nxe4? Not.
Also consider 4... a6? Not.
So we choose 4...Qe7.
But first confirm that 4... Qe7 is legal: yes queen from d8 to e7. That is one step diagonally down-right (since black moves downwards from black side). Looks legal if no piece on e7. e7 is empty. So yes.
Thus we answer: move 4...Qe7.
Also we must comment a short quip: e.g., "Nice try, but watch for my queen's cookie".
Let's finalize.