Chapter Summaries

Key Plot Points and Events

• Yu Shao watches An Hongseok's game against Zhao Junze, impressed by An Hongseok's skill and his urge to play against him.
• All matches conclude, and the players are divided into winners' and losers' brackets. Su Yiming and Yu Shao are in the winners' bracket, while Zhu Huai'an is in the losers' bracket.
• Yu Shao has dinner with Zheng Qin, who expresses his confidence in Yu Shao's chances of winning the tournament.

Character Developments

• Yu Shao realizes that his past life's experiences subtly influence his playing style, leading to fewer blunders.
• Zheng Qin shows support for Yu Shao and expresses his excitement for Yu Shao's potential victories in the tournament.

Significant Themes

• The influence of past experiences on present actions and decisions.
• The importance of confidence and determination in competition.

Character Interactions

• Yu Shao and Zheng Qin discuss their views on the tournament, with Zheng Qin expressing his admiration for Yu Shao's skills and confidence.
• Yu Shao and Zheng Qin share a meal, leading to a conversation about the tournament and Yu Shao's playing style.

Key Plot Points and Events

• The draw ceremony for the second round of the World Go Championship takes place.
• Yu Shao draws against Ed, the European Chess King and Master.
• Su Yiming draws against Araki No, causing excitement among the audience.
• Yu Shao's game against Ed begins, with both players playing aggressively and tenaciously.

Character Developments

• Yu Shao demonstrates his strategic prowess and adaptability in his game against Ed.
• Ed proves to be a formidable opponent, playing with great force and momentum.
• Su Yiming's upcoming game against Araki No generates anticipation and intrigue.

Significant Themes

• The importance of adaptability and strategic thinking in competitive Go.
• The excitement and anticipation surrounding high-stakes matches.
• The role of initiative and momentum in Go strategy.

Character Interactions

• Yu Shao and Ed engage in a tense and competitive game, each pushing the other to their limits.
• The audience eagerly anticipates the match between Su Yiming and Araki No.
• The young man who hadn't watched the previous day's matches is intrigued by the hype surrounding Araki No's game against Higashiyama Kaoru.

Key Plot Points and Events

• Ed plays a Hane on the fifteenth file, ninth rank, aiming to counter-attack Black's weak right wing and setting a trap for later.
• Yu Shao responds with a Cut on the seventeenth file, thirteenth rank, waiting for White's invasion and planning to fight to the death.
• Ed invades Black's formation with a Charge on the twelfth file, ninth rank, disregarding its own weaknesses and aiming to escape through a Life and Death Struggle.
• Ed resigns after a long thinking period, and Yu Shao wins by an intermediate move.
• Yu Shao observes Su Yiming and Araki No's game, noting the unusual opening and Su Yiming's aggressive play.
• Su Yiming plays a charge and cut on the sixteenth column, eleventh row, demanding a decisive battle.
• Araki No responds with a jump on the fifteenth column, fourteenth row, escaping outwards to make eyes and live.
• Su Yiming stretches on the fourteenth column, twelfth row, planning to catch Araki No's stones in a trap.

Character Developments

• Ed shows tenacity and resilience, refusing to give up despite the board tilting against him.
• Yu Shao underestimates Ed initially but takes the game seriously as it becomes unexpectedly difficult.
• Su Yiming plays aggressively in the opening, aiming to contest the center and blockade White.
• Araki No faces a precarious life-or-death situation and responds with a move to escape outwards.

Significant Themes

• Tenacity and resilience in the face of adversity (Ed)
• Underestimation and taking opponents seriously (Yu Shao)
• Aggressive play and strategic vision (Su Yiming)
• Life-and-death struggles and escaping precarious situations (Araki No)

Character Interactions

• Ed and Yu Shao's intense game, with Ed refusing to give up and Yu Shao taking the game seriously.
• Su Yiming and Araki No's tense game, with Su Yiming playing aggressively and Araki No responding to life-and-death situations.
• Yu Shao observing Su Yiming and Araki No's game, analyzing their moves and the overall situation.

Key Plot Points and Events

• The Go game between Su Yiming (Black) and Araki No (White) intensifies.
• Black plays a 'Stretch' move, followed by a 'Tiger', aiming to put White in a difficult position.
• White responds with a 'Block', then a 'Cut', sacrificing stones to save the isolated ones.
• Black continues to attack, but White manages to live with all stones, surprising the audience.
• Black plays a 'Jump' move, indicating an aggressive approach despite White's successful defense.

Character Developments

• Su Yiming (Black) shows strategic thinking and adaptability, changing his approach when White's response differs from his expectations.
• Araki No (White) demonstrates strong defensive skills and innovative thinking, finding a way to save his stones by sacrificing others.

Significant Themes

• Adaptability: Both players adjust their strategies based on the opponent's moves, showing flexibility and quick thinking.
• Sacrifice: White's decision to sacrifice stones to save others highlights the importance of strategic giving-up for future gains.
• Aggression vs. Defense: The game shifts between offensive and defensive strategies, with each player trying to gain the upper hand.

Character Interactions

• The intense Go game between Su Yiming and Araki No captivates the audience, both in-person and online, sparking discussions and debates about their moves.
• Yu Shao, the commentator, analyzes the game, expressing surprise and admiration for the players' moves and strategies.

Key Plot Points and Events

• Su Yiming (Black) starts the game aggressively, jumping into White's territory.
• Araki No (White) responds calmly, defending and countering Black's moves.
• Black's stones appear strong but are weak within, and White's counterattack seems imminent.
• Black finds unexpected sente moves, sustaining the attack longer than anticipated.
• White finds an opportunity to counterattack, but Black places a 'press' move, surprising everyone.
• Black's center stones, previously thin, suddenly show strength, trapping White's invasion.
• Black's true intention is revealed: the initial aggressive moves were a feint to reinforce Black's center.
• Black launches a real, devastating attack on White's large dragon.

Character Developments

• Su Yiming: Proves his genius by sustaining an aggressive attack with unexpected sente moves and a hidden strategy.
• Araki No: Maintains composure and finds opportunities to counterattack, but is ultimately outplayed by Su Yiming.

Significant Themes

• Genius and unexpected strategies: Su Yiming's play defies conventional wisdom and expectations.
• Feints and deception: Black's initial aggressive moves were a feint to reinforce the center, setting up a real attack later.
• Momentum and initiative: Black's sustained attack keeps White on the defensive, while White's counterattack is delayed.

Character Interactions

• Su Yiming vs. Araki No: The two players engage in a complex game of strategy and counter-strategy, with Su Yiming ultimately outplaying Araki No.
• Spectators and professionals: Both the live audience and professional Go players are astonished by Su Yiming's play, struggling to understand and predict his moves.

Plot Points and Events

• Araki No is struggling to find a way out of his seemingly lost position against Su Yiming.
• He tries various strategies, but each one leads to White's demise.
• Su Yiming reinforces his center and attacks White's stones relentlessly.
• White's large dragon in the bottom-left corner is surrounded and on the verge of being killed.
• Black captures White's large dragon, but Araki No plays a Contact Play, hinting at a possible conversion.
• Su Yiming connects his stones, forming pressure on White and countering the conversion possibility.
• Araki No counter-bites a key black stone, surprising Su Yiming and the audience.
• White and Black continue to place stones, with White aiming to use its demise to force Black's stones to live.

Character Developments

• Araki No shows remarkable tenacity and strategic thinking, even in a losing position.
• Su Yiming maintains a calm and focused demeanor, adapting to White's unexpected moves.
• Yu Shao reassesses Araki No's skills and realizes the complexity of White's strategy.

Significant Themes

• The theme of resilience and finding ways to turn a seemingly hopeless situation around is emphasized through Araki No's persistent efforts.
• The interconnectedness of the game of Go is highlighted, as White's demise can still impact Black's stones.

Character Interactions

• The intense mental battle between Araki No and Su Yiming is the focus of the chapter, with each player adapting to the other's moves and trying to gain an advantage.
• Yu Shao's insights into the game provide a different perspective on the players' strategies and the overall situation.

Key Plot Points and Events

• The game between Su Yiming and Araki No intensifies, with both players making strategic and aggressive moves.
• Su Yiming decides to abandon a key stone and shift his strategy to focus on influence and vital points.
• The game enters the endgame, decided by a narrow margin.

Character Developments

• Su Yiming demonstrates exceptional strategic flexibility and resilience, even when faced with disadvantageous situations.
• Araki No shows remarkable adaptability and determination, adjusting his strategy to counter Su Yiming's moves.

Significant Themes

• The theme of resilience and adaptability is prominent, as both players face challenging situations and respond with innovative strategies.
• The game's intensity and the players' skill levels push the boundaries of what is considered possible in Go.

Character Interactions

• The interaction between Su Yiming and Araki No is tense and respectful, with each player acknowledging the other's skill and adjusting their strategies accordingly.
• The global Go community watches the game in awe, with many expressing disbelief at the players' moves and the game's outcome.

Key Plot Points and Events

• Su Yiming and Araki No's game ends in a close victory for Araki No by 1.5 points.
• The game is hailed as a masterpiece by Go enthusiasts worldwide due to its complexity and brilliance.
• The Phoenix Cup continues with the remaining matches, and the top 64 players are announced.

Character Developments

• Su Yiming experiences a rare defeat and struggles to accept it, but ultimately acknowledges his loss.
• Araki No, after a decade of absence, showcases exceptional skill and returns to the Go world with a bang.
• Yu Shao is impressed by the game and looks forward to potentially facing Araki No in the future.

Significant Themes

• The pursuit of excellence and the acceptance of defeat.
• The evolution of Go skills and strategies over time.
• The global appeal and unity of Go enthusiasts despite national borders.

Character Interactions

• Su Yiming and Araki No engage in a tense and respectful post-game moment, acknowledging each other's skill.
• Yu Shao watches the game with admiration and anticipation for future matches.
• Zhao Zhengyang, the tournament organizer, is impressed by the quality of the games and the players' skill.

Key Plot Points and Events

• The results of the first round are announced, with players advancing to the winners' and losers' brackets.
• Su Yiming and Yu Shao have a conversation outside the venue, discussing their past games and Su Yiming's determination to improve and win.
• The second round of the Phoenix Cup concludes with several intense and memorable matches.

Character Developments

• Su Yiming accepts his loss to Araki No but remains determined to improve and win, expressing gratitude for having strong opponents.
• Yu Shao reflects on his past experiences with Go AI and feels inspired by Su Yiming's courage and determination.
• Araki No's return to the Go world garners significant attention and admiration for his skills.

Significant Themes

• The pursuit of excellence and growth as a Go player, even in the face of defeat.
• The importance of having strong opponents to challenge and improve one's skills.
• The intense competition and drama in the Phoenix Cup tournament.

Character Interactions

• Su Yiming and Yu Shao discuss their past games and Su Yiming's determination to win, with Yu Shao expressing his confidence in Su Yiming's potential.
• The conversation between Su Yiming and Yu Shao highlights their mutual respect and shared passion for Go.
• The intense matches in the Phoenix Cup showcase the skill and determination of the participating players.

Summary

Key Plot Points and Events

• The Phoenix Cup World Tournament continues, with only sixteen players left in the winner's bracket and thirty-two in the loser's bracket.
• Yu Shao draws Andre as his opponent in the third round.
• Zhuang Weisheng and An Hongseok face off against each other, causing excitement among the audience.
• Su Yiming's opponent in the loser's bracket is Higashiyama Kaoru.
• Araki No's opponent is Shin Ji-woong.

Character Developments

• Yu Shao remains calm and confident despite facing a strong opponent in Andre.
• An Hongseok acknowledges the strength of the Chinese and Japanese Go scenes and expresses concern about Korea's future in the Go world.
• Zhuang Weisheng reflects on the changes in his own playing style and the fighting spirit of older Go players.
• Araki No's intense determination to win is noted by An Hongseok.

Significant Themes

• The theme of age and experience vs. youth and determination is explored through the matches and conversations between An Hongseok and Zhuang Weisheng, as well as Araki No's performance.
• The international competition and rivalry in the Go world are highlighted, with each country's strengths and challenges discussed.

Character Interactions

• Yu Shao and Andre exchange words before their match, with Andre expressing his admiration for Yu Shao's skills but his intention to win.
• An Hongseok and Zhuang Weisheng discuss the current state of Go in their respective countries, acknowledging the rise of new talents and the challenges they face.
• Su Yiming and Higashiyama Kaoru prepare to face each other in the loser's bracket, with both players determined to win.

Key Plot Points and Events

• The professional Go match between Yu Shao (Black) and Andre (White) begins.
• Andre plays a surprising and unconventional 'Hane' move, shocking the audience and his opponent.
• The match continues with both players focused on their strategies.

Character Developments

• Andre reveals a unique and aggressive playing style, challenging the conventional norms of Go.
• Yu Shao, despite his initial underestimation of Andre, becomes more serious and focused as the match progresses.

Significant Themes

• The clash of traditional human Go strategies and unconventional, AI-inspired strategies.
• The exploration of the vast possibilities within the game of Go.
• The pressure and tension of high-stakes professional Go matches.

Character Interactions

• The intense focus and concentration between Yu Shao and Andre as they engage in a high-level Go match.
• The audience's shock and confusion at Andre's unconventional move, highlighting the unexpected nature of the game.
• The silent, introspective analysis of the game by both players, reflecting their deep understanding and strategic thinking.

Key Plot Points and Events

• The game between Andre and Yu Shao reaches a critical point.
• Andre plays a seemingly insignificant Hane move, which later reveals its profound influence on the entire board.
• Yu Shao responds with unconventional moves, including Press and Dig, instead of reinforcing his position.
• Andre launches an attack, but Yu Shao continues to sacrifice stones and Tenuki, seizing key points.
• The board becomes increasingly complex, with both players locked in a fierce battle.

Character Developments

• Andre: Initially confident, Andre becomes increasingly uneasy and loses his composure as the game progresses.
• Yu Shao: Yu Shao demonstrates his exceptional skills and unconventional thinking, leaving his opponents in shock.

Significant Themes

• The importance of long-term planning and foresight in Go.
• The value of unconventional thinking and strategies.
• The dynamics of attack and defense in Go.

Character Interactions

• Andre and Yu Shao: Their intense game highlights their contrasting playing styles and the tension between them.
• The onlookers: The crowd is continually surprised and shocked by Yu Shao's moves, leading to intense discussion and realization of his unconventional strategies.

Key Plot Points and Events

• Andre plays a surprising "Hane" move, balancing the board.
• Yu Shao sacrifices stones in a series of aggressive moves, gaining initiative and attacking Andre's territory.
• Andre struggles to defend, but Yu Shao's relentless pursuit leads to a decisive victory for black.

Character Developments

• Andre: Struggles to accept his crushing defeat, showing a new level of powerlessness and vulnerability.
• Yu Shao: Demonstrates exceptional intuition and skill in handling complex life and death situations, winning decisively despite Andre's initial balanced board.

Significant Themes

• The power of initiative and aggressive play in Go.
• The importance of adaptability and flexibility in handling unexpected situations.
• The psychological impact of a crushing defeat on a player.

Character Interactions

• Yu Shao and Andre: Yu Shao's relentless pursuit and Andre's inability to adapt lead to a one-sided game, highlighting the skill gap between them.
• Yu Shao and the onlookers: Yu Shao's performance leaves the onlookers bewildered and impressed, raising questions about his potential as a championship contender.
• Zhuang Weisheng and An Hongseok: Their game showcases a hidden-needle struggle, with An Hongseok's unexpected ko threat and fierce mid-game attack leading to a close game decided by half a point.

Key Plot Points and Events

• Su Yiming defeats Higashiyama Kaoru, eliminating him from the World Tournament.
• Kimura Go consoles Higashiyama Kaoru, emphasizing the long journey of Go and the importance of learning from losses.
• The top eight in the winners' bracket are announced: Honinbo Shinhye, Araki No, An Hongseok, Yu Shao, Kang Han-eun, Lee Ji-gu, Martin, and Zhao Canlie.
• Zhu Huai'an is eliminated after losing to Zheng Cui in the losers' bracket.
• Zhuang Weisheng and Honinbo Shinhye discuss their upcoming matches, with Zhuang Weisheng expressing confidence in Yu Shao's abilities.

Character Developments

• Higashiyama Kaoru learns to accept defeat and uses it as motivation to improve, thanks to Kimura Go's guidance.
• Zhuang Weisheng shows support for Yu Shao, indicating his confidence in Yu Shao's skills.

Significant Themes

• The importance of learning from losses and using them as motivation to improve.
• The long journey and continuous learning process in Go.

Character Interactions

• Kimura Go consoles Higashiyama Kaoru, helping him accept defeat and look towards the future.
• Zhuang Weisheng and Honinbo Shinhye discuss their upcoming matches, with Zhuang Weisheng expressing confidence in Yu Shao's abilities and Honinbo Shinhye hinting at his intention to send Yu Shao to the losers' bracket to face Zhuang Weisheng.

Summary

Key Plot Points and Events

• The losers' bracket matches begin, with Andre facing Su Yiming again.
• Yu Shao plays against Honinbo Shinhye in the winners' bracket, a highly anticipated match.
• Both players start with a Star-Mokuhou opening. Honinbo Shinhye defends with a Large Jump Corner Defense, a move that has been increasingly adopted by top players but lacks a clear reason for its superiority.

Character Developments

• Yu Shao maintains his legendary status and is now competing against one of the strongest players, Honinbo Shinhye.
• Andre is determined to face Su Yiming again, showing resilience and resolve.
• Honinbo Shinhye demonstrates his experience and confidence by playing a controversial but increasingly popular move.

Significant Themes

• The evolution of Go strategies and the emergence of new moves that challenge established principles.
• The psychological pressure and determination of players facing crucial matches.
• The tension and anticipation surrounding high-stakes competitions.

Character Interactions

• Yu Shao and Honinbo Shinhye engage in a silent, intense confrontation before the game begins, highlighting the anticipation and respect between them.
• Andre and Su Yiming's rematch adds tension and personal stakes to their game.
• The Go community, both in person and watching remotely, reacts to the Large Jump Corner Defense, highlighting the uncertainty and potential paradigm shift in Go strategies.

Key Plot Points and Events

• The game between Honinbo Shinhye and Yu Shao begins with a 'Small Knight's Move Approach' by both players.
• Yu Shao creates a 'Twin Flying Swallows' situation, which Honinbo Shinhye accepts.
• The game becomes intense early on, with both players engaging in close combat.
• Yu Shao plays a 'Tiger' move, signaling a strong attack.
• Honinbo Shinhye responds with a 'Connect' move, choosing to secure territory instead of engaging in a capturing race.

Character Developments

• Yu Shao demonstrates aggressive and complex playing style, aiming for a decisive victory.
• Honinbo Shinhye shows caution and a willingness to compromise, prioritizing stability over risk.

Significant Themes

• The 'Small Knight's Move Approach' gains mainstream acceptance.
• The tension between aggressive, complex play and stable, risk-averse play is explored.
• The concept of 'compromise' is introduced, with Honinbo Shinhye choosing to secure territory rather than engage in a high-risk capturing race.

Character Interactions

• Yu Shao and Honinbo Shinhye engage in a high-stakes game, with Yu Shao pushing for an early, decisive victory and Honinbo Shinhye playing defensively.
• The audience reacts with surprise and disbelief to Honinbo Shinhye's compromising move.

Key Plot Points and Events

• The game between Yu Shao and Honinbo Shinhye intensifies after Shinhye's unexpected "connect" move in the Twin Flying Swallows joseki.
• Yu Shao responds with a "stretch" move, aggressively attacking Black's influence.
• Both players play rapidly and precisely, targeting crucial points and vital areas on the board.
• Yu Shao's brilliant "blocking" move turns the tide, giving White a lead of three to four points.
• Shinhye's strategic "point" move balances the board, revealing his deep understanding of the Twin Flying Swallows joseki.
• Shinhye invades White's territory with a "stab" move, surprising everyone and provoking a fierce local fight.
• Yu Shao and Shinhye continue to place stones alternately, with Shinhye's "hane" move causing a stir.

Character Developments

• Yu Shao demonstrates his aggressive playing style and strategic prowess, initially gaining a significant lead.
• Honinbo Shinhye reveals his deep understanding of the game and his ability to adapt and innovate, challenging Yu Shao's dominance.
• Both players show their exceptional calculation abilities and precision in local judgment.

Significant Themes

• The balance between aggression and defense in Go.
• The strategic importance of understanding and leveraging the potential of formations.
• The role of innovation and adaptability in high-level Go play.

Character Interactions

• Yu Shao and Honinbo Shinhye engage in a intense and complex game, pushing each other to their limits.
• The crowd, including Kimura Go, Higashiyama Kaoru, and Zheng Qin, watch the game in awe and confusion, struggling to understand the players' strategies and moves.
• The Korea Go Association's replay room discusses and analyzes the game, marveling at the players' skill and the complexity of the board situation.

Key Plot Points and Events

• Black (Honinbo Shinhye) plays Tenuki to the center, abandoning corner and side territory, surprising everyone.
• Black's initial advantage becomes precarious, but it's revealed that Black intended to build a large territory in the center.
• Black's sacrifice stones and Hane move form a triangular large territory, putting White (Yu Shao) on the defensive.
• In another game, Black (Su Yiming) sacrifices stones to dig, forces White (Andre) into a desperate situation, and eventually wins.

Character Developments

• Lee Junhyeok, a Six Dan player, realizes the depth of Honinbo Shinhye's strategy and feels the gap in their understanding of Go.
• Li Mingcan, another Six Dan player, is shocked by Andre's strength and feels the pressure of his own lack of progress.

Significant Themes

• Sacrifice and Strategy: Both Black players (Honinbo Shinhye and Su Yiming) use strategic sacrifices to turn the tables on their opponents.
• Understanding and Skill: The difference in understanding and skill between the top players and the rest is emphasized, with the top players being considered unreachable.
• Adaptability: Both Black players demonstrate exceptional adaptability, changing their strategies mid-game to counter their opponents' moves.

Character Interactions

• The players in the review room discuss and react to the games, expressing their shock, disbelief, and admiration for the top players' strategies.
• Lee Junhyeok and Li Mingcan compare their skills to the top players, feeling the pressure and gap in their understanding of Go.

Key Plot Points and Events

• Yu Shao's innovative use of a 'contact play' technique to penetrate Black's formation, leading to a significant shift in the game.
• Honinbo Shinhye's calm and strategic play, continually finding ways to counter Yu Shao's moves and maintain a competitive position.
• The intense mid-game battle, with both players placing stones quickly and fiercely, creating intricate and complex formations on the board.
• The final capturing race, where White seems to have the upper hand but Black has a chance to live due to their accumulated strength and favorable ladder capture.

Character Developments

• Yu Shao demonstrates his innovative and aggressive playing style, pushing the boundaries of conventional Go strategies.
• Honinbo Shinhye exhibits his unparalleled skill and calm demeanor, even under immense pressure, remaining focused solely on the game.
• Commentator Yang Yuhong shows his excitement and admiration for both players, providing detailed and enthusiastic commentary on the game's developments.

Significant Themes

• Innovation vs. Tradition: Yu Shao's use of the 'contact play' technique challenges conventional Go strategies, while Honinbo Shinhye represents the mastery of traditional Go principles.
• Calm vs. Passion: Honinbo Shinhye's unruffled demeanor contrasts with the intense emotions displayed by Yu Shao and the commentators, highlighting the mental aspect of the game.
• The Complexity of Go: The intricate formations and strategic decisions in this game emphasize the depth and complexity of the game of Go.

Character Interactions

• Yu Shao and Honinbo Shinhye engage in a tense and intense mid-game battle, each player continually responding to the other's moves with strategic and innovative plays.
• Commentators, spectators, and players worldwide watch the game with bated breath, reacting to the game's developments with excitement, shock, and admiration.
• Honinbo Shinhye acknowledges Yu Shao's skill with a single word, "Amazing," highlighting the respect and admiration between the two players despite their competitive situation.

Key Plot Points and Events

• Yu Shao (National Hand) wins against Honinbo Shinhye in a thrilling Go game.
• The game featured intricate strategies, including the Small Knight's Move Defense from the Star Point, Twin Flying Swallows opening, and a unique "Hane" move by black stones.
• White stones used a "Contact Play" and "Tenuki" to counter black's strategies, ultimately leading to black's victory.
• The game concludes with viewers worldwide shocked and excited.

Character Developments

• Yu Shao: Proves his prowess by defeating Honinbo Shinhye, demonstrating strategic thinking and calm demeanor.
• Honinbo Shinhye: Accepts defeat gracefully, showing sportsmanship and composure.

Significant Themes

• The pursuit of speed and global coordination in Go, challenging traditional principles of solidity and fundamental play.
• The idea that both the invincible corner and the Small Knight's Move Defense from the Star Point can be correct, depending on personal belief.

Character Interactions

• Yu Shao and Honinbo Shinhye: Respectful and composed interaction despite the competitive nature of the game. They acknowledge each other's skills and offer guidance.