๐ Table of Contents
- Why Openings Matter in Gomoku
- The Center Opening (Tengen)
- Direct vs. Indirect Openings
- The 26 Standard Renju Openings
- Popular Opening Sequences for Beginners
- The Swap2 Protocol and How It Affects Openings
- Common Opening Mistakes to Avoid
- How to Study and Practice Openings
- Opening Resources and Further Reading
1. Why Openings Matter in Gomoku
In Gomoku โ also known as Five in a Row, ไบ็ฎไธฆใน (Gomoku Narabe), ์ค๋ชฉ (Omok), and ไบๅญๆฃ (Wuziqi) โ the opening phase is arguably the most critical stage of the entire game. Unlike chess, where positional imbalances may simmer for dozens of moves before decisive action, a Gomoku game can be effectively won or lost in the first five to seven stones. Every stone placed during the opening radiates influence across the 15ร15 board, establishing lines of potential attack and defense that will shape the entire middle game.
The reason openings carry such weight in Gomoku is rooted in the game's mathematical nature. Under freestyle rules (no restrictions), Black โ the player who moves first โ has a proven forced win from the very first move. Victor Allis demonstrated this in 1994, showing that perfect play by Black always leads to victory on a standard 15ร15 board. This means that every opening position carries an inherent advantage or disadvantage, and knowing the theory behind those first moves can mean the difference between fighting from a position of strength or scrambling to survive.
For practical players, the implications are profound. If you are Black, a strong opening lets you seize initiative immediately, building multi-directional threats that compound with every move. If you are White, understanding opening theory helps you find the responses that neutralize Black's advantage and steer the game toward positions where you can fight back. Even if you never memorize every variation, grasping the principles behind good opening play will elevate your game far beyond that of opponents who simply play by instinct.
Opening theory in Gomoku is extensive. In the competitive Renju variant, the first three moves are classified into 26 named openings, each with hundreds of studied variations. Professional players spend years mastering these openings, much as chess grandmasters study the Sicilian Defense or the Queen's Gambit. But unlike chess, where openings can last 15โ20 moves, Gomoku openings are compressed โ the critical decisions happen in just the first three to five stones, making each stone placement enormously consequential.
Whether you are a casual player looking to improve your win rate or an aspiring competitive player preparing for tournament play, this guide will walk you through everything you need to know about Gomoku openings. We'll start with the foundational center opening, explore the distinction between direct and indirect openings, catalog all 26 standard Renju openings, and discuss how modern protocols like Swap2 reshape opening strategy. If you're new to the game entirely, consider reading our complete Gomoku rules guide first for the foundational basics.
2. The Center Opening (Tengen)
The center intersection of a 15ร15 Gomoku board โ labeled H8 โ is called Tengen (ๅคฉๅ ) in Japanese, meaning "origin of heaven." It is, without question, the single most important point on the board, and virtually every serious game of Gomoku begins with Black placing a stone here. Understanding why the center is so dominant is fundamental to all opening theory.
Why the Center Dominates
A stone at Tengen (H8) radiates influence equally in all four directions: horizontal, vertical, and both diagonals. From H8, a line can potentially extend seven intersections in any direction before reaching the board's edge. This means that a center stone participates in the maximum possible number of potential five-in-a-row lines โ up to 20 distinct lines pass through the center point.
Compare this to a stone on the edge of the board โ say, A8. That stone can only develop leftward along one axis and has severely restricted diagonal lines. An edge stone participates in as few as 5โ6 potential lines, compared to the center's 20. The geometric advantage of center play is not subtle โ it is approximately three to four times more flexible than edge play.
This is why Tengen is considered the "default" first move in Gomoku. In casual play, stepping away from the center as Black is almost always a mistake. In tournament play under Renju rules, Black is required to place the first stone at Tengen. Even in freestyle Gomoku, voluntarily giving up the center is akin to allowing your opponent a free extra move.
White's Response to Tengen
When Black opens at the center, White has a critical decision to make: how close to play relative to Black's stone. The most common and strongest responses place White's stone adjacent or diagonally adjacent to Black's Tengen stone. In Renju, White's second stone must be placed within a defined zone relative to Black's first move.
The general principle is: stay close. If White plays far from the center, they concede the entire central zone to Black and will spend the rest of the game fighting from the periphery. By playing close to Black, White immediately contests the center and begins building their own lines in the most valuable territory on the board.
Historical Significance of Tengen
The importance of the center opening has been recognized for centuries. In Japan, where Gomoku evolved into the professional game of Renju in the early 20th century, the Tengen opening was so obviously dominant that rules were eventually created to limit Black's advantage โ including the requirement that Black must open at the center, and that White's response defines which of the 26 named openings the game follows. The entire classification system of Renju openings revolves around Black's Tengen stone as the fixed starting point.
3. Direct vs. Indirect Openings
After Black plays at Tengen and White responds, Black's third stone โ the third move of the game โ determines whether the opening is classified as direct or indirect. This classification is the most fundamental division in Gomoku opening theory and has enormous implications for how the game unfolds.
Direct Openings (็ดๆฅ้ๅฑ)
A direct opening occurs when Black's third stone is placed adjacent to one of the first two stones โ typically within one intersection. Direct openings are characterized by early contact between the players' stones, leading to immediate tactical confrontation. The stones are clustered tightly, and forced sequences (threats and counter-threats) tend to begin very early in the game.
Direct openings are generally considered more aggressive and sharper. They offer Black greater opportunities for early forcing moves, but also give White clearer targets for defensive responses. In direct openings, both players need strong tactical calculation skills from the very first moves.
- Tight stone clusters โ the first three stones are very close together
- Early contact โ Black's third stone is adjacent to Black's first or White's second
- Tactical intensity โ forced sequences begin within the first 5โ7 moves
- Higher theoretical complexity โ many variations have been deeply analyzed
- Generally favor Black โ most direct openings give Black a strong initiative
Indirect Openings (้ๆฅ้ๅฑ)
An indirect opening occurs when Black's third stone is placed farther away from the existing stones โ typically two or more intersections from either of the first two stones. Indirect openings create a more dispersed stone formation, leading to a slower-developing, more strategic game.
In indirect openings, the tactical fireworks are delayed. Both players have more room to maneuver, and the game tends to feature longer build-up phases before the first forced sequences appear. Indirect openings can be more forgiving for less experienced players because there are fewer immediate threats to calculate, but at the highest level they require deep positional understanding.
- Dispersed stone placement โ the first three stones are spread out
- No early contact โ Black's third stone is distant from the first two
- Positional play โ development and spatial control matter more than early tactics
- Flexibility โ more possible plans for both players in the middle game
- Often more balanced โ many indirect openings give White better counter-chances
4. The 26 Standard Renju Openings
In professional Renju โ the competitive variant of Gomoku played primarily in Japan, Russia, China, and Estonia โ the first three moves of the game are classified into a system of 26 named openings. This classification system was formalized by the Renju International Federation (RIF) and serves as the backbone of professional Gomoku/Renju theory.
The system works as follows: Black's first stone is always at Tengen (H8). White's second stone is placed adjacent to Black's stone (in one of 8 positions), and Black's third stone determines the specific named opening. Due to the board's symmetry, many positions that look different are actually rotations or reflections of the same opening, which reduces the total number of unique openings to 26.
These 26 openings are split evenly: 13 direct openings and 13 indirect openings. Each opening has a Japanese name, often poetic in nature, reflecting the traditional culture of Renju play. Let's examine them in detail.
4.1 Direct Openings (13 Openings)
In direct openings, Black's third stone is placed adjacent to the first two stones, creating tight, tactical formations. The 13 direct openings are grouped below with their Japanese names, romanized names, and English translations where applicable.
| # | Name (Japanese) | Romanization | Translation | Assessment |
|---|---|---|---|---|
| 1 | ๅฏๆ | Kansei | Cold Star | Balanced โ strong for both sides |
| 2 | ๆธๆ | Keigetsu | Valley Moon | Slightly favors Black |
| 3 | ็ๆ | Sosei | Sparse Star | Well-balanced, popular in tournaments |
| 4 | ่ฑๆ | Kagetsu | Flower Moon | Strongly favors Black โ most aggressive |
| 5 | ๆฎๆ | Zangetsu | Crescent Moon | Favors Black moderately |
| 6 | ้จๆ | Ugetsu | Rain Moon | Complex, sharp tactical play |
| 7 | ้ๆ | Kinsei | Venus / Gold Star | Balanced, rich in variations |
| 8 | ๆพๆ | Shogetsu | Pine Moon | Slightly favors Black |
| 9 | ไธๆ | Kyugetsu | Hill Moon | Balanced with deep theory |
| 10 | ๆฐๆ | Shingetsu | New Moon | Slightly favors White โ rare in practice |
| 11 | ็ๆ | Zuisei | Auspicious Star | Well-studied, balanced play |
| 12 | ๅฑฑๆ | Sangetsu | Mountain Moon | Favors Black, complex middle game |
| 13 | ้ๆ | Yusei | Wandering Star | Balanced, flexible development |
Spotlight: Kagetsu (่ฑๆ โ Flower Moon)
The Kagetsu opening is one of the most aggressive and most studied direct openings in Renju. It features a diagonal formation where Black's third stone creates an immediate line of two connected black stones on the diagonal, with White's stone nearby. This configuration gives Black rapid access to diagonal threats and is considered one of the strongest openings for Black.
Professional databases contain thousands of analyzed Kagetsu variations. Because Black's advantage is so pronounced, many tournament rule sets require specific balancing measures when Kagetsu is chosen. Under Taraguchi-10 rules, the fifth-move player must propose candidate positions, and under Soosyrv-8, the Kagetsu is often avoided because White has difficulty finding adequate responses.
Spotlight: Kansei (ๅฏๆ โ Cold Star)
The Kansei opening produces a more balanced game than Kagetsu. Black's third stone is placed so that the three stones form a diagonal line, but the spacing is such that White has effective counter-positions. Kansei is beloved by professional players who prefer strategic depth over raw aggression, and it remains one of the most commonly played openings in international Renju tournaments.
4.2 Indirect Openings (13 Openings)
In indirect openings, Black's third stone is placed at a distance from the first two stones. These openings generally lead to slower, more positional games with a wider variety of possible middle-game structures.
| # | Name (Japanese) | Romanization | Translation | Assessment |
|---|---|---|---|---|
| 14 | ้ทๆ | Chosei | Long Star | Balanced, positional play |
| 15 | ๅณกๆ | Kyogetsu | Gorge Moon | Slightly favors White |
| 16 | ๆๆ | Kousei | Fixed Star | Slightly favors White, rare choice |
| 17 | ๆฐดๆ | Suigetsu | Water Moon | Complex, balanced positions |
| 18 | ๆตๆ | Ryusei | Meteor / Shooting Star | Dynamic, favors active play |
| 19 | ้ฒๆ | Ungetsu | Cloud Moon | Balanced, moderate complexity |
| 20 | ๆตฆๆ | Uragetsu | Inlet Moon | Favors White in most lines |
| 21 | ๅตๆ | Rangetsu | Storm Moon | Sharp, imbalanced positions |
| 22 | ้ๆ | Gingetsu | Silver Moon | Balanced, solid for both sides |
| 23 | ๆๆ | Myousei | Bright Star | Slightly favors Black |
| 24 | ๆๆ | Shagetsu | Slanting Moon | Balanced, positional depth |
| 25 | ๅๆ | Meigetsu | Famous Moon | Balanced, popular choice |
| 26 | ๅฝๆ | Suisei | Comet | Dynamic, complex middle games |
Spotlight: Chosei (้ทๆ โ Long Star)
Chosei is the most popular indirect opening and a favorite of players who prefer strategic, long-range planning over immediate tactical clashes. In Chosei, Black's third stone is placed several intersections away from the first two stones, creating two separate "influence zones" that Black can develop independently. White must decide whether to focus on one zone or try to contain both โ a dilemma that leads to rich strategic battles.
Spotlight: Ryusei (ๆตๆ โ Meteor)
Ryusei, named "Meteor" or "Shooting Star," is one of the most dynamic indirect openings. It creates asymmetric positions where both players have active opportunities but in different directions. Ryusei games tend to produce exciting, unpredictable middle games with attacks and counter-attacks flowing across the board. It is a favorite of aggressive players who enjoy indirect openings but still want sharp play.
5. Popular Opening Sequences for Beginners
If you're new to Gomoku opening theory, the 26 named openings can feel overwhelming. The good news is that you don't need to memorize variations to play strong openings โ you just need to follow a few key principles and learn a handful of reliable sequences. Here are the most practical opening approaches for beginners and intermediate players.
The Central Diagonal Opening
This is the simplest effective opening for Black. Place your first stone at the center (H8), then after White responds, place your third stone diagonally adjacent to your first stone, on the opposite side from White. This creates a connected diagonal pair of black stones with room to extend in both directions.
This is essentially the Kagetsu pattern, and it gives Black immediate diagonal threats. After White's fourth move, Black should continue developing in the diagonal direction while also looking for opportunities to branch out horizontally or vertically. The key is to maintain multiple lines of development โ never put all your stones on a single line.
The Cross Pattern
Another beginner-friendly approach is the cross (or plus-sign) pattern. After opening at center and receiving White's response, Black plays their third stone one or two squares away on a different axis than the first two stones. This creates two separate lines radiating from the center, giving Black maximum flexibility.
With stones at H8 and H10, Black has a vertical line developing, plus future potential on the diagonals from both stones. White's stone at I8 only interferes with one of Black's many possible lines. This opening leads to a slower, more strategic game โ ideal for beginners who find tactical calculations stressful.
The Triangle Formation
A slightly more advanced beginner opening is the triangle formation. Black places their third stone so that the three stones (two Black, one White) form a triangle on the board. This gives Black stones that cover multiple directions without being on the same line.
This configuration gives Black connected stones on the vertical axis (H8โH9) while also putting pressure on White's stone at I8. From here, Black can develop diagonally (toward G10 or I10) or continue vertically (toward H10). The triangle is a direct opening pattern that leads to active tactical play.
Recommended First Five Moves
For a reliable all-purpose opening as Black, follow these principles for your first five stones:
- Move 1: Center (H8) โ always. No exceptions.
- Move 3: Close to your first stone, on a diagonal or the opposite axis from White's stone. Create two potential lines.
- Move 5: Strengthen your weaker line or create a third line of development. Avoid extending the same line past three stones unless it creates a forcing threat.
For White (moves 2 and 4):
- Move 2: Adjacent to Black's center stone. Diagonal placement (e.g., I9 or G7) is versatile; horizontal/vertical placement (e.g., I8 or H9) is more direct.
- Move 4: If Black has a strong line developing, block it. If no immediate threat exists, develop your own line on a different axis than Black's strongest stones.
6. The Swap2 Protocol and How It Affects Openings
One of the most significant developments in competitive Gomoku is the Swap2 opening protocol (also called "Swap2 rule" or simply "S2"). Swap2 was designed to address the fundamental problem of Black's first-move advantage by introducing a meta-game layer to the opening that forces balance.
How Swap2 Works
The Swap2 protocol unfolds in three stages before normal play begins:
- Stage 1 โ Tentative opening: The first player places three stones on the board โ two Black and one White โ in any configuration they choose. These three stones represent a tentative opening position.
- Stage 2 โ The choice: The second player examines the three-stone position and makes one of three choices:
- (a) Accept Black: Play as Black (the side with two stones) and continue the game.
- (b) Accept White: Play as White (the side with one stone) and continue the game.
- (c) Place two more stones (one Black, one White) and pass the color choice back to the first player.
- Stage 3 (if option c): The first player now examines the five-stone position and chooses to play as either Black or White. The game then continues normally.
How Swap2 Changes Opening Strategy
Under Swap2, the entire mindset of opening preparation shifts:
- No "winning openings": In freestyle Gomoku without Swap2, experienced Black players can essentially memorize forced-win opening lines. With Swap2, proposing such a line means your opponent will take Black and execute the forced win against you. The strongest openings under Swap2 are the most balanced ones.
- Asymmetric positions are key: Skilled Swap2 players propose positions that are difficult to evaluate โ positions where both sides have chances but the assessment is unclear. This is dramatically different from traditional opening theory, which focuses on maximizing Black's advantage.
- Edge openings become viable: In traditional Gomoku, off-center openings are weak for Black. But under Swap2, proposing an off-center opening that slightly favors White can be a clever strategy โ your opponent must decide whether White's advantage is big enough to claim, or whether there are hidden complexities they might miss.
- Opening preparation goes deeper: Rather than memorizing "the best opening for Black," Swap2 players must prepare a portfolio of balanced positions and understand both sides of each one. This makes opening preparation more intellectually demanding but also more rewarding.
Swap2 in Practice
Swap2 is now the standard opening protocol for most international Gomoku competitions, including events organized by the Gomoku World Championship series. It is also increasingly used in online Gomoku servers. If you plan to play competitive Gomoku, learning to think in terms of Swap2 โ proposing balanced openings, evaluating whether to accept Black or White, and understanding the strategic options at each decision point โ is essential.
Many of the 26 traditional Renju openings remain relevant under Swap2, but their assessment changes. Kagetsu (Flower Moon), for example, is so strong for Black under traditional rules that proposing it in Swap2 almost guarantees your opponent takes Black. Kansei (Cold Star) and many of the indirect openings, by contrast, are closer to balanced and can be excellent Swap2 proposals.
7. Common Opening Mistakes to Avoid
Even players who understand basic opening principles frequently make errors that undermine their position in the first few moves. Here are the most common opening mistakes โ avoid these, and you will immediately outperform the majority of casual opponents.
Mistake 1: Playing Away from the Center
This is the single most common opening mistake in casual Gomoku. New players often place their first stone in a corner, along an edge, or in a random location far from the center. Every intersection you move away from H8, you lose potential lines of development. A stone at the center participates in about 20 potential five-in-a-row lines; a stone in the corner participates in as few as 3. Opening away from the center is like voluntarily giving your opponent a multi-stone head start.
Mistake 2: Extending a Single Line Too Far
After establishing a promising opening formation, beginners often keep adding stones to the same line โ building a three-in-a-row, then a four-in-a-row โ without considering whether the line is actually achievable. If your opponent blocks one end, that beautiful line of four stones is worthless. Strong players develop multiple lines simultaneously, creating the conditions for a double threat (fork) rather than telegraphing their intentions along a single axis.
Mistake 3: Responding Too Far from the Opponent
As White, playing your response stone far away from Black's center opening is almost always a mistake. You are essentially saying "I don't care about the center โ you can have it." In Gomoku, conceding the center to your opponent is a massive positional disadvantage. Stay close. Respond within 1โ2 intersections of your opponent's stones in the opening phase.
Mistake 4: Ignoring the Opponent's Formation
Some players become so focused on their own opening plan that they ignore what their opponent is doing. In Gomoku, the opponent's stones are just as important as your own โ they define the threats you must address and the weaknesses you can exploit. After every move, scan the board for your opponent's developing lines. A missed open three in the opening can lead to an unstoppable open four on the very next move.
Mistake 5: Symmetric Play
Beginners sometimes adopt a mirroring strategy โ placing every stone symmetrically opposite to their opponent. While this might seem safe, it actually concedes all initiative to the opponent. Symmetric play guarantees you will never create a double threat (since your opponent's moves always have corresponding responses), and a skilled opponent can exploit the predictability to build a decisive asymmetric advantage.
Mistake 6: Overthinking the Opening
Ironically, some advanced beginners fall into the trap of spending too much mental energy on memorized opening variations without understanding the principles behind them. If you memorize the first 10 moves of a Kagetsu variation but don't understand why each move is played, you will be lost as soon as your opponent deviates from the studied line. Focus on understanding principles first โ center control, multi-directional development, maintaining initiative โ and let specific memorization come later.
8. How to Study and Practice Openings
Improving your opening play is one of the most efficient ways to boost your overall Gomoku performance. Here is a structured approach to studying and practicing openings, whether you are a beginner just learning the basics or an intermediate player preparing for competitive play.
Step 1: Master the Principles First
Before diving into specific opening databases and named variations, make sure you have a solid grasp of the foundational principles covered in this article and in our Gomoku strategy guide:
- Always open at or near the center
- Develop multiple lines of attack from the first few stones
- Keep your stones connected but not crowded
- Maintain the initiative (sente) through forcing moves
- Balance offense and defense โ don't develop blindly
If you can apply these principles consistently, you will have strong openings even without memorizing any named variations. Principles are the foundation; specific knowledge builds on top.
Step 2: Study Game Records
One of the most effective study methods is to replay professional Gomoku and Renju game records, paying special attention to the first 5โ10 moves. Notice which openings are chosen, how the responding player adapts, and how the opening formation influences the middle game. Many game databases are available online through the Renju International Federation (RIF) and various Gomoku communities.
When studying a game record, ask yourself these questions for each of the first five moves:
- Why was this specific intersection chosen over adjacent alternatives?
- What lines of development does this stone create or strengthen?
- What opponent threats does this stone address?
- How does this stone contribute to a future double-threat opportunity?
Step 3: Build an Opening Repertoire
Choose 2โ3 openings that suit your style and study them in depth. For each opening, learn:
- The main line (the most common response sequence for both sides)
- 2โ3 key variations (branches where one player makes a different choice)
- The typical middle-game structures that arise from each variation
- Known pitfalls and traps for both sides
A focused repertoire of three well-understood openings is far more valuable than superficial knowledge of all 26. As you gain experience, you can gradually expand your repertoire to cover more openings and respond to a wider range of opponents.
Step 4: Practice with Focused Games
The most important step in opening study is practice. Play games where you deliberately use specific openings, then review the opening phase afterward. Did your opening give you a good position? Where did you start to lose the initiative? What could you have done differently?
Play Gomoku online against real opponents to test your opening knowledge in live conditions. Online play exposes you to a wide variety of opponent styles and responses, which is essential for developing adaptable opening play. Aim to play at least 5โ10 focused games with each new opening before judging whether it suits your style.
Step 5: Use Analysis Tools
Several software tools exist for analyzing Gomoku positions, and they can be invaluable for opening study. These programs can calculate forcing sequences from any position, showing you whether a particular opening leads to a forced win, a forced loss, or a genuinely balanced game. Popular analysis tools include Yixin, Piskvork (with Yixin engine), and various online Gomoku AI platforms.
When using analysis tools, set up the first 3โ5 stones of an opening you want to study, then explore the engine's recommended moves for both sides. Pay attention to positions where the engine's recommendation differs from what you would have played โ these gaps between your instinct and the engine's calculation are your biggest learning opportunities.
9. Opening Resources and Further Reading
Gomoku and Renju opening theory is a deep field with resources spanning decades of competitive play. Here are the most valuable resources for players looking to deepen their opening knowledge:
Books and Written Resources
- "Renju Explained" by Ando Meritee โ An excellent English-language introduction to Renju, including detailed coverage of the 26 standard openings with diagrams and annotated variations. This is the best starting point for English-speaking players.
- RIF Opening Theory Database โ The Renju International Federation maintains an extensive database of analyzed opening positions. While primarily in Japanese and Russian, the move sequences and diagrams are universally readable.
- Chinese Gomoku Theory (ไบๅญๆฃๆ็จ) โ Several Chinese-language textbooks provide deep analysis of freestyle Gomoku openings, with particular focus on the openings that remain strong under various rule sets.
Online Resources
- RenjuNet (renjunet.com) โ The online portal of the Renju International Federation, with tournament game databases, opening classifications, and news from the competitive Renju world.
- Gomoku Community Forums โ Various online communities discuss openings, share analysis, and debate theory. These are excellent places to ask questions and learn from experienced players.
- YouTube and Twitch โ Several strong Gomoku players stream their games and discuss their opening choices in real time. Watching high-level players explain their thought process during the opening is one of the fastest ways to improve your understanding.
Software Tools
- Yixin โ Widely regarded as one of the strongest Gomoku AI engines. Use it to analyze opening positions and discover optimal moves. Yixin's evaluation of opening positions is reliable enough to serve as the basis for serious opening study.
- Piskvork โ A Gomoku/Renju game manager that supports multiple AI engines. Excellent for playing through opening variations and testing different lines against engine opposition.
- Renju Solver (various implementations) โ Specialized software for determining whether a given Renju position is a forced win, draw, or loss. Essential for verifying the soundness of opening lines under Renju forbidden-move rules.
Internal Resources
Our own articles provide additional context for many of the concepts discussed in this opening guide:
- Complete Gomoku Rules Guide โ Understand all rule variations, including Renju forbidden moves and tournament protocols that affect opening play.
- Gomoku Strategy Guide โ Deep dive into mid-game strategy, tactical patterns, and winning techniques that build on your opening knowledge.
- How to Play Gomoku โ If you're brand new, start here for the fundamentals before tackling opening theory.
- Play Gomoku Online โ The best way to practice everything you've learned. Challenge real opponents for free, no download required.
"The opening is the foundation upon which the entire game is built. A player who understands openings deeply will always have better positions, clearer plans, and more opportunities to create the decisive double threats that win games. Invest in your opening knowledge โ the returns are immediate and lasting."
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