How to Play

🎯 The Goal: Shade cells so that no number appears more than once in any row or column among the unshaded cells.

📜 The Rules:

• No Duplicates: Every unshaded row and column must contain no repeated numbers.
• No Touching: Two shaded (black) cells can never touch horizontally or vertically.
• Stay Connected: All unshaded (white) cells must form a single connected region. No isolated groups allowed!

👆 The Controls:

• Click once to shade a cell (eliminate it).
• Click again to mark it with a circle (mark as known safe).
• Click a third time to clear it.

⭐ Pro-Tips for Beginners (Start Here!): Look for these easy patterns to get your first moves:

1. The Sandwich: If you see two of the same number separated by one different number (e.g., 5 - 3 - 5), the number in the middle is ALWAYS safe (mark it with a circle).
2. The Triple: If you see three of the same number in a row (e.g., 4 - 4 - 4), the middle number is ALWAYS safe, and the two outer numbers must ALWAYS be shaded!
3. The Pair: If you see two of the same number right next to each other, any other matching number in that row or column must be shaded.

🎨 The Goal: Shade the correct cells to reveal a hidden pixel image!

🔢 The Rules: A number tells you exactly how many cells must be shaded in the 3x3 block centered around that number.

👆 The Controls:

• Click once to shade a cell.
• Click again to mark it with an ✕ (known empty).
• Click a third time to clear the cell.

🚦 The Feedback:

• 🟩 Green clue: You have the exact correct amount of shaded cells around this number.
• 🔴 Red clue: You have shaded too many cells around this number!

⭐ Pro-Tip for Beginners: Always start by looking for 0s (mark all 9 cells with an ✕) and 9s (shade all 9 cells). It gives you an instant head start!

🎯 The Goal: Fill the grid so that every row and every column contains the digits 1 through N exactly once. (For example: Use 1-5 for a 5x5 grid!)

📜 The Rules:

• Some numbers may already be given on the grid at the start.
• You must obey the inequality signs (< and >) located between certain squares.
• If a cell has a > pointing to its neighbor, its value must be strictly larger than that neighbor.
• Use logic and the process of elimination to deduce the only possible number for each cell!

⭐ Pro-Tip for Beginners (Start Here!): Always start by hunting for your highest and lowest numbers (like 1 and 5)! Look at the inequality signs to logically eliminate possibilities: A cell that is "less than" another cell (<) can never be a 5. A cell that is "greater than" another (>) can never be a 1! Look for chains of signs (like A < B < C) to quickly figure out where your extreme numbers must go!

🎯 The Goal: Fill the grid with digits so that every row and every column contains exactly one of each digit. (For example: Use 1-4 for a 4x4 grid, 1-5 for a 5x5 grid).

📜 The Rules:

• Cages & Targets: The grid is divided into bold-outlined blocks called "cages". Each cage has a target number and a math operation (+, -, ×, ÷).
• Do the Math: The digits inside a cage must combine using that specific mathematical operation to equal the target result.
• Repeats Allowed: Unlike similar puzzles, numbers can repeat inside a single cage, as long as they do not appear in the same row or column!

⭐ Pro-Tip for Beginners (Start Here!): Because this game relies heavily on Sudoku logic, start by hunting for cages that only have one possible mathematical combination (like a 2-cell cage with a target of "3+" in a 4x4 grid, which must be 1 and 2). Getting these easy combinations on the board first will open up the rest of the puzzle!

🎯 The Goal: Fill the remaining spaces in the 9x9 grid so that every row, column, and smaller 3x3 square portion contains the digits 1 through 9 exactly once.

📜 The Rules:

• Some numbers are already given on the grid and cannot be changed.
• No number may appear more than once in any row, column, or 3x3 block.
• Absolutely no guesswork is required; the puzzle is solved primarily through the process of elimination.

📝 The Controls:

• Use pencil marks (notes) to keep track of possible numbers for an empty cell!

⭐ Pro-Tip for Beginners: Start by looking for the rows, columns, or 3x3 boxes that are already mostly filled with given numbers! Rely primarily on the process of elimination to figure out which of the missing digits logically fits into the remaining empty spaces.

🎯 The Goal: Combine matching numbers on the 4x4 grid to reach the elusive 2048 tile!

👆 The Controls: Swipe on mobile or use the Arrow Keys to shift all tiles in one direction.

2️⃣+2️⃣ The Merge: When two tiles with the same number touch, they merge into one tile with double the value.

⚠️ The Catch: After every swipe, a new tile (a 2 or a 4) will magically appear in an empty space on the board. If the board fills up completely and you cannot make any more merges, it is Game Over!

⭐ Pro-Tip for Beginners: Pick one corner (like the top-left) and keep your highest-value tile locked there. To easily build a structured chain around it, try to restrict your swipes to just TWO directions (like UP and LEFT) as much as possible!

🧠 The Goal: Put your mental math to the test by combining 4 numbers using basic arithmetic to equal exactly 24!

📜 The Rules:

• You must use all 4 numbers exactly once.
• You can use addition (+), subtraction (-), multiplication (*), and division (/).

👆 The Controls:

• Select two numbers and an operator to combine them into a new number. Repeat this step until your final number is 24!

⭐ Pro-Tip for Beginners (Start Here!): Don't just guess randomly! The easiest way to solve the puzzle is to work backwards. Look at your four numbers and see if you can manipulate them to create a common factor pair like 8 and 3, or 6 and 4, or 12 and 2. Once you build those two target numbers, simply multiply them together to hit 24!

🧠 The Goal: Test your "Fluid Intelligence" (Gf) by finding the hidden mathematical pattern and guessing the next number in the sequence!

📜 The Rules:

• You will see a sequence of numbers that follow a specific mathematical rule (such as +2, *3, or the famous Fibonacci sequence).
• Use your deductive logic to figure out the rule, then enter the digits of the next number!

🎨 The Feedback:

• 🟩 Green: You have the correct digit in the exact right spot.
• 🟨 Yellow: You have the correct digit, but it is in the wrong spot.
• ⬛ Gray: The digit is not in the answer at all.

⭐ Pro-Tip for Beginners (Start Here!): Don't overcomplicate it on your first glance! Always start by looking at the simple difference (addition or subtraction) between the first two numbers. If that pattern doesn't fit the third number, then test for multiplication or a Fibonacci pattern!

🧠 The Goal: Test your true mathematical comprehension by filling in the missing digits to make the equation perfectly correct!

📜 The Rules:

• You will be presented with a math puzzle containing several blank squares.
• Each blank square contains exactly one single digit (0-9).
• The completed equation must be mathematically valid and strictly follow the standard order of operations (PEMDAS/BODMAS).

👆 The Controls:

• Select any blank square, then type or tap a number to fill it in!

⭐ Pro-Tip for Beginners (Start Here!): Don't just guess randomly! Treat it like a detective puzzle by working backwards (using inverse operations). If the end of your equation is ... + [ ] = 15 and you can calculate that the first part of the equation equals 10, simply do 15 - 10 to deduce that the blank MUST be a 5! Always solve the parts of the equation you can see first to reveal the parts you can't!

🎯 The Goal: Guess the hidden math calculation in just 6 tries!

📜 The Rules:

• Each guess must be a mathematically valid calculation (e.g., 12+3=15).
• You can use numbers (0-9) and operators (+, -, *, /).
• Every guess must contain exactly one "=" sign, and there can only be a single number to the right of the equals sign.
• Standard order of operations (PEMDAS/BODMAS) applies. Always calculate * and / before + and -!
• Watch out: Numbers and operators can repeat multiple times in the hidden equation!

🎨 The Feedback:

• 🟩 Green: Correct number/operator in the exact right spot.
• 🟨 Yellow: In the equation, but in the wrong spot.
• ⬛ Gray: Not in the equation at all.

⭐ Pro-Tip for Beginners (Start Here!): Open strong! Make your very first guess a "high-information" equation that uses widely different digits and at least TWO different operators (like a + and a *). This tests multiple rules at once, maximizes your color feedback early on, and makes your next guesses much easier!