Number Slider - online puzzle game

Swap numbered tiles so every row forms an arithmetic sequence. Fixed tiles are your clues.

Mode: 3-Row Easy
Puzzle ID: 000,000,000
Time: 0:00
Moves: 0
Click a free tile to select it, then click another to swap. Make every row an arithmetic sequence.

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Game Introduction

overview

Number Slider is a math logic puzzle where you arrange number tiles into arithmetic sequences. Each row of the grid must form a sequence where the difference between consecutive numbers is constant. Swap free tiles strategically, using fixed tiles as clues to deduce the correct arrangement.

rules

  • The grid contains multiple rows of numbered tiles.
  • Dark (fixed) tiles are locked in place and serve as clues.
  • Light (free) tiles can be swapped with each other, even across rows.
  • Goal: arrange tiles so every row forms an arithmetic sequence (constant difference between adjacent numbers).
  • Each puzzle has exactly one correct solution.

controls

  • Click/tap a free tile to select it (blue glow).
  • Click/tap another free tile to swap them.
  • Click the same tile again to deselect.
  • Use Check to validate all rows.
  • Use Hint to auto-place one tile correctly.
  • Use New Game to generate a fresh puzzle.

scoring

Solve with fewer moves and less time for a better score. Each hint used counts as extra moves. The timer tracks your solve speed. Try to complete puzzles without hints for the best experience. Larger grids with more rows and longer sequences are worth more bragging rights.

tips

  • Start by calculating each row's common difference from the fixed tiles: d = (val2 - val1) / (pos2 - pos1).
  • Once you know the difference, compute what value should go in each empty slot.
  • Look for tiles that can only belong to one row (unique values).
  • On harder puzzles, use elimination: if a value fits only one remaining slot across all rows, place it there.

faq

What is an arithmetic sequence?

A sequence where the difference between consecutive terms is constant. Example: 3, 7, 11, 15 (difference = 4).

Can I swap tiles between different rows?

Yes! Any free tile can be swapped with any other free tile, regardless of which row they are in. Figuring out which tiles belong to which row is part of the challenge.

How are fixed tiles chosen?

Each row has 2 fixed tiles at random positions. They uniquely determine the row's common difference and all intermediate values.