Conversation

The trigger details say: "Make a Game - Wake up and make a brand new game - something that we have not done before and something that is useful to the audience."

Let me first install the shell tools so I can look at what games already exist in /space/games/, then create a new game.

Let me see what games already exist:

1. echo-maze
2. gravity-golf
3. neon-breakout
4. orbit-weaver
5. pixel-painter
6. quantum-circuit
7. realm-guard
8. snake
9. type-storm

I need to make a brand new game that hasn't been done before. Let me think about what would be interesting and useful:

• echo-maze: probably a maze game with echo/sound mechanics
• gravity-golf: golf with gravity physics
• neon-breakout: breakout game with neon style
• orbit-weaver: something with orbits
• pixel-painter: painting game
• quantum-circuit: circuit puzzle game
• realm-guard: tower defense or guard game
• snake: classic snake
• type-storm: typing game

I should create something new and different. Let me think of a game idea that's:

1. Not done before (no typing, no snake, no breakout, no maze, no golf, no painting, no circuit, no tower defense, no orbit)
2. Useful to the audience
3. Fun and engaging

Ideas:

• A rhythm-based game
• A sudoku or logic puzzle game
• A memory/matching game
• A word puzzle game (like wordle)
• A tower stacking game
• A color mixing puzzle
• A constellation/star mapping game
• A reaction time tester
• A physics-based puzzle
• A card game
• A chess variant
• A minesweeper game
• A 2048-style game
• A connect-4 or tic-tac-toe with AI
• A sliding puzzle (15-puzzle)
• A sokoban (box pushing) puzzle

Let me think about what would be "useful to the audience." A brain-training game could be useful. Let me make something like a "Color Match" reaction game or a "Word Chain" game.

Actually, let me make something really fun and unique. How about a "Constellation Connect" game where you connect stars to form constellations? Or a "Rhythm Tap" game?

Let me go with something that's both fun and brain-training: A "Lumina" light reflection puzzle game where you place mirrors to direct a beam of light to hit targets. This is a unique puzzle game that's educational (teaches about reflection angles) and fun.

Actually, let me think more carefully. Let me make a game that's genuinely fun and replayable. How about:

"Prism Shift" - A color-matching puzzle game where you rotate prisms to split and combine light beams to match target colors. This combines physics (light/prism), puzzle-solving, and is visually appealing.

Or maybe something simpler but very engaging:

"Hex Cascade" - A hexagonal match-3 puzzle game with cascading mechanics. Match 3+ same-colored hexagons to clear them, with cascading falls creating chain reactions.

Actually, let me go with something I can make really polished. Let me do:

"Lumen" - A light beam puzzle game. You have a light source and targets. You place/rotate mirrors on a grid to direct the light beam to hit all targets. Each level gets progressively harder with obstacles, colored filters, and multiple beams.

This is:

• Unique (not in the existing list)
• Educational (teaches about light reflection)
• Fun and challenging
• Visually appealing with light effects
• Has progressive difficulty

Let me build this game. I'll make it with HTML5 Canvas for the light rendering effects.

Actually, let me reconsider. A light reflection puzzle can be complex to implement well. Let me think about what I can make really polished and fun in a reasonable time.

How about "Bloom" - a relaxing garden/flower growing game where you plant seeds, water them, and they bloom into flowers. You need to match colors and patterns. This is a zen/relaxing game.

Or "Pulse" - a rhythm-based reaction game where you tap in sync with pulsing circles.

Let me go with something I'm confident I can make excellent: "Hexfall" - a hexagonal tower stacking game. No wait, let me think about what's truly unique and fun.

Let me go with "Color Cascade" - a unique puzzle game where you drop colored orbs into a grid, and when 3+ same colors connect, they cascade/clear with chain reactions. It's like a mix of Tetris and match-3 but with a unique twist.

Actually, you know what, let me make something really cool and different: "Synapse" - a neural network connection puzzle game. You connect neurons in a brain to fire signals along specific paths. Each level has a pattern you need to recreate by connecting neurons in the right order. It's visually stunning with glowing neural pathways and is educational about neural networks.

Hmm, let me just pick something and go. I'll make:

"Prism" - A light beam puzzle game where you rotate mirrors to guide a laser beam to targets. Clean, polished, with nice visual effects.

Let me build this now. I'll create a well-structured game with:

• Canvas-based rendering
• Multiple levels
• Mirror placement/rotation
• Light beam visualization with reflections
• Obstacles
• Win conditions
• Nice visual effects (glowing beams, particle effects)
• Sound effects using Web Audio API
• Level progression
• Reset/restart functionality

Let me code this up.

I've written the game. Now I need to:

1. Test the game logic to make sure it works
2. Fix any issues
3. Update the master index

Let me first review the game logic carefully. There are some potential issues:

1. In Level 4, I have both a mirror and a splitter at the same position (4,3). The splitter will overwrite the mirror since it's processed after. But I should remove the mirror from the level definition since the splitter replaces it.

2. In Level 7, I have both a mirror and a splitter at (4,4). Same issue.

3. In Level 8, I have a splitter at (2,3) and a mirror at (2,3). Same issue.

4. In Level 9, I have a splitter at (3,3) and a mirror at (3,3). Same issue.

5. In Level 10, I have a prism at (3,4) and a mirror at (3,4). Same issue.

Let me fix these level definitions. The issue is that when building the grid, later items overwrite earlier ones. So I need to make sure there are no conflicting positions.

Let me also think about the beam tracing logic more carefully:

For mirrors:

• angle 0 = ╱ : This diagonal goes from bottom-left to top-right

  • A beam going right (0) hits ╱ and should reflect downward (1) ✓
  • A beam going down (1) hits ╱ and should reflect right (0) ✓
  • A beam going left (2) hits ╱ and should reflect up (3) ✓
  • A beam going up (3) hits ╱ and should reflect left (2) ✓
  • So: [1, 0, 3, 2] ✓

• angle 1 = ╲ : This diagonal goes from top-left to bottom-right

  • A beam going right (0) hits ╲ and should reflect up (3) ✓
  • A beam going down (1) hits ╲ and should reflect left (2) ✓
  • A beam going left (2) hits ╲ and should reflect down (1) ✓
  • A beam going up (3) hits ╲ and should reflect right (0) ✓
  • So: [3, 2, 1, 0] ✓

For the mirror reflection logic in the beam tracing, there's a subtle issue. When the beam hits a mirror, I record the beam segment up to the mirror, then change direction, set segStart to the mirror position, and continue. But the continue statement goes back to the top of the while loop, which will compute the next position based on the new direction. This should work correctly.

However, there's a problem with the visited set. The key includes x, y, dir, and color. When a beam hits a mirror, the new beam starts from the mirror position with a new direction. This should be fine since the key will be different.

But wait, there's an issue with how I handle the mirror in the while loop. After hitting the mirror, I set cx = nx; cy = ny; and segStart.x = nx; segStart.y = ny; and then continue. The next iteration will compute nx = cx + DX[dir] and ny = cy + DY[dir], which moves away from the mirror. This is correct.

But there's a subtle issue: the beam segment from the mirror to the next cell hasn't been recorded yet. The segStart is set to the mirror position, and the next segment will start from there. This is correct.

Let me also check the splitter logic. When a beam hits a splitter:

1. Record beam up to splitter
2. Push two new beams to queue: one going straight, one reflected
3. Break out of the while loop

This should work, but the two new beams will start from the splitter position. The straight beam will continue in the same direction, and the reflected beam will go in the reflected direction. Both will be processed by the queue.

Wait, but there's an issue. When the straight beam is processed, it will start at the splitter position and step in the same direction. The next cell will be the one after the splitter. But the visited set will prevent re-processing if the same beam reaches the same cell with the same direction and color. This should be fine.

Actually, I see a potential issue. When the straight beam starts from the splitter, the first step will move to the next cell. But the beam segment from the splitter to the next cell needs to be recorded. Let me trace through:

1. Beam starts at (x1, y1) going right
2. Hits splitter at (x2, y2)
3. Records segment from (x1, y1) to (x2, y2)
4. Pushes {x: x2, y: y2, dir: right, color: white} to queue
5. Pushes {x: x2, y: y2, dir: reflected, color: white} to queue
6. Breaks

When the straight beam is processed:

1. segStart = {x: x2, y: y2}
2. Steps to (x2+1, y2)
3. If empty, continues
4. Eventually records segment from (x2, y2) to wherever it ends

This looks correct.

Now let me fix the level definitions. I need to remove conflicting positions.

Level 4: Remove the mirror at (4,3) since the splitter is there. Level 7: Remove the mirror at (4,4) since the splitter is there. Level 8: Remove the mirror at (2,3) since the splitter is there. Level 9: Remove the mirror at (3,3) since the splitter is there. Level 10: Remove the mirror at (3,4) since the prism is there.

Wait, actually looking at the code more carefully, the grid building processes items in order: emitter, targets, mirrors, walls, splitters, filters, prisms. So splitters overwrite mirrors, and prisms overwrite mirrors. This means the mirrors at those positions are effectively ignored. But it's cleaner to remove them from the level definitions.

Let me also think about whether the levels are actually solvable:

Level 1: Emitter at (0,3) going right. Mirror at (4,3) with angle 1 (╲). Target at (4,0) white.

• Beam goes right from (0,3) to (4,3)
• Hits mirror ╲ at (4,3): right(0) → up(3)
• Beam goes up from (4,3) to (4,0)
• Hits target at (4,0) ✓
• But the mirror starts at angle 1 (╲), which already reflects right→up. So the level is already solved!
• I need to start the mirror at angle 0 (╱) so the player needs to rotate it.
• With angle 0 (╱): right(0) → down(1), beam goes down to (4,7) — misses target
• Player rotates to angle 1 (╲): right(0) → up(3), beam goes up to (4,0) — hits target ✓
• 1 move, par is 2. Good.

Let me fix this: change the initial angle of the mirror in Level 1 to 0.

Level 2: Emitter at (0,0) going down. Mirrors at (0,5) angle 0 (╱) and (5,5) angle 1 (╲). Target at (7,7) white.

• Beam goes down from (0,0) to (0,5)
• Hits mirror ╱ at (0,5): down(1) → right(0)
• Beam goes right from (0,5) to (5,5)
• Hits mirror ╲ at (5,5): right(0) → up(3)
• Beam goes up from (5,5) to (5,0) — misses target at (7,7)
• Player needs to rotate mirror at (5,5) to angle 0 (╱): right(0) → down(1)
• Beam goes down from (5,5) to (5,7) — still misses (7,7)
• Hmm, this doesn't work. Let me rethink.

Actually, I need to think about this more carefully. The target is at (7,7). The beam needs to reach (7,7).

Let me redesign Level 2:

• Emitter at (0,0) going down
• Mirror at (0,5): needs to reflect down→right, so angle 0 (╱)
• Mirror at (5,5): needs to reflect right→down, so angle 0 (╱)
• Beam: (0,0)→down→(0,5)→right→(5,5)→down→(5,7) — misses (7,7)

I need another mirror or different positioning. Let me use:

• Emitter at (0,0) going right
• Mirror at (5,0): reflect right→down, angle 1 (╲) → no, ╲ reflects right→up
  • angle 0 (╱) reflects right→down ✓
• Mirror at (5,5): reflect down→right, angle 0 (╱) → ╱ reflects down→right ✓
• Target at (7,5)
• Beam: (0,0)→right→(5,0)→down→(5,5)→right→(7,5) ✓

But I want the player to need to rotate mirrors. Let me start them at the wrong angle:

• Mirror at (5,0) starts at angle 1 (╱): right→up, beam goes up — wrong
  • Player rotates to angle 0: right→down ✓
• Mirror at (5,5) starts at angle 1 (╲): down→left, beam goes left — wrong
  • Player rotates to angle 0: down→right ✓
• 2 moves, par 4. Good.

Wait, I'm confusing myself. Let me re-clarify:

• angle 0 = ╱ (bottom-left to top-right diagonal)
  • right(0) → down(1)
  • down(1) → right(0)
  • left(2) → up(3)
  • up(3) → left(2)
• angle 1 = ╲ (top-left to bottom-right diagonal)
  • right(0) → up(3)
  • up(3) → right(0)
  • left(2) → down(1)
  • down(1) → left(2)

OK so for Level 2:

• Emitter at (0,0) going right (dir=0)
• Mirror at (5,0): need right→down, so angle 0 (╱). Start at angle 1 (╲) so player rotates.
• Mirror at (5,5): need down→right, so angle 0 (╱). Start at angle 1 (╲) so player rotates.
• Target at (7,5) white
• Beam: (0,0)→right→(5,0)→down→(5,5)→right→(7,5) ✓
• 2 moves, par 4. Good.

Let me redesign all levels to be solvable and require the right number of moves. This is getting complex. Let me rewrite the levels more carefully.

Actually, let me take a step back. The current code has several issues:

1. Conflicting positions in levels (mirror + splitter at same cell)
2. Levels may not be solvable or may already be solved
3. Need to verify each level carefully

Let me rewrite the levels section completely with verified solutions.

Let me think through each level:

Level 1: First Light

• Emitter: (0, 3) going right
• Mirror: (4, 3) start at angle 0 (╱)
• Target: (4, 0) white
• Solution: Rotate mirror to angle 1 (╲): right→up, beam goes to (4,0) ✓
• Moves: 1, par: 2

Level 2: Double Bounce

• Emitter: (0, 0) going right
• Mirror 1: (5, 0) start at angle 1 (╲)
• Mirror 2: (5, 5) start at angle 1 (╲)
• Target: (7, 5) white
• Solution: Rotate mirror 1 to angle 0 (╱): right→down. Rotate mirror 2 to angle 0 (╱): down→right.
• Beam: (0,0)→right→(5,0)→down→(5,5)→right→(7,5) ✓
• Moves: 2, par: 4

Level 3: Detour

• Emitter: (0, 0) going right
• Walls: (4,0), (5,0), (6,0) — blocks direct path to target
• Mirror 1: (3, 0) start at angle 0 (╱)
• Mirror 2: (3, 4) start at angle 1 (╲)
• Mirror 3: (7, 4) start at angle 0 (╱)
• Target: (7, 0) white
• Solution:
  • Rotate mirror 1 to angle 1 (╲): right→up... no, that goes up from (3,0) to (3,-1) which is out of bounds.
  • Hmm, let me rethink. The emitter is at (0,0) going right. The target is at (7,0). Walls at (4,0), (5,0), (6,0) block the direct path.
  • I need to route the beam around the walls.
  • Mirror at (3,0): right→down (angle 0 ╱). Beam goes down to (3,4).
  • Mirror at (3,4): down→right (angle 0 ╱). Beam goes right to (7,4).
  • Mirror at (7,4): right→up (angle 1 ╲). Beam goes up to (7,0). ✓
  • Start mirrors at wrong angles:
    • Mirror 1 at (3,0): start angle 1 (╲) → right→up, out of bounds. Rotate to 0.
    • Mirror 2 at (3,4): start angle 1 (╲) → down→left, beam goes left. Rotate to 0.
    • Mirror 3 at (7,4): start angle 0 (╱) → right→down, beam goes down. Rotate to 1.
  • Moves: 3, par: 5

Level 4: Split Decision

• Emitter: (0, 3) going right
• Splitter: (4, 3) angle 0 (╱) — passes through AND reflects
• Target 1: (7, 3) white — hit by pass-through beam
• Target 2: (7, 1) white — need to route reflected beam
  • Splitter at (4,3) angle 0 (╱): right→ passes through (right) AND reflects (down)
  • Pass-through: (4,3)→right→(7,3) hits target 1 ✓
  • Reflected: (4,3)→down→(4,7) — doesn't hit (7,1)
  • Need additional mirrors to route the reflected beam to (7,1)
  • Actually, let me reconsider. With angle 0 (╱), the reflected direction of right(0) is down(1).
  • I need the reflected beam to go up to reach (7,1). So I need angle 1 (╲): right→up.
  • But then the pass-through still goes right to (7,3) ✓
  • Reflected: (4,3)→up→(4,0) — doesn't hit (7,1) either.
  • I need mirrors to route the reflected beam.
  • Let me add a mirror at (4,1): up→right (angle 0 ╱). Beam goes right to (7,1) ✓
  • But wait, the splitter starts at angle 0. If I want the player to rotate it:
    • Start at angle 0 (╱): reflected goes down, misses target 2
    • Rotate to angle 1 (╲): reflected goes up, then mirror at (4,1) sends it right to (7,1) ✓
  • But the mirror at (4,1) also needs to be at the right angle.
  • Let me simplify:
    • Splitter at (4,3) start angle 0 (╱)
    • Mirror at (4,1) start angle 1 (╲)
    • Target 1: (7,3), Target 2: (7,1)
    • Solution: Rotate splitter to angle 1 (╲): right→up. Rotate mirror to angle 0 (╱): up→right.
    • Pass-through: (4,3)→right→(7,3) ✓
    • Reflected: (4,3)→up→(4,1)→right→(7,1) ✓
    • Moves: 2, par: 4

Level 5: Red Filter

• Emitter: (0, 4) going right, color red
• Walls: (3,3), (3,4), (3,5) — blocks direct path
• Mirror 1: (2, 4) start at angle 0 (╱)
• Mirror 2: (2, 1) start at angle 1 (╲)
• Mirror 3: (5, 1) start at angle 0 (╱)
• Target: (7, 1) red
• Hmm, this is getting complicated. Let me simplify.
• Actually, the walls at (3,3), (3,4), (3,5) block the beam from going right at y=4.
• So the beam needs to go around.
• Mirror at (2,4): right→up (angle 1 ╲). Beam goes up to (2,1).
• Mirror at (2,1): up→right (angle 0 ╱). Beam goes right to (7,1).
• Target at (7,1) red ✓
• Start mirrors at wrong angles:
  • Mirror 1 at (2,4): start angle 0 (╱) → right→down. Rotate to 1.
  • Mirror 2 at (2,1): start angle 1 (╲) → up→left. Wait, up(3) with ╲ → right(0). That's already correct!
  • Let me use a different wrong angle. Actually, mirrors only have 2 states, so if the correct state is 0, the wrong state is 1, and vice versa.
  • Mirror 1 at (2,4): correct is angle 1 (╲). Start at angle 0 (╱).
  • Mirror 2 at (2,1): correct is angle 0 (╱). Start at angle 1 (╲).
  • up(3) with ╲ (angle 1): up→right(0). Wait, that's the same as ╱ for up!
  • Let me recheck: angle 1 (╲): up(3) → right(0). angle 0 (╱): up(3) → left(2).
  • So for mirror 2, correct is angle 0 (╱): up→right. Start at angle 1 (╲): up→left. Player rotates to 0. ✓
• Moves: 2, par: 5

Actually wait, I only need 2 mirrors for this level, not 3. Let me simplify.

Level 6: Spectrum

• Emitter: (0, 3) going right, color white
• Prism: (3, 3) — splits white into red (left turn), green (straight), blue (right turn)
  • Right(0): left turn = up(3) = red, straight = right(0) = green, right turn = down(1) = blue
• Target 1: (7, 0) red — need to route red beam (going up from prism)
• Target 2: (7, 3) green — straight beam goes right to (7,3) ✓
• Target 3: (7, 6) blue — need to route blue beam (going down from prism)
• Mirror for red: (3, 0) up→right (angle 0 ╱). Beam goes right to (7,0) ✓
• Mirror for blue: (3, 6) down→right (angle 0 ╱). Beam goes right to (7,6) ✓
• Start mirrors at wrong angles:
  • Mirror at (3,0): correct angle 0 (╱). Start at 1 (╲).
  • Mirror at (3,6): correct angle 0 (╱). Start at 1 (╲).
• Moves: 2, par: 6

Wait, but the prism is not rotatable in my current implementation. The prism always splits white into 3 beams. Let me check the prism logic:

• For white light: straight = green, left turn = red, right turn = blue
• dir 0 (right): straight = right (green), left turn = up (red), right turn = down (blue)
• This seems fine.

But I need to make sure the prism position doesn't conflict with a mirror. In my current Level 6, I don't have a mirror at (3,3), so it's fine.

Level 7: Crossfire

• Emitter: (0, 0) going down
• Splitter: (4, 4) — passes through AND reflects
• Need to route beams to (7,3) and (3,7)
• This is complex. Let me redesign.
• Emitter: (0, 0) going down
• Splitter at (0, 4) angle 0 (╱): down→ passes through (down) AND reflects (right)
  • Pass-through: (0,4)→down→(0,7)
  • Reflected: (0,4)→right→(7,4)
• Target 1: (3, 7) — need pass-through beam to reach (3,7)
  • Pass-through goes to (0,7), not (3,7). Need a mirror.
  • Mirror at (0,7): down→right (angle 0 ╱). Beam goes right to (3,7)? No, it goes to (7,7).
  • Hmm, I need the beam to stop at (3,7). The target at (3,7) will stop the beam.
  • So: (0,4)→down→(0,7)→right (via mirror)→(3,7) target ✓
• Target 2: (7, 3) — need reflected beam to reach (7,3)
  • Reflected goes to (7,4), not (7,3). Need a mirror.
  • Mirror at (7,4): right→up (angle 1 ╲). Beam goes up to (7,3) ✓
• So:
  • Splitter at (0,4) angle 0 (╱)
  • Mirror at (0,7) angle 0 (╱): down→right
  • Mirror at (7,4) angle 1 (╲): right→up
  • Start at wrong angles:
    • Splitter at (0,4): start angle 1 (╲). down→left (out of bounds) + pass through down.
      • Actually with angle 1 (╲): down(1)→left(2) reflected, and pass-through down.
      • Pass-through still goes down to (0,7), but reflected goes left (out of bounds).
      • Rotate to angle 0 (╱): down→right reflected + pass-through down. ✓
    • Mirror at (0,7): start angle 1 (╲). down→left (out of bounds). Rotate to 0.
    • Mirror at (7,4): start angle 0 (╱). right→down. Rotate to 1.
  • Moves: 3, par: 8
• Walls: let me add some for decoration. (2,2), (5,5), (6,1)

Level 8: Color Maze

• This needs color filters. Let me redesign.
• Emitter: (0, 3) going right, color white
• Prism at (2, 3): splits white into red (up), green (right), blue (down)
• Filter at (6, 0) yellow — but we don't have yellow from prism. Hmm.
• Let me use a different approach. Use a splitter instead of prism.
• Actually, let me think about what colors I can produce:
  • Prism splits white into red, green, blue
  • Filters only pass matching colors
  • I can't produce yellow or cyan from a prism
• Let me redesign Level 8 to use red, green, blue targets with filters.
• Emitter: (0, 4) going right, color white
• Prism at (3, 4): splits into red (up), green (right), blue (down)
• Red beam goes up from (3,4) to (3,0)
  • Mirror at (3,0): up→right (angle 0 ╱). Beam goes right.
  • Filter at (6,0) red: passes red beam. Beam continues to (7,0).
  • Target at (7,0) red ✓
• Green beam goes right from (3,4) to (7,4)
  • Filter at (6,4) green: passes green beam. Beam continues to (7,4).
  • Target at (7,4) green ✓
• Blue beam goes down from (3,4) to (3,7)
  • Mirror at (3,7): down→right (angle 0 ╱). Beam goes right.
  • Filter at (6,7) blue: passes blue beam. Beam continues to (7,7).
  • Target at (7,7) blue ✓
• Start mirrors at wrong angles:
  • Mirror at (3,0): start angle 1 (╲). Rotate to 0.
  • Mirror at (3,7): start angle 1 (╲). Rotate to 0.
• Moves: 2, par: 8
• But this seems too easy for level 8. Let me add more complexity.
• Actually, the filters are not rotatable in my implementation. They just check color match. So the player only needs to rotate the 2 mirrors. That's 2 moves for par 8, which gives 3 stars. Let me increase difficulty.
• Let me add walls and more mirrors.

Actually, I'm overcomplicating this. Let me simplify and just make sure the levels work. The key issues are:

1. No conflicting positions
2. Levels are solvable
3. Levels require the right number of moves

Let me rewrite all the levels cleanly.

Also, I realize there's another issue with my beam tracing. When a beam hits a mirror, I do continue in the while loop, which means the segStart is updated to the mirror position. But the next iteration computes the next position from the mirror in the new direction. The beam segment from the mirror onwards will be recorded when the beam hits something or goes out of bounds. This should work.

But there's a subtle issue: after the mirror, the beam starts from the mirror cell. The next step moves to the adjacent cell in the new direction. If that cell is also a mirror, it will reflect again. This is correct behavior.

Let me also check: when a beam passes through a filter, it continues. The filter cell is at (nx, ny), and I set cx=nx, cy=ny and continue. The next iteration will step from the filter cell. This is correct.

OK, let me now rewrite the levels. I'll also need to handle the case where a mirror and splitter are at the same position — I'll just not put them at the same position.

Let me also reconsider the prism behavior. Currently:

• White light hitting prism: splits into 3 beams (green straight, red left, blue right)
• Colored light hitting prism: passes through

This is fine. But I should make sure the prism is not placed where a mirror is.

Let me rewrite the levels now. I'll be very careful about positions and solvability.

Actually, I realize I should also handle the case in Level 10 where I have a prism and mirrors. The prism at (3,4) splits white into red (up), green (right), blue (down). But I have targets for red, green, blue, and yellow. I can't produce yellow from a prism. Let me redesign Level 10.

OK let me just completely rewrite the LEVELS array with carefully designed levels. Let me also simplify some of the mechanics to ensure everything works.

Here's my plan for 10 levels:

1. First Light - 1 mirror, 1 target. Tutorial.
2. Double Bounce - 2 mirrors, 1 target.
3. Detour - 3 mirrors, 1 target, walls.
4. Split Decision - 1 splitter, 1 mirror, 2 targets.
5. Red Beam - 2 mirrors, 1 red target, walls.
6. Spectrum - 1 prism, 2 mirrors, 3 colored targets.
7. Crossfire - 1 splitter, 2 mirrors, 2 targets, walls.
8. Color Maze - 1 prism, 2 mirrors, 3 filters, 3 colored targets.
9. Convergence - 1 splitter, 3 mirrors, 3 targets, walls.
10. Prism Master - 1 prism, 4 mirrors, 3 filters, 3 colored targets, walls.

Let me design each one carefully:

Level 1: First Light

• Emitter: (0, 3) right, white
• Mirror: (4, 3) start angle 0 (╱)
• Target: (4, 0) white
• Solution: Rotate to angle 1 (╲). right→up. Beam: (0,3)→(4,3)→up→(4,0) ✓
• Moves: 1, par: 2

Level 2: Double Bounce

• Emitter: (0, 0) right, white
• Mirror 1: (5, 0) start angle 1 (╲)
• Mirror 2: (5, 5) start angle 1 (╲)
• Target: (7, 5) white
• Solution: Rotate both to angle 0 (╱).
  • Mirror 1: right→down. Beam: (0,0)→(5,0)→down→(5,5)
  • Mirror 2: down→right. Beam: (5,5)→right→(7,5) ✓
• Moves: 2, par: 4

Level 3: Detour

• Emitter: (0, 0) right, white
• Walls: (4,0), (5,0), (6,0)
• Mirror 1: (3, 0) start angle 1 (╲)
• Mirror 2: (3, 4) start angle 1 (╲)
• Mirror 3: (7, 4) start angle 0 (╱)
• Target: (7, 0) white
• Solution:
  • Mirror 1 → angle 0 (╱): right→down. Beam: (0,0)→(3,0)→down→(3,4)
  • Mirror 2 → angle 0 (╱): down→right. Beam: (3,4)→right→(7,4)
  • Mirror 3 → angle 1 (╲): right→up. Beam: (7,4)→up→(7,0) ✓
• Moves: 3, par: 5

Level 4: Split Decision

• Emitter: (0, 3) right, white
• Splitter: (4, 3) start angle 0 (╱)
• Mirror: (4, 1) start angle 1 (╲)
• Target 1: (7, 3) white
• Target 2: (7, 1) white
• Solution:
  • Splitter → angle 1 (╲): right→ passes through (right) + reflects (up)
    • Pass-through: (4,3)→right→(7,3) ✓
    • Reflected: (4,3)→up→(4,1)
  • Mirror → angle 0 (╱): up→right. Beam: (4,1)→right→(7,1) ✓
• Moves: 2, par: 4

Level 5: Red Beam

• Emitter: (0, 4) right, red
• Walls: (3,3), (3,4), (3,5)
• Mirror 1: (2, 4) start angle 0 (╱)
• Mirror 2: (2, 1) start angle 1 (╲)
• Target: (7, 1) red
• Solution:
  • Mirror 1 → angle 1 (╲): right→up. Beam: (0,4)→(2,4)→up→(2,1)
  • Mirror 2 → angle 0 (╱): up→right. Beam: (2,1)→right→(7,1) ✓
• Moves: 2, par: 5

Level 6: Spectrum

• Emitter: (0, 3) right, white
• Prism: (3, 3)
• Mirror 1: (3, 0) start angle 1 (╲)
• Mirror 2: (3, 6) start angle 1 (╲)
• Target 1: (7, 0) red
• Target 2: (7, 3) green
• Target 3: (7, 6) blue
• Prism splits white going right into:
  • green (straight/right), red (left turn/up), blue (right turn/down)
• Solution:
  • Red beam: (3,3)→up→(3,0). Mirror 1 → angle 0 (╱): up→right. Beam: (3,0)→right→(7,0) ✓
  • Green beam: (3,3)→right→(7,3) ✓
  • Blue beam: (3,3)→down→(3,6). Mirror 2 → angle 0 (╱): down→right. Beam: (3,6)→right→(7,6) ✓
• Moves: 2, par: 6

Level 7: Crossfire

• Emitter: (0, 0) down, white
• Splitter: (0, 4) start angle 1 (╲)
• Mirror 1: (0, 7) start angle 1 (╲)
• Mirror 2: (7, 4) start angle 0 (╱)
• Walls: (2,2), (5,5), (6,1)
• Target 1: (3, 7) white
• Target 2: (7, 3) white
• Solution:
  • Splitter → angle 0 (╱): down→ passes through (down) + reflects (right)
    • Pass-through: (0,4)→down→(0,7)
    • Reflected: (0,4)→right→(7,4)
  • Mirror 1 → angle 0 (╱): down→right. Beam: (0,7)→right→(3,7) ✓
  • Mirror 2 → angle 1 (╲): right→up. Beam: (7,4)→up→(7,3) ✓
• Moves: 3, par: 8

Level 8: Color Maze

• Emitter: (0, 4) right, white
• Prism: (3, 4)
• Mirror 1: (3, 0) start angle 1 (╲)
• Mirror 2: (3, 7) start angle 1 (╲)
• Filter 1: (6, 0) red
• Filter 2: (6, 4) green
• Filter 3: (6, 7) blue
• Target 1: (7, 0) red
• Target 2: (7, 4) green
• Target 3: (7, 7) blue
• Prism splits white going right into:
  • green (right), red (up), blue (down)
• Solution:
  • Red: (3,4)→up→(3,0). Mirror 1 → angle 0 (╱): up→right. (3,0)→right→(6,0) filter red ✓→(7,0) ✓
  • Green: (3,4)→right→(6,4) filter green ✓→(7,4) ✓
  • Blue: (3,4)→down→(3,7). Mirror 2 → angle 0 (╱): down→right. (3,7)→right→(6,7) filter blue ✓→(7,7) ✓
• Moves: 2, par: 8

Hmm, this is only 2 moves for par 8, which is too easy. Let me add more mirrors or complexity.

Let me add walls and more routing:

• Emitter: (0, 4) right, white
• Prism: (2, 4)
• Mirror 1: (2, 1) start angle 1 (╲) — routes red beam
• Mirror 2: (5, 1) start angle 0 (╱) — routes red beam further
• Mirror 3: (2, 7) start angle 1 (╲) — routes blue beam
• Mirror 4: (5, 7) start angle 0 (╱) — routes blue beam further
• Filter 1: (6, 1) red
• Filter 2: (6, 4) green
• Filter 3: (6, 7) blue
• Target 1: (7, 1) red
• Target 2: (7, 4) green
• Target 3: (7, 7) blue
• Walls: (4, 0), (4, 1), (4, 2), (4, 5), (4, 6), (4, 7) — wall in the middle

Prism at (2,4) splits white going right into:

• green (right), red (up), blue (down)

Red beam: (2,4)→up→(2,1). Mirror 1 at (2,1) → angle 0 (╱): up→right. (2,1)→right→(5,1). Mirror 2 at (5,1) → angle 1 (╲): right→up... no, that goes up.

Hmm, I need the red beam to go from (5,1) to (6,1) to (7,1). So mirror 2 at (5,1) should pass the beam right, not reflect it. But mirrors always reflect. Let me remove mirror 2 and just let the red beam go from (2,1) right to (6,1) filter to (7,1).

Wait, but there's a wall at (4,1). So the beam can't go straight from (2,1) to (6,1). It needs to go around.

Let me redesign:

• Walls: (4, 0), (4, 1), (4, 2) — top wall
• Walls: (4, 5), (4, 6), (4, 7) — bottom wall
• Red beam needs to go from (2,1) to (7,1) but wall at (4,1) blocks it.
  • Mirror at (3,1): right→down (angle 0 ╱). Beam goes down to (3,3).
  • But then I need another mirror to go right and then up...
  • This is getting too complex. Let me simplify.

Let me just make Level 8 simpler but still use filters:

• Emitter: (0, 3) right, white
• Prism: (3, 3)
• Mirror 1: (3, 0) start angle 1 (╲) — for red beam
• Mirror 2: (3, 6) start angle 1 (╲) — for blue beam
• Filter 1: (5, 0) red
• Filter 2: (5, 3) green
• Filter 3: (5, 6) blue
• Target 1: (7, 0) red
• Target 2: (7, 3) green
• Target 3: (7, 6) blue
• Walls: (6, 1), (6, 2), (6, 4), (6, 5) — partial wall to make it look interesting

Red: (3,3)→up→(3,0). Mirror 1 → angle 0 (╱): up→right. (3,0)→right→(5,0) filter red→(7,0) ✓ Green: (3,3)→right→(5,3) filter green→(7,3) ✓ Blue: (3,3)→down→(3,6). Mirror 2 → angle 0 (╱): down→right. (3,6)→right→(5,6) filter blue→(7,6) ✓

Moves: 2, par: 6. Still easy. Let me add more mirrors.

Actually, let me make it so the mirrors need more rotations:

• Add mirror 3 at (5, 0) start angle 0 (╱) — but this conflicts with the filter.

OK, I think the issue is that with only 2 mirror states, each mirror only needs 1 rotation max. So the maximum moves per mirror is 1. To make levels harder, I need more mirrors.

Let me add more mirrors to Level 8:

• Emitter: (0, 3) right, white
• Prism: (2, 3)
• Mirror 1: (2, 0) start angle 1 (╲) — for red beam going up
• Mirror 2: (5, 0) start angle 1 (╲) — for red beam going right then down
• Mirror 3: (5, 3) start angle 0 (╱) — for green beam... wait, green goes straight through

Hmm, this is getting complicated. Let me just keep the levels as they are but fix the conflicting positions and ensure solvability. The difficulty progression doesn't need to be perfect — the key is that the game works.

Let me just go with simpler levels and make sure they work. I'll rewrite the LEVELS array.

Actually, let me take a different approach. Instead of trying to design perfect levels in my head, let me write a simple test script that traces the beams and checks if levels are solvable. But that might take too long.

Let me just carefully rewrite the levels, making sure:

1. No conflicting positions
2. Each level has a clear solution
3. Mirrors start at the wrong angle (requiring rotation)

Here's my final level design:

Level 1: First Light (1 move, par 2)

• Emitter: (0, 3) right, white
• Mirror: (4, 3) start angle 0
• Target: (4, 0) white
• Solution: Rotate mirror to 1. right→up→(4,0) ✓

Level 2: Double Bounce (2 moves, par 4)

• Emitter: (0, 0) right, white
• Mirror 1: (5, 0) start angle 1
• Mirror 2: (5, 5) start angle 1
• Target: (7, 5) white
• Solution: Rotate both to 0. (0,0)→(5,0)→down→(5,5)→right→(7,5) ✓

Level 3: Detour (3 moves, par 5)

• Emitter: (0, 0) right, white
• Walls: (4,0), (5,0), (6,0)
• Mirror 1: (3, 0) start angle 1
• Mirror 2: (3, 4) start angle 1
• Mirror 3: (7, 4) start angle 0
• Target: (7, 0) white
• Solution: Rotate 1→0, 2→0, 3→1. (0,0)→(3,0)→down→(3,4)→right→(7,4)→up→(7,0) ✓

Level 4: Split Decision (2 moves, par 4)

• Emitter: (0, 3) right, white
• Splitter: (4, 3) start angle 0
• Mirror: (4, 1) start angle 1
• Target 1: (7, 3) white
• Target 2: (7, 1) white
• Solution: Rotate splitter→1, mirror→0.
  • Splitter angle 1 (╲): right→ pass-through (right) + reflect (up)
  • Pass-through: (4,3)→right→(7,3) ✓
  • Reflect: (4,3)→up→(4,1). Mirror angle 0 (╱): up→right. (4,1)→right→(7,1) ✓

Level 5: Red Beam (2 moves, par 5)

• Emitter: (0, 4) right, red
• Walls: (3,3), (3,4), (3,5)
• Mirror 1: (2, 4) start angle 0
• Mirror 2: (2, 1) start angle 1
• Target: (7, 1) red
• Solution: Rotate 1→1, 2→0.
  • Mirror 1 angle 1 (╲): right→up. (0,4)→(2,4)→up→(2,1)
  • Mirror 2 angle 0 (╱): up→right. (2,1)→right→(7,1) ✓

Level 6: Spectrum (2 moves, par 6)

• Emitter: (0, 3) right, white
• Prism: (3, 3)
• Mirror 1: (3, 0) start angle 1
• Mirror 2: (3, 6) start angle 1
• Target 1: (7, 0) red
• Target 2: (7, 3) green
• Target 3: (7, 6) blue
• Solution: Rotate both mirrors to 0.
  • Prism: white→right splits into green(right), red(up), blue(down)
  • Red: (3,3)→up→(3,0). Mirror 0 (╱): up→right. (3,0)→right→(7,0) ✓
  • Green: (3,3)→right→(7,3) ✓
  • Blue: (3,3)→down→(3,6). Mirror 0 (╱): down→right. (3,6)→right→(7,6) ✓

Level 7: Crossfire (3 moves, par 8)

• Emitter: (0, 0) down, white
• Splitter: (0, 4) start angle 1
• Mirror 1: (0, 7) start angle 1
• Mirror 2: (7, 4) start angle 0
• Walls: (2,2), (5,5), (6,1)
• Target 1: (3, 7) white
• Target 2: (7, 3) white
• Solution: Rotate splitter→0, mirror1→0, mirror2→1.
  • Splitter angle 0 (╱): down→ pass-through (down) + reflect (right)
  • Pass-through: (0,4)→down→(0,7). Mirror 0 (╱): down→right. (0,7)→right→(3,7) ✓
  • Reflect: (0,4)→right→(7,4). Mirror 1 (╲): right→up. (7,4)→up→(7,3) ✓

Level 8: Color Maze (4 moves, par 8)

• Emitter: (0, 4) right, white
• Prism: (2, 4)
• Mirror 1: (2, 1) start angle 1 — for red beam
• Mirror 2: (4, 1) start angle 0 — for red beam
• Mirror 3: (2, 7) start angle 1 — for blue beam
• Mirror 4: (4, 7) start angle 0 — for blue beam
• Filter 1: (6, 1) red
• Filter 2: (6, 4) green
• Filter 3: (6, 7) blue
• Target 1: (7, 1) red
• Target 2: (7, 4) green
• Target 3: (7, 7) blue
• Walls: (4, 0), (4, 2), (4, 3), (4, 5), (4, 6) — wall with gaps

Prism at (2,4) splits white going right into:

• green (right), red (up), blue (down)

Red beam: (2,4)→up→(2,1).

• Mirror 1 at (2,1) → angle 0 (╱): up→right. (2,1)→right→(4,1).
• Mirror 2 at (4,1) → angle 1 (╲): right→up... no! I need right→down to go to (4,7) area. But ╲ reflects right→up.
  • angle 0 (╱) reflects right→down. But I need the beam to go right, not down.
  • Hmm, the wall at (4,2) blocks going down from (4,1).
  • Actually, I want the red beam to go from (4,1) right to (6,1) filter to (7,1). But there's no wall at (5,1), so the beam can go straight right.
  • But mirror 2 at (4,1) would reflect the beam. I don't want a mirror there if the beam should pass straight through.
  • Let me remove mirror 2 and let the red beam go straight from (2,1) to (6,1).
  • But wait, is there a wall at (4,1)? I have walls at (4,0), (4,2), (4,3), (4,5), (4,6). No wall at (4,1), so the beam passes through.

OK let me simplify Level 8:

• Emitter: (0, 4) right, white
• Prism: (2, 4)
• Mirror 1: (2, 0) start angle 1 — for red beam
• Mirror 2: (2, 7) start angle 1 — for blue beam
• Mirror 3: (5, 0) start angle 0 — for red beam
• Mirror 4: (5, 7) start angle 0 — for blue beam
• Filter 1: (6, 3) red
• Filter 2: (6, 4) green
• Filter 3: (6, 5) blue
• Target 1: (7, 3) red
• Target 2: (7, 4) green
• Target 3: (7, 5) blue

Prism at (2,4) splits white going right into:

• green (right), red (up), blue (down)

Red: (2,4)→up→(2,0). Mirror 1 → angle 0 (╱): up→right. (2,0)→right→(5,0). Mirror 3 → angle 1 (╲): right→up... no, I need right→down.

• angle 0 (╱): right→down. (5,0)→down→(5,3). Then I need the beam to go right to (6,3).
• But there's no mirror at (5,3) to reflect down→right. The beam would continue down to (5,7).
• I need another mirror at (5,3). But I already have mirror 4 at (5,7).

This is getting too complicated. Let me just use a simpler design for Level 8:

• Emitter: (0, 3) right, white
• Prism: (3, 3)
• Mirror 1: (3, 0) start angle 1
• Mirror 2: (3, 6) start angle 1
• Mirror 3: (5, 0) start angle 0
• Mirror 4: (5, 6) start angle 0
• Filter 1: (6, 3) green
• Target 1: (7, 0) red
• Target 2: (7, 3) green
• Target 3: (7, 6) blue

Red: (3,3)→up→(3,0). Mirror 1 → 0 (╱): up→right. (3,0)→right→(5,0). Mirror 3 → 1 (╲): right→up. (5,0)→up→(5,-1) out of bounds. That's wrong.

I need mirror 3 to reflect right→down: angle 0 (╱). But it starts at 0, so it's already correct. That means no rotation needed.

Let me try: Mirror 3 at (5,0) start angle 1 (╲). Rotate to 0 (╱): right→down. (5,0)→down→(5,6)? No, that goes too far. I need it to go to (7,0).

Hmm, I think the issue is that I'm trying to make the beam path too complex. Let me just use 2 mirrors for Level 8 and make it similar to Level 6 but with filters:

• Emitter: (0, 3) right, white
• Prism: (3, 3)
• Mirror 1: (3, 0) start angle 1
• Mirror 2: (3, 6) start angle 1
• Filter 1: (5, 0) red
• Filter 2: (5, 3) green
• Filter 3: (5, 6) blue
• Target 1: (7, 0) red
• Target 2: (7, 3) green
• Target 3: (7, 6) blue
• Walls: (6,1), (6,2), (6,4), (6,5) — decorative

Red: (3,3)→up→(3,0). Mirror 1 → 0: up→right. (3,0)→right→(5,0) filter red→(7,0) ✓ Green: (3,3)→right→(5,3) filter green→(7,3) ✓ Blue: (3,3)→down→(3,6). Mirror 2 → 0: down→right. (3,6)→right→(5,6) filter blue→(7,6) ✓ Moves: 2, par: 6

This is the same as Level 6 but with filters. Not very different. Let me add a twist — make the beam need to go through a longer path.

Actually, let me just accept that some levels are similar and focus on making the game work. The important thing is that it's functional and fun. Let me finalize the levels:

For Level 8, let me add more mirrors to make it harder:

• Emitter: (0, 0) down, white
• Prism: (0, 3)
• Mirror 1: (3, 3) start angle 1 — for green beam going right
• Mirror 2: (3, 0) start angle 0 — for red beam going up... wait, red goes left from prism

Hmm, the prism at (0,3) with beam going down:

• straight (down) = green
• left turn = right (from down, left turn is east) = red
• right turn = left (from down, right turn is west) = blue

Wait, I need to recheck the prism direction logic:

• dir 1 (down): left turn = (1+3)%4 = 0 (right) = red, straight = 1 (down) = green, right turn = (1+1)%4 = 2 (left) = blue

So from prism at (0,3) going down:

• red goes right from (0,3)
• green goes down from (0,3)
• blue goes left from (0,3) — out of bounds!

That doesn't work. Let me put the prism in the middle.

OK, I'm spending too much time on level design. Let me just go with simple, working levels and make sure the code is correct. I'll use the levels I've designed above and fix the conflicting positions.

Let me now write the corrected LEVELS array and also fix a few code issues:

1. The mirror continue after reflection in the while loop — I need to make sure the segStart is properly set.
2. The conflicting positions in levels.
3. Make sure mirrors start at the "wrong" angle so players need to rotate them.

Let me also reconsider: in my current code, when a beam hits a mirror, I do:

The continue goes back to the top of the while loop. The next iteration computes:

This moves away from the mirror in the new direction. If the next cell is empty, cx and cy are updated and the loop continues. When the beam eventually hits something or goes out of bounds, a segment is recorded from segStart (mirror position) to the end. This is correct.

But there's a subtle issue: the beam segment from the mirror to the next cell is not recorded until the beam hits something. So if the beam goes from mirror at (4,3) up to (4,0) and hits a target, the segment is from (4,3) to (4,0). This is correct.

OK, I think the code logic is correct. Let me now fix the levels and update the file.

Actually, wait. I just realized there's another issue. In the while loop, after hitting a mirror and changing direction, the continue statement goes back to the while loop condition check (steps < GRID_SIZE * 2). But steps is not reset, so it continues counting. This is fine since we have a safety limit.

But there's another issue: after the mirror, the beam starts from the mirror cell. The next step moves to the adjacent cell. But what if the adjacent cell in the new direction is the cell the beam just came from? For example, if the beam goes right, hits a mirror ╱, and reflects down. The cell below the mirror is a new cell, not the one the beam came from. So this is fine.

But what about a beam going right, hitting a mirror ╲, and reflecting up? The cell above the mirror is a new cell. Fine.

What about a beam going right, hitting a mirror ╱, and reflecting down? The cell below is new. Fine.

OK, I think the logic is correct. Let me now fix the levels.

Let me also think about one more thing: the visited set. The key is "x,y,dir,color". When a beam hits a mirror at (4,3) going right, the new beam starts at (4,3) going up. The key is "4,3,3,white". If this beam later comes back to (4,3) going up with white color, it will be skipped. But can this happen? Only if there's a loop. The visited set prevents infinite loops, which is correct.

But there's a subtle issue: the initial beam from the emitter starts at the emitter position. The key includes the emitter position. If a reflected beam comes back to the emitter position with the same direction and color, it will be skipped. But the emitter is type T.EMITTER, and the beam would stop at the emitter anyway. So this is fine.

OK, let me now rewrite the levels. I'll replace the entire LEVELS array.

Actually, I realize I should also handle the case where the beam starts from the emitter. The emitter is at (ex, ey) with direction edir. The first beam in the queue is {x: ex, y: ey, dir: edir, color: ecolor}. The while loop starts with cx=ex, cy=ey, and steps to the next cell. The first segment starts from the emitter position. This is correct.

But wait, the emitter cell itself is type T.EMITTER. When the beam steps from the emitter, it moves to the next cell. The next cell is not the emitter, so it doesn't hit the emitter. Good.

But what if a reflected beam comes back to the emitter? The beam would step to the emitter cell, which is type T.EMITTER. The code checks for T.EMITTER and stops the beam. Good.

OK, I'm confident the code logic is correct. Let me now fix the levels.

Let me write a clean replacement for the LEVELS array. I'll also need to handle the fact that in some levels, I had mirrors and splitters at the same position. I'll remove the mirrors from those positions.

Here are my final 10 levels:

Wait, Level 9 has a mirror and splitter at the same position (0,3). Let me fix that.

Level 9: Convergence

• Emitter: (0, 7) going up (dir 3)
• Splitter at (0, 3) angle 0 (╱): up→ pass-through (up) + reflect (right)
  • Wait, angle 0 (╱): up(3) → left(2). That's the reflected direction.
  • Pass-through: up. Reflected: left. But left from (0,3) is out of bounds!
  • Let me use angle 1 (╲): up(3) → right(0). Reflected goes right.
  • Pass-through: up. Reflected: right.
• Pass-through: (0,3)→up→(0,0). Target at (0,0) ✓
• Reflected: (0,3)→right→(7,3). Mirror at (7,3) angle 1 (╲): right→up. (7,3)→up→(7,0). Target at (7,0) ✓
• But I also need a target at (7,7). Where does that beam come from?
• I need another beam path. Let me add more mirrors.
• Actually, the emitter goes up from (0,7). Before reaching the splitter at (0,3), the beam passes through (0,6), (0,5), (0,4).
• I could add a mirror at (0,5) to split off a beam going right, but then I'd need a splitter there instead.
• Or I could use the splitter at (0,3) and have the reflected beam go right, then bounce down to (7,7).
• Reflected: (0,3)→right→(7,3). Mirror at (7,3) → angle 0 (╱): right→down. (7,3)→down→(7,7). Target at (7,7) ✓
• But then I need another mirror to get a beam to (7,0).
• I need 2 mirrors at (7,3) — that's not possible. I need a splitter at (7,3).
• Or I can use a different path.

Let me redesign Level 9:

• Emitter: (0, 7) going up (dir 3)
• Splitter at (0, 4) angle 1 (╲): up→ pass-through (up) + reflect (right)
  • Pass-through: (0,4)→up→(0,0). Target at (0,0) ✓
  • Reflected: (0,4)→right→(7,4)
• Mirror at (7,4) angle 0 (╱): right→down. (7,4)→down→(7,7). Target at (7,7) ✓
• But I also need (7,0). I need another beam path.
• Let me add another splitter or mirror earlier in the path.
• Splitter at (0,5) angle 0 (╱): up→ pass-through (up) + reflect (left). But left is out of bounds.
• Splitter at (0,5) angle 1 (╲): up→ pass-through (up) + reflect (right).
  • Pass-through: (0,5)→up→(0,4) splitter...
  • This gets complicated with two splitters.

Let me try a different approach:

• Emitter: (0, 0) going right (dir 0)
• Splitter at (3, 0) angle 0 (╱): right→ pass-through (right) + reflect (down)
  • Pass-through: (3,0)→right→(7,0). Target at (7,0) ✓
  • Reflected: (3,0)→down→(3,7)
• Mirror at (3,7) angle 0 (╱): down→right. (3,7)→right→(7,7). Target at (7,7) ✓
• But I also need (0,7). I need another beam going down from the emitter.
• Let me use a different emitter direction or add another splitter.
• Splitter at (0, 3) angle 1 (╲): right→ pass-through (right) + reflect (up). But up from (0,3) goes to (0,0) which is the emitter.
  • Actually, the beam starts at the emitter (0,0) going right. It reaches (0,3) — but (0,3) is on the path. Wait, the emitter is at (0,0) going right, so the beam goes (0,0)→(1,0)→(2,0)→(3,0) etc. It doesn't pass through (0,3) because that's at y=3, not y=0.

I think I'm overcomplicating this. Let me use a simpler design for Level 9:

• Emitter: (0, 0) going right
• Splitter at (3, 0) angle 0 (╱): right→ pass-through (right) + reflect (down)
  • Pass-through: (3,0)→right→(7,0). Target at (7,0) ✓
  • Reflected: (3,0)→down→(3,7)
• Mirror at (3,7) angle 1 (╲): down→left. (3,7)→left→(0,7). Target at (0,7) ✓
• But I need a third target. Let me add another splitter.
• Splitter at (3, 4) angle 1 (╲): down→ pass-through (down) + reflect (right)
  • Wait, the reflected beam from the first splitter goes down from (3,0) to (3,7). It passes through (3,4).
  • If I put a splitter at (3,4), the beam hits it.
  • Splitter at (3,4) angle 1 (╲): down→ pass-through (down) + reflect (right)
    • Pass-through: (3,4)→down→(3,7). Mirror at (3,7) → left → (0,7) ✓
    • Reflected: (3,4)→right→(7,4). Target at (7,4) ✓
• So:
  • Emitter: (0, 0) right, white
  • Splitter 1: (3, 0) start angle 1 (╲)
  • Splitter 2: (3, 4) start angle 0 (╱)
  • Mirror: (3, 7) start angle 0 (╱)
  • Target 1: (7, 0) white
  • Target 2: (7, 4) white
  • Target 3: (0, 7) white
  • Walls: (5, 5), (2, 2)

Let me verify:

• Start: splitter 1 at angle 1 (╲): right→ pass-through (right) + reflect (up). Up from (3,0) goes to (3,-1) out of bounds. Pass-through goes right to (7,0) ✓ but reflected is lost.
• Player rotates splitter 1 to angle 0 (╱): right→ pass-through (right) + reflect (down).
  • Pass-through: (3,0)→right→(7,0) ✓
  • Reflected: (3,0)→down→(3,4)
• Splitter 2 at (3,4) start angle 0 (╱): down→ pass-through (down) + reflect (right).
  • Wait, angle 0 (╱): down(1) → right(0). That's the reflected direction.
  • Pass-through: down. Reflected: right.
  • Pass-through: (3,4)→down→(3,7)
  • Reflected: (3,4)→right→(7,4) ✓
• But splitter 2 starts at angle 0, which is already the correct angle. So no rotation needed.
  • Let me start it at angle 1 (╲): down→ pass-through (down) + reflect (left). Left from (3,4) goes to (2,4),(1,4),(0,4) — no target there.
  • Player rotates to angle 0 (╱): down→ pass-through (down) + reflect (right). ✓
• Mirror at (3,7) start angle 0 (╱): down→right. (3,7)→right→(7,7). But target is at (0,7), not (7,7)!
  • I need the mirror to reflect down→left: angle 1 (╲): down(1)→left(2). (3,7)→left→(0,7) ✓
  • Start at angle 0 (╱): down→right. (3,7)→right→(7,7) — no target. Rotate to 1.
• So:
  • Splitter 1: start 1, rotate to 0. (1 move)
  • Splitter 2: start 1, rotate to 0. (1 move)
  • Mirror: start 0, rotate to 1. (1 move)
  • Total: 3 moves, par: 10

Wait, but I need to check: when splitter 1 is at angle 1 (╲), the pass-through beam goes right to (7,0) and hits the target. So target 1 is already hit without any rotation. But the reflected beam goes up (out of bounds), so targets 2 and 3 are not hit. After rotating splitter 1 to 0, the reflected beam goes down and hits splitter 2.

But splitter 2 is at angle 1 (╲), so:

• Pass-through: down to (3,7)
• Reflected: left to (0,4) — no target

After rotating splitter 2 to 0 (╱):

• Pass-through: down to (3,7)
• Reflected: right to (7,4) ✓

Mirror at (3,7) is at angle 0 (╱): down→right to (7,7) — no target. After rotating to 1 (╲): down→left to (0,7) ✓

So the solution requires 3 moves: rotate splitter 1, splitter 2, and mirror. Par 10 seems too high. Let me set par to 5.

Actually, let me reconsider. The par should be close to the optimal solution to make 3 stars achievable but not trivial. If the optimal is 3 moves, par should be 3-4. Let me set par to 4.

But wait, I want this to be a harder level (level 9). Let me add more mirrors to make it require more moves.

Actually, let me just set reasonable pars and move on. The game doesn't need to be perfectly balanced — it needs to work.

Let me finalize all levels:

Level 9: Convergence

• Emitter: (0, 0) right, white
• Splitter 1: (3, 0) start angle 1
• Splitter 2: (3, 4) start angle 1
• Mirror: (3, 7) start angle 0
• Target 1: (7, 0) white
• Target 2: (7, 4) white
• Target 3: (0, 7) white
• Walls: (5, 5), (2, 2)
• Solution: 3 moves, par: 6

Level 10: Prism Master

• Emitter: (0, 4) right, white
• Prism: (3, 4) — splits into red (up), green (right), blue (down)
• Mirror 1: (3, 0) start angle 1 — for red beam
• Mirror 2: (3, 7) start angle 1 — for blue beam
• Mirror 3: (5, 0) start angle 0 — for red beam
• Mirror 4: (5, 7) start angle 0 — for blue beam
• Filter 1: (6, 0) red
• Filter 2: (6, 4) green
• Filter 3: (6, 7) blue
• Target 1: (7, 0) red
• Target 2: (7, 4) green
• Target 3: (7, 7) blue
• Walls: (1, 2), (1, 6), (5, 2), (5, 5)

Let me verify Level 10:

• Prism at (3,4) splits white going right into:
  • red (up), green (right), blue (down)
• Red: (3,4)→up→(3,0). Mirror 1 at (3,0) start angle 1 (╲): up→right. Wait, angle 1 (╲): up(3)→right(0). That's already correct!
  • I need to start at angle 0 (╱): up(3)→left(2). (3,0)→left→(2,0),(1,0),(0,0) — no target.
  • Player rotates to 1 (╲): up→right. (3,0)→right→(5,0).
  • Mirror 3 at (5,0) start angle 0 (╱): right→down. (5,0)→down→(5,7)? That goes too far.
  • I need mirror 3 to pass the beam right, but mirrors always reflect.
  • Actually, I don't need mirror 3. The red beam goes from (3,0) right to (6,0) filter red to (7,0) ✓
  • But I have a wall at (5,2), not (5,0). So the beam can pass through (5,0).
  • Wait, but I put mirror 3 at (5,0). If I remove it, the beam goes straight from (3,0) to (6,0) to (7,0).
  • Let me remove mirrors 3 and 4.

Revised Level 10:

• Emitter: (0, 4) right, white
• Prism: (3, 4)
• Mirror 1: (3, 0) start angle 0 — for red beam
• Mirror 2: (3, 7) start angle 0 — for blue beam
• Filter 1: (6, 0) red
• Filter 2: (6, 4) green
• Filter 3: (6, 7) blue
• Target 1: (7, 0) red
• Target 2: (7, 4) green
• Target 3: (7, 7) blue
• Walls: (5, 1), (5, 2), (5, 5), (5, 6)

Verify:

• Red: (3,4)→up→(3,0). Mirror 1 start angle 0 (╱): up→left. Wrong. Rotate to 1 (╲): up→right. (3,0)→right→(5,0)→(6,0) filter red→(7,0) ✓
  • Wait, is there a wall at (5,0)? I have walls at (5,1), (5,2), (5,5), (5,6). No wall at (5,0). ✓
• Green: (3,4)→right→(5,4)→(6,4) filter green→(7,4) ✓
  • Is there a wall at (5,4)? No. ✓
• Blue: (3,4)→down→(3,7). Mirror 2 start angle 0 (╱): down→right. (3,7)→right→(5,7)→(6,7) filter blue→(7,7) ✓
  • Is there a wall at (5,7)? No, walls are at (5,5) and (5,6). ✓
• Moves: 2 (rotate mirror 1 and mirror 2). Par: 12 is too high. Let me set par to 4.

Hmm, 2 moves for the final level is too easy. Let me add more mirrors to make it harder.

Let me add mirrors that need to be rotated to route the beams around walls:

• Emitter: (0, 4) right, white
• Prism: (2, 4)
• Mirror 1: (2, 1) start angle 0 — for red beam (up from prism, then needs to go right)
• Mirror 2: (5, 1) start angle 1 — for red beam (needs to go down)
• Mirror 3: (5, 3) start angle 0 — for red beam (needs to go right)
• Mirror 4: (2, 7) start angle 0 — for blue beam (down from prism, then needs to go right)
• Filter 1: (6, 3) red
• Filter 2: (6, 4) green
• Filter 3: (6, 5) blue
• Target 1: (7, 3) red
• Target 2: (7, 4) green
• Target 3: (7, 5) blue
• Walls: (4, 0), (4, 1), (4, 2), (4, 3), (4, 5), (4, 6), (4, 7)

Prism at (2,4) splits white going right into:

• red (up), green (right), blue (down)

Red: (2,4)→up→(2,1). Mirror 1 at (2,1) → angle 1 (╲): up→right. (2,1)→right→(4,1) wall! Blocked.

• Need to route around wall. (2,1)→right is blocked at (4,1).
• Mirror 1 → angle 0 (╱): up→left. (2,1)→left→(0,1) out of bounds. Not useful.
• Hmm, the walls at (4,0)-(4,3) block the red beam from going right.
• I need the red beam to go above or below the wall.
• But the wall covers y=0 to y=3 at x=4. The red beam is at y=1, which is blocked.
• Let me change the wall to only cover y=1 to y=2:
  • Walls: (4, 1), (4, 2), (4, 5), (4, 6)
• Red beam at y=1 is still blocked by (4,1).
• Let me route the red beam to y=0: Mirror 1 at (2,1) → angle 0 (╱): up→left. No, I need up→right.
• Actually, ╱ for up(3) gives left(2). ╲ for up(3) gives right(0). So I need ╲ (angle 1).
• But the beam at y=1 going right hits the wall at (4,1).
• I need to route it up to y=0 first, then right.
• Mirror 1 at (2,1) → angle 0 (╱): up→left. Not useful.
• I need another mirror above. Mirror at (2,0) → angle 0 (╱): up→left. Not useful either.

OK this is getting way too complicated. Let me just go with simple levels and accept that some levels are easier than others. The key priority is that the game works correctly.

Let me finalize with these levels:

Level 10: Prism Master

• Emitter: (0, 4) right, white
• Prism: (3, 4)
• Mirror 1: (3, 0) start angle 0
• Mirror 2: (3, 7) start angle 0
• Mirror 3: (5, 0) start angle 1
• Mirror 4: (5, 7) start angle 1
• Filter 1: (6, 3) red
• Filter 2: (6, 4) green
• Filter 3: (6, 5) blue
• Target 1: (7, 3) red
• Target 2: (7, 4) green
• Target 3: (7, 5) blue
• Walls: (5, 1), (5, 2), (5, 4), (5, 6)

Wait, I need to think about this more carefully. Let me trace through:

Prism at (3,4) splits white going right into:

• red (up), green (right), blue (down)

Red: (3,4)→up→(3,0). Mirror 1 at (3,0) start angle 0 (╱): up→left. (3,0)→left→(0,0) out of bounds. Wrong.

• Rotate to 1 (╲): up→right. (3,0)→right→(5,0). Mirror 3 at (5,0) start angle 1 (╲): right→up. (5,0)→up→(5,-1) out of bounds. Wrong.
• Rotate to 0 (╱): right→down. (5,0)→down→(5,1) wall! Blocked.
• Hmm, wall at (5,1) blocks the path.
• Let me remove the wall at (5,1).
• (5,0)→down→(5,3). Then I need the beam to go right to (6,3) filter red to (7,3).
• But there's no mirror at (5,3) to reflect down→right. The beam continues down to (5,7).
• I need a mirror at (5,3). But I already have mirror 4 at (5,7).

This is really getting too complicated. Let me simplify drastically.

Level 10: Prism Master

• Emitter: (0, 3) right, white
• Prism: (3, 3)
• Mirror 1: (3, 0) start angle 0
• Mirror 2: (3, 6) start angle 0
• Mirror 3: (5, 0) start angle 0
• Mirror 4: (5, 6) start angle 0
• Filter 1: (6, 0) red
• Filter 2: (6, 3) green
• Filter 3: (6, 6) blue
• Target 1: (7, 0) red
• Target 2: (7, 3) green
• Target 3: (7, 6) blue
• Walls: (5, 1), (5, 2), (5, 4), (5, 5)

Trace:

• Red: (3,3)→up→(3,0). Mirror 1 start 0 (╱): up→left. Wrong. Rotate to 1 (╲): up→right. (3,0)→right→(5,0). Mirror 3 start 0 (╱): right→down. (5,0)→down→(5,1) wall! Blocked.
  • Rotate mirror 3 to 1 (╲): right→up. (5,0)→up→(5,-1) out of bounds. Wrong.
  • Neither angle works for mirror 3 because the wall blocks down and up is out of bounds.
  • I need to remove the wall at (5,1) or move mirror 3.

OK, I'm going to take a completely different approach. Let me remove the extra mirrors and walls from Level 10 and just make it a straightforward prism + filter level with 2 mirrors:

Level 10: Prism Master

• Emitter: (0, 3) right, white
• Prism: (3, 3)
• Mirror 1: (3, 0) start angle 0
• Mirror 2: (3, 6) start angle 0
• Filter 1: (5, 0) red
• Filter 2: (5, 3) green
• Filter 3: (5, 6) blue
• Target 1: (7, 0) red
• Target 2: (7, 3) green
• Target 3: (7, 6) blue
• Walls: (6, 1), (6, 2), (6, 4), (6, 5)

Trace:

• Red: (3,3)→up→(3,0). Mirror 1 start 0 (╱): up→left. Rotate to 1 (╲): up→right. (3,0)→right→(5,0) filter red→(6,0)→(7,0) ✓
• Green: (3,3)→right→(5,3) filter green→(6,3)→(7,3) ✓
• Blue: (3,3)→down→(3,6). Mirror 2 start 0 (╱): down→right. Wait, angle 0 (╱): down(1)→right(0). That's already correct!
  • Start at angle 1 (╲): down(1)→left(2). (3,6)→left→(0,6) out of bounds. Rotate to 0 (╱): down→right. (3,6)→right→(5,6) filter blue→(7,6) ✓
• Moves: 2, par: 4

This is too easy for the final level. But at least it works. Let me add more mirrors to make it harder.

Actually, you know what, let me just add 2 more mirrors that need to be rotated, even if they're not strictly necessary for the solution. They can be "decoy" mirrors that the player needs to figure out aren't needed, or they can be part of the solution path.

Or better yet, let me make the beam path longer by routing it through more mirrors:

Level 10: Prism Master

• Emitter: (0, 0) down, white
• Prism: (0, 3) — splits going down into: green(down), red(right), blue(left)
  • Wait, blue goes left from (0,3) which is out of bounds. Bad.
  • dir 1 (down): left turn = (1+3)%4 = 0 (right) = red, straight = 1 (down) = green, right turn = (1+1)%4 = 2 (left) = blue
  • Blue goes left — out of bounds at x=0. Bad.

Let me put the prism in the center:

• Emitter: (0, 3) right, white
• Prism: (2, 3) — splits going right into: green(right), red(up), blue(down)
• Red: (2,3)→up→(2,0). Mirror at (2,0) → right → (5,0). Mirror at (5,0) → down → (5,3). But that's where the green beam is.
  • This creates conflicts. Let me use different paths.

OK I'm going to stop overthinking this and just go with working levels. Here's my final attempt:

Level 10: Prism Master

• Emitter: (0, 3) right, white
• Prism: (2, 3)
• Mirror 1: (2, 0) start angle 0 — red beam: up→right
• Mirror 2: (2, 6) start angle 0 — blue beam: down→right
• Mirror 3: (5, 0) start angle 1 — red beam: right→down
• Mirror 4: (5, 3) start angle 0 — red beam: down→right... wait, but green beam also passes through (5,3)?

No, the green beam goes from (2,3) right to (7,3). It passes through (5,3). If I put a mirror at (5,3), the green beam would be reflected. That's a conflict.

Let me put mirror 3 at (5,0) and mirror 4 at (5,6) instead:

• Mirror 3: (5, 0) start angle 1 — red beam: right→up (wrong, goes out of bounds). Start at 0: right→down. (5,0)→down→(5,3). But green beam passes through (5,3). The red beam going down would hit (5,3) which is empty (no mirror there if I don't put one). So the red beam continues down to (5,6) where mirror 4 is.
  • Mirror 4: (5, 6) start angle 0 — red beam: down→right. (5,6)→right→(7,6). But target at (7,6) is blue, not red. The red beam would hit the blue target but the color doesn't match, so it doesn't count.
  • This doesn't work.

I think the issue is that I'm trying to make the red and blue beams cross paths, which creates conflicts. Let me keep them separate:

Level 10: Prism Master

• Emitter: (0, 3) right, white
• Prism: (2, 3)
• Mirror 1: (2, 0) start angle 0 — red: up→right
• Mirror 2: (2, 6) start angle 0 — blue: down→right
• Mirror 3: (4, 0) start angle 1 — red: right→up (wrong). Start at 0: right→down. (4,0)→down→(4,2). No target there.
  • This doesn't help.

OK, I give up trying to make Level 10 complex. Let me just make it a simple prism + filter level with 4 mirrors (2 for red, 2 for blue):

Level 10: Prism Master

• Emitter: (0, 0) right, white
• Prism: (3, 0) — splits going right into: green(right), red(down), blue(up)
  • dir 0 (right): left turn = (0+3)%4 = 3 (up) = red, straight = 0 (right) = green, right turn = (0+1)%4 = 1 (down) = blue
  • Wait, I defined: left turn = red, straight = green, right turn = blue
  • So: red goes up, green goes right, blue goes down
• Red: (3,0)→up→(3,-1) out of bounds! Bad.

Let me use:

• Emitter: (0, 4) right, white
• Prism: (3, 4) — splits going right into: red(up), green(right), blue(down)
• Red: (3,4)→up→(3,0). Mirror 1 at (3,0) → 1(╲): up→right. (3,0)→right→(6,0) filter red→(7,0) target red ✓
• Green: (3,4)→right→(6,4) filter green→(7,4) target green ✓
• Blue: (3,4)→down→(3,7). Mirror 2 at (3,7) → 0(╱): down→right. (3,7)→right→(6,7) filter blue→(7,7) target blue ✓
• Start mirrors at wrong angle:
  • Mirror 1: start 0 (╱): up→left. Rotate to 1.
  • Mirror 2: start 1 (╲): down→left. Rotate to 0.
• Moves: 2, par: 4

This is the same as Level 6/8. Let me add 2 more mirrors to make it 4 moves:

• Add Mirror 3 at (5, 0) start angle 0 (╱): right→down. This would redirect the red beam downward.
  • But I don't want that. I want the red beam to go straight to the filter.
  • Unless I make the path require going through mirror 3.
  • Let me add a wall at (5, 0) to block the direct path, and route through mirrors.
  • Wall at (5,0): red beam going right from (3,0) hits wall at (5,0). Need to route around.
  • Mirror 3 at (4, 0) start 1 (╲): right→up. Out of bounds. Bad.
  • Mirror 3 at (4, 0) start 0 (╱): right→down. (4,0)→down→(4,3). Mirror 4 at (4,3) start 1 (╲): down→left. (4,3)→left→(0,3). No target. Bad.
  • Mirror 4 at (4,3) start 0 (╱): down→right. (4,3)→right→(6,3). No filter there.

This is endless. Let me just go with 2 mirrors for Level 10 and set par to 4. The game will still be fun with 10 levels of varying difficulty.

OK, final decision. Here are my 10 levels

I need to rewrite the LEVELS array with correct, solvable levels. Let me find the exact lines for the LEVELS array and replace it.