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R123 · Breadth-first flood fill spreading through a region

blind round 8/11 local models answered

Every answer below carries the name of the model that wrote it. Blind refers to the scoring: the review was done without knowing which model produced which answer — the published result names them.

2 of the 11 local models delivered nothing through our test harness in this round — for reasons that lie with our setup, not with the models. Those cards are marked DNF like any other, but they are not evidence about those models — the reason is noted on the card itself.

Show task
Create ONE self-contained HTML file (STRICT LIMIT: max 7000 characters in total — this is a budget on characters, not on lines, so removing line breaks does not help) that animates a breadth-first flood fill on a <canvas>: an irregular region made of open and blocked cells on a grid, starting from one seed cell, expand ring by ring to every reachable open cell, coloring cells by their distance in steps from the seed, so the wavefront visibly spreads outward and stops at the boundaries. Restart with a freshly generated region and seed when finished. Show the current step number and the number of cells filled. Smooth requestAnimationFrame animation, NO user input, starts immediately and keeps running (restart with a fresh random instance when finished). No external libraries, no comments needed. Output ONLY the HTML file content, nothing else.

The answers

Local models (Brain cluster) — identical prompt, shuffled order (the sequence is not a ranking)
llama3.1:8bSTATFORMAT
Show code
```html
<canvas id="c" width="600" height="400"></canvas>
<script>
  const canvas = document.getElementById('c');
  const ctx = canvas.getContext('2d');

  function rand(x) {
    return Math.floor(Math.random() * x);
  }

  function rect(w, h, x, y, c) {
    ctx.fillStyle = c;
    ctx.fillRect(x, y, w, h);
  }
  function fill(c, r) {
    for (let y = 0; y < r.length; y++) {
      for (let x = 0; x < r[y].length; x++) if (r[y][x] == c) {
        rect(20, 20, x * 20 + 1, y * 20 + 1, '#000');
        r[y][x] = -c;
        if (y > 0 && r[y-1][x] != c) floodfill(r, y-1, x);
        if (y < r.length-1 && r[y+1][x] != c) floodfill(r, y+1, x);
        if (x > 0 && r[y][x-1] != c) floodfill(r, y, x-1);
        if (x < r[y].length-1 && r[y][x+1] != c) floodfill(r, y, x+1);
      }
    }
  }

  function floodfill(grid, y0, x0) {
    const queue = [[y0, x0]];
    const steps = new Array(grid.length);
    for (let y = 0; y < grid.length; y++) steps[y] = new Array(grid[0].length).fill(-1);
    let step = 0;
    while (queue.length) {
      const h = queue.shift();
      if (steps[h[0]][h[1]] == -1 || steps[h[0]][h[1]] < step) {
        grid[h[0]][h[1]] = step++;
        for (let y = 0; y < grid.length; y++) {
          for (let x = 0; x < grid[y].length; x++)
            if (y == h[0] && x <= x0 || x == h[1] && y <= y0) continue;
            else if ((grid[y][x] != -step-10 || steps[y][x] > step-10) && grid[y][x] >= 0)
              queue.push([y, x]);
        }
      } else {
        for (let i = 0; i < queue.length; i++) {
          const q = queue[i];
          if (q[0] == h[0] && q[1] == h[1]) queue.splice(i--, 1);
        }
      }
    }
  }

  function draw() {
    ctx.fillStyle = '#fff';
    ctx.fillRect(0, 0, canvas.width, canvas.height);
    fill(-10, grid);

    const a = step / grid.length;
    const b = (step-1) % grid[0].length + 1;

    ctx.font = '16px Arial';
    ctx.fillStyle = '#000';
    ctx.textAlign = 'left';
    ctx.textBaseline = 'top';

    ctx.fillText(`${step}/${grid.length} ${b}/${grid[0].length}`, 10, 20);
    ctx.fillText(`Filled: ${filled}`, canvas.width - 200, 20);

    if (step == grid.length * grid[0].length) {
      const newGrid = [];
      for (let y = 0; y < grid.length; y++) {
        const row = [];
        for (let x = 0; x < grid[y].length; x++)
          row.push(rand(2));
        newGrid.push(row);
      }
      fill(-10, newGrid);
      filled = 0;
      step = 0;
    } else requestAnimationFrame(draw);
  }

  const grid = [];
  for (let y = 0; y < 30; y++) {
    const row = [];
    for (let x = 0; x < 40; x++)
      row.push(rand(2));
    grid.push(row);
  }
  fill(-10, grid);
  let step = 0;
  let filled = 0;

  requestAnimationFrame(draw);
</script>
```
qwen3-coder:30bERRBLANKMINIFIEDFORMAT
Show code
```html
<!DOCTYPE html>
<html>
<head><title>BFS Flood Fill Animation</title></head>
<body><canvas id="c"></canvas><script>const c=document.getElementById("c");const ctx=c.getContext("2d");let W=400,H=400;ctx.canvas.width=W;ctx.canvas.height=H;let GRID_SIZE=15;let STEP=0;let CELLS_FILLED=0;let Grid=[];let Dist=[]=[];let Q=[];function setupGrid(){for(let y=0;y<GRID_SIZE;y++){for(let x=0;x<GRID_SIZE;x++){Grid[y][x]=Math.random()<0.4?1:0;}Dist[y][x]=-1;}}function initState(){if(!Grid)Grid=Array(GRID_SIZE).fill(0).map(()=>Array(GRID_SIZE));if(!Dist)Dist=Array(GRID_SIZE).fill(0).map(()=>Array(GRID_SIZE)).fill(-1);Q=[];STEP=0;CELLS_FILLED=0;}}function randomRegion(){let G=Array(GRID_SIZE).fill(0).map(()=>Array(GRID_SIZE));for(let y=0;y<GRID_SIZE;y++){for(let x=0;x<GRID_SIZE;x++){G[y][x]=Math.random()<0.3?1:0;}}return G}function setup(){Grid=randomRegion();Dist=Array(GRID_SIZE).fill(0).map(()=>Array(GRID_SIZE)).fill(-1);Q=[];if(Grid[Math.floor(GRID_SIZE/2)][Math.floor(GRID_SIZE/2)]===1){Dist[Math.floor(GRID_SIZE/2)][Math.floor(GRID_SIZE/2)]=0;Q.push([Math.floor(GRID_SIZE/2), Math.floor(GRID_SIZE/2)]);}}function draw(){ctx.clearRect(0,0,W,H);for(let y=0;y<GRID_SIZE;y++){for(let x=0;x<GRID_SIZE;x++){let color="#333";if(!Grid[y][x]){color="#aaa";}else if(Dist[y][x]===0){color="rgba(255,165,0,0.8)";}else if(Dist[y][x]>-1){//Distance based coloring: Blue (near) -> Red (far) let d=Dist[y][x];let maxD=GRID_SIZE;let ratio=Math.min(d/maxD,1);color=`rgba(${255*ratio},${Math.floor}(200*(1-ratio))},0,${1-ratio})`;}ctx.fillStyle=color;ctx.fillRect(x*30,(y+0.5)*30,30,30);} }let info=`Step: ${STEP}<br>Filled Cells: ${CELLS_FILLED}`;ctx.font="20px Arial";ctx.fillStyle="#fff";ctx.fillText(info,10,30);drawStatus=`${Math.max(0,1-Math.min(GRID_SIZE/2, Math.sqrt(CELLS_FILLED)/3)) * 100}%`;}function stepBFS(){if(Q.length===0){console.log("Finished.");return false;}let [cy,cx]=Q.shift();let d=Dist[cy][cx];let pushed=false;for(let dy=[-1,0,1]){for(let dx=[-1,0,1]){if(dy*dx===0&&dy!==0&&dx!==0)continue;let ny=cy+dy;let nx=cx+dx;if(ny>=0&&ny<GRID_SIZE&&nx>=0&&nx<GRID_SIZE&&Grid[ny][nx]===1&&Dist[ny][nx]==-1){Dist[ny][nx]=d+1;Q.push([ny,nx]);CELLS_FILLED++;pushed=true;}}}return true}function loop(){if(stepBFS()){draw();STEP++;requestAnimationFrame(loop);}else{setup();/* If finished, reset and start new cycle */}}initState();setup();requestAnimationFrame(loop());</script></body></html>
```
qwen3.5:9bSTATFORMAT
Show code
```html
<!DOCTYPE html>
<html lang="en">
<head>
    <title>BFS Flood Fill Animation</title>
    <style>
        body { background: #111; display: flex; justify-content: center; align-items: center; min-height: 100vh; margin: 0; font-family: monospace; color: white; }
        canvas { border: 2px solid #333; image-rendering: pixelated; }
    </style>
</head>
<body>
    <canvas id="canvas"></canvas>
    <script>
        const canvas = document.getElementById('canvas');
        const ctx = canvas.getContext('2d');

        let COLS = 60;
        let ROWS = 40;
        let CELL_SIZE = 10;

        canvas.width = COLS * CELL_SIZE;
        canvas.height = ROWS * CELL_SIZE;

        let grid = [];
        let distanceMap = [];
        let isRunning = false;
        let stepCount = 0;
        let filledCells = 0;
        let totalReachable = 0;
        let queue = [];

        function initGrid() {
            grid = Array(ROWS).fill(0).map(() => Array(COLS).fill(Math.random() < 0.3)); // True=Blocked, False=Open
            distanceMap = Array(ROWS).fill(0).map(() => Array(COLS).fill(-1));
            queue = [];
            stepCount = 0;
            filledCells = 0;

            // Find a random seed cell (must be open)
            let startX, startY;
            do {
                startX = Math.floor(Math.random() * COLS);
                startY = Math.floor(Math.random() * ROWS);
            } while (!grid[startY][startX] && !grid[startY][startX]); // Ensure open cell

            // Initialize BFS state
            distanceMap.forEach(row => row.fill(-1));
            distanceMap[startY][startX] = 0;
            queue.push({x: startX, y: startY});
            totalReachable = 0;
        }

        function drawGrid() {
            ctx.clearRect(0, 0, canvas.width, canvas.height);
            for (let r = 0; r < ROWS; r++) {
                for (let c = 0; c < COLS; c++) {
                    if (grid[r][c]) {
                        ctx.fillStyle = '#1a1a1a'; // Blocked
                        ctx.fillRect(c * CELL_SIZE, r * CELL_SIZE, CELL_SIZE, CELL_SIZE);
                    } else if (distanceMap[r][c] === -1) {
                         // Unvisited open cells remain empty/dark
                    } else {
                        const d = distanceMap[r][c];
                        let color;
                        if (d === 0) {
                            color = '#4CAF50'; // Seed start
                        } else if (d > 0 && d < 10) {
                             // Use a gradient based on distance, cycling through colors for visibility
                            const hue = ((d * 360 / 10) % 360);
                            color = `hsl(${hue}, 80%, ${Math.min(70, d * 5)}%)`;
                        } else {
                             color = '#2c3e50'; // Default filled color fallback
                        }
                        ctx.fillStyle = color;
                        ctx.fillRect(c * CELL_SIZE, r * CELL_SIZE, CELL_SIZE, CELL_SIZE);
                    }
                }
            }
        }

        function animate() {
            if (!isRunning || queue.length === 0) {
                drawGrid(); // Draw final state
                document.getElementById('info').innerHTML = `Finished! Total Cells: ${filledCells}/${totalReachable}<br>Click to restart.`;
                return;
            }

            const currentLayerSize = queue.length;
            let nextQueue = [];
            let newFillsCount = 0;

            // Process the entire current layer (BFS step)
            for (let i = 0; i < currentLayerSize; i++) {
                const cell = queue[i];
                const r = cell.y;
                const c = cell.x;

                // Check neighbors (N, S, E, W)
                const directions = [[0, 1], [0, -1], [1, 0], [-1, 0]];

                for (const [dr, dc] of directions) {
                    let nr = r + dr;
                    let nc = c + dc;

                    // Boundary and blockage checks
                    if (nr >= 0 && nr < ROWS && nc >= 0 && nc < COLS && !grid[nr][nc]) {
                        // Check if cell is unvisited (-1)
                        if (distanceMap[nr][nc] === -1) {
                            // Found a new cell for the next layer
                            distanceMap[nr][nc] = distanceMap[r][c] + 1;
                            nextQueue.push({x: nc, y: nr});
                            newFillsCount++;
                        }
                    }
                }
            }

            // Update global state for the next step
            queue = nextQueue;
            stepCount++;
            filledCells += newFillsCount;

            drawGrid();

            document.getElementById('info').innerHTML = `Step: ${stepCount}<br>Filled Cells: ${Math.min(filledCells, totalReachable)} / ${totalReachable}`;

            if (queue.length > 0) {
                requestAnimationFrame(animate);
            } else if (filledCells < totalReachable && queue.length === 0) {
                 // Edge case check: If we have filled some cells but the BFS stopped prematurely (shouldn't happen with correct logic, but safety first)
                 drawGrid();
                 document.getElementById('info').innerHTML = `Finished! No more reachable open cells found. Total Cells: ${filledCells}/${totalReachable}`;
            } else if (filledCells >= totalReachable && filledCells > 0) {
                // All done
                requestAnimationFrame(animate); // Run one last time to stop the loop gracefully
            }
        }

        function startSimulation() {
            if (isRunning) return;
            initGrid();
            document.getElementById('info').innerHTML = `Starting Flood Fill...`;
            isRunning = true;
            // The first call will draw the initial state and then queue up the animation steps
            animate(); 
        }

        window.onload = () => {
             const infoDiv = document.createElement('div');
             infoDiv.id = 'info';
             infoDiv.style.marginLeft = '20px';
             document.body.appendChild(infoDiv);
             startSimulation();
        };
    </script>
</body>
</html>
```
qwen3:8bharness
No answer reached us (ERR) — and the reason lies with our setup, not with the model: reasoning consumed the entire token budget and the answer stayed empty; the gateway rejects budgets above 3000 tokens Counted as a did-not-finish, but it is not evidence about this model.
qwen3:14bERRBLANKFORMAT
Show code
```html
<!DOCTYPE html>
<html>
<head>
<title>BFS Flood Fill Animation</title>
<style>
body {margin:0;overflow:hidden;background:#111;}#canvas {display:block;border:1px solid #333;}#info {position:absolute;color:#fff;font-family:monospace;padding:10px;background:rgba(0,0,0,0.6);z-index:10;}
</style>
</head>
<body>

<canvas id="canvas"></canvas>
<div id="info">Step: 0 | Filled: 0 / 0</div>

<script>
const canvas = document.getElementById('canvas');
const ctx = canvas.getContext('2d');
let WIDTH, HEIGHT, GRID_SIZE;

// Configuration constants
const CELL_SIZE = 10;
const MAX_FILLS = 500; // Max number of cells to fill before restart chance
const INITIAL_REGION_DENSITY = 0.4; 

// State variables
let grid = [];
let distances = [];
let queue = [];
let filledCount = 0;
let totalReachableCells = 0;
let isRunning = true;

function setupCanvas() {
    WIDTH = Math.floor(window.innerWidth);
    HEIGHT = Math.floor(window.innerHeight);
    canvas.width = WIDTH;
    canvas.height = HEIGHT - 30; // Reserve space for info panel
}

// Generates a random, irregular region of open/blocked cells (1=open, 0=blocked)
function generateGrid() {
    grid = [];
    distances = Array(WIDTH / CELL_SIZE).fill(null).map(() => Array(HEIGHT / CELL_SIZE).fill(-1));
    const cols = Math.floor(WIDTH / CELL_SIZE);
    const rows = Math.floor(HEIGHT / CELL_SIZE);

    grid = [];
    for (let r = 0; r < rows; r++) {
        grid[r] = [];
        for (let c = 0; c < cols; c++) {
            // Simple randomization for irregular regions
            grid[r][c] = Math.random() < INITIAL_REGION_DENSITY ? 1 : 0; 
        }
    }

    // Find a random open starting point (seed)
    let startX, startY;
    do {
        startX = Math.floor(Math.random() * cols);
        startY = Math.floor(Math.random() * rows);
    } while (grid[startY][startX] === 0 || (cols > 1 && Math.abs(startX-Math.floor(cols/2)) < 3 && Math.abs(startY-Math.floor(rows/2)) < 3) );

    // Reset state for BFS
    queue = [];
    filledCount = 0;
    totalReachableCells = 0;
    
    distances.forEach(row => row.fill(-1)); // Clear distances array

    // Initialize seed distance (Distance 1, representing the first step)
    distances[startY][startX] = 1;
    queue.push({r: startY, c: startX});
}

function drawGrid() {
    ctx.clearRect(0, 0, WIDTH, HEIGHT - 30);
    const rows = Math.floor((HEIGHT - 30) / CELL_SIZE);
    const cols = Math.floor(WIDTH / CELL_SIZE);

    for (let r = 0; r < rows; r++) {
        for (let c = 0; c < cols; c++) {
            const x = c * CELL_SIZE;
            const y = r * CELL_SIZE;
            
            // Draw background based on cell type
            if (grid[r][c] === 0) {
                ctx.fillStyle = '#222'; // Blocked
            } else {
                ctx.fillStyle = '#1a1a1a'; // Open background
            }
            ctx.fillRect(x, y, CELL_SIZE, CELL_SIZE);

            // Draw distance/color overlay
            const dist = distances[r][c];
            if (dist > 0) {
                let color;
                if (dist === 1) color = '#38a'; // Seed/Start
                else if (dist <= 5) color = `hsl(${240 - dist * 20}, 90%, ${Math.min(70, 60 + Math.floor(dist*5))}%)`; // Blueish gradient
                else color = '#666'; // Farther away/late stages
                
                ctx.fillStyle = color;
                ctx.fillRect(x, y, CELL_SIZE, CELL_SIZE);

                // Draw border for separation
                ctx.strokeStyle = 'rgba(255, 255, 255, 0.05)';
                ctx.strokeRect(x, y, CELL_SIZE, CELL_SIZE);
            } else if (grid[r][c] === 1 && dist === -1) {
                 // Unreached open cells remain dark
            }
        }
    }

    // Update Info Panel
    const infoDiv = document.getElementById('info');
    let totalTarget = 0;
    for (let r=0; r < Math.floor((HEIGHT-30)/CELL_SIZE); r++) {
        for (let c=0; c < Math.floor(WIDTH/CELL_SIZE); c++) {
            if (grid[r][c] === 1) totalTarget++;
        }
    }

    infoDiv.innerHTML = `Step: ${Math.max(0, Math.min(25, Math.round(filledCount / 30)))} | Filled: ${filledCount} / ${totalTarget}`;
}

function bfsStep() {
    if (queue.length === 0) {
        // End condition reached
        setInterval(() => {
            generateGrid();
            requestAnimationFrame(animate);
        }, 1500); // Wait 1.5 seconds before restarting animation
        return;
    }

    const current = queue.shift();
    const r = current.r;
    const c = current.c;
    const dist = distances[r][c];

    // Check neighbors (N, S, E, W)
    const directions = [[0, 1], [0, -1], [1, 0], [-1, 0]];

    for (const [dr, dc] of directions) {
        let nr = r + dr;
        let nc = c + dc;

        // Boundary checks
        if (nr >= 0 && nr < Math.floor((canvas.height - 30) / CELL_SIZE) &&
            nc >= 0 && nc < Math.floor(canvas.width / CELL_SIZE)) {

            // Check if it's open, unvisited, and not already filled/blocked
            if (grid[nr][nc] === 1 && distances[nr][nc] === -1) {
                distances[nr][nc] = dist + 1;
                queue.push({r: nr, c: nc});
                filledCount++;
            }
        }
    }

    drawGrid();
}

function animate() {
    if (isRunning && filledCount < totalReachableCells) {
        bfsStep();
        requestAnimationFrame(animate);
    } else if (filledCount >= 0) {
         // Optimization: If we hit the max fills, trigger restart early for dramatic effect
         if (Math.random() > 0.95 && filledCount < totalReachableCells * 0.8) {
             generateGrid();
             requestAnimationFrame(animate);
         } else if (filledCount >= totalReachableCells - 1) {
            // Finished filling the region
            setTimeout(() => {
                generateGrid();
                requestAnimationFrame(animate);
            }, 1500);
        }
    }
}

// --- Initialization ---
window.addEventListener('resize', () => {
    setupCanvas();
    drawGrid(); // Redraw on resize
});

function init() {
    setupCanvas();
    generateGrid();
    requestAnimationFrame(animate);
}

init();
</script>
</body>
</html>
```
gemma4:26bharness
No answer reached us (TIMEOUT) — and the reason lies with our setup, not with the model: reasoning consumed the entire token budget (3 min 28 s, zero characters of answer); larger budgets are refused by the gateway Counted as a did-not-finish, but it is not evidence about this model.
deepseek-r1:14bERRBLANKMINIFIEDFORMAT
Show code
```html
<!DOCTYPE html>
<html><body style="background:#111;margin:0;display:flex;flex-direction:column;align-items:center;">
<canvas id=c width=600 height=400></canvas>
<div id=s>Step: 0</div>
<div id=f>Filled: 0</div>
<style>canvas{border:solid #fff 1px;margin:20px}</style>
<script>
const c=document.getElementById('c'),s=document.getElementById('s'),f=document.getElementById('f');
const ctx=c.getContext('2d');let w=600,h=400,sx=500,cellSize=Math.floor(Math.min(w/149,h/83));
const grid=Array(149).fill().map(_=>Array(83).fill()),queue=[],dist=new Map(),currentCellIndex=-1,totalCells=0;
function createGrid(){totalCells=0;grid.forEach(row=>row.fill(0));for(let y=0;y<83;y++)for(let x=0;x<149;x++)grid[y][x]=Math.random()<.2?1:0;}
function getNextCell(y,x){const dirs=[[0,1],[0,-1],[1,0],[-1,0];return dirs[Math.floor(Math.random()*dirs.length)];}
function getNewSeed(){let y=Math.floor(Math.random()*(grid.length-3)),x=Math.floor(Math.random()*(grid[0].length-3));while(grid[y][x])y++;return {y,x};}
let seed={y:Math.floor(Math.random()*(grid.length/2)),x:getNewSeed().x};
function initBFS(){queue=[{y:seed.y,x:seed.x,dist:0}];dist.set(0,1);currentCellIndex=-1;totalCells=0;}
function draw(){ctx.fillStyle='#000';ctx.fillRect(0,0,w,h);for(let y=0;y<grid.length;y++)for(let x=0;x<grid[y].length;x++){if(grid[y][x]){ctx.fillStyle='#333';}else{if(dist.has(y*w+x))ctx.fillStyle=`hsl(${dist.get(y*w+x)*12},75%,50%)`;else if((y-x)%2==0)ctx.fillStyle='#666';else ctx.fillStyle='#444';}ctx.fillRect(x*cellSize,y*cellSize,cellSize-1,cellSize-1);}}
function animate(){currentCellIndex++;if(currentCellIndex<queue.length){const {y,x}=queue[currentCellIndex];const ny=y+1,nx=x,ay=y,nax=x+1,bny=y-1,bnx=x,canv=ny*w+x,nextCanv=ay*w+nax,belowCanv=bny*w+nx;if(ny>=0&&ny<grid.length&&!dist.has(canv)&&!grid[ny][nx])queue.push({y:ny,x:nx,dist:queue[currentCellIndex].dist+1});if(nx>=0&&nx<grid[0].length&&!dist.has(nextCanv)&&!grid[y][nx])queue.push({y:x,nx,dist:queue[currentCellIndex].dist+1});if(ay>=0&&ay<grid.length&&!dist.has(canv)&&!grid[ay][nx])queue.push({y:ay,x:nax,dist:queue[currentCellIndex].dist+1});if(bny>=0&&bny<grid.length&&!dist.has(belowCanv)&&!grid[bny][nx])queue.push({y:bny,x,nx,dist:queue[currentCellIndex].dist+1});}else{initBFS();return;}draw();s.textContent=`Step: ${currentCellIndex}`;f.textContent=`Filled: ${totalCells=Object.keys(dist).length};` requestAnimationFrame(animate);}}
createGrid();initBFS();requestAnimationFrame(animate);
</script></body></html>
```
No usable answer reached the harness (TIMEOUT). Counted as a did-not-finish.
deepseek-r1:32bOKFORMAT
Show code
```html
<!DOCTYPE html><html><body style="background:#1a1a1a;color:white;display:flex;justify-content:center;align-items:center;height:100vh;margin:0"><canvas id=c></canvas><div id=s style="position:absolute;top:20px;left:20px;font-family:sans-serif"></div><script>
const c=document.getElementById('c'),ctx=c.getContext('2d'),w=500,h=400,cellSize=16;
let grid=[],queue=[],seedX,seedY,step=0,total=0,running=true;

function initGrid(){
    grid=[];total=0;step=0;
    const cols=Math.floor(w/cellSize),rows=Math.floor(h/cellSize);
    for(let y=0;y<rows;y++){
        let row=[];for(let x=0;x<cols;x++)row.push(Math.random()>0.35?1:0);
        grid.push(row);
    }
    while(1){
        seedX=Math.floor(Math.random()*cols);seedY=Math.floor(Math.random()*rows);
        if(grid[seedY][seedX]>0)break;
    }
    for(let y=0;y<grid.length;y++)for(let x=0;x<grid[y].length;x++)
        if(grid[y][x]==1)grid[y][x]=0;
    grid[seedY][seedX]=1;queue=[{x:seedX,y:seedY}];
}

function drawGrid(){
    ctx.fillStyle='#333';ctx.fillRect(0,0,w,h);
    for(let y=0;y<grid.length;y++){
        for(let x=0;x<grid[y].length;x++){
            if(grid[y][x]>0){
                const hue=(grid[y][x]*60)%360;
                ctx.fillStyle=`hsla(${hue},80%,50%)`;
                ctx.fillRect(x*cellSize,y*cellSize,cellSize-1,cellSize-1);
            }
        }
    }
}

function animate(){
    if(!running)return;
    if(step==0){
        c.width=w;c.height=h;initGrid();
        drawGrid();document.getElementById('s').innerHTML=`Step: ${step} | Total: ${total}`;
        return requestAnimationFrame(animate);
    }
    if(queue.length>0){
        const len=queue.length;total+=len;
        for(let i=0;i<len;i++){
            const {x,y}=queue.shift();
            const dirs=[[1,0],[-1,0],[0,1],[0,-1]];
            for(const [dx,dy] of dirs){
                const nx=x+dx,ny=y+dy;
                if(nx>=0&&nx<grid[0].length&&ny>=0&&ny<grid.length&&
                   grid[ny][nx]==0){
                    grid[ny][nx]=grid[y][x]+1;queue.push({x:nx,y:ny});
                }
            }
        }
        drawGrid();document.getElementById('s').innerHTML=`Step: ${step} | Total: ${total}`;
        step++;
    }else{
        initGrid();step=0;total=0;
    }
    requestAnimationFrame(animate);
}
initGrid();animate();
</script></body></html>
```
command-r:35bERRBLANK
Show code
<!DOCTYPE html>
<html lang="en">
<head>
    <meta charset="UTF-8">
    <title>Breadth-First Flood Fill</title>
    <style type="text/css">
        body {
            margin: 0;
            overflow: hidden;
        }
        canvas {
            display: block;
        }    
    </style>
</head>
<body>
<canvas></canvas>
<script type="application/javascript">
    const colors = ["#6F6", "#AF8", "#ED9"]; // 3 shades of green for distance coloring

    function randomInt(n) { return Math.floor(Math.random() * n); } // helper func for random int in [0,n)
    
    function drawGrid(ctx, w, h) {
        ctx.fillStyle = "#262"; ctx.fillRect(0, 0, w, h); // dark green background
        for (let x=1; x<w; x++) ctx.lineWidth=1, ctx.strokeStyle="#474", ctx.beginPath(), 
        ctx.moveTo(.5+x,.5), ctx.lineTo(.5+x,h-.5), ctx.stroke(); // verts
        for (let y=1; y<h; ++y) ctx.strokeStyle="#363", ctx.beginPath(), 
        ctx.moveTo(.5,.5+y), ctx.lineTo(w-.5,.5+y), ctx.stroke(); // hzntls
    }
    
    function drawCell(ctx, x, y, step, dist) {
        const r = 10 * (step + 1); // radius of cell circle grows with time
        if (dist > -1 && ctx.getImageData(x*2+1,y*2+1,1,1).data[3] == 0) {
            ctx.beginPath(); ctx.arc(x*2+.5, y*2+.5, r, 0, 2 * Math.PI); // draw cell circle
            ctx.fillStyle = colors[dist % 3]; ctx.fill();
        }
    }

    function setup() {
        const w = window.innerWidth, h = window.innerHeight;
        if (w < 400 || h < 250) alert("Screen too small!"); // ensure min size before draw
        else {
            let cellSize = Math.floor(Math.min(w / 16, h / 12)); // calculate cell size based on window size
            const numCols = w / cellSize | 0, numRows = h / cellSize | 0; // calc # cols/rows

            canvas = document.querySelector("canvas");
            if (cellSize < 5) {
                alert("Screen too small!"); return;    
            } else {
                let ctx = canvas.getContext('2d');
                const cw = numCols * cellSize, ch = numRows * cellSize; // calc total width/height
                canvas.width = Math.floor(cw); canvas.height = Math.floor(ch); // set size of canvas

                drawGrid(ctx, cw, ch); // draw grid background
                const queueCell = (x, y) => {
                    if (0 <= x && x < numCols-1 && 0 <= y && y < numRows-1) {
                        ctx.putImageData(cellImgData, cellSize*x, cellSize*y); // put seed into Q
                    }
                };

                let step = -1;
                while (++step < 5000) { // animation loop: up to 20 seconds of filling
                    const numFilled = queue.length + filled.length; // calc # currently filled cells

                    if (numFilled >= w*h/3) break; // exit when 1/3 of grid is filled

                    requestAnimationFrame(function() {
                        let dist = step % 4; // cell distance from seed, mod 5 to loop colors
                        drawCell(ctx, queue[0][0], queue[0][1], step, dist); // draw ring leader
                        const queueNext = []; // next layer of cells to process
                        for (const qc of queue) {
                            if (dist < 4 && qc.length > 2) {
                                let x = qc[0] + [-1,0,+1][qc[2]];
                                let y = qc[1] + [+1,0,-1][qc[2]]; // calc next cell in current direction
                                drawCell(ctx, x, y, step, dist); 
                                if (x >= 0 && y >= 0) {
                                    const imgData = ctx.getImageData(cellSize*x,cellSize*y,cellSize,cellSize).data;
                                    let blocked = false;
                                    imgData.forEach((v,i) => v || (blocked=true)); // check if cell is empty
                                    if (!blocked) queueNext.push([x, y]);
                                }
                            }
                        }
            
                        for (const qc of filled[dist]) { // fill in cells that were just surrounded
                            drawCell(ctx, qc[0], qc[1], step, dist); 
                        }

                        const cellImgData = ctx.getImageData(cellSize*queue[0][0],
                                            cellSize*queue[0][1], cellSize, cellSize).data; // get seed cell color
                        queueCell(queue[0][0]+1, queue[0][1]); // add to Q cells on right of seed
                        if (step % 4 == 3) {
                            queueCell(queue[0][0]-1, queue[0][1]); // bottom left & top right
                            queueCell(queue[0][0], queue[0][1]+1); 
                            queueCell(queue[0][0], queue[0][1]-1);
                        }
                        if (dist == 3) { // add cells to Q after the current ring is filled
                            for (const qc of filled[3]) queueNext.push([qc[0], qc[1]]); 
                        }

                        document.querySelector("canvas").textContent = `Step: ${step}\nFilled Cells: ${numFilled}`;
                        
                        queue.shift(); // remove seed from Q, add next layer to Q
                        for (const qn of queueNext) {
                            if (!filled[[0,1,2,3].includes(dist)].find(([x,y]) => x == qn[0] && y == qn[1]))
                                queue.push([qn[0], qn[1], randomInt(4)]); // add cells to Q with random direction
                        }

                        for (const qc of queueNext) {
                            if (!filled[[0,1,2,3].includes(dist)].find(([x,y]) => x == qc[0] && y == qc[1]))
                                filled[dist+1].push([qc[0], qc[1]]); // add cells to filled layer, next dist
                        }
                    });
                }

                if (step >= 5000) return setTimeout(setup, 2000); // reset and start again after a pause
                
                queue = []; arrayOfArrays.forEach((row, y) => row.forEach((val, x) => val && queueCell(x,y)));
                filled = [[][]];
            }
        }
    };

    const canvas = document.createElement("canvas"); 
    let ctx = canvas.getContext('2d'); // store context for faster access later on

    setup();
</script>    
</body>
</html>
qwq:32bERRBLANKLIM
Show code
<think>
Okay, let's tackle this problem. The user wants a self-contained HTML file that animates a breadth-first flood fill on a canvas. The animation should show the wave spreading outward from a starting cell, coloring each cell based on its distance from the seed. It needs to restart with a new grid once it's done, and use requestAnimationFrame for smooth animation without any user input. Also, no external libraries and the total character count must be under 7000.

First, I need to structure the HTML file with a canvas element. The main script will handle the animation loop. Let me start by setting up the basic HTML structure. The canvas needs to be sized appropriately, maybe 400x400 pixels to keep things manageable.

Next, the JavaScript part. I need to generate a grid of cells, some blocked and some open. To make it irregular, maybe use a 2D array where each cell has a 'blocked' property. The seed is a starting cell, say at the center. The BFS will track the distance from the seed for each cell.

The BFS should expand in rings. Each step of the animation corresponds to a distance level. So, I'll need to track the current step and the cells to be colored at each step. The animation loop (using requestAnimationFrame) will increment the step, draw the new ring, and check if all reachable cells are filled. When done, it should reset the grid and start over.

I need a function to generate the grid. Maybe generate a random grid where each cell has a certain chance (like 20%) of being blocked. The seed cell must be open. The grid size could be, say, 40x40 cells to fit on a 400px canvas with 10px per cell.

For the BFS, I can use a queue. Initialize the queue with the seed cell, mark its distance as 0. Then for each step, process all cells at the current distance level before moving to the next. Each step in the animation corresponds to the current distance. So, the queue can be managed by level, and each animation frame draws the next level's cells.

Wait, but how to handle the animation steps? Maybe the BFS is precomputed, and the animation just goes through the steps sequentially. That way, the animation can just draw the next ring when it's time. So first, precompute all the distances, then animate frame by frame, showing each distance level.

Yes, that makes sense. So the steps would be:

1. Generate grid and seed.
2. Run BFS to compute all distances.
3. Animation loop increments currentStep and draws cells with distance <= currentStep. When currentStep reaches the maximum distance, reset everything.

Wait, but how do I store the distances? Let's see. The grid can be an array of objects with blocked and distance properties. During BFS, set distance for each cell. Then in each animation step, color cells where distance equals the current step.

Alternatively, each step of the animation corresponds to the current distance being drawn. So, when the BFS is done, the maximum distance is known. The animation will loop through each distance from 0 up to max, drawing those cells each frame.

But how to handle the animation timing? Using requestAnimationFrame, the loop can advance the current step each frame until the max is reached, then reset.

I need to handle the canvas drawing. Each cell's position and color based on distance. The color could be a gradient from the seed to a darker color as distance increases. Maybe using HSL colors where lightness decreases with distance.

Now, putting this into code. Let me outline the steps:

- Create a canvas element in HTML.
- In JavaScript, set up variables:
   - grid: array of objects with x, y, blocked, distance.
   - currentStep (starts at 0), maxStep (the furthest distance).
   - cellSize (e.g., 10), grid dimensions (e.g., 40x40).
   - ctx for 2D drawing context.
   - seedX and seedY, chosen randomly but must be open.

- Functions needed:
   - generateGrid: creates the grid with random blocked cells and ensures the seed is unblocked.
   - bfs: computes the distances from the seed.
   - animate: the main loop that updates currentStep, draws the grid up to currentStep, and schedules next frame.
   - reset: generates new grid and runs BFS, then starts animation.

- The animation loop draws each cell's color based on its distance. But to animate step by step, in each frame, currentStep increments by 1 (or maybe 0.1 for smoother steps?), but since each step is a full ring, perhaps advance one step per frame. Wait, but the animation should be smooth. Maybe currentStep is a frame counter, and each frame corresponds to drawing the next distance level. So after each frame, currentStep increases, and when it reaches maxStep, reset.

Wait, but the BFS gives all the distances at once. The animation can just draw all cells with distance <= currentStep. So as currentStep increases from 0 to maxStep, the filled area grows. So the animation is just incrementing currentStep each frame until it reaches maxStep, then reset.

This approach is feasible. Now, generateGrid function. To generate the grid, maybe:

Initialize grid as 2D array. Each cell has blocked = Math.random() < 0.2 ? true : false. Choose a seed, say center coordinates, but check if it's blocked. If blocked, pick another random cell until an open one is found.

Then, BFS:

Initialize queue with the seed's coordinates, distance 0. Mark it as visited. For each step, dequeue cells, check neighbors (up, down, left, right), if unblocked and unvisited, set their distance to current distance +1, add to queue. But to track the steps in order, the BFS can be level-order, so each level is a distance step. So the distances array will have the correct order.

Alternatively, the BFS can proceed normally, and the distance array is built correctly, so that the maximum distance is known.

Once the BFS is done, maxStep is the maximum distance found (or maybe the seed's distance is 0, so maxStep is the highest value in distances).

Then, in the animate function, each frame:

- If currentStep > maxStep, reset and start over.
- Else, clear canvas, redraw all cells:
   For each cell, if their distance <= currentStep, color based on distance.
   Else, if blocked, color black, else white (unfilled).
- Also, display currentStep and filled cells (which is the count of cells with distance <= currentStep).

Wait, but how to compute filled cells count? Maybe precompute an array for each distance, but perhaps it's easier to have an array that tracks how many cells are at each distance. So during BFS, we can have a count array. Alternatively, during each frame, just count the number of cells with distance <= currentStep. But that might be computationally expensive each frame. Alternatively, precompute a cumulative count for each step. Let's think.

Alternatively, the filled cells count can be tracked as (currentStep +1) * some factor? Not sure. Alternatively, after BFS, for each distance, track how many cells are at that distance, and have an array of cumulative counts. Then, filledCells = cumulativeCounts[currentStep].

Hmm, perhaps during BFS, when processing each cell, we can keep track of how many cells are at each distance. So have an array distCounts where distCounts[d] is the number of cells at distance d. Then, cumulative count up to step is the sum of distCounts[0..currentStep]. That way, filledCells can be computed quickly.

So during BFS, after setting each cell's distance, increment distCounts[distance].

Then, in the animate function, filledCells is the sum from 0 to currentStep of distCounts[i].

Alternatively, just precompute an array of cumulative counts. Maybe that's better.

Alternatively, during animation, in each frame, just count the number of cells where distance <= currentStep. But if the grid is 40x40=1600 cells, that's manageable each frame.

Alternatively, to optimize, precompute cumulative counts when BFS is done.

Let me proceed.

Now, code steps:

Initialize the grid:

function generateGrid() {
    const grid = [];
    const blockedProb = 0.2;
    const seed = {x: Math.floor(gridWidth/2), y: Math.floor(gridHeight/2)};
    // generate grid:
    for (let y = 0; y < gridHeight; y++) {
        grid[y] = [];
        for (let x = 0; x < gridWidth; x++) {
            const blocked = Math.random() < blockedProb;
            grid[y][x] = {x, y, blocked, distance: -1}; // -1 means unvisited
        }
    }
    // ensure seed cell is unblocked:
    if (grid[seed.y][seed.x].blocked) {
        // pick a random open cell as seed:
        let found = false;
        while (!found) {
            const x = Math.floor(Math.random() * gridWidth);
            const y = Math.floor(Math.random() * gridHeight);
            grid[y][x].blocked = false;
            seed.x = x;
            seed.y = y;
            found = true;
        }
    }
    return {grid, seed};
}

Wait, but maybe better to regenerate until the seed is unblocked. Alternatively, set the seed's blocked to false.

Wait, the code above is trying to ensure that the seed is in an open cell. So when generating the grid, after generating all cells, check if seed's cell is blocked. If yes, then make it unblocked. Alternatively, in the loop, maybe just set to false. Hmm, perhaps better to first generate the grid, then check the seed's cell. If blocked, set to unblocked. Then choose another seed if necessary? Or just the center?

Alternatively, maybe better to choose the seed first, then set its blocked to false. For simplicity:

In generateGrid:

let seedX = Math.floor(gridWidth/2);
let seedY = Math.floor(gridHeight/2);

grid[seedY][seedX].blocked = false;

But then the rest of the grid is generated with blocked as per the probability. That way the seed is always open.

But what if the entire grid is blocked except the seed? The BFS would only have the seed, but in that case, the animation will just stay at step 0. But the problem says "reachable open cells", so that's acceptable.

So that's better. So:

function generateGrid() {
    const grid = [];
    const gridWidth = 40; // or whatever
    const gridHeight = 40;
    const blockedProb = 0.2;
    const seedX = Math.floor(gridWidth/2);
    const seedY = Math.floor(gridHeight/2);

    for (let y = 0; y < gridHeight; y++) {
        grid[y] = [];
        for (let x = 0; x < gridWidth; x++) {
            let blocked = Math.random() < blockedProb;
            if (x === seedX && y === seedY) blocked = false;
            grid[y][x] = {x, y, blocked, distance: -1};
        }
    }
    return {grid, seedX, seedY};
}

Wait, maybe better to return the seed's coordinates as seedX and seedY variables.

Now, BFS function:

function bfs(grid, seedX, seedY) {
    const queue = [];
    const maxStep = 0;
    const gridWidth = grid[0].length;
    const gridHeight = grid.length;

    // Initialize seed
    const seedCell = grid[seedY][seedX];
    seedCell.distance = 0;
    queue.push(seedCell);

    while (queue.length > 0) {
        const current = queue.shift();
        const currentX = current.x;
        const currentY = current.y;
        const currentDist = current.distance;
        maxStep = Math.max(maxStep, currentDist);

        // Check all four directions
        for (let dx = -1; dx <= 1; dx += 2) {
            const nx = currentX + dx;
            const ny = currentY;
            checkCell(grid, nx, ny, currentDist + 1, queue, gridWidth, gridHeight);
        }
        for (let dy = -1; dy <= 1; dy += 2) {
            const nx = currentX;
            const ny = currentY + dy;
            checkCell(grid, nx, ny, currentDist + 1, queue, gridWidth, gridHeight);
        }
    }
    return maxStep;
}

Wait, but to check in all four directions, perhaps better to loop through directions:

Alternatively, directions array:

const dirs = [[1,0],[-1,0],[0,1],[0,-1]];

for (const [dx, dy] of dirs) {
    check neighboring cell...
}

So, perhaps better to implement checkCell.

Wait, the checkCell function would check if the neighbor cell is within bounds, unblocked, and not visited (distance -1). If so, set its distance, add to queue.

Wait, but the queue should process cells by level (distance). So using a queue which is FIFO, so BFS works.

Wait, the helper function:

function checkCell(grid, x, y, dist, queue, w, h) {
    if (x >=0 && x < w && y >=0 && y < h) {
        const cell = grid[y][x];
        if (cell.blocked || cell.distance !== -1) return;
        cell.distance = dist;
        queue.push(cell);
    }
}

Wait, but in the BFS loop, after processing a cell, for each direction, compute nx, ny, then call checkCell with dist = currentDist +1.

So putting this together.

Then, the BFS function would return the maxStep (the maximum distance found).

Now, the animate function:

The animate function will be called via requestAnimationFrame. It checks if currentStep < maxStep. If yes, draws up to currentStep, increments currentStep, and schedules next frame. Else, resets.

But before starting, when the grid is generated, the BFS is run to compute distances and maxStep.

So the main steps in the code:

Initialize variables:

let grid;
let seedX, seedY;
let currentStep = 0;
let maxStep = 0;
const cellSize = 10;
const gridWidth = 40; // total cells per side
const gridHeight = 40;

const canvas = document.querySelector('canvas');
const ctx = canvas.getContext('2d');
canvas.width = gridWidth * cellSize;
canvas.height = gridHeight * cellSize;

Then the reset function:

function reset() {
    const {grid: newGrid, seedX: sX, seedY: sY} = generateGrid();
    grid = newGrid;
    seedX = sX;
    seedY = sY;

    // Run BFS to compute distances and get maxStep
    maxStep = bfs(grid, seedX, seedY);
    currentStep = 0;
}

Wait, but the BFS function needs to return the maxStep. So in the BFS function, the maxStep is tracked and returned.

Wait in the BFS function, in the loop, after processing each cell's distance, the maxStep is updated. So the function should return that.

Then, after reset() is called, the animate function can be started.

The animate function:

function animate() {
    if (currentStep > maxStep) {
        reset();
        currentStep = 0; // maybe not needed, since reset() sets currentStep?
        // But after resetting, need to start animating again.
    }

    // Clear canvas
    ctx.clearRect(0, 0, canvas.width, canvas.height);

    // Draw all cells
    for (let y = 0; y < gridHeight; y++) {
        for (let x = 0; x < gridWidth; x++) {
            const cell = grid[y][x];
            const color = cell.blocked ? 'black' : 
                          (cell.distance <= currentStep ? getColor(cell.distance) : 'white');
            drawCell(x, y, color);
        }
    }

    // Draw step count and filled cells
    ctx.font = '12px sans-serif';
    ctx.fillStyle = 'black';
    ctx.fillText(`Step: ${currentStep}`, 10, 20);
    const filled = countFilled();
    ctx.fillText(`Filled: ${filled}`, 10, 40);

    currentStep++;
    requestAnimationFrame(animate);
}

Wait, but how to compute filled cells? countFilled() could be a function that counts cells with distance <= currentStep.

function countFilled() {
    let count = 0;
    for (let y = 0; y < gridHeight; y++) {
        for (let x = 0; x < gridWidth; x++) {
            if (!grid[y][x].blocked && grid[y][x].distance <= currentStep) {
                count++;
            }
        }
    }
    return count;
}

Alternatively, during BFS, we can precompute the cumulative count for each step. But for the sake of simplicity, maybe the first approach is acceptable even if it's O(n) per frame.

Now, the drawCell function:

function drawCell(x, y, color) {
    ctx.fillStyle = color;
    ctx.fillRect(x * cellSize, y * cellSize, cellSize, cellSize);
}

The color for the filled cells can be based on the distance. Let's use HSL where the lightness decreases with distance. Maybe:

function getColor(distance) {
    const maxHue = 120; // cyan, then to green, etc.
    const maxLight = 100 - (distance * 0.5); // arbitrary scaling
    // Or, perhaps a gradient that's more visible.
    // Maybe use HSL with hue based on distance.
    const step = maxStep;
    let hue = (distance / step) * 360;
    return `hsl(${hue}, 50%, 50%)`;
Wait, but that might not look good. Alternatively, a gradient that starts at red and fades to blue as distance increases. Alternatively, just a grayscale where lighter is closer.

Alternatively, lightness = 100 - (distance * 2), so that as distance increases, the color gets darker. But need to ensure it's visible.

Wait, let's say for distance 0, color is red, then as distance increases, it becomes yellow, green, blue, etc. Alternatively, using a simple formula.

function getColor(distance) {
    const maxDist = maxStep;
    const val = (distance / maxDist) * 255;
    return `rgb(${255 - val}, ${val}, 0)`;
}

This would give a gradient from red (distance 0) to yellow (distance half) to green (distance max). Hmm, maybe better.

Alternatively, perhaps a simple gradient where the brightness decreases with distance.

Perhaps a grayscale where closer cells are white, and farther are black. Or the other way around.

Alternatively, use a fixed color for filled cells, like blue, and leave unvisited as white, obstacles as black.

Wait, maybe the problem just wants the cells to be colored based on their distance. Let's pick a simple method.

Alternatively, use a fixed color for all filled cells, but that would make it hard to see the distance progression. Maybe just a gradient where each step is a different color.

Alternatively, use a lightness that decreases with distance:

function getColor(distance) {
    const max = maxStep;
    const light = 100 - (distance * 100 / max);
    return `hsl(200, 50%, ${light}%)`;
}

This would make cells closer to the seed lighter, and further away darker. But maybe better the opposite?

Alternatively, invert it:

light = 50 + (distance * 50 / max);

So starting at 50% lightness (mid-gray), going up to 100% (white) for max distance. Hmm. Not sure. Perhaps it's better to use a hue gradient.

Alternatively, use the distance to set the hue. For example, 0° red, 120° green, etc.

function getColor(distance) {
    const max = maxStep;
    const hue = (distance / max) * 360;
    return `hsl(${hue}, 100%, 50%)`;
}

This way, the color cycles through the spectrum as distance increases. That could be visually effective.

Alternatively, since distance is a scalar, maybe better to use a simple progression from red (closest) to blue (farthest). But not sure.

Alternatively, let's go with the following for simplicity:

function getColor(distance) {
    return `rgb(${255 - distance * 10}, ${distance * 10}, 50)`;
}

This gives a gradient from red (distance 0: 255, 0, 50) to more green as distance increases. But might not be great.

Alternatively, for simplicity, use a fixed color like blue for all filled cells, and the step number can be tracked by the step counter.

The problem says "Create a program that...", so the visual appearance is up to the creator.

Perhaps for now, let's make filled cells blue, and unvisited/obstacles as white and black.

Wait:

block cells are black, filled cells (distance <= currentStep) are blue, and unvisited (distance -1 and not blocked) are white.

But then how to distinguish between blocked and unvisited? The blocked are black, unvisited are white. So filled cells are blue.

This could work. So:

color = cell.blocked ? 'black' : 
       (cell.distance === -1 ? 'white' : 'blue');

But then the color doesn't show the distance, only whether it's filled. Maybe that's acceptable for the problem's requirements.

Alternatively, since the user might want to see the distance progression, maybe it's better to have colors based on distance.

But to keep it simple, let's proceed with this for now.

Thus, the getColor function can be removed and replaced with:

color = cell.blocked ? 'black' : (cell.distance <= currentStep ? 'blue' : 'white');

Wait, but if cell.distance is less than or equal to currentStep, then it's been visited up to currentStep. So as currentStep increases, more cells turn blue.

But this way the animation shows the BFS progressing.

Alternatively, maybe better to color each cell based on their actual distance, so that all cells with distance 0 are red, distance 1 are orange, etc.

But perhaps the problem just wants the BFS animation, showing the frontier expanding.

In any case, the code can be adjusted in that part.

Now, putting all the functions together.

Now, in the HTML part, we have a canvas.

The initial call would be to reset() and start the animation.

In JavaScript, after defining all functions, we can call:

reset();
requestAnimationFrame(animate);

Now, putting all together in code:

```html
<canvas></canvas>
<script>
// ... all the functions here ...
</script>
```

But to make it compact, let me write all the code together.

Now, possible issues:

- The grid is a 2D array, so in the BFS, when we process cells, the queue should be a FIFO queue, so using shift() (which is O(n), but for 40x40 grid it's manageable).

Alternatively, use an array and track the front.

But for simplicity, let's proceed with shift().

Another thing: in the BFS function, the 'maxStep' variable is being tracked, but in the function, it's a local variable unless declared as a parameter.

Wait, in the current BFS function I wrote earlier, 'maxStep' is declared inside the function and returned.

Wait in the BFS function:

function bfs(grid, seedX, seedY) {
    const queue = [];
    let maxStep = 0; // initialize here
    const gridWidth = grid[0].length;
    const gridHeight = grid.length;

    // Initialize seed
    const seedCell = grid[seedY][seedX];
    seedCell.distance = 0;
    queue.push(seedCell);

    while (queue.length > 0) {
        const current = queue.shift();
        const currentX = current.x;
        const currentY = current.y;
        const currentDist = current.distance;
        maxStep = Math.max(maxStep, currentDist);

        // directions:
        const dirs = [[1,0],[-1,0],[0,1],[0,-1]];
        for (const [dx, dy] of dirs) {
            const nx = currentX + dx;
            const ny = currentY + dy;
            checkCell(grid, nx, ny, currentDist + 1, queue, gridWidth, gridHeight);
        }
    }
    return maxStep;
}

Wait, in the checkCell function, when a cell is added to the queue, it's given a distance of currentDist +1.

Yes, so the distance for each cell is set correctly.

Now, the checkCell function:

function checkCell(grid, x, y, dist, queue, w, h) {
    if (x >=0 && x < w && y >=0 && y < h) {
        const cell = grid[y][x];
        if (cell.blocked || cell.distance !== -1) return;
        cell.distance = dist;
        queue.push(cell);
    }
}

Wait but grid[y][x] is accessed correctly?

Yes, since in the grid array, grid[y] is the row for y-coordinate, and grid[y][x] is the cell at (x,y).

Wait, perhaps I mixed up x and y in the grid array. Let me confirm:

Assuming grid is a 2D array where grid[y] is the y-th row, and grid[y][x] is the cell at column x, row y.

Which is standard.

Now, the full code:

But I need to make sure all variables are properly declared with 'let' and 'const'.

Putting all together:

```html
<canvas></canvas>
<script>
const cellSize = 10;
const gridWidth = 40;
const gridHeight = 40;

let grid;
let seedX, seedY;
let currentStep = 0;
let maxStep = 0;

const canvas = document.querySelector('canvas');
const ctx = canvas.getContext('2d');
canvas.width = gridWidth * cellSize;
canvas.height = gridHeight * cellSize;

function generateGrid() {
    const newGrid = [];
    const seedXCenter = Math.floor(gridWidth / 2);
    const seedYCenter = Math.floor(gridHeight / 2);
    
    for (let y = 0; y < gridHeight; y++) {
        newGrid[y] = [];
        for (let x = 0; x < gridWidth; x++) {
            const blocked = (Math.random() < 0.2) && !(x === seedXCenter && y === seedYCenter);
            newGrid[y][x] = {
                x, y,
                blocked: blocked,
                distance: -1 // unvisited
            };
        }
    }
    return {
        grid: newGrid,
        seedX: seedXCenter,
        seedY: seedYCenter
    };
}

function bfs(grid, startX, startY) {
    const queue = [];
    let maxDistance = 0;

    const startCell = grid[startY][startX];
    startCell.distance = 0;
    queue.push(startCell);

    while (queue.length > 0) {
        const current = queue.shift();
        const currentX = current.x;
        const currentY = current.y;
        const currentDist = current.distance;
        maxDistance = Math.max(maxDistance, currentDist);

        const dirs = [[1,0], [-1,0], [0,1], [0,-1]];
        for (const [dx, dy] of dirs) {
            const nx = currentX + dx;
            const ny = currentY + dy;
            checkCell(grid, nx, ny, currentDist + 1, queue);
        }
    }
    return maxDistance;
}

function checkCell(grid, x, y, newDist, queue) {
    if (x < 0 || x >= gridWidth || y < 0 || y >= gridHeight) return;

    const cell = grid[y][x];
    if (cell.blocked || cell.distance !== -1) return;

    cell.distance = newDist;
    queue.push(cell);
}

function reset() {
    const { grid: newGrid, seedX, seedY } = generateGrid();
    grid = newGrid;
    currentStep = 0;
    maxStep = bfs(grid, seedX, seedY);
    seedX = seedX;
    this.seedY = seedY;
}

function draw() {
    ctx.clearRect(0, 0, canvas.width, canvas.height);

    for (let y = 0; y < gridHeight; y++) {
        for (let x = 0; x < gridWidth; x++) {
            const cell = grid[y][x];
            let color;
            if (cell.blocked) {
                color = 'black';
            } else if (cell.distance === -1) {
                color = 'white'; // unvisited
            } else if (cell.distance <= currentStep) {
                color = 'blue'; // visited by current step
            } else {
                color = 'lightgray'; // not yet visited in current step
            }
            ctx.fillStyle = color;
            ctx.fillRect(x * cellSize, y * cellSize, cellSize, cellSize);
        }
    }
}

function animate() {
    if (currentStep <= maxStep) {
        draw();
        currentStep++;
        requestAnimationFrame(animate);
    }
}

reset();
animate();
</script>
```

Wait, but in the above code, the BFS is precomputed before starting the animation. So maxStep is computed during reset(), which calls generateGrid(), then runs BFS to compute all distances.

Then the animation increments currentStep, and each frame shows cells with distance <= currentStep as blue, and others as lightgray.

This way, the animation would show the BFS front moving outward.

Yes, this should work.

The generateGrid function sets blocked cells with 20% probability, except the seed cell.

Then the BFS is run once to compute all distances, and then the animation is an incremental drawing of the steps.

This approach is better because precomputing the distances allows the animation to just display the current step without recalculating.

This should be efficient.

The color for cells with distance > currentStep can be lightgray to indicate they are not yet reached by the current step.

The seed cell (distance 0) will be blue from step 0 onwards.

Testing this code should show the BFS expanding outward from the center.

Potential issues:

- In the generateGrid function, seedX and seedY are computed as Math.floor(gridWidth/2), which for 40 would be 20 (since 40 is even, 20 is the center). But for odd numbers, it would be the central cell.

- The checkCell function's grid[y][x] is correct.

- The animation increments currentStep until it reaches maxStep, then stops.

Potential improvements:

- The color for the seed cell could be a different color, like red.

In the draw() function, for cell.x === seedX and cell.y === seedY, set color to red.

Adding that:

In draw():

            if (cell.x === seedX && cell.y === seedY) {
                color = 'red';
            } else if (cell.blocked) {
                color = 'black';
            } else if (cell.distance === -1) {
                color = 'white'; // unvisited
            } else if (cell.distance <= currentStep) {
                color = 'blue'; // visited by current step
            } else {
                color = 'lightgray'; // not yet visited in current step
            }

That way the starting cell is red.

Another improvement: in the generateGrid function, the seedX and seedY are already part of the returned object, so in the reset function:

    seedX = seedX; // This line is redundant. Probably a typo.

Wait in the reset function:

seedX = seedX; // This is not changing anything. Probably a mistake.

The reset function should capture the seedX and seedY from the generated grid.

Wait in the reset function:

const { grid: newGrid, seedX, seedY } = generateGrid();
grid = newGrid;
this.seedX = seedX;
this.seedY = seedY;

Wait 'this' here is probably the window object, which might not be intended. Instead, we should assign to variables.

Since seedX and seedY are global variables, declared with 'let seedX, seedY;' at the top.

Thus, in reset:

    seedX = seedX; // Not correct, should be seedX = generated seedX.

Wait the code in reset should be:

const { grid: newGrid, seedX: sX, seedY: sY } = generateGrid();
grid = newGrid;
seedX = sX;
seedY = sY;

Or more simply:

const { grid: newGrid, seedX, seedY } = generateGrid();
grid = newGrid;
this.seedX = seedX; 
this.seedY = seedY;

But since seedX and seedY are global variables (declared at the top with 'let seedX, seedY;'), you can just do:

grid = newGrid;
seedX = seedXFromGenerated; // but the generated object has seedX and seedY.

Wait the generateGrid function returns an object with seedX and seedY.

Thus:

const { grid: newGrid, seedX, seedY } = generateGrid();

Then, to assign to the global variables:

this.seedX = seedX; // assuming in a global context

But in JavaScript, if they're declared globally (as in the top), then:

seedX = seedX; // which is redundant. Wait no:

Wait the code in reset is:

const { grid: newGrid, seedX, seedY } = generateGrid();

grid = newGrid; // correct

seedX = seedX; // this is just assigning the same value to itself, so does nothing.

Ah, that's a mistake. The code should do:

seedX = seedX; // No, that's not right.

Wait the variables seedX and seedY are declared at the top with 'let', so inside reset, we can do:

seedX = seedX; // no, that's not right.

Wait the generateGrid returns an object with seedX and seedY (the center coordinates). So to get those values into the global variables:

seedX = seedX; // no, that's the same variable.

Wait I think I made a mistake here. The generateGrid function returns:

    return {
        grid: newGrid,
        seedX: seedXCenter,
        seedY: seedYCenter
    };

Thus, in reset():

    const newGridData = generateGrid();
    grid = newGridData.grid;
    seedX = newGridData.seedX;
    seedY = newGridData.seedY;

Yes, that's correct.

So in code:

const newGridData = generateGrid();
grid = newGridData.grid;
seedX = newGridData.seedX;
seedY = newGridData.seedY;

Hence, correcting the reset function:

function reset() {
    const newGridData = generateGrid();
    grid = newGridData.grid;
    seedX = newGridData.seedX;
    seedY = newGridData.seedY;
    currentStep = 0;
    maxStep = bfs(grid, seedX, seedY);
}

That should fix it.

With these corrections, the code should work.

Testing this code in a browser (since it uses <canvas>), it should display an animation of BFS expanding from the center cell.
Results at a glance— every model in this round with score, response time and status.

Who wrote what

ModelBlind scoreLatencyStatus
llama3.1:8b 146.3 sOK
qwen3-coder:30b 17.5 sOK
qwen3.5:9b 25.5 sOK
qwen3:8b harness
qwen3:14b 31.0 sOK
gemma4:26b harness
deepseek-r1:14b 41.8 sOK
mistral-small:24b DNF
deepseek-r1:32b 90.6 sOK
command-r:35b 113.5 sOK
qwq:32b 280.6 sOK