Run Detail

completedclaude-haiku-5.5

Unscored

Every model's answer from this round

Recorded for these videos

27:18

Gemini 4 Hydrogen: Cheaper Tokens, More Expensive Answers?

Nov 13, 2026 · YouTube

18:40

ERNIE 5.5 Flash Preview vs GLM 5.3 Flash: Baidu's new model is very impressive!

Nov 11, 2026 · YouTube

36:22

Fable 5.2 robbing me blind, plus: Nex AGI's N2.6 vs GLM 5.3 Flash

Nov 11, 2026 · YouTube

14:03

Gemini 4 Carbon: Can it handle my challenges? (First look with one-shot coding tests)

Nov 10, 2026 · YouTube

10:57

"Crouton Alpha": the latest super-efficient coding model by Meta?

Nov 3, 2026 · YouTube

38:58

Testing Particle-1: a post-trained DeepSeek V4.1 Flash specializing in coding and efficiency

Oct 28, 2026 · YouTube

22:14

GPT-6.1 Terra Pro vs Terra: How Much Better Is Pro?

Oct 27, 2026 · YouTube

29:55

Kimi K3.1 Pro Looked Incredible. Then I Kept Testing.

Oct 26, 2026 · YouTube

Provider

openrouter

Challenge Version

v1.1

Turns

Duration

317.6s

Total Tokens

72,106

Input Tokens

708

Output Tokens

71,398

Reasoning Tokens

62,937

Reasoning Effort

default

Est. Cost

$0.0358

Started

10/28/2026, 8:51:43 PM

OR Provider

Claude Platform on AWS

Finish Reason

stop

Generation ID

gen-1793220701-efqMbxYCtJUPu4FTec5b

Turns (1)

Turn #1

708 in71,398 out62,937 reasoning72,106 total317.5s

user

You build physics toys, and you have watched someone try the tablecloth trick at a family dinner.

Build me a single HTML page: a table set for dinner, and a tablecloth I can yank out from under it.

The build

A table with a cloth and at least six objects on it: plates, glasses, a candlestick, a bowl. They differ in mass and contact area with the cloth.
A pull-speed control shown on screen in feet per second, with a button to yank the cloth.
Motion comes from friction and inertia, not a scripted rule keyed to pull speed. A slow pull drags the setting along with the cloth and off the edge. A fast pull leaves the objects standing. Between those speeds, some objects slide, some tip, and some fall.
Objects can slide, tip over, collide with each other, fall off the table, and hit the floor.
Keep simulating until everything has stopped moving. Then show a count: how many objects remain on the table, and how many remain upright.
A reset control restores the starting layout.
Loading the page as #speed=12 sets the pull speed to 12 ft/s and pulls one second after load. Any number works.
The art is yours.

House rules

One file. Everything inline — no CDN, no external stylesheet, font, script or image. data: URIs are fine.
No libraries. No physics engine — write your own.
No network at runtime.
No localStorage, sessionStorage, cookies or indexedDB — sandboxed frame, they throw.
Return the file as exactly one fenced html block.

Answer in exactly these sections

The prediction

One paragraph, before the file: the lowest pull speed at which every object stays on the table, and the speed below which no object stays on the table, as two numbers in ft/s. State the arithmetic using your masses, friction coefficients, and cloth length.

The page

The single fenced html block.

What it actually does

Where it behaves like the physical trick and where it does not. Name any special cases, scripted wobbles, or fall thresholds. Everyone has seen this trick fail; say how yours fails before I find out.

assistant

The prediction

Each object slides on the cloth at friction-limited acceleration μc·g until the cloth's leading edge passes it. Its cloth-relative slip must cover D = x + w/2 + 3.5 ft, where 3.5 ft is the cloth's left overhang and the cloth is 8 ft long, so it covers all six objects at the start. Once exposed, it slides on bare wood (μt = 0.45) and must travel M = 3 − x ft to reach the table edge. Combining the two phases gives the speed where an object just reaches the edge: solve ½·μc·g·t²·(1 + μc/μt) = M for t, set a = μc·g·t, then v = (2·μc·g·D + a²)/(2a). Using g = 32.2 ft/s², the six objects give: left plate (μ 0.30, D 2.0, M 4.9) → 6.3 ft/s; left glass (0.25, 2.7, 3.9) → 6.6; bowl (0.30, 3.5, 3.3) → 8.5; candle (0.35, 3.8, 2.8) → 10.2; right plate (0.30, 5.2, 1.7) → 13.5; right glass (0.25, 5.8, 0.8) → 17.7. The lowest speed at which every object stays on the table is therefore 17.7 ft/s, and the speed below which no object stays is 6.3 ft/s. Object masses (0.2–0.9 kg) cancel out of every sliding threshold, since friction is μN with N = mg; they matter only for collisions. This estimate ignores tipping, object-to-object hits, and the 0.08 s cloth ramp in the page, so treat these as hand-computed predictions I have not measured.

The page

<!doctype html>
<html lang="en">
<head>
<meta charset="utf-8">
<meta name="viewport" content="width=device-width,initial-scale=1">
<title>The Tablecloth Trick</title>
<style>
html,body{margin:0;background:#17130f;color:#eadcc2;font:15px/1.45 Georgia,"Times New Roman",serif}
#wrap{max-width:880px;margin:0 auto;padding:14px}
h1{font-size:20px;font-weight:normal;letter-spacing:.04em;margin:4px 0 10px;color:#f1dfb8}
canvas{display:block;width:100%;height:auto;border-radius:10px;border:1px solid #3c3129}
.row{display:flex;flex-wrap:wrap;gap:12px 18px;align-items:center;margin:12px 0}
button{font:inherit;color:#f6e9cc;background:#4a3525;border:1px solid #b99a64;border-radius:7px;padding:7px 16px;cursor:pointer}
button:disabled{opacity:.45;cursor:default}
input[type=range]{width:280px;accent-color:#c9a25f}
#spdLabel{min-width:9em;font-variant-numeric:tabular-nums;color:#f6e9cc}
#hud{font-variant-numeric:tabular-nums;opacity:.85}
#out{background:#211b16;border:1px solid #3c3129;border-radius:8px;padding:10px 14px;min-height:4.5em}
#out ul{margin:6px 0 0;padding-left:1.2em}
</style>
</head>
<body>
<div id="wrap">
<h1>The tablecloth trick: a friction-and-inertia toy</h1>
<canvas id="c" width="840" height="480"></canvas>
<div class="row">
  <label>Pull speed <input id="spd" type="range" min="0" max="40" step="0.5" value="12"></label>
  <span id="spdLabel">12 ft/s</span>
  <button id="yank">Yank the cloth</button>
  <button id="reset">Reset table</button>
  <span id="hud"></span>
</div>
<div id="out">Choose a pull speed and yank. The simulation runs until everything stops.</div>
</div>
<script>
(()=>{
'use strict';
const cv=document.getElementById('c'), ctx=cv.getContext('2d');
const W=cv.width, H=cv.height, S=50, OX=W/2, OY=300;
const spd=document.getElementById('spd'), spdLabel=document.getElementById('spdLabel');
const btnYank=document.getElementById('yank'), btnReset=document.getElementById('reset');
const hud=document.getElementById('hud'), out=document.getElementById('out');

// ---- constants (feet, seconds, kg as labels) ----
const G=32.2, TABLE_HALF=3.0, TABLE_DEPTH=0.3, FLOOR_Y=-3.0;
const MU_TABLE=0.45, MU_FLOOR=0.5, MU_OBJ=0.35;
const CLOTH_S0=-3.5, CLOTH_L=8.0, RAMP=0.08;
const DT=1/1440, SUB=24, ITER=12, BAUM=0.2, SLOP=0.002, REST=0.1;

const LAYOUT=[
  {name:'Dinner plate, left',  kind:'plate', x:-1.9, w:0.80, h:0.06, m:0.45, mu:0.30},
  {name:'Dinner plate, right', kind:'plate', x: 1.3, w:0.80, h:0.06, m:0.45, mu:0.30},
  {name:'Wine glass, left',    kind:'glass', x:-0.9, w:0.25, h:0.55, m:0.20, mu:0.25},
  {name:'Wine glass, right',   kind:'glass', x: 2.2, w:0.25, h:0.55, m:0.20, mu:0.25},
  {name:'Candlestick',         kind:'candle',x: 0.2, w:0.20, h:0.90, m:0.90, mu:0.35},
  {name:'Soup bowl',           kind:'bowl',  x:-0.3, w:0.50, h:0.25, m:0.60, mu:0.30},
];

function fresh(){
  return LAYOUT.map(d=>({
    name:d.name, kind:d.kind, m:d.m, mu:d.mu,
    hw:d.w/2, hh:d.h/2,
    x:d.x, y:d.h/2-0.001, th:0, vx:0, vy:0, om:0,
    invM:1/d.m, invI:12/(d.m*(d.w*d.w+d.h*d.h)),
    onT:false, up:false
  }));
}
function newCloth(){ return {s:CLOTH_S0,u:0,v:0,t:0,pulling:false,used:false}; }

let bodies=fresh(), cloth=newCloth();
let running=false, finished=false, tSim=0, restT=0, pullSpeed=12, autoTimer=0;

const wrap=a=>{ a=(a+Math.PI)%(2*Math.PI); if(a<0)a+=2*Math.PI; return a-Math.PI; };

// ---- geometry ----
function corners(b){
  const c=Math.cos(b.th), s=Math.sin(b.th);
  return [[-b.hw,-b.hh],[b.hw,-b.hh],[b.hw,b.hh],[-b.hw,b.hh]].map(([lx,ly])=>
    ({x:b.x+c*lx-s*ly, y:b.y+s*lx+c*ly}));
}
function toLocal(b,p){
  const c=Math.cos(b.th), s=Math.sin(b.th), dx=p.x-b.x, dy=p.y-b.y;
  return {x:c*dx+s*dy, y:-s*dx+c*dy};
}
function toWorldDir(b,lx,ly){
  const c=Math.cos(b.th), s=Math.sin(b.th);
  return {x:c*lx-s*ly, y:s*lx+c*ly};
}
function coveredAt(x){
  return cloth.pulling && x>=cloth.s && x<=cloth.s+CLOTH_L && x>=-TABLE_HALF && x<=TABLE_HALF;
}

// ---- contacts ----
function boxVsBox(P,Q,pts,out){
  for(const p of pts){
    const q=toLocal(Q,p);
    if(Math.abs(q.x)<Q.hw && Math.abs(q.y)<Q.hh){
      const dx=Q.hw-Math.abs(q.x), dy=Q.hh-Math.abs(q.y);
      let lx=0, ly=0, d;
      if(dx<dy){ lx=Math.sign(q.x)||1; d=dx; }
      else     { ly=Math.sign(q.y)||1; d=dy; }
      const n=toWorldDir(Q,lx,ly);
      out.push({a:P,b:Q,p,n,d,mu:MU_OBJ,sv:0});
    }
  }
}
function buildContacts(){
  const cs=[];
  const pts=bodies.map(corners);
  bodies.forEach((b,i)=>{
    for(const p of pts[i]){
      if(p.x>=-TABLE_HALF && p.x<=TABLE_HALF && p.y<0 && p.y>-TABLE_DEPTH){
        const on=coveredAt(p.x);
        cs.push({a:b,b:null,p,n:{x:0,y:1},d:-p.y,
                 mu:on?b.mu:MU_TABLE, sv:on?cloth.u:0});
      } else if(p.y<FLOOR_Y){
        cs.push({a:b,b:null,p,n:{x:0,y:1},d:FLOOR_Y-p.y,mu:MU_FLOOR,sv:0});
      }
    }
  });
  for(let i=0;i<bodies.length;i++) for(let j=i+1;j<bodies.length;j++){
    const A=bodies[i], B=bodies[j];
    const reach=Math.hypot(A.hw,A.hh)+Math.hypot(B.hw,B.hh);
    if(Math.hypot(A.x-B.x,A.y-B.y)>reach) continue;
    boxVsBox(A,B,pts[i],cs);
    boxVsBox(B,A,pts[j],cs);
  }
  return cs;
}

// ---- impulse solver ----
function pointVel(b,r){ return {x:b.vx-b.om*r.y, y:b.vy+b.om*r.x}; }
function relVel(c){
  const va=pointVel(c.a,c.ra);
  const vb=c.b?pointVel(c.b,c.rb):{x:c.sv,y:0};
  return {x:va.x-vb.x, y:va.y-vb.y};
}
function eff(c,d){
  const a=c.a, r=c.ra;
  const ra=r.x*d.y-r.y*d.x;
  let k=a.invM+ra*ra*a.invI;
  if(c.b){
    const b=c.b, q=c.rb;
    const rb=q.x*d.y-q.y*d.x;
    k+=b.invM+rb*rb*b.invI;
  }
  return k;
}
function applyImp(c,px,py){
  const a=c.a;
  a.vx+=px*a.invM; a.vy+=py*a.invM;
  a.om+=(c.ra.x*py-c.ra.y*px)*a.invI;
  if(c.b){
    const b=c.b, q=c.rb;
    b.vx-=px*b.invM; b.vy-=py*b.invM;
    b.om-=(q.x*py-q.y*px)*b.invI;
  }
}
function solve(cs){
  for(const c of cs){
    c.ra={x:c.p.x-c.a.x, y:c.p.y-c.a.y};
    c.rb=c.b?{x:c.p.x-c.b.x, y:c.p.y-c.b.y}:null;
    c.t={x:-c.n.y, y:c.n.x};
    c.kn=eff(c,c.n); c.kt=eff(c,c.t);
    const v0=relVel(c);
    c.vn0=v0.x*c.n.x+v0.y*c.n.y;
    const restB=c.vn0<-0.5 ? -REST*c.vn0 : 0;
    c.bias=Math.max(restB, BAUM/DT*Math.max(c.d-SLOP,0));
    c.ln=0; c.lt=0;
  }
  for(let it=0;it<ITER;it++){
    for(const c of cs){
      const v1=relVel(c);
      const vn=v1.x*c.n.x+v1.y*c.n.y;
      const old=c.ln;
      c.ln=Math.max(0, old+(c.bias-vn)/c.kn);
      const dn=c.ln-old;
      if(dn!==0) applyImp(c,dn*c.n.x,dn*c.n.y);

      const v2=relVel(c);
      const vt=v2.x*c.t.x+v2.y*c.t.y;
      const oldT=c.lt, mx=c.mu*c.ln;
      c.lt=Math.max(-mx, Math.min(mx, oldT-vt/c.kt));
      const dT=c.lt-oldT;
      if(dT!==0) applyImp(c,dT*c.t.x,dT*c.t.y);
    }
  }
}

// ---- stepping ----
function physStep(){
  if(cloth.pulling){
    cloth.t+=DT;
    cloth.u=cloth.v*Math.min(1,cloth.t/RAMP);
    cloth.s+=cloth.u*DT;
    if(cloth.v===0 || cloth.s>TABLE_HALF+0.2){ cloth.pulling=false; cloth.u=0; }
  }
  const cs=buildContacts();
  for(const b of bodies) b.vy-=G*DT;
  solve(cs);
  for(const b of bodies){
    b.x+=b.vx*DT; b.y+=b.vy*DT; b.th+=b.om*DT;
  }
  let vmax=0;
  for(const b of bodies) vmax=Math.max(vmax, Math.hypot(b.vx,b.vy), Math.abs(b.om)*0.3);
  tSim+=DT;
  if(!cloth.pulling && vmax<0.03) restT+=DT; else restT=0;
  if(restT>0.5 || tSim>40) finish();
}

function finish(){
  running=false; finished=true;
  for(const b of bodies){
    b.onT = Math.abs(b.x)<=TABLE_HALF && b.y>-0.1;
    b.up  = b.onT && Math.abs(wrap(b.th))<0.61;
  }
  const on=bodies.filter(b=>b.onT).length;
  const up=bodies.filter(b=>b.up).length;
  out.innerHTML=`<b>Settled at ${tSim.toFixed(2)} s.</b> Still on the table: <b>${on} of ${bodies.length}</b>. Still upright: <b>${up} of ${bodies.length}</b>.<ul>`+
    bodies.map(b=>`<li>${b.name}: ${b.onT?'on table':'off table'}${b.onT?(b.up?', upright':', knocked over'):''}</li>`).join('')+`</ul>`;
}

function yank(){
  if(cloth.pulling || cloth.used) return;
  cloth.v=pullSpeed; cloth.t=0; cloth.u=0; cloth.pulling=true; cloth.used=true;
  running=true; finished=false; tSim=0; restT=0;
  btnYank.disabled=true;
  out.textContent=`Pulling at ${+pullSpeed.toFixed(2)} ft/s...`;
}
function reset(){
  clearTimeout(autoTimer);
  bodies=fresh(); cloth=newCloth();
  running=false; finished=false; tSim=0; restT=0;
  btnYank.disabled=false;
  out.textContent='Table reset. Choose a pull speed and yank.';
}

// ---- drawing ----
function shape(b){
  ctx.lineWidth=0.012;
  if(b.kind==='plate'){
    ctx.fillStyle='#fbfaf5'; ctx.strokeStyle='#7f93ab';
    ctx.beginPath(); ctx.ellipse(0,0,0.4,0.03,0,0,Math.PI*2); ctx.fill(); ctx.stroke();
    ctx.beginPath(); ctx.ellipse(0,0,0.27,0.018,0,0,Math.PI*2); ctx.stroke();
  } else if(b.kind==='glass'){
    ctx.fillStyle='rgba(190,225,240,.6)'; ctx.strokeStyle='#d6eefa';
    ctx.beginPath();
    ctx.moveTo(-0.12,0.275); ctx.lineTo(0.12,0.275); ctx.lineTo(0.08,0.0);
    ctx.lineTo(0.03,-0.15); ctx.lineTo(0.03,-0.24); ctx.lineTo(0.09,-0.275);
    ctx.lineTo(-0.09,-0.275); ctx.lineTo(-0.03,-0.24); ctx.lineTo(-0.03,-0.15);
    ctx.lineTo(-0.08,0.0); ctx.closePath(); ctx.fill(); ctx.stroke();
  } else if(b.kind==='candle'){
    ctx.fillStyle='#efe2bf'; ctx.strokeStyle='#9c8a62';
    ctx.fillRect(-0.1,-0.45,0.2,0.9); ctx.strokeRect(-0.1,-0.45,0.2,0.9);
    ctx.fillStyle='#ffb14a';
    ctx.beginPath(); ctx.ellipse(0,0.5,0.05,0.1,0,0,Math.PI*2); ctx.fill();
  } else if(b.kind==='bowl'){
    ctx.fillStyle='#4f7fa8'; ctx.strokeStyle='#2c4d68';
    ctx.beginPath(); ctx.moveTo(-0.25,0.125); ctx.lineTo(0.25,0.125);
    ctx.quadraticCurveTo(0.2,-0.12,0,-0.125);
    ctx.quadraticCurveTo(-0.2,-0.12,-0.25,0.125);
    ctx.closePath(); ctx.fill(); ctx.stroke();
  }
}
function draw(){
  ctx.setTransform(1,0,0,1,0,0);
  ctx.fillStyle='#2b2420'; ctx.fillRect(0,0,W,H);
  // world transform: x right, y up, 1 ft = S px
  ctx.setTransform(S,0,0,-S,OX,OY);
  ctx.fillStyle='#0f0c0a'; ctx.fillRect(-9,-3.4,18,0.4);
  ctx.fillStyle='#4a3324';
  ctx.fillRect(-2.8,-3,0.14,2.7); ctx.fillRect(2.66,-3,0.14,2.7);
  ctx.fillStyle='#7a5536'; ctx.fillRect(-TABLE_HALF,-TABLE_DEPTH,2*TABLE_HALF,TABLE_DEPTH);
  ctx.fillStyle='#8c6640'; ctx.fillRect(-TABLE_HALF,0,2*TABLE_HALF,0.01);

  // cloth
  const s=cloth.s, e=s+CLOTH_L;
  ctx.fillStyle='#efe6d2';
  const a=Math.max(s,-TABLE_HALF), b=Math.min(e,TABLE_HALF);
  if(b>a) ctx.fillRect(a,0,b-a,0.025);
  if(s<-TABLE_HALF) ctx.fillRect(s,-0.6,-TABLE_HALF-s,0.625);
  if(e>TABLE_HALF)  ctx.fillRect(TABLE_HALF,-0.6,Math.min(e,8.4)-TABLE_HALF,0.625);

  for(const bd of bodies){
    ctx.save(); ctx.translate(bd.x,bd.y); ctx.rotate(bd.th); shape(bd); ctx.restore();
  }
}

function updLabel(){ spdLabel.textContent=`${+pullSpeed.toFixed(2)} ft/s`; }

function frame(){
  if(running){ for(let i=0;i<SUB && running;i++) physStep(); }
  draw();
  const moving=bodies.filter(b=>Math.hypot(b.vx,b.vy)>0.03).length;
  hud.textContent = running ? `t = ${tSim.toFixed(2)} s · cloth ${cloth.u.toFixed(1)} ft/s · ${moving} moving`
                  : (finished ? 'settled' : 'ready');
  requestAnimationFrame(frame);
}

// ---- controls ----
spd.addEventListener('input',()=>{ pullSpeed=Number(spd.value); updLabel(); });
btnYank.addEventListener('click',yank);
btnReset.addEventListener('click',reset);

// #speed=12 : set pull speed, yank one second after load
const hm=/speed=([^&]+)/.exec(location.hash||'');
if(hm){
  const v=Number(hm[1]);
  if(isFinite(v)){
    pullSpeed=Math.abs(v);
    spd.value=Math.min(40,pullSpeed);
    updLabel();
    autoTimer=setTimeout(yank,1000);
  }
}
updLabel();
requestAnimationFrame(frame);
})();
</script>
</body>
</html>

What it actually does

Where it resembles the trick. Cloth friction acts on each object's base corners, so objects are dragged, and tipping comes out of the contact torques rather than a script. Slow pulls let each object ride the cloth to the right edge. Fast pulls shorten the slip time, so objects stay put. In between, the candlestick tips, and objects near the right edge slide off.

Where it does not.

Cloth: it is a massless sheet moving at a set speed. It has no mass, no drape, no tension, and no tail. Its speed ramps to full pull in 0.08 s, which slightly softens the fastest yanks.
Shapes: every object is a rigid rectangle. Plates are flat slabs, the glass is a box with the outline drawn on top, and the bowl is a box with a curved drawing. The candle's flame is decoration with no collision.
Contacts: I use vertex-in-box detection with sequential impulses. It can miss edge-to-edge-only crossings, and a sharp tip can jitter. Friction coefficients are per object, not derived from contact area. Footprint width sets the tipping torque and the corner positions.
Candlestick: its width-to-height ratio (0.22) is below its friction coefficient (0.35), so it will tip under drag at most pull speeds. A tipped candle still counts as "on the table" if its center stays over the table.
Glasses and bowl: they are quasi-statically stable under drag, but a hard jolt or a collision can still knock them over.
Fall threshold: an object is "off the table" once its center leaves |x| ≤ 3 ft, or it drops below the table top. A tipped object counts as "upright" only if it is within about 35° of its rest pose. Plates that land flat count as upright.
Settling: the sim stops when every body is below 0.03 ft/s for 0.5 s after the cloth has cleared the table, or after 40 s.
Speed input: the slider covers 0 to 40 ft/s. The hash accepts any number. Negative values are treated as their absolute value, so the cloth always pulls to the right. Very large values just clear the table faster, because friction bounds the object speeds.
Timing: the sim runs 24 substeps per display frame. On a slow or throttled display, the simulation runs slow rather than on wall-clock time.
Prediction gap: the 17.7 and 6.3 ft/s numbers are hand-computed. I did not run this page to check them. Expect the real thresholds to shift because of the cloth ramp, object-to-object hits, and the tipping that the estimate ignores. The most likely error is the upper threshold, since the right-hand glass is the one that depends most on the exact edge position.

Attachments

anthropic/claude-haiku-5.5 — page