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  "prompt": "You are entering TANK's fixed-plan racing trial. Choose a fish and a three-leg route/pace plan for each of three courses. Optimize average solo finish time across unseen water forecasts. Plans are fixed per course, not policies that adapt to a forecast. The same 96 unseen conditions (32 per course) will evaluate both entrants. They will be generated only after all entries are frozen. No tools or further model calls. One response only. Each entrant has the same $0.50 inference allowance; token ceilings differ by model pricing. This is game performance, not financial returns.\n\nThe code below is the full fish/course catalog, legacy forecast generator (used by v5), and current v5 scoring. Evaluate current v5 time-trial rules only, no drafting and no random racing luck. Each route is 0, 1, or 2. Each pace is 0, 1, or 2 and paces must sum to exactly 3. No training/holdout seeds are provided.\n\nFILE site/cup/catalog.js\nexport const ENTRY='250000', STRATEGY='50000', BONUS='250000', INITIAL_TIDE='2000000';\nexport const FISH=Object.freeze([\n {id:'tide',name:'Tide',species:5,color:'#66d7ed',speed:104,agility:96,endurance:108,description:'A strong finish. Best in long currents.'},\n {id:'ember',name:'Ember',species:4,color:'#ffb180',speed:103,agility:114,endurance:98,description:'Quick turns. At home among the coral.'},\n {id:'comet',name:'Comet',species:1,color:'#e4d287',speed:108,agility:98,endurance:96,description:'Fast in open water. Needs to save energy.'},\n]);\n// Each section has three routes: reef edge, open water, current channel.\nexport const COURSES=Object.freeze([\n {id:'sunlit',name:'Sunlit sprint',description:'Open water, coral turns, then a following current.',terrain:[0,3,1],fatigue:0.25,sections:[\n  {name:'Open water',current:[-4,9,3],turns:[8,0,3]},\n  {name:'Coral bend',current:[6,0,-3],turns:[13,4,0]},\n  {name:'Following tide',current:[0,3,12],turns:[4,0,6]},\n ]},\n {id:'grotto',name:'Grotto passage',description:'Sheltered turns and a difficult final crosscurrent.',terrain:[6,8,10],fatigue:0.25,sections:[\n  {name:'The narrow',current:[8,-4,0],turns:[15,0,5]},\n  {name:'Quiet hollow',current:[3,6,-6],turns:[6,2,0]},\n  {name:'Crosscurrent',current:[8,-8,4],turns:[10,0,6]},\n ]},\n {id:'blue',name:'Blue-water dash',description:'Two fast straights before the reef closes in.',terrain:[0,0,2],fatigue:0.5,sections:[\n  {name:'First current',current:[-2,6,10],turns:[4,0,5]},\n  {name:'Blue straight',current:[-3,12,5],turns:[5,0,2]},\n  {name:'Coral finish',current:[9,-4,2],turns:[14,0,5]},\n ]},\n]);\nexport const ROUTES=['Reef edge','Open water','Current channel'];\nexport const PACES=['Glide','Cruise','Burst'];\nexport const INSTINCT=Object.freeze({routes:[1,1,1],paces:[1,1,1],reason:'Hold open water and keep a steady pace.'});\nexport function checkPlan(plan){\n if(!plan||!Array.isArray(plan.routes)||!Array.isArray(plan.paces)||plan.routes.length!==3||plan.paces.length!==3||![...plan.routes,...plan.paces].every(n=>Number.isInteger(n)&&n>=0&&n<=2)||plan.paces.reduce((a,b)=>a+b,0)!==3||typeof plan.reason!=='string'||plan.reason.length>240)throw Error('invalid-cup-plan');\n return {routes:[...plan.routes],paces:[...plan.paces],reason:plan.reason};\n}\n\n\nFILE site/cup/coaching-v3.js\nimport {FISH,COURSES} from './catalog.js';\nexport const COACH_ENERGY=3;\nconst courseOf=id=>COURSES.find(c=>c.id===id);\nconst fishOf=id=>FISH.find(f=>f.id===id);\n// Domain-separated deterministic draws. This is demo variation, not secret randomness.\nconst number=(seed,domain,slot)=>{\n let h=2166136261;for(const ch of seed+':'+domain+':'+slot)h=Math.imul(h^ch.charCodeAt(0),16777619);\n h=Math.imul(h^(h>>>16),0x21f0aaad);h=Math.imul(h^(h>>>15),0x735a2d97);\n return ((h^(h>>>15))>>>0)/4294967296;\n};\nexport function forecast(course,seed){\n return courseOf(course).sections.map((s,i)=>({name:s.name,routes:s.current.map((base,lane)=>({\n  current:Math.round(base+(number(seed,'current',i*3+lane)-.5)*40),\n  turns:s.turns[lane],distance:[.96,1,1.03][lane],\n  rough:number(seed,'chop',i*3+lane)>.65,\n }))}));\n}\nexport function readChoices(choices){\n if(!Array.isArray(choices)||choices.length>3)throw Error('invalid-cup-choice');\n let energy=COACH_ENERGY,prior=-1;\n return choices.map(c=>{\n  if(!c||Object.keys(c).sort().join(',')!=='at,lane,pace'||![c.lane,c.pace].every(n=>Number.isInteger(n)&&n>=0&&n<=2)||c.pace>energy||!Number.isSafeInteger(c.at)||c.at<0||c.at<prior)throw Error('invalid-cup-choice');\n  energy-=c.pace;prior=c.at;return {lane:c.lane,pace:c.pace,at:c.at};\n });\n}\nexport function legTerms(fish,water,lane,pace,effort=0){\n const f=fishOf(fish),route=water.routes[lane];\n const turning=-route.turns*1.2*(1-(f.agility-100)/25);\n const fatigue=effort*Math.max(2,5-(f.endurance-100)*.18);\n const turbulence=route.rough&&pace===2?16:0;\n // v3 race trim balances the three hulls without changing historical catalog physics.\n const speed=Math.max(40,f.speed+({tide:2,ember:0,comet:-1}[fish])+route.current+turning+(pace-1)*25-fatigue-turbulence);\n return {current:route.current,turning,fatigue,turbulence,distance:route.distance,speed,seconds:650*route.distance/speed};\n}\nfunction decide(fish,water,energy,effort,leg,trailing){\n // Plan against the remaining visible water, never future luck or player input.\n // Tiny personality preferences break near ties without throwing away energy.\n function search(index,left,tired){\n  if(index===3)return {score:0};\n  let best;\n  for(let pace=0;pace<=Math.min(2,left);pace++){\n   const future=search(index+1,left-pace,Math.max(0,tired+pace-(pace===0?1:0)));\n   for(let lane=0;lane<3;lane++){\n    const terms=legTerms(fish,water[index],lane,pace,tired);\n    const preference=(lane==={tide:2,ember:0,comet:1}[fish]?.06:0)+(trailing&&index===leg&&pace===2?.04:0);\n    const option={lane,pace,score:terms.seconds+future.score-preference};\n    if(!best||option.score<best.score)best=option;\n   }\n  }\n  return best;\n }\n return search(leg,energy,effort);\n}\n// Plans remain useful starting suggestions. Choices are saved once at each boundary.\n// Rivals are chosen from the completed legs, never the player's current selection.\nexport function simulateCoached(r){\n const water=forecast(r.course,r.seed),racers=FISH.map(f=>({fish:f.id,sections:[],time:0,tie:number(r.seed,'tie',FISH.indexOf(f)),energy:COACH_ENERGY,effort:0}));\n for(let leg=0;leg<3;leg++){\n  const lead=Math.min(...racers.map(f=>f.time));\n  const decisions=racers.map(f=>decide(f.fish,water,f.energy,f.effort,leg,f.time>lead+150));\n  racers.forEach((f,index)=>{\n   const choice=f.fish===r.fish?(r.choices[leg]||{lane:r.plan.routes[leg],pace:Math.min(r.plan.paces[leg],f.energy)}):decisions[index];\n   const terms=legTerms(f.fish,water[leg],choice.lane,choice.pace,f.effort),luck=(number(r.seed,'luck',leg*3+index)-.5)*6;\n   const duration=Math.round(650000*terms.distance/Math.max(40,terms.speed+luck)),start=f.time;\n   f.time+=duration;f.sections.push({start,duration,end:f.time,lane:choice.lane,pace:choice.pace,terms,luck});\n   f.energy-=choice.pace;f.effort=Math.max(0,f.effort+choice.pace-(choice.pace===0?1:0));\n  });\n }\n return {racers,order:[...racers].sort((a,b)=>a.time-b.time||a.tie-b.tie).map(f=>f.fish),duration:Math.max(...racers.map(r=>r.time)),forecast:water};\n}\nexport function coachingState(r){\n const leg=r.choices.length,result=simulateCoached(r),yours=result.racers.find(f=>f.fish===r.fish),spent=r.choices.reduce((n,c)=>n+c.pace,0);\n const order=[...result.racers].sort((a,b)=>(a.sections[leg-1]?.end||0)-(b.sections[leg-1]?.end||0)||a.tie-b.tie).map(f=>f.fish);\n return {leg,energy:COACH_ENERGY-spent,effort:leg?Math.max(0,r.choices.reduce((n,c)=>Math.max(0,n+c.pace-(c.pace===0?1:0)),0)):0,order,result,\n  rivals:result.racers.filter(f=>f.fish!==r.fish).map(f=>({fish:f.fish,...f.sections[Math.min(leg,2)]})),\n  previous:leg?yours.sections[leg-1]:null};\n}\n\n\nFILE site/cup/racing-v5.js\nimport {FISH} from './catalog.js';\nimport {forecast as oldForecast} from './coaching-v3.js';\nexport const RACING_VERSION=5;\nexport const FISH_STYLE={tide:'Endurance: fatigue costs less speed.',ember:'Agility: loses less speed in coral turns.',comet:'Sprint: strongest burst in calm, open water.'};\nexport const ROUTE_STYLE=['Longer shelter · sheds 2 fatigue','Full distance · no route strain','Short cut · adds 2 fatigue'];\nconst draw=(seed,domain,n)=>{let h=2166136261;for(const c of seed+':v5:'+domain+':'+n)h=Math.imul(h^c.charCodeAt(0),16777619);h=Math.imul(h^(h>>>16),0x21f0aaad);h=Math.imul(h^(h>>>15),0x735a2d97);return ((h^(h>>>15))>>>0)/4294967296;};\nexport function racingForecast(course,seed){return oldForecast(course,seed).map(s=>({...s,routes:s.routes.map((r,lane)=>({...r,distance:[1.06,1,.84][lane],strain:[-2,0,2][lane],rough:lane===0?false:r.rough}))}));}\n// Energy is spent once; fatigue changes speed and carries between legs. Both games use these terms.\nexport function racingTerms(fish,water,lane,pace,effort=0,drafting=null){\n const f=FISH.find(f=>f.id===fish),r=water.routes[lane];\n const nextEffort=Math.max(0,effort+[-1,1,3][pace]+r.strain);\n const turning=-r.turns*1.2*(1-(f.agility-100)/25);\n const fatigue=(effort+Math.max(0,nextEffort-effort)*.35)*({tide:4.2,ember:6,comet:6.8}[fish]);\n const turbulence=r.rough&&pace===2?20:0;\n const burst=pace===2?({tide:26,ember:29,comet:39}[fish]):pace===0?-22:0;\n const draft=pace===1&&drafting?.lane===lane?drafting:null;\n const speed=Math.max(35,f.speed+({tide:2,ember:2,comet:-2}[fish])+r.current+turning+burst-fatigue-turbulence+(draft?8:0));\n return {current:r.current,turning,fatigue,turbulence,distance:r.distance,speed,seconds:650*r.distance/speed,effort,nextEffort,strain:r.strain,drafting:draft?.fish||null};\n}\nexport function draftOpportunity(racers,fish,leg){\n if(!leg)return null;const yours=racers.find(r=>r.fish===fish),end=yours.sections[leg-1].end;\n const ahead=racers.filter(r=>r.fish!==fish&&end-r.sections[leg-1].end>0&&end-r.sections[leg-1].end<=1400).sort((a,b)=>b.sections[leg-1].end-a.sections[leg-1].end)[0];\n return ahead?{fish:ahead.fish,lane:ahead.sections[leg-1].lane,gap:(end-ahead.sections[leg-1].end)/1000}:null;\n}\nexport function racingOptions(fish,water,energy,effort,leg,drafting=null){\n const memo=new Map();\n function options(index,left,tired){const all=[];for(let pace=0;pace<=Math.min(2,left);pace++)for(let lane=0;lane<3;lane++){const t=racingTerms(fish,water[index],lane,pace,tired,index===leg?drafting:null);all.push({lane,pace,score:t.seconds+search(index+1,left-pace,t.nextEffort)});}return all.sort((a,b)=>a.score-b.score||a.lane-b.lane||a.pace-b.pace);}\n function search(index,left,tired){if(index===3)return 0;const key=[index,left,tired].join(':');if(!memo.has(key))memo.set(key,options(index,left,tired)[0].score);return memo.get(key);}\n return options(leg,energy,effort);\n}\nexport function planTrace(fish,water,plan){let effort=0;return water.map((w,i)=>{const t=racingTerms(fish,w,plan.routes[i],plan.paces[i],effort);effort=t.nextEffort;return t;});}\nexport function simulateRacing(r){\n const water=racingForecast(r.course,r.seed),racers=FISH.map((f,i)=>({fish:f.id,sections:[],time:0,tie:draw(r.seed,'tie',i),energy:3,effort:0}));\n for(let leg=0;leg<3;leg++){\n  // Snapshot all drafting opportunities before anyone advances. Future choices cannot rewrite an earlier leg.\n  const drafts=racers.map(f=>r.timeTrial?null:draftOpportunity(racers,f.fish,leg));\n  const moves=racers.map((f,i)=>{if(f.fish===r.fish)return r.choices[leg]||{lane:r.plan.routes[leg],pace:Math.min(r.plan.paces[leg],f.energy)};\n   const options=racingOptions(f.fish,water,f.energy,f.effort,leg,drafts[i]),close=options.filter(o=>o.score<=options[0].score+.20);\n   return close[Math.floor(draw(r.seed,'decision',leg*3+i)*close.length)];});\n  racers.forEach((f,i)=>{const c=moves[i],terms=racingTerms(f.fish,water[leg],c.lane,c.pace,f.effort,drafts[i]),luck=r.timeTrial?0:(draw(r.seed,'water',leg*3+i)-.5)*3;\n   const duration=Math.round(650000*terms.distance/Math.max(35,terms.speed+luck)),start=f.time,energyBefore=f.energy;f.time+=duration;f.energy-=c.pace;f.effort=terms.nextEffort;\n   f.sections.push({start,duration,end:f.time,lane:c.lane,pace:c.pace,terms,luck,energyBefore,energyAfter:f.energy});});\n }\n return {racers,order:[...racers].sort((a,b)=>a.time-b.time||a.tie-b.tie).map(f=>f.fish),duration:Math.max(...racers.map(f=>f.time)),forecast:water};\n}\n\n\nReturn ONLY JSON with exactly one key plans, containing exactly sunlit, grotto, and blue. Each plan has exactly fish, routes, and paces. fish is tide, ember, or comet. Example shape: {\"plans\":{\"sunlit\":{\"fish\":\"tide\",\"routes\":[1,1,1],\"paces\":[1,1,1]},\"grotto\":{\"fish\":\"ember\",\"routes\":[1,1,1],\"paces\":[1,1,1]},\"blue\":{\"fish\":\"comet\",\"routes\":[1,1,1],\"paces\":[1,1,1]}}}. Choose your best plans.",
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