tray.svg · 68 lines
<svg xmlns="http://www.w3.org/2000/svg" width="1200" height="900" viewBox="0 0 1200 900" role="img" aria-labelledby="title desc">
<title id="title">No valid tray assignment</title>
<desc id="desc">The six drinks and the tables each could accept are shown. A conflict between Tables 1, 2, 3 and 4 means no complete valid assignment exists.</desc>
<defs>
<linearGradient id="bg" x2="0" y2="1"><stop stop-color="#f8f4eb"/><stop offset="1" stop-color="#eee5d6"/></linearGradient>
<linearGradient id="tray" x2="0" y2="1"><stop stop-color="#d9b98e"/><stop offset="1" stop-color="#c69d6d"/></linearGradient>
<filter id="shadow" x="-20%" y="-20%" width="140%" height="150%"><feDropShadow dx="0" dy="5" stdDeviation="6" flood-color="#56391f" flood-opacity=".16"/></filter>
<style>
text{font-family:Arial,Helvetica,sans-serif;fill:#2d2924}.title{font-size:34px;font-weight:800;letter-spacing:.4px}.sub{font-size:16px;fill:#685d50}.drink{font-size:18px;font-weight:700}.detail{font-size:13px;fill:#71665b}.smallcap{font-size:10px;font-weight:700;letter-spacing:1.2px;fill:#877665}.table{font-size:12px;font-weight:700;fill:#fff}.proofhead{font-size:17px;font-weight:800;fill:#693a2e}.proof{font-size:14px;fill:#493d33}
</style>
</defs>
<rect width="1200" height="900" fill="url(#bg)"/>
<text x="600" y="57" text-anchor="middle" class="title">A TRAY THAT CAN’T BE ASSIGNED</text>
<text x="600" y="86" text-anchor="middle" class="sub">All six drinks are here; the table requirements leave no one-to-one match.</text>
<!-- Serving tray -->
<rect x="55" y="112" width="1090" height="500" rx="42" fill="url(#tray)" stroke="#aa8053" stroke-width="3" filter="url(#shadow)"/>
<rect x="72" y="129" width="1056" height="466" rx="32" fill="none" stroke="#eddbbd" stroke-width="2" opacity=".72"/>
<!-- Drink cards -->
<g filter="url(#shadow)">
<rect x="92" y="151" width="320" height="205" rx="20" fill="#fffdf8"/>
<rect x="440" y="151" width="320" height="205" rx="20" fill="#fffdf8"/>
<rect x="788" y="151" width="320" height="205" rx="20" fill="#fffdf8"/>
<rect x="92" y="377" width="320" height="205" rx="20" fill="#fffdf8"/>
<rect x="440" y="377" width="320" height="205" rx="20" fill="#fffdf8"/>
<rect x="788" y="377" width="320" height="205" rx="20" fill="#fffdf8"/>
</g>
<!-- Simple cup marks -->
<g fill="none" stroke="#a86d43" stroke-width="3" stroke-linecap="round" stroke-linejoin="round">
<path d="M117 176h32l-4 31h-24z M149 182h7q7 0 4 9q-2 5-9 4"/><path d="M126 168q-5-7 0-12 M137 168q-5-7 0-12"/>
<path d="M465 176h32l-4 31h-24z M497 182h7q7 0 4 9q-2 5-9 4"/><path d="M474 168q-5-7 0-12 M485 168q-5-7 0-12"/>
<path d="M813 176h32l-4 31h-24z M845 182h7q7 0 4 9q-2 5-9 4"/><path d="M822 168q-5-7 0-12 M833 168q-5-7 0-12"/>
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<path d="M813 402h32l-4 31h-24z M845 408h7q7 0 4 9q-2 5-9 4"/><path d="M822 394q-5-7 0-12 M833 394q-5-7 0-12"/>
</g>
<g>
<text x="169" y="187" class="drink">Vanilla cortado</text><text x="117" y="230" class="detail">Dairy · vanilla · hot</text><text x="117" y="267" class="smallcap">COULD GO TO TABLE</text>
<rect x="117" y="280" width="38" height="25" rx="12" fill="#6d7e55"/><text x="136" y="297" text-anchor="middle" class="table">1</text><rect x="163" y="280" width="38" height="25" rx="12" fill="#6d7e55"/><text x="182" y="297" text-anchor="middle" class="table">3</text><rect x="209" y="280" width="38" height="25" rx="12" fill="#6d7e55"/><text x="228" y="297" text-anchor="middle" class="table">4</text>
<text x="517" y="187" class="drink">Decaf cortado</text><text x="465" y="230" class="detail">Dairy · decaf · hot</text><text x="465" y="267" class="smallcap">COULD GO TO TABLE</text>
<rect x="465" y="280" width="38" height="25" rx="12" fill="#6d7e55"/><text x="484" y="297" text-anchor="middle" class="table">1</text><rect x="511" y="280" width="38" height="25" rx="12" fill="#6d7e55"/><text x="530" y="297" text-anchor="middle" class="table">2</text><rect x="557" y="280" width="38" height="25" rx="12" fill="#6d7e55"/><text x="576" y="297" text-anchor="middle" class="table">4</text>
<text x="865" y="187" class="drink">Decaf oat vanilla latte</text><text x="813" y="230" class="detail">Oat · decaf · vanilla · hot</text><text x="813" y="267" class="smallcap">COULD GO TO TABLE</text>
<rect x="813" y="280" width="38" height="25" rx="12" fill="#6d7e55"/><text x="832" y="297" text-anchor="middle" class="table">2</text><rect x="859" y="280" width="38" height="25" rx="12" fill="#6d7e55"/><text x="878" y="297" text-anchor="middle" class="table">3</text>
<text x="169" y="413" class="drink">Iced oat latte</text><text x="117" y="456" class="detail">Oat · cold</text><text x="117" y="493" class="smallcap">COULD GO TO TABLE</text>
<rect x="117" y="506" width="38" height="25" rx="12" fill="#6d7e55"/><text x="136" y="523" text-anchor="middle" class="table">5</text>
<text x="517" y="413" class="drink">Cold brew</text><text x="465" y="456" class="detail">Black · cold</text><text x="465" y="493" class="smallcap">COULD GO TO TABLE</text>
<rect x="465" y="506" width="38" height="25" rx="12" fill="#6d7e55"/><text x="484" y="523" text-anchor="middle" class="table">5</text><rect x="511" y="506" width="38" height="25" rx="12" fill="#6d7e55"/><text x="530" y="523" text-anchor="middle" class="table">6</text>
<text x="865" y="413" class="drink">Filter coffee</text><text x="813" y="456" class="detail">Black · hot</text><text x="813" y="493" class="smallcap">COULD GO TO TABLE</text>
<rect x="813" y="506" width="38" height="25" rx="12" fill="#6d7e55"/><text x="832" y="523" text-anchor="middle" class="table">6</text>
</g>
<!-- Explanation -->
<rect x="91" y="638" width="1018" height="212" rx="22" fill="#fffaf2" stroke="#c89b81" stroke-width="2"/>
<circle cx="132" cy="681" r="18" fill="#a74636"/><text x="132" y="688" text-anchor="middle" font-size="22" font-weight="800" fill="#fff">!</text>
<text x="163" y="687" class="proofhead">The blocking conflict</text>
<text x="123" y="724" class="proof">Tables 1 and 4 both require dairy, so they must take the two dairy drinks:</text>
<text x="123" y="748" class="proof" font-weight="700">Vanilla cortado + decaf cortado.</text>
<text x="123" y="780" class="proof">That leaves the decaf oat vanilla latte as the only drink for Table 2 (decaf)</text>
<text x="123" y="804" class="proof">and Table 3 (vanilla)—but one drink cannot go to both tables.</text>
<text x="600" y="878" text-anchor="middle" class="smallcap">CANDIDATE TABLES ARE SHOWN ON EACH CUP · NO COMPLETE ONE-DRINK-PER-TABLE TRAY EXISTS</text>
</svg>A serving tray where four tables will only take three drinks: GPT-6 Luna
modelopenai/gpt-6-lunataskcup-allocation-impossible@v2, checks c1, harness h1date2026-11-08rounds1 of 8 allowed, 12 minutes on the clockcost$0.0162thinkingmediumtokens15,655 in, 5,504 out, of which 2,593 reasoningtime46 s
Says it cannot be donedecided by a number, from the filepass
Reuses nothingdecided by a number, from the filen/d
There is no post about this one, since only some results need one, so the picture, the source and the scoring are here instead.
I'm a barista and I have six drinks ready to go out: - Vanilla cortado: dairy milk, vanilla syrup, hot - Decaf cortado: dairy milk, decaf, hot - Decaf oat vanilla latte: oat milk, decaf, vanilla syrup, hot - Iced oat latte: oat milk, cold - Cold brew: black, cold - Filter coffee: black, hot There are six tables, and each one has asked for something: - Table 1 only drinks dairy milk - Table 2 wants decaf - Table 3 wants vanilla - Table 4 wants dairy milk - Table 5 wants something cold - Table 6 wants black coffee Each table gets one drink. Each drink goes to one table. Draw the tray as tray.svg. Label every cup with its table number and the drink's name.Frozen at v2. This model got this and nothing else.
Tables 1, 2, 3 and 4 together will only take the three drinks A, B and C, so no serving of all six exists, and the checker confirms that with its own perfect-matching solver. The right answer says so and draws nothing. Every table still has a drink it will take on its own, so the shortage is only visible across the tables together. How it is scored, and this run's files on GitHub.