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  "$type": "site.standard.document",
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  "path": "/t/water-jug-puzzle-discussion-thread/221586#post_7",
  "publishedAt": "2026-02-16T09:33:42.000Z",
  "site": "https://community.openai.com",
  "textContent": "No. LLMs are capable enough to give a complete solution.\n\nMy rewriting of the problem, orienting the language towards the problem-solving agent, and stating its permissible actions that can be sequenced, clearly:\n\n> You are provided 2 jugs, neither of which is marked in sub-units of its full capacity.\n>\n>   * The first jug is called Jug A and holds 1 liter of fluid.\n>   * The second jug is called Jug B and hold 3 liters of fluid.\n>\n\n>\n> Two colored liquids can be dispensed to fill any jug: Blue or Yellow.\n>  Goal: Using a series of steps, provide a total of 3 liters contained in jugs, comprised of an equal mixture of Blue and Yellow liquids.\n>\n> The actions that that are possible at any step:\n>  A. Fill Jug A with Yellow.\n>  B. Fill Jug B with Yellow.\n>  C. Fill Jug A with Blue.\n>  D. Fill Jug B with Blue.\n>  E. Empty Jug A into Jug B.\n>  F. Pour Jug B into Jug A until jug A is full…\n>  G. Empty Jug A onto the floor.\n>  H. Empty Jug B onto the floor.\n>\n> Provide the correct sequence of steps to yield three contained liters of an equal mixture: 1.5 liters blue; 1.5 liters yellow.\n\n## GPT-5.2 xhigh\n\nStart with both jugs empty.\n\nI’ll track the _amounts_ of Blue (B) and Yellow (Y) in each jug after every step.\n\nCapacities: Jug A = 1 L, Jug B = 3 L.\n\n* * *\n\n## Sequence of actions (letters)\n\n**C, E, A, E, F, G, A, E, C, E**\n\n* * *\n\n## What happens at each step\n\nStep | Action | Jug A contents | Jug B contents\n---|---|---|---\n1 | **C** (Fill A with Blue) | 1 L = (1B, 0Y) | 0 L\n2 | **E** (Empty A into B) | 0 L | 1 L = (1B, 0Y)\n3 | **A** (Fill A with Yellow) | 1 L = (0B, 1Y) | 1 L = (1B, 0Y)\n4 | **E** (Empty A into B) | 0 L | 2 L = (1B, 1Y) _(a 50/50 mix)_\n5 | **F** (Pour B into A until A is full) | 1 L = (0.5B, 0.5Y) | 1 L = (0.5B, 0.5Y)\n6 | **G** (Empty A onto the floor) | 0 L | 1 L = (0.5B, 0.5Y)\n7 | **A** (Fill A with Yellow) | 1 L = (0B, 1Y) | 1 L = (0.5B, 0.5Y)\n8 | **E** (Empty A into B) | 0 L | 2 L = (0.5B, 1.5Y)\n9 | **C** (Fill A with Blue) | 1 L = (1B, 0Y) | 2 L = (0.5B, 1.5Y)\n10 | **E** (Empty A into B) | 0 L | **3 L = (1.5B, 1.5Y)**\n\n* * *\n\n## Result\n\nAt the end:\n\n  * **Jug B contains 3 liters total**\n  * Composition is **1.5 L Blue + 1.5 L Yellow** (an equal mixture)\n  * Jug A is empty\n\n\n\nThat meets the goal exactly.\n\n* * *\n\n### Optional (if you prefer the 3 liters split between the two jugs)\n\nAfter step 10, do:\n\n  * **F** (Pour Jug B into Jug A until Jug A is full)\n\n\n\nThen you’ll have:\n\n  * Jug A: 1 L of 50/50 mix\n  * Jug B: 2 L of 50/50 mix\nTotal still 3 L, still 1.5 L blue and 1.5 L yellow overall.\n\n\n\n* * *\n\nOr my own phrasing before getting an AI answer:\n\nFill the 3L jug with 1L blue and 1L yellow from the 1L jug. 50%\nTransfer that mixture to the 1L jug and dump the rest: 50% still\n1L of 50% Back to the 3L jug, and measure out another 1L + 1L.\n\nThe AI just measures how much it discards instead of how much it keeps.",
  "title": "Water Jug Puzzle discussion thread"
}