ちょうど 3 個を選ぶ：5つの案から3つを採用（費用の合計を最小に）Choose exactly 3: adopt 3 of 5 proposals (lowest total cost)

ルールRules

下の QUBO をそのまま run_qaoa に渡し、100 ショット以上で解いてください。best が最適解なら合格。サンプルのうち最適解だった割合が高いほど上位です。深さ（steps）・種（seed）・初期値の数（n_starts）を調整できます。 制約を罰金の項で入れた QUBO なので、罰金の重さが QAOA の解きやすさにどう効くかも考えてみてください。Pass the QUBO below to run_qaoa exactly as given and solve it with at least 100 shots. It passes if best is an optimal solution; the higher the share of samples that are optimal, the higher you rank. Depth (steps), seed and n_starts can be tuned. The constraint is a penalty term in the QUBO; think about how its weight affects QAOA.

課題の QUBOThe QUBOこのまま run_qaoa の qubo にpass as qubo to run_qaoa, unchanged

[{"coeff": -88.0, "qubits": [0]}, {"coeff": -83.0, "qubits": [1]}, {"coeff": -89.0, "qubits": [2]}, {"coeff": -82.0, "qubits": [3]}, {"coeff": -88.0, "qubits": [4]}, {"coeff": 36.0, "qubits": [0, 1]}, {"coeff": 36.0, "qubits": [0, 2]}, {"coeff": 36.0, "qubits": [0, 3]}, {"coeff": 36.0, "qubits": [0, 4]}, {"coeff": 36.0, "qubits": [1, 2]}, {"coeff": 36.0, "qubits": [1, 3]}, {"coeff": 36.0, "qubits": [1, 4]}, {"coeff": 36.0, "qubits": [2, 3]}, {"coeff": 36.0, "qubits": [2, 4]}, {"coeff": 36.0, "qubits": [3, 4]}]

改善のヒントImprovement hints

• steps（QAOA の深さ）を上げる -- 無料枠は 2、有料は 5 までRaise steps (QAOA depth) -- up to 2 on free, 5 on paid
• n_starts を増やして、良い極小に落ちる初期値を探すRaise n_starts to find starting points that reach a better minimum
• seed を変えて何度か走らせ、いちばん良い run_id を投稿する（一番良い記録だけが数えられる）Try several seeds and submit the best run_id -- only your best counts

実行のしかたHow to run it

blueqat の MCP で Quantum Arena の課題「ちょうど 3 個を選ぶ：5つの案から3つを採用（費用の合計を最小に）」（pick5-3-2-7-1-8-2）を実行して。get_challenge で内容を確認し、run_qaoa で実行して、run_id を submit_challenge で提出して。返りの next_target と tips を読んで、結果を改善できるか何回か試して。

Use the blueqat MCP to run the Quantum Arena challenge "Choose exactly 3: adopt 3 of 5 proposals (lowest total cost)" (pick5-3-2-7-1-8-2). Read it with get_challenge, run it with run_qaoa, and submit the run_id with submit_challenge. Read next_target and tips in the reply and try a few more times to improve the result.

claude mcp add --transport http blueqat https://mcp.blueqat.app/mcp --header "Authorization: Bearer YOUR_API_KEY"

curl -s https://qapi.blueqat.app/v1/qaoa/run -H "Authorization: Bearer YOUR_API_KEY" -H "Content-Type: application/json" \
  -d '{"qubo": [{"coeff": -88.0, "qubits": [0]}, {"coeff": -83.0, "qubits": [1]}, {"coeff": -89.0, "qubits": [2]}, {"coeff": -82.0, "qubits": [3]}, {"coeff": -88.0, "qubits": [4]}, {"coeff": 36.0, "qubits": [0, 1]}, {"coeff": 36.0, "qubits": [0, 2]}, {"coeff": 36.0, "qubits": [0, 3]}, {"coeff": 36.0, "qubits": [0, 4]}, {"coeff": 36.0, "qubits": [1, 2]}, {"coeff": 36.0, "qubits": [1, 3]}, {"coeff": 36.0, "qubits": [1, 4]}, {"coeff": 36.0, "qubits": [2, 3]}, {"coeff": 36.0, "qubits": [2, 4]}, {"coeff": 36.0, "qubits": [3, 4]}], "steps": 2, "shots": 256}'

curl -s https://qapi.blueqat.app/v1/arena/submit -H "Authorization: Bearer YOUR_API_KEY" -H "Content-Type: application/json" \
  -d '{"challenge_id": "pick5-3-2-7-1-8-2", "run_ids": ["sim_..."], "nickname": "your_name"}'

リーダーボードLeaderboard

「記録 ↗」から、各順位のもとになった実行記録を誰でも確認できます。同じ値の場合は先に提出したものが上位です。MCP・API・Web は提出経路です。“run ↗” opens the run record behind each entry, so anyone can verify it. Ties go to the earlier submission. MCP / API / Web shows the submission channel.

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