init

.idea/.gitignore

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+# Default ignored files
+/shelf/
+/workspace.xml
+# Editor-based HTTP Client requests
+/httpRequests/
+# Datasource local storage ignored files
+/dataSources/
+/dataSources.local.xml

.idea/inspectionProfiles/profiles_settings.xml

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+<component name="InspectionProjectProfileManager">
+  <settings>
+    <option name="USE_PROJECT_PROFILE" value="false" />
+    <version value="1.0" />
+  </settings>
+</component>

.idea/llm-brainstorm.iml

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+<?xml version="1.0" encoding="UTF-8"?>
+<module type="PYTHON_MODULE" version="4">
+  <component name="NewModuleRootManager">
+    <content url="file://$MODULE_DIR$">
+      <excludeFolder url="file://$MODULE_DIR$/.venv" />
+    </content>
+    <orderEntry type="jdk" jdkName="Python 3.13 (llm-brainstorm)" jdkType="Python SDK" />
+    <orderEntry type="sourceFolder" forTests="false" />
+  </component>
+</module>

.idea/misc.xml

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+<?xml version="1.0" encoding="UTF-8"?>
+<project version="4">
+  <component name="Black">
+    <option name="sdkName" value="Python 3.13 (PyCharmMiscProject)" />
+  </component>
+  <component name="ProjectRootManager" version="2" project-jdk-name="Python 3.13 (llm-brainstorm)" project-jdk-type="Python SDK" />
+</project>

.idea/modules.xml

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+<?xml version="1.0" encoding="UTF-8"?>
+<project version="4">
+  <component name="ProjectModuleManager">
+    <modules>
+      <module fileurl="file://$PROJECT_DIR$/.idea/llm-brainstorm.iml" filepath="$PROJECT_DIR$/.idea/llm-brainstorm.iml" />
+    </modules>
+  </component>
+</project>

.idea/vcs.xml

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+<?xml version="1.0" encoding="UTF-8"?>
+<project version="4">
+  <component name="VcsDirectoryMappings">
+    <mapping directory="" vcs="Git" />
+  </component>
+</project>

main.py

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+import os
+
+TOP_K = int(os.getenv("TOP_K", 5))
+
+def play(a,b):
+    return a
+
+def tournament(players):
+    lost_to = {}
+    current = players[:]
+    while len(current) > 1:
+        next_round = []
+        for i in range(0, len(current) - 1, 2):
+            a, b = current[i], current[i + 1]
+            w = play(a, b)
+            loser = b if w == a else a
+            lost_to[loser] = w
+            next_round.append(w)
+        if len(current) % 2 == 1:
+            next_round.append(current[-1])
+        current = next_round
+    champion = current[0]
+    return champion, lost_to
+
+def get_candidates(champion, lost_to):
+    c = {champion}
+    for player, opponent in lost_to.items():
+        if opponent == champion:
+            c.add(player)
+    return list(c)
+
+def playoff(candidates):
+    wins = {p: 0 for p in candidates}
+    for i in range(len(candidates)):
+        for j in range(i + 1, len(candidates)):
+            w = play(candidates[i], candidates[j])
+            wins[w] += 1
+    return sorted(candidates, key=lambda p: wins[p], reverse=True)
+
+def get_top(players, k=TOP_K):
+    champion, lost_to = tournament(players)
+    runnerup = lost_to.get(champion)
+    finalists = [champion] + ([runnerup] if runnerup else [])
+    semifinalists = [p for p, o in lost_to.items() if o in finalists and p not in finalists]
+    candidates = set(finalists + semifinalists)
+    candidates.update(get_candidates(champion, lost_to))
+    ranking = playoff(list(candidates))
+    return ranking[:k]
+
+players = [f"S{i}" for i in range(1, 21)]
+top_picks = get_top(players)
+print(top_picks)