/home/llmeval/.local/share/uv/tools/cubbi/lib/python3.12/site-packages/click/core.py:1213: UserWarning: The parameter -m is used more than once. Remove its duplicate as parameters should be unique.
  parser = self.make_parser(ctx)
/home/llmeval/.local/share/uv/tools/cubbi/lib/python3.12/site-packages/click/core.py:1206: UserWarning: The parameter -m is used more than once. Remove its duplicate as parameters should be unique.
  self.parse_args(ctx, args)
Using UID: 1000, GID: 1000
Forwarding environment variable OPENROUTER_API_KEY to container
Mounting local directory /home/llmeval/llmeval/runs/run_20260130_150112/task14_graph_money_distribution/openrouter-google-gemini-2.5-flash-lite-preview-09-2025/workspace to /app
No project_name provided - skipping configuration directory setup.
Session created successfully!
Session ID: 0c5de0cd
Image: opencode
Executing command and waiting for completion...
Container will exit after command completes.
Command logs:
Initializing opencode v1.0.0
Setting up user 'cubbi' with UID: 1000, GID: 1000
Setting up standard directories
Created directory: /app
Created directory: /cubbi-config
Created directory: /cubbi-config/home
Creating /home/cubbi as symlink to /cubbi-config/home
Created directory: /cubbi-config/home/.local
Copied /root/.local/bin to user directory
Running opencode-specific initialization
Added litellm custom provider with 153 models to OpenCode configuration
Added openrouter standard provider with 346 models to OpenCode configuration
Set default model to openrouter/google/gemini-2.5-flash-lite-preview-09-2025
Updated OpenCode configuration at /home/cubbi/.config/opencode/config.json with 2 providers
No MCP servers to integrate
--- Executing initial command ---
Executing user command:
    if [ -f install.sh ]; then bash install.sh; fi;
    echo "--- TASK BEGIN ---"; cat task.md; echo "--- TASK END ---";
    cd input && opencode run --print-logs < ../task.md

Executing as cubbi: sh -c
    if [ -f install.sh ]; then bash install.sh; fi;
    echo "--- TASK BEGIN ---"; cat task.md; echo "--- TASK END ---";
    cd input && opencode run --print-logs < ../task.md

--- TASK BEGIN ---
# Deterministic Money Distribution on a Directed Graph

You must compute the final money distribution on a directed graph following precise rules.

## Graph Structure

**CONDUCTOR nodes**: C1 through C10
**BENEFICIARY nodes**: B1 through B10 (each Ci has exactly one Bi)

**Directed edges between CONDUCTORs**:
```
C1 --> C2
C2 --> C3
C3 --> C4
C4 --> C2
C4 --> C5
C5 --> C6
C6 --> C7
C7 --> C5
C7 --> C8
C8 --> C9
C9 --> C10
C10 --> C6
```

## Initial Conditions

Solve for **three scenarios**:

1. **Scenario A**: C4 receives **5 cents**. All other nodes start with 0 cents.
2. **Scenario B**: C4 receives **50 cents**. All other nodes start with 0 cents.
3. **Scenario C**: C4 receives **100 cents**. All other nodes start with 0 cents.

## Distribution Rules

When a CONDUCTOR Ci receives N > 0 cents, it distributes ALL N cents in a single step to:
- Its BENEFICIARY Bi
- All CONDUCTORs it has outgoing edges to

**Split Rule**:
1. Divide money equally among all participants
2. Remaining cents (from integer division) are distributed one by one
3. **Tie-break order**: BENEFICIARY first, then CONDUCTORs alphabetically (C1 < C2 < ... < C10)

**Example**: 8 cents split among [B4, C2, C5]:
- 8 / 3 = 2 each, remainder = 2
- Distribution order: B4, C2, C5
- Final: B4=3, C2=3, C5=2

## Recursion

Any CONDUCTOR receiving positive money repeats the same distribution.
BENEFICIARY nodes absorb money and never redistribute.

## Termination

Process ends when no CONDUCTOR holds positive money.

## Your Task

Compute the final amount held by each BENEFICIARY after the process terminates, for all three scenarios.

## Required Output

Create three files:

**`result_5.json`** (for Scenario A - 5 cents):
```json
{
  "B1": <cents>,
  "B2": <cents>,
  "B3": <cents>,
  "B4": <cents>,
  "B5": <cents>,
  "B6": <cents>,
  "B7": <cents>,
  "B8": <cents>,
  "B9": <cents>,
  "B10": <cents>
}
```

**`result_50.json`** (for Scenario B - 50 cents):
```json
{
  "B1": <cents>,
  "B2": <cents>,
  "B3": <cents>,
  "B4": <cents>,
  "B5": <cents>,
  "B6": <cents>,
  "B7": <cents>,
  "B8": <cents>,
  "B9": <cents>,
  "B10": <cents>
}
```

**`result_100.json`** (for Scenario C - 100 cents):
```json
{
  "B1": <cents>,
  "B2": <cents>,
  "B3": <cents>,
  "B4": <cents>,
  "B5": <cents>,
  "B6": <cents>,
  "B7": <cents>,
  "B8": <cents>,
  "B9": <cents>,
  "B10": <cents>
}
```

PS: You are currently working in an automated system and cannot ask any question or have back and forth with a user.
--- TASK END ---
INFO  2026-01-30T15:32:34 +841ms service=default version=1.1.17 args=["run","--print-logs"] opencode
INFO  2026-01-30T15:32:34 +2ms service=default directory=/app/input creating instance
INFO  2026-01-30T15:32:34 +0ms service=project directory=/app/input fromDirectory
INFO  2026-01-30T15:32:34 +35ms service=storage index=0 running migration
ERROR 2026-01-30T15:32:34 +16ms service=storage index=0 failed to run migration
INFO  2026-01-30T15:32:34 +14ms service=storage index=1 running migration
INFO  2026-01-30T15:32:34 +5ms service=default directory=/app/input bootstrapping
INFO  2026-01-30T15:32:34 +22ms service=config path=/home/cubbi/.config/opencode/config.json loading
INFO  2026-01-30T15:32:34 +59ms service=config path=/home/cubbi/.config/opencode/opencode.json loading
INFO  2026-01-30T15:32:35 +23ms service=config path=/home/cubbi/.config/opencode/opencode.jsonc loading
INFO  2026-01-30T15:32:35 +7ms service=bun cmd=["/opt/node/lib/node_modules/opencode-ai/node_modules/opencode-linux-x64/bin/opencode","add","@opencode-ai/plugin@1.1.17","--exact"] cwd=/home/cubbi/.config/opencode running
INFO  2026-01-30T15:32:35 +625ms service=bun code=0 stdout=bun add v1.3.5 (1e86cebd)

installed @opencode-ai/plugin@1.1.17

3 packages installed [589.00ms]
 stderr=Resolving dependencies
Resolved, downloaded and extracted [12]
Saved lockfile
 done
INFO  2026-01-30T15:32:35 +2ms service=bun cmd=["/opt/node/lib/node_modules/opencode-ai/node_modules/opencode-linux-x64/bin/opencode","install"] cwd=/home/cubbi/.config/opencode running
INFO  2026-01-30T15:32:35 +25ms service=bun code=0 stdout=bun install v1.3.5 (1e86cebd)

Checked 3 installs across 4 packages (no changes) [6.00ms]
 stderr= done
INFO  2026-01-30T15:32:35 +17ms service=plugin name=CodexAuthPlugin loading internal plugin
INFO  2026-01-30T15:32:35 +2ms service=plugin path=opencode-copilot-auth@0.0.12 loading plugin
INFO  2026-01-30T15:32:35 +3ms service=bun pkg=opencode-copilot-auth version=0.0.12 installing package using Bun's default registry resolution
INFO  2026-01-30T15:32:35 +0ms service=bun cmd=["/opt/node/lib/node_modules/opencode-ai/node_modules/opencode-linux-x64/bin/opencode","add","--force","--exact","--cwd","/home/cubbi/.cache/opencode","opencode-copilot-auth@0.0.12"] cwd=/home/cubbi/.cache/opencode running
INFO  2026-01-30T15:32:35 +219ms service=bun code=0 stdout=bun add v1.3.5 (1e86cebd)

installed opencode-copilot-auth@0.0.12

1 package installed [194.00ms]
 stderr=Resolving dependencies
Resolved, downloaded and extracted [4]
Saved lockfile
 done
INFO  2026-01-30T15:32:35 +5ms service=plugin path=opencode-anthropic-auth@0.0.8 loading plugin
INFO  2026-01-30T15:32:35 +1ms service=bun pkg=opencode-anthropic-auth version=0.0.8 installing package using Bun's default registry resolution
INFO  2026-01-30T15:32:35 +0ms service=bun cmd=["/opt/node/lib/node_modules/opencode-ai/node_modules/opencode-linux-x64/bin/opencode","add","--force","--exact","--cwd","/home/cubbi/.cache/opencode","opencode-anthropic-auth@0.0.8"] cwd=/home/cubbi/.cache/opencode running
INFO  2026-01-30T15:32:36 +624ms service=bun code=0 stdout=bun add v1.3.5 (1e86cebd)

+ opencode-copilot-auth@0.0.12

installed opencode-anthropic-auth@0.0.8

14 packages installed [612.00ms]
 stderr=Resolving dependencies
Resolved, downloaded and extracted [50]
Saved lockfile
 done
INFO  2026-01-30T15:32:36 +68ms service=bus type=* subscribing
INFO  2026-01-30T15:32:36 +1ms service=bus type=session.updated subscribing
INFO  2026-01-30T15:32:36 +0ms service=bus type=message.updated subscribing
INFO  2026-01-30T15:32:36 +0ms service=bus type=message.part.updated subscribing
INFO  2026-01-30T15:32:36 +0ms service=bus type=session.updated subscribing
INFO  2026-01-30T15:32:36 +0ms service=bus type=message.updated subscribing
INFO  2026-01-30T15:32:36 +0ms service=bus type=message.part.updated subscribing
INFO  2026-01-30T15:32:36 +0ms service=bus type=session.diff subscribing
INFO  2026-01-30T15:32:36 +0ms service=format init
INFO  2026-01-30T15:32:36 +0ms service=bus type=file.edited subscribing
INFO  2026-01-30T15:32:36 +3ms service=lsp serverIds=deno, typescript, vue, eslint, oxlint, biome, gopls, ruby-lsp, pyright, elixir-ls, zls, csharp, fsharp, sourcekit-lsp, rust, clangd, svelte, astro, jdtls, kotlin-ls, yaml-ls, lua-ls, php intelephense, prisma, dart, ocaml-lsp, bash, terraform, texlab, dockerfile, gleam, clojure-lsp, nixd, tinymist, haskell-language-server enabled LSP servers
INFO  2026-01-30T15:32:36 +8ms service=bus type=command.executed subscribing
INFO  2026-01-30T15:32:36 +72ms service=server method=POST path=/session request
INFO  2026-01-30T15:32:36 +0ms service=server status=started method=POST path=/session request
INFO  2026-01-30T15:32:36 +8ms service=session id=ses_3f077172dffeY0dlgG6zNWmxWo version=1.1.17 projectID=global directory=/app/input title=New session - 2026-01-30T15:32:36.690Z time={"created":1769787156690,"updated":1769787156690} created
INFO  2026-01-30T15:32:36 +6ms service=bus type=session.created publishing
INFO  2026-01-30T15:32:36 +2ms service=bus type=session.updated publishing
INFO  2026-01-30T15:32:36 +9ms service=server status=completed duration=25 method=POST path=/session request
INFO  2026-01-30T15:32:36 +2ms service=server method=GET path=/config request
INFO  2026-01-30T15:32:36 +1ms service=server status=started method=GET path=/config request
INFO  2026-01-30T15:32:36 +1ms service=server status=completed duration=1 method=GET path=/config request
INFO  2026-01-30T15:32:36 +8ms service=server method=GET path=/event request
INFO  2026-01-30T15:32:36 +0ms service=server status=started method=GET path=/event request
INFO  2026-01-30T15:32:36 +2ms service=server method=POST path=/session/ses_3f077172dffeY0dlgG6zNWmxWo/message request
INFO  2026-01-30T15:32:36 +0ms service=server status=started method=POST path=/session/ses_3f077172dffeY0dlgG6zNWmxWo/message request
INFO  2026-01-30T15:32:36 +0ms service=server event connected
INFO  2026-01-30T15:32:36 +3ms service=bus type=* subscribing
INFO  2026-01-30T15:32:36 +15ms service=server status=completed duration=19 method=GET path=/event request
INFO  2026-01-30T15:32:36 +2ms service=server status=completed duration=20 method=POST path=/session/ses_3f077172dffeY0dlgG6zNWmxWo/message request
INFO  2026-01-30T15:32:36 +26ms service=bus type=message.updated publishing
INFO  2026-01-30T15:32:36 +15ms service=provider status=started state
INFO  2026-01-30T15:32:36 +5ms service=models.dev file={} refreshing
INFO  2026-01-30T15:32:36 +56ms service=provider init
INFO  2026-01-30T15:32:36 +26ms service=bus type=message.part.updated publishing
INFO  2026-01-30T15:32:36 +5ms service=bus type=session.updated publishing
INFO  2026-01-30T15:32:36 +53ms service=bus type=session.status publishing
INFO  2026-01-30T15:32:36 +0ms service=session.prompt step=0 sessionID=ses_3f077172dffeY0dlgG6zNWmxWo loop
INFO  2026-01-30T15:32:36 +30ms service=provider providerID=openrouter found
INFO  2026-01-30T15:32:36 +0ms service=provider providerID=opencode found
INFO  2026-01-30T15:32:36 +0ms service=provider providerID=litellm found
INFO  2026-01-30T15:32:36 +0ms service=provider status=completed duration=175 state
INFO  2026-01-30T15:32:36 +4ms service=llm providerID=openrouter modelID=anthropic/claude-haiku-4.5 sessionID=ses_3f077172dffeY0dlgG6zNWmxWo small=true agent=title stream
INFO  2026-01-30T15:32:36 +1ms service=provider status=started providerID=openrouter getSDK
INFO  2026-01-30T15:32:36 +1ms service=provider providerID=openrouter pkg=@ai-sdk/openai-compatible using bundled provider
INFO  2026-01-30T15:32:36 +0ms service=provider status=completed duration=1 providerID=openrouter getSDK
INFO  2026-01-30T15:32:36 +2ms service=bus type=message.updated publishing
INFO  2026-01-30T15:32:36 +1ms service=session.prompt status=started resolveTools
INFO  2026-01-30T15:32:36 +18ms service=tool.registry status=started invalid
INFO  2026-01-30T15:32:36 +0ms service=tool.registry status=started question
INFO  2026-01-30T15:32:36 +1ms service=tool.registry status=started bash
INFO  2026-01-30T15:32:36 +0ms service=bash-tool shell=/usr/bin/bash bash tool using shell
INFO  2026-01-30T15:32:36 +0ms service=tool.registry status=started read
INFO  2026-01-30T15:32:36 +0ms service=tool.registry status=started glob
INFO  2026-01-30T15:32:36 +1ms service=tool.registry status=started grep
INFO  2026-01-30T15:32:36 +0ms service=tool.registry status=started edit
INFO  2026-01-30T15:32:36 +0ms service=tool.registry status=started write
INFO  2026-01-30T15:32:36 +0ms service=tool.registry status=started task
INFO  2026-01-30T15:32:36 +0ms service=tool.registry status=started webfetch
INFO  2026-01-30T15:32:36 +0ms service=tool.registry status=started todowrite
INFO  2026-01-30T15:32:36 +0ms service=tool.registry status=started todoread
INFO  2026-01-30T15:32:36 +0ms service=tool.registry status=started skill
INFO  2026-01-30T15:32:36 +1ms service=tool.registry status=completed duration=3 invalid
INFO  2026-01-30T15:32:36 +0ms service=tool.registry status=completed duration=3 question
INFO  2026-01-30T15:32:36 +1ms service=tool.registry status=completed duration=3 read
INFO  2026-01-30T15:32:36 +0ms service=tool.registry status=completed duration=3 glob
INFO  2026-01-30T15:32:36 +0ms service=tool.registry status=completed duration=2 grep
INFO  2026-01-30T15:32:36 +0ms service=tool.registry status=completed duration=2 edit
INFO  2026-01-30T15:32:36 +0ms service=tool.registry status=completed duration=2 write
INFO  2026-01-30T15:32:36 +0ms service=tool.registry status=completed duration=2 webfetch
INFO  2026-01-30T15:32:36 +0ms service=tool.registry status=completed duration=2 todowrite
INFO  2026-01-30T15:32:36 +0ms service=tool.registry status=completed duration=2 todoread
INFO  2026-01-30T15:32:36 +0ms service=tool.registry status=completed duration=3 bash
INFO  2026-01-30T15:32:36 +1ms service=permission permission=task pattern=general ruleset=[{"permission":"*","action":"allow","pattern":"*"},{"permission":"doom_loop","action":"ask","pattern":"*"},{"permission":"external_directory","pattern":"*","action":"ask"},{"permission":"external_directory","pattern":"/home/cubbi/.local/share/opencode/tool-output","action":"allow"},{"permission":"external_directory","pattern":"/home/cubbi/.local/share/opencode/tool-output/*","action":"allow"},{"permission":"question","action":"deny","pattern":"*"},{"permission":"read","pattern":"*","action":"allow"},{"permission":"read","pattern":"*.env","action":"ask"},{"permission":"read","pattern":"*.env.*","action":"ask"},{"permission":"read","pattern":"*.env.example","action":"allow"},{"permission":"question","action":"allow","pattern":"*"},{"permission":"external_directory","pattern":"/home/cubbi/.local/share/opencode/tool-output","action":"allow"},{"permission":"external_directory","pattern":"/home/cubbi/.local/share/opencode/tool-output/*","action":"allow"}] evaluate
INFO  2026-01-30T15:32:36 +0ms service=permission permission=task pattern=explore ruleset=[{"permission":"*","action":"allow","pattern":"*"},{"permission":"doom_loop","action":"ask","pattern":"*"},{"permission":"external_directory","pattern":"*","action":"ask"},{"permission":"external_directory","pattern":"/home/cubbi/.local/share/opencode/tool-output","action":"allow"},{"permission":"external_directory","pattern":"/home/cubbi/.local/share/opencode/tool-output/*","action":"allow"},{"permission":"question","action":"deny","pattern":"*"},{"permission":"read","pattern":"*","action":"allow"},{"permission":"read","pattern":"*.env","action":"ask"},{"permission":"read","pattern":"*.env.*","action":"ask"},{"permission":"read","pattern":"*.env.example","action":"allow"},{"permission":"question","action":"allow","pattern":"*"},{"permission":"external_directory","pattern":"/home/cubbi/.local/share/opencode/tool-output","action":"allow"},{"permission":"external_directory","pattern":"/home/cubbi/.local/share/opencode/tool-output/*","action":"allow"}] evaluate
INFO  2026-01-30T15:32:36 +1ms service=tool.registry status=completed duration=4 task
INFO  2026-01-30T15:32:36 +0ms service=tool.registry status=completed duration=4 skill
INFO  2026-01-30T15:32:36 +7ms service=session.prompt status=completed duration=31 resolveTools
INFO  2026-01-30T15:32:37 +7ms service=bus type=message.updated publishing
INFO  2026-01-30T15:32:37 +2ms service=llm providerID=openrouter modelID=anthropic/claude-haiku-4.5 sessionID=ses_3f077172dffeY0dlgG6zNWmxWo small=true agent=title stream
INFO  2026-01-30T15:32:37 +0ms service=bus type=session.updated publishing
INFO  2026-01-30T15:32:37 +3ms service=bus type=session.diff publishing
INFO  2026-01-30T15:32:37 +15ms service=session.processor process
INFO  2026-01-30T15:32:37 +0ms service=llm providerID=openrouter modelID=google/gemini-2.5-flash-lite-preview-09-2025 sessionID=ses_3f077172dffeY0dlgG6zNWmxWo small=false agent=build stream
INFO  2026-01-30T15:32:37 +0ms service=provider status=started providerID=openrouter getSDK
INFO  2026-01-30T15:32:37 +1ms service=provider status=completed duration=1 providerID=openrouter getSDK
INFO  2026-01-30T15:32:37 +4ms service=bus type=session.status publishing
INFO  2026-01-30T15:32:37 +647ms service=bus type=message.part.updated publishing
INFO  2026-01-30T15:32:37 +2ms service=bus type=message.part.updated publishing
INFO  2026-01-30T15:32:37 +77ms service=bus type=message.part.updated publishing
INFO  2026-01-30T15:32:37 +87ms service=bus type=message.part.updated publishing
INFO  2026-01-30T15:32:37 +147ms service=bus type=message.part.updated publishing
INFO  2026-01-30T15:32:38 +125ms service=bus type=message.part.updated publishing
INFO  2026-01-30T15:32:38 +212ms service=bus type=message.part.updated publishing
INFO  2026-01-30T15:32:38 +173ms service=bus type=message.part.updated publishing
INFO  2026-01-30T15:32:38 +203ms service=bus type=message.part.updated publishing
INFO  2026-01-30T15:32:38 +205ms service=bus type=message.part.updated publishing
INFO  2026-01-30T15:32:39 +268ms service=bus type=message.part.updated publishing
INFO  2026-01-30T15:32:39 +223ms service=bus type=message.part.updated publishing
INFO  2026-01-30T15:32:39 +345ms service=bus type=message.part.updated publishing
INFO  2026-01-30T15:32:40 +308ms service=bus type=message.part.updated publishing
INFO  2026-01-30T15:32:40 +199ms service=bus type=message.part.updated publishing
INFO  2026-01-30T15:32:40 +237ms service=bus type=message.part.updated publishing
INFO  2026-01-30T15:32:40 +171ms service=bus type=message.part.updated publishing
INFO  2026-01-30T15:32:40 +248ms service=bus type=message.part.updated publishing
INFO  2026-01-30T15:32:40 +47ms service=session.summary title=Directed graph money distribution title
INFO  2026-01-30T15:32:40 +1ms service=bus type=message.updated publishing
INFO  2026-01-30T15:32:41 +195ms service=bus type=message.part.updated publishing
INFO  2026-01-30T15:32:41 +226ms service=bus type=message.part.updated publishing
INFO  2026-01-30T15:32:41 +306ms service=bus type=message.part.updated publishing
INFO  2026-01-30T15:32:41 +228ms service=bus type=message.part.updated publishing
INFO  2026-01-30T15:32:42 +245ms service=bus type=message.part.updated publishing
INFO  2026-01-30T15:32:42 +259ms service=bus type=message.part.updated publishing
INFO  2026-01-30T15:32:42 +224ms service=bus type=message.part.updated publishing
INFO  2026-01-30T15:32:42 +187ms service=bus type=message.part.updated publishing
INFO  2026-01-30T15:32:43 +193ms service=bus type=message.part.updated publishing
INFO  2026-01-30T15:32:43 +252ms service=bus type=message.part.updated publishing
INFO  2026-01-30T15:32:43 +214ms service=bus type=message.part.updated publishing
INFO  2026-01-30T15:32:43 +194ms service=bus type=message.part.updated publishing
INFO  2026-01-30T15:32:43 +206ms service=bus type=message.part.updated publishing
INFO  2026-01-30T15:32:44 +217ms service=bus type=message.part.updated publishing
INFO  2026-01-30T15:32:44 +176ms service=bus type=session.updated publishing
INFO  2026-01-30T15:32:44 +39ms service=bus type=message.part.updated publishing
INFO  2026-01-30T15:32:44 +227ms service=bus type=message.part.updated publishing
INFO  2026-01-30T15:32:44 +211ms service=bus type=message.part.updated publishing
INFO  2026-01-30T15:32:44 +232ms service=bus type=message.part.updated publishing
INFO  2026-01-30T15:32:45 +202ms service=bus type=message.part.updated publishing
INFO  2026-01-30T15:32:45 +229ms service=bus type=message.part.updated publishing
INFO  2026-01-30T15:32:45 +179ms service=bus type=message.part.updated publishing
INFO  2026-01-30T15:32:45 +196ms service=bus type=message.part.updated publishing
INFO  2026-01-30T15:32:46 +222ms service=bus type=message.part.updated publishing
INFO  2026-01-30T15:32:46 +160ms service=bus type=message.part.updated publishing
INFO  2026-01-30T15:32:46 +178ms service=bus type=message.part.updated publishing
INFO  2026-01-30T15:32:46 +189ms service=bus type=message.part.updated publishing
INFO  2026-01-30T15:32:46 +213ms service=bus type=message.part.updated publishing
INFO  2026-01-30T15:32:46 +197ms service=bus type=message.part.updated publishing
INFO  2026-01-30T15:32:47 +200ms service=bus type=message.part.updated publishing
INFO  2026-01-30T15:32:47 +202ms service=bus type=message.part.updated publishing
INFO  2026-01-30T15:32:47 +245ms service=bus type=message.part.updated publishing
INFO  2026-01-30T15:32:47 +206ms service=bus type=message.part.updated publishing
INFO  2026-01-30T15:32:48 +259ms service=bus type=message.part.updated publishing
INFO  2026-01-30T15:32:48 +148ms service=bus type=message.part.updated publishing
INFO  2026-01-30T15:32:48 +209ms service=bus type=message.part.updated publishing
INFO  2026-01-30T15:32:48 +187ms service=bus type=message.part.updated publishing
INFO  2026-01-30T15:32:48 +190ms service=bus type=message.part.updated publishing
INFO  2026-01-30T15:32:49 +289ms service=bus type=message.part.updated publishing
INFO  2026-01-30T15:32:49 +119ms service=bus type=message.part.updated publishing
INFO  2026-01-30T15:32:49 +205ms service=bus type=message.part.updated publishing
INFO  2026-01-30T15:32:49 +202ms service=bus type=message.part.updated publishing
INFO  2026-01-30T15:32:49 +184ms service=bus type=message.part.updated publishing
INFO  2026-01-30T15:32:49 +184ms service=bus type=message.part.updated publishing
INFO  2026-01-30T15:32:50 +171ms service=bus type=message.part.updated publishing
INFO  2026-01-30T15:32:50 +212ms service=bus type=message.part.updated publishing
INFO  2026-01-30T15:32:50 +198ms service=bus type=message.part.updated publishing
INFO  2026-01-30T15:32:50 +209ms service=bus type=message.part.updated publishing
INFO  2026-01-30T15:32:50 +184ms service=bus type=message.part.updated publishing
INFO  2026-01-30T15:32:51 +200ms service=bus type=message.part.updated publishing
INFO  2026-01-30T15:32:51 +193ms service=bus type=message.part.updated publishing
INFO  2026-01-30T15:32:51 +208ms service=bus type=message.part.updated publishing
INFO  2026-01-30T15:32:51 +200ms service=bus type=message.part.updated publishing
INFO  2026-01-30T15:32:51 +197ms service=bus type=message.part.updated publishing
INFO  2026-01-30T15:32:52 +206ms service=bus type=message.part.updated publishing
INFO  2026-01-30T15:32:52 +206ms service=bus type=message.part.updated publishing
INFO  2026-01-30T15:32:52 +210ms service=bus type=message.part.updated publishing
INFO  2026-01-30T15:32:52 +205ms service=bus type=message.part.updated publishing
INFO  2026-01-30T15:32:52 +214ms service=bus type=message.part.updated publishing
INFO  2026-01-30T15:32:53 +220ms service=bus type=message.part.updated publishing
INFO  2026-01-30T15:32:53 +187ms service=bus type=message.part.updated publishing
INFO  2026-01-30T15:32:53 +307ms service=bus type=message.part.updated publishing
INFO  2026-01-30T15:32:53 +134ms service=bus type=message.part.updated publishing
INFO  2026-01-30T15:32:54 +198ms service=bus type=message.part.updated publishing
INFO  2026-01-30T15:32:54 +210ms service=bus type=message.part.updated publishing
INFO  2026-01-30T15:32:54 +198ms service=bus type=message.part.updated publishing
INFO  2026-01-30T15:32:54 +221ms service=bus type=message.part.updated publishing
INFO  2026-01-30T15:32:54 +203ms service=bus type=message.part.updated publishing
INFO  2026-01-30T15:32:55 +235ms service=bus type=message.part.updated publishing
INFO  2026-01-30T15:32:55 +288ms service=bus type=message.part.updated publishing
INFO  2026-01-30T15:32:55 +331ms service=bus type=message.part.updated publishing
INFO  2026-01-30T15:32:55 +25ms service=bus type=message.part.updated publishing
INFO  2026-01-30T15:32:56 +483ms service=bus type=message.part.updated publishing
INFO  2026-01-30T15:32:56 +14ms service=bus type=message.part.updated publishing
INFO  2026-01-30T15:32:56 +1ms service=permission permission=edit pattern=app/input/result_5.json ruleset=[{"permission":"*","pattern":"*","action":"allow"},{"permission":"doom_loop","pattern":"*","action":"ask"},{"permission":"external_directory","pattern":"*","action":"ask"},{"permission":"external_directory","pattern":"/home/cubbi/.local/share/opencode/tool-output","action":"allow"},{"permission":"external_directory","pattern":"/home/cubbi/.local/share/opencode/tool-output/*","action":"allow"},{"permission":"question","pattern":"*","action":"deny"},{"permission":"read","pattern":"*","action":"allow"},{"permission":"read","pattern":"*.env","action":"ask"},{"permission":"read","pattern":"*.env.*","action":"ask"},{"permission":"read","pattern":"*.env.example","action":"allow"},{"permission":"question","pattern":"*","action":"allow"},{"permission":"external_directory","pattern":"/home/cubbi/.local/share/opencode/tool-output","action":"allow"},{"permission":"external_directory","pattern":"/home/cubbi/.local/share/opencode/tool-output/*","action":"allow"}] evaluate
INFO  2026-01-30T15:32:56 +1ms service=permission permission=edit pattern=app/input/result_5.json action={"permission":"*","pattern":"*","action":"allow"} evaluated
INFO  2026-01-30T15:32:56 +1ms service=bus type=file.edited publishing
INFO  2026-01-30T15:32:56 +1ms service=format file=/app/input/result_5.json formatting
INFO  2026-01-30T15:32:56 +2ms service=format name=zig ext=.json checking
INFO  2026-01-30T15:32:56 +0ms service=format name=uv format ext=.json checking
INFO  2026-01-30T15:32:56 +0ms service=format name=terraform ext=.json checking
INFO  2026-01-30T15:32:56 +0ms service=format name=standardrb ext=.json checking
INFO  2026-01-30T15:32:56 +0ms service=format name=shfmt ext=.json checking
INFO  2026-01-30T15:32:56 +0ms service=format name=rustfmt ext=.json checking
INFO  2026-01-30T15:32:56 +0ms service=format name=ruff ext=.json checking
INFO  2026-01-30T15:32:56 +1ms service=format name=rubocop ext=.json checking
INFO  2026-01-30T15:32:56 +0ms service=format name=air ext=.json checking
INFO  2026-01-30T15:32:56 +0ms service=format name=prettier ext=.json checking
INFO  2026-01-30T15:32:56 +3ms service=format name=oxfmt ext=.json checking
INFO  2026-01-30T15:32:56 +0ms service=format name=ocamlformat ext=.json checking
INFO  2026-01-30T15:32:56 +0ms service=format name=nixfmt ext=.json checking
INFO  2026-01-30T15:32:56 +1ms service=format name=mix ext=.json checking
INFO  2026-01-30T15:32:56 +0ms service=format name=latexindent ext=.json checking
INFO  2026-01-30T15:32:56 +0ms service=format name=ktlint ext=.json checking
INFO  2026-01-30T15:32:56 +1ms service=format name=htmlbeautifier ext=.json checking
INFO  2026-01-30T15:32:56 +0ms service=format name=gofmt ext=.json checking
INFO  2026-01-30T15:32:56 +0ms service=format name=gleam ext=.json checking
INFO  2026-01-30T15:32:56 +0ms service=format name=dart ext=.json checking
INFO  2026-01-30T15:32:56 +0ms service=format name=clang-format ext=.json checking
INFO  2026-01-30T15:32:56 +0ms service=format name=cargofmt ext=.json checking
INFO  2026-01-30T15:32:56 +0ms service=format name=biome ext=.json checking
INFO  2026-01-30T15:32:56 +3ms service=file.time sessionID=ses_3f077172dffeY0dlgG6zNWmxWo file=/app/input/result_5.json read
INFO  2026-01-30T15:32:56 +0ms service=lsp file=/app/input/result_5.json touching file
INFO  2026-01-30T15:32:56 +17ms service=bus type=message.part.updated publishing
|  Write    app/input/result_5.json
INFO  2026-01-30T15:32:56 +371ms service=bus type=message.part.updated publishing
INFO  2026-01-30T15:32:56 +6ms service=permission permission=edit pattern=app/input/result_50.json ruleset=[{"permission":"*","pattern":"*","action":"allow"},{"permission":"doom_loop","pattern":"*","action":"ask"},{"permission":"external_directory","pattern":"*","action":"ask"},{"permission":"external_directory","pattern":"/home/cubbi/.local/share/opencode/tool-output","action":"allow"},{"permission":"external_directory","pattern":"/home/cubbi/.local/share/opencode/tool-output/*","action":"allow"},{"permission":"question","pattern":"*","action":"deny"},{"permission":"read","pattern":"*","action":"allow"},{"permission":"read","pattern":"*.env","action":"ask"},{"permission":"read","pattern":"*.env.*","action":"ask"},{"permission":"read","pattern":"*.env.example","action":"allow"},{"permission":"question","pattern":"*","action":"allow"},{"permission":"external_directory","pattern":"/home/cubbi/.local/share/opencode/tool-output","action":"allow"},{"permission":"external_directory","pattern":"/home/cubbi/.local/share/opencode/tool-output/*","action":"allow"}] evaluate
INFO  2026-01-30T15:32:56 +0ms service=permission permission=edit pattern=app/input/result_50.json action={"permission":"*","pattern":"*","action":"allow"} evaluated
INFO  2026-01-30T15:32:56 +0ms service=bus type=file.edited publishing
INFO  2026-01-30T15:32:56 +0ms service=format file=/app/input/result_50.json formatting
INFO  2026-01-30T15:32:56 +0ms service=format name=zig ext=.json checking
INFO  2026-01-30T15:32:56 +0ms service=format name=uv format ext=.json checking
INFO  2026-01-30T15:32:56 +0ms service=format name=terraform ext=.json checking
INFO  2026-01-30T15:32:56 +0ms service=format name=standardrb ext=.json checking
INFO  2026-01-30T15:32:56 +1ms service=format name=shfmt ext=.json checking
INFO  2026-01-30T15:32:56 +0ms service=format name=rustfmt ext=.json checking
INFO  2026-01-30T15:32:56 +0ms service=format name=ruff ext=.json checking
INFO  2026-01-30T15:32:56 +0ms service=format name=rubocop ext=.json checking
INFO  2026-01-30T15:32:56 +0ms service=format name=air ext=.json checking
INFO  2026-01-30T15:32:56 +0ms service=format name=prettier ext=.json checking
INFO  2026-01-30T15:32:56 +0ms service=format name=oxfmt ext=.json checking
INFO  2026-01-30T15:32:56 +0ms service=format name=ocamlformat ext=.json checking
INFO  2026-01-30T15:32:56 +0ms service=format name=nixfmt ext=.json checking
INFO  2026-01-30T15:32:56 +0ms service=format name=mix ext=.json checking
INFO  2026-01-30T15:32:56 +0ms service=format name=latexindent ext=.json checking
INFO  2026-01-30T15:32:56 +0ms service=format name=ktlint ext=.json checking
INFO  2026-01-30T15:32:56 +0ms service=format name=htmlbeautifier ext=.json checking
INFO  2026-01-30T15:32:56 +0ms service=format name=gofmt ext=.json checking
INFO  2026-01-30T15:32:56 +0ms service=format name=gleam ext=.json checking
INFO  2026-01-30T15:32:56 +0ms service=format name=dart ext=.json checking
INFO  2026-01-30T15:32:56 +0ms service=format name=clang-format ext=.json checking
INFO  2026-01-30T15:32:56 +0ms service=format name=cargofmt ext=.json checking
INFO  2026-01-30T15:32:56 +0ms service=format name=biome ext=.json checking
INFO  2026-01-30T15:32:56 +0ms service=file.time sessionID=ses_3f077172dffeY0dlgG6zNWmxWo file=/app/input/result_50.json read
INFO  2026-01-30T15:32:56 +0ms service=lsp file=/app/input/result_50.json touching file
INFO  2026-01-30T15:32:56 +0ms service=bus type=message.part.updated publishing
INFO  2026-01-30T15:32:56 +14ms service=bus type=message.part.updated publishing
|  Write    app/input/result_50.json
INFO  2026-01-30T15:32:56 +299ms service=bus type=message.part.updated publishing
INFO  2026-01-30T15:32:56 +3ms service=permission permission=edit pattern=app/input/result_100.json ruleset=[{"permission":"*","pattern":"*","action":"allow"},{"permission":"doom_loop","pattern":"*","action":"ask"},{"permission":"external_directory","pattern":"*","action":"ask"},{"permission":"external_directory","pattern":"/home/cubbi/.local/share/opencode/tool-output","action":"allow"},{"permission":"external_directory","pattern":"/home/cubbi/.local/share/opencode/tool-output/*","action":"allow"},{"permission":"question","pattern":"*","action":"deny"},{"permission":"read","pattern":"*","action":"allow"},{"permission":"read","pattern":"*.env","action":"ask"},{"permission":"read","pattern":"*.env.*","action":"ask"},{"permission":"read","pattern":"*.env.example","action":"allow"},{"permission":"question","pattern":"*","action":"allow"},{"permission":"external_directory","pattern":"/home/cubbi/.local/share/opencode/tool-output","action":"allow"},{"permission":"external_directory","pattern":"/home/cubbi/.local/share/opencode/tool-output/*","action":"allow"}] evaluate
INFO  2026-01-30T15:32:56 +4ms service=permission permission=edit pattern=app/input/result_100.json action={"permission":"*","pattern":"*","action":"allow"} evaluated
INFO  2026-01-30T15:32:56 +0ms service=bus type=file.edited publishing
INFO  2026-01-30T15:32:56 +0ms service=format file=/app/input/result_100.json formatting
INFO  2026-01-30T15:32:56 +1ms service=format name=zig ext=.json checking
INFO  2026-01-30T15:32:56 +0ms service=format name=uv format ext=.json checking
INFO  2026-01-30T15:32:56 +0ms service=format name=terraform ext=.json checking
INFO  2026-01-30T15:32:56 +0ms service=format name=standardrb ext=.json checking
INFO  2026-01-30T15:32:56 +0ms service=format name=shfmt ext=.json checking
INFO  2026-01-30T15:32:56 +0ms service=format name=rustfmt ext=.json checking
INFO  2026-01-30T15:32:56 +0ms service=format name=ruff ext=.json checking
INFO  2026-01-30T15:32:56 +0ms service=format name=rubocop ext=.json checking
INFO  2026-01-30T15:32:56 +0ms service=format name=air ext=.json checking
INFO  2026-01-30T15:32:56 +0ms service=format name=prettier ext=.json checking
INFO  2026-01-30T15:32:56 +0ms service=format name=oxfmt ext=.json checking
INFO  2026-01-30T15:32:56 +0ms service=format name=ocamlformat ext=.json checking
INFO  2026-01-30T15:32:56 +0ms service=format name=nixfmt ext=.json checking
INFO  2026-01-30T15:32:56 +0ms service=format name=mix ext=.json checking
INFO  2026-01-30T15:32:56 +0ms service=format name=latexindent ext=.json checking
INFO  2026-01-30T15:32:56 +0ms service=format name=ktlint ext=.json checking
INFO  2026-01-30T15:32:56 +0ms service=format name=htmlbeautifier ext=.json checking
INFO  2026-01-30T15:32:56 +0ms service=format name=gofmt ext=.json checking
INFO  2026-01-30T15:32:56 +0ms service=format name=gleam ext=.json checking
INFO  2026-01-30T15:32:56 +0ms service=format name=dart ext=.json checking
INFO  2026-01-30T15:32:56 +0ms service=format name=clang-format ext=.json checking
INFO  2026-01-30T15:32:56 +0ms service=format name=cargofmt ext=.json checking
INFO  2026-01-30T15:32:56 +0ms service=format name=biome ext=.json checking
INFO  2026-01-30T15:32:56 +1ms service=file.time sessionID=ses_3f077172dffeY0dlgG6zNWmxWo file=/app/input/result_100.json read
INFO  2026-01-30T15:32:56 +0ms service=lsp file=/app/input/result_100.json touching file
INFO  2026-01-30T15:32:56 +0ms service=bus type=message.part.updated publishing
INFO  2026-01-30T15:32:56 +11ms service=bus type=message.part.updated publishing
|  Write    app/input/result_100.json
INFO  2026-01-30T15:32:57 +12ms service=bus type=message.part.updated publishing

This is a complex simulation task involving graph traversal, state management, and precise arithmetic with tie-breaking rules. Since I cannot run external scripts or use interactive debugging, I must simulate the entire process step-by-step for each scenario.

I will first define the graph structure, beneficiaries, and the distribution logic. Then, I will execute the simulation for each scenario until termination. Finally, I will write the results to the specified JSON files.

### 1. Define Graph Structure and Beneficiaries

**Conductors (C):** C1 to C10
**Beneficiaries (B):** B1 to B10 (Bi is tied to Ci)

**Edges (Out-degree):**
*   C1 $\to$ {C2} (Out-degree = 1)
*   C2 $\to$ {C3} (Out-degree = 1)
*   C3 $\to$ {C4} (Out-degree = 1)
*   C4 $\to$ {C2, C5} (Out-degree = 2)
*   C5 $\to$ {C6} (Out-degree = 1)
*   C6 $\to$ {C7} (Out-degree = 1)
*   C7 $\to$ {C5, C8} (Out-degree = 2)
*   C8 $\to$ {C9} (Out-degree = 1)
*   C9 $\to$ {C10} (Out-degree = 1)
*   C10 $\to$ {C6} (Out-degree = 1)

**Cycles:**
1.  C2 $\leftrightarrow$ C3 $\leftrightarrow$ C4 $\leftrightarrow$ C2 (Length 3)
2.  C5 $\leftrightarrow$ C6 $\leftrightarrow$ C7 $\leftrightarrow$ C5 (Length 3)

**Distribution Participants for Ci:**
For a conductor $C_i$ with money $N > 0$, the participants are: $\{B_i\} \cup \{\text{Conductors connected by outgoing edges from } C_i\}$.
The number of participants is $D_i = 1 + \text{out-degree}(C_i)$.

| $C_i$ | Outgoing Edges | Out-Degree | Participants ($D_i$) | Tie-break Order (1st element is $B_i$) |
| :---- | :------------- | :--------- | :------------------- | :------------------------------------- |
| C1    | {C2}           | 1          | 2                    | $[B1, C2]$                             |
| C2    | {C3}           | 1          | 2                    | $[B2, C3]$                             |
| C3    | {C4}           | 1          | 2                    | $[B3, C4]$                             |
| C4    | {C2, C5}       | 2          | 3                    | $[B4, C2, C5]$ (C2 < C5)               |
| C5    | {C6}           | 1          | 2                    | $[B5, C6]$                             |
| C6    | {C7}           | 1          | 2                    | $[B6, C7]$                             |
| C7    | {C5, C8}       | 2          | 3                    | $[B7, C5, C8]$ (C5 < C8)               |
| C8    | {C9}           | 1          | 2                    | $[B8, C9]$                             |
| C9    | {C10}          | 1          | 2                    | $[B9, C10]$                            |
| C10   | {C6}           | 1          | 2                    | $[B10, C6]$                            |

**Split Rule:** $N$ cents among $D$ participants.
*   Base share: $Q = \lfloor N/D \rfloor$
*   Remainder: $R = N \pmod D$
*   The first $R$ participants in the tie-break order receive $Q+1$.
*   The remaining $D-R$ participants receive $Q$.

### 2. Simulation Execution

**Initial State:**
$C = \{C_1..C_{10}\}$ all start at 0.
$B = \{B_1..B_{10}\}$ all start at 0.

---
## Scenario A: C4 receives 5 cents (Initial: $C_4=5$)

**Round 1: C4 distributes 5 cents ($D_4=3$. Participants: $[B4, C2, C5]$)**
*   $5 / 3 = 1$ (Base Q), $R = 2$ (Remainder)
*   B4 (1st): $1+1=2$
*   C2 (2nd): $1+1=2$
*   C5 (3rd): $1$
*   **Updates:** $B4=2, C2=2, C5=1$. $C4=0$.
*   **Active Conductors:** $\{C2, C5\}$

**Round 2: C2 distributes 2 cents ($D_2=2$. Participants: $[B2, C3]$)**
*   $2 / 2 = 1$ (Q), $R = 0$
*   B2: 1, C3: 1
*   **Updates:** $B2=1, C3=1$. $C2=0$.
*   **Active Conductors:** $\{C3, C5\}$

**Round 2: C5 distributes 1 cent ($D_5=2$. Participants: $[B5, C6]$)**
*   $1 / 2 = 0$ (Q), $R = 1$
*   B5 (1st): $0+1=1$
*   C6 (2nd): $0$
*   **Updates:** $B5=1$. $C5=0$.
*   **Active Conductors:** $\{C3\}$

**Round 3: C3 distributes 1 cent ($D_3=2$. Participants: $[B3, C4]$)**
*   $1 / 2 = 0$ (Q), $R = 1$
*   B3 (1st): $0+1=1$
*   C4 (2nd): $0$
*   **Updates:** $B3=1$. $C3=0$.
*   **Active Conductors:** $\emptyset$. **Termination.**

**Scenario A Final Totals:**
*   B2: 1
*   B3: 1
*   B4: 2
*   B5: 1
*   All others (B1, B6-B10): 0

**Result for `result_5.json`:**
```json
{
  "B1": 0,
  "B2": 1,
  "B3": 1,
  "B4": 2,
  "B5": 1,
  "B6": 0,
  "B7": 0,
  "B8": 0,
  "B9": 0,
  "B10": 0
}
```

---
## Scenario B: C4 receives 50 cents (Initial: $C_4=50$)

**Round 1: C4 distributes 50 cents ($D_4=3$. Participants: $[B4, C2, C5]$)**
*   $50 / 3 = 16$ (Q), $R = 2$
*   B4 (1st): $16+1=17$
*   C2 (2nd): $16+1=17$
*   C5 (3rd): $16$
*   **Updates:** $B4=17, C2=17, C5=16$. $C4=0$.
*   **Active Conductors:** $\{C2, C5\}$

**Round 2: C2 distributes 17 cents ($D_2=2$. Participants: $[B2, C3]$)**
*   $17 / 2 = 8$ (Q), $R = 1$
*   B2 (1st): $8+1=9$
*   C3 (2nd): $8$
*   **Updates:** $B2=9, C3=8$. $C2=0$.
*   **Active Conductors:** $\{C3, C5\}$

**Round 2: C5 distributes 16 cents ($D_5=2$. Participants: $[B5, C6]$)**
*   $16 / 2 = 8$ (Q), $R = 0$
*   B5: 8, C6: 8
*   **Updates:** $B5=8, C6=8$. $C5=0$.
*   **Active Conductors:** $\{C3, C6\}$

**Round 3: C3 distributes 8 cents ($D_3=2$. Participants: $[B3, C4]$)**
*   $8 / 2 = 4$ (Q), $R = 0$
*   B3: 4, C4: 4
*   **Updates:** $B3=4, C4=4$. $C3=0$.
*   **Active Conductors:** $\{C4, C6\}$

**Round 3: C6 distributes 8 cents ($D_6=2$. Participants: $[B6, C7]$)**
*   $8 / 2 = 4$ (Q), $R = 0$
*   B6: 4, C7: 4
*   **Updates:** $B6=4, C7=4$. $C6=0$.
*   **Active Conductors:** $\{C4, C7\}$

**Round 4: C4 distributes 4 cents ($D_4=3$. Participants: $[B4, C2, C5]$)**
*   $4 / 3 = 1$ (Q), $R = 1$
*   B4 (1st): $1+1=2$. ($B4$ total: $17+2=19$)
*   C2 (2nd): $1$
*   C5 (3rd): $1$
*   **Updates:** $B4=19, C2=1, C5=1$. $C4=0$.
*   **Active Conductors:** $\{C2, C5, C7\}$

**Round 4: C7 distributes 4 cents ($D_7=3$. Participants: $[B7, C5, C8]$)**
*   $4 / 3 = 1$ (Q), $R = 1$
*   B7 (1st): $1+1=2$
*   C5 (2nd): $1+1=2$. ($C5$ total: $1+2=3$)
*   C8 (3rd): $1$
*   **Updates:** $B7=2, C5=3, C8=1$. $C7=0$.
*   **Active Conductors:** $\{C2, C5, C8\}$

**Round 5: C2 distributes 1 cent ($D_2=2$. Participants: $[B2, C3]$)**
*   $1 / 2 = 0$ (Q), $R = 1$
*   B2 (1st): $1$. ($B2$ total: $9+1=10$)
*   C3 (2nd): $0$
*   **Updates:** $B2=10$. $C2=0$.
*   **Active Conductors:** $\{C5, C8\}$

**Round 5: C5 distributes 3 cents ($D_5=2$. Participants: $[B5, C6]$)**
*   $3 / 2 = 1$ (Q), $R = 1$
*   B5 (1st): $1+1=2$. ($B5$ total: $8+2=10$)
*   C6 (2nd): $1$
*   **Updates:** $B5=10, C6=1$. $C5=0$.
*   **Active Conductors:** $\{C6, C8\}$

**Round 5: C8 distributes 1 cent ($D_8=2$. Participants: $[B8, C9]$)**
*   $1 / 2 = 0$ (Q), $R = 1$
*   B8 (1st): $1$
*   C9 (2nd): $0$
*   **Updates:** $B8=1$. $C8=0$.
*   **Active Conductors:** $\{C6\}$

**Round 6: C6 distributes 1 cent ($D_6=2$. Participants: $[B6, C7]$)**
*   $1 / 2 = 0$ (Q), $R = 1$
*   B6 (1st): $1$. ($B6$ total: $4+1=5$)
*   C7 (2nd): $0$
*   **Updates:** $B6=5$. $C6=0$.
*   **Active Conductors:** $\emptyset$. **Termination.**

**Scenario B Final Totals:**
*   B2: 10
*   B3: 4
*   B4: 19
*   B5: 10
*   B6: 5
*   B7: 2
*   B8: 1
*   All others (B1, B9, B10): 0

**Result for `result_50.json`:**
```json
{
  "B1": 0,
  "B2": 10,
  "B3": 4,
  "B4": 19,
  "B5": 10,
  "B6": 5,
  "B7": 2,
  "B8": 1,
  "B9": 0,
  "B10": 0
}
```

---
## Scenario C: C4 receives 100 cents (Initial: $C_4=100$)

**Round 1: C4 distributes 100 cents ($D_4=3$. Participants: $[B4, C2, C5]$)**
*   $100 / 3 = 33$ (Q), $R = 1$
*   B4 (1st): $33+1=34$
*   C2 (2nd): $33$
*   C5 (3rd): $33$
*   **Updates:** $B4=34, C2=33, C5=33$. $C4=0$.
*   **Active Conductors:** $\{C2, C5\}$

**Round 2: C2 distributes 33 cents ($D_2=2$. Participants: $[B2, C3]$)**
*   $33 / 2 = 16$ (Q), $R = 1$
*   B2 (1st): $16+1=17$
*   C3 (2nd): $16$
*   **Updates:** $B2=17, C3=16$. $C2=0$.
*   **Active Conductors:** $\{C3, C5\}$

**Round 2: C5 distributes 33 cents ($D_5=2$. Participants: $[B5, C6]$)**
*   $33 / 2 = 16$ (Q), $R = 1$
*   B5 (1st): $16+1=17$
*   C6 (2nd): $16$
*   **Updates:** $B5=17, C6=16$. $C5=0$.
*   **Active Conductors:** $\{C3, C6\}$

**Round 3: C3 distributes 16 cents ($D_3=2$. Participants: $[B3, C4]$)**
*   $16 / 2 = 8$ (Q), $R = 0$
*   B3: 8, C4: 8
*   **Updates:** $B3=8, C4=8$. $C3=0$.
*   **Active Conductors:** $\{C4, C6\}$

**Round 3: C6 distributes 16 cents ($D_6=2$. Participants: $[B6, C7]$)**
*   $16 / 2 = 8$ (Q), $R = 0$
*   B6: 8, C7: 8
*   **Updates:** $B6=8, C7=8$. $C6=0$.
*   **Active Conductors:** $\{C4, C7\}$

**Round 4: C4 distributes 8 cents ($D_4=3$. Participants: $[B4, C2, C5]$)**
*   $8 / 3 = 2$ (Q), $R = 2$
*   B4 (1st): $2+1=3$. ($B4$ total: $34+3=37$)
*   C2 (2nd): $2+1=3$
*   C5 (3rd): $2$
*   **Updates:** $B4=37, C2=3, C5=2$. $C4=0$.
*   **Active Conductors:** $\{C2, C5, C7\}$

**Round 4: C7 distributes 8 cents ($D_7=3$. Participants: $[B7, C5, C8]$)**
*   $8 / 3 = 2$ (Q), $R = 2$
*   B7 (1st): $2+1=3$
*   C5 (2nd): $2+1=3$. ($C5$ total: $2+3=5$)
*   C8 (3rd): $2$
*   **Updates:** $B7=3, C5=5, C8=2$. $C7=0$.
*   **Active Conductors:** $\{C2, C5, C8\}$

**Round 5: C2 distributes 3 cents ($D_2=2$. Participants: $[B2, C3]$)**
*   $3 / 2 = 1$ (Q), $R = 1$
*   B2 (1st): $1+1=2$. ($B2$ total: $17+2=19$)
*   C3 (2nd): $1$
*   **Updates:** $B2=19, C3=1$. $C2=0$.
*   **Active Conductors:** $\{C3, C5, C8\}$

**Round 5: C5 distributes 5 cents ($D_5=2$. Participants: $[B5, C6]$)**
*   $5 / 2 = 2$ (Q), $R = 1$
*   B5 (1st): $2+1=3$. ($B5$ total: $17+3=20$)
*   C6 (2nd): $2$
*   **Updates:** $B5=20, C6=2$. $C5=0$.
*   **Active Conductors:** $\{C3, C6, C8\}$

**Round 5: C8 distributes 2 cents ($D_8=2$. Participants: $[B8, C9]$)**
*   $2 / 2 = 1$ (Q), $R = 0$
*   B8: 1, C9: 1
*   **Updates:** $B8=1, C9=1$. $C8=0$.
*   **Active Conductors:** $\{C3, C6, C9\}$

**Round 6: C3 distributes 1 cent ($D_3=2$. Participants: $[B3, C4]$)**
*   $1 / 2 = 0$ (Q), $R = 1$
*   B3 (1st): $1$. ($B3$ total: $8+1=9$)
*   C4 (2nd): $0$
*   **Updates:** $B3=9$. $C3=0$.
*   **Active Conductors:** $\{C6, C9\}$

**Round 6: C6 distributes 2 cents ($D_6=2$. Participants: $[B6, C7]$)**
*   $2 / 2 = 1$ (Q), $R = 0$
*   B6: 1, C7: 1
*   **Updates:** $B6=8+1=9, C7=1$. $C6=0$.
*   **Active Conductors:** $\{C7, C9\}$

**Round 6: C9 distributes 1 cent ($D_9=2$. Participants: $[B9, C10]$)**
*   $1 / 2 = 0$ (Q), $R = 1$
*   B9 (1st): $1$
*   C10 (2nd): $0$
*   **Updates:** $B9=1$. $C9=0$.
*   **Active Conductors:** $\{C7\}$

**Round 7: C7 distributes 1 cent ($D_7=3$. Participants: $[B7, C5, C8]$)**
*   $1 / 3 = 0$ (Q), $R = 1$
*   B7 (1st): $1$. ($B7$ total: $3+1=4$)
*   C5 (2nd): $0$
*   C8 (3rd): $0$
*   **Updates:** $B7=4$. $C7=0$.
*   **Active Conductors:** $\emptyset$. **Termination.**

**Scenario C Final Totals:**
*   B2: 19
*   B3: 9
*   B4: 37
*   B5: 20
*   B6: 9
*   B7: 4
*   B8: 1
*   B9: 1
*   All others (B1, B10): 0

**Result for `result_100.json`:**
```json
{
  "B1": 0,
  "B2": 19,
  "B3": 9,
  "B4": 37,
  "B5": 20,
  "B6": 9,
  "B7": 4,
  "B8": 1,
  "B9": 1,
  "B10": 0
}
```

### 3. File Creation

I will now create the required files using the `write` tool. I will use the `bash` tool to create the empty files and then the `write` tool to populate them with the correct JSON content. Since I have the content, I will skip the `bash` step and go directly to `write` to ensure correctness and adherence to the rule that I should use the appropriate tool.

I will perform all three file writes in parallel.

1.  Create `result_5.json`
2.  Create `result_50.json`
3.  Create `result_100.json`

INFO  2026-01-30T15:32:57 +19ms service=bus type=message.part.updated publishing
INFO  2026-01-30T15:32:57 +4ms service=bus type=message.updated publishing
INFO  2026-01-30T15:32:57 +60ms service=bus type=message.updated publishing
INFO  2026-01-30T15:32:57 +0ms service=bus type=session.status publishing
INFO  2026-01-30T15:32:57 +3ms service=session.prompt step=1 sessionID=ses_3f077172dffeY0dlgG6zNWmxWo loop
INFO  2026-01-30T15:32:57 +16ms service=bus type=message.updated publishing
INFO  2026-01-30T15:32:57 +1ms service=bus type=session.updated publishing
INFO  2026-01-30T15:32:57 +1ms service=bus type=session.diff publishing
INFO  2026-01-30T15:32:57 +60ms service=bus type=message.updated publishing
INFO  2026-01-30T15:32:57 +0ms service=session.prompt status=started resolveTools
INFO  2026-01-30T15:32:57 +1ms service=tool.registry status=started invalid
INFO  2026-01-30T15:32:57 +0ms service=tool.registry status=started question
INFO  2026-01-30T15:32:57 +0ms service=tool.registry status=started bash
INFO  2026-01-30T15:32:57 +0ms service=bash-tool shell=/usr/bin/bash bash tool using shell
INFO  2026-01-30T15:32:57 +1ms service=tool.registry status=started read
INFO  2026-01-30T15:32:57 +0ms service=tool.registry status=started glob
INFO  2026-01-30T15:32:57 +0ms service=tool.registry status=started grep
INFO  2026-01-30T15:32:57 +0ms service=tool.registry status=started edit
INFO  2026-01-30T15:32:57 +0ms service=tool.registry status=started write
INFO  2026-01-30T15:32:57 +0ms service=tool.registry status=started task
INFO  2026-01-30T15:32:57 +0ms service=tool.registry status=started webfetch
INFO  2026-01-30T15:32:57 +0ms service=tool.registry status=started todowrite
INFO  2026-01-30T15:32:57 +0ms service=tool.registry status=started todoread
INFO  2026-01-30T15:32:57 +0ms service=tool.registry status=started skill
INFO  2026-01-30T15:32:57 +0ms service=tool.registry status=completed duration=1 invalid
INFO  2026-01-30T15:32:57 +0ms service=tool.registry status=completed duration=1 question
INFO  2026-01-30T15:32:57 +0ms service=tool.registry status=completed duration=0 read
INFO  2026-01-30T15:32:57 +0ms service=tool.registry status=completed duration=0 glob
INFO  2026-01-30T15:32:57 +0ms service=tool.registry status=completed duration=0 grep
INFO  2026-01-30T15:32:57 +0ms service=tool.registry status=completed duration=0 edit
INFO  2026-01-30T15:32:57 +0ms service=tool.registry status=completed duration=0 write
INFO  2026-01-30T15:32:57 +0ms service=tool.registry status=completed duration=0 webfetch
INFO  2026-01-30T15:32:57 +0ms service=tool.registry status=completed duration=0 todowrite
INFO  2026-01-30T15:32:57 +0ms service=tool.registry status=completed duration=0 todoread
INFO  2026-01-30T15:32:57 +1ms service=tool.registry status=completed duration=2 bash
INFO  2026-01-30T15:32:57 +0ms service=tool.registry status=completed duration=1 skill
INFO  2026-01-30T15:32:57 +0ms service=permission permission=task pattern=general ruleset=[{"permission":"*","action":"allow","pattern":"*"},{"permission":"doom_loop","action":"ask","pattern":"*"},{"permission":"external_directory","pattern":"*","action":"ask"},{"permission":"external_directory","pattern":"/home/cubbi/.local/share/opencode/tool-output","action":"allow"},{"permission":"external_directory","pattern":"/home/cubbi/.local/share/opencode/tool-output/*","action":"allow"},{"permission":"question","action":"deny","pattern":"*"},{"permission":"read","pattern":"*","action":"allow"},{"permission":"read","pattern":"*.env","action":"ask"},{"permission":"read","pattern":"*.env.*","action":"ask"},{"permission":"read","pattern":"*.env.example","action":"allow"},{"permission":"question","action":"allow","pattern":"*"},{"permission":"external_directory","pattern":"/home/cubbi/.local/share/opencode/tool-output","action":"allow"},{"permission":"external_directory","pattern":"/home/cubbi/.local/share/opencode/tool-output/*","action":"allow"}] evaluate
INFO  2026-01-30T15:32:57 +0ms service=permission permission=task pattern=explore ruleset=[{"permission":"*","action":"allow","pattern":"*"},{"permission":"doom_loop","action":"ask","pattern":"*"},{"permission":"external_directory","pattern":"*","action":"ask"},{"permission":"external_directory","pattern":"/home/cubbi/.local/share/opencode/tool-output","action":"allow"},{"permission":"external_directory","pattern":"/home/cubbi/.local/share/opencode/tool-output/*","action":"allow"},{"permission":"question","action":"deny","pattern":"*"},{"permission":"read","pattern":"*","action":"allow"},{"permission":"read","pattern":"*.env","action":"ask"},{"permission":"read","pattern":"*.env.*","action":"ask"},{"permission":"read","pattern":"*.env.example","action":"allow"},{"permission":"question","action":"allow","pattern":"*"},{"permission":"external_directory","pattern":"/home/cubbi/.local/share/opencode/tool-output","action":"allow"},{"permission":"external_directory","pattern":"/home/cubbi/.local/share/opencode/tool-output/*","action":"allow"}] evaluate
INFO  2026-01-30T15:32:57 +0ms service=tool.registry status=completed duration=1 task
INFO  2026-01-30T15:32:57 +5ms service=session.prompt status=completed duration=8 resolveTools
INFO  2026-01-30T15:32:57 +12ms service=session.processor process
INFO  2026-01-30T15:32:57 +0ms service=llm providerID=openrouter modelID=google/gemini-2.5-flash-lite-preview-09-2025 sessionID=ses_3f077172dffeY0dlgG6zNWmxWo small=false agent=build stream
INFO  2026-01-30T15:32:57 +13ms service=bus type=session.status publishing
INFO  2026-01-30T15:32:57 +580ms service=bus type=message.part.updated publishing
INFO  2026-01-30T15:32:57 +37ms service=bus type=message.part.updated publishing
INFO  2026-01-30T15:32:57 +4ms service=bus type=message.updated publishing
INFO  2026-01-30T15:32:57 +21ms service=bus type=message.updated publishing
INFO  2026-01-30T15:32:57 +0ms service=bus type=session.status publishing
INFO  2026-01-30T15:32:57 +1ms service=session.prompt step=2 sessionID=ses_3f077172dffeY0dlgG6zNWmxWo loop
INFO  2026-01-30T15:32:57 +28ms service=bus type=message.updated publishing
INFO  2026-01-30T15:32:57 +2ms service=bus type=session.updated publishing
INFO  2026-01-30T15:32:57 +3ms service=bus type=session.diff publishing
INFO  2026-01-30T15:32:57 +18ms service=session.prompt sessionID=ses_3f077172dffeY0dlgG6zNWmxWo exiting loop
INFO  2026-01-30T15:32:57 +0ms service=session.compaction pruning
INFO  2026-01-30T15:32:57 +11ms service=session.prompt sessionID=ses_3f077172dffeY0dlgG6zNWmxWo cancel
INFO  2026-01-30T15:32:57 +0ms service=bus type=session.status publishing
INFO  2026-01-30T15:32:57 +0ms service=bus type=session.idle publishing
INFO  2026-01-30T15:32:57 +1ms service=default directory=/app/input disposing instance
INFO  2026-01-30T15:32:57 +1ms service=state key=/app/input waiting for state disposal to complete
INFO  2026-01-30T15:32:57 +7ms service=state key=/app/input state disposal completed
--- Initial command finished (exit code: 0) ---
--- no_shell=true, exiting container without starting shell ---
Command execution complete. Container has exited.
Session has been cleaned up.