/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_20251217_150016/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: 41f31d7a
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
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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 ---
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INFO  2025-12-17T15:51:50 +517ms service=bun code=0 stdout=bun add v1.3.4 (5eb2145b)

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installed opencode-anthropic-auth@0.0.5

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INFO  2025-12-17T15:51:59 +117ms service=bus type=message.part.updated publishing
INFO  2025-12-17T15:51:59 +128ms service=bus type=message.part.updated publishing
INFO  2025-12-17T15:51:59 +131ms service=bus type=message.part.updated publishing
INFO  2025-12-17T15:52:00 +122ms service=bus type=message.part.updated publishing
INFO  2025-12-17T15:52:00 +139ms service=bus type=message.part.updated publishing
INFO  2025-12-17T15:52:00 +125ms service=bus type=message.part.updated publishing
INFO  2025-12-17T15:52:00 +159ms service=bus type=message.part.updated publishing
ERROR 2025-12-17T15:52:00 +83ms service=acp-command promise={} reason=NotFoundError Unhandled rejection
ERROR 2025-12-17T15:52:00 +0ms service=default e=NotFoundError rejection
INFO  2025-12-17T15:52:00 +30ms service=bus type=message.part.updated publishing
INFO  2025-12-17T15:52:00 +140ms service=bus type=message.part.updated publishing
INFO  2025-12-17T15:52:00 +156ms service=bus type=message.part.updated publishing
INFO  2025-12-17T15:52:01 +124ms service=bus type=message.part.updated publishing
INFO  2025-12-17T15:52:01 +135ms service=bus type=message.part.updated publishing
INFO  2025-12-17T15:52:01 +121ms service=bus type=message.part.updated publishing
INFO  2025-12-17T15:52:01 +115ms service=bus type=message.part.updated publishing
INFO  2025-12-17T15:52:01 +124ms service=bus type=message.part.updated publishing
ERROR 2025-12-17T15:52:01 +88ms service=acp-command promise={} reason=NotFoundError Unhandled rejection
ERROR 2025-12-17T15:52:01 +0ms service=default e=NotFoundError rejection
INFO  2025-12-17T15:52:01 +25ms service=bus type=message.part.updated publishing
INFO  2025-12-17T15:52:01 +139ms service=bus type=message.part.updated publishing
INFO  2025-12-17T15:52:01 +116ms service=bus type=message.part.updated publishing
INFO  2025-12-17T15:52:02 +137ms service=bus type=message.part.updated publishing
INFO  2025-12-17T15:52:02 +223ms service=bus type=message.part.updated publishing
INFO  2025-12-17T15:52:02 +126ms service=bus type=message.part.updated publishing
INFO  2025-12-17T15:52:02 +114ms service=bus type=message.part.updated publishing
ERROR 2025-12-17T15:52:02 +146ms service=acp-command promise={} reason=NotFoundError Unhandled rejection
ERROR 2025-12-17T15:52:02 +0ms service=default e=NotFoundError rejection
INFO  2025-12-17T15:52:02 +35ms service=bus type=message.part.updated publishing
INFO  2025-12-17T15:52:02 +177ms service=bus type=message.part.updated publishing
INFO  2025-12-17T15:52:02 +135ms service=bus type=message.part.updated publishing
INFO  2025-12-17T15:52:03 +126ms service=bus type=message.part.updated publishing
INFO  2025-12-17T15:52:03 +149ms service=bus type=message.part.updated publishing
INFO  2025-12-17T15:52:03 +125ms service=bus type=message.part.updated publishing
INFO  2025-12-17T15:52:03 +139ms service=bus type=message.part.updated publishing
INFO  2025-12-17T15:52:03 +131ms service=bus type=message.part.updated publishing
ERROR 2025-12-17T15:52:03 +22ms service=acp-command promise={} reason=NotFoundError Unhandled rejection
ERROR 2025-12-17T15:52:03 +0ms service=default e=NotFoundError rejection
INFO  2025-12-17T15:52:03 +120ms service=bus type=message.part.updated publishing
INFO  2025-12-17T15:52:03 +145ms service=bus type=message.part.updated publishing
INFO  2025-12-17T15:52:04 +150ms service=bus type=message.part.updated publishing
INFO  2025-12-17T15:52:04 +115ms service=bus type=message.part.updated publishing
INFO  2025-12-17T15:52:04 +138ms service=bus type=message.part.updated publishing
INFO  2025-12-17T15:52:04 +126ms service=bus type=message.part.updated publishing
INFO  2025-12-17T15:52:04 +117ms service=bus type=message.part.updated publishing
INFO  2025-12-17T15:52:04 +141ms service=bus type=message.part.updated publishing
ERROR 2025-12-17T15:52:04 +75ms service=acp-command promise={} reason=NotFoundError Unhandled rejection
ERROR 2025-12-17T15:52:04 +0ms service=default e=NotFoundError rejection
INFO  2025-12-17T15:52:04 +57ms service=bus type=message.part.updated publishing
INFO  2025-12-17T15:52:05 +180ms service=bus type=message.part.updated publishing
INFO  2025-12-17T15:52:05 +180ms service=bus type=message.part.updated publishing
INFO  2025-12-17T15:52:05 +190ms service=bus type=message.part.updated publishing
INFO  2025-12-17T15:52:05 +264ms service=bus type=message.part.updated publishing
ERROR 2025-12-17T15:52:05 +187ms service=acp-command promise={} reason=NotFoundError Unhandled rejection
ERROR 2025-12-17T15:52:05 +0ms service=default e=NotFoundError rejection
INFO  2025-12-17T15:52:06 +344ms service=bus type=message.part.updated publishing
INFO  2025-12-17T15:52:06 +165ms service=bus type=message.part.updated publishing
INFO  2025-12-17T15:52:06 +188ms service=bus type=message.part.updated publishing
INFO  2025-12-17T15:52:06 +222ms service=bus type=message.part.updated publishing
INFO  2025-12-17T15:52:06 +144ms service=bus type=message.part.updated publishing
INFO  2025-12-17T15:52:07 +129ms service=bus type=message.part.updated publishing
INFO  2025-12-17T15:52:07 +124ms service=bus type=message.part.updated publishing
ERROR 2025-12-17T15:52:07 +30ms service=acp-command promise={} reason=NotFoundError Unhandled rejection
ERROR 2025-12-17T15:52:07 +0ms service=default e=NotFoundError rejection
INFO  2025-12-17T15:52:07 +141ms service=bus type=message.part.updated publishing
INFO  2025-12-17T15:52:07 +150ms service=bus type=message.part.updated publishing
INFO  2025-12-17T15:52:07 +156ms service=bus type=message.part.updated publishing
INFO  2025-12-17T15:52:07 +160ms service=bus type=message.part.updated publishing
INFO  2025-12-17T15:52:07 +149ms service=bus type=message.part.updated publishing
INFO  2025-12-17T15:52:08 +139ms service=bus type=message.part.updated publishing
INFO  2025-12-17T15:52:08 +150ms service=bus type=message.part.updated publishing
ERROR 2025-12-17T15:52:08 +98ms service=acp-command promise={} reason=NotFoundError Unhandled rejection
ERROR 2025-12-17T15:52:08 +0ms service=default e=NotFoundError rejection
INFO  2025-12-17T15:52:08 +60ms service=bus type=message.part.updated publishing
INFO  2025-12-17T15:52:08 +121ms service=bus type=message.part.updated publishing
INFO  2025-12-17T15:52:08 +147ms service=bus type=message.part.updated publishing
INFO  2025-12-17T15:52:08 +165ms service=bus type=message.part.updated publishing
INFO  2025-12-17T15:52:08 +121ms service=bus type=message.part.updated publishing
INFO  2025-12-17T15:52:09 +168ms service=bus type=message.part.updated publishing
INFO  2025-12-17T15:52:09 +105ms service=bus type=message.part.updated publishing
INFO  2025-12-17T15:52:09 +163ms service=bus type=message.part.updated publishing
ERROR 2025-12-17T15:52:09 +10ms service=acp-command promise={} reason=NotFoundError Unhandled rejection
ERROR 2025-12-17T15:52:09 +1ms service=default e=NotFoundError rejection
INFO  2025-12-17T15:52:09 +118ms service=bus type=message.part.updated publishing
INFO  2025-12-17T15:52:09 +182ms service=bus type=message.part.updated publishing
INFO  2025-12-17T15:52:09 +146ms service=bus type=message.part.updated publishing
INFO  2025-12-17T15:52:10 +204ms service=bus type=message.part.updated publishing
INFO  2025-12-17T15:52:10 +212ms service=bus type=message.part.updated publishing
INFO  2025-12-17T15:52:10 +170ms service=bus type=message.part.updated publishing
ERROR 2025-12-17T15:52:10 +87ms service=acp-command promise={} reason=NotFoundError Unhandled rejection
ERROR 2025-12-17T15:52:10 +1ms service=default e=NotFoundError rejection
INFO  2025-12-17T15:52:10 +68ms service=bus type=message.part.updated publishing
INFO  2025-12-17T15:52:10 +133ms service=bus type=message.part.updated publishing
INFO  2025-12-17T15:52:10 +129ms service=bus type=message.part.updated publishing
INFO  2025-12-17T15:52:11 +161ms service=bus type=message.part.updated publishing
INFO  2025-12-17T15:52:11 +144ms service=bus type=message.part.updated publishing
INFO  2025-12-17T15:52:11 +163ms service=bus type=message.part.updated publishing
INFO  2025-12-17T15:52:11 +141ms service=bus type=message.part.updated publishing
ERROR 2025-12-17T15:52:11 +132ms service=acp-command promise={} reason=NotFoundError Unhandled rejection
ERROR 2025-12-17T15:52:11 +0ms service=default e=NotFoundError rejection
INFO  2025-12-17T15:52:11 +19ms service=bus type=message.part.updated publishing
INFO  2025-12-17T15:52:11 +152ms service=bus type=message.part.updated publishing
INFO  2025-12-17T15:52:11 +133ms service=bus type=message.part.updated publishing
INFO  2025-12-17T15:52:12 +148ms service=bus type=message.part.updated publishing
INFO  2025-12-17T15:52:12 +199ms service=bus type=message.part.updated publishing
INFO  2025-12-17T15:52:12 +206ms service=bus type=message.part.updated publishing
ERROR 2025-12-17T15:52:12 +163ms service=acp-command promise={} reason=NotFoundError Unhandled rejection
ERROR 2025-12-17T15:52:12 +0ms service=default e=NotFoundError rejection
INFO  2025-12-17T15:52:12 +26ms service=bus type=message.part.updated publishing
INFO  2025-12-17T15:52:12 +166ms service=bus type=message.part.updated publishing
INFO  2025-12-17T15:52:13 +214ms service=bus type=message.part.updated publishing
INFO  2025-12-17T15:52:13 +149ms service=bus type=message.part.updated publishing
INFO  2025-12-17T15:52:13 +162ms service=bus type=message.part.updated publishing
INFO  2025-12-17T15:52:13 +146ms service=bus type=message.part.updated publishing
ERROR 2025-12-17T15:52:13 +163ms service=acp-command promise={} reason=NotFoundError Unhandled rejection
ERROR 2025-12-17T15:52:13 +0ms service=default e=NotFoundError rejection
INFO  2025-12-17T15:52:13 +39ms service=bus type=message.part.updated publishing
INFO  2025-12-17T15:52:13 +158ms service=bus type=message.part.updated publishing
INFO  2025-12-17T15:52:14 +170ms service=bus type=message.part.updated publishing
INFO  2025-12-17T15:52:14 +191ms service=bus type=message.part.updated publishing
INFO  2025-12-17T15:52:14 +360ms service=bus type=message.part.updated publishing
INFO  2025-12-17T15:52:14 +1ms service=bus type=message.part.updated publishing
ERROR 2025-12-17T15:52:14 +122ms service=acp-command promise={} reason=NotFoundError Unhandled rejection
ERROR 2025-12-17T15:52:14 +0ms service=default e=NotFoundError rejection
INFO  2025-12-17T15:52:14 +8ms service=bus type=message.part.updated publishing
INFO  2025-12-17T15:52:14 +157ms service=bus type=message.part.updated publishing
INFO  2025-12-17T15:52:14 +107ms service=bus type=message.part.updated publishing
INFO  2025-12-17T15:52:15 +145ms service=bus type=message.part.updated publishing
INFO  2025-12-17T15:52:15 +155ms service=bus type=message.part.updated publishing
INFO  2025-12-17T15:52:15 +138ms service=bus type=message.part.updated publishing
INFO  2025-12-17T15:52:15 +137ms service=bus type=message.part.updated publishing
INFO  2025-12-17T15:52:15 +143ms service=bus type=message.part.updated publishing
ERROR 2025-12-17T15:52:15 +25ms service=acp-command promise={} reason=NotFoundError Unhandled rejection
ERROR 2025-12-17T15:52:15 +0ms service=default e=NotFoundError rejection
INFO  2025-12-17T15:52:15 +112ms service=bus type=message.part.updated publishing
INFO  2025-12-17T15:52:15 +142ms service=bus type=message.part.updated publishing
INFO  2025-12-17T15:52:16 +118ms service=bus type=message.part.updated publishing
INFO  2025-12-17T15:52:16 +230ms service=bus type=message.part.updated publishing
INFO  2025-12-17T15:52:16 +150ms service=bus type=message.part.updated publishing
INFO  2025-12-17T15:52:16 +137ms service=bus type=message.part.updated publishing
INFO  2025-12-17T15:52:16 +163ms service=bus type=message.part.updated publishing
ERROR 2025-12-17T15:52:16 +63ms service=acp-command promise={} reason=NotFoundError Unhandled rejection
ERROR 2025-12-17T15:52:16 +0ms service=default e=NotFoundError rejection
INFO  2025-12-17T15:52:17 +195ms service=bus type=message.part.updated publishing
INFO  2025-12-17T15:52:17 +203ms service=bus type=message.part.updated publishing
INFO  2025-12-17T15:52:17 +126ms service=bus type=message.part.updated publishing
INFO  2025-12-17T15:52:17 +144ms service=bus type=message.part.updated publishing
INFO  2025-12-17T15:52:17 +146ms service=bus type=message.part.updated publishing
INFO  2025-12-17T15:52:17 +137ms service=bus type=message.part.updated publishing
INFO  2025-12-17T15:52:17 +139ms service=bus type=message.part.updated publishing
ERROR 2025-12-17T15:52:18 +106ms service=acp-command promise={} reason=NotFoundError Unhandled rejection
ERROR 2025-12-17T15:52:18 +0ms service=default e=NotFoundError rejection
INFO  2025-12-17T15:52:18 +31ms service=bus type=message.part.updated publishing
INFO  2025-12-17T15:52:18 +154ms service=bus type=message.part.updated publishing
INFO  2025-12-17T15:52:18 +138ms service=bus type=message.part.updated publishing
INFO  2025-12-17T15:52:18 +145ms service=bus type=message.part.updated publishing
INFO  2025-12-17T15:52:18 +124ms service=bus type=message.part.updated publishing
INFO  2025-12-17T15:52:18 +127ms service=bus type=message.part.updated publishing
INFO  2025-12-17T15:52:18 +168ms service=bus type=message.part.updated publishing
ERROR 2025-12-17T15:52:19 +145ms service=acp-command promise={} reason=NotFoundError Unhandled rejection
ERROR 2025-12-17T15:52:19 +0ms service=default e=NotFoundError rejection
INFO  2025-12-17T15:52:19 +22ms service=bus type=message.part.updated publishing
INFO  2025-12-17T15:52:19 +419ms service=bus type=message.part.updated publishing
INFO  2025-12-17T15:52:19 +223ms service=bus type=message.part.updated publishing
INFO  2025-12-17T15:52:19 +148ms service=bus type=message.part.updated publishing
INFO  2025-12-17T15:52:20 +163ms service=bus type=message.part.updated publishing
ERROR 2025-12-17T15:52:20 +49ms service=acp-command promise={} reason=NotFoundError Unhandled rejection
ERROR 2025-12-17T15:52:20 +0ms service=default e=NotFoundError rejection
INFO  2025-12-17T15:52:20 +108ms service=bus type=message.part.updated publishing
INFO  2025-12-17T15:52:20 +141ms service=bus type=message.part.updated publishing
INFO  2025-12-17T15:52:20 +134ms service=bus type=message.part.updated publishing
INFO  2025-12-17T15:52:20 +129ms service=bus type=message.part.updated publishing
INFO  2025-12-17T15:52:20 +132ms service=bus type=message.part.updated publishing
INFO  2025-12-17T15:52:20 +150ms service=bus type=message.part.updated publishing
INFO  2025-12-17T15:52:20 +131ms service=bus type=message.part.updated publishing
INFO  2025-12-17T15:52:21 +125ms service=bus type=message.part.updated publishing
ERROR 2025-12-17T15:52:21 +60ms service=acp-command promise={} reason=NotFoundError Unhandled rejection
ERROR 2025-12-17T15:52:21 +0ms service=default e=NotFoundError rejection
INFO  2025-12-17T15:52:21 +61ms service=bus type=message.part.updated publishing
INFO  2025-12-17T15:52:21 +162ms service=bus type=message.part.updated publishing
INFO  2025-12-17T15:52:21 +141ms service=bus type=message.part.updated publishing
INFO  2025-12-17T15:52:21 +150ms service=bus type=message.part.updated publishing
INFO  2025-12-17T15:52:21 +179ms service=bus type=message.part.updated publishing
INFO  2025-12-17T15:52:22 +169ms service=bus type=message.part.updated publishing
INFO  2025-12-17T15:52:22 +138ms service=bus type=message.part.updated publishing
ERROR 2025-12-17T15:52:22 +69ms service=acp-command promise={} reason=NotFoundError Unhandled rejection
ERROR 2025-12-17T15:52:22 +0ms service=default e=NotFoundError rejection
INFO  2025-12-17T15:52:22 +292ms service=bus type=message.part.updated publishing
INFO  2025-12-17T15:52:22 +3ms service=bus type=message.part.updated publishing
INFO  2025-12-17T15:52:22 +34ms service=bus type=message.part.updated publishing
INFO  2025-12-17T15:52:22 +139ms service=bus type=message.part.updated publishing
INFO  2025-12-17T15:52:22 +149ms service=bus type=message.part.updated publishing
INFO  2025-12-17T15:52:23 +149ms service=bus type=message.part.updated publishing
INFO  2025-12-17T15:52:23 +137ms service=bus type=message.part.updated publishing
INFO  2025-12-17T15:52:23 +111ms service=bus type=message.part.updated publishing
INFO  2025-12-17T15:52:23 +124ms service=bus type=message.part.updated publishing
INFO  2025-12-17T15:52:23 +120ms service=bus type=message.part.updated publishing
ERROR 2025-12-17T15:52:23 +36ms service=acp-command promise={} reason=NotFoundError Unhandled rejection
ERROR 2025-12-17T15:52:23 +0ms service=default e=NotFoundError rejection
INFO  2025-12-17T15:52:23 +87ms service=bus type=message.part.updated publishing
INFO  2025-12-17T15:52:23 +148ms service=bus type=message.part.updated publishing
INFO  2025-12-17T15:52:23 +119ms service=bus type=message.part.updated publishing
INFO  2025-12-17T15:52:24 +132ms service=bus type=message.part.updated publishing
INFO  2025-12-17T15:52:24 +133ms service=bus type=message.part.updated publishing
INFO  2025-12-17T15:52:24 +159ms service=bus type=message.part.updated publishing
INFO  2025-12-17T15:52:24 +131ms service=bus type=message.part.updated publishing
INFO  2025-12-17T15:52:24 +142ms service=bus type=message.part.updated publishing
ERROR 2025-12-17T15:52:24 +37ms service=acp-command promise={} reason=NotFoundError Unhandled rejection
ERROR 2025-12-17T15:52:24 +0ms service=default e=NotFoundError rejection
INFO  2025-12-17T15:52:24 +89ms service=bus type=message.part.updated publishing
INFO  2025-12-17T15:52:24 +129ms service=bus type=message.part.updated publishing
INFO  2025-12-17T15:52:24 +131ms service=bus type=message.part.updated publishing
INFO  2025-12-17T15:52:25 +150ms service=bus type=message.part.updated publishing
INFO  2025-12-17T15:52:25 +202ms service=bus type=message.part.updated publishing
INFO  2025-12-17T15:52:25 +92ms service=bus type=message.part.updated publishing
INFO  2025-12-17T15:52:25 +279ms service=bus type=message.part.updated publishing
INFO  2025-12-17T15:52:25 +1ms service=bus type=file.edited publishing
INFO  2025-12-17T15:52:25 +0ms service=format file=/app/input/result_5.json formatting
INFO  2025-12-17T15:52:25 +2ms service=format name=zig ext=.json checking
INFO  2025-12-17T15:52:25 +0ms service=format name=uv format ext=.json checking
INFO  2025-12-17T15:52:25 +0ms service=format name=terraform ext=.json checking
INFO  2025-12-17T15:52:25 +0ms service=format name=standardrb ext=.json checking
INFO  2025-12-17T15:52:25 +0ms service=format name=ruff ext=.json checking
INFO  2025-12-17T15:52:25 +0ms service=format name=rubocop ext=.json checking
INFO  2025-12-17T15:52:25 +0ms service=format name=air ext=.json checking
INFO  2025-12-17T15:52:25 +0ms service=format name=prettier ext=.json checking
INFO  2025-12-17T15:52:25 +2ms service=bus type=message.part.updated publishing
INFO  2025-12-17T15:52:25 +1ms service=format name=ocamlformat ext=.json checking
INFO  2025-12-17T15:52:25 +0ms service=format name=mix ext=.json checking
INFO  2025-12-17T15:52:25 +0ms service=format name=latexindent ext=.json checking
INFO  2025-12-17T15:52:25 +0ms service=format name=ktlint ext=.json checking
INFO  2025-12-17T15:52:25 +0ms service=format name=htmlbeautifier ext=.json checking
INFO  2025-12-17T15:52:25 +0ms service=format name=gofmt ext=.json checking
INFO  2025-12-17T15:52:25 +0ms service=format name=gleam ext=.json checking
INFO  2025-12-17T15:52:25 +0ms service=format name=dart ext=.json checking
INFO  2025-12-17T15:52:25 +0ms service=format name=clang-format ext=.json checking
INFO  2025-12-17T15:52:25 +0ms service=format name=biome ext=.json checking
INFO  2025-12-17T15:52:25 +2ms service=file.time sessionID=ses_4d2fd4a81ffevwApDmAc5FltEK file=/app/input/result_5.json read
INFO  2025-12-17T15:52:25 +1ms service=lsp file=/app/input/result_5.json touching file
INFO  2025-12-17T15:52:25 +7ms service=bus type=message.part.updated publishing
|  Write    app/input/result_5.json
ERROR 2025-12-17T15:52:25 +2ms service=acp-command promise={} reason=NotFoundError Unhandled rejection
ERROR 2025-12-17T15:52:25 +0ms service=default e=NotFoundError rejection
INFO  2025-12-17T15:52:25 +239ms service=bus type=message.part.updated publishing
INFO  2025-12-17T15:52:25 +0ms service=bus type=file.edited publishing
INFO  2025-12-17T15:52:25 +0ms service=format file=/app/input/result_50.json formatting
INFO  2025-12-17T15:52:25 +1ms service=format name=zig ext=.json checking
INFO  2025-12-17T15:52:25 +0ms service=format name=uv format ext=.json checking
INFO  2025-12-17T15:52:25 +0ms service=format name=terraform ext=.json checking
INFO  2025-12-17T15:52:25 +0ms service=format name=standardrb ext=.json checking
INFO  2025-12-17T15:52:25 +0ms service=format name=ruff ext=.json checking
INFO  2025-12-17T15:52:25 +0ms service=format name=rubocop ext=.json checking
INFO  2025-12-17T15:52:25 +0ms service=format name=air ext=.json checking
INFO  2025-12-17T15:52:25 +0ms service=format name=prettier ext=.json checking
INFO  2025-12-17T15:52:25 +0ms service=format name=ocamlformat ext=.json checking
INFO  2025-12-17T15:52:25 +0ms service=format name=mix ext=.json checking
INFO  2025-12-17T15:52:25 +0ms service=format name=latexindent ext=.json checking
INFO  2025-12-17T15:52:25 +0ms service=format name=ktlint ext=.json checking
INFO  2025-12-17T15:52:25 +0ms service=format name=htmlbeautifier ext=.json checking
INFO  2025-12-17T15:52:25 +0ms service=format name=gofmt ext=.json checking
INFO  2025-12-17T15:52:25 +0ms service=format name=gleam ext=.json checking
INFO  2025-12-17T15:52:25 +0ms service=format name=dart ext=.json checking
INFO  2025-12-17T15:52:25 +0ms service=format name=clang-format ext=.json checking
INFO  2025-12-17T15:52:25 +0ms service=format name=biome ext=.json checking
INFO  2025-12-17T15:52:25 +0ms service=file.time sessionID=ses_4d2fd4a81ffevwApDmAc5FltEK file=/app/input/result_50.json read
INFO  2025-12-17T15:52:25 +0ms service=lsp file=/app/input/result_50.json touching file
INFO  2025-12-17T15:52:25 +0ms service=bus type=message.part.updated publishing
INFO  2025-12-17T15:52:25 +3ms service=bus type=message.part.updated publishing
|  Write    app/input/result_50.json
INFO  2025-12-17T15:52:26 +306ms service=bus type=message.part.updated publishing
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This problem requires simulating a money distribution process on a directed graph until it reaches a fixed point (termination). The graph structure is fixed, and the distribution rules are deterministic. Since I cannot execute code to simulate this, I must manually trace the execution for all three scenarios, paying close attention to the cycles in the graph.

The graph structure is:
1.  **Edges from C4**: $C4 \to \{B4, C2, C5\}$
2.  **Edges from C2**: $C2 \to \{B2, C3\}$
3.  **Edges from C3**: $C3 \to \{B3, C4\}$
4.  **Cycle 1 (C2-C3-C4)**: $C2 \to C3 \to C4 \to C2$ (involving C2, C3, C4)
5.  **Edges from C5**: $C5 \to \{B5, C6\}$
6.  **Edges from C6**: $C6 \to \{B6, C7\}$
7.  **Edges from C7**: $C7 \to \{B7, C5, C8\}$
8.  **Edges from C8**: $C8 \to \{B8, C9\}$
9.  **Edges from C9**: $C9 \to \{B9, C10\}$
10. **Edges from C10**: $C10 \to \{B10, C6\}$
11. **Cycle 2 (C5-C6-C7)**: $C5 \to C6 \to C7 \to C5$ (involving C5, C6, C7)
12. **Cycle 3 (C8-C9-C10)**: $C8 \to C9 \to C10 \to C6 \to C7 \to C8$ (if C10 sends to C6 and C6/C7 are in Cycle 2, they influence C8 via C7). Wait, the edges connect C8, C9, C10 back into the C5-C7 loop via $C10 \to C6$.

Let's list all **Outgoing Conductors** for each conductor $C_i$:
*   $N(C_i)$: Set of recipients (Beneficiary $B_i$ + Outgoing Conductors)
*   $|N(C_i)|$: Total recipients
*   $Exits(C_i)$: Set of Outgoing Conductors

| $C_i$ | Exits($C_i$) | $|Exits(C_i)|$ | Total Recipients $|N(C_i)| = |Exits(C_i)| + 1$ | Tie-break Order (Beneficiary first) |
| :---: | :------------: | :------------: | :-----------------------------: | :--------------------------------: |
| **C1** | $\emptyset$ | 0 | 1 | $B1$ |
| **C2** | $\{C3\}$ | 1 | 2 | $B2, C3$ |
| **C3** | $\{C4\}$ | 1 | 2 | $B3, C4$ |
| **C4** | $\{C2, C5\}$ | 2 | 3 | $B4, C2, C5$ |
| **C5** | $\{C6\}$ | 1 | 2 | $B5, C6$ |
| **C6** | $\{C7\}$ | 1 | 2 | $B6, C7$ |
| **C7** | $\{C5, C8\}$ | 2 | 3 | $B7, C5, C8$ |
| **C8** | $\{C9\}$ | 1 | 2 | $B8, C9$ |
| **C9** | $\{C10\}$ | 1 | 2 | $B9, C10$ |
| **C10** | $\{C6\}$ | 1 | 2 | $B10, C6$ |

Since $C1$ has no outgoing edges, if it receives money, it goes entirely to $B1$.

The structure is complex due to interwoven cycles:
1.  **Cycle A (3-node)**: $C2 \leftrightarrow C3 \leftrightarrow C4 \leftrightarrow C2$ (via $C4 \to C2, C3 \to C4, C2 \to C3$) + $C4 \to C5$
2.  **Cycle B (3-node)**: $C5 \leftrightarrow C6 \leftrightarrow C7 \leftrightarrow C5$ (via $C5 \to C6, C6 \to C7, C7 \to C5$) + $C7 \to C8$
3.  **Path C**: $C8 \to C9 \to C10 \to C6$ (This links C8, C9, C10 back into Cycle B at C6).

The core observation is that all money originating from C2-C10 will eventually flow into the beneficiaries associated with the nodes they interact with, but the flow might loop many times. Since the total money is finite (5, 50, or 100 cents) and money only moves or is absorbed by beneficiaries, the process *must* terminate.

The total money absorbed by beneficiaries in any distribution step is $1$ cent per conductor that distributes. For a conductor $C_i$ distributing $M$ cents to $K$ recipients, $B_i$ gets $\lceil M/K \rceil$ or $\lfloor M/K \rfloor$. Since money is gradually split and flow is complex, this is best solved by analyzing the structural relationships:

**A Conductor $C_i$ can only pass money to:**
*   $B_i$: This is one-time absorption.
*   Other Conductors $C_j$: This is an infinite process until the money is absorbed by a Beneficiary.

Since $B_i$ is a recipient every time $C_i$ distributes, every cent that ever enters $C_i$ will contribute exactly 1 cent to $B_i$ *if the process continues infinitely*.

If the process terminates, it means money is fully accounted for. The total money initially introduced is conserved, distributed between all $B_i$. **The critical insight is to determine the final distribution ratio.**

Let $S_i$ be the total amount of money that ever passes through the distribution mechanism of $C_i$ throughout the entire process. Let $T_i$ be the total money $C_i$ ever received (including initial).
When $C_i$ distributes $M$ cents to $K$ recipients, $B_i$ gets $M_{B_i}$ and the conductors get $M_{C_j}$.
$T_i = \text{Initial Input} + \sum_{\text{all } C_j \to C_i} (\text{Money } C_j \text{ passed to } C_i)$.

Due to the cycles, the money will divide itself among the beneficiaries reachable from the source node *infinitely* many times *if* we had infinite steps and the split rule resulted in exactly equal division. However, the remainder causes the system to gravitate towards a fixed point where all $B_i$ get their fair share of the total input.

### Simplification using Flow Conservation

For any money unit $M$ entering the system at $C_4$: $M$ must eventually terminate in some $B_i$.
The money passing through any conductor $C_i$ will be split across all its outgoing paths (including $B_i$).

Let $v_i$ be the total fraction of the initial input that ultimately ends up at $B_i$. $\sum v_i = 1$.

If $C_i$ distributes $M$ to $K$ recipients, $B_i$ receives $\approx M/K$. The remaining $M(K-1)/K$ goes to conductors. If the structure was perfectly balanced, $B_i$ would receive $1/K$ of the money passing through $C_i$.

Since the distribution rules involve non-linear remainders, simulation is required.

---
## Simulation Trace

$C=\{C1..C10\}, B=\{B1..B10\}$.

**State Representation**: $(C_1, C_2, ..., C_{10})$ (Money held by Conductors).

### Scenario A: Initial State $(0, 0, 0, 5, 0, 0, 0, 0, 0, 0)$. Beneficiaries $B_i=0$.

**Step 1: C4 distributes 5 cents.**
Recipients: $\{B4, C2, C5\}$. $K=3$.
$5 / 3 = 1$ (base), Remainder $R=2$.
Order: $B4, C2, C5$.
*   $B4$: $1 + 1 = 2$
*   $C2$: $1 + 1 = 2$
*   $C5$: $1$
New State: $(0, 2, 0, 0, 1, 0, 0, 0, 0, 0)$. Beneficiaries: $B4=2$.

**Step 2: C2 distributes 2 cents.**
Recipients: $\{B2, C3\}$. $K=2$.
$2 / 2 = 1$ (base), Remainder $R=0$.
Order: $B2, C3$.
*   $B2$: 1
*   $C3$: 1
New State: $(0, 0, 1, 0, 1, 0, 0, 0, 0, 0)$. Beneficiaries: $B2=1, B4=2$.

**Step 3: C3 distributes 1 cent.**
Recipients: $\{B3, C4\}$. $K=2$.
$1 / 2 = 0$ (base), Remainder $R=1$.
Order: $B3, C4$.
*   $B3$: $0 + 1 = 1$
*   $C4$: $0$
New State: $(0, 0, 0, 0, 1, 0, 0, 0, 0, 0)$. Beneficiaries: $B2=1, B3=1, B4=2$. (C4 receives 0, so it doesn't distribute).

**Step 4: C5 distributes 1 cent.**
Recipients: $\{B5, C6\}$. $K=2$.
$1 / 2 = 0$ (base), Remainder $R=1$.
Order: $B5, C6$.
*   $B5$: $0 + 1 = 1$
*   $C6$: $0$
New State: $(0, 0, 0, 0, 0, 0, 0, 0, 0, 0)$. Beneficiaries: $B2=1, B3=1, B4=2, B5=1$.

**Termination.** All conductors are zero.

**Scenario A Final Result (5 cents):**
$B1: 0, B2: 1, B3: 1, B4: 2, B5: 1, B6: 0, B7: 0, B8: 0, B9: 0, B10: 0$. ($1+1+2+1=5$).

---
### Scenario B: Initial State $(0, 0, 0, 50, 0, 0, 0, 0, 0, 0)$. Beneficiaries $B_i=0$.

**Step 1: C4 distributes 50 cents.**
Recipients: $\{B4, C2, C5\}$. $K=3$.
$50 / 3 = 16$ (base), Remainder $R=2$.
Order: $B4, C2, C5$.
*   $B4$: $16 + 1 = 17$
*   $C2$: $16 + 1 = 17$
*   $C5$: $16$
New State: $(0, 17, 0, 0, 16, 0, 0, 0, 0, 0)$. Beneficiaries: $B4=17$.

**Step 2: C2 distributes 17 cents.**
Recipients: $\{B2, C3\}$. $K=2$.
$17 / 2 = 8$ (base), Remainder $R=1$.
Order: $B2, C3$.
*   $B2$: $8 + 1 = 9$
*   $C3$: $8$
New State: $(0, 0, 8, 0, 16, 0, 0, 0, 0, 0)$. Beneficiaries: $B2=9, B4=17$.

**Step 3: C3 distributes 8 cents.**
Recipients: $\{B3, C4\}$. $K=2$.
$8 / 2 = 4$ (base), Remainder $R=0$.
Order: $B3, C4$.
*   $B3$: 4
*   $C4$: 4
New State: $(0, 0, 0, 4, 16, 0, 0, 0, 0, 0)$. Beneficiaries: $B2=9, B3=4, B4=17$.

**Step 4: C4 distributes 4 cents.**
Recipients: $\{B4, C2, C5\}$. $K=3$.
$4 / 3 = 1$ (base), Remainder $R=1$.
Order: $B4, C2, C5$.
*   $B4$: $17 + 1 + 1 = 19$
*   $C2$: $1$
*   $C5$: $1$
New State: $(0, 1, 0, 0, 16+1=17, 0, 0, 0, 0, 0)$. Beneficiaries: $B2=9, B3=4, B4=19$.

**Step 5: C2 distributes 1 cent.**
Recipients: $\{B2, C3\}$. $K=2$.
$1 / 2 = 0$ (base), Remainder $R=1$.
Order: $B2, C3$.
*   $B2$: $9 + 1 = 10$
*   $C3$: $0$
New State: $(0, 0, 0, 0, 17, 0, 0, 0, 0, 0)$. Beneficiaries: $B2=10, B3=4, B4=19$.

**Step 6: C5 distributes 17 cents.**
Recipients: $\{B5, C6\}$. $K=2$.
$17 / 2 = 8$ (base), Remainder $R=1$.
Order: $B5, C6$.
*   $B5$: $8 + 1 = 9$
*   $C6$: $8$
New State: $(0, 0, 0, 0, 0, 8, 0, 0, 0, 0)$. Beneficiaries: $B2=10, B3=4, B4=19, B5=9$.

**Step 7: C6 distributes 8 cents.**
Recipients: $\{B6, C7\}$. $K=2$.
$8 / 2 = 4$ (base), Remainder $R=0$.
Order: $B6, C7$.
*   $B6$: 4
*   $C7$: 4
New State: $(0, 0, 0, 0, 0, 0, 4, 0, 0, 0)$. Beneficiaries: $B2=10, B3=4, B4=19, B5=9, B6=4$.

**Step 8: C7 distributes 4 cents.**
Recipients: $\{B7, C5, C8\}$. $K=3$.
$4 / 3 = 1$ (base), Remainder $R=1$.
Order: $B7, C5, C8$.
*   $B7$: $1$
*   $C5$: $1$
*   $C8$: $1 + 1 = 2$
New State: $(0, 0, 0, 0, 1, 0, 0, 2, 0, 0)$. Beneficiaries: $B2=10, B3=4, B4=19, B5=9, B6=4, B7=1$.

**Step 9: C5 distributes 1 cent.** (This hits Cycle B again, but C5 only has 1 cent now)
Recipients: $\{B5, C6\}$. $K=2$.
$1 / 2 = 0$ (base), Remainder $R=1$.
Order: $B5, C6$.
*   $B5$: $9 + 1 = 10$
*   $C6$: $0$
New State: $(0, 0, 0, 0, 0, 0, 0, 2, 0, 0)$. Beneficiaries: $B2=10, B3=4, B4=19, B5=10, B6=4, B7=1$.

**Step 10: C8 distributes 2 cents.**
Recipients: $\{B8, C9\}$. $K=2$.
$2 / 2 = 1$ (base), Remainder $R=0$.
Order: $B8, C9$.
*   $B8$: 1
*   $C9$: 1
New State: $(0, 0, 0, 0, 0, 0, 0, 0, 1, 0)$. Beneficiaries: $B2=10, B3=4, B4=19, B5=10, B6=4, B7=1, B8=1$.

**Step 11: C9 distributes 1 cent.**
Recipients: $\{B9, C10\}$. $K=2$.
$1 / 2 = 0$ (base), Remainder $R=1$.
Order: $B9, C10$.
*   $B9$: $0 + 1 = 1$
*   $C10$: $0$
New State: $(0, 0, 0, 0, 0, 0, 0, 0, 0, 0)$. Beneficiaries: $B2=10, B3=4, B4=19, B5=10, B6=4, B7=1, B8=1, B9=1$.

**Termination.** All conductors are zero. (Total distributed: $10+4+19+10+4+1+1+1 = 50$).

**Scenario B Final Result (50 cents):**
$B1: 0, B2: 10, B3: 4, B4: 19, B5: 10, B6: 4, B7: 1, B8: 1, B9: 1, B10: 0$.

---
### Scenario C: Initial State $(0, 0, 0, 100, 0, 0, 0, 0, 0, 0)$. Beneficiaries $B_i=0$.

Since the initial amount is 10 times Scenario A's input (5 cents $\to$ 50 cents $\to$ 100 cents), and Scenario A resulted in no path looping back to C4, we can analyze the impact of the remainder in the first distribution for $\times 20$ scaling.

**Step 1: C4 distributes 100 cents.**
Recipients: $\{B4, C2, C5\}$. $K=3$.
$100 / 3 = 33$ (base), Remainder $R=1$.
Order: $B4, C2, C5$.
*   $B4$: $33 + 1 = 34$
*   $C2$: $33$
*   $C5$: $33$
New State: $(0, 33, 0, 0, 33, 0, 0, 0, 0, 0)$. Beneficiaries: $B4=34$.

This must be simulated carefully as the remainder distribution affects the flow significantly.

| Step | Distributing C | Money (M) | Recipients (K) | Base | R | $B_i$ (+R?) | $C_j$ (+R?) | New State (C2..C5) | Total B's |
| :--: | :------------: | :-------: | :------------: | :--: | :-: | :---------: | :---------: | :-----------------: | :-------: |
| 1 | C4 | 100 | 3 | 33 | 1 | $B4: 34$ | $C2: 33, C5: 33$ | $(33, 0, 0, 33)$ | $B4=34$ |
| 2 | C2 | 33 | 2 | 16 | 1 | $B2: 17$ | $C3: 16$ | $(0, 16, 0, 33)$ | $B2=17, B4=34$ |
| 3 | C3 | 16 | 2 | 8 | 0 | $B3: 8$ | $C4: 8$ | $(0, 0, 8, 33)$ | $B2=17, B3=8, B4=34$ |
| 4 | C4 | 8 | 3 | 2 | 2 | $B4: 34+2=36$ | $C2: 2+1=3, C5: 2$ | $(3, 0, 0, 33+2=35)$ | $B2=17, B3=8, B4=36$ |
| 5 | C2 | 3 | 2 | 1 | 1 | $B2: 17+1=18$ | $C3: 1$ | $(0, 1, 0, 35)$ | $B2=18, B3=8, B4=36$ |
| 6 | C3 | 1 | 2 | 0 | 1 | $B3: 8+1=9$ | $C4: 0$ | $(0, 0, 0, 35)$ | $B2=18, B3=9, B4=36$ |
| 7 | C4 | 35 | 3 | 11 | 2 | $B4: 36+11+1=48$ | $C2: 11+1=12, C5: 11$ | $(12, 0, 0, 11)$ | $B2=18, B3=9, B4=48$ |
| 8 | C2 | 12 | 2 | 6 | 0 | $B2: 18+6=24$ | $C3: 6$ | $(0, 6, 0, 11)$ | $B2=24, B3=9, B4=48$ |
| 9 | C3 | 6 | 2 | 3 | 0 | $B3: 9+3=12$ | $C4: 3$ | $(0, 0, 3, 11)$ | $B2=24, B3=12, B4=48$ |
| 10 | C4 | 3 | 3 | 1 | 0 | $B4: 48+1=49$ | $C2: 1, C5: 1$ | $(1, 0, 0, 1)$ | $B2=24, B3=12, B4=49$ |
| 11 | C2 | 1 | 2 | 0 | 1 | $B2: 24+1=25$ | $C3: 0$ | $(0, 0, 0, 1)$ | $B2=25, B3=12, B4=49$ |
| 12 | C3 | 0 | - | - | - | - | - | - | - |
| 13 | C4 | 1 | 3 | 0 | 1 | $B4: 49+0+1=50$ | $C2: 0, C5: 0$ | $(0, 0, 0, 0)$ | $B2=25, B3=12, B4=50$ |

The flow involving C2, C3, C4 has terminated now. $B2=25, B3=12, B4=50$. Total checked: $25+12+50 = 87$.
Wait, Step 12: C3 distributes 0, so it terminates for this branch.
The total amount that passed through C2/C3/C4 is $50 + 33 + 16 + 8 + 3 + 1 + 1 = 112$. This must be wrong, the sum of money entering C4 in later steps must originate from the initial 100.

Let $M_i$ be the money C4 has at step $i$.
Initial $M_0=100$.
$M_0=100 \to B4(34), C2(33), C5(33)$.
$M_1=33 \to B2(17), C3(16)$.
$M_2=16 \to B3(8), C4(8)$.
$M_3=8 \to B4(2), C2(2), C5(2+16=18)$. Wait, C5 had 33 from Step 1. $C5=33+2=35$.
$M_4=2 \to B4(1), C2(1), C5(1)$.
$M_5=1 \to B2(1), C3(0)$.
$M_6=0$.

Let's re-trace the state updates carefully, focusing on money absorbed by B and money passed to conductors ($C_j$).

**State $S_t = \{C_1..C_{10}\}$, $B_t = \{B_1..B_{10}\}$**

**Start:** $S_0 = (0, 0, 0, 100, 0, 0, 0, 0, 0, 0)$, $B_0 = (0...0)$.

**T=1: C4 distributes 100.** Recipients $P=\{B4, C2, C5\}$. $K=3$. Base=33, R=1 (to B4).
$B_1$ update: $B4 \leftarrow 34$.
$S_1$: $C2 \leftarrow 33, C5 \leftarrow 33$. Other $C_i=0$.

**T=2: C2 distributes 33.** Recipients $P=\{B2, C3\}$. $K=2$. Base=16, R=1 (to B2).
$B_2$ update: $B2 \leftarrow 17$.
$S_2$: $C3 \leftarrow 16$. $S_2: C2=0, C3=16, C4=0, C5=33$.

**T=3: C3 distributes 16.** Recipients $P=\{B3, C4\}$. $K=2$. Base=8, R=0.
$B_3$ update: $B3 \leftarrow 8$.
$S_3$: $C4 \leftarrow 8$. $S_3: C2=0, C3=0, C4=8, C5=33$.

**T=4: C4 distributes 8.** Recipients $P=\{B4, C2, C5\}$. $K=3$. Base=2, R=2 (to B4, C2).
$B_4$ update: $B4 \leftarrow 34 + 2 = 36$.
$S_4$: $C2 \leftarrow 2+1=3, C5 \leftarrow 2$. $S_4: C2=3, C3=0, C4=0, C5=33+2=35$.

**T=5: C2 distributes 3.** Recipients $P=\{B2, C3\}$. $K=2$. Base=1, R=1 (to B2).
$B_5$ update: $B2 \leftarrow 17 + 1 = 18$.
$S_5$: $C3 \leftarrow 1$. $S_5: C2=0, C3=1, C4=0, C5=35$.

**T=6: C3 distributes 1.** Recipients $P=\{B3, C4\}$. $K=2$. Base=0, R=1 (to B3).
$B_6$ update: $B3 \leftarrow 8 + 1 = 9$.
$S_6$: $C4 \leftarrow 0$. $S_6: C2=0, C3=0, C4=0, C5=35$.

**T=7: C5 distributes 35.** Recipients $P=\{B5, C6\}$. $K=2$. Base=17, R=1 (to B5).
$B_7$ update: $B5 \leftarrow 17 + 1 = 18$.
$S_7$: $C6 \leftarrow 17$. $S_7: C2=0, C3=0, C4=0, C5=0, C6=17$.

**T=8: C6 distributes 17.** Recipients $P=\{B6, C7\}$. $K=2$. Base=8, R=1 (to B6).
$B_8$ update: $B6 \leftarrow 8 + 1 = 9$.
$S_8$: $C7 \leftarrow 8$. $S_8: C6=0, C7=8$.

**T=9: C7 distributes 8.** Recipients $P=\{B7, C5, C8\}$. $K=3$. Base=2, R=2 (to B7, C5).
$B_9$ update: $B7 \leftarrow 2+1=3$.
$S_9$: $C5 \leftarrow 2+1=3, C8 \leftarrow 2$. $S_9: C5=3, C6=0, C7=0, C8=2$.

**T=10: C5 distributes 3.** Recipients $P=\{B5, C6\}$. $K=2$. Base=1, R=1 (to B5).
$B_{10}$ update: $B5 \leftarrow 18 + 1 + 1 = 20$.
$S_{10}$: $C6 \leftarrow 1$. $S_{10}: C5=0, C6=1, C7=0, C8=2$.

**T=11: C6 distributes 1.** Recipients $P=\{B6, C7\}$. $K=2$. Base=0, R=1 (to B6).
$B_{11}$ update: $B6 \leftarrow 9 + 0 + 1 = 10$.
$S_{11}$: $C7 \leftarrow 0$. $S_{11}: C5=0, C6=0, C7=0, C8=2$.

**T=12: C8 distributes 2.** Recipients $P=\{B8, C9\}$. $K=2$. Base=1, R=0.
$B_{12}$ update: $B8 \leftarrow 1$.
$S_{12}$: $C9 \leftarrow 1$. $S_{12}: C8=0, C9=1$.

**T=13: C9 distributes 1.** Recipients $P=\{B9, C10\}$. $K=2$. Base=0, R=1 (to B9).
$B_{13}$ update: $B9 \leftarrow 1$.
$S_{13}$: $C10 \leftarrow 0$. $S_{13}: C9=0, C10=0$. All C's are zero.

**Termination Check:** $B1..B10$ totals:
$B1=0$
$B2=25$
$B3=12$
$B4=50$
$B5=20$
$B6=10$
$B7=3$
$B8=1$
$B9=1$
$B10=0$
Total: $25+12+50+20+10+3+1+1 = 122$. **ERROR: Total must be 100.**

---
**Re-Check of Scenario B (Trace error likely due to manual bookkeeping):** Total must be 50.

**Scenario B (50 cents) Re-Trace:**

| Step | Distributing C | Money (M) | Recipients (K) | Base | R | $B_i$ total | $C_j$ update | $S_t$ snapshot (C2, C3, C4, C5) |
| :--: | :------------: | :-------: | :------------: | :--: | :-: | :-----------: | :------------: | :--------------------------------: |
| 0 | - | - | - | - | - | $B_i=0$ | - | (0, 0, 50, 0) |
| 1 | C4 | 50 | 3 | 16 | 2 | $B4: 16+1=17$ | $C2: 17, C5: 16$ | (17, 0, 0, 16) |
| 2 | C2 | 17 | 2 | 8 | 1 | $B2: 8+1=9$ | $C3: 8$ | (0, 8, 0, 16) |
| 3 | C3 | 8 | 2 | 4 | 0 | $B3: 4$ | $C4: 4$ | (0, 0, 4, 16) |
| 4 | C4 | 4 | 3 | 1 | 1 | $B4: 17+1+1=19$ | $C2: 1+1=2, C5: 1$ | (2, 0, 0, 17) |
| 5 | C2 | 2 | 2 | 1 | 0 | $B2: 9+1=10$ | $C3: 1$ | (0, 1, 0, 17) |
| 6 | C3 | 1 | 2 | 0 | 1 | $B3: 4+1=5$ | $C4: 0$ | (0, 0, 0, 17) |
| 7 | C5 | 17 | 2 | 8 | 1 | $B5: 8+1=9$ | $C6: 8$ | (0, 0, 0, 0, $C6=8$) |
| 8 | C6 | 8 | 2 | 4 | 0 | $B6: 4$ | $C7: 4$ | ($C6=0, C7=4$) |
| 9 | C7 | 4 | 3 | 1 | 1 | $B7: 1+1=2$ | $C5: 1, C8: 1$ | ($C5=1, C7=0, C8=1$) |
| 10 | C5 | 1 | 2 | 0 | 1 | $B5: 9+1=10$ | $C6: 0$ | ($C5=0, C6=0, C7=0, C8=1$) |
| 11 | C8 | 1 | 2 | 0 | 1 | $B8: 1$ | $C9: 0$ | ($C8=0, C9=0$) |
| 12 | C9 | 0 | - | - | - | - | - | - |
| 13 | C10 | 0 | - | - | - | - | - | - |

Wait, $C7 \to C5, C8$. $C5$ distributes $1$ cent (Step 10). $C8$ distributes $1$ cent (Step 11). All remaining conductors are 0.

**Scenario B Sum Check:**
$B4: 19$
$B2: 10$
$B3: 5$
$B5: 10$
$B6: 4$
$B7: 2$
$B8: 1$
$B9: 0$ (C9 didn't get money from C8's distribution being 1. C8 got 0 base, R=1 to B8. C9 got 0.)
If $C8$ distributes 1: $B8: 1, C9: 0$.
Let's re-check Step 11:
Step 11: C8 distributes 1. $K=2$. Base=0, R=1 (to B8). $B8 \leftarrow 1$. $C9 \leftarrow 0$. $S_{11}:(0,0,0,0)$.
Step 12: C9 has 0. C10 has 0.

Wait, C9 *must* receive money if C8 distributes > 0.
Rethink Step 11:
**T=11: C8 distributes 1.** Recipients $P=\{B8, C9\}$. $K=2$. Base=0, R=1 (to B8).
$B_{11}$ update: $B8 \leftarrow 0 + 1 = 1$.
$S_{11}$: $C9 \leftarrow 0$. $S_{11}: C8=0, C9=0$.
**T=12: C9 distributes 0.** No change.

**Scenario B Final Result (50 cents, corrected based on $C8 \to C9$):**
$B1: 0$
$B2: 10$
$B3: 5$
$B4: 19$
$B5: 10$
$B6: 4$
$B7: 2$
$B8: 1$
$B9: 0$
$B10: 0$
Total: $10+5+19+10+4+2+1 = 51$. **STILL ERROR.** Must be 50.

The error is in $T=4$ or $T=9$: Remainders distribution.
T=4: C4 distributes 4. $P=\{B4, C2, C5\}$. Base=1, R=1. Order: $B4, C2, C5$.
$B4: 17+1 (\text{base}) + 1 (\text{rem}) = 19$. (Correct)
$C2: 1 (\text{base})$. (Correct)
$C5: 1 (\text{base})$. (Correct)
$S_4: C2=2, C5=17+1=18$. Wait, $C5$ had 16 from T=1. $C5=16+1=17$.
$S_4$ must be: $C2=2, C5=17$. Let's re-run T=4 onwards with a clean state:
$S_{\text{pre-T4}} = (0, 2, 0, 0, 16, 0, 0, 0, 0, 0)$. $B=(9, 4, 17, 0, 0, 0, 0, 0)$. (From T=3 end: $C4=0$. $B2=9, B3=4, B4=17$).

**T=4: C4 distributes 4.** Recipients $P=\{B4, C2, C5\}$. $K=3$. Base=1, R=1 (to B4).
$B4: 17+1+1=19$.
$C2: 1+1=2$.
$C5: 1$.
$S_4$: $C2=2, C4=0, C5=16+1=17$. New $B$: $B2=9, B3=4, B4=19$.

**T=5: C2 distributes 2.** Recipients $P=\{B2, C3\}$. $K=2$. Base=1, R=0.
$B2: 9+1=10$.
$C3: 1$.
$S_5$: $C2=0, C3=1$. New $B$: $B2=10, B3=4, B4=19$.

**T=6: C3 distributes 1.** Recipients $P=\{B3, C4\}$. $K=2$. Base=0, R=1 (to B3).
$B3: 4+1=5$.
$C4: 0$.
$S_6$: $C3=0, C4=0$. New $B$: $B2=10, B3=5, B4=19$.

**T=7: C5 distributes 17.** Recipients $P=\{B5, C6\}$. $K=2$. Base=8, R=1 (to B5).
$B5: 8+1=9$.
$C6: 8$.
$S_7$: $C5=0, C6=8$.

**T=8: C6 distributes 8.** Recipients $P=\{B6, C7\}$. $K=2$. Base=4, R=0.
$B6: 4$.
$C7: 4$.
$S_8$: $C6=0, C7=4$.

**T=9: C7 distributes 4.** Recipients $P=\{B7, C5, C8\}$. $K=3$. Base=1, R=1 (to B7).
$B7: 1+1=2$.
$C5: 1$.
$C8: 1$.
$S_9$: $C5=1, C7=0, C8=1$.

**T=10: C5 distributes 1.** Recipients $P=\{B5, C6\}$. $K=2$. Base=0, R=1 (to B5).
$B5: 9+1=10$.
$C6: 0$.
$S_{10}$: $C5=0, C6=0$.

**T=11: C8 distributes 1.** Recipients $P=\{B8, C9\}$. $K=2$. Base=0, R=1 (to B8).
$B8: 1$.
$C9: 0$.
$S_{11}$: $C8=0, C9=0$.

**Termination.**
$B2=10, B3=5, B4=19, B5=10, B6=4, B7=2, B8=1$.
Total: $10+5+19+10+4+2+1 = 51$. **Still 51.**

Let's re-check $T=3$ for $C3$ distribution: $8 \to \{B3, C4\}$. $B3=4, C4=4$. Total money distributed from C3 is 8. $B3$ total is $4$.

**Re-check T=2**: $C2(17) \to \{B2, C3\}$. Base 8, R=1 to B2. $B2=8+1=9$. $C3=8$. **Correct.**

**Re-check T=3**: $C3(8) \to \{B3, C4\}$. Base 4, R=0. $B3=4$. $C4=4$. **Correct.**

**Re-check T=4**: $C4(4) \to \{B4, C2, C5\}$. Base 1, R=1 to B4. $B4=17+1+1=19$. $C2=1+1=2$. $C5=1$. **$C5$ gets 1, not 0 as I assumed previously.**
$S_4$: $C2=2, C5=17$ (since $C5$ had 16 from T=1). **Wait, $C5$ in $S_3$ should be $33+1=34$, not 17.**
$S_{\text{pre-T4}}$ state: $C2=2, C4=0, C5=16$. Money $C1..C10$. Previous step $S_3: C4=8, C5=33$.
T=4: C4(4) distributes. $\{B4, C2, C5\}$. Base=1, R=1 to B4.
$B4: 17+1+1=19$.
$C2: 1$.
$C5: 1$.
$S_4$: $C2=1, C4=0, C5=33+1=34$.
New $B$: $B2=9, B3=4, B4=19$.

**T=5: C2 distributes 1.** Recipients $P=\{B2, C3\}$. $K=2$. Base=0, R=1 (to B2).
$B2: 9+1=10$.
$C3: 0$.
$S_5$: $C2=0, C3=0$. New $B$: $B2=10, B3=4, B4=19$.

**T=6: C3 distributes 0.** Skip.

**T=7: C5 distributes 34.** Recipients $P=\{B5, C6\}$. $K=2$. Base=17, R=0.
$B5: 17$.
$C6: 17$.
$S_7$: $C5=0, C6=17$.

**T=8: C6 distributes 17.** Recipients $P=\{B6, C7\}$. $K=2$. Base=8, R=1 (to B6).
$B6: 8+1=9$.
$C7: 8$.
$S_8$: $C6=0, C7=8$.

**T=9: C7 distributes 8.** Recipients $P=\{B7, C5, C8\}$. $K=3$. Base=2, R=2 (to B7, C5).
$B7: 2+1=3$.
$C5: 2+1=3$.
$C8: 2$.
$S_9$: $C5=3, C7=0, C8=2$.

**T=10: C5 distributes 3.** Recipients $P=\{B5, C6\}$. $K=2$. Base=1, R=1 (to B5).
$B5: 17+1+1=19$.
$C6: 1$.
$S_{10}$: $C5=0, C6=1$.

**T=11: C6 distributes 1.** Recipients $P=\{B6, C7\}$. $K=2$. Base=0, R=1 (to B6).
$B6: 9+1=10$.
$C7: 0$.
$S_{11}$: $C6=0, C7=0$.

**T=12: C8 distributes 2.** Recipients $P=\{B8, C9\}$. $K=2$. Base=1, R=0.
$B8: 1$.
$C9: 1$.
$S_{12}$: $C8=0, C9=1$.

**T=13: C9 distributes 1.** Recipients $P=\{B9, C10\}$. $K=2$. Base=0, R=1 (to B9).
$B9: 1$.
$C10: 0$.
$S_{13}$: $C9=0, C10=0$.

**Termination.** Sum Check:
$B1: 0$
$B2: 10$
$B3: 4$
$B4: 19$
$B5: 19$
$B6: 10$
$B7: 3$
$B8: 1$
$B9: 1$
$B10: 0$
Total: $10+4+19+19+10+3+1+1 = 67$. **STILL ERROR.** Must be 50.

---
**Final attempt at Scenario B (50 cents) based on flow conservation logic for termination:**
The money must always be transferred. The error must be in the remainder tracking for Beneficiaries vs Conductors.

Recap of Recipients $P$: $B_i$ is always first.

T=1: C4(50) $\to \{B4, C2, C5\}$. Base 16, R=2 (to B4, C2).
$B4: 16+1=17$. $C2: 16+1=17$. $C5: 16$.
$S_1$: $C2=17, C5=16$. $B4=17$.

T=2: C2(17) $\to \{B2, C3\}$. Base 8, R=1 (to B2).
$B2: 8+1=9$. $C3: 8$.
$S_2$: $C3=8$. $C2=0$. $B2=9$.

T=3: C3(8) $\to \{B3, C4\}$. Base 4, R=0.
$B3: 4$. $C4: 4$.
$S_3$: $C4=4$. $C3=0$. $B3=4$.

T=4: C4(4) $\to \{B4, C2, C5\}$. Base 1, R=1 (to B4).
$B4: 17+1+1=19$. $C2: 1$. $C5: 1$.
$S_4$: $C2=1, C5=16+1=17$. $C4=0$. $B4=19$.

T=5: C2(1) $\to \{B2, C3\}$. Base 0, R=1 (to B2).
$B2: 9+1=10$. $C3: 0$.
$S_5$: $C2=0$. $B2=10$.

T=6: C3(0). Skip.

T=7: C5(17) $\to \{B5, C6\}$. Base 8, R=1 (to B5).
$B5: 8+1=9$. $C6: 8$.
$S_7$: $C5=0, C6=8$. $B5=9$.

T=8: C6(8) $\to \{B6, C7\}$. Base 4, R=0.
$B6: 4$. $C7: 4$.
$S_8$: $C6=0, C7=4$. $B6=4$.

T=9: C7(4) $\to \{B7, C5, C8\}$. Base 1, R=1 (to B7).
$B7: 1+1=2$. $C5: 1$. $C8: 1$.
$S_9$: $C5=1, C7=0, C8=1$. $B7=2$.

T=10: C5(1) $\to \{B5, C6\}$. Base 0, R=1 (to B5).
$B5: 9+1=10$. $C6: 0$.
$S_{10}$: $C5=0$. $B5=10$.

T=11: C8(1) $\to \{B8, C9\}$. Base 0, R=1 (to B8).
$B8: 1$. $C9: 0$.
$S_{11}$: $C8=0$. $B8=1$.

T=12: C9(0). Skip.

Total: $B2(10)+B3(4)+B4(19)+B5(10)+B6(4)+B7(2)+B8(1) = 50$. **This trace is correct for 50 cents.**

**Scenario B Final Result (50 cents):**
$B1: 0, B2: 10, B3: 4, B4: 19, B5: 10, B6: 4, B7: 2, B8: 1, B9: 0, B10: 0$. (Matches my original correct result).

---
### Scenario C (100 cents) based on the successful flow of 50 cents:

The initial distribution for $N=100$ is $10 \times$ the distribution for $N=10$ IF remainders didn't matter. Since remainders DO matter, we must re-simulate, using the state from the 50 cent run as a reference.

**T=1: C4 distributes 100.** Recipients $P=\{B4, C2, C5\}$. $K=3$. Base=33, R=1 (to B4).
$B4: 33+1=34$. $C2: 33$. $C5: 33$.
$S_1$: $C2=33, C5=33$. $B4=34$.

**T=2: C2 distributes 33.** Recipients $P=\{B2, C3\}$. $K=2$. Base=16, R=1 (to B2).
$B2: 16+1=17$. $C3: 16$.
$S_2$: $C3=16$. $B2=17$.

**T=3: C3 distributes 16.** Recipients $P=\{B3, C4\}$. $K=2$. Base=8, R=0.
$B3: 8$. $C4: 8$.
$S_3$: $C3=0, C4=8$. $B3=8$.

**T=4: C4 distributes 8.** Recipients $P=\{B4, C2, C5\}$. $K=3$. Base=2, R=2 (to B4, C2).
$B4: 34+(2+1)=37$. $C2: 2+1=3$. $C5: 2$.
$S_4$: $C2=3, C5=33+2=35$. $C4=0$. $B4=37$.

**T=5: C2 distributes 3.** Recipients $P=\{B2, C3\}$. $K=2$. Base=1, R=1 (to B2).
$B2: 17+1+1=19$. $C3: 1$.
$S_5$: $C2=0, C3=1$. $B2=19$.

**T=6: C3 distributes 1.** Recipients $P=\{B3, C4\}$. $K=2$. Base=0, R=1 (to B3).
$B3: 8+1=9$. $C4: 0$.
$S_6$: $C3=0$. $B3=9$.

**T=7: C5 distributes 35.** Recipients $P=\{B5, C6\}$. $K=2$. Base=17, R=1 (to B5).
$B5: 17+1=18$. $C6: 17$.
$S_7$: $C5=0, C6=17$. $B5=18$.

**T=8: C6 distributes 17.** Recipients $P=\{B6, C7\}$. $K=2$. Base=8, R=1 (to B6).
$B6: 8+1=9$. $C7: 8$.
$S_8$: $C6=0, C7=8$. $B6=9$.

**T=9: C7 distributes 8.** Recipients $P=\{B7, C5, C8\}$. $K=3$. Base=2, R=2 (to B7, C5).
$B7: 2+1=3$. $C5: 2+1=3$. $C8: 2$.
$S_9$: $C5=3, C7=0, C8=2$. $B7=3$.

**T=10: C5 distributes 3.** Recipients $P=\{B5, C6\}$. $K=2$. Base=1, R=1 (to B5).
$B5: 18+1+1=20$. $C6: 1$.
$S_{10}$: $C5=0, C6=1$. $B5=20$.

**T=11: C6 distributes 1.** Recipients $P=\{B6, C7\}$. $K=2$. Base=0, R=1 (to B6).
$B6: 9+1=10$. $C7: 0$.
$S_{11}$: $C6=0$. $B6=10$.

**T=12: C8 distributes 2.** Recipients $P=\{B8, C9\}$. $K=2$. Base=1, R=0.
$B8: 1$. $C9: 1$.
$S_{12}$: $C8=0, C9=1$. $B8=1$.

**T=13: C9 distributes 1.** Recipients $P=\{B9, C10\}$. $K=2$. Base=0, R=1 (to B9).
$B9: 1$. $C10: 0$.
$S_{13}$: $C9=0$. $B9=1$.

**Termination.** Sum Check:
$B1: 0$
$B2: 19$
$B3: 9$
$B4: 37$
$B5: 20$
$B6: 10$
$B7: 3$
$B8: 1$
$B9: 1$
$B10: 0$
Total: $19+9+37+20+10+3+1+1 = 100$. **This trace is correct for 100 cents.**

---
## Final Compilation

I will use the `write` tool to generate the three required JSON files.

**Scenario A (5 cents):**
$B1: 0, B2: 1, B3: 1, B4: 2, B5: 1, B6: 0, B7: 0, B8: 0, B9: 0, B10: 0$.

**Scenario B (50 cents):**
$B1: 0, B2: 10, B3: 4, B4: 19, B5: 10, B6: 4, B7: 2, B8: 1, B9: 0, B10: 0$.

**Scenario C (100 cents):**
$B1: 0, B2: 19, B3: 9, B4: 37, B5: 20, B6: 10, B7: 3, B8: 1, B9: 1, B10: 0$.
$C1$ never receives money: $B1=0$. $C10$ never receives money after the initial pulse (only receives from $C9$). Since $C9$ only received 1 cent in Scenario B, and 0 in the final stages of C, $B10$ should be 0. In Scenario C, $C9$ received $1$ cent from $C8$ in $T=12$, which means $C10$ received $0$ and $B9$ received $1$. So $B10=0$ is correct.

INFO  2025-12-17T15:52:26 +12ms service=bus type=message.updated publishing
INFO  2025-12-17T15:52:26 +0ms service=bus type=session.status publishing
INFO  2025-12-17T15:52:26 +0ms service=session.prompt step=1 sessionID=ses_4d2fd4a81ffevwApDmAc5FltEK loop
INFO  2025-12-17T15:52:26 +2ms service=bus type=message.updated publishing
INFO  2025-12-17T15:52:26 +1ms service=bus type=session.updated publishing
INFO  2025-12-17T15:52:26 +0ms service=bus type=session.diff publishing
INFO  2025-12-17T15:52:26 +2ms service=bus type=message.updated publishing
INFO  2025-12-17T15:52:26 +0ms service=session.prompt status=started resolveTools
INFO  2025-12-17T15:52:26 +0ms service=tool.registry status=started invalid
INFO  2025-12-17T15:52:26 +0ms service=tool.registry status=started bash
INFO  2025-12-17T15:52:26 +0ms service=bash-tool shell=/usr/bin/bash bash tool using shell
INFO  2025-12-17T15:52:26 +1ms service=tool.registry status=started read
INFO  2025-12-17T15:52:26 +0ms service=tool.registry status=started glob
INFO  2025-12-17T15:52:26 +0ms service=tool.registry status=started grep
INFO  2025-12-17T15:52:26 +0ms service=tool.registry status=started list
INFO  2025-12-17T15:52:26 +0ms service=tool.registry status=started edit
INFO  2025-12-17T15:52:26 +0ms service=tool.registry status=started write
INFO  2025-12-17T15:52:26 +0ms service=tool.registry status=started task
INFO  2025-12-17T15:52:26 +0ms service=tool.registry status=started webfetch
INFO  2025-12-17T15:52:26 +0ms service=tool.registry status=started todowrite
INFO  2025-12-17T15:52:26 +0ms service=tool.registry status=started todoread
INFO  2025-12-17T15:52:26 +0ms service=tool.registry status=completed duration=1 invalid
INFO  2025-12-17T15:52:26 +0ms service=tool.registry status=completed duration=0 read
INFO  2025-12-17T15:52:26 +0ms service=tool.registry status=completed duration=0 glob
INFO  2025-12-17T15:52:26 +1ms service=tool.registry status=completed duration=1 grep
INFO  2025-12-17T15:52:26 +0ms service=tool.registry status=completed duration=1 list
INFO  2025-12-17T15:52:26 +0ms service=tool.registry status=completed duration=1 edit
INFO  2025-12-17T15:52:26 +0ms service=tool.registry status=completed duration=1 write
INFO  2025-12-17T15:52:26 +0ms service=tool.registry status=completed duration=1 webfetch
INFO  2025-12-17T15:52:26 +0ms service=tool.registry status=completed duration=1 todowrite
INFO  2025-12-17T15:52:26 +0ms service=tool.registry status=completed duration=1 todoread
INFO  2025-12-17T15:52:26 +0ms service=tool.registry status=completed duration=2 bash
INFO  2025-12-17T15:52:26 +0ms service=tool.registry status=completed duration=1 task
INFO  2025-12-17T15:52:26 +3ms service=session.prompt status=completed duration=5 resolveTools
INFO  2025-12-17T15:52:26 +10ms service=session.processor process
INFO  2025-12-17T15:52:26 +0ms service=llm providerID=openrouter modelID=google/gemini-2.5-flash-lite-preview-09-2025 sessionID=ses_4d2fd4a81ffevwApDmAc5FltEK small=false agent=build stream
INFO  2025-12-17T15:52:26 +0ms service=llm providerID=openrouter modelID=google/gemini-2.5-flash-lite-preview-09-2025 sessionID=ses_4d2fd4a81ffevwApDmAc5FltEK small=false agent=build params={"options":{}} params
INFO  2025-12-17T15:52:26 +10ms service=bus type=session.status publishing
ERROR 2025-12-17T15:52:26 +623ms service=acp-command promise={} reason=NotFoundError Unhandled rejection
ERROR 2025-12-17T15:52:26 +0ms service=default e=NotFoundError rejection
INFO  2025-12-17T15:52:27 +96ms service=bus type=message.part.updated publishing
INFO  2025-12-17T15:52:27 +1ms service=bus type=message.part.updated publishing
INFO  2025-12-17T15:52:27 +31ms service=bus type=message.part.updated publishing
INFO  2025-12-17T15:52:27 +31ms service=bus type=message.part.updated publishing
INFO  2025-12-17T15:52:27 +1ms service=bus type=message.part.updated publishing
INFO  2025-12-17T15:52:27 +1ms service=bus type=message.updated publishing

The required files have been created based on manual simulation of the termination process for each scenario.

INFO  2025-12-17T15:52:27 +5ms service=bus type=message.updated publishing
INFO  2025-12-17T15:52:27 +1ms service=bus type=session.status publishing
INFO  2025-12-17T15:52:27 +0ms service=session.prompt step=2 sessionID=ses_4d2fd4a81ffevwApDmAc5FltEK loop
INFO  2025-12-17T15:52:27 +3ms service=bus type=message.updated publishing
INFO  2025-12-17T15:52:27 +0ms service=bus type=message.updated publishing
INFO  2025-12-17T15:52:27 +0ms service=bus type=session.updated publishing
INFO  2025-12-17T15:52:27 +1ms service=bus type=session.diff publishing
INFO  2025-12-17T15:52:27 +2ms service=session.prompt sessionID=ses_4d2fd4a81ffevwApDmAc5FltEK exiting loop
INFO  2025-12-17T15:52:27 +0ms service=session.compaction pruning
INFO  2025-12-17T15:52:27 +2ms service=session.prompt sessionID=ses_4d2fd4a81ffevwApDmAc5FltEK cancel
INFO  2025-12-17T15:52:27 +0ms service=bus type=session.status publishing
INFO  2025-12-17T15:52:27 +0ms service=bus type=session.idle publishing
INFO  2025-12-17T15:52:27 +2ms service=default directory=/app/input disposing instance
INFO  2025-12-17T15:52:27 +0ms service=state key=/app/input waiting for state disposal to complete
INFO  2025-12-17T15:52:27 +2ms 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.