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--- Executing initial command ---
Executing user command:
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    echo "--- TASK BEGIN ---"; cat task.md; echo "--- TASK END ---";
    cd input && opencode run --print-logs < ../task.md

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    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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This is a complex simulation problem that requires careful state management and execution of recursive rules on a directed graph. Since I cannot ask clarifying questions, I must devise a robust, step-by-step simulation plan and then execute it using the available tools.

The problem involves:
1.  **Graph Definition**: Defining nodes (C1-C10, B1-B10) and edges.
2.  **Distribution Logic**: Implementing the split rule, including the tie-breaker order (B_i first, then C1 < C2 < ... < C10).
3.  **Simulation Loop**: Iteratively processing conductors until no conductor holds money.
4.  **Three Scenarios**: Running the simulation for initial inputs of 5, 50, and 100 cents at C4.
5.  **Output**: Generating three specific JSON files.

I will use the `bash` tool to run a Python script that performs this simulation, as it is the most robust way to handle the complex state, recursion, and precise arithmetic/tie-breaking rules required.

The structure of the Python script will be:
1.  Define the graph structure (adjacency list for outgoing edges).
2.  Define the tie-breaker order for distribution.
3.  Define the distribution logic function which takes an amount and a list of recipients, applies the split rule, and returns the distribution map.
4.  Define the main simulation loop which processes conductors based on the graph and the distribution logic until convergence.
5.  Run the simulation for each of the three starting conditions (5, 50, 100 at C4).
6.  Generate the required JSON output files.

I will start by creating and executing the Python script.

First, I will construct the Python code. I will ensure the tie-breaking order for a conductor $C_i$ is: $B_i$, then $C_1, C_2, \dots, C_{10}$ in alphabetical order. The list of recipients for $C_i$ is $\{B_i\} \cup \{\text{successors of } C_i\}$.

### Graph and Tie-Breaker Order

**Edges (Successors):**
*   C1: {C2}
*   C2: {C3}
*   C3: {C4}
*   C4: {C2, C5}
*   C5: {C6}
*   C6: {C7}
*   C7: {C5, C8}
*   C8: {C9}
*   C9: {C10}
*   C10: {C6}

**Recipients for $C_i$ (Sorted by Tie-Break Priority):**
*   C1: $[B1, C2]$
*   C2: $[B2, C3]$
*   C3: $[B3, C4]$
*   C4: $[B4, C2, C5]$ (Since $C2 < C5$ alphabetically)
*   C5: $[B5, C6]$
*   C6: $[B6, C7]$
*   C7: $[B7, C5, C8]$ (Since $C5 < C8$ alphabetically)
*   C8: $[B8, C9]$
*   C9: $[B9, C10]$
*   C10: $[B10, C6]$

The initial money of $M$ is placed in $C4$. The simulation stops when all $C_i$ balances are zero.

I will now use the `bash` tool to create and run the simulation script.

I will first use `write` to create the Python file, and then use `bash` to execute it. I must ensure the resulting JSON files are created in the current working directory, `/app/input`.

### Step 1: Write the Python script

The Python script will be named `simulator.py`.

INFO  2026-01-23T15:32:22 +37ms service=format name=uv format ext=.py enabled
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INFO  2026-01-23T15:32:22 +0ms service=format name=biome ext=.py checking
INFO  2026-01-23T15:32:22 +0ms service=format command=["uv","format","--","$FILE"] running
INFO  2026-01-23T15:32:22 +487ms service=file.time sessionID=ses_41483e52bffe4aK9rsU4t6nl4U file=/app/input/simulator.py read
INFO  2026-01-23T15:32:22 +1ms service=lsp file=/app/input/simulator.py touching file
  ���� Resolving [1/1]   ���� pyright [7/6]   ���� pyright [7/6]   ���� Saving lockfile... INFO  2026-01-23T15:32:24 +1383ms service=lsp serverID=pyright spawned lsp server
INFO  2026-01-23T15:32:24 +0ms service=lsp.client serverID=pyright starting client
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INFO  2026-01-23T15:32:25 +768ms service=lsp.client serverID=pyright initialized
INFO  2026-01-23T15:32:25 +1ms service=bus type=lsp.updated publishing
INFO  2026-01-23T15:32:25 +0ms service=lsp.client serverID=pyright path=/app/input/simulator.py waiting for diagnostics
INFO  2026-01-23T15:32:25 +0ms service=bus type=lsp.client.diagnostics subscribing
INFO  2026-01-23T15:32:25 +7ms service=lsp.client serverID=pyright path=/app/input/simulator.py workspace/didChangeWatchedFiles
INFO  2026-01-23T15:32:25 +0ms service=lsp.client serverID=pyright path=/app/input/simulator.py textDocument/didOpen
INFO  2026-01-23T15:32:28 +3000ms service=bus type=lsp.client.diagnostics unsubscribing
INFO  2026-01-23T15:32:28 +17ms service=bus type=message.part.updated publishing
|  Write    app/input/simulator.py
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INFO  2026-01-23T15:32:28 +0ms service=tool.registry status=started bash
INFO  2026-01-23T15:32:28 +1ms service=bash-tool shell=/usr/bin/bash bash tool using shell
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INFO  2026-01-23T15:32:28 +0ms service=tool.registry status=completed duration=2 bash
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INFO  2026-01-23T15:32:28 +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  2026-01-23T15:32:28 +2ms service=tool.registry status=completed duration=3 task
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INFO  2026-01-23T15:32:28 +1ms service=llm providerID=openrouter modelID=google/gemini-2.5-flash-lite-preview-09-2025 sessionID=ses_41483e52bffe4aK9rsU4t6nl4U small=false agent=build stream
INFO  2026-01-23T15:32:28 +28ms service=bus type=session.status publishing
INFO  2026-01-23T15:32:28 +344ms service=lsp.client serverID=pyright path=/app/input/simulator.py count=0 textDocument/publishDiagnostics
INFO  2026-01-23T15:32:28 +0ms service=bus type=lsp.client.diagnostics publishing
INFO  2026-01-23T15:32:28 +336ms service=bus type=message.part.updated publishing
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INFO  2026-01-23T15:32:29 +29ms service=bus type=message.part.updated publishing
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INFO  2026-01-23T15:32:29 +16ms service=bus type=message.part.updated publishing
INFO  2026-01-23T15:32:29 +39ms service=bus type=message.part.updated publishing

The Python script `simulator.py` is created. Now I will execute it using `bash` to perform the simulation and generate the three required JSON files. This command will run the script, which in turn prints the results of each scenario to standard output after saving them to the specified files.

INFO  2026-01-23T15:32:29 +99ms service=permission permission=bash pattern=python3 simulator.py 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  2026-01-23T15:32:29 +1ms service=permission permission=bash pattern=python3 simulator.py action={"permission":"*","pattern":"*","action":"allow"} evaluated
INFO  2026-01-23T15:32:29 +33ms service=bus type=message.part.updated publishing
INFO  2026-01-23T15:32:29 +227ms service=bus type=message.part.updated publishing
INFO  2026-01-23T15:32:29 +20ms service=bus type=message.part.updated publishing
|  Bash     Run Python script to calculate money distribution scenarios

Results saved to result_5.json
{
  "B1": 0,
  "B10": 0,
  "B2": 1,
  "B3": 1,
  "B4": 2,
  "B5": 1,
  "B6": 0,
  "B7": 0,
  "B8": 0,
  "B9": 0
}
Results saved to result_50.json
{
  "B1": 0,
  "B10": 0,
  "B2": 10,
  "B3": 4,
  "B4": 19,
  "B5": 9,
  "B6": 5,
  "B7": 2,
  "B8": 1,
  "B9": 0
}
Results saved to result_100.json
{
  "B1": 0,
  "B10": 0,
  "B2": 19,
  "B3": 9,
  "B4": 37,
  "B5": 20,
  "B6": 9,
  "B7": 4,
  "B8": 1,
  "B9": 1
}

INFO  2026-01-23T15:32:29 +5ms service=bus type=message.part.updated publishing
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INFO  2026-01-23T15:32:29 +0ms service=session.prompt step=2 sessionID=ses_41483e52bffe4aK9rsU4t6nl4U loop
INFO  2026-01-23T15:32:29 +15ms service=bus type=message.updated publishing
INFO  2026-01-23T15:32:29 +3ms service=bus type=session.updated publishing
INFO  2026-01-23T15:32:29 +1ms service=bus type=session.diff publishing
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INFO  2026-01-23T15:32:29 +0ms service=tool.registry status=started bash
INFO  2026-01-23T15:32:29 +0ms service=bash-tool shell=/usr/bin/bash bash tool using shell
INFO  2026-01-23T15:32:29 +1ms service=tool.registry status=started read
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INFO  2026-01-23T15:32:29 +0ms service=tool.registry status=started todowrite
INFO  2026-01-23T15:32:29 +1ms service=tool.registry status=started todoread
INFO  2026-01-23T15:32:29 +0ms service=tool.registry status=started skill
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INFO  2026-01-23T15:32:29 +0ms service=tool.registry status=completed duration=2 write
INFO  2026-01-23T15:32:29 +0ms service=tool.registry status=completed duration=2 webfetch
INFO  2026-01-23T15:32:29 +0ms service=tool.registry status=completed duration=2 todowrite
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INFO  2026-01-23T15:32:29 +0ms service=tool.registry status=completed duration=3 bash
INFO  2026-01-23T15:32:29 +0ms service=tool.registry status=completed duration=1 skill
INFO  2026-01-23T15:32:29 +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  2026-01-23T15:32:29 +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  2026-01-23T15:32:29 +0ms service=tool.registry status=completed duration=3 task
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INFO  2026-01-23T15:32:29 +16ms service=session.processor process
INFO  2026-01-23T15:32:29 +0ms service=llm providerID=openrouter modelID=google/gemini-2.5-flash-lite-preview-09-2025 sessionID=ses_41483e52bffe4aK9rsU4t6nl4U small=false agent=build stream
INFO  2026-01-23T15:32:29 +8ms service=bus type=session.status publishing
INFO  2026-01-23T15:32:30 +646ms service=bus type=message.part.updated publishing
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INFO  2026-01-23T15:32:30 +235ms service=bus type=message.part.updated publishing
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INFO  2026-01-23T15:32:30 +91ms service=bus type=message.part.updated publishing
INFO  2026-01-23T15:32:31 +184ms service=bus type=message.part.updated publishing
INFO  2026-01-23T15:32:31 +296ms service=bus type=message.part.updated publishing
INFO  2026-01-23T15:32:31 +129ms service=bus type=message.part.updated publishing
INFO  2026-01-23T15:32:31 +124ms service=bus type=message.part.updated publishing
INFO  2026-01-23T15:32:31 +59ms service=bus type=message.part.updated publishing
INFO  2026-01-23T15:32:31 +15ms service=bus type=message.part.updated publishing

The simulation has completed for all three scenarios. The output above shows the final amounts for beneficiaries B1 through B10, corresponding to the three JSON files requested.

The output order seems to be for the three scenarios sequentially, based on the order they were called in `simulator.py`: Scenario A (5 cents), Scenario B (50 cents), and Scenario C (100 cents).

The results are:
*   **Scenario A (5 cents)**: `{"B1": 0, "B2": 1, "B3": 1, "B4": 2, "B5": 1, "B6": 0, "B7": 0, "B8": 0, "B9": 0, "B10": 0}` (Total: 5 cents distributed)
*   **Scenario B (50 cents)**: `{"B1": 0, "B2": 10, "B3": 4, "B4": 19, "B5": 9, "B6": 5, "B7": 2, "B8": 1, "B9": 0, "B10": 0}` (Total: 50 cents distributed)
*   **Scenario C (100 cents)**: `{"B1": 0, "B2": 19, "B3": 9, "B4": 37, "B5": 20, "B6": 9, "B7": 4, "B8": 1, "B9": 1, "B10": 0}` (Total: 100 cents distributed)

The `simulator.py` script confirmed that the files `result_5.json`, `result_50.json`, and `result_100.json` were created with these contents.

INFO  2026-01-23T15:32:31 +2ms service=bus type=message.part.updated publishing
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INFO  2026-01-23T15:32:31 +3ms service=bus type=session.status publishing
INFO  2026-01-23T15:32:31 +0ms service=session.prompt step=3 sessionID=ses_41483e52bffe4aK9rsU4t6nl4U loop
INFO  2026-01-23T15:32:31 +18ms service=bus type=message.updated publishing
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INFO  2026-01-23T15:32:31 +1ms service=bus type=session.diff publishing
INFO  2026-01-23T15:32:31 +11ms service=session.prompt sessionID=ses_41483e52bffe4aK9rsU4t6nl4U exiting loop
INFO  2026-01-23T15:32:31 +1ms service=session.compaction pruning
INFO  2026-01-23T15:32:31 +4ms service=session.prompt sessionID=ses_41483e52bffe4aK9rsU4t6nl4U cancel
INFO  2026-01-23T15:32:31 +0ms service=bus type=session.status publishing
INFO  2026-01-23T15:32:31 +0ms service=bus type=session.idle publishing
INFO  2026-01-23T15:32:31 +2ms service=default directory=/app/input disposing instance
INFO  2026-01-23T15:32:31 +1ms service=state key=/app/input waiting for state disposal to complete
INFO  2026-01-23T15:32:31 +5ms service=lsp.client serverID=pyright shutting down
INFO  2026-01-23T15:32:31 +7ms service=lsp.client serverID=pyright shutdown
INFO  2026-01-23T15:32:31 +1ms 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.