/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.
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No project_name provided - skipping configuration directory setup.
Session created successfully!
Session ID: a833586a
Image: opencode
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Command logs:
Initializing opencode v1.0.0
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--- 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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This is a complex problem that requires a simulation to solve the money distribution process based on the given graph structure and rules. Since the problem involves deterministic state changes and I need to output the results as JSON files, I will write a Python script to model the graph, implement the distribution logic, run the three scenarios, and output the required JSON files.

The plan is:
1.  **Define the graph structure and distribution rules** within a Python script.
2.  **Implement the `distribute` function** based on the split rule and tie-break order.
3.  **Implement the simulation loop** that continues until all `CONDUCTOR` nodes have 0 cents.
4.  **Run the simulation** for scenarios A (5 cents), B (50 cents), and C (100 cents).
5.  **Generate the three required JSON files**.

I will create a file named `money_distributor.py` and execute it.

## `money_distributor.py`

```python
import json
from collections import defaultdict

# 1. Define the graph structure (CONDUCTOR to CONDUCTOR edges)
# C1-C10 and B1-B10 are implicitly defined.
CONDUCTOR_EDGES = {
    'C1': ['C2'],
    'C2': ['C3'],
    'C3': ['C4'],
    'C4': ['C2', 'C5'],
    'C5': ['C6'],
    'C6': ['C7'],
    'C7': ['C5', 'C8'],
    'C8': ['C9'],
    'C9': ['C10'],
    'C10': ['C6'],
    'C11': [],  # Placeholder to ensure all C nodes are considered for sorting if needed
    # C1 through C10 are the only CONDUCTOR nodes
}

CONDUCTOR_NODES = sorted(list(CONDUCTOR_EDGES.keys()))

def get_beneficiary(conductor_name):
    """Returns the name of the beneficiary for a given conductor."""
    return f"B{conductor_name[1:]}"

def get_recipients(conductor_name):
    """
    Returns the list of recipients (Beneficiary + Conductors) in tie-break order.
    Tie-break order: BENEFICIARY first, then CONDUCTORs alphabetically (C1 < C2 < ... < C10).
    """
    beneficiary = get_beneficiary(conductor_name)
    conductors = sorted(CONDUCTOR_EDGES.get(conductor_name, []))

    # The tie-break order is Bx first, then sorted conductors
    return [beneficiary] + conductors

def distribute(amount, recipients):
    """
    Distributes an amount of money among recipients based on the Split Rule and Tie-break Order.
    Returns a dictionary of {recipient: amount_received}.
    """
    num_recipients = len(recipients)

    if num_recipients == 0:
        return {}

    # 1. Divide money equally among all participants
    base_share = amount // num_recipients
    remainder = amount % num_recipients

    distribution = defaultdict(int)

    # 2. Assign the base share
    for recipient in recipients:
        distribution[recipient] = base_share

    # 3. Remaining cents (from integer division) are distributed one by one
    # The `recipients` list is already in the tie-break order (Beneficiary, then sorted Conductors)
    for i in range(remainder):
        recipient = recipients[i]
        distribution[recipient] += 1

    return dict(distribution)

def run_simulation(initial_c4_amount):
    """
    Runs the money distribution simulation until termination.
    Returns the final amount held by each BENEFICIARY.
    """
    # CONDUCTORs start with 0, except C4
    conductor_money = defaultdict(int)
    for i in range(1, 11):
        conductor_money[f'C{i}'] = 0

    conductor_money['C4'] = initial_c4_amount

    # BENEFICIARYs start with 0
    beneficiary_money = defaultdict(int)
    for i in range(1, 11):
        beneficiary_money[f'B{i}'] = 0

    # Queue of CONDUCTORs that need to distribute money
    # Only C4 needs to distribute initially.
    distribution_queue = ['C4']

    while distribution_queue:
        current_conductor = distribution_queue.pop(0)

        amount = conductor_money[current_conductor]

        if amount <= 0:
            continue

        # Clear the money from the current CONDUCTOR before distribution
        conductor_money[current_conductor] = 0

        # Determine recipients and distribution amounts
        recipients = get_recipients(current_conductor)
        distributed_amounts = distribute(amount, recipients)

        # Apply the distribution
        for recipient, received_amount in distributed_amounts.items():
            if recipient.startswith('B'):
                beneficiary_money[recipient] += received_amount
            elif recipient.startswith('C'):
                # CONDUCTOR receives money. If it's a positive amount, it must distribute it.
                # The rule is: "Any CONDUCTOR receiving positive money repeats the same distribution."
                # We should add the received amount to their current balance and only add it to the queue
                # if its balance becomes positive AND it's not already in the queue.

                # Check the amount *before* adding the new money to see if it was zero
                was_zero = conductor_money[recipient] == 0

                conductor_money[recipient] += received_amount

                # If the conductor was not in the queue and now has money, add it.
                # Since the money is only distributed if N > 0, we can check if the total is > 0.
                if conductor_money[recipient] > 0 and was_zero:
                    distribution_queue.append(recipient)

        # Re-sort the queue to handle priority or simply maintain order.
        # Since the problem doesn't specify a priority order for the queue (which CONDUCTOR distributes first),
        # a simple FIFO (queue.pop(0)) is the safest deterministic choice.
        # However, to ensure deterministic behavior across multiple simultaneous additions,
        # and since the problem is essentially a fixed point iteration, we sort the queue
        # to ensure that, at any state, the node that distributes next is the same.
        # Sorting alphabetically by C-node name is a common tie-breaker for graphs.
        distribution_queue.sort()

    # Format the final result
    final_result = {f'B{i}': beneficiary_money[f'B{i}'] for i in range(1, 11)}
    return final_result

def write_results(scenario_name, initial_amount, result):
    """Writes the result to the specified JSON file."""
    filename = f"result_{initial_amount}.json"
    print(f"Writing results for {scenario_name} to {filename}...")

    # Ensure all B nodes are present, even if their value is 0 (which shouldn't happen here, but good practice)
    output_data = {f'B{i}': result.get(f'B{i}', 0) for i in range(1, 11)}

    # Use the Write tool to create the file
    return output_data, filename

# --- Main Execution ---

scenarios = [
    ("Scenario A", 5),
    ("Scenario B", 50),
    ("Scenario C", 100)
]

output_files = []

for name, amount in scenarios:
    result = run_simulation(amount)
    data, filename = write_results(name, amount, result)
    # The output from write_results is the data and filename, which I'll pass to the Write tool.
    output_files.append((filename, data))

# Now, use the Write tool for the three files
writes = []
for filename, data in output_files:
    writes.append({
        "filePath": f"/app/input/{filename}",
        "content": json.dumps(data, indent=2)
    })

print("The simulation script is ready. I will now create the three JSON files.")
```

I will now write the script content to `money_distributor.py` and then execute it. The execution will produce the three JSON files in the `/app/input` directory.

Since I cannot use the `write` tool directly from the Python script's execution, I must integrate the logic into the model's environment. I will first write the `money_distributor.py` file and then execute it using the `bash` tool to print the contents of the three resulting JSON files. Finally, I will use the `write` tool with the absolute paths to create the files based on the output.

Wait, I don't need to run a script and then read its output. I can run the python script to generate the JSON content, and then use the `write` tool to create the files.

I'll proceed by writing the Python script to a file and then running it.

## Step 1: Write the Python script

I'll write the script using the `write` tool.

```python
import json
from collections import defaultdict
import sys

# 1. Define the graph structure (CONDUCTOR to CONDUCTOR edges)
CONDUCTOR_EDGES = {
    'C1': ['C2'],
    'C2': ['C3'],
    'C3': ['C4'],
    'C4': ['C2', 'C5'],
    'C5': ['C6'],
    'C6': ['C7'],
    'C7': ['C5', 'C8'],
    'C8': ['C9'],
    'C9': ['C10'],
    'C10': ['C6'],
}

def get_beneficiary(conductor_name):
    """Returns the name of the beneficiary for a given conductor."""
    return f"B{conductor_name[1:]}"

def get_recipients(conductor_name):
    """
    Returns the list of recipients (Beneficiary + Conductors) in tie-break order.
    Tie-break order: BENEFICIARY first, then CONDUCTORs alphabetically (C1 < C2 < ... < C10).
    """
    beneficiary = get_beneficiary(conductor_name)
    conductors = sorted(CONDUCTOR_EDGES.get(conductor_name, []))

    # The tie-break order is Bx first, then sorted conductors
    return [beneficiary] + conductors

def distribute(amount, recipients):
    """
    Distributes an amount of money among recipients based on the Split Rule and Tie-break Order.
    Returns a dictionary of {recipient: amount_received}.
    """
    num_recipients = len(recipients)

    if num_recipients == 0:
        return {}

    # 1. Divide money equally among all participants
    base_share = amount // num_recipients
    remainder = amount % num_recipients

    distribution = defaultdict(int)

    # 2. Assign the base share
    for recipient in recipients:
        distribution[recipient] = base_share

    # 3. Remaining cents (from integer division) are distributed one by one
    # The `recipients` list is already in the tie-break order
    for i in range(remainder):
        recipient = recipients[i]
        distribution[recipient] += 1

    return dict(distribution)

def run_simulation(initial_c4_amount):
    """
    Runs the money distribution simulation until termination.
    Returns the final amount held by each BENEFICIARY.
    """
    # CONDUCTORs start with 0, except C4
    conductor_money = defaultdict(int)
    for i in range(1, 11):
        conductor_money[f'C{i}'] = 0

    conductor_money['C4'] = initial_c4_amount

    # BENEFICIARYs start with 0
    beneficiary_money = defaultdict(int)
    for i in range(1, 11):
        beneficiary_money[f'B{i}'] = 0

    # Queue of CONDUCTORs that need to distribute money
    distribution_queue = ['C4'] if initial_c4_amount > 0 else []

    while distribution_queue:
        current_conductor = distribution_queue.pop(0)

        amount = conductor_money[current_conductor]

        if amount <= 0:
            continue

        # Clear the money from the current CONDUCTOR before distribution
        conductor_money[current_conductor] = 0

        # Determine recipients and distribution amounts
        recipients = get_recipients(current_conductor)
        distributed_amounts = distribute(amount, recipients)

        # Apply the distribution
        new_conductors_to_queue = []
        for recipient, received_amount in distributed_amounts.items():
            if received_amount == 0:
                continue

            if recipient.startswith('B'):
                beneficiary_money[recipient] += received_amount
            elif recipient.startswith('C'):
                # Check the amount *before* adding the new money to see if it was zero
                was_zero = conductor_money[recipient] == 0

                conductor_money[recipient] += received_amount

                # If the conductor was not in the queue and now has money, add it.
                if conductor_money[recipient] > 0 and was_zero:
                    new_conductors_to_queue.append(recipient)

        # Add new conductors to the queue and sort it to maintain deterministic execution order
        distribution_queue.extend(new_conductors_to_queue)
        distribution_queue.sort()


    # Format the final result
    final_result = {f'B{i}': beneficiary_money.get(f'B{i}', 0) for i in range(1, 11)}
    return final_result

# --- Main Execution ---

if __name__ == "__main__":
    scenarios = [
        ("Scenario A", 5, "result_5.json"),
        ("Scenario B", 50, "result_50.json"),
        ("Scenario C", 100, "result_100.json")
    ]

    for name, amount, filename in scenarios:
        result = run_simulation(amount)

        # The script should just print the JSON content and filename to be captured by the calling environment
        print(f"FILENAME:{filename}")
        print(json.dumps(result, indent=2))
        print("---END_OF_FILE---") # Separator for parsing
```

I will create a Python script to simulate the money distribution process for the three scenarios, generate the results, and then use the `write` tool to create the required JSON files.

## Step 1: Write the simulation script

I will write the simulation logic to `money_distributor.py`. This script will run the three scenarios and print the final JSON output for each, along with a custom delimiter, so I can capture the output and write the final files.

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|  Write    app/input/money_distributor.py
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## Step 2: Execute the simulation script and capture results

I will now execute the Python script. The script is designed to print the results in a structured format so I can easily parse the content for the three required JSON files.

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|  Bash     Executes the money distribution simulation script.

---BEGIN_RESULTS---
FILENAME:result_5.json
{
  "B1": 0,
  "B2": 1,
  "B3": 1,
  "B4": 2,
  "B5": 1,
  "B6": 0,
  "B7": 0,
  "B8": 0,
  "B9": 0,
  "B10": 0
}
---END_OF_FILE---
FILENAME:result_50.json
{
  "B1": 0,
  "B2": 10,
  "B3": 4,
  "B4": 19,
  "B5": 10,
  "B6": 4,
  "B7": 2,
  "B8": 1,
  "B9": 0,
  "B10": 0
}
---END_OF_FILE---
FILENAME:result_100.json
{
  "B1": 0,
  "B2": 19,
  "B3": 9,
  "B4": 37,
  "B5": 20,
  "B6": 10,
  "B7": 3,
  "B8": 1,
  "B9": 1,
  "B10": 0
}
---END_OF_FILE---
---END_RESULTS---

INFO  2026-01-08T15:25:08 +5ms service=bus type=message.updated publishing
INFO  2026-01-08T15:25:08 +0ms service=bus type=session.status publishing
INFO  2026-01-08T15:25:08 +0ms service=session.prompt step=2 sessionID=ses_461ca2ab5ffeK19iszS8s4I4Um loop
INFO  2026-01-08T15:25:08 +10ms service=bus type=message.updated publishing
INFO  2026-01-08T15:25:08 +1ms service=bus type=session.updated publishing
INFO  2026-01-08T15:25:08 +0ms service=bus type=session.diff publishing
INFO  2026-01-08T15:25:08 +4ms service=bus type=message.updated publishing
INFO  2026-01-08T15:25:08 +0ms service=session.prompt status=started resolveTools
INFO  2026-01-08T15:25:08 +1ms service=tool.registry status=started invalid
INFO  2026-01-08T15:25:08 +0ms service=tool.registry status=started bash
INFO  2026-01-08T15:25:08 +0ms service=bash-tool shell=/usr/bin/bash bash tool using shell
INFO  2026-01-08T15:25:08 +0ms service=tool.registry status=started read
INFO  2026-01-08T15:25:08 +0ms service=tool.registry status=started glob
INFO  2026-01-08T15:25:08 +0ms service=tool.registry status=started grep
INFO  2026-01-08T15:25:08 +0ms service=tool.registry status=started edit
INFO  2026-01-08T15:25:08 +0ms service=tool.registry status=started write
INFO  2026-01-08T15:25:08 +0ms service=tool.registry status=started task
INFO  2026-01-08T15:25:08 +0ms service=tool.registry status=started webfetch
INFO  2026-01-08T15:25:08 +0ms service=tool.registry status=started todowrite
INFO  2026-01-08T15:25:08 +0ms service=tool.registry status=started todoread
INFO  2026-01-08T15:25:08 +0ms service=tool.registry status=started skill
INFO  2026-01-08T15:25:08 +1ms service=tool.registry status=completed duration=1 invalid
INFO  2026-01-08T15:25:08 +0ms service=tool.registry status=completed duration=1 read
INFO  2026-01-08T15:25:08 +0ms service=tool.registry status=completed duration=1 glob
INFO  2026-01-08T15:25:08 +0ms service=tool.registry status=completed duration=1 grep
INFO  2026-01-08T15:25:08 +0ms service=tool.registry status=completed duration=1 edit
INFO  2026-01-08T15:25:08 +0ms service=tool.registry status=completed duration=1 write
INFO  2026-01-08T15:25:08 +0ms service=tool.registry status=completed duration=1 webfetch
INFO  2026-01-08T15:25:08 +0ms service=tool.registry status=completed duration=1 todowrite
INFO  2026-01-08T15:25:08 +0ms service=tool.registry status=completed duration=1 todoread
INFO  2026-01-08T15:25:08 +0ms service=tool.registry status=completed duration=1 bash
INFO  2026-01-08T15:25:08 +0ms service=tool.registry status=completed duration=1 skill
INFO  2026-01-08T15:25:08 +0ms service=tool.registry status=completed duration=1 task
INFO  2026-01-08T15:25:08 +3ms service=session.prompt status=completed duration=5 resolveTools
INFO  2026-01-08T15:25:08 +9ms service=session.processor process
INFO  2026-01-08T15:25:08 +0ms service=llm providerID=openrouter modelID=google/gemini-2.5-flash-preview-09-2025 sessionID=ses_461ca2ab5ffeK19iszS8s4I4Um small=false agent=build stream
INFO  2026-01-08T15:25:08 +1ms service=llm providerID=openrouter modelID=google/gemini-2.5-flash-preview-09-2025 sessionID=ses_461ca2ab5ffeK19iszS8s4I4Um small=false agent=build params={"temperature":1,"topP":0.95,"topK":64,"options":{}} params
INFO  2026-01-08T15:25:08 +6ms service=bus type=session.status publishing
INFO  2026-01-08T15:25:09 +639ms service=bus type=message.part.updated publishing
INFO  2026-01-08T15:25:09 +1ms service=bus type=message.part.updated publishing
INFO  2026-01-08T15:25:09 +17ms service=bus type=message.part.updated publishing
INFO  2026-01-08T15:25:09 +22ms service=bus type=message.part.updated publishing
INFO  2026-01-08T15:25:09 +44ms service=bus type=message.part.updated publishing
ERROR 2026-01-08T15:25:09 +0ms service=acp-command promise={} reason=NotFoundError Unhandled rejection
ERROR 2026-01-08T15:25:09 +0ms service=default e=NotFoundError rejection
INFO  2026-01-08T15:25:09 +81ms service=bus type=message.part.updated publishing
INFO  2026-01-08T15:25:09 +121ms service=bus type=message.part.updated publishing
INFO  2026-01-08T15:25:09 +118ms service=bus type=message.part.updated publishing
INFO  2026-01-08T15:25:10 +158ms service=bus type=message.part.updated publishing
INFO  2026-01-08T15:25:10 +163ms service=bus type=message.part.updated publishing
INFO  2026-01-08T15:25:10 +175ms service=bus type=message.part.updated publishing
INFO  2026-01-08T15:25:10 +25ms service=bus type=message.part.updated publishing
ERROR 2026-01-08T15:25:10 +160ms service=acp-command promise={} reason=NotFoundError Unhandled rejection
ERROR 2026-01-08T15:25:10 +1ms service=default e=NotFoundError rejection
INFO  2026-01-08T15:25:10 +167ms service=bus type=message.part.updated publishing
INFO  2026-01-08T15:25:10 +1ms service=bus type=file.edited publishing
INFO  2026-01-08T15:25:10 +0ms service=format file=/app/input/result_5.json formatting
INFO  2026-01-08T15:25:10 +0ms service=format name=zig ext=.json checking
INFO  2026-01-08T15:25:10 +0ms service=format name=uv format ext=.json checking
INFO  2026-01-08T15:25:10 +0ms service=format name=terraform ext=.json checking
INFO  2026-01-08T15:25:10 +0ms service=format name=standardrb ext=.json checking
INFO  2026-01-08T15:25:10 +0ms service=format name=shfmt ext=.json checking
INFO  2026-01-08T15:25:10 +0ms service=format name=ruff ext=.json checking
INFO  2026-01-08T15:25:10 +0ms service=format name=rubocop ext=.json checking
INFO  2026-01-08T15:25:10 +0ms service=format name=air ext=.json checking
INFO  2026-01-08T15:25:10 +0ms service=format name=prettier ext=.json checking
INFO  2026-01-08T15:25:10 +1ms service=bus type=message.part.updated publishing
INFO  2026-01-08T15:25:10 +3ms service=format name=oxfmt ext=.json checking
INFO  2026-01-08T15:25:10 +1ms service=format name=ocamlformat ext=.json checking
INFO  2026-01-08T15:25:10 +0ms service=format name=nixfmt ext=.json checking
INFO  2026-01-08T15:25:10 +0ms service=format name=mix ext=.json checking
INFO  2026-01-08T15:25:10 +0ms service=format name=latexindent ext=.json checking
INFO  2026-01-08T15:25:10 +0ms service=format name=ktlint ext=.json checking
INFO  2026-01-08T15:25:10 +0ms service=format name=htmlbeautifier ext=.json checking
INFO  2026-01-08T15:25:10 +0ms service=format name=gofmt ext=.json checking
INFO  2026-01-08T15:25:10 +0ms service=format name=gleam ext=.json checking
INFO  2026-01-08T15:25:10 +1ms service=format name=dart ext=.json checking
INFO  2026-01-08T15:25:10 +0ms service=format name=clang-format ext=.json checking
INFO  2026-01-08T15:25:10 +0ms service=format name=biome ext=.json checking
INFO  2026-01-08T15:25:10 +1ms service=file.time sessionID=ses_461ca2ab5ffeK19iszS8s4I4Um file=/app/input/result_5.json read
INFO  2026-01-08T15:25:10 +0ms service=lsp file=/app/input/result_5.json touching file
INFO  2026-01-08T15:25:10 +2ms service=bus type=message.part.updated publishing
|  Write    app/input/result_5.json
INFO  2026-01-08T15:25:11 +291ms service=bus type=message.part.updated publishing
INFO  2026-01-08T15:25:11 +1ms service=bus type=file.edited publishing
INFO  2026-01-08T15:25:11 +0ms service=format file=/app/input/result_50.json formatting
INFO  2026-01-08T15:25:11 +0ms service=format name=zig ext=.json checking
INFO  2026-01-08T15:25:11 +0ms service=format name=uv format ext=.json checking
INFO  2026-01-08T15:25:11 +0ms service=format name=terraform ext=.json checking
INFO  2026-01-08T15:25:11 +0ms service=format name=standardrb ext=.json checking
INFO  2026-01-08T15:25:11 +0ms service=format name=shfmt ext=.json checking
INFO  2026-01-08T15:25:11 +0ms service=format name=ruff ext=.json checking
INFO  2026-01-08T15:25:11 +0ms service=format name=rubocop ext=.json checking
INFO  2026-01-08T15:25:11 +0ms service=format name=air ext=.json checking
INFO  2026-01-08T15:25:11 +0ms service=format name=prettier ext=.json checking
INFO  2026-01-08T15:25:11 +0ms service=format name=oxfmt ext=.json checking
INFO  2026-01-08T15:25:11 +0ms service=format name=ocamlformat ext=.json checking
INFO  2026-01-08T15:25:11 +0ms service=format name=nixfmt ext=.json checking
INFO  2026-01-08T15:25:11 +0ms service=format name=mix ext=.json checking
INFO  2026-01-08T15:25:11 +0ms service=format name=latexindent ext=.json checking
INFO  2026-01-08T15:25:11 +0ms service=format name=ktlint ext=.json checking
INFO  2026-01-08T15:25:11 +0ms service=format name=htmlbeautifier ext=.json checking
INFO  2026-01-08T15:25:11 +0ms service=format name=gofmt ext=.json checking
INFO  2026-01-08T15:25:11 +0ms service=format name=gleam ext=.json checking
INFO  2026-01-08T15:25:11 +0ms service=format name=dart ext=.json checking
INFO  2026-01-08T15:25:11 +0ms service=format name=clang-format ext=.json checking
INFO  2026-01-08T15:25:11 +0ms service=format name=biome ext=.json checking
INFO  2026-01-08T15:25:11 +0ms service=file.time sessionID=ses_461ca2ab5ffeK19iszS8s4I4Um file=/app/input/result_50.json read
INFO  2026-01-08T15:25:11 +0ms service=lsp file=/app/input/result_50.json touching file
INFO  2026-01-08T15:25:11 +1ms service=bus type=message.part.updated publishing
INFO  2026-01-08T15:25:11 +2ms service=bus type=message.part.updated publishing
|  Write    app/input/result_50.json
INFO  2026-01-08T15:25:11 +348ms service=bus type=message.part.updated publishing
INFO  2026-01-08T15:25:11 +0ms service=bus type=file.edited publishing
INFO  2026-01-08T15:25:11 +0ms service=format file=/app/input/result_100.json formatting
INFO  2026-01-08T15:25:11 +1ms service=format name=zig ext=.json checking
INFO  2026-01-08T15:25:11 +0ms service=format name=uv format ext=.json checking
INFO  2026-01-08T15:25:11 +0ms service=format name=terraform ext=.json checking
INFO  2026-01-08T15:25:11 +0ms service=format name=standardrb ext=.json checking
INFO  2026-01-08T15:25:11 +0ms service=format name=shfmt ext=.json checking
INFO  2026-01-08T15:25:11 +0ms service=format name=ruff ext=.json checking
INFO  2026-01-08T15:25:11 +0ms service=format name=rubocop ext=.json checking
INFO  2026-01-08T15:25:11 +0ms service=format name=air ext=.json checking
INFO  2026-01-08T15:25:11 +0ms service=format name=prettier ext=.json checking
INFO  2026-01-08T15:25:11 +0ms service=format name=oxfmt ext=.json checking
INFO  2026-01-08T15:25:11 +0ms service=format name=ocamlformat ext=.json checking
INFO  2026-01-08T15:25:11 +0ms service=format name=nixfmt ext=.json checking
INFO  2026-01-08T15:25:11 +0ms service=format name=mix ext=.json checking
INFO  2026-01-08T15:25:11 +0ms service=format name=latexindent ext=.json checking
INFO  2026-01-08T15:25:11 +0ms service=format name=ktlint ext=.json checking
INFO  2026-01-08T15:25:11 +0ms service=format name=htmlbeautifier ext=.json checking
INFO  2026-01-08T15:25:11 +0ms service=format name=gofmt ext=.json checking
INFO  2026-01-08T15:25:11 +0ms service=format name=gleam ext=.json checking
INFO  2026-01-08T15:25:11 +0ms service=format name=dart ext=.json checking
INFO  2026-01-08T15:25:11 +0ms service=format name=clang-format ext=.json checking
INFO  2026-01-08T15:25:11 +0ms service=format name=biome ext=.json checking
INFO  2026-01-08T15:25:11 +0ms service=file.time sessionID=ses_461ca2ab5ffeK19iszS8s4I4Um file=/app/input/result_100.json read
INFO  2026-01-08T15:25:11 +0ms service=lsp file=/app/input/result_100.json touching file
INFO  2026-01-08T15:25:11 +1ms service=bus type=message.part.updated publishing
INFO  2026-01-08T15:25:11 +3ms service=bus type=message.part.updated publishing
|  Write    app/input/result_100.json
INFO  2026-01-08T15:25:11 +13ms service=bus type=message.part.updated publishing
INFO  2026-01-08T15:25:11 +2ms service=bus type=message.part.updated publishing
INFO  2026-01-08T15:25:11 +0ms service=bus type=message.updated publishing

I have run the simulation and obtained the results for the three scenarios.

**Scenario A (5 cents) -> `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 (50 cents) -> `result_50.json`:**
```json
{
  "B1": 0,
  "B2": 10,
  "B3": 4,
  "B4": 19,
  "B5": 10,
  "B6": 4,
  "B7": 2,
  "B8": 1,
  "B9": 0,
  "B10": 0
}
```

**Scenario C (100 cents) -> `result_100.json`:**
```json
{
  "B1": 0,
  "B2": 19,
  "B3": 9,
  "B4": 37,
  "B5": 20,
  "B6": 10,
  "B7": 3,
  "B8": 1,
  "B9": 1,
  "B10": 0
}
```

## Step 3: Create the required JSON files

I will now use the `write` tool to create the three JSON files with the computed contents.

INFO  2026-01-08T15:25:11 +10ms service=bus type=message.updated publishing
INFO  2026-01-08T15:25:11 +0ms service=bus type=session.status publishing
INFO  2026-01-08T15:25:11 +0ms service=session.prompt step=3 sessionID=ses_461ca2ab5ffeK19iszS8s4I4Um loop
INFO  2026-01-08T15:25:11 +6ms service=bus type=message.updated publishing
INFO  2026-01-08T15:25:11 +1ms service=bus type=session.updated publishing
INFO  2026-01-08T15:25:11 +1ms service=bus type=session.diff publishing
INFO  2026-01-08T15:25:11 +7ms service=bus type=message.updated publishing
INFO  2026-01-08T15:25:11 +1ms service=session.prompt status=started resolveTools
INFO  2026-01-08T15:25:11 +0ms service=tool.registry status=started invalid
INFO  2026-01-08T15:25:11 +0ms service=tool.registry status=started bash
INFO  2026-01-08T15:25:11 +0ms service=bash-tool shell=/usr/bin/bash bash tool using shell
INFO  2026-01-08T15:25:11 +1ms service=tool.registry status=started read
INFO  2026-01-08T15:25:11 +0ms service=tool.registry status=started glob
INFO  2026-01-08T15:25:11 +0ms service=tool.registry status=started grep
INFO  2026-01-08T15:25:11 +0ms service=tool.registry status=started edit
INFO  2026-01-08T15:25:11 +0ms service=tool.registry status=started write
INFO  2026-01-08T15:25:11 +0ms service=tool.registry status=started task
INFO  2026-01-08T15:25:11 +0ms service=tool.registry status=started webfetch
INFO  2026-01-08T15:25:11 +0ms service=tool.registry status=started todowrite
INFO  2026-01-08T15:25:11 +0ms service=tool.registry status=started todoread
INFO  2026-01-08T15:25:11 +0ms service=tool.registry status=started skill
INFO  2026-01-08T15:25:11 +0ms service=tool.registry status=completed duration=1 invalid
INFO  2026-01-08T15:25:11 +0ms service=tool.registry status=completed duration=0 read
INFO  2026-01-08T15:25:11 +1ms service=tool.registry status=completed duration=0 glob
INFO  2026-01-08T15:25:11 +0ms service=tool.registry status=completed duration=1 grep
INFO  2026-01-08T15:25:11 +0ms service=tool.registry status=completed duration=1 edit
INFO  2026-01-08T15:25:11 +0ms service=tool.registry status=completed duration=1 write
INFO  2026-01-08T15:25:11 +0ms service=tool.registry status=completed duration=1 webfetch
INFO  2026-01-08T15:25:11 +0ms service=tool.registry status=completed duration=1 todowrite
INFO  2026-01-08T15:25:11 +0ms service=tool.registry status=completed duration=1 todoread
INFO  2026-01-08T15:25:11 +0ms service=tool.registry status=completed duration=2 bash
INFO  2026-01-08T15:25:11 +0ms service=tool.registry status=completed duration=1 skill
INFO  2026-01-08T15:25:11 +0ms service=tool.registry status=completed duration=1 task
INFO  2026-01-08T15:25:11 +2ms service=session.prompt status=completed duration=4 resolveTools
INFO  2026-01-08T15:25:11 +3ms service=session.processor process
INFO  2026-01-08T15:25:11 +0ms service=llm providerID=openrouter modelID=google/gemini-2.5-flash-preview-09-2025 sessionID=ses_461ca2ab5ffeK19iszS8s4I4Um small=false agent=build stream
INFO  2026-01-08T15:25:11 +0ms service=llm providerID=openrouter modelID=google/gemini-2.5-flash-preview-09-2025 sessionID=ses_461ca2ab5ffeK19iszS8s4I4Um small=false agent=build params={"temperature":1,"topP":0.95,"topK":64,"options":{}} params
INFO  2026-01-08T15:25:11 +6ms service=bus type=session.status publishing
ERROR 2026-01-08T15:25:11 +291ms service=acp-command promise={} reason=NotFoundError Unhandled rejection
ERROR 2026-01-08T15:25:11 +0ms service=default e=NotFoundError rejection
INFO  2026-01-08T15:25:12 +284ms service=bus type=message.part.updated publishing
INFO  2026-01-08T15:25:12 +0ms service=bus type=message.part.updated publishing
INFO  2026-01-08T15:25:12 +53ms service=bus type=message.part.updated publishing
INFO  2026-01-08T15:25:12 +56ms service=bus type=message.part.updated publishing
INFO  2026-01-08T15:25:12 +20ms service=bus type=message.part.updated publishing
INFO  2026-01-08T15:25:12 +35ms service=bus type=message.part.updated publishing
INFO  2026-01-08T15:25:12 +2ms service=bus type=message.part.updated publishing
INFO  2026-01-08T15:25:12 +0ms service=bus type=message.updated publishing

The final money distribution results have been computed for all three scenarios and written to the required JSON files: `result_5.json`, `result_50.json`, and `result_100.json`.

INFO  2026-01-08T15:25:12 +3ms service=bus type=message.updated publishing
INFO  2026-01-08T15:25:12 +0ms service=bus type=session.status publishing
INFO  2026-01-08T15:25:12 +0ms service=session.prompt step=4 sessionID=ses_461ca2ab5ffeK19iszS8s4I4Um loop
INFO  2026-01-08T15:25:12 +16ms service=bus type=message.updated publishing
INFO  2026-01-08T15:25:12 +1ms service=bus type=message.updated publishing
INFO  2026-01-08T15:25:12 +1ms service=bus type=session.updated publishing
INFO  2026-01-08T15:25:12 +1ms service=bus type=session.diff publishing
INFO  2026-01-08T15:25:12 +1ms service=session.prompt sessionID=ses_461ca2ab5ffeK19iszS8s4I4Um exiting loop
INFO  2026-01-08T15:25:12 +1ms service=session.compaction pruning
INFO  2026-01-08T15:25:12 +2ms service=session.prompt sessionID=ses_461ca2ab5ffeK19iszS8s4I4Um cancel
INFO  2026-01-08T15:25:12 +0ms service=bus type=session.status publishing
INFO  2026-01-08T15:25:12 +0ms service=bus type=session.idle publishing
INFO  2026-01-08T15:25:12 +10ms service=default directory=/app/input disposing instance
INFO  2026-01-08T15:25:12 +0ms service=state key=/app/input waiting for state disposal to complete
INFO  2026-01-08T15:25:12 +1ms service=lsp.client serverID=pyright shutting down
INFO  2026-01-08T15:25:12 +3ms service=lsp.client serverID=pyright shutdown
INFO  2026-01-08T15:25:12 +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.