/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_20251218_150015/task14_graph_money_distribution/openrouter-google-gemini-2.5-flash-preview-09-2025/workspace to /app
No project_name provided - skipping configuration directory setup.
Session created successfully!
Session ID: 3c925076
Image: opencode
Executing command and waiting for completion...
Container will exit after command completes.
Command logs:
Initializing opencode v1.0.0
Setting up user 'cubbi' with UID: 1000, GID: 1000
Setting up standard directories
Created directory: /app
Created directory: /cubbi-config
Created directory: /cubbi-config/home
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Created directory: /cubbi-config/home/.local
Copied /root/.local/bin to user directory
Running opencode-specific initialization
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Set default model to openrouter/google/gemini-2.5-flash-preview-09-2025
Updated OpenCode configuration at /home/cubbi/.config/opencode/config.json with 2 providers
No MCP servers to integrate
--- Executing initial command ---
Executing user command:
    if [ -f install.sh ]; then bash install.sh; fi;
    echo "--- TASK BEGIN ---"; cat task.md; echo "--- TASK END ---";
    cd input && opencode run --print-logs < ../task.md

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

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

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

## Graph Structure

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

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

## Initial Conditions

Solve for **three scenarios**:

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

## Distribution Rules

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

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

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

## Recursion

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

## Termination

Process ends when no CONDUCTOR holds positive money.

## Your Task

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

## Required Output

Create three files:

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

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

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

PS: You are currently working in an automated system and cannot ask any question or have back and forth with a user.
--- TASK END ---
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INFO  2025-12-18T16:04:02 +425ms service=bun code=0 stdout=bun add v1.3.4 (5eb2145b)

+ opencode-copilot-auth@0.0.9

installed opencode-anthropic-auth@0.0.5

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This is a complex, deterministic simulation problem. I will implement a simulation in Python to accurately model the money distribution process based on the provided graph structure, rules, and scenarios.

First, I will outline the plan.

### Plan

1.  **Define Graph Structure**: Represent the CONDUCTOR nodes and their directed edges, as well as the one-to-one mapping to BENEFICIARY nodes.
2.  **Implement Distribution Logic**: Create a function that handles the "Split Rule" (equal division, tie-break order) for a given CONDUCTOR and amount, updating the money held by the receiving nodes.
3.  **Implement Simulation Loop**: Create a loop that continues until no CONDUCTOR has a positive amount of money. The loop will process the distribution of money from one CONDUCTOR at a time.
4.  **Run Scenarios**: Run the simulation for the initial amounts of 5, 50, and 100 cents (Scenarios A, B, and C).
5.  **Output Results**: Format the final BENEFICIARY money distribution into the required JSON files: `result_5.json`, `result_50.json`, and `result_100.json`.

### Step 1 & 2: Define Graph and Distribution Logic (Python)

I'll use a Python script named `distribution_simulation.py` to hold the logic.

The graph structure:
- C1 -> [B1, C2]
- C2 -> [B2, C3]
- C3 -> [B3, C4]
- C4 -> [B4, C2, C5]
- C5 -> [B5, C6]
- C6 -> [B6, C7]
- C7 -> [B7, C5, C8]
- C8 -> [B8, C9]
- C9 -> [B9, C10]
- C10 -> [B10, C6]

The order of participants for tie-breaking is crucial: BENEFICIARY first, then CONDUCTORs alphabetically.

```python
import json
from collections import defaultdict

# 1. Define Graph Structure and Distribution Order
GRAPH = {
    "C1": ["B1", "C2"],
    "C2": ["B2", "C3"],
    "C3": ["B3", "C4"],
    "C4": ["B4", "C2", "C5"],
    "C5": ["B5", "C6"],
    "C6": ["B6", "C7"],
    "C7": ["B7", "C5", "C8"],
    "C8": ["B8", "C9"],
    "C9": ["B9", "C10"],
    "C10": ["B10", "C6"],
}

CONDUCTORS = [f"C{i}" for i in range(1, 11)]
BENEFICIARIES = [f"B{i}" for i in range(1, 11)]

def get_recipients(conductor_id):
    """Returns the ordered list of recipients based on the tie-break rule."""
    recipients = GRAPH[conductor_id]

    # Separate Beneficiary (always the first element in GRAPH definition)
    beneficiary = recipients[0]

    # Separate Conductors
    conductors = recipients[1:]

    # Order: Beneficiary first, then Conductors alphabetically
    ordered_conductors = sorted(conductors)

    return [beneficiary] + ordered_conductors

def distribute_money(conductor_id, amount, conductor_money, beneficiary_money):
    """
    Distributes N cents from a CONDUCTOR based on the Split Rule and Tie-break Order.
    Returns True if any money was distributed, False otherwise.
    """
    if amount <= 0:
        return False

    recipients = get_recipients(conductor_id)
    num_recipients = len(recipients)

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

    distributed = share * num_recipients + remainder
    if distributed != amount:
        raise ValueError("Distribution calculation error")

    # Clear money from the distributing conductor (all or nothing)
    conductor_money[conductor_id] = 0

    # 2. Add base share
    for recipient in recipients:
        if recipient.startswith('C'):
            conductor_money[recipient] += share
        elif recipient.startswith('B'):
            beneficiary_money[recipient] += share

    # 3. 4. Remaining cents (from integer division) are distributed one by one
    #    Tie-break order is already encoded in the `recipients` list order.
    for i in range(remainder):
        tie_break_recipient = recipients[i]

        if tie_break_recipient.startswith('C'):
            conductor_money[tie_break_recipient] += 1
        elif tie_break_recipient.startswith('B'):
            beneficiary_money[tie_break_recipient] += 1

    return True

def run_simulation(initial_amount, initial_conductor="C4"):
    """Runs the simulation until all CONDUCTORs have 0 money."""
    conductor_money = defaultdict(int)
    beneficiary_money = defaultdict(int)

    # Initial condition
    conductor_money[initial_conductor] = initial_amount

    # Queue for active conductors that need to distribute money
    # Use a set to track which conductors are currently holding money > 0
    active_conductors = {initial_conductor}

    # Simulation loop
    # The order of processing active_conductors matters only for time complexity,
    # but not for the final deterministic result, as all money must eventually move.

    while active_conductors:
        # Pick one conductor to distribute money from
        current_conductor = active_conductors.pop()

        amount = conductor_money[current_conductor]

        # This will distribute the money and set conductor_money[current_conductor] = 0
        if distribute_money(current_conductor, amount, conductor_money, beneficiary_money):
            # Check all recipients for new positive money
            recipients = get_recipients(current_conductor)
            for recipient in recipients:
                if recipient.startswith('C') and conductor_money[recipient] > 0:
                    active_conductors.add(recipient)

    # Format the beneficiary output
    result = {b: beneficiary_money[b] for b in BENEFICIARIES}
    return result

# 4. Run Scenarios and 5. Output Results

scenarios = {
    5: "result_5.json",
    50: "result_50.json",
    100: "result_100.json",
}

simulation_code = """
import json
from collections import defaultdict

# 1. Define Graph Structure and Distribution Order
GRAPH = {
    "C1": ["B1", "C2"],
    "C2": ["B2", "C3"],
    "C3": ["B3", "C4"],
    "C4": ["B4", "C2", "C5"],
    "C5": ["B5", "C6"],
    "C6": ["B6", "C7"],
    "C7": ["B7", "C5", "C8"],
    "C8": ["B8", "C9"],
    "C9": ["B9", "C10"],
    "C10": ["B10", "C6"],
}

CONDUCTORS = [f"C{i}" for i in range(1, 11)]
BENEFICIARIES = [f"B{i}" for i in range(1, 11)]

def get_recipients(conductor_id):
    \"\"\"Returns the ordered list of recipients based on the tie-break rule.\"\"\"
    recipients = GRAPH[conductor_id]

    # Separate Beneficiary (always the first element in GRAPH definition)
    beneficiary = recipients[0]

    # Separate Conductors
    conductors = recipients[1:]

    # Order: Beneficiary first, then Conductors alphabetically (C1 < C2 < ... < C10)
    ordered_conductors = sorted(conductors)

    return [beneficiary] + ordered_conductors

def distribute_money(conductor_id, amount, conductor_money, beneficiary_money):
    \"\"\"
    Distributes N cents from a CONDUCTOR based on the Split Rule and Tie-break Order.
    Returns True if any money was distributed, False otherwise.
    \"\"\"
    if amount <= 0:
        return False

    recipients = get_recipients(conductor_id)
    num_recipients = len(recipients)

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

    # Sanity check
    if share * num_recipients + remainder != amount:
        raise ValueError("Distribution calculation error")

    # Clear money from the distributing conductor (all or nothing)
    conductor_money[conductor_id] = 0

    # 2. Add base share
    for recipient in recipients:
        if recipient.startswith('C'):
            conductor_money[recipient] += share
        elif recipient.startswith('B'):
            beneficiary_money[recipient] += share

    # 3. 4. Remaining cents (from integer division) are distributed one by one
    #    Tie-break order is already encoded in the `recipients` list order.
    for i in range(remainder):
        tie_break_recipient = recipients[i]

        if tie_break_recipient.startswith('C'):
            conductor_money[tie_break_recipient] += 1
        elif tie_break_recipient.startswith('B'):
            beneficiary_money[tie_break_recipient] += 1

    return True

def run_simulation(initial_amount, initial_conductor="C4"):
    \"\"\"Runs the simulation until all CONDUCTORs have 0 money.\"\"\"
    conductor_money = defaultdict(int)
    beneficiary_money = defaultdict(int)

    # Initial condition
    conductor_money[initial_conductor] = initial_amount

    # Queue for active conductors that need to distribute money
    # Use a set to track which conductors are currently holding money > 0
    active_conductors = {initial_conductor}

    # Simulation loop
    while active_conductors:
        # Pick one conductor to distribute money from
        current_conductor = active_conductors.pop()

        amount = conductor_money[current_conductor]

        # This will distribute the money and set conductor_money[current_conductor] = 0
        if distribute_money(current_conductor, amount, conductor_money, beneficiary_money):
            # Check all recipients for new positive money
            recipients = get_recipients(current_conductor)
            for recipient in recipients:
                if recipient.startswith('C') and conductor_money[recipient] > 0:
                    active_conductors.add(recipient)

    # Format the beneficiary output
    result = {b: beneficiary_money[b] for b in sorted(BENEFICIARIES)}
    return result

scenarios = {
    5: "result_5.json",
    50: "result_50.json",
    100: "result_100.json",
}

for amount, filename in scenarios.items():
    final_result = run_simulation(amount)
    with open(filename, 'w') as f:
        json.dump(final_result, f, indent=2)

print("Simulation complete. Files created.")
"""

```

I will now write the Python script and execute it.

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