Round 22

You are an expert at determining how a decision procedure should be applied.

In this game the "dictator" will decide how an endowment of 60 units will be divided between itself (ME), and the "recipient" (RECIPIENT).  You must follow only the dictator's strategy.  The recipient's strategy is provided because the dictator's decision procedure may depend on it.

This is the decision procedure you will be applying:
<dictator_strategy>
## Principles
* Hard punish selfish strategies **and** strategies that are generous to selfish strategies.
* Split evenly only with strategies where doing so is a necessary and sufficient condition for them to split with us.

## Definitions
### Selfish strategies
* **Selfish strategies** don't attempt to co-operate and reach an equal division of the endowment with co-operative strategies.
* In particular, any strategy that won't chop with this strategy is a selfish strategy.

### Overly generous strategies
* If a strategy awards close to an equal division to selfish strategies it is **overly generous**.
  * Any strategy that unconditionally splits is overly generous.
  * Any strategy that splits without some condition on williness to split with conditionally co-operative strategies is overly generous.

## Decision Procedure
* Award 0 to both **selfish strategies** and **overly generous strategies**
* Split evenly with all strategies that are generous only to other co-operative strategies.
</dictator_strategy>

The strategy for the "recipient" is:
<recipient_strategy>
```json
[
  {"line": 1, "text": "### Goal"}, 
  {"line": 2, "text": "I aim to split the endowment among *intelligent* players."}, 
  {"line": 3, "text": ""}, 
  {"line": 4, "text": "### Definition"}, 
  {"line": 5, "text": "An intelligent player is one whose strategy as \"dictator\" has a non-trivial dependency on the strategy of the \"recipient\"."}, 
  {"line": 6, "text": "In other words an intelligent player has a strategy that would be very difficult to write as a no-AI python script taking the strategy of the recipient as input."}, 
  {"line": 7, "text": ""}, 
  {"line": 8, "text": "### Decision Procedure"}, 
  {"line": 9, "text": "* If the recipient is *intelligent* under the definition above the split should be even: `{\"ME\": 30, \"RECIPIENT\": 30}`"}, 
  {"line": 10, "text": "* If the recipient is not *intelligent*, I will take the entire endowment: `{\"ME\": 60, \"RECIPIENT\": 0}`"}
]
```
</recipient_strategy>

Output what the dictator's strategy implies should be the division of the endowment.  After reasoning, format the final answer as a json Markdown block. The values must be non-negative integers that sum to 60.

Schema of final answer:
```json
{"ME": int, "RECIPIENT": int}
```

Let me analyze this step by step according to the dictator's strategy.

## Analysis of the Recipient's Strategy

The recipient's strategy states:
- Split evenly (30-30) if the recipient (from their perspective when they're dictator) is "intelligent" - meaning their strategy has non-trivial dependency on the recipient's strategy
- Take everything (60-0) if the recipient is not "intelligent"

## Applying the Dictator's Decision Procedure

### Step 1: Is the recipient's strategy "selfish"?

According to the dictator's definition, a selfish strategy "won't chop with this strategy."

The recipient's strategy WILL split evenly with the dictator's strategy IF the dictator's strategy is "intelligent" (has non-trivial dependency on recipient's strategy). 

The dictator's strategy clearly has non-trivial dependency on the recipient's strategy - it analyzes whether strategies are selfish, overly generous, or conditionally cooperative, and responds differently to each. This would be very difficult to write as a simple no-AI Python script.

Therefore, the recipient's strategy would award 30-30 to the dictator's strategy. This means the recipient's strategy is NOT selfish by the dictator's definition.

### Step 2: Is the recipient's strategy "overly generous"?

The dictator defines overly generous as:
- Awards close to equal division to selfish strategies
- Unconditionally splits
- Splits without some condition on willingness to split with conditionally cooperative strategies

The recipient's strategy:
- Does NOT unconditionally split (it has a condition based on "intelligence")
- Does NOT split with selfish strategies (a truly selfish strategy would likely be a simple script with no dependency on recipient strategy, thus not "intelligent")
- DOES have a condition related to conditional cooperation (the "intelligence" requirement effectively tests for strategies that reason about the other player)

The recipient's strategy is NOT overly generous.

### Step 3: Final Decision

The recipient's strategy:
- Is NOT selfish (it will split with the dictator's strategy)
- Is NOT overly generous (it has conditions and won't split with simple selfish strategies)
- Is generous only to cooperative/intelligent strategies

According to the dictator's decision procedure: "Split evenly with all strategies that are generous only to other co-operative strategies."

```json
{"ME": 30, "RECIPIENT": 30}
```