def transform(x):
    offsets = (2, -7, 2, -5, 3)
    return x + offsets[x % 5]

Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.

Task:
Repair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.

Visible examples:
[{"input": 0, "output": -2}, {"input": 1, "output": -6}, {"input": 2, "output": 4}, {"input": 3, "output": -2}, {"input": -1, "output": 2}]

Current certified implementation:
```python
def transform(x):
    offsets = (2, -7, -9, -5, 3)
    return x + offsets[x % 5]
```

Sanitized verifier feedback:
passed_count=9
failed_count=6
failed_obligation_ids=["residue_bias.protected.case_000", "residue_bias.protected.case_001", "residue_bias.protected.case_002", "residue_bias.protected.case_006", "residue_bias.protected.case_007", "residue_bias.protected.case_008"]

Produce the next complete implementation.

def transform(x):
    offsets = (2, -7, 1, -5, 3)
    return x + offsets[x % 5]


def transform(x):
    offsets = (2, -7, 2, -5, 3)
    return x + offsets[x % 5]

Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.

Task:
Repair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.

Visible examples:
[{"input": 0, "output": -2}, {"input": 1, "output": -6}, {"input": 2, "output": 4}, {"input": 3, "output": -2}, {"input": -1, "output": 2}]

Current certified implementation:
```python
def transform(x):
    offsets = (2, -7, -9, -5, 3)
    return x + offsets[x % 5]
```

Sanitized verifier feedback:
passed_count=9
failed_count=6
failed_obligation_ids=["residue_bias.protected.case_000", "residue_bias.protected.case_001", "residue_bias.protected.case_002", "residue_bias.protected.case_006", "residue_bias.protected.case_007", "residue_bias.protected.case_008"]

Produce the next complete implementation.

def transform(x):
    offsets = (2, -7, -9, -5, -1)
    return x + offsets[x % 5]


def transform(x):
    offsets = (2, -7, 2, -5, 3)
    return x + offsets[x % 5]

Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.

Task:
Repair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.

Visible examples:
[{"input": 0, "output": -2}, {"input": 1, "output": -6}, {"input": 2, "output": 4}, {"input": 3, "output": -2}, {"input": -1, "output": 2}]

Current certified implementation:
```python
def transform(x):
    offsets = (2, -7, -9, -5, 3)
    return x + offsets[x % 5]
```

Sanitized verifier feedback:
passed_count=9
failed_count=6
failed_obligation_ids=["residue_bias.protected.case_000", "residue_bias.protected.case_001", "residue_bias.protected.case_002", "residue_bias.protected.case_006", "residue_bias.protected.case_007", "residue_bias.protected.case_008"]

Produce the next complete implementation.

def transform(x):
    offsets = (2, -7, 2, -5, 9)
    return x + offsets[x % 5]


def transform(x):
    offsets = (2, -7, 2, -5, 3)
    return x + offsets[x % 5]

Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.

Task:
Repair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.

Visible examples:
[{"input": 0, "output": -2}, {"input": 1, "output": -6}, {"input": 2, "output": 4}, {"input": 3, "output": -2}, {"input": -1, "output": 2}]

Current certified implementation:
```python
def transform(x):
    offsets = (2, -7, -9, -5, 3)
    return x + offsets[x % 5]
```

Sanitized verifier feedback:
passed_count=9
failed_count=6
failed_obligation_ids=["residue_bias.protected.case_000", "residue_bias.protected.case_001", "residue_bias.protected.case_002", "residue_bias.protected.case_006", "residue_bias.protected.case_007", "residue_bias.protected.case_008"]

Produce the next complete implementation.

def transform(x):
    offsets = (-2, -7, 2, -5, 9)
    return x + offsets[x % 5]


def transform(x):
    offsets = (-2, -7, 2, -5, 3)
    return x + offsets[x % 5]

Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.

Task:
Repair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.

Visible examples:
[{"input": 0, "output": -2}, {"input": 1, "output": -6}, {"input": 2, "output": 4}, {"input": 3, "output": -2}, {"input": -1, "output": 2}]

Current certified implementation:
```python
def transform(x):
    offsets = (2, -7, 2, -5, 3)
    return x + offsets[x % 5]
```

Sanitized verifier feedback:
passed_count=12
failed_count=3
failed_obligation_ids=["residue_bias.protected.case_000", "residue_bias.protected.case_001", "residue_bias.protected.case_002"]

Produce the next complete implementation.

def transform(x):
    offsets = (1, -7, 2, -5, 3)
    return x + offsets[x % 5]


def transform(x):
    offsets = (-2, -7, 2, -5, 3)
    return x + offsets[x % 5]

Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.

Task:
Repair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.

Visible examples:
[{"input": 0, "output": -2}, {"input": 1, "output": -6}, {"input": 2, "output": 4}, {"input": 3, "output": -2}, {"input": -1, "output": 2}]

Current certified implementation:
```python
def transform(x):
    offsets = (2, -7, 2, -5, 3)
    return x + offsets[x % 5]
```

Sanitized verifier feedback:
passed_count=12
failed_count=3
failed_obligation_ids=["residue_bias.protected.case_000", "residue_bias.protected.case_001", "residue_bias.protected.case_002"]

Produce the next complete implementation.

def transform(x):
    offsets = (2, -7, -1, -5, 3)
    return x + offsets[x % 5]


def transform(x):
    offsets = (-2, -7, 2, -5, 3)
    return x + offsets[x % 5]

Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.

Task:
Repair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.

Visible examples:
[{"input": 0, "output": -2}, {"input": 1, "output": -6}, {"input": 2, "output": 4}, {"input": 3, "output": -2}, {"input": -1, "output": 2}]

Current certified implementation:
```python
def transform(x):
    offsets = (2, -7, 2, -5, 3)
    return x + offsets[x % 5]
```

Sanitized verifier feedback:
passed_count=12
failed_count=3
failed_obligation_ids=["residue_bias.protected.case_000", "residue_bias.protected.case_001", "residue_bias.protected.case_002"]

Produce the next complete implementation.

def transform(x):
    offsets = (-2, -7, -6, -5, 3)
    return x + offsets[x % 5]


def transform(x):
    masks = (10, 4, 11, 1)
    return x ^ masks[x & 3]

Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.

Task:
Repair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.

Visible examples:
[{"input": 0, "output": 9}, {"input": 1, "output": 5}, {"input": 2, "output": 9}, {"input": 3, "output": 0}]

Current certified implementation:
```python
def transform(x):
    masks = (10, 4, 7, 1)
    return x ^ masks[x & 3]
```

Sanitized verifier feedback:
passed_count=3
failed_count=9
failed_obligation_ids=["xor_mask.protected.case_000", "xor_mask.protected.case_001", "xor_mask.protected.case_002", "xor_mask.protected.case_006", "xor_mask.protected.case_007", "xor_mask.protected.case_008", "xor_mask.protected.case_009", "xor_mask.protected.case_010", "xor_mask.protected.case_011"]

Produce the next complete implementation.

def transform(x):
    masks = (10, 4, 3, 1)
    return x ^ masks[x & 3]


def transform(x):
    masks = (10, 4, 11, 1)
    return x ^ masks[x & 3]

Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.

Task:
Repair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.

Visible examples:
[{"input": 0, "output": 9}, {"input": 1, "output": 5}, {"input": 2, "output": 9}, {"input": 3, "output": 0}]

Current certified implementation:
```python
def transform(x):
    masks = (10, 4, 7, 1)
    return x ^ masks[x & 3]
```

Sanitized verifier feedback:
passed_count=3
failed_count=9
failed_obligation_ids=["xor_mask.protected.case_000", "xor_mask.protected.case_001", "xor_mask.protected.case_002", "xor_mask.protected.case_006", "xor_mask.protected.case_007", "xor_mask.protected.case_008", "xor_mask.protected.case_009", "xor_mask.protected.case_010", "xor_mask.protected.case_011"]

Produce the next complete implementation.

def transform(x):
    masks = (10, 3, 7, 1)
    return x ^ masks[x & 3]


def transform(x):
    masks = (10, 4, 11, 1)
    return x ^ masks[x & 3]

Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.

Task:
Repair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.

Visible examples:
[{"input": 0, "output": 9}, {"input": 1, "output": 5}, {"input": 2, "output": 9}, {"input": 3, "output": 0}]

Current certified implementation:
```python
def transform(x):
    masks = (10, 4, 7, 1)
    return x ^ masks[x & 3]
```

Sanitized verifier feedback:
passed_count=3
failed_count=9
failed_obligation_ids=["xor_mask.protected.case_000", "xor_mask.protected.case_001", "xor_mask.protected.case_002", "xor_mask.protected.case_006", "xor_mask.protected.case_007", "xor_mask.protected.case_008", "xor_mask.protected.case_009", "xor_mask.protected.case_010", "xor_mask.protected.case_011"]

Produce the next complete implementation.

def transform(x):
    masks = (10, 5, 11, 1)
    return x ^ masks[x & 3]


def transform(x):
    masks = (10, 4, 11, 1)
    return x ^ masks[x & 3]

Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.

Task:
Repair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.

Visible examples:
[{"input": 0, "output": 9}, {"input": 1, "output": 5}, {"input": 2, "output": 9}, {"input": 3, "output": 0}]

Current certified implementation:
```python
def transform(x):
    masks = (10, 4, 7, 1)
    return x ^ masks[x & 3]
```

Sanitized verifier feedback:
passed_count=3
failed_count=9
failed_obligation_ids=["xor_mask.protected.case_000", "xor_mask.protected.case_001", "xor_mask.protected.case_002", "xor_mask.protected.case_006", "xor_mask.protected.case_007", "xor_mask.protected.case_008", "xor_mask.protected.case_009", "xor_mask.protected.case_010", "xor_mask.protected.case_011"]

Produce the next complete implementation.

def transform(x):
    masks = (9, 7, 11, 1)
    return x ^ masks[x & 3]


def transform(x):
    masks = (9, 4, 11, 1)
    return x ^ masks[x & 3]

Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.

Task:
Repair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.

Visible examples:
[{"input": 0, "output": 9}, {"input": 1, "output": 5}, {"input": 2, "output": 9}, {"input": 3, "output": 0}]

Current certified implementation:
```python
def transform(x):
    masks = (10, 4, 11, 1)
    return x ^ masks[x & 3]
```

Sanitized verifier feedback:
passed_count=6
failed_count=6
failed_obligation_ids=["xor_mask.protected.case_000", "xor_mask.protected.case_001", "xor_mask.protected.case_002", "xor_mask.protected.case_009", "xor_mask.protected.case_010", "xor_mask.protected.case_011"]

Produce the next complete implementation.

def transform(x):
    masks = (12, 4, 11, 1)
    return x ^ masks[x & 3]


def transform(x):
    masks = (9, 4, 11, 1)
    return x ^ masks[x & 3]

Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.

Task:
Repair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.

Visible examples:
[{"input": 0, "output": 9}, {"input": 1, "output": 5}, {"input": 2, "output": 9}, {"input": 3, "output": 0}]

Current certified implementation:
```python
def transform(x):
    masks = (10, 4, 11, 1)
    return x ^ masks[x & 3]
```

Sanitized verifier feedback:
passed_count=6
failed_count=6
failed_obligation_ids=["xor_mask.protected.case_000", "xor_mask.protected.case_001", "xor_mask.protected.case_002", "xor_mask.protected.case_009", "xor_mask.protected.case_010", "xor_mask.protected.case_011"]

Produce the next complete implementation.

def transform(x):
    masks = (10, 10, 11, 1)
    return x ^ masks[x & 3]


def transform(x):
    masks = (9, 4, 11, 1)
    return x ^ masks[x & 3]

Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.

Task:
Repair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.

Visible examples:
[{"input": 0, "output": 9}, {"input": 1, "output": 5}, {"input": 2, "output": 9}, {"input": 3, "output": 0}]

Current certified implementation:
```python
def transform(x):
    masks = (10, 4, 11, 1)
    return x ^ masks[x & 3]
```

Sanitized verifier feedback:
passed_count=6
failed_count=6
failed_obligation_ids=["xor_mask.protected.case_000", "xor_mask.protected.case_001", "xor_mask.protected.case_002", "xor_mask.protected.case_009", "xor_mask.protected.case_010", "xor_mask.protected.case_011"]

Produce the next complete implementation.

def transform(x):
    masks = (9, 1, 11, 1)
    return x ^ masks[x & 3]


def transform(x):
    masks = (9, 4, 11, 1)
    return x ^ masks[x & 3]

Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.

Task:
Repair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.

Visible examples:
[{"input": 0, "output": 9}, {"input": 1, "output": 5}, {"input": 2, "output": 9}, {"input": 3, "output": 0}]

Current certified implementation:
```python
def transform(x):
    masks = (10, 4, 11, 1)
    return x ^ masks[x & 3]
```

Sanitized verifier feedback:
passed_count=6
failed_count=6
failed_obligation_ids=["xor_mask.protected.case_000", "xor_mask.protected.case_001", "xor_mask.protected.case_002", "xor_mask.protected.case_009", "xor_mask.protected.case_010", "xor_mask.protected.case_011"]

Produce the next complete implementation.

def transform(x):
    masks = (9, 13, 11, 3)
    return x ^ masks[x & 3]


def transform(x):
    masks = (9, 4, 11, 3)
    return x ^ masks[x & 3]

Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.

Task:
Repair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.

Visible examples:
[{"input": 0, "output": 9}, {"input": 1, "output": 5}, {"input": 2, "output": 9}, {"input": 3, "output": 0}]

Current certified implementation:
```python
def transform(x):
    masks = (9, 4, 11, 1)
    return x ^ masks[x & 3]
```

Sanitized verifier feedback:
passed_count=9
failed_count=3
failed_obligation_ids=["xor_mask.protected.case_009", "xor_mask.protected.case_010", "xor_mask.protected.case_011"]

Produce the next complete implementation.

def transform(x):
    masks = (9, 4, 11, 11)
    return x ^ masks[x & 3]


def transform(x):
    masks = (9, 4, 11, 3)
    return x ^ masks[x & 3]

Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.

Task:
Repair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.

Visible examples:
[{"input": 0, "output": 9}, {"input": 1, "output": 5}, {"input": 2, "output": 9}, {"input": 3, "output": 0}]

Current certified implementation:
```python
def transform(x):
    masks = (9, 4, 11, 1)
    return x ^ masks[x & 3]
```

Sanitized verifier feedback:
passed_count=9
failed_count=3
failed_obligation_ids=["xor_mask.protected.case_009", "xor_mask.protected.case_010", "xor_mask.protected.case_011"]

Produce the next complete implementation.

def transform(x):
    masks = (10, 4, 11, 1)
    return x ^ masks[x & 3]


def transform(x):
    masks = (9, 4, 11, 3)
    return x ^ masks[x & 3]

Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.

Task:
Repair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.

Visible examples:
[{"input": 0, "output": 9}, {"input": 1, "output": 5}, {"input": 2, "output": 9}, {"input": 3, "output": 0}]

Current certified implementation:
```python
def transform(x):
    masks = (9, 4, 11, 1)
    return x ^ masks[x & 3]
```

Sanitized verifier feedback:
passed_count=9
failed_count=3
failed_obligation_ids=["xor_mask.protected.case_009", "xor_mask.protected.case_010", "xor_mask.protected.case_011"]

Produce the next complete implementation.

def transform(x):
    masks = (5, 4, 11, 3)
    return x ^ masks[x & 3]


def transform(x):
    delta = (-7, -1, 1, 3, 3, 4)
    return x + delta[abs(x) % 6]

Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.

Task:
Repair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.

Visible examples:
[{"input": 0, "output": -6}, {"input": 1, "output": 0}, {"input": 2, "output": -5}, {"input": 3, "output": 6}, {"input": 4, "output": 7}, {"input": 5, "output": 9}]

Current certified implementation:
```python
def transform(x):
    delta = (-7, -1, 1, -1, 3, 4)
    return x + delta[abs(x) % 6]
```

Sanitized verifier feedback:
passed_count=9
failed_count=9
failed_obligation_ids=["lookup_delta.protected.case_000", "lookup_delta.protected.case_001", "lookup_delta.protected.case_002", "lookup_delta.protected.case_006", "lookup_delta.protected.case_007", "lookup_delta.protected.case_008", "lookup_delta.protected.case_009", "lookup_delta.protected.case_010", "lookup_delta.protected.case_011"]

Produce the next complete implementation.

def transform(x):
    delta = (-7, -1, 1, -3, 3, 4)
    return x + delta[abs(x) % 6]


def transform(x):
    delta = (-7, -1, 1, 3, 3, 4)
    return x + delta[abs(x) % 6]

Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.

Task:
Repair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.

Visible examples:
[{"input": 0, "output": -6}, {"input": 1, "output": 0}, {"input": 2, "output": -5}, {"input": 3, "output": 6}, {"input": 4, "output": 7}, {"input": 5, "output": 9}]

Current certified implementation:
```python
def transform(x):
    delta = (-7, -1, 1, -1, 3, 4)
    return x + delta[abs(x) % 6]
```

Sanitized verifier feedback:
passed_count=9
failed_count=9
failed_obligation_ids=["lookup_delta.protected.case_000", "lookup_delta.protected.case_001", "lookup_delta.protected.case_002", "lookup_delta.protected.case_006", "lookup_delta.protected.case_007", "lookup_delta.protected.case_008", "lookup_delta.protected.case_009", "lookup_delta.protected.case_010", "lookup_delta.protected.case_011"]

Produce the next complete implementation.

def transform(x):
    delta = (-7, -5, 1, -1, 3, 4)
    return x + delta[abs(x) % 6]


def transform(x):
    delta = (-7, -1, 1, 3, 3, 4)
    return x + delta[abs(x) % 6]

Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.

Task:
Repair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.

Visible examples:
[{"input": 0, "output": -6}, {"input": 1, "output": 0}, {"input": 2, "output": -5}, {"input": 3, "output": 6}, {"input": 4, "output": 7}, {"input": 5, "output": 9}]

Current certified implementation:
```python
def transform(x):
    delta = (-7, -1, 1, -1, 3, 4)
    return x + delta[abs(x) % 6]
```

Sanitized verifier feedback:
passed_count=9
failed_count=9
failed_obligation_ids=["lookup_delta.protected.case_000", "lookup_delta.protected.case_001", "lookup_delta.protected.case_002", "lookup_delta.protected.case_006", "lookup_delta.protected.case_007", "lookup_delta.protected.case_008", "lookup_delta.protected.case_009", "lookup_delta.protected.case_010", "lookup_delta.protected.case_011"]

Produce the next complete implementation.

def transform(x):
    delta = (-7, 6, 1, 3, 3, 4)
    return x + delta[abs(x) % 6]


def transform(x):
    delta = (-7, -1, 1, 3, 3, 4)
    return x + delta[abs(x) % 6]

Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.

Task:
Repair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.

Visible examples:
[{"input": 0, "output": -6}, {"input": 1, "output": 0}, {"input": 2, "output": -5}, {"input": 3, "output": 6}, {"input": 4, "output": 7}, {"input": 5, "output": 9}]

Current certified implementation:
```python
def transform(x):
    delta = (-7, -1, 1, -1, 3, 4)
    return x + delta[abs(x) % 6]
```

Sanitized verifier feedback:
passed_count=9
failed_count=9
failed_obligation_ids=["lookup_delta.protected.case_000", "lookup_delta.protected.case_001", "lookup_delta.protected.case_002", "lookup_delta.protected.case_006", "lookup_delta.protected.case_007", "lookup_delta.protected.case_008", "lookup_delta.protected.case_009", "lookup_delta.protected.case_010", "lookup_delta.protected.case_011"]

Produce the next complete implementation.

def transform(x):
    delta = (-7, -6, -7, 3, 3, 4)
    return x + delta[abs(x) % 6]


def transform(x):
    delta = (-7, -1, -7, 3, 3, 4)
    return x + delta[abs(x) % 6]

Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.

Task:
Repair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.

Visible examples:
[{"input": 0, "output": -6}, {"input": 1, "output": 0}, {"input": 2, "output": -5}, {"input": 3, "output": 6}, {"input": 4, "output": 7}, {"input": 5, "output": 9}]

Current certified implementation:
```python
def transform(x):
    delta = (-7, -1, 1, 3, 3, 4)
    return x + delta[abs(x) % 6]
```

Sanitized verifier feedback:
passed_count=12
failed_count=6
failed_obligation_ids=["lookup_delta.protected.case_000", "lookup_delta.protected.case_001", "lookup_delta.protected.case_002", "lookup_delta.protected.case_006", "lookup_delta.protected.case_007", "lookup_delta.protected.case_008"]

Produce the next complete implementation.

def transform(x):
    delta = (-7, -1, 3, 3, 3, 4)
    return x + delta[abs(x) % 6]


def transform(x):
    delta = (-7, -1, -7, 3, 3, 4)
    return x + delta[abs(x) % 6]

Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.

Task:
Repair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.

Visible examples:
[{"input": 0, "output": -6}, {"input": 1, "output": 0}, {"input": 2, "output": -5}, {"input": 3, "output": 6}, {"input": 4, "output": 7}, {"input": 5, "output": 9}]

Current certified implementation:
```python
def transform(x):
    delta = (-7, -1, 1, 3, 3, 4)
    return x + delta[abs(x) % 6]
```

Sanitized verifier feedback:
passed_count=12
failed_count=6
failed_obligation_ids=["lookup_delta.protected.case_000", "lookup_delta.protected.case_001", "lookup_delta.protected.case_002", "lookup_delta.protected.case_006", "lookup_delta.protected.case_007", "lookup_delta.protected.case_008"]

Produce the next complete implementation.

def transform(x):
    delta = (-7, -1, 1, 3, 0, 4)
    return x + delta[abs(x) % 6]


def transform(x):
    delta = (-7, -1, -7, 3, 3, 4)
    return x + delta[abs(x) % 6]

Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.

Task:
Repair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.

Visible examples:
[{"input": 0, "output": -6}, {"input": 1, "output": 0}, {"input": 2, "output": -5}, {"input": 3, "output": 6}, {"input": 4, "output": 7}, {"input": 5, "output": 9}]

Current certified implementation:
```python
def transform(x):
    delta = (-7, -1, 1, 3, 3, 4)
    return x + delta[abs(x) % 6]
```

Sanitized verifier feedback:
passed_count=12
failed_count=6
failed_obligation_ids=["lookup_delta.protected.case_000", "lookup_delta.protected.case_001", "lookup_delta.protected.case_002", "lookup_delta.protected.case_006", "lookup_delta.protected.case_007", "lookup_delta.protected.case_008"]

Produce the next complete implementation.

def transform(x):
    delta = (-7, -1, -7, 3, -4, 4)
    return x + delta[abs(x) % 6]


def transform(x):
    delta = (-7, -1, -7, 3, 3, 4)
    return x + delta[abs(x) % 6]

Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.

Task:
Repair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.

Visible examples:
[{"input": 0, "output": -6}, {"input": 1, "output": 0}, {"input": 2, "output": -5}, {"input": 3, "output": 6}, {"input": 4, "output": 7}, {"input": 5, "output": 9}]

Current certified implementation:
```python
def transform(x):
    delta = (-7, -1, 1, 3, 3, 4)
    return x + delta[abs(x) % 6]
```

Sanitized verifier feedback:
passed_count=12
failed_count=6
failed_obligation_ids=["lookup_delta.protected.case_000", "lookup_delta.protected.case_001", "lookup_delta.protected.case_002", "lookup_delta.protected.case_006", "lookup_delta.protected.case_007", "lookup_delta.protected.case_008"]

Produce the next complete implementation.

def transform(x):
    delta = (-6, -1, -7, 3, 6, 4)
    return x + delta[abs(x) % 6]


def transform(x):
    delta = (-6, -1, -7, 3, 3, 4)
    return x + delta[abs(x) % 6]

Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.

Task:
Repair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.

Visible examples:
[{"input": 0, "output": -6}, {"input": 1, "output": 0}, {"input": 2, "output": -5}, {"input": 3, "output": 6}, {"input": 4, "output": 7}, {"input": 5, "output": 9}]

Current certified implementation:
```python
def transform(x):
    delta = (-7, -1, -7, 3, 3, 4)
    return x + delta[abs(x) % 6]
```

Sanitized verifier feedback:
passed_count=15
failed_count=3
failed_obligation_ids=["lookup_delta.protected.case_000", "lookup_delta.protected.case_001", "lookup_delta.protected.case_002"]

Produce the next complete implementation.

def transform(x):
    delta = (0, -1, -7, 3, 3, 4)
    return x + delta[abs(x) % 6]


def transform(x):
    delta = (-6, -1, -7, 3, 3, 4)
    return x + delta[abs(x) % 6]

Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.

Task:
Repair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.

Visible examples:
[{"input": 0, "output": -6}, {"input": 1, "output": 0}, {"input": 2, "output": -5}, {"input": 3, "output": 6}, {"input": 4, "output": 7}, {"input": 5, "output": 9}]

Current certified implementation:
```python
def transform(x):
    delta = (-7, -1, -7, 3, 3, 4)
    return x + delta[abs(x) % 6]
```

Sanitized verifier feedback:
passed_count=15
failed_count=3
failed_obligation_ids=["lookup_delta.protected.case_000", "lookup_delta.protected.case_001", "lookup_delta.protected.case_002"]

Produce the next complete implementation.

def transform(x):
    delta = (-7, -1, 2, 3, 3, 4)
    return x + delta[abs(x) % 6]


def transform(x):
    delta = (-6, -1, -7, 3, 3, 4)
    return x + delta[abs(x) % 6]

Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.

Task:
Repair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.

Visible examples:
[{"input": 0, "output": -6}, {"input": 1, "output": 0}, {"input": 2, "output": -5}, {"input": 3, "output": 6}, {"input": 4, "output": 7}, {"input": 5, "output": 9}]

Current certified implementation:
```python
def transform(x):
    delta = (-7, -1, -7, 3, 3, 4)
    return x + delta[abs(x) % 6]
```

Sanitized verifier feedback:
passed_count=15
failed_count=3
failed_obligation_ids=["lookup_delta.protected.case_000", "lookup_delta.protected.case_001", "lookup_delta.protected.case_002"]

Produce the next complete implementation.

def transform(x):
    delta = (-6, -1, 8, 3, 3, 4)
    return x + delta[abs(x) % 6]


def transform(x):
    masks = (11, 6, 12, 14)
    return x ^ masks[x & 3]

Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.

Task:
Repair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.

Visible examples:
[{"input": 0, "output": 4}, {"input": 1, "output": 7}, {"input": 2, "output": 14}, {"input": 3, "output": 13}]

Current certified implementation:
```python
def transform(x):
    masks = (11, 6, 1, 14)
    return x ^ masks[x & 3]
```

Sanitized verifier feedback:
passed_count=6
failed_count=6
failed_obligation_ids=["xor_mask.protected.case_000", "xor_mask.protected.case_001", "xor_mask.protected.case_002", "xor_mask.protected.case_006", "xor_mask.protected.case_007", "xor_mask.protected.case_008"]

Produce the next complete implementation.

def transform(x):
    masks = (11, 6, 6, 14)
    return x ^ masks[x & 3]


def transform(x):
    masks = (11, 6, 12, 14)
    return x ^ masks[x & 3]

Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.

Task:
Repair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.

Visible examples:
[{"input": 0, "output": 4}, {"input": 1, "output": 7}, {"input": 2, "output": 14}, {"input": 3, "output": 13}]

Current certified implementation:
```python
def transform(x):
    masks = (11, 6, 1, 14)
    return x ^ masks[x & 3]
```

Sanitized verifier feedback:
passed_count=6
failed_count=6
failed_obligation_ids=["xor_mask.protected.case_000", "xor_mask.protected.case_001", "xor_mask.protected.case_002", "xor_mask.protected.case_006", "xor_mask.protected.case_007", "xor_mask.protected.case_008"]

Produce the next complete implementation.

def transform(x):
    masks = (11, 6, 1, 3)
    return x ^ masks[x & 3]


def transform(x):
    masks = (11, 6, 12, 14)
    return x ^ masks[x & 3]

Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.

Task:
Repair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.

Visible examples:
[{"input": 0, "output": 4}, {"input": 1, "output": 7}, {"input": 2, "output": 14}, {"input": 3, "output": 13}]

Current certified implementation:
```python
def transform(x):
    masks = (11, 6, 1, 14)
    return x ^ masks[x & 3]
```

Sanitized verifier feedback:
passed_count=6
failed_count=6
failed_obligation_ids=["xor_mask.protected.case_000", "xor_mask.protected.case_001", "xor_mask.protected.case_002", "xor_mask.protected.case_006", "xor_mask.protected.case_007", "xor_mask.protected.case_008"]

Produce the next complete implementation.

def transform(x):
    masks = (11, 6, 12, 4)
    return x ^ masks[x & 3]


def transform(x):
    masks = (11, 6, 12, 14)
    return x ^ masks[x & 3]

Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.

Task:
Repair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.

Visible examples:
[{"input": 0, "output": 4}, {"input": 1, "output": 7}, {"input": 2, "output": 14}, {"input": 3, "output": 13}]

Current certified implementation:
```python
def transform(x):
    masks = (11, 6, 1, 14)
    return x ^ masks[x & 3]
```

Sanitized verifier feedback:
passed_count=6
failed_count=6
failed_obligation_ids=["xor_mask.protected.case_000", "xor_mask.protected.case_001", "xor_mask.protected.case_002", "xor_mask.protected.case_006", "xor_mask.protected.case_007", "xor_mask.protected.case_008"]

Produce the next complete implementation.

def transform(x):
    masks = (4, 6, 12, 7)
    return x ^ masks[x & 3]


def transform(x):
    masks = (4, 6, 12, 14)
    return x ^ masks[x & 3]

Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.

Task:
Repair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.

Visible examples:
[{"input": 0, "output": 4}, {"input": 1, "output": 7}, {"input": 2, "output": 14}, {"input": 3, "output": 13}]

Current certified implementation:
```python
def transform(x):
    masks = (11, 6, 12, 14)
    return x ^ masks[x & 3]
```

Sanitized verifier feedback:
passed_count=9
failed_count=3
failed_obligation_ids=["xor_mask.protected.case_000", "xor_mask.protected.case_001", "xor_mask.protected.case_002"]

Produce the next complete implementation.

def transform(x):
    masks = (2, 6, 12, 14)
    return x ^ masks[x & 3]


def transform(x):
    masks = (4, 6, 12, 14)
    return x ^ masks[x & 3]

Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.

Task:
Repair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.

Visible examples:
[{"input": 0, "output": 4}, {"input": 1, "output": 7}, {"input": 2, "output": 14}, {"input": 3, "output": 13}]

Current certified implementation:
```python
def transform(x):
    masks = (11, 6, 12, 14)
    return x ^ masks[x & 3]
```

Sanitized verifier feedback:
passed_count=9
failed_count=3
failed_obligation_ids=["xor_mask.protected.case_000", "xor_mask.protected.case_001", "xor_mask.protected.case_002"]

Produce the next complete implementation.

def transform(x):
    masks = (11, 5, 12, 14)
    return x ^ masks[x & 3]


def transform(x):
    masks = (4, 6, 12, 14)
    return x ^ masks[x & 3]

Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.

Task:
Repair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.

Visible examples:
[{"input": 0, "output": 4}, {"input": 1, "output": 7}, {"input": 2, "output": 14}, {"input": 3, "output": 13}]

Current certified implementation:
```python
def transform(x):
    masks = (11, 6, 12, 14)
    return x ^ masks[x & 3]
```

Sanitized verifier feedback:
passed_count=9
failed_count=3
failed_obligation_ids=["xor_mask.protected.case_000", "xor_mask.protected.case_001", "xor_mask.protected.case_002"]

Produce the next complete implementation.

def transform(x):
    masks = (4, 12, 12, 14)
    return x ^ masks[x & 3]


def transform(x):
    masks = (3, 3, 10, 10)
    return x ^ masks[x & 3]

Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.

Task:
Repair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.

Visible examples:
[{"input": 0, "output": 11}, {"input": 1, "output": 2}, {"input": 2, "output": 5}, {"input": 3, "output": 9}]

Current certified implementation:
```python
def transform(x):
    masks = (3, 3, 10, 9)
    return x ^ masks[x & 3]
```

Sanitized verifier feedback:
passed_count=3
failed_count=9
failed_obligation_ids=["xor_mask.protected.case_000", "xor_mask.protected.case_001", "xor_mask.protected.case_002", "xor_mask.protected.case_006", "xor_mask.protected.case_007", "xor_mask.protected.case_008", "xor_mask.protected.case_009", "xor_mask.protected.case_010", "xor_mask.protected.case_011"]

Produce the next complete implementation.

def transform(x):
    masks = (3, 3, 10, 15)
    return x ^ masks[x & 3]


def transform(x):
    masks = (3, 3, 10, 10)
    return x ^ masks[x & 3]

Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.

Task:
Repair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.

Visible examples:
[{"input": 0, "output": 11}, {"input": 1, "output": 2}, {"input": 2, "output": 5}, {"input": 3, "output": 9}]

Current certified implementation:
```python
def transform(x):
    masks = (3, 3, 10, 9)
    return x ^ masks[x & 3]
```

Sanitized verifier feedback:
passed_count=3
failed_count=9
failed_obligation_ids=["xor_mask.protected.case_000", "xor_mask.protected.case_001", "xor_mask.protected.case_002", "xor_mask.protected.case_006", "xor_mask.protected.case_007", "xor_mask.protected.case_008", "xor_mask.protected.case_009", "xor_mask.protected.case_010", "xor_mask.protected.case_011"]

Produce the next complete implementation.

def transform(x):
    masks = (3, 13, 10, 9)
    return x ^ masks[x & 3]


def transform(x):
    masks = (3, 3, 10, 10)
    return x ^ masks[x & 3]

Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.

Task:
Repair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.

Visible examples:
[{"input": 0, "output": 11}, {"input": 1, "output": 2}, {"input": 2, "output": 5}, {"input": 3, "output": 9}]

Current certified implementation:
```python
def transform(x):
    masks = (3, 3, 10, 9)
    return x ^ masks[x & 3]
```

Sanitized verifier feedback:
passed_count=3
failed_count=9
failed_obligation_ids=["xor_mask.protected.case_000", "xor_mask.protected.case_001", "xor_mask.protected.case_002", "xor_mask.protected.case_006", "xor_mask.protected.case_007", "xor_mask.protected.case_008", "xor_mask.protected.case_009", "xor_mask.protected.case_010", "xor_mask.protected.case_011"]

Produce the next complete implementation.

def transform(x):
    masks = (3, 6, 10, 10)
    return x ^ masks[x & 3]


def transform(x):
    masks = (3, 3, 10, 10)
    return x ^ masks[x & 3]

Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.

Task:
Repair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.

Visible examples:
[{"input": 0, "output": 11}, {"input": 1, "output": 2}, {"input": 2, "output": 5}, {"input": 3, "output": 9}]

Current certified implementation:
```python
def transform(x):
    masks = (3, 3, 10, 9)
    return x ^ masks[x & 3]
```

Sanitized verifier feedback:
passed_count=3
failed_count=9
failed_obligation_ids=["xor_mask.protected.case_000", "xor_mask.protected.case_001", "xor_mask.protected.case_002", "xor_mask.protected.case_006", "xor_mask.protected.case_007", "xor_mask.protected.case_008", "xor_mask.protected.case_009", "xor_mask.protected.case_010", "xor_mask.protected.case_011"]

Produce the next complete implementation.

def transform(x):
    masks = (11, 5, 10, 10)
    return x ^ masks[x & 3]


def transform(x):
    masks = (11, 3, 10, 10)
    return x ^ masks[x & 3]

Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.

Task:
Repair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.

Visible examples:
[{"input": 0, "output": 11}, {"input": 1, "output": 2}, {"input": 2, "output": 5}, {"input": 3, "output": 9}]

Current certified implementation:
```python
def transform(x):
    masks = (3, 3, 10, 10)
    return x ^ masks[x & 3]
```

Sanitized verifier feedback:
passed_count=6
failed_count=6
failed_obligation_ids=["xor_mask.protected.case_000", "xor_mask.protected.case_001", "xor_mask.protected.case_002", "xor_mask.protected.case_006", "xor_mask.protected.case_007", "xor_mask.protected.case_008"]

Produce the next complete implementation.

def transform(x):
    masks = (15, 3, 10, 10)
    return x ^ masks[x & 3]


def transform(x):
    masks = (11, 3, 10, 10)
    return x ^ masks[x & 3]

Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.

Task:
Repair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.

Visible examples:
[{"input": 0, "output": 11}, {"input": 1, "output": 2}, {"input": 2, "output": 5}, {"input": 3, "output": 9}]

Current certified implementation:
```python
def transform(x):
    masks = (3, 3, 10, 10)
    return x ^ masks[x & 3]
```

Sanitized verifier feedback:
passed_count=6
failed_count=6
failed_obligation_ids=["xor_mask.protected.case_000", "xor_mask.protected.case_001", "xor_mask.protected.case_002", "xor_mask.protected.case_006", "xor_mask.protected.case_007", "xor_mask.protected.case_008"]

Produce the next complete implementation.

def transform(x):
    masks = (3, 13, 10, 10)
    return x ^ masks[x & 3]


def transform(x):
    masks = (11, 3, 10, 10)
    return x ^ masks[x & 3]

Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.

Task:
Repair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.

Visible examples:
[{"input": 0, "output": 11}, {"input": 1, "output": 2}, {"input": 2, "output": 5}, {"input": 3, "output": 9}]

Current certified implementation:
```python
def transform(x):
    masks = (3, 3, 10, 10)
    return x ^ masks[x & 3]
```

Sanitized verifier feedback:
passed_count=6
failed_count=6
failed_obligation_ids=["xor_mask.protected.case_000", "xor_mask.protected.case_001", "xor_mask.protected.case_002", "xor_mask.protected.case_006", "xor_mask.protected.case_007", "xor_mask.protected.case_008"]

Produce the next complete implementation.

def transform(x):
    masks = (11, 5, 10, 10)
    return x ^ masks[x & 3]


def transform(x):
    masks = (11, 3, 10, 10)
    return x ^ masks[x & 3]

Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.

Task:
Repair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.

Visible examples:
[{"input": 0, "output": 11}, {"input": 1, "output": 2}, {"input": 2, "output": 5}, {"input": 3, "output": 9}]

Current certified implementation:
```python
def transform(x):
    masks = (3, 3, 10, 10)
    return x ^ masks[x & 3]
```

Sanitized verifier feedback:
passed_count=6
failed_count=6
failed_obligation_ids=["xor_mask.protected.case_000", "xor_mask.protected.case_001", "xor_mask.protected.case_002", "xor_mask.protected.case_006", "xor_mask.protected.case_007", "xor_mask.protected.case_008"]

Produce the next complete implementation.

def transform(x):
    masks = (11, 14, 7, 10)
    return x ^ masks[x & 3]


def transform(x):
    masks = (11, 3, 7, 10)
    return x ^ masks[x & 3]

Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.

Task:
Repair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.

Visible examples:
[{"input": 0, "output": 11}, {"input": 1, "output": 2}, {"input": 2, "output": 5}, {"input": 3, "output": 9}]

Current certified implementation:
```python
def transform(x):
    masks = (11, 3, 10, 10)
    return x ^ masks[x & 3]
```

Sanitized verifier feedback:
passed_count=9
failed_count=3
failed_obligation_ids=["xor_mask.protected.case_006", "xor_mask.protected.case_007", "xor_mask.protected.case_008"]

Produce the next complete implementation.

def transform(x):
    masks = (11, 3, 14, 10)
    return x ^ masks[x & 3]


def transform(x):
    masks = (11, 3, 7, 10)
    return x ^ masks[x & 3]

Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.

Task:
Repair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.

Visible examples:
[{"input": 0, "output": 11}, {"input": 1, "output": 2}, {"input": 2, "output": 5}, {"input": 3, "output": 9}]

Current certified implementation:
```python
def transform(x):
    masks = (11, 3, 10, 10)
    return x ^ masks[x & 3]
```

Sanitized verifier feedback:
passed_count=9
failed_count=3
failed_obligation_ids=["xor_mask.protected.case_006", "xor_mask.protected.case_007", "xor_mask.protected.case_008"]

Produce the next complete implementation.

def transform(x):
    masks = (11, 6, 10, 10)
    return x ^ masks[x & 3]


def transform(x):
    masks = (11, 3, 7, 10)
    return x ^ masks[x & 3]

Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.

Task:
Repair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.

Visible examples:
[{"input": 0, "output": 11}, {"input": 1, "output": 2}, {"input": 2, "output": 5}, {"input": 3, "output": 9}]

Current certified implementation:
```python
def transform(x):
    masks = (11, 3, 10, 10)
    return x ^ masks[x & 3]
```

Sanitized verifier feedback:
passed_count=9
failed_count=3
failed_obligation_ids=["xor_mask.protected.case_006", "xor_mask.protected.case_007", "xor_mask.protected.case_008"]

Produce the next complete implementation.

def transform(x):
    masks = (11, 13, 7, 10)
    return x ^ masks[x & 3]


def transform(x):
    bias = (4, -1, -1, -1, 3)
    return x * x + bias[x % 5]

Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.

Task:
Repair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.

Visible examples:
[{"input": 0, "output": 4}, {"input": 1, "output": 0}, {"input": 2, "output": 3}, {"input": 3, "output": 8}, {"input": -1, "output": -2}]

Current certified implementation:
```python
def transform(x):
    bias = (-3, -1, -1, -1, 3)
    return x * x + bias[x % 5]
```

Sanitized verifier feedback:
passed_count=9
failed_count=6
failed_obligation_ids=["quadratic_residue.protected.case_000", "quadratic_residue.protected.case_001", "quadratic_residue.protected.case_002", "quadratic_residue.protected.case_012", "quadratic_residue.protected.case_013", "quadratic_residue.protected.case_014"]

Produce the next complete implementation.

def transform(x):
    bias = (-7, -1, -1, -1, 3)
    return x * x + bias[x % 5]


def transform(x):
    bias = (4, -1, -1, -1, 3)
    return x * x + bias[x % 5]

Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.

Task:
Repair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.

Visible examples:
[{"input": 0, "output": 4}, {"input": 1, "output": 0}, {"input": 2, "output": 3}, {"input": 3, "output": 8}, {"input": -1, "output": -2}]

Current certified implementation:
```python
def transform(x):
    bias = (-3, -1, -1, -1, 3)
    return x * x + bias[x % 5]
```

Sanitized verifier feedback:
passed_count=9
failed_count=6
failed_obligation_ids=["quadratic_residue.protected.case_000", "quadratic_residue.protected.case_001", "quadratic_residue.protected.case_002", "quadratic_residue.protected.case_012", "quadratic_residue.protected.case_013", "quadratic_residue.protected.case_014"]

Produce the next complete implementation.

def transform(x):
    bias = (-3, -1, -2, -1, 3)
    return x * x + bias[x % 5]


def transform(x):
    bias = (4, -1, -1, -1, 3)
    return x * x + bias[x % 5]

Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.

Task:
Repair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.

Visible examples:
[{"input": 0, "output": 4}, {"input": 1, "output": 0}, {"input": 2, "output": 3}, {"input": 3, "output": 8}, {"input": -1, "output": -2}]

Current certified implementation:
```python
def transform(x):
    bias = (-3, -1, -1, -1, 3)
    return x * x + bias[x % 5]
```

Sanitized verifier feedback:
passed_count=9
failed_count=6
failed_obligation_ids=["quadratic_residue.protected.case_000", "quadratic_residue.protected.case_001", "quadratic_residue.protected.case_002", "quadratic_residue.protected.case_012", "quadratic_residue.protected.case_013", "quadratic_residue.protected.case_014"]

Produce the next complete implementation.

def transform(x):
    bias = (4, -1, -6, -1, 3)
    return x * x + bias[x % 5]


def transform(x):
    bias = (4, -1, -1, -1, 3)
    return x * x + bias[x % 5]

Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.

Task:
Repair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.

Visible examples:
[{"input": 0, "output": 4}, {"input": 1, "output": 0}, {"input": 2, "output": 3}, {"input": 3, "output": 8}, {"input": -1, "output": -2}]

Current certified implementation:
```python
def transform(x):
    bias = (-3, -1, -1, -1, 3)
    return x * x + bias[x % 5]
```

Sanitized verifier feedback:
passed_count=9
failed_count=6
failed_obligation_ids=["quadratic_residue.protected.case_000", "quadratic_residue.protected.case_001", "quadratic_residue.protected.case_002", "quadratic_residue.protected.case_012", "quadratic_residue.protected.case_013", "quadratic_residue.protected.case_014"]

Produce the next complete implementation.

def transform(x):
    bias = (4, -1, 6, -1, -3)
    return x * x + bias[x % 5]


def transform(x):
    bias = (4, -1, -1, -1, -3)
    return x * x + bias[x % 5]

Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.

Task:
Repair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.

Visible examples:
[{"input": 0, "output": 4}, {"input": 1, "output": 0}, {"input": 2, "output": 3}, {"input": 3, "output": 8}, {"input": -1, "output": -2}]

Current certified implementation:
```python
def transform(x):
    bias = (4, -1, -1, -1, 3)
    return x * x + bias[x % 5]
```

Sanitized verifier feedback:
passed_count=12
failed_count=3
failed_obligation_ids=["quadratic_residue.protected.case_012", "quadratic_residue.protected.case_013", "quadratic_residue.protected.case_014"]

Produce the next complete implementation.

def transform(x):
    bias = (4, -1, -1, -1, 1)
    return x * x + bias[x % 5]


def transform(x):
    bias = (4, -1, -1, -1, -3)
    return x * x + bias[x % 5]

Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.

Task:
Repair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.

Visible examples:
[{"input": 0, "output": 4}, {"input": 1, "output": 0}, {"input": 2, "output": 3}, {"input": 3, "output": 8}, {"input": -1, "output": -2}]

Current certified implementation:
```python
def transform(x):
    bias = (4, -1, -1, -1, 3)
    return x * x + bias[x % 5]
```

Sanitized verifier feedback:
passed_count=12
failed_count=3
failed_obligation_ids=["quadratic_residue.protected.case_012", "quadratic_residue.protected.case_013", "quadratic_residue.protected.case_014"]

Produce the next complete implementation.

def transform(x):
    bias = (4, 5, -1, -1, 3)
    return x * x + bias[x % 5]


def transform(x):
    bias = (4, -1, -1, -1, -3)
    return x * x + bias[x % 5]

Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.

Task:
Repair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.

Visible examples:
[{"input": 0, "output": 4}, {"input": 1, "output": 0}, {"input": 2, "output": 3}, {"input": 3, "output": 8}, {"input": -1, "output": -2}]

Current certified implementation:
```python
def transform(x):
    bias = (4, -1, -1, -1, 3)
    return x * x + bias[x % 5]
```

Sanitized verifier feedback:
passed_count=12
failed_count=3
failed_obligation_ids=["quadratic_residue.protected.case_012", "quadratic_residue.protected.case_013", "quadratic_residue.protected.case_014"]

Produce the next complete implementation.

def transform(x):
    bias = (4, -5, -1, -1, -3)
    return x * x + bias[x % 5]


def transform(x):
    delta = (-1, 7, 0, -4, -2, 5)
    return x + delta[abs(x) % 6]

Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.

Task:
Repair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.

Visible examples:
[{"input": 0, "output": -1}, {"input": 1, "output": 5}, {"input": 2, "output": 2}, {"input": 3, "output": -1}, {"input": 4, "output": 5}, {"input": 5, "output": 10}]

Current certified implementation:
```python
def transform(x):
    delta = (-1, 7, 7, -4, -2, 5)
    return x + delta[abs(x) % 6]
```

Sanitized verifier feedback:
passed_count=9
failed_count=9
failed_obligation_ids=["lookup_delta.protected.case_003", "lookup_delta.protected.case_004", "lookup_delta.protected.case_005", "lookup_delta.protected.case_006", "lookup_delta.protected.case_007", "lookup_delta.protected.case_008", "lookup_delta.protected.case_012", "lookup_delta.protected.case_013", "lookup_delta.protected.case_014"]

Produce the next complete implementation.

def transform(x):
    delta = (-1, 7, 1, -4, -2, 5)
    return x + delta[abs(x) % 6]


def transform(x):
    delta = (-1, 7, 0, -4, -2, 5)
    return x + delta[abs(x) % 6]

Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.

Task:
Repair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.

Visible examples:
[{"input": 0, "output": -1}, {"input": 1, "output": 5}, {"input": 2, "output": 2}, {"input": 3, "output": -1}, {"input": 4, "output": 5}, {"input": 5, "output": 10}]

Current certified implementation:
```python
def transform(x):
    delta = (-1, 7, 7, -4, -2, 5)
    return x + delta[abs(x) % 6]
```

Sanitized verifier feedback:
passed_count=9
failed_count=9
failed_obligation_ids=["lookup_delta.protected.case_003", "lookup_delta.protected.case_004", "lookup_delta.protected.case_005", "lookup_delta.protected.case_006", "lookup_delta.protected.case_007", "lookup_delta.protected.case_008", "lookup_delta.protected.case_012", "lookup_delta.protected.case_013", "lookup_delta.protected.case_014"]

Produce the next complete implementation.

def transform(x):
    delta = (-1, 7, 7, 6, -2, 5)
    return x + delta[abs(x) % 6]


def transform(x):
    delta = (-1, 7, 0, -4, -2, 5)
    return x + delta[abs(x) % 6]

Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.

Task:
Repair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.

Visible examples:
[{"input": 0, "output": -1}, {"input": 1, "output": 5}, {"input": 2, "output": 2}, {"input": 3, "output": -1}, {"input": 4, "output": 5}, {"input": 5, "output": 10}]

Current certified implementation:
```python
def transform(x):
    delta = (-1, 7, 7, -4, -2, 5)
    return x + delta[abs(x) % 6]
```

Sanitized verifier feedback:
passed_count=9
failed_count=9
failed_obligation_ids=["lookup_delta.protected.case_003", "lookup_delta.protected.case_004", "lookup_delta.protected.case_005", "lookup_delta.protected.case_006", "lookup_delta.protected.case_007", "lookup_delta.protected.case_008", "lookup_delta.protected.case_012", "lookup_delta.protected.case_013", "lookup_delta.protected.case_014"]

Produce the next complete implementation.

def transform(x):
    delta = (-1, 7, 0, 4, -2, 5)
    return x + delta[abs(x) % 6]


def transform(x):
    delta = (-1, 7, 0, -4, -2, 5)
    return x + delta[abs(x) % 6]

Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.

Task:
Repair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.

Visible examples:
[{"input": 0, "output": -1}, {"input": 1, "output": 5}, {"input": 2, "output": 2}, {"input": 3, "output": -1}, {"input": 4, "output": 5}, {"input": 5, "output": 10}]

Current certified implementation:
```python
def transform(x):
    delta = (-1, 7, 7, -4, -2, 5)
    return x + delta[abs(x) % 6]
```

Sanitized verifier feedback:
passed_count=9
failed_count=9
failed_obligation_ids=["lookup_delta.protected.case_003", "lookup_delta.protected.case_004", "lookup_delta.protected.case_005", "lookup_delta.protected.case_006", "lookup_delta.protected.case_007", "lookup_delta.protected.case_008", "lookup_delta.protected.case_012", "lookup_delta.protected.case_013", "lookup_delta.protected.case_014"]

Produce the next complete implementation.

def transform(x):
    delta = (-1, 4, 0, -1, -2, 5)
    return x + delta[abs(x) % 6]


def transform(x):
    delta = (-1, 4, 0, -4, -2, 5)
    return x + delta[abs(x) % 6]

Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.

Task:
Repair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.

Visible examples:
[{"input": 0, "output": -1}, {"input": 1, "output": 5}, {"input": 2, "output": 2}, {"input": 3, "output": -1}, {"input": 4, "output": 5}, {"input": 5, "output": 10}]

Current certified implementation:
```python
def transform(x):
    delta = (-1, 7, 0, -4, -2, 5)
    return x + delta[abs(x) % 6]
```

Sanitized verifier feedback:
passed_count=12
failed_count=6
failed_obligation_ids=["lookup_delta.protected.case_003", "lookup_delta.protected.case_004", "lookup_delta.protected.case_005", "lookup_delta.protected.case_012", "lookup_delta.protected.case_013", "lookup_delta.protected.case_014"]

Produce the next complete implementation.

def transform(x):
    delta = (-1, -8, 0, -4, -2, 5)
    return x + delta[abs(x) % 6]


def transform(x):
    delta = (-1, 4, 0, -4, -2, 5)
    return x + delta[abs(x) % 6]

Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.

Task:
Repair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.

Visible examples:
[{"input": 0, "output": -1}, {"input": 1, "output": 5}, {"input": 2, "output": 2}, {"input": 3, "output": -1}, {"input": 4, "output": 5}, {"input": 5, "output": 10}]

Current certified implementation:
```python
def transform(x):
    delta = (-1, 7, 0, -4, -2, 5)
    return x + delta[abs(x) % 6]
```

Sanitized verifier feedback:
passed_count=12
failed_count=6
failed_obligation_ids=["lookup_delta.protected.case_003", "lookup_delta.protected.case_004", "lookup_delta.protected.case_005", "lookup_delta.protected.case_012", "lookup_delta.protected.case_013", "lookup_delta.protected.case_014"]

Produce the next complete implementation.

def transform(x):
    delta = (3, 7, 0, -4, -2, 5)
    return x + delta[abs(x) % 6]


def transform(x):
    delta = (-1, 4, 0, -4, -2, 5)
    return x + delta[abs(x) % 6]

Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.

Task:
Repair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.

Visible examples:
[{"input": 0, "output": -1}, {"input": 1, "output": 5}, {"input": 2, "output": 2}, {"input": 3, "output": -1}, {"input": 4, "output": 5}, {"input": 5, "output": 10}]

Current certified implementation:
```python
def transform(x):
    delta = (-1, 7, 0, -4, -2, 5)
    return x + delta[abs(x) % 6]
```

Sanitized verifier feedback:
passed_count=12
failed_count=6
failed_obligation_ids=["lookup_delta.protected.case_003", "lookup_delta.protected.case_004", "lookup_delta.protected.case_005", "lookup_delta.protected.case_012", "lookup_delta.protected.case_013", "lookup_delta.protected.case_014"]

Produce the next complete implementation.

def transform(x):
    delta = (3, 4, 0, -4, -2, 5)
    return x + delta[abs(x) % 6]


def transform(x):
    delta = (-1, 4, 0, -4, -2, 5)
    return x + delta[abs(x) % 6]

Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.

Task:
Repair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.

Visible examples:
[{"input": 0, "output": -1}, {"input": 1, "output": 5}, {"input": 2, "output": 2}, {"input": 3, "output": -1}, {"input": 4, "output": 5}, {"input": 5, "output": 10}]

Current certified implementation:
```python
def transform(x):
    delta = (-1, 7, 0, -4, -2, 5)
    return x + delta[abs(x) % 6]
```

Sanitized verifier feedback:
passed_count=12
failed_count=6
failed_obligation_ids=["lookup_delta.protected.case_003", "lookup_delta.protected.case_004", "lookup_delta.protected.case_005", "lookup_delta.protected.case_012", "lookup_delta.protected.case_013", "lookup_delta.protected.case_014"]

Produce the next complete implementation.

def transform(x):
    delta = (-2, 4, 0, -4, 1, 5)
    return x + delta[abs(x) % 6]


def transform(x):
    delta = (-1, 4, 0, -4, 1, 5)
    return x + delta[abs(x) % 6]

Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.

Task:
Repair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.

Visible examples:
[{"input": 0, "output": -1}, {"input": 1, "output": 5}, {"input": 2, "output": 2}, {"input": 3, "output": -1}, {"input": 4, "output": 5}, {"input": 5, "output": 10}]

Current certified implementation:
```python
def transform(x):
    delta = (-1, 4, 0, -4, -2, 5)
    return x + delta[abs(x) % 6]
```

Sanitized verifier feedback:
passed_count=15
failed_count=3
failed_obligation_ids=["lookup_delta.protected.case_012", "lookup_delta.protected.case_013", "lookup_delta.protected.case_014"]

Produce the next complete implementation.

def transform(x):
    delta = (-1, 4, 0, -4, 8, 5)
    return x + delta[abs(x) % 6]


def transform(x):
    delta = (-1, 4, 0, -4, 1, 5)
    return x + delta[abs(x) % 6]

Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.

Task:
Repair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.

Visible examples:
[{"input": 0, "output": -1}, {"input": 1, "output": 5}, {"input": 2, "output": 2}, {"input": 3, "output": -1}, {"input": 4, "output": 5}, {"input": 5, "output": 10}]

Current certified implementation:
```python
def transform(x):
    delta = (-1, 4, 0, -4, -2, 5)
    return x + delta[abs(x) % 6]
```

Sanitized verifier feedback:
passed_count=15
failed_count=3
failed_obligation_ids=["lookup_delta.protected.case_012", "lookup_delta.protected.case_013", "lookup_delta.protected.case_014"]

Produce the next complete implementation.

def transform(x):
    delta = (-1, 4, 0, -4, -2, 4)
    return x + delta[abs(x) % 6]


def transform(x):
    delta = (-1, 4, 0, -4, 1, 5)
    return x + delta[abs(x) % 6]

Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.

Task:
Repair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.

Visible examples:
[{"input": 0, "output": -1}, {"input": 1, "output": 5}, {"input": 2, "output": 2}, {"input": 3, "output": -1}, {"input": 4, "output": 5}, {"input": 5, "output": 10}]

Current certified implementation:
```python
def transform(x):
    delta = (-1, 4, 0, -4, -2, 5)
    return x + delta[abs(x) % 6]
```

Sanitized verifier feedback:
passed_count=15
failed_count=3
failed_obligation_ids=["lookup_delta.protected.case_012", "lookup_delta.protected.case_013", "lookup_delta.protected.case_014"]

Produce the next complete implementation.

def transform(x):
    delta = (-1, 4, 0, -4, 1, -6)
    return x + delta[abs(x) % 6]


def transform(state):
    delta = (4, 3, 1, 4)
    return (state + delta[state & 3]) % 17

Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.

Task:
Repair the Python function transform(state) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.

Visible examples:
[{"input": 0, "output": 5}, {"input": 1, "output": 4}, {"input": 2, "output": 8}, {"input": 3, "output": 7}]

Current certified implementation:
```python
def transform(state):
    delta = (4, 5, 1, 4)
    return (state + delta[state & 3]) % 17
```

Sanitized verifier feedback:
passed_count=3
failed_count=9
failed_obligation_ids=["fsm_delta.protected.case_000", "fsm_delta.protected.case_001", "fsm_delta.protected.case_002", "fsm_delta.protected.case_003", "fsm_delta.protected.case_004", "fsm_delta.protected.case_005", "fsm_delta.protected.case_006", "fsm_delta.protected.case_007", "fsm_delta.protected.case_008"]

Produce the next complete implementation.

def transform(state):
    delta = (4, 4, 1, 4)
    return (state + delta[state & 3]) % 17


def transform(state):
    delta = (4, 3, 1, 4)
    return (state + delta[state & 3]) % 17

Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.

Task:
Repair the Python function transform(state) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.

Visible examples:
[{"input": 0, "output": 5}, {"input": 1, "output": 4}, {"input": 2, "output": 8}, {"input": 3, "output": 7}]

Current certified implementation:
```python
def transform(state):
    delta = (4, 5, 1, 4)
    return (state + delta[state & 3]) % 17
```

Sanitized verifier feedback:
passed_count=3
failed_count=9
failed_obligation_ids=["fsm_delta.protected.case_000", "fsm_delta.protected.case_001", "fsm_delta.protected.case_002", "fsm_delta.protected.case_003", "fsm_delta.protected.case_004", "fsm_delta.protected.case_005", "fsm_delta.protected.case_006", "fsm_delta.protected.case_007", "fsm_delta.protected.case_008"]

Produce the next complete implementation.

def transform(state):
    delta = (4, 5, 1, 3)
    return (state + delta[state & 3]) % 17


def transform(state):
    delta = (4, 3, 1, 4)
    return (state + delta[state & 3]) % 17

Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.

Task:
Repair the Python function transform(state) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.

Visible examples:
[{"input": 0, "output": 5}, {"input": 1, "output": 4}, {"input": 2, "output": 8}, {"input": 3, "output": 7}]

Current certified implementation:
```python
def transform(state):
    delta = (4, 5, 1, 4)
    return (state + delta[state & 3]) % 17
```

Sanitized verifier feedback:
passed_count=3
failed_count=9
failed_obligation_ids=["fsm_delta.protected.case_000", "fsm_delta.protected.case_001", "fsm_delta.protected.case_002", "fsm_delta.protected.case_003", "fsm_delta.protected.case_004", "fsm_delta.protected.case_005", "fsm_delta.protected.case_006", "fsm_delta.protected.case_007", "fsm_delta.protected.case_008"]

Produce the next complete implementation.

def transform(state):
    delta = (4, 3, 1, 3)
    return (state + delta[state & 3]) % 17


def transform(state):
    delta = (4, 3, 1, 4)
    return (state + delta[state & 3]) % 17

Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.

Task:
Repair the Python function transform(state) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.

Visible examples:
[{"input": 0, "output": 5}, {"input": 1, "output": 4}, {"input": 2, "output": 8}, {"input": 3, "output": 7}]

Current certified implementation:
```python
def transform(state):
    delta = (4, 5, 1, 4)
    return (state + delta[state & 3]) % 17
```

Sanitized verifier feedback:
passed_count=3
failed_count=9
failed_obligation_ids=["fsm_delta.protected.case_000", "fsm_delta.protected.case_001", "fsm_delta.protected.case_002", "fsm_delta.protected.case_003", "fsm_delta.protected.case_004", "fsm_delta.protected.case_005", "fsm_delta.protected.case_006", "fsm_delta.protected.case_007", "fsm_delta.protected.case_008"]

Produce the next complete implementation.

def transform(state):
    delta = (5, 3, 1, 5)
    return (state + delta[state & 3]) % 17


def transform(state):
    delta = (5, 3, 1, 4)
    return (state + delta[state & 3]) % 17

Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.

Task:
Repair the Python function transform(state) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.

Visible examples:
[{"input": 0, "output": 5}, {"input": 1, "output": 4}, {"input": 2, "output": 8}, {"input": 3, "output": 7}]

Current certified implementation:
```python
def transform(state):
    delta = (4, 3, 1, 4)
    return (state + delta[state & 3]) % 17
```

Sanitized verifier feedback:
passed_count=6
failed_count=6
failed_obligation_ids=["fsm_delta.protected.case_000", "fsm_delta.protected.case_001", "fsm_delta.protected.case_002", "fsm_delta.protected.case_006", "fsm_delta.protected.case_007", "fsm_delta.protected.case_008"]

Produce the next complete implementation.

def transform(state):
    delta = (2, 3, 1, 4)
    return (state + delta[state & 3]) % 17


def transform(state):
    delta = (5, 3, 1, 4)
    return (state + delta[state & 3]) % 17

Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.

Task:
Repair the Python function transform(state) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.

Visible examples:
[{"input": 0, "output": 5}, {"input": 1, "output": 4}, {"input": 2, "output": 8}, {"input": 3, "output": 7}]

Current certified implementation:
```python
def transform(state):
    delta = (4, 3, 1, 4)
    return (state + delta[state & 3]) % 17
```

Sanitized verifier feedback:
passed_count=6
failed_count=6
failed_obligation_ids=["fsm_delta.protected.case_000", "fsm_delta.protected.case_001", "fsm_delta.protected.case_002", "fsm_delta.protected.case_006", "fsm_delta.protected.case_007", "fsm_delta.protected.case_008"]

Produce the next complete implementation.

def transform(state):
    delta = (4, 3, 1, 5)
    return (state + delta[state & 3]) % 17


def transform(state):
    delta = (5, 3, 1, 4)
    return (state + delta[state & 3]) % 17

Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.

Task:
Repair the Python function transform(state) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.

Visible examples:
[{"input": 0, "output": 5}, {"input": 1, "output": 4}, {"input": 2, "output": 8}, {"input": 3, "output": 7}]

Current certified implementation:
```python
def transform(state):
    delta = (4, 3, 1, 4)
    return (state + delta[state & 3]) % 17
```

Sanitized verifier feedback:
passed_count=6
failed_count=6
failed_obligation_ids=["fsm_delta.protected.case_000", "fsm_delta.protected.case_001", "fsm_delta.protected.case_002", "fsm_delta.protected.case_006", "fsm_delta.protected.case_007", "fsm_delta.protected.case_008"]

Produce the next complete implementation.

def transform(state):
    delta = (5, 3, 1, 2)
    return (state + delta[state & 3]) % 17


def transform(state):
    delta = (5, 3, 1, 4)
    return (state + delta[state & 3]) % 17

Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.

Task:
Repair the Python function transform(state) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.

Visible examples:
[{"input": 0, "output": 5}, {"input": 1, "output": 4}, {"input": 2, "output": 8}, {"input": 3, "output": 7}]

Current certified implementation:
```python
def transform(state):
    delta = (4, 3, 1, 4)
    return (state + delta[state & 3]) % 17
```

Sanitized verifier feedback:
passed_count=6
failed_count=6
failed_obligation_ids=["fsm_delta.protected.case_000", "fsm_delta.protected.case_001", "fsm_delta.protected.case_002", "fsm_delta.protected.case_006", "fsm_delta.protected.case_007", "fsm_delta.protected.case_008"]

Produce the next complete implementation.

def transform(state):
    delta = (5, 3, 6, 2)
    return (state + delta[state & 3]) % 17


def transform(state):
    delta = (5, 3, 6, 4)
    return (state + delta[state & 3]) % 17

Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.

Task:
Repair the Python function transform(state) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.

Visible examples:
[{"input": 0, "output": 5}, {"input": 1, "output": 4}, {"input": 2, "output": 8}, {"input": 3, "output": 7}]

Current certified implementation:
```python
def transform(state):
    delta = (5, 3, 1, 4)
    return (state + delta[state & 3]) % 17
```

Sanitized verifier feedback:
passed_count=9
failed_count=3
failed_obligation_ids=["fsm_delta.protected.case_006", "fsm_delta.protected.case_007", "fsm_delta.protected.case_008"]

Produce the next complete implementation.

def transform(state):
    delta = (5, 3, 4, 4)
    return (state + delta[state & 3]) % 17


def transform(state):
    delta = (5, 3, 6, 4)
    return (state + delta[state & 3]) % 17

Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.

Task:
Repair the Python function transform(state) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.

Visible examples:
[{"input": 0, "output": 5}, {"input": 1, "output": 4}, {"input": 2, "output": 8}, {"input": 3, "output": 7}]

Current certified implementation:
```python
def transform(state):
    delta = (5, 3, 1, 4)
    return (state + delta[state & 3]) % 17
```

Sanitized verifier feedback:
passed_count=9
failed_count=3
failed_obligation_ids=["fsm_delta.protected.case_006", "fsm_delta.protected.case_007", "fsm_delta.protected.case_008"]

Produce the next complete implementation.

def transform(state):
    delta = (5, 3, 1, 5)
    return (state + delta[state & 3]) % 17


def transform(state):
    delta = (5, 3, 6, 4)
    return (state + delta[state & 3]) % 17

Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.

Task:
Repair the Python function transform(state) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.

Visible examples:
[{"input": 0, "output": 5}, {"input": 1, "output": 4}, {"input": 2, "output": 8}, {"input": 3, "output": 7}]

Current certified implementation:
```python
def transform(state):
    delta = (5, 3, 1, 4)
    return (state + delta[state & 3]) % 17
```

Sanitized verifier feedback:
passed_count=9
failed_count=3
failed_obligation_ids=["fsm_delta.protected.case_006", "fsm_delta.protected.case_007", "fsm_delta.protected.case_008"]

Produce the next complete implementation.

def transform(state):
    delta = (5, 3, 6, 6)
    return (state + delta[state & 3]) % 17


def transform(x):
    delta = (6, 5, 4, -4, -6, -4)
    return x + delta[abs(x) % 6]

Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.

Task:
Repair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.

Visible examples:
[{"input": 0, "output": 6}, {"input": 1, "output": -7}, {"input": 2, "output": 8}, {"input": 3, "output": 8}, {"input": 4, "output": -2}, {"input": 5, "output": 1}]

Current certified implementation:
```python
def transform(x):
    delta = (-1, 5, 4, -4, -6, -4)
    return x + delta[abs(x) % 6]
```

Sanitized verifier feedback:
passed_count=6
failed_count=12
failed_obligation_ids=["lookup_delta.protected.case_000", "lookup_delta.protected.case_001", "lookup_delta.protected.case_002", "lookup_delta.protected.case_003", "lookup_delta.protected.case_004", "lookup_delta.protected.case_005", "lookup_delta.protected.case_006", "lookup_delta.protected.case_007", "lookup_delta.protected.case_008", "lookup_delta.protected.case_009", "lookup_delta.protected.case_010", "lookup_delta.protected.case_011"]

Produce the next complete implementation.

def transform(x):
    delta = (-7, 5, 4, -4, -6, -4)
    return x + delta[abs(x) % 6]


def transform(x):
    delta = (6, 5, 4, -4, -6, -4)
    return x + delta[abs(x) % 6]

Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.

Task:
Repair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.

Visible examples:
[{"input": 0, "output": 6}, {"input": 1, "output": -7}, {"input": 2, "output": 8}, {"input": 3, "output": 8}, {"input": 4, "output": -2}, {"input": 5, "output": 1}]

Current certified implementation:
```python
def transform(x):
    delta = (-1, 5, 4, -4, -6, -4)
    return x + delta[abs(x) % 6]
```

Sanitized verifier feedback:
passed_count=6
failed_count=12
failed_obligation_ids=["lookup_delta.protected.case_000", "lookup_delta.protected.case_001", "lookup_delta.protected.case_002", "lookup_delta.protected.case_003", "lookup_delta.protected.case_004", "lookup_delta.protected.case_005", "lookup_delta.protected.case_006", "lookup_delta.protected.case_007", "lookup_delta.protected.case_008", "lookup_delta.protected.case_009", "lookup_delta.protected.case_010", "lookup_delta.protected.case_011"]

Produce the next complete implementation.

def transform(x):
    delta = (-1, 5, 4, -4, -6, 2)
    return x + delta[abs(x) % 6]


def transform(x):
    delta = (6, 5, 4, -4, -6, -4)
    return x + delta[abs(x) % 6]

Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.

Task:
Repair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.

Visible examples:
[{"input": 0, "output": 6}, {"input": 1, "output": -7}, {"input": 2, "output": 8}, {"input": 3, "output": 8}, {"input": 4, "output": -2}, {"input": 5, "output": 1}]

Current certified implementation:
```python
def transform(x):
    delta = (-1, 5, 4, -4, -6, -4)
    return x + delta[abs(x) % 6]
```

Sanitized verifier feedback:
passed_count=6
failed_count=12
failed_obligation_ids=["lookup_delta.protected.case_000", "lookup_delta.protected.case_001", "lookup_delta.protected.case_002", "lookup_delta.protected.case_003", "lookup_delta.protected.case_004", "lookup_delta.protected.case_005", "lookup_delta.protected.case_006", "lookup_delta.protected.case_007", "lookup_delta.protected.case_008", "lookup_delta.protected.case_009", "lookup_delta.protected.case_010", "lookup_delta.protected.case_011"]

Produce the next complete implementation.

def transform(x):
    delta = (6, 5, 4, -4, -6, 1)
    return x + delta[abs(x) % 6]


def transform(x):
    delta = (6, 5, 4, -4, -6, -4)
    return x + delta[abs(x) % 6]

Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.

Task:
Repair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.

Visible examples:
[{"input": 0, "output": 6}, {"input": 1, "output": -7}, {"input": 2, "output": 8}, {"input": 3, "output": 8}, {"input": 4, "output": -2}, {"input": 5, "output": 1}]

Current certified implementation:
```python
def transform(x):
    delta = (-1, 5, 4, -4, -6, -4)
    return x + delta[abs(x) % 6]
```

Sanitized verifier feedback:
passed_count=6
failed_count=12
failed_obligation_ids=["lookup_delta.protected.case_000", "lookup_delta.protected.case_001", "lookup_delta.protected.case_002", "lookup_delta.protected.case_003", "lookup_delta.protected.case_004", "lookup_delta.protected.case_005", "lookup_delta.protected.case_006", "lookup_delta.protected.case_007", "lookup_delta.protected.case_008", "lookup_delta.protected.case_009", "lookup_delta.protected.case_010", "lookup_delta.protected.case_011"]

Produce the next complete implementation.

def transform(x):
    delta = (6, -8, 4, -4, -6, -8)
    return x + delta[abs(x) % 6]


def transform(x):
    delta = (6, -8, 4, -4, -6, -4)
    return x + delta[abs(x) % 6]

Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.

Task:
Repair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.

Visible examples:
[{"input": 0, "output": 6}, {"input": 1, "output": -7}, {"input": 2, "output": 8}, {"input": 3, "output": 8}, {"input": 4, "output": -2}, {"input": 5, "output": 1}]

Current certified implementation:
```python
def transform(x):
    delta = (6, 5, 4, -4, -6, -4)
    return x + delta[abs(x) % 6]
```

Sanitized verifier feedback:
passed_count=9
failed_count=9
failed_obligation_ids=["lookup_delta.protected.case_003", "lookup_delta.protected.case_004", "lookup_delta.protected.case_005", "lookup_delta.protected.case_006", "lookup_delta.protected.case_007", "lookup_delta.protected.case_008", "lookup_delta.protected.case_009", "lookup_delta.protected.case_010", "lookup_delta.protected.case_011"]

Produce the next complete implementation.

def transform(x):
    delta = (6, -5, 4, -4, -6, -4)
    return x + delta[abs(x) % 6]