def transform(x):
    delta = (-7, -7, 1, -5, -7, -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": -7}, {"input": 1, "output": -6}, {"input": 2, "output": 3}, {"input": 3, "output": -2}, {"input": 4, "output": 6}, {"input": 5, "output": 0}]

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


def transform(x):
    delta = (-7, -7, 1, -5, 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": -7}, {"input": 1, "output": -6}, {"input": 2, "output": 3}, {"input": 3, "output": -2}, {"input": 4, "output": 6}, {"input": 5, "output": 0}]

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


def transform(x):
    delta = (-7, -7, 1, -5, 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": -7}, {"input": 1, "output": -6}, {"input": 2, "output": 3}, {"input": 3, "output": -2}, {"input": 4, "output": 6}, {"input": 5, "output": 0}]

Current certified implementation:
```python
def transform(x):
    delta = (-7, -7, 1, -5, -7, -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 = (-7, -7, 1, -3, -7, -5)
    return x + delta[abs(x) % 6]


def transform(x):
    delta = (-7, -7, 1, -5, 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": -7}, {"input": 1, "output": -6}, {"input": 2, "output": 3}, {"input": 3, "output": -2}, {"input": 4, "output": 6}, {"input": 5, "output": 0}]

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


def transform(x):
    masks = (2, 12, 5, 12)
    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": 13}, {"input": 2, "output": 8}, {"input": 3, "output": 2}]

Current certified implementation:
```python
def transform(x):
    masks = (2, 8, 5, 12)
    return x ^ masks[x & 3]
```

Sanitized verifier feedback:
passed_count=0
failed_count=12
failed_obligation_ids=["xor_mask.protected.case_000", "xor_mask.protected.case_001", "xor_mask.protected.case_002", "xor_mask.protected.case_003", "xor_mask.protected.case_004", "xor_mask.protected.case_005", "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 = (2, 15, 5, 12)
    return x ^ masks[x & 3]


def transform(x):
    masks = (9, 12, 5, 12)
    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": 13}, {"input": 2, "output": 8}, {"input": 3, "output": 2}]

Current certified implementation:
```python
def transform(x):
    masks = (2, 12, 5, 12)
    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, 12, 5, 12)
    return x ^ masks[x & 3]


def transform(x):
    masks = (9, 12, 5, 12)
    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": 13}, {"input": 2, "output": 8}, {"input": 3, "output": 2}]

Current certified implementation:
```python
def transform(x):
    masks = (2, 12, 5, 12)
    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 = (2, 1, 5, 12)
    return x ^ masks[x & 3]


def transform(x):
    masks = (9, 12, 5, 12)
    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": 13}, {"input": 2, "output": 8}, {"input": 3, "output": 2}]

Current certified implementation:
```python
def transform(x):
    masks = (2, 12, 5, 12)
    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, 14, 5, 12)
    return x ^ masks[x & 3]


def transform(x):
    masks = (9, 12, 5, 12)
    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": 13}, {"input": 2, "output": 8}, {"input": 3, "output": 2}]

Current certified implementation:
```python
def transform(x):
    masks = (2, 12, 5, 12)
    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, 5, 10, 12)
    return x ^ masks[x & 3]


def transform(x):
    masks = (9, 12, 10, 12)
    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": 13}, {"input": 2, "output": 8}, {"input": 3, "output": 2}]

Current certified implementation:
```python
def transform(x):
    masks = (9, 12, 5, 12)
    return x ^ masks[x & 3]
```

Sanitized verifier feedback:
passed_count=6
failed_count=6
failed_obligation_ids=["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, 12, 13, 12)
    return x ^ masks[x & 3]


def transform(x):
    masks = (9, 12, 10, 12)
    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": 13}, {"input": 2, "output": 8}, {"input": 3, "output": 2}]

Current certified implementation:
```python
def transform(x):
    masks = (9, 12, 5, 12)
    return x ^ masks[x & 3]
```

Sanitized verifier feedback:
passed_count=6
failed_count=6
failed_obligation_ids=["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, 15, 5, 12)
    return x ^ masks[x & 3]


def transform(x):
    masks = (9, 12, 10, 12)
    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": 13}, {"input": 2, "output": 8}, {"input": 3, "output": 2}]

Current certified implementation:
```python
def transform(x):
    masks = (9, 12, 5, 12)
    return x ^ masks[x & 3]
```

Sanitized verifier feedback:
passed_count=6
failed_count=6
failed_obligation_ids=["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, 11, 10, 12)
    return x ^ masks[x & 3]


def transform(x):
    masks = (9, 12, 10, 12)
    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": 13}, {"input": 2, "output": 8}, {"input": 3, "output": 2}]

Current certified implementation:
```python
def transform(x):
    masks = (9, 12, 5, 12)
    return x ^ masks[x & 3]
```

Sanitized verifier feedback:
passed_count=6
failed_count=6
failed_obligation_ids=["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, 14, 10, 1)
    return x ^ masks[x & 3]


def transform(x):
    masks = (9, 12, 10, 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": 13}, {"input": 2, "output": 8}, {"input": 3, "output": 2}]

Current certified implementation:
```python
def transform(x):
    masks = (9, 12, 10, 12)
    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, 12, 10, 4)
    return x ^ masks[x & 3]


def transform(x):
    masks = (9, 12, 10, 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": 13}, {"input": 2, "output": 8}, {"input": 3, "output": 2}]

Current certified implementation:
```python
def transform(x):
    masks = (9, 12, 10, 12)
    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, 13, 10, 12)
    return x ^ masks[x & 3]


def transform(x):
    masks = (9, 12, 10, 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": 13}, {"input": 2, "output": 8}, {"input": 3, "output": 2}]

Current certified implementation:
```python
def transform(x):
    masks = (9, 12, 10, 12)
    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, 6, 10, 1)
    return x ^ masks[x & 3]


def transform(x):
    table = (-4, 5, 0, -4, 0)
    return x + table[(abs(x) // 2) % 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": 2, "output": 2}, {"input": 4, "output": 4}, {"input": 6, "output": 2}, {"input": 8, "output": 6}]

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

Sanitized verifier feedback:
passed_count=6
failed_count=9
failed_obligation_ids=["signed_bucket.protected.case_003", "signed_bucket.protected.case_004", "signed_bucket.protected.case_005", "signed_bucket.protected.case_009", "signed_bucket.protected.case_010", "signed_bucket.protected.case_011", "signed_bucket.protected.case_012", "signed_bucket.protected.case_013", "signed_bucket.protected.case_014"]

Produce the next complete implementation.

def transform(x):
    table = (-4, 5, 0, 5, 0)
    return x + table[(abs(x) // 2) % 5]


def transform(x):
    table = (-4, 5, 0, -4, 0)
    return x + table[(abs(x) // 2) % 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": 2, "output": 2}, {"input": 4, "output": 4}, {"input": 6, "output": 2}, {"input": 8, "output": 6}]

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

Sanitized verifier feedback:
passed_count=6
failed_count=9
failed_obligation_ids=["signed_bucket.protected.case_003", "signed_bucket.protected.case_004", "signed_bucket.protected.case_005", "signed_bucket.protected.case_009", "signed_bucket.protected.case_010", "signed_bucket.protected.case_011", "signed_bucket.protected.case_012", "signed_bucket.protected.case_013", "signed_bucket.protected.case_014"]

Produce the next complete implementation.

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


def transform(x):
    table = (-4, 5, 0, -4, 0)
    return x + table[(abs(x) // 2) % 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": 2, "output": 2}, {"input": 4, "output": 4}, {"input": 6, "output": 2}, {"input": 8, "output": 6}]

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

Sanitized verifier feedback:
passed_count=6
failed_count=9
failed_obligation_ids=["signed_bucket.protected.case_003", "signed_bucket.protected.case_004", "signed_bucket.protected.case_005", "signed_bucket.protected.case_009", "signed_bucket.protected.case_010", "signed_bucket.protected.case_011", "signed_bucket.protected.case_012", "signed_bucket.protected.case_013", "signed_bucket.protected.case_014"]

Produce the next complete implementation.

def transform(x):
    table = (-2, 5, 0, -4, 0)
    return x + table[(abs(x) // 2) % 5]


def transform(x):
    table = (-4, 5, 0, -4, 0)
    return x + table[(abs(x) // 2) % 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": 2, "output": 2}, {"input": 4, "output": 4}, {"input": 6, "output": 2}, {"input": 8, "output": 6}]

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

Sanitized verifier feedback:
passed_count=6
failed_count=9
failed_obligation_ids=["signed_bucket.protected.case_003", "signed_bucket.protected.case_004", "signed_bucket.protected.case_005", "signed_bucket.protected.case_009", "signed_bucket.protected.case_010", "signed_bucket.protected.case_011", "signed_bucket.protected.case_012", "signed_bucket.protected.case_013", "signed_bucket.protected.case_014"]

Produce the next complete implementation.

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


def transform(x):
    table = (-4, 0, 0, -4, 0)
    return x + table[(abs(x) // 2) % 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": 2, "output": 2}, {"input": 4, "output": 4}, {"input": 6, "output": 2}, {"input": 8, "output": 6}]

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

Sanitized verifier feedback:
passed_count=9
failed_count=6
failed_obligation_ids=["signed_bucket.protected.case_003", "signed_bucket.protected.case_004", "signed_bucket.protected.case_005", "signed_bucket.protected.case_012", "signed_bucket.protected.case_013", "signed_bucket.protected.case_014"]

Produce the next complete implementation.

def transform(x):
    table = (-4, 2, 0, -4, 0)
    return x + table[(abs(x) // 2) % 5]


def transform(x):
    table = (-4, 0, 0, -4, 0)
    return x + table[(abs(x) // 2) % 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": 2, "output": 2}, {"input": 4, "output": 4}, {"input": 6, "output": 2}, {"input": 8, "output": 6}]

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

Sanitized verifier feedback:
passed_count=9
failed_count=6
failed_obligation_ids=["signed_bucket.protected.case_003", "signed_bucket.protected.case_004", "signed_bucket.protected.case_005", "signed_bucket.protected.case_012", "signed_bucket.protected.case_013", "signed_bucket.protected.case_014"]

Produce the next complete implementation.

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


def transform(x):
    table = (-4, 0, 0, -4, 0)
    return x + table[(abs(x) // 2) % 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": 2, "output": 2}, {"input": 4, "output": 4}, {"input": 6, "output": 2}, {"input": 8, "output": 6}]

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

Sanitized verifier feedback:
passed_count=9
failed_count=6
failed_obligation_ids=["signed_bucket.protected.case_003", "signed_bucket.protected.case_004", "signed_bucket.protected.case_005", "signed_bucket.protected.case_012", "signed_bucket.protected.case_013", "signed_bucket.protected.case_014"]

Produce the next complete implementation.

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


def transform(x):
    table = (-4, 0, 0, -4, 0)
    return x + table[(abs(x) // 2) % 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": 2, "output": 2}, {"input": 4, "output": 4}, {"input": 6, "output": 2}, {"input": 8, "output": 6}]

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

Sanitized verifier feedback:
passed_count=9
failed_count=6
failed_obligation_ids=["signed_bucket.protected.case_003", "signed_bucket.protected.case_004", "signed_bucket.protected.case_005", "signed_bucket.protected.case_012", "signed_bucket.protected.case_013", "signed_bucket.protected.case_014"]

Produce the next complete implementation.

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


def transform(x):
    table = (-4, 0, 0, -4, -2)
    return x + table[(abs(x) // 2) % 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": 2, "output": 2}, {"input": 4, "output": 4}, {"input": 6, "output": 2}, {"input": 8, "output": 6}]

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

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

Produce the next complete implementation.

def transform(x):
    table = (-4, 0, 0, -4, 2)
    return x + table[(abs(x) // 2) % 5]


def transform(x):
    table = (-4, 0, 0, -4, -2)
    return x + table[(abs(x) // 2) % 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": 2, "output": 2}, {"input": 4, "output": 4}, {"input": 6, "output": 2}, {"input": 8, "output": 6}]

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

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

Produce the next complete implementation.

def transform(x):
    table = (-4, 0, 0, -5, 0)
    return x + table[(abs(x) // 2) % 5]


def transform(x):
    table = (-4, 0, 0, -4, -2)
    return x + table[(abs(x) // 2) % 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": 2, "output": 2}, {"input": 4, "output": 4}, {"input": 6, "output": 2}, {"input": 8, "output": 6}]

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

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

Produce the next complete implementation.

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


def transform(x):
    delta = (3, 5, -4, 6, -8, -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": -7}, {"input": 1, "output": -3}, {"input": 2, "output": -2}, {"input": 3, "output": 9}, {"input": 4, "output": -1}, {"input": 5, "output": 10}]

Current certified implementation:
```python
def transform(x):
    delta = (3, 5, 0, 6, -8, -4)
    return x + delta[abs(x) % 6]
```

Sanitized verifier feedback:
passed_count=3
failed_count=15
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_012", "lookup_delta.protected.case_013", "lookup_delta.protected.case_014", "lookup_delta.protected.case_015", "lookup_delta.protected.case_016", "lookup_delta.protected.case_017"]

Produce the next complete implementation.

def transform(x):
    delta = (3, 5, -2, 6, -8, -4)
    return x + delta[abs(x) % 6]


def transform(x):
    delta = (3, 5, -4, 6, -8, -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": -7}, {"input": 1, "output": -3}, {"input": 2, "output": -2}, {"input": 3, "output": 9}, {"input": 4, "output": -1}, {"input": 5, "output": 10}]

Current certified implementation:
```python
def transform(x):
    delta = (3, 5, 0, 6, -8, -4)
    return x + delta[abs(x) % 6]
```

Sanitized verifier feedback:
passed_count=3
failed_count=15
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_012", "lookup_delta.protected.case_013", "lookup_delta.protected.case_014", "lookup_delta.protected.case_015", "lookup_delta.protected.case_016", "lookup_delta.protected.case_017"]

Produce the next complete implementation.

def transform(x):
    delta = (3, 5, 0, 8, -8, -4)
    return x + delta[abs(x) % 6]


def transform(x):
    delta = (3, 5, -4, 6, -8, -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": -7}, {"input": 1, "output": -3}, {"input": 2, "output": -2}, {"input": 3, "output": 9}, {"input": 4, "output": -1}, {"input": 5, "output": 10}]

Current certified implementation:
```python
def transform(x):
    delta = (3, 5, 0, 6, -8, -4)
    return x + delta[abs(x) % 6]
```

Sanitized verifier feedback:
passed_count=3
failed_count=15
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_012", "lookup_delta.protected.case_013", "lookup_delta.protected.case_014", "lookup_delta.protected.case_015", "lookup_delta.protected.case_016", "lookup_delta.protected.case_017"]

Produce the next complete implementation.

def transform(x):
    delta = (3, 5, -4, -3, -8, -4)
    return x + delta[abs(x) % 6]


def transform(x):
    delta = (3, 5, -4, 6, -8, -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": -7}, {"input": 1, "output": -3}, {"input": 2, "output": -2}, {"input": 3, "output": 9}, {"input": 4, "output": -1}, {"input": 5, "output": 10}]

Current certified implementation:
```python
def transform(x):
    delta = (3, 5, 0, 6, -8, -4)
    return x + delta[abs(x) % 6]
```

Sanitized verifier feedback:
passed_count=3
failed_count=15
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_012", "lookup_delta.protected.case_013", "lookup_delta.protected.case_014", "lookup_delta.protected.case_015", "lookup_delta.protected.case_016", "lookup_delta.protected.case_017"]

Produce the next complete implementation.

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


def transform(x):
    delta = (3, -4, -4, 6, -8, -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": -7}, {"input": 1, "output": -3}, {"input": 2, "output": -2}, {"input": 3, "output": 9}, {"input": 4, "output": -1}, {"input": 5, "output": 10}]

Current certified implementation:
```python
def transform(x):
    delta = (3, 5, -4, 6, -8, -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_012", "lookup_delta.protected.case_013", "lookup_delta.protected.case_014", "lookup_delta.protected.case_015", "lookup_delta.protected.case_016", "lookup_delta.protected.case_017"]

Produce the next complete implementation.

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


def transform(x):
    delta = (3, -4, -4, 6, -8, -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": -7}, {"input": 1, "output": -3}, {"input": 2, "output": -2}, {"input": 3, "output": 9}, {"input": 4, "output": -1}, {"input": 5, "output": 10}]

Current certified implementation:
```python
def transform(x):
    delta = (3, 5, -4, 6, -8, -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_012", "lookup_delta.protected.case_013", "lookup_delta.protected.case_014", "lookup_delta.protected.case_015", "lookup_delta.protected.case_016", "lookup_delta.protected.case_017"]

Produce the next complete implementation.

def transform(x):
    delta = (3, 5, -4, -3, -8, -4)
    return x + delta[abs(x) % 6]


def transform(x):
    delta = (3, -4, -4, 6, -8, -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": -7}, {"input": 1, "output": -3}, {"input": 2, "output": -2}, {"input": 3, "output": 9}, {"input": 4, "output": -1}, {"input": 5, "output": 10}]

Current certified implementation:
```python
def transform(x):
    delta = (3, 5, -4, 6, -8, -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_012", "lookup_delta.protected.case_013", "lookup_delta.protected.case_014", "lookup_delta.protected.case_015", "lookup_delta.protected.case_016", "lookup_delta.protected.case_017"]

Produce the next complete implementation.

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


def transform(x):
    delta = (3, -4, -4, 6, -8, -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": -7}, {"input": 1, "output": -3}, {"input": 2, "output": -2}, {"input": 3, "output": 9}, {"input": 4, "output": -1}, {"input": 5, "output": 10}]

Current certified implementation:
```python
def transform(x):
    delta = (3, 5, -4, 6, -8, -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_012", "lookup_delta.protected.case_013", "lookup_delta.protected.case_014", "lookup_delta.protected.case_015", "lookup_delta.protected.case_016", "lookup_delta.protected.case_017"]

Produce the next complete implementation.

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


def transform(x):
    delta = (3, -4, -4, 6, -5, -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": -7}, {"input": 1, "output": -3}, {"input": 2, "output": -2}, {"input": 3, "output": 9}, {"input": 4, "output": -1}, {"input": 5, "output": 10}]

Current certified implementation:
```python
def transform(x):
    delta = (3, -4, -4, 6, -8, -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_012", "lookup_delta.protected.case_013", "lookup_delta.protected.case_014", "lookup_delta.protected.case_015", "lookup_delta.protected.case_016", "lookup_delta.protected.case_017"]

Produce the next complete implementation.

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


def transform(x):
    delta = (3, -4, -4, 6, -5, -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": -7}, {"input": 1, "output": -3}, {"input": 2, "output": -2}, {"input": 3, "output": 9}, {"input": 4, "output": -1}, {"input": 5, "output": 10}]

Current certified implementation:
```python
def transform(x):
    delta = (3, -4, -4, 6, -8, -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_012", "lookup_delta.protected.case_013", "lookup_delta.protected.case_014", "lookup_delta.protected.case_015", "lookup_delta.protected.case_016", "lookup_delta.protected.case_017"]

Produce the next complete implementation.

def transform(x):
    delta = (3, -4, -7, 6, -8, -4)
    return x + delta[abs(x) % 6]


def transform(x):
    delta = (3, -4, -4, 6, -5, -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": -7}, {"input": 1, "output": -3}, {"input": 2, "output": -2}, {"input": 3, "output": 9}, {"input": 4, "output": -1}, {"input": 5, "output": 10}]

Current certified implementation:
```python
def transform(x):
    delta = (3, -4, -4, 6, -8, -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_012", "lookup_delta.protected.case_013", "lookup_delta.protected.case_014", "lookup_delta.protected.case_015", "lookup_delta.protected.case_016", "lookup_delta.protected.case_017"]

Produce the next complete implementation.

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


def transform(x):
    delta = (3, -4, -4, 6, -5, -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": -7}, {"input": 1, "output": -3}, {"input": 2, "output": -2}, {"input": 3, "output": 9}, {"input": 4, "output": -1}, {"input": 5, "output": 10}]

Current certified implementation:
```python
def transform(x):
    delta = (3, -4, -4, 6, -8, -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_012", "lookup_delta.protected.case_013", "lookup_delta.protected.case_014", "lookup_delta.protected.case_015", "lookup_delta.protected.case_016", "lookup_delta.protected.case_017"]

Produce the next complete implementation.

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


def transform(x):
    delta = (3, -4, -4, 6, -5, 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": -7}, {"input": 1, "output": -3}, {"input": 2, "output": -2}, {"input": 3, "output": 9}, {"input": 4, "output": -1}, {"input": 5, "output": 10}]

Current certified implementation:
```python
def transform(x):
    delta = (3, -4, -4, 6, -5, -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_015", "lookup_delta.protected.case_016", "lookup_delta.protected.case_017"]

Produce the next complete implementation.

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


def transform(x):
    delta = (3, -4, -4, 6, -5, 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": -7}, {"input": 1, "output": -3}, {"input": 2, "output": -2}, {"input": 3, "output": 9}, {"input": 4, "output": -1}, {"input": 5, "output": 10}]

Current certified implementation:
```python
def transform(x):
    delta = (3, -4, -4, 6, -5, -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_015", "lookup_delta.protected.case_016", "lookup_delta.protected.case_017"]

Produce the next complete implementation.

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


def transform(x):
    delta = (3, -4, -4, 6, -5, 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": -7}, {"input": 1, "output": -3}, {"input": 2, "output": -2}, {"input": 3, "output": 9}, {"input": 4, "output": -1}, {"input": 5, "output": 10}]

Current certified implementation:
```python
def transform(x):
    delta = (3, -4, -4, 6, -5, -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_015", "lookup_delta.protected.case_016", "lookup_delta.protected.case_017"]

Produce the next complete implementation.

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


def transform(x):
    delta = (3, -4, -4, 6, -5, 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": -7}, {"input": 1, "output": -3}, {"input": 2, "output": -2}, {"input": 3, "output": 9}, {"input": 4, "output": -1}, {"input": 5, "output": 10}]

Current certified implementation:
```python
def transform(x):
    delta = (3, -4, -4, 6, -5, -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_015", "lookup_delta.protected.case_016", "lookup_delta.protected.case_017"]

Produce the next complete implementation.

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


def transform(x):
    delta = (-7, -4, -4, 6, -5, 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": -7}, {"input": 1, "output": -3}, {"input": 2, "output": -2}, {"input": 3, "output": 9}, {"input": 4, "output": -1}, {"input": 5, "output": 10}]

Current certified implementation:
```python
def transform(x):
    delta = (3, -4, -4, 6, -5, 5)
    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, -4, -4, 6, -5, 5)
    return x + delta[abs(x) % 6]


def transform(x):
    delta = (-7, -4, -4, 6, -5, 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": -7}, {"input": 1, "output": -3}, {"input": 2, "output": -2}, {"input": 3, "output": 9}, {"input": 4, "output": -1}, {"input": 5, "output": 10}]

Current certified implementation:
```python
def transform(x):
    delta = (3, -4, -4, 6, -5, 5)
    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 = (3, 0, -4, 6, -5, 5)
    return x + delta[abs(x) % 6]


def transform(x):
    delta = (-7, -4, -4, 6, -5, 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": -7}, {"input": 1, "output": -3}, {"input": 2, "output": -2}, {"input": 3, "output": 9}, {"input": 4, "output": -1}, {"input": 5, "output": 10}]

Current certified implementation:
```python
def transform(x):
    delta = (3, -4, -4, 6, -5, 5)
    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, -8, -4, 6, -5, 5)
    return x + delta[abs(x) % 6]


def transform(x):
    if x < -6: return x + (6)
    if x < 0: return x + (-1)
    if x < 6: return x + (-4)
    return x + (-9)

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": -27, "output": -21}, {"input": -3, "output": -9}, {"input": 3, "output": -1}, {"input": 27, "output": 18}]

Current certified implementation:
```python
def transform(x):
    if x < -6: return x + (-5)
    if x < 0: return x + (-1)
    if x < 6: return x + (-4)
    return x + (-9)
```

Sanitized verifier feedback:
passed_count=6
failed_count=6
failed_obligation_ids=["piecewise_bias.protected.case_000", "piecewise_bias.protected.case_001", "piecewise_bias.protected.case_002", "piecewise_bias.protected.case_003", "piecewise_bias.protected.case_004", "piecewise_bias.protected.case_005"]

Produce the next complete implementation.

def transform(x):
    if x < -6: return x + (8)
    if x < 0: return x + (-1)
    if x < 6: return x + (-4)
    return x + (-9)


def transform(x):
    if x < -6: return x + (6)
    if x < 0: return x + (-1)
    if x < 6: return x + (-4)
    return x + (-9)

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": -27, "output": -21}, {"input": -3, "output": -9}, {"input": 3, "output": -1}, {"input": 27, "output": 18}]

Current certified implementation:
```python
def transform(x):
    if x < -6: return x + (-5)
    if x < 0: return x + (-1)
    if x < 6: return x + (-4)
    return x + (-9)
```

Sanitized verifier feedback:
passed_count=6
failed_count=6
failed_obligation_ids=["piecewise_bias.protected.case_000", "piecewise_bias.protected.case_001", "piecewise_bias.protected.case_002", "piecewise_bias.protected.case_003", "piecewise_bias.protected.case_004", "piecewise_bias.protected.case_005"]

Produce the next complete implementation.

def transform(x):
    if x < -6: return x + (-5)
    if x < 0: return x + (-1)
    if x < 6: return x + (-3)
    return x + (-9)


def transform(x):
    if x < -6: return x + (6)
    if x < 0: return x + (-1)
    if x < 6: return x + (-4)
    return x + (-9)

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": -27, "output": -21}, {"input": -3, "output": -9}, {"input": 3, "output": -1}, {"input": 27, "output": 18}]

Current certified implementation:
```python
def transform(x):
    if x < -6: return x + (-5)
    if x < 0: return x + (-1)
    if x < 6: return x + (-4)
    return x + (-9)
```

Sanitized verifier feedback:
passed_count=6
failed_count=6
failed_obligation_ids=["piecewise_bias.protected.case_000", "piecewise_bias.protected.case_001", "piecewise_bias.protected.case_002", "piecewise_bias.protected.case_003", "piecewise_bias.protected.case_004", "piecewise_bias.protected.case_005"]

Produce the next complete implementation.

def transform(x):
    if x < -6: return x + (6)
    if x < 0: return x + (-1)
    if x < 6: return x + (3)
    return x + (-9)


def transform(x):
    if x < -6: return x + (6)
    if x < 0: return x + (-1)
    if x < 6: return x + (-4)
    return x + (-9)

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": -27, "output": -21}, {"input": -3, "output": -9}, {"input": 3, "output": -1}, {"input": 27, "output": 18}]

Current certified implementation:
```python
def transform(x):
    if x < -6: return x + (-5)
    if x < 0: return x + (-1)
    if x < 6: return x + (-4)
    return x + (-9)
```

Sanitized verifier feedback:
passed_count=6
failed_count=6
failed_obligation_ids=["piecewise_bias.protected.case_000", "piecewise_bias.protected.case_001", "piecewise_bias.protected.case_002", "piecewise_bias.protected.case_003", "piecewise_bias.protected.case_004", "piecewise_bias.protected.case_005"]

Produce the next complete implementation.

def transform(x):
    if x < -6: return x + (6)
    if x < 0: return x + (-6)
    if x < 6: return x + (2)
    return x + (-9)


def transform(x):
    if x < -6: return x + (6)
    if x < 0: return x + (-6)
    if x < 6: return x + (-4)
    return x + (-9)

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": -27, "output": -21}, {"input": -3, "output": -9}, {"input": 3, "output": -1}, {"input": 27, "output": 18}]

Current certified implementation:
```python
def transform(x):
    if x < -6: return x + (6)
    if x < 0: return x + (-1)
    if x < 6: return x + (-4)
    return x + (-9)
```

Sanitized verifier feedback:
passed_count=9
failed_count=3
failed_obligation_ids=["piecewise_bias.protected.case_003", "piecewise_bias.protected.case_004", "piecewise_bias.protected.case_005"]

Produce the next complete implementation.

def transform(x):
    if x < -6: return x + (6)
    if x < 0: return x + (-9)
    if x < 6: return x + (-4)
    return x + (-9)


def transform(x):
    if x < -6: return x + (6)
    if x < 0: return x + (-6)
    if x < 6: return x + (-4)
    return x + (-9)

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": -27, "output": -21}, {"input": -3, "output": -9}, {"input": 3, "output": -1}, {"input": 27, "output": 18}]

Current certified implementation:
```python
def transform(x):
    if x < -6: return x + (6)
    if x < 0: return x + (-1)
    if x < 6: return x + (-4)
    return x + (-9)
```

Sanitized verifier feedback:
passed_count=9
failed_count=3
failed_obligation_ids=["piecewise_bias.protected.case_003", "piecewise_bias.protected.case_004", "piecewise_bias.protected.case_005"]

Produce the next complete implementation.

def transform(x):
    if x < -6: return x + (-7)
    if x < 0: return x + (-1)
    if x < 6: return x + (-4)
    return x + (-9)


def transform(x):
    if x < -6: return x + (6)
    if x < 0: return x + (-6)
    if x < 6: return x + (-4)
    return x + (-9)

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": -27, "output": -21}, {"input": -3, "output": -9}, {"input": 3, "output": -1}, {"input": 27, "output": 18}]

Current certified implementation:
```python
def transform(x):
    if x < -6: return x + (6)
    if x < 0: return x + (-1)
    if x < 6: return x + (-4)
    return x + (-9)
```

Sanitized verifier feedback:
passed_count=9
failed_count=3
failed_obligation_ids=["piecewise_bias.protected.case_003", "piecewise_bias.protected.case_004", "piecewise_bias.protected.case_005"]

Produce the next complete implementation.

def transform(x):
    if x < -6: return x + (-5)
    if x < 0: return x + (-6)
    if x < 6: return x + (-4)
    return x + (-9)


def transform(x):
    offsets = (6, -7, -7, 7, -1)
    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": 0}, {"input": 1, "output": -6}, {"input": 2, "output": -5}, {"input": 3, "output": 10}, {"input": -1, "output": -4}]

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

Sanitized verifier feedback:
passed_count=6
failed_count=9
failed_obligation_ids=["residue_bias.protected.case_000", "residue_bias.protected.case_001", "residue_bias.protected.case_002", "residue_bias.protected.case_003", "residue_bias.protected.case_004", "residue_bias.protected.case_005", "residue_bias.protected.case_012", "residue_bias.protected.case_013", "residue_bias.protected.case_014"]

Produce the next complete implementation.

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


def transform(x):
    offsets = (6, -7, -7, 7, -1)
    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": 0}, {"input": 1, "output": -6}, {"input": 2, "output": -5}, {"input": 3, "output": 10}, {"input": -1, "output": -4}]

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

Sanitized verifier feedback:
passed_count=6
failed_count=9
failed_obligation_ids=["residue_bias.protected.case_000", "residue_bias.protected.case_001", "residue_bias.protected.case_002", "residue_bias.protected.case_003", "residue_bias.protected.case_004", "residue_bias.protected.case_005", "residue_bias.protected.case_012", "residue_bias.protected.case_013", "residue_bias.protected.case_014"]

Produce the next complete implementation.

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


def transform(x):
    offsets = (6, -7, -7, 7, -1)
    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": 0}, {"input": 1, "output": -6}, {"input": 2, "output": -5}, {"input": 3, "output": 10}, {"input": -1, "output": -4}]

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

Sanitized verifier feedback:
passed_count=6
failed_count=9
failed_obligation_ids=["residue_bias.protected.case_000", "residue_bias.protected.case_001", "residue_bias.protected.case_002", "residue_bias.protected.case_003", "residue_bias.protected.case_004", "residue_bias.protected.case_005", "residue_bias.protected.case_012", "residue_bias.protected.case_013", "residue_bias.protected.case_014"]

Produce the next complete implementation.

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


def transform(x):
    offsets = (6, -7, -7, 7, -1)
    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": 0}, {"input": 1, "output": -6}, {"input": 2, "output": -5}, {"input": 3, "output": 10}, {"input": -1, "output": -4}]

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

Sanitized verifier feedback:
passed_count=6
failed_count=9
failed_obligation_ids=["residue_bias.protected.case_000", "residue_bias.protected.case_001", "residue_bias.protected.case_002", "residue_bias.protected.case_003", "residue_bias.protected.case_004", "residue_bias.protected.case_005", "residue_bias.protected.case_012", "residue_bias.protected.case_013", "residue_bias.protected.case_014"]

Produce the next complete implementation.

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


def transform(x):
    offsets = (6, -7, -7, 7, -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": 0}, {"input": 1, "output": -6}, {"input": 2, "output": -5}, {"input": 3, "output": 10}, {"input": -1, "output": -4}]

Current certified implementation:
```python
def transform(x):
    offsets = (6, -7, -7, 7, -1)
    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_012", "residue_bias.protected.case_013", "residue_bias.protected.case_014"]

Produce the next complete implementation.

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


def transform(x):
    offsets = (6, -7, -7, 7, -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": 0}, {"input": 1, "output": -6}, {"input": 2, "output": -5}, {"input": 3, "output": 10}, {"input": -1, "output": -4}]

Current certified implementation:
```python
def transform(x):
    offsets = (6, -7, -7, 7, -1)
    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_012", "residue_bias.protected.case_013", "residue_bias.protected.case_014"]

Produce the next complete implementation.

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


def transform(x):
    offsets = (6, -7, -7, 7, -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": 0}, {"input": 1, "output": -6}, {"input": 2, "output": -5}, {"input": 3, "output": 10}, {"input": -1, "output": -4}]

Current certified implementation:
```python
def transform(x):
    offsets = (6, -7, -7, 7, -1)
    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_012", "residue_bias.protected.case_013", "residue_bias.protected.case_014"]

Produce the next complete implementation.

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


def transform(x):
    offsets = (6, -7, -7, 7, -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": 0}, {"input": 1, "output": -6}, {"input": 2, "output": -5}, {"input": 3, "output": 10}, {"input": -1, "output": -4}]

Current certified implementation:
```python
def transform(x):
    offsets = (6, -7, -7, 7, -1)
    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_012", "residue_bias.protected.case_013", "residue_bias.protected.case_014"]

Produce the next complete implementation.

def transform(x):
    offsets = (0, 6, -7, 7, -3)
    return x + offsets[x % 5]


def transform(x):
    offsets = (0, -7, -7, 7, -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": 0}, {"input": 1, "output": -6}, {"input": 2, "output": -5}, {"input": 3, "output": 10}, {"input": -1, "output": -4}]

Current certified implementation:
```python
def transform(x):
    offsets = (6, -7, -7, 7, -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 = (7, -7, -7, 7, -3)
    return x + offsets[x % 5]


def transform(x):
    offsets = (0, -7, -7, 7, -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": 0}, {"input": 1, "output": -6}, {"input": 2, "output": -5}, {"input": 3, "output": 10}, {"input": -1, "output": -4}]

Current certified implementation:
```python
def transform(x):
    offsets = (6, -7, -7, 7, -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 = (6, -5, -7, 7, -3)
    return x + offsets[x % 5]


def transform(x):
    offsets = (0, -7, -7, 7, -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": 0}, {"input": 1, "output": -6}, {"input": 2, "output": -5}, {"input": 3, "output": 10}, {"input": -1, "output": -4}]

Current certified implementation:
```python
def transform(x):
    offsets = (6, -7, -7, 7, -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 = (0, 3, -7, 7, -3)
    return x + offsets[x % 5]


def transform(x):
    masks = (4, 3, 14, 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": 3}, {"input": 1, "output": 0}, {"input": 2, "output": 3}, {"input": 3, "output": 0}]

Current certified implementation:
```python
def transform(x):
    masks = (4, 3, 14, 10)
    return x ^ masks[x & 3]
```

Sanitized verifier feedback:
passed_count=0
failed_count=12
failed_obligation_ids=["xor_mask.protected.case_000", "xor_mask.protected.case_001", "xor_mask.protected.case_002", "xor_mask.protected.case_003", "xor_mask.protected.case_004", "xor_mask.protected.case_005", "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 = (4, 3, 14, 11)
    return x ^ masks[x & 3]


def transform(x):
    masks = (4, 1, 14, 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": 3}, {"input": 1, "output": 0}, {"input": 2, "output": 3}, {"input": 3, "output": 0}]

Current certified implementation:
```python
def transform(x):
    masks = (4, 3, 14, 3)
    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_003", "xor_mask.protected.case_004", "xor_mask.protected.case_005", "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, 9, 14, 3)
    return x ^ masks[x & 3]


def transform(x):
    masks = (4, 1, 14, 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": 3}, {"input": 1, "output": 0}, {"input": 2, "output": 3}, {"input": 3, "output": 0}]

Current certified implementation:
```python
def transform(x):
    masks = (4, 3, 14, 3)
    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_003", "xor_mask.protected.case_004", "xor_mask.protected.case_005", "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, 3, 14, 11)
    return x ^ masks[x & 3]


def transform(x):
    masks = (4, 1, 14, 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": 3}, {"input": 1, "output": 0}, {"input": 2, "output": 3}, {"input": 3, "output": 0}]

Current certified implementation:
```python
def transform(x):
    masks = (4, 3, 14, 3)
    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_003", "xor_mask.protected.case_004", "xor_mask.protected.case_005", "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, 1, 14, 9)
    return x ^ masks[x & 3]


def transform(x):
    masks = (4, 1, 14, 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": 3}, {"input": 1, "output": 0}, {"input": 2, "output": 3}, {"input": 3, "output": 0}]

Current certified implementation:
```python
def transform(x):
    masks = (4, 3, 14, 3)
    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_003", "xor_mask.protected.case_004", "xor_mask.protected.case_005", "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, 1, 14, 10)
    return x ^ masks[x & 3]


def transform(x):
    masks = (3, 1, 14, 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": 3}, {"input": 1, "output": 0}, {"input": 2, "output": 3}, {"input": 3, "output": 0}]

Current certified implementation:
```python
def transform(x):
    masks = (4, 1, 14, 3)
    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, 1, 14, 3)
    return x ^ masks[x & 3]


def transform(x):
    masks = (3, 1, 14, 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": 3}, {"input": 1, "output": 0}, {"input": 2, "output": 3}, {"input": 3, "output": 0}]

Current certified implementation:
```python
def transform(x):
    masks = (4, 1, 14, 3)
    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, 10, 14, 3)
    return x ^ masks[x & 3]


def transform(x):
    masks = (3, 1, 14, 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": 3}, {"input": 1, "output": 0}, {"input": 2, "output": 3}, {"input": 3, "output": 0}]

Current certified implementation:
```python
def transform(x):
    masks = (4, 1, 14, 3)
    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, 11, 14, 3)
    return x ^ masks[x & 3]


def transform(x):
    masks = (3, 1, 14, 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": 3}, {"input": 1, "output": 0}, {"input": 2, "output": 3}, {"input": 3, "output": 0}]

Current certified implementation:
```python
def transform(x):
    masks = (4, 1, 14, 3)
    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, 4, 1, 3)
    return x ^ masks[x & 3]


def transform(x):
    masks = (3, 1, 1, 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": 3}, {"input": 1, "output": 0}, {"input": 2, "output": 3}, {"input": 3, "output": 0}]

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


def transform(x):
    masks = (3, 1, 1, 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": 3}, {"input": 1, "output": 0}, {"input": 2, "output": 3}, {"input": 3, "output": 0}]

Current certified implementation:
```python
def transform(x):
    masks = (3, 1, 14, 3)
    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 = (4, 1, 14, 3)
    return x ^ masks[x & 3]


def transform(x):
    masks = (3, 1, 1, 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": 3}, {"input": 1, "output": 0}, {"input": 2, "output": 3}, {"input": 3, "output": 0}]

Current certified implementation:
```python
def transform(x):
    masks = (3, 1, 14, 3)
    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 = (7, 1, 1, 3)
    return x ^ masks[x & 3]


def transform(x):
    offsets = (-2, 7, -2, 4, 5)
    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": 1}, {"input": 1, "output": 2}, {"input": 2, "output": 1}, {"input": 3, "output": 7}, {"input": -1, "output": 1}]

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

Sanitized verifier feedback:
passed_count=0
failed_count=15
failed_obligation_ids=["residue_bias.protected.case_000", "residue_bias.protected.case_001", "residue_bias.protected.case_002", "residue_bias.protected.case_003", "residue_bias.protected.case_004", "residue_bias.protected.case_005", "residue_bias.protected.case_006", "residue_bias.protected.case_007", "residue_bias.protected.case_008", "residue_bias.protected.case_009", "residue_bias.protected.case_010", "residue_bias.protected.case_011", "residue_bias.protected.case_012", "residue_bias.protected.case_013", "residue_bias.protected.case_014"]

Produce the next complete implementation.

def transform(x):
    offsets = (-2, 7, -2, -8, 5)
    return x + offsets[x % 5]


def transform(x):
    offsets = (1, 7, -2, 4, 5)
    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": 1}, {"input": 1, "output": 2}, {"input": 2, "output": 1}, {"input": 3, "output": 7}, {"input": -1, "output": 1}]

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

Sanitized verifier feedback:
passed_count=3
failed_count=12
failed_obligation_ids=["residue_bias.protected.case_000", "residue_bias.protected.case_001", "residue_bias.protected.case_002", "residue_bias.protected.case_003", "residue_bias.protected.case_004", "residue_bias.protected.case_005", "residue_bias.protected.case_006", "residue_bias.protected.case_007", "residue_bias.protected.case_008", "residue_bias.protected.case_012", "residue_bias.protected.case_013", "residue_bias.protected.case_014"]

Produce the next complete implementation.

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