问题

### Instructions: You are an expert Python programmer. You will be given a question (problem specification) and will generate a correct Python program that matches the specification and passes all tests. You will NOT return anything except for the program.
### Question:
You are given a 0-indexed 2D array variables where variables[i] = [a_i, b_i, c_i, m_i], and an integer target.
An index i is good if the following formula holds:

0 <= i < variables.length
((a_i^bi % 10)^ci) % m_i == target

Return an array consisting of good indices in any order.

Example 1:

Input: variables = [[2,3,3,10],[3,3,3,1],[6,1,1,4]], target = 2
Output: [0,2]
Explanation: For each index i in the variables array:
1) For the index 0, variables[0] = [2,3,3,10], (2^3 % 10)^3 % 10 = 2.
2) For the index 1, variables[1] = [3,3,3,1], (3^3 % 10)^3 % 1 = 0.
3) For the index 2, variables[2] = [6,1,1,4], (6^1 % 10)^1 % 4 = 2.
Therefore we return [0,2] as the answer.

Example 2:

Input: variables = [[39,3,1000,1000]], target = 17
Output: []
Explanation: For each index i in the variables array:
1) For the index 0, variables[0] = [39,3,1000,1000], (39^3 % 10)^1000 % 1000 = 1.
Therefore we return [] as the answer.


Constraints:

1 <= variables.length <= 100
variables[i] == [a_i, b_i, c_i, m_i]
1 <= a_i, b_i, c_i, m_i <= 10^3
0 <= target <= 10^3

### Format: You will use the following starter code to write the solution to the problem and enclose your code within delimiters.
```python
class Solution:
def getGoodIndices(self, variables: List[List[int]], target: int) -> List[int]:

```

### Answer: (use the provided format with backticks)

答案

模型 模型答案 正确答案
金声玉亮2.0 ```python
from typing import List

class Solution:
def getGoodIndices(self, variables: List[List[int]], target: int) -> List[int]:
good_indices = []
for i, (a, b, c, m) in enumerate(variables):
if ((a ** b % 10) ** c % m) == target:
good_indices.append(i)
return good_indices
```		 [{"input": "[[2, 3, 3, 10], [3, 3, 3, 1], [6, 1, 1, 4]]\n2", "output": "[0, 2]", "testtype": "functional"}, {"input": "[[39, 3, 1000, 1000]]\n17", "output": "[]", "testtype": "functional"}]
deepseek-r1

```python
from typing import List

class Solution:
def getGoodIndices(self, variables: List[List[int]], target: int) -> List[int]:
good_indices = []
for idx, (a, b, c, m) in enumerate(variables):
mod_10 = pow(a, b, 10)
result = pow(mod_10, c, m)
if result == target:
good_indices.append(idx)
return good_indices
```		 [{"input": "[[2, 3, 3, 10], [3, 3, 3, 1], [6, 1, 1, 4]]\n2", "output": "[0, 2]", "testtype": "functional"}, {"input": "[[39, 3, 1000, 1000]]\n17", "output": "[]", "testtype": "functional"}]
gpto1 ```python
class Solution:
def getGoodIndices(self, variables: List[List[int]], target: int) -> List[int]:
ans = []
for i, (a_i, b_i, c_i, m_i) in enumerate(variables):
x = pow(a_i, b_i, 10)
temp = pow(x, c_i, m_i)
if temp == target:
ans.append(i)
return ans
```		 [{"input": "[[2, 3, 3, 10], [3, 3, 3, 1], [6, 1, 1, 4]]\n2", "output": "[0, 2]", "testtype": "functional"}, {"input": "[[39, 3, 1000, 1000]]\n17", "output": "[]", "testtype": "functional"}]
gpt-4o-2024-08-06 ```python
class Solution:
def getGoodIndices(self, variables: List[List[int]], target: int) -> List[int]:
good_indices = []
for i, (a, b, c, m) in enumerate(variables):
# Calculate (a^b % 10)
mod1 = pow(a, b, 10)
# Calculate (mod1^c % m)
result = pow(mod1, c, m)
# Check if the result equals the target
if result == target:
good_indices.append(i)
return good_indices
```		 [{"input": "[[2, 3, 3, 10], [3, 3, 3, 1], [6, 1, 1, 4]]\n2", "output": "[0, 2]", "testtype": "functional"}, {"input": "[[39, 3, 1000, 1000]]\n17", "output": "[]", "testtype": "functional"}]
DeepSeek-Coder-V2-Lite-Instruct ```python
from typing import List

class Solution:
def getGoodIndices(self, variables: List[List[int]], target: int) -> List[int]:
good_indices = []
for i, (a_i, b_i, c_i, m_i) in enumerate(variables):
result = pow(pow(a_i, b_i, 10), c_i, m_i)
if result == target:
good_indices.append(i)
return good_indices
```		 [{"input": "[[2, 3, 3, 10], [3, 3, 3, 1], [6, 1, 1, 4]]\n2", "output": "[0, 2]", "testtype": "functional"}, {"input": "[[39, 3, 1000, 1000]]\n17", "output": "[]", "testtype": "functional"}]
Meta-Llama-3.1-405B-Instruct-Turbo ```python
from typing import List

class Solution:
def getGoodIndices(self, variables: List[List[int]], target: int) -> List[int]:
good_indices = []
for i, var in enumerate(variables):
a, b, c, m = var
if pow(pow(a, b, 10), c, m) == target:
good_indices.append(i)
return good_indices
```		 [{"input": "[[2, 3, 3, 10], [3, 3, 3, 1], [6, 1, 1, 4]]\n2", "output": "[0, 2]", "testtype": "functional"}, {"input": "[[39, 3, 1000, 1000]]\n17", "output": "[]", "testtype": "functional"}]
Meta-Llama-3.1-70B-Instruct-Turbo ```python
class Solution:
def getGoodIndices(self, variables: List[List[int]], target: int) -> List[int]:
def pow_mod(a, b, m):
res = 1
while b > 0:
if b % 2 == 1:
res = (res * a) % m
a = (a * a) % m
b //= 2
return res

good_indices = []
for i, (a, b, c, m) in enumerate(variables):
if pow_mod(pow_mod(a, b, 10), c, m) == target:
good_indices.append(i)
return good_indices
```		 [{"input": "[[2, 3, 3, 10], [3, 3, 3, 1], [6, 1, 1, 4]]\n2", "output": "[0, 2]", "testtype": "functional"}, {"input": "[[39, 3, 1000, 1000]]\n17", "output": "[]", "testtype": "functional"}]
Qwen2-72B-Instruct ```python
class Solution:
def getGoodIndices(self, variables: List[List[int]], target: int) -> List[int]:
res = []
for i, var in enumerate(variables):
a, b, c, m = var
if pow(pow(a, b, 10), c, m) == target:
res.append(i)
return res
```		 [{"input": "[[2, 3, 3, 10], [3, 3, 3, 1], [6, 1, 1, 4]]\n2", "output": "[0, 2]", "testtype": "functional"}, {"input": "[[39, 3, 1000, 1000]]\n17", "output": "[]", "testtype": "functional"}]
baichuan4 ```python
from typing import List

class Solution:
def getGoodIndices(self, variables: List[List[int]], target: int) -> List[int]:
good_indices = []
for i, (a, b, c, m) in enumerate(variables):
if ((pow(a, b, 10) ** c) % m) == target:
good_indices.append(i)
return good_indices
```		 [{"input": "[[2, 3, 3, 10], [3, 3, 3, 1], [6, 1, 1, 4]]\n2", "output": "[0, 2]", "testtype": "functional"}, {"input": "[[39, 3, 1000, 1000]]\n17", "output": "[]", "testtype": "functional"}]
doubao ```python
class Solution:
def getGoodIndices(self, variables: List[List[int]], target: int) -> List[int]:
result = []
for i in range(len(variables)):
a, b, c, m = variables[i]
if ((a ** b % 10) ** c) % m == target:
result.append(i)
return result
```		 [{"input": "[[2, 3, 3, 10], [3, 3, 3, 1], [6, 1, 1, 4]]\n2", "output": "[0, 2]", "testtype": "functional"}, {"input": "[[39, 3, 1000, 1000]]\n17", "output": "[]", "testtype": "functional"}]
gpto1 ```python
class Solution:
def getGoodIndices(self, variables: List[List[int]], target: int) -> List[int]:
ans = []
for i, (a_i, b_i, c_i, m_i) in enumerate(variables):
x = pow(a_i, b_i, 10)
temp = pow(x, c_i, m_i)
if temp == target:
ans.append(i)
return ans
```		 [{"input": "[[2, 3, 3, 10], [3, 3, 3, 1], [6, 1, 1, 4]]\n2", "output": "[0, 2]", "testtype": "functional"}, {"input": "[[39, 3, 1000, 1000]]\n17", "output": "[]", "testtype": "functional"}]
kimi ```python
class Solution:
def getGoodIndices(self, variables: List[List[int]], target: int) -> List[int]:
good_indices = []
for i in range(len(variables)):
a, b, c, m = variables[i]
base = pow(a, b, 10)
result = pow(base, c, m)
if result == target:
good_indices.append(i)
return good_indices
```		 [{"input": "[[2, 3, 3, 10], [3, 3, 3, 1], [6, 1, 1, 4]]\n2", "output": "[0, 2]", "testtype": "functional"}, {"input": "[[39, 3, 1000, 1000]]\n17", "output": "[]", "testtype": "functional"}]
minimax ```python
from typing import List

class Solution:
def getGoodIndices(self, variables: List[List[int]], target: int) -> List[int]:
good_indices = []
for i, (a, b, c, m) in enumerate(variables):
result = ((a ** b) % 10) ** c % m
if result == target:
good_indices.append(i)
return good_indices
```		 [{"input": "[[2, 3, 3, 10], [3, 3, 3, 1], [6, 1, 1, 4]]\n2", "output": "[0, 2]", "testtype": "functional"}, {"input": "[[39, 3, 1000, 1000]]\n17", "output": "[]", "testtype": "functional"}]
wenxinyiyan ```python
from typing import List

class Solution:
def getGoodIndices(self, variables: List[List[int]], target: int) -> List[int]:
good_indices = []

for i, var in enumerate(variables):
a, b, c, m = var
result = ((a ** b % 10) ** c) % m
if result == target:
good_indices.append(i)

return good_indices
```
This solution iterates through each variable in the `variables` list using the `enumerate` function to keep track of the index `i`. For each variable, it unpacks the values `a, b, c, m` and calculates the result of the given formula `((a ** b % 10) ** c) % m`. If the result matches the `target`, the index `i` is appended to the `good_indices` list. Finally, the `good_indices` list is returned as the output.		 [{"input": "[[2, 3, 3, 10], [3, 3, 3, 1], [6, 1, 1, 4]]\n2", "output": "[0, 2]", "testtype": "functional"}, {"input": "[[39, 3, 1000, 1000]]\n17", "output": "[]", "testtype": "functional"}]
zhipu ```python
class Solution:
def getGoodIndices(self, variables: List[List[int]], target: int) -> List[int]:
good_indices = []
for i, (a, b, c, m) in enumerate(variables):
if ((pow(a, b, 10) ** c) % m) == target:
good_indices.append(i)
return good_indices
```		 [{"input": "[[2, 3, 3, 10], [3, 3, 3, 1], [6, 1, 1, 4]]\n2", "output": "[0, 2]", "testtype": "functional"}, {"input": "[[39, 3, 1000, 1000]]\n17", "output": "[]", "testtype": "functional"}]
deepseek-v3 ```python
class Solution:
def getGoodIndices(self, variables: List[List[int]], target: int) -> List[int]:
good_indices = []
for i, (a, b, c, m) in enumerate(variables):
# Calculate a^b mod 10
ab_mod = pow(a, b, 10)
# Calculate (ab_mod)^c mod m
result = pow(ab_mod, c, m)
if result == target:
good_indices.append(i)
return good_indices
```		 [{"input": "[[2, 3, 3, 10], [3, 3, 3, 1], [6, 1, 1, 4]]\n2", "output": "[0, 2]", "testtype": "functional"}, {"input": "[[39, 3, 1000, 1000]]\n17", "output": "[]", "testtype": "functional"}]