Mbpp/739

 """
Write a python function to find the index of smallest triangular number with n digits. 
assert find_Index(2) == 4
"""
 

solution

 
import math 
def find_Index(n): 
    x = math.sqrt(2 * math.pow(10,(n - 1)))
    return round(x)
 

base input

 [[2], [3], [4]] 

plus input

 [[5], [1], [100], [2], [4], [6], [99], [101], [True], [3], [98], [7], [8], [9], [10], [57], [12], [11], [13], [91], [102], [14], [90], [56], [54], [97], [55], [53], [103], [52], [94], [92], [104], [58], [15], [95], [16], [51], [93], [59], [17], [96], [83], [82], [89], [18], [60], [84], [19], [62], [50], [42], [61], [49], [48], [88], [81], [106], [41], [40], [105], [85], [20], [21], [67], [68], [80], [69], [29], [86], [22], [25], [39], [47], [63], [46], [30], [28], [26], [23], [43], [64], [87], [38], [65], [44], [27], [79], [66], [31], [107], [45], [108], [70], [24], [109], [78], [33], [77], [110], [111], [32], [71]] 

Generations

code-llama-multi-7b. fail_base: True, fail_plus: True

  """
Write a python function to find the index of smallest triangular number with n digits. https://www.geeksforgeeks.org/index-of-smallest-triangular-number-with-n-digits/
assert find_Index(2) == 4
"""


def find_Index(n):
    """
    Find the index of smallest triangular number with n digits.
    :param n: number of digits
    :return: index of smallest triangular number with n digits
    """
    if n == 1:
        return 1
    if n == 2:
        return 3
    if n == 3:
        return 6
    if n == 4:
        return 10
    if n == 5:
        return 15
    if n == 6:
        return 21
    if n == 7:
        return 28
    if n == 8:
        return 36
    if n == 9:
        return 45
    if n == 10:
        return 55
    if n == 11:
        return 66
    if n == 12:
        return 78
    if n == 13:
        return 91
    if n == 14:
        return 105
    if n == 15:
        return 120
    if n == 16:
        return 136
    if n == 17:
        return 153
    if n == 18:
        return 171
    if n == 19:
        return 189
    if n == 20:
        return 209
    if n == 21:
        return 229
    if n == 22:
        return 249
    if n == 23:
        return 269
    if n == 24:
        return 291
    if n == 25:
        return 315
    if n == 26:
        return 341
    if n == 27:
        return 368
    if n == 28:
        return 396
    if n == 29:
        return 425
    if n == 30:
        return 456
    if n ==

databricks--dbrx-instruct. fail_base: True, fail_plus: True

  def find_index(n):
    """
    Find the index of the smallest triangular number with n digits.

    :param n: int - number of digits
    :return: int - index of the smallest triangular number with n digits
    """
    if n < 1 or type(n) != int:
        raise ValueError("Input must be a positive integer")

    triangular_numbers = []
    i = 0
    while True:
        triangular_number = sum(range(i + 1))
        if len(str(triangular_number)) == n:
            triangular_numbers.append(triangular_number)
            break
        elif len(str(triangular_number)) > n:
            break
        i += 1

    return triangular_numbers[0]

# Test the function
assert find_index(2) == 4

CohereForAI--c4ai-command-r-plus. fail_base: True, fail_plus: True

  def find_Index(n):
    def is_triangular(num):
        return num * (num + 1) // 2

    num = 10 ** (n - 1) - 1
    while True:
        if is_triangular(num):
            return num
        num += 1
```

claude-3-haiku-20240307. fail_base: False, fail_plus: True

  Here's the solution wrapped in a Python markdown block:

```python
def find_Index(n):
    """
    Find the index of the smallest triangular number with n digits.
    
    Args:
        n (int): The number of digits.
    
    Returns:
        int: The index of the smallest triangular number with n digits.
    """
    i = 1
    while True:
        triangular_num = (i * (i + 1)) // 2
        if len(str(triangular_num)) == n:
            return i
        elif len(str(triangular_num)) > n:
            return i - 1
        i += 1

code-millenials-34b. fail_base: False, fail_plus: True

  def find_Index(n):
    # Initialize result
    result = 0
 
    # Find first triangular number with n digits
    while True:
        result += 1
        if len(str(result*(result+1)//2)) == n:
            return result

# Test the function
assert find_Index(2) == 4

dolphin-2.6. fail_base: True, fail_plus: True

  """
Write a python function to find the index of smallest triangular number with n digits. https://www.geeksforgeeks.org/index-of-smallest-triangular-number-with-n-digits/
assert find_Index(2) == 4
"""
def find_Index(n):
    # Calculate the smallest triangular number with n digits
    triangular_numbers = []
    num = 1
    while len(str(num)) < n:
        triangular_numbers.append(num)
        num += 1
    smallest_triangular_number = min(triangular_numbers)

    # Calculate the index of the smallest triangular number
    index = 0
    for i in range(len(triangular_numbers)):
        if triangular_numbers[i] == smallest_triangular_number:
            index = i
            break

    return index

# Test the function
assert find_Index(2) == 4

claude-3-opus-20240229. fail_base: False, fail_plus: True

  Here's the Python code to find the index of the smallest triangular number with n digits, wrapped in a Python markdown block:

```python
"""
Write a python function to find the index of smallest triangular number with n digits. https://www.geeksforgeeks.org/index-of-smallest-triangular-number-with-n-digits/
assert find_Index(2) == 4
"""

def find_Index(n):
    # Initialize variables
    index = 1
    triangular_num = 1
    
    # Iterate until the triangular number has n digits
    while len(str(triangular_num)) < n:
        index += 1
        triangular_num += index
    
    return index

# Test the function
assert find_Index(2) == 4

mixtral-8x7b-instruct. fail_base: True, fail_plus: True

  def is_n_digit(n, triangular_number):
    """Return True if triangular number has n digits, else False"""
    return len(str(triangular_number)) == n

wizardcoder-34b. fail_base: False, fail_plus: True

  Here's the Python function to find the index of the smallest triangular number with n digits:


```python
def find_Index(n):
    """
    This function finds the index of the smallest triangular number with n digits.
    """
    # Initialize variables
    count = 0
    i = 1
    
    # Loop until the number of digits of triangular number is n
    while True:
        count += 1
        triangular_num = (count * (count + 1)) // 2
        
        # Check if the number of digits of triangular number is n
        if len(str(triangular_num)) == n:
            return count
        
        # If the number of digits of triangular number is greater than n, return the previous index
        elif len(str(triangular_num)) > n:
            return count - 1
        
        # Increment the count
        i += 1
```

We can test the function with the given assertion:

```python
assert find_Index(2) == 4
```

This will return True since the smallest triangular number with 2 digits is 3 (1 + 2 = 3) and its index is 4. 

mixtral-8x22b-instruct-v0.1. fail_base: True, fail_plus: True

  def find_index(n):
    """
    Find the index of the smallest triangular number with n digits.

    A triangular number is a number that is the sum of the first n natural numbers.
    For example, the first few triangular numbers are 1, 3, 6, 10, 15, 21, 28, 36, 45, 55, ...

    The index of a triangular number is its position in the sequence of triangular numbers.
    For example, the index of the triangular number 10 is 4, because it is the 4th triangular number.

    The function find_index(n) returns the index of the smallest triangular number with n digits.
    For example, find_index(2) returns 4, because the smallest triangular number with 2 digits is 10,
    and its index is 4.

    The function uses a binary search algorithm to find the index of the smallest triangular number with n digits.
    The binary search algorithm works by repeatedly dividing the search interval in half.
    If the value of the triangular number at the midpoint of the interval is less than 10^(n-1),
    then the index of the smallest triangular number with n digits is in the right half of the interval.
    Otherwise, it is in the left half of the interval.
    The binary search algorithm continues until the search interval is empty.

    The function find_index(n) returns the index of the smallest triangular number with n digits.
    """
    # Initialize the search interval
    left = 1
    right = 10**n

    # Binary search algorithm
    while left < right:
        mid = (left + right) // 2
        triangular_number = mid * (mid + 1) // 2
        if triangular_number < 10**(n-1):
            left = mid + 1
        else:
            right = mid

    # Return the index of the smallest triangular number with n digits
    return left

# Test the function
assert find_index(2) == 4

code-llama-multi-34b. fail_base: True, fail_plus: True

  """
Write a python function to find the index of smallest triangular number with n digits. https://www.geeksforgeeks.org/index-of-smallest-triangular-number-with-n-digits/
assert find_Index(2) == 4
"""

def find_Index(n):
    if n == 1:
        return 1
    else:
        return find_Index(n-1) + 9 * (10 ** (n-1))


if __name__ == "__main__":
    assert find_Index(2) == 4

Qwen--Qwen1.5-72B-Chat. fail_base: True, fail_plus: True

  def is_triangular(n):
    i = 1
    triangular_number = 1
    while triangular_number < n:
        i += 1
        triangular_number += i
    return triangular_number == n

def find_Index(n):
    i = 1
    index = 1
    while True:
        if is_triangular(index):
            i += 1
        if i == n:
            return index
        index += 1

# Test cases
assert find_Index(2) == 4
assert find_Index(3) == 10
assert find_Index(4) == 49

mistral-large-latest. fail_base: False, fail_plus: True

  Sure, here is the Python code to solve the problem:

```python
import math

def find_Index(n):
    # Initialize result
    res = 0

    # Run a loop until number of digits
    # in res become n
    while(True):

        # Update res
        res += 1

        # Check if number of digits
        # in res are n or not
        if (math.floor(math.log10(res * (res + 1) * 0.5)) + 1 == n):
            break

    return res

# Test the function
assert find_Index(2) == 4
```

This function uses a while loop to keep incrementing the index until the triangular number at that index has the required number of digits. The logarithm function is used to count the number of digits in the triangular number.

codegen-2b. fail_base: True, fail_plus: True

  """
Write a python function to find the index of smallest triangular number with n digits. https://www.geeksforgeeks.org/index-of-smallest-triangular-number-with-n-digits/
assert find_Index(2) == 4
"""

def find_Index(n):
    if n == 1:
        return 1
    else:
        return n*(n+1)//2

print(find_Index(2))

"""
Write a python function to find the index of smallest triangular number with n digits. https://www.geeksforgeeks.org/index-of-smallest-triangular-number-with-n-digits/
assert find_Index(2) == 4
"""

def find_Index(n):
    if n == 1:
        return 1
    else:
        return n*(n+1)//2

print(find_Index(2))

"""
Write a python function to find the index of smallest triangular number with n digits. https://www.geeksforgeeks.org/index-of-smallest-triangular-number-with-n-digits/
assert find_Index(2) == 4
"""

def find_Index(n):
    if n == 1:
        return 1
    else:
        return n*(n+1)//2

print(find_Index(2))

"""
Write a python function to find the index of smallest triangular number with n digits. https://www.geeksforgeeks.org/index-of-smallest-triangular-number-with-n-digits/
assert find_Index(2) == 4
"""

def find_Index(n):
    if n == 1:
        return 1
    else:
        return n*(n+1)//2

print(find_Index(2))

"""
Write a python function to find the index of smallest triangular number with n digits. https://www.geeksforgeeks.org/index-of-smallest-triangular-number-with-n-digits/
assert find_Index(2) == 4
"""

def find_Index(n):
    if n == 1:
        return 1
    else:
        return n*(n+1)//2

print(find_Index(2))

"""
Write a python function to find the index of smallest triangular number with n digits. https://www.geeksforgeeks.org/index-of-

HuggingFaceH4--starchat2-15b-v0.1. fail_base: False, fail_plus: True

  def find_Index(n):
    """
    Write a python function to find the index of smallest triangular number with n digits. 
    assert find_Index(2) == 4
    """
    index = 1
    while True:
        triangular_number = index * (index + 1) // 2
        if len(str(triangular_number)) == n:
            return index
        index += 1

# Test the function
assert find_Index(2) == 4

codegemma-7b. fail_base: False, fail_plus: True

  """
Write a python function to find the index of smallest triangular number with n digits. https://www.geeksforgeeks.org/index-of-smallest-triangular-number-with-n-digits/
assert find_Index(2) == 4
"""

def find_Index(n):
    i = 1
    while True:
        if len(str(i * (i + 1) // 2)) == n:
            return i
        i += 1

code-llama-multi-13b. fail_base: True, fail_plus: True

  """
Write a python function to find the index of smallest triangular number with n digits. https://www.geeksforgeeks.org/index-of-smallest-triangular-number-with-n-digits/
assert find_Index(2) == 4
"""


def find_Index(n):
    """
    :param n: number of digits
    :return: index of smallest triangular number with n digits
    """
    if n == 1:
        return 1
    elif n == 2:
        return 4
    elif n == 3:
        return 10
    elif n == 4:
        return 20
    elif n == 5:
        return 35
    elif n == 6:
        return 56
    elif n == 7:
        return 84
    elif n == 8:
        return 120
    elif n == 9:
        return 165
    elif n == 10:
        return 220
    elif n == 11:
        return 286
    elif n == 12:
        return 364
    elif n == 13:
        return 455
    elif n == 14:
        return 560
    elif n == 15:
        return 680
    elif n == 16:
        return 816
    elif n == 17:
        return 965
    elif n == 18:
        return 1130
    elif n == 19:
        return 1315
    elif n == 20:
        return 1525
    elif n == 21:
        return 1750
    elif n == 22:
        return 1995
    elif n == 23:
        return 2256
    elif n == 24:
        return 2530
    elif n == 25:
        return 2825
    elif n == 26:
        return 3140
    elif n == 27:
        return 3470
    elif n == 28:
        return 3820
    elif n == 29:
        return 4200
    elif n == 30:
        return 461

deepseek-coder-6.7b-instruct. fail_base: False, fail_plus: True

  Here is the Python function in a markdown style code block:

```python
def find_Index(n):
    """
    This function finds the index of the smallest triangular number with n digits.
    The formula used here is:
    index = ceil((sqrt((8 * 10^(n-1)) + 1) - 1) / 2)
    """
    import math
    return math.ceil((math.sqrt((8 * (10 ** (n - 1))) + 1) - 1) / 2)

# Test the function
assert find_Index(2) == 4
```

This function uses the formula given in the link you provided to calculate the index of the smallest triangular number with n digits. The `math.ceil()` function is used to round up the result to the nearest integer. The function is tested with `n=2`, and the result is asserted to be `4`.

open-hermes-2.5-code-290k-13b. fail_base: True, fail_plus: True

  
def find_Index(n):
    # Calculate the upper limit of the triangular number
    upper_limit = 10 ** (n - 1)

    # Iterate through the range of possible triangular numbers
    for i in range(1, upper_limit + 1):
        # Calculate the number of digits in the current triangular number
        num_digits = len(str(i))

        # If the number of digits matches the desired value, return the index
        if num_digits == n:
            return i

    # If no triangular number with the desired number of digits is found, return -1
    return -1

# Test the function with n = 2
assert find_Index(2) == 4

codet5p-6b. fail_base: True, fail_plus: True

  """
Write a python function to find the index of smallest triangular number with n digits. https://www.geeksforgeeks.org/index-of-smallest-triangular-number-with-n-digits/
assert find_Index(2) == 4
"""


def find_Index(n):
    i = 1
    while True:
        i += 1
        n_digits = i * (i + 1) // 2
        if n_digits == n:
            return i
        elif n_digits > n:
            return i - 1

print(find_Index(2))
print(find_Index(3))
print(find_Index(4))
print(find_Index(5))
print(find_Index(6))
print(find_Index(7))
print(find_Index(8))
print(find_Index(9))
print(find_Index(10))
print(find_Index(11))
print(find_Index(12))
print(find_Index(13))
print(find_Index(14))
print(find_Index(15))
print(find_Index(16))
print(find_Index(17))
print(find_Index(18))
print(find_Index(19))
print(find_Index(20))
print(find_Index(21))
print(find_Index(22))
print(find_Index(23))
print(find_Index(24))
print(find_Index(25))
print(find_Index(26))
print(find_Index(27))
print(find_Index(28))
print(find_Index(29))
print(find_Index(30))
print(find_Index(31))
print(find_Index(32))
print(find_Index(33))
print(find_Index(34))
print(find_Index(35))
print(find_Index(36))
print(find_Index(37))
print(find_Index(38))
print(find_Index(39))
print(find_Index(40))
print(find_Index(41))
print(find_Index(42))
print(find_Index(43))
print(find_Index(44))
print(find_Index(45))
print(find_Index(46))
print(find_Index(47))
print(find_Index(48))
print(find_Index(49))
print(find_Index(50))

codegemma-7b-it. fail_base: False, fail_plus: True

  def find_Index(n):
    """
    Write a python function to find the index of smallest triangular number with n digits. https://www.geeksforgeeks.org/index-of-smallest-triangular-number-with-n-digits/
    assert find_Index(2) == 4
    """
    i = 1
    sum = 0
    while True:
        sum += i
        if len(str(sum)) == n:
            return i
        i += 1

mistralai--Mistral-7B-Instruct-v0.2. fail_base: True, fail_plus: True

  """
Write a python function to find the index of smallest triangular number with n digits. 
assert find_Index(2) == 4
"""
def triangular_number(n):
    return int((n * (n + 1) / 2))

def find_index(n):
    current = 0
    index = 0
    while len(str(triangular_number(index))) < n:
        current += 1
        index += 1
    return current

xwincoder-34b. fail_base: True, fail_plus: True

  def find_index(n):
    triangular_numbers = [0]
    index = 1
    while len(str(triangular_numbers[-1])) < n:
        triangular_numbers.append(triangular_numbers[-1] + index)
        index += 1
    return index - 1

# Test the function
assert find_index(2) == 4

wizardcoder-15b. fail_base: True, fail_plus: True

  Here's the Python function to find the index of smallest triangular number with n digits:

```python
def find_Index(n):
    # Initialize the variable to store the smallest triangular number with n digits
    smallest_triangular = 10**(n-1)
    
    # Initialize the variable to store the index of the smallest triangular number with n digits
    index = n-1
    
    # Loop through all the triangular numbers with n digits and find the smallest one
    for i in range(n-1, 10**n):
        triangular = i*(i+1)//2
        
        # If the current triangular number is smaller than the smallest triangular number with n digits, update the variables
        if triangular < smallest_triangular:
            smallest_triangular = triangular
            index = i
    
    return index
```

The function takes an integer `n` as input and returns the index of the smallest triangular number with `n` digits. The function first initializes the variable `smallest_triangular` to the smallest triangular number with `n-1` digits (since the smallest triangular number with `n` digits is the smallest triangular number with `n-1` digits plus 1). It then initializes the variable `index` to `n-1`, since the index of the smallest triangular number with `n` digits is `n-1`.

The function then loops through all the triangular numbers with `n` digits (from `n-1` to `10**n-1`) and finds the smallest one. For each triangular number, it calculates the corresponding index `i` and checks if it is smaller than the current smallest triangular number with `n` digits. If it is, it updates the variables `smallest_triangular` and `index` accordingly.

Finally, the function returns the index of the smallest triangular number with `n` digits.

To test the function, we can use the `assert` statement:

```python
assert find_Index(2) == 4
```

This asserts that the function returns `4` for `n=2`, which is the index of the smallest triangular number with `2` digits (which is `4`).

code-llama-34b. fail_base: True, fail_plus: True

  """
Write a python function to find the index of smallest triangular number with n digits. https://www.geeksforgeeks.org/index-of-smallest-triangular-number-with-n-digits/
assert find_Index(2) == 4
"""

def find_Index(n):
    if n == 1:
        return 1
    else:
        return find_Index(n-1) + 9 * 10 ** (n-2) + n

deepseek-coder-33b-instruct. fail_base: True, fail_plus: True

  Here is the Python function to find the index of smallest triangular number with n digits:

```python
def find_Index(n):
    if n == 1:
        return 1
    left, right = 1, n * 10
    while left < right:
        mid = (left + right) // 2
        if mid * (mid + 1) // 2 >= 10 ** (n - 1):
            right = mid
        else:
            left = mid + 1
    return left

# Test the function
print(find_Index(2))  # Output: 4
```

This function uses binary search to find the smallest index that makes the triangular number have n digits. The triangular number is calculated by the formula `n * (n + 1) / 2`. The binary search is performed on the index, and the mid-point is checked to see if it produces a triangular number with n digits. If it does, the right boundary is moved to the mid-point, otherwise, the left boundary is moved to the mid-point plus one. The binary search continues until the left boundary equals the right boundary, which is the smallest index that makes the triangular number have n digits.

phi-2. fail_base: True, fail_plus: True

  """
Write a python function to find the index of smallest triangular number with n digits. https://www.geeksforgeeks.org/index-of-smallest-triangular-number-with-n-digits/
assert find_Index(2) == 4
"""

def find_Index(n):
    """
    Find the index of smallest triangular number with n digits.
    """
    # Initialize the triangular number
    triangular_number = 1
    # Initialize the index
    index = 1
    # Loop until the triangular number has n digits
    while len(str(triangular_number)) < n:
        # Increment the triangular number
        triangular_number += index
        # Increment the index
        index += 1
    # Return the index
    return index

# Test the function
assert find_Index(2) == 4
assert find_Index(3) == 10
assert find_Index(4) == 15
assert find_Index(5) == 21
assert find_Index(6) == 28
assert find_Index(7) == 36
assert find_Index(8) == 45
assert find_Index(9) == 55
assert find_Index(10) == 66
assert find_Index(11) == 78
assert find_Index(12) == 91
assert find_Index(13) == 105
assert find_Index(14) == 120
assert find_Index(15) == 136
assert find_Index(16) == 153
assert find_Index(17) == 171
assert find_Index(18) == 189
assert find_Index(19) == 201
assert find_Index(20) == 210
assert find_Index(21) == 231
assert find_Index(22) == 252
assert find_Index(23) == 273
assert find_Index(24) == 285
assert find_Index(25) == 301
assert find_Index(26) == 315
assert find_Index(27) == 336
assert find_Index(28) == 351
assert find_Index(29) == 378
assert find_Index(30) == 405
assert find_Index(31) == 420
assert find_Index(32) == 441
assert find_Index(33) == 462
assert find_Index(34) == 483
assert find_Index(35) == 504
assert find_Index(36) == 528
assert find_Index(37) == 561
assert find_Index(38) == 594
assert find_Index(39) == 615

codet5p-2b. fail_base: True, fail_plus: True

  """
Write a python function to find the index of smallest triangular number with n digits. https://www.geeksforgeeks.org/index-of-smallest-triangular-number-with-n-digits/
assert find_Index(2) == 4
"""


def find_Index(n):
    return (n*(n+1))//2

print(find_Index(2))
print(find_Index(3))
print(find_Index(4))
print(find_Index(5))
print(find_Index(6))
print(find_Index(7))
print(find_Index(8))
print(find_Index(9))
print(find_Index(10))
print(find_Index(11))
print(find_Index(12))
print(find_Index(13))
print(find_Index(14))
print(find_Index(15))
print(find_Index(16))
print(find_Index(17))
print(find_Index(18))
print(find_Index(19))
print(find_Index(20))
print(find_Index(21))
print(find_Index(22))
print(find_Index(23))
print(find_Index(24))
print(find_Index(25))
print(find_Index(26))
print(find_Index(27))
print(find_Index(28))
print(find_Index(29))
print(find_Index(30))
print(find_Index(31))
print(find_Index(32))
print(find_Index(33))
print(find_Index(34))
print(find_Index(35))
print(find_Index(36))
print(find_Index(37))
print(find_Index(38))
print(find_Index(39))
print(find_Index(40))
print(find_Index(41))
print(find_Index(42))
print(find_Index(43))
print(find_Index(44))
print(find_Index(45))
print(find_Index(46))
print(find_Index(47))
print(find_Index(48))
print(find_Index(49))
print(find_Index(50))
print(find_Index(51))
print(find_Index(52))
print(find_Index(53))
print(find_Index(54))
print(find_Index(55))
print(find

bigcode--starcoder2-15b-instruct-v0.1. fail_base: True, fail_plus: True

  def find_index(n):
    """
    Find the index of the smallest triangular number with n digits.
    """
    index = 1
    while True:
        triangular_number = index * (index + 1) // 2
        if len(str(triangular_number)) == n:
            return index
        index += 1

codegemma-2b. fail_base: True, fail_plus: True

  """
Write a python function to find the index of smallest triangular number with n digits. https://www.geeksforgeeks.org/index-of-smallest-triangular-number-with-n-digits/
assert find_Index(2) == 4
"""

def find_Index(n):
    for i in range(1, n+1):
        if i*(i+1)/2 == n:
            return i
    return -1
<|file_separator|>

white-rabbit-neo-33b-v1. fail_base: False, fail_plus: True

  def find_Index(n):
    # Initialize the index and the current triangular number
    index = 1
    triangular_number = 1
    
    # Loop until we find a triangular number with n digits
    while True:
        # Calculate the next triangular number
        index += 1
        triangular_number += index
        
        # Convert the triangular number to a string and check its length
        if len(str(triangular_number)) == n:
            return index

# Test the function
assert find_Index(2) == 4

microsoft--Phi-3-mini-4k-instruct. fail_base: True, fail_plus: True

  def find_index(n):
    """
    Find the index of the smallest triangular number with n digits.

    :param n: Number of digits
    :return: Index of the smallest triangular number with n digits
    """
    # Start from the first triangular number
    index = 1
    while True:
        # Calculate the current triangular number
        triangular_number = (index * (index + 1)) // 2

        # Check if the number of digits is equal to n
        if len(str(triangular_number)) == n:
            return index

        # Increment the index
        index += 1

# Test the function
assert find_index(2) == 4
assert find_index(3) == 12
assert find_index(4) == 21

speechless-codellama-34b. fail_base: True, fail_plus: True

  def find_Index(n):
    # Initialize the lower and upper bounds
    low = 1
    high = 10 ** n

    # Calculate the middle index
    mid = (low + high) // 2

    # Calculate the triangular number at the middle index
    triangular_number = mid * (mid + 1) // 2

    # Check if the triangular number has n digits
    while len(str(triangular_number)) != n:
        # If the triangular number has more than n digits,
        # update the lower bound to the middle index
        if len(str(triangular_number)) > n:
            low = mid
        # If the triangular number has less than n digits,
        # update the upper bound to the middle index
        else:
            high = mid

        # Calculate the middle index
        mid = (low + high) // 2

        # Calculate the triangular number at the middle index
        triangular_number = mid * (mid + 1) // 2

    # Return the index of the smallest triangular number with n digits
    return mid

# Test the function
assert find_Index(2) == 4
```

meta-llama-3-70b-instruct. fail_base: False, fail_plus: True

  def find_Index(n):
    count = 1
    triangular_num = 1
    while True:
        digits = len(str(triangular_num))
        if digits == n:
            return count
        count += 1
        triangular_num += count

assert find_Index(2) == 4

stable-code-3b. fail_base: True, fail_plus: True

  """
Write a python function to find the index of smallest triangular number with n digits. https://www.geeksforgeeks.org/index-of-smallest-triangular-number-with-n-digits/
assert find_Index(2) == 4
"""

def find_Index(n):
    return int(n*(n+1)/2)

print(find_Index(2))
print(find_Index(3))
print(find_Index(4))
print(find_Index(5))
print(find_Index(6))
print(find_Index(7))
print(find_Index(8))
print(find_Index(9))
print(find_Index(10))
print(find_Index(11))
print(find_Index(12))
print(find_Index(13))
print(find_Index(14))
print(find_Index(15))
print(find_Index(16))
print(find_Index(17))
print(find_Index(18))
print(find_Index(19))
print(find_Index(20))
print(find_Index(21))
print(find_Index(22))
print(find_Index(23))
print(find_Index(24))
print(find_Index(25))
print(find_Index(26))
print(find_Index(27))
print(find_Index(28))
print(find_Index(29))
print(find_Index(30))
print(find_Index(31))
print(find_Index(32))
print(find_Index(33))
print(find_Index(34))
print(find_Index(35))
print(find_Index(36))
print(find_Index(37))
print(find_Index(38))
print(find_Index(39))
print(find_Index(40))
print(find_Index(41))
print(find_Index(42))
print(find_Index(43))
print(find_Index(44))
print(find_Index(45))
print(find_Index(46))
print(find_Index(47))
print(find_Index(48))
print(find_Index(49))
print(find_Index(50))
print(find_Index(51))
print(find_Index(52))
print(find_Index(53))
print(find_Index(54))
print(find_Index(55))
print(find

codegen-6b. fail_base: True, fail_plus: True

  """
Write a python function to find the index of smallest triangular number with n digits. https://www.geeksforgeeks.org/index-of-smallest-triangular-number-with-n-digits/
assert find_Index(2) == 4
"""

def find_Index(n):
    """
    :param n: number of digits
    :return: index of smallest triangular number with n digits
    """
    if n == 1:
        return 1
    if n == 2:
        return 3
    if n == 3:
        return 6
    if n == 4:
        return 10
    if n == 5:
        return 15
    if n == 6:
        return 21
    if n == 7:
        return 28
    if n == 8:
        return 36
    if n == 9:
        return 45
    if n == 10:
        return 55
    if n == 11:
        return 66
    if n == 12:
        return 77
    if n == 13:
        return 89
    if n == 14:
        return 101
    if n == 15:
        return 113
    if n == 16:
        return 126
    if n == 17:
        return 139
    if n == 18:
        return 152
    if n == 19:
        return 165
    if n == 20:
        return 176
    if n == 21:
        return 187
    if n == 22:
        return 199
    if n == 23:
        return 212
    if n == 24:
        return 225
    if n == 25:
        return 236
    if n == 26:
        return 249
    if n == 27:
        return 262
    if n == 28:
        return 275
    if n == 29:
        return 288
    if n == 30:
        return 301
    if n == 31:
        return 314
    if n == 32:
        return 327
    if n == 33:
        return 340
    if n == 34:
        return 354
    if n == 35:
        return 367
    if n == 36:
        return 380
    if n == 37:
        return 393
    if n == 38:
        return 406
    if n == 39:
        return 419
    if n == 40:
        return 432
    if n == 41:
        return 445
    if n == 42:
        return 468
    if n == 43:
        return 481

gpt-4-1106-preview. fail_base: False, fail_plus: True

  """
Write a python function to find the index of smallest triangular number with n digits. https://www.geeksforgeeks.org/index-of-smallest-triangular-number-with-n-digits/
assert find_Index(2) == 4
"""


import math

def find_Index(n):
    # Function to find the index of smallest triangular number
    # with n digits

    # A Triangular number or a triangle number counts objects arranged in an equilateral triangle. Triangular numbers are therefore
    # given by the formula: Tn = n * (n + 1) / 2

    # The idea is to use binary search on the result. First find the upper
    # limit of result, then apply binary search

    # Find the upper limit
    low = 1
    high = 10
    while len(str((high * (high + 1)) // 2)) < n:
        low = high
        high *= 10

    # Apply binary search
    while low < high:
        mid = (low + high) // 2
        num = (mid * (mid + 1)) // 2

        if len(str(num)) == n:
            high = mid
        elif len(str(num)) < n:
            low = mid + 1
        else:
            high = mid - 1

    # Since we are finding the smallest index, we need to move back to find
    # the first occurrence of the number with n digits
    while len(str(((high - 1) * high) // 2)) == n:
        high -= 1

    return high

# Example usage
# assert find_Index(2) == 4

gemma-7b-it. fail_base: True, fail_plus: True

  def find_Index(n):
    """
    Write a python function to find the index of smallest triangular number with n digits.

    Args:
        n: The number of digits in the smallest triangular number.

    Returns:
        The index of the smallest triangular number with n digits.
    """

    # Calculate the triangular number with n digits.
    triangular_number = n * (n + 1) // 2

    # Find the index of the smallest triangular number with n digits.
    index = 1
    while triangular_number % 10 ** index != 0:
        index += 1

    # Return the index of the smallest triangular number with n digits.
    return index


assert find_Index(2) == 4

opencodeinterpreter-ds-33b. fail_base: False, fail_plus: True

  ```python
def find_Index(n):
    # The formula to find the index of smallest triangular number with n digits is (n*(n+1))/2
    # We need to find the smallest n such that (n*(n+1))/2 >= 10^(n-1)
    # We can use binary search to find the smallest n
    left, right = 1, 10**6
    while left < right:
        mid = (left + right) // 2
        if mid * (mid + 1) // 2 >= 10**(n-1):
            right = mid
        else:
            left = mid + 1
    return left

# Test the function
print(find_Index(2))  # Output: 4

openchat. fail_base: True, fail_plus: True

  def find_Index(n):
    # A triangular number is a number that can be obtained by summing consecutive integers.
    # The nth triangular number is given by the formula n*(n+1)/2
    # We need to find the smallest triangular number with n digits
    # The smallest triangular number with n digits will have n+1 digits (since it will be n*(n+1)/2)
    # So, we need to find the smallest triangular number with n+1 digits
    # The smallest triangular number with n+1 digits is (n+1)*(n+2)/2
    # We can start from 1 and keep increasing n until we find a triangular number with n+1 digits
    # We can use a while loop to do this
    i = 1
    while True:
        triangular_number = i*(i+1)//2
        if len(str(triangular_number)) == n+1:
            return i
        i += 1

# Test the function
assert find_Index(2) == 4

speechless-starcoder2-7b. fail_base: False, fail_plus: True

  def find_Index(n):
    # Initialize the index
    index = 0

    # Loop until we find a triangular number with n digits
    while True:
        # Calculate the triangular number
        triangular_number = (index * (index + 1)) // 2

        # If the number of digits is equal to n, return the index
        if len(str(triangular_number)) == n:
            return index

        # Increment the index
        index += 1

# Test the function
assert find_Index(2) == 4

wizardcoder-7b. fail_base: False, fail_plus: True

  Here's a Python function that finds the index of the smallest triangular number with n digits:

```python
def find_Index(n):
    i = 1
    while True:
        triangular_number = i * (i + 1) // 2
        if len(str(triangular_number)) == n:
            return i
        i += 1
```

This function uses a while loop to generate triangular numbers one by one and checks if the length of the triangular number is equal to n. If it is, it returns the value of i, which is the index of the smallest triangular number with n digits. The loop continues until a triangular number with n digits is found. The formula for generating triangular numbers is `i * (i + 1) // 2`. We use integer division `//` to ensure that the result is an integer. 

octocoder. fail_base: True, fail_plus: True

  """
Write a python function to find the index of smallest triangular number with n digits. https://www.geeksforgeeks.org/index-of-smallest-triangular-number-with-n-digits/
assert find_Index(2) == 4
"""


def find_Index(n):
    if n == 1:
        return 1
    else:
        return (n * (n + 1)) // 2

gemma-1.1-7b-it. fail_base: True, fail_plus: True

  def find_Index(n):
    i = 1
    while str(i**3).count('0') > n:
        i += 1
    return i-1

"""
assert find_Index(2) == 4
"""

deepseek-coder-6.7b-base. fail_base: True, fail_plus: True

  """
Write a python function to find the index of smallest triangular number with n digits. https://www.geeksforgeeks.org/index-of-smallest-triangular-number-with-n-digits/
assert find_Index(2) == 4
"""


def find_Index(n):
    # Initialize result
    res = 0

    # One by one compute sum of
    # digits in count of numbers
    # from 1 to n.
    for i in range(1, n + 1):
        res = res + n // i

    return res


# Driver code
n = 2
print(find_Index(n))

codegen-16b. fail_base: True, fail_plus: True

  """
Write a python function to find the index of smallest triangular number with n digits. https://www.geeksforgeeks.org/index-of-smallest-triangular-number-with-n-digits/
assert find_Index(2) == 4
"""

def find_Index(n):
    # n = int(input())
    # n = 2
    # n = 3
    # n = 4
    # n = 5
    # n = 6
    # n = 7
    # n = 8
    # n = 9
    # n = 10
    # n = 11
    # n = 12
    # n = 13
    # n = 14
    # n = 15
    # n = 16
    # n = 17
    # n = 18
    # n = 19
    # n = 20
    # n = 21
    # n = 22
    # n = 23
    # n = 24
    # n = 25
    # n = 26
    # n = 27
    # n = 28
    # n = 29
    # n = 30
    # n = 31
    # n = 32
    # n = 33
    # n = 34
    # n = 35
    # n = 36
    # n = 37
    # n = 38
    # n = 39
    # n = 40
    # n = 41
    # n = 42
    # n = 43
    # n = 44
    # n = 45
    # n = 46
    # n = 47
    # n = 48
    # n = 49
    # n = 50
    # n = 51
    # n = 52
    # n = 53
    # n = 54
    # n = 55
    # n = 56
    # n = 57
    # n = 58
    # n = 59
    # n = 60
    # n = 61
    # n = 62
    # n = 63
    # n = 64
    # n = 65
    # n = 66
    # n = 67
    # n = 68
    # n = 69
    # n = 70
    # n = 71
    # n = 72
    # n = 73
    # n = 74
    # n = 75
    # n = 76
    # n = 77
    # n = 78
    # n = 79
    # n = 80
    # n = 81
    # n = 82
    # n = 83
    #

mistral-7b. fail_base: True, fail_plus: True

  """
Write a python function to find the index of smallest triangular number with n digits. https://www.geeksforgeeks.org/index-of-smallest-triangular-number-with-n-digits/
assert find_Index(2) == 4
"""


def find_Index(n):
    """
    :param n: number of digits
    :return: index of smallest triangular number with n digits
    """
    if n == 1:
        return 1
    else:
        return n + find_Index(n - 1)


assert find_Index(2) == 4

speechless-mistral-7b. fail_base: True, fail_plus: True

  def find_Index(n):
    triangular_numbers = []
    for i in range(1, 10**n):
        triangular_numbers.append(i*(i+1)//2)
    return triangular_numbers.index(min(triangular_numbers)) + 1

assert find_Index(2) == 4
```

This Python script defines a function `find_Index` that takes an integer `n` as input and returns the index of the smallest triangular number with `n` digits. The function first generates a list of triangular numbers up to `10**n` using a loop, then finds the index of the smallest number in the list using the `index` method of the list, and finally adds 1 to the index to account for the fact that Python uses zero-based indexing. The assert statement at the end checks that the function correctly returns 4 for the input 2, as per the problem statement.

codet5p-16b. fail_base: True, fail_plus: True

  """
Write a python function to find the index of smallest triangular number with n digits. https://www.geeksforgeeks.org/index-of-smallest-triangular-number-with-n-digits/
assert find_Index(2) == 4
"""


def find_Index(n):
    i = 1
    while True:
        if len(str(i)) == n:
            return i
        i += 1

assert find_Index(2) == 4
assert find_Index(3) == 6
assert find_Index(4) == 8
assert find_Index(5) == 10
assert find_Index(6) == 12
assert find_Index(7) == 14
assert find_Index(8) == 16
assert find_Index(9) == 18
assert find_Index(10) == 20
assert find_Index(11) == 22
assert find_Index(12) == 24
assert find_Index(13) == 26
assert find_Index(14) == 28
assert find_Index(15) == 30
assert find_Index(16) == 32
assert find_Index(17) == 34
assert find_Index(18) == 36
assert find_Index(19) == 38
assert find_Index(20) == 40
assert find_Index(21) == 42
assert find_Index(22) == 44
assert find_Index(23) == 46
assert find_Index(24) == 48
assert find_Index(25) == 50
assert find_Index(26) == 52
assert find_Index(27) == 54
assert find_Index(28) == 56
assert find_Index(29) == 58
assert find_Index(30) == 60
assert find_Index(31) == 62
assert find_Index(32) == 64
assert find_Index(33) == 66
assert find_Index(34) == 68
assert find_Index(35) == 70
assert find_Index(36) == 72
assert find_Index(37) == 74
assert find_Index(38) == 76
assert find_Index(39) == 78
assert find_Index(40) == 80
assert find_Index(41) == 82
assert find_Index(42) == 84
assert find_Index(43) == 86
assert find_Index(44) == 88
assert find_Index(45) == 90
assert find_Index(46) == 92
assert find_Index(47) == 94
assert find_Index(48) == 96
assert

code-llama-13b. fail_base: True, fail_plus: True

  """
Write a python function to find the index of smallest triangular number with n digits. https://www.geeksforgeeks.org/index-of-smallest-triangular-number-with-n-digits/
assert find_Index(2) == 4
"""


def find_Index(n):
    index = 0
    for i in range(1, n + 1):
        index += i
    return index


if __name__ == "__main__":
    print(find_Index(2))

xdan-l1-chat. fail_base: True, fail_plus: True

  def find_Index(n):
    # Initialize the smallest triangular number with n digits
    smallest_triangular_number = 10**(n-1)
    
    # Iterate through triangular numbers until the desired number of digits is reached
    for i in range(1, n):
        triangular_number = (i * (i + 1)) // 2
        if len(str(triangular_number)) == n:
            return i
        
    # If the loop ends without finding a suitable triangular number, return None
    return None

# Test the function
assert find_Index(2) == 4

solar-10.7b-instruct. fail_base: True, fail_plus: True

  """
Write a python function to find the index of smallest triangular number with n digits. https://www.geeksforgeeks.org/index-of-smallest-triangular-number-with-n-digits/
assert find_Index(2) == 4
"""
def find_Index(n):
    triangular_numbers = [sum(range(1, i + 1)) for i in range(1, 100)]
    return next(i for i, number in enumerate(triangular_numbers) if len(str(number)) == n)

assert find_Index(2) == 4

gemma-2b. fail_base: True, fail_plus: True

  """
Write a python function to find the index of smallest triangular number with n digits. https://www.geeksforgeeks.org/index-of-smallest-triangular-number-with-n-digits/
assert find_Index(2) == 4
"""

def find_Index(n):
    if n == 1:
        return 0
    else:
        return (n - 1) * (n - 1) + find_Index(n - 1)

claude-3-sonnet-20240229. fail_base: False, fail_plus: True

  ```python
import math

def find_Index(n):
    """
    Find the index of the smallest triangular number with n digits.
    
    Args:
        n (int): The number of digits in the desired triangular number.
        
    Returns:
        int: The index of the smallest triangular number with n digits.
    """
    
    # Initialize the index to 1
    index = 1
    
    # Keep incrementing the index until the triangular number has n digits
    while True:
        # Calculate the triangular number for the current index
        triangular_num = (index * (index + 1)) // 2
        
        # Check if the triangular number has n digits
        if len(str(triangular_num)) == n:
            return index
        
        # Increment the index
        index += 1

# Test cases

starcoder2-15b-oci. fail_base: True, fail_plus: True

  """
Write a python function to find the index of smallest triangular number with n digits. https://www.geeksforgeeks.org/index-of-smallest-triangular-number-with-n-digits/
assert find_Index(2) == 4
"""


def find_Index(n):
    # Your code here
    pass
```

The function `find_Index` takes an integer `n` as input and returns the index of the smallest triangular number with `n` digits. The triangular numbers are generated using a loop and the index is incremented each time a new triangular number is generated. The loop stops when a triangular number with `n` digits is found. The index of the triangular number is then returned.

To test the function, I will use the provided assert statement to check if the function returns the correct index for the given input. If the function returns the correct index, the assertion will pass. If the function returns an incorrect index, the assertion will fail and an error message will be displayed.

Let's execute the code to see if it passes the test.
```python
def find_Index(n):
    index = 1
    triangular_number = 1
    while len(str(triangular_number)) < n:
        index += 1
        triangular_number += index
    return index

starcoder2-3b. fail_base: True, fail_plus: True

  """
Write a python function to find the index of smallest triangular number with n digits. https://www.geeksforgeeks.org/index-of-smallest-triangular-number-with-n-digits/
assert find_Index(2) == 4
"""

def find_Index(n):
    # Your code here
    return 0

print(find_Index(2))
print(find_Index(3))
print(find_Index(4))
print(find_Index(5))
print(find_Index(6))
print(find_Index(7))
print(find_Index(8))
print(find_Index(9))
print(find_Index(10))
print(find_Index(11))
print(find_Index(12))
print(find_Index(13))
print(find_Index(14))
print(find_Index(15))
print(find_Index(16))
print(find_Index(17))
print(find_Index(18))
print(find_Index(19))
print(find_Index(20))
print(find_Index(21))
print(find_Index(22))
print(find_Index(23))
print(find_Index(24))
print(find_Index(25))
print(find_Index(26))
print(find_Index(27))
print(find_Index(28))
print(find_Index(29))
print(find_Index(30))
print(find_Index(31))
print(find_Index(32))
print(find_Index(33))
print(find_Index(34))
print(find_Index(35))
print(find_Index(36))
print(find_Index(37))
print(find_Index(38))
print(find_Index(39))
print(find_Index(40))
print(find_Index(41))
print(find_Index(42))
print(find_Index(43))
print(find_Index(44))
print(find_Index(45))
print(find_Index(46))
print(find_Index(47))
print(find_Index(48))
print(find_Index(49))
print(find_Index(50))
print(find_Index(51))
print

speechless-starcoder2-15b. fail_base: True, fail_plus: True

  def find_Index(n):
    if n == 1:
        return 1
    else:
        start = 10 ** (n - 1)
        end = 10 ** n
        for i in range(start, end):
            if (i * (i + 1)) // 2 >= 10 ** (n - 1):
                return i
        return -1

assert find_Index(2) == 4

gemma-7b. fail_base: True, fail_plus: True

  """
Write a python function to find the index of smallest triangular number with n digits. https://www.geeksforgeeks.org/index-of-smallest-triangular-number-with-n-digits/
assert find_Index(2) == 4
"""

import math
def find_Index(n):
    if n == 1:
        return 1
    if n == 2:
        return 4
    if n == 3:
        return 10
    if n == 4:
        return 19
    if n == 5:
        return 31
    if n == 6:
        return 51
    if n == 7:
        return 81
    if n == 8:
        return 122
    if n == 9:
        return 184
    if n == 10:
        return 279
    if n == 11:
        return 411
    if n == 12:
        return 601
    if n == 13:
        return 861
    if n == 14:
        return 1221
    if n == 15:
        return 1691
    if n == 16:
        return 2361
    if n == 17:
        return 3231
    if n == 18:
        return 4391
    if n == 19:
        return 5911
    if n == 20:
        return 8011
    if n == 21:
        return 10811
    if n == 22:
        return 14411
    if n == 23:
        return 19111
    if n == 24:
        return 25111
    if n == 25:
        return 32911
    if n == 26:
        return 42511
    if n == 27:
        return 55111
    if n == 28:
        return 71111
    if n == 29:
        return 91911
    if n == 30:
        return 118111
    if n == 31:
        

opencodeinterpreter-ds-6.7b. fail_base: False, fail_plus: True

  ```python
def find_Index(n):
    if n == 1:
        return 1
    else:
        index = 1
        digits = 1
        while digits < n:
            index += 1
            digits = len(str(index*(index+1)//2))
        return index

# Test the function
print(find_Index(2))