sekstini/table.csv

## table.csv

          
            Model
            Output
            Tokens
            Cost ($)
            Latency (s)
            Speed (tokens/sec)
            Evaluation

            
              OpenAIProvider('gpt-4-1106-preview')
              If you see the word 'push' in reverse through a glass door, it means you are looking at the text from the back side. The text is likely intended for people on the other side of the door, instructing them to push when they approach the door from that side.
Since you are seeing it in reverse, you are on the opposite side of the door from where the instruction applies. Therefore, you should do the opposite of what the reversed text says, which means you should pull the door to open it.
              105
              0.00257
              2.75
              38.18
              3

            
              OpenAIProvider('gpt-4-1106-preview')
              To solve the quadratic equation x^2 - 5x + 6 = 0, we can use factoring, the quadratic formula, or completing the square. The simplest method here is factoring because the equation is already in a form that suggests it might factor nicely.
We are looking for two numbers that multiply to give the constant term (6) and add up to give the coefficient of the x term (-5).
The factors of 6 that add up to -5 are -2 and -3. So we can write the quadratic equation as:
(x - 2)(x - 3) = 0
Now, we use the zero product property, which states that if a product of two factors is zero, then at least one of the factors must be zero. Therefore, we set each factor equal to zero and solve for x:
x - 2 = 0  or  x - 3 = 0
Solving each equation for x gives us:
x = 2  or  x = 3
So the solutions to the quadratic equation x^2 - 5x + 6 = 0 are x = 2 and x = 3.
              243
              0.00527
              4.76
              51.05
              3

            
              OpenAIProvider('gpt-4-1106-preview')
              To solve this problem, we first need to calculate the factorial of 7 (7!) and the factorial of 3 (3!), then multiply these two results together, and finally subtract 1234.5 from the product.
The factorial of a number n, denoted as n!, is the product of all positive integers from 1 to n. So:
7! = 7 × 6 × 5 × 4 × 3 × 2 × 1 = 5040
3! = 3 × 2 × 1 = 6
Now we multiply these two factorials:
7! * 3! = 5040 * 6 = 30240
Finally, we subtract 1234.5 from this product:
30240 - 1234.5 = 29005.5
So, 7! * 3! - 1234.5 equals 29005.5.
              192
              0.00422
              3.90
              49.23
              3

            
              OpenAIProvider('gpt-4-1106-preview')
              Es war un beau Tag ce Thursday und ich wollte faire du ski draußen. Es hat commencé à pleuvoir bald obwohl sie gesagt haben, es wird nicht sein jusqu'à vendredi, also ich bin zum piscine gegangen stattdessen.
              55
              0.00180
              1.47
              37.41
              3

            
              OpenAIProvider('gpt-4-1106-preview')
              To convert the time from Pacific Time (PT) to Taipei Time, you need to consider the time difference between the two time zones. Taipei Time (Taipei Standard Time, TST) is typically 16 hours ahead of Pacific Standard Time (PST) and 15 hours ahead of Pacific Daylight Time (PDT).
First, you need to determine whether December 21 falls within daylight saving time or standard time in the Pacific Time zone. Daylight saving time in the Pacific Time zone typically ends in early November, so on December 21, the Pacific Time zone would be observing standard time (PST).
Given that, here's how you convert December 21, 1:50 PM PST to Taipei Time:
1:50 PM PST + 16 hours = 5:50 AM the next day in Taipei Time.
So, 1:50 PM on December 21 in Pacific Standard Time is 5:50 AM on December 22 in Taipei Time.
              197
              0.00431
              4.18
              47.13
              3

            
              OpenAIProvider('gpt-4-1106-preview')
              Based on the sequence of actions you described, here's what happened:
1. There was a cup with a ball inside it on the table in your kitchen.
2. You moved the cup with the ball inside to your bed in your bedroom.
3. You turned the cup upside down on your bed.
4. You grabbed the cup again and moved to the main room.
When you turned the cup upside down on your bed, the ball would have fallen out onto the bed, assuming there was nothing keeping it inside the cup (like your hand or the cup being sealed). Therefore, when you grabbed the cup and moved to the main room, the ball stayed behind on the bed in your bedroom.
              140
              0.00352
              2.98
              46.98
              3

            
              OpenAIProvider('gpt-4-1106-preview')
              Local slang unites Northern Ireland's people.
              9
              0.00278
              0.70
              12.86
              3

            
              OpenAIProvider('gpt-4-1106-preview')
              ```python
def length_of_LIS(nums):
    if not nums:
        return 0
    tails = [0] * len(nums)
    size = 0
    for x in nums:
        i, j = 0, size
        while i != j:
            m = (i + j) // 2
            if tails[m] < x:
                i = m + 1
            else:
                j = m
        tails[i] = x
        size = max(i + 1, size)
    return size
# Example usage:
example_list = [10, 9, 2, 5, 3, 7, 101, 18]
print(length_of_LIS(example_list))  # Output: 4
```
The function `length_of_LIS` finds the length of the longest increasing subsequence in the given list of integers. The example usage demonstrates the function with a sample list.
              199
              0.00504
              3.98
              50.00
              3

            
              OpenAIProvider('gpt-4-1106-preview')
              ```python
def max_sum_non_adjacent(nums):
    if not nums:
        return 0
    
    include = 0
    exclude = 0
    
    for num in nums:
        new_exclude = max(include, exclude)
        include = exclude + num
        exclude = new_exclude
    
    return max(include, exclude)
# Example usage:
example_list = [3, 2, 7, 10]
print(max_sum_non_adjacent(example_list))  # Output: 13
example_list_2 = [3, 2, 5, 10, 7]
print(max_sum_non_adjacent(example_list_2))  # Output: 15
```
              142
              0.00383
              2.98
              47.65
              3

            
              OpenAIProvider('gpt-4-1106-preview')
              To find the largest and third largest integer in a list, you can sort the list in descending order and then pick the first and third elements. However, this approach is not the most efficient if the list is very large, as sorting can take O(n log n) time.
A more efficient approach would be to iterate through the list once and keep track of the largest and third largest numbers. This can be done in O(n) time. Here's a Python function that does this:
```python
def find_largest_and_third_largest(lst):
    if len(lst) < 3:
        raise ValueError("List must contain at least three elements.")
    # Initialize the largest, second largest, and third largest
    largest = second_largest = third_largest = float('-inf')
    for num in lst:
        # Update the largest, second largest, and third largest if necessary
        if num > largest:
            third_largest = second_largest
            second_largest = largest
            largest = num
        elif largest > num > second_largest:
            third_largest = second_largest
            second_largest = num
        elif second_largest > num > third_largest:
            third_largest = num
    return largest, third_largest
# Example usage:
numbers = [5, 1, 5, 2, 3, 4, 8, 6, 7]
largest, third_largest = find_largest_and_third_largest(numbers)
print(f"Largest: {largest}, Third Largest: {third_largest}")
```
This function first checks if the list has at least three elements, as it's not possible to find the third largest element in a list with fewer than three elements. It then initializes three variables to keep track of the largest, second largest, and third largest numbers seen so far.
As it iterates through the list, it updates these variables accordingly. If the current number is greater than the largest, it shifts the current largest to second largest and the second largest to third largest, and then updates the largest. If the current number is between the largest and second largest, it updates the second and third largest. If the current number is between the second largest and third largest, it updates the third largest.
This ensures that by the end of the iteration, the function has correctly identified the largest and third largest numbers in the list.
              495
              0.01027
              9.98
              49.60
              3

            
              OpenAIProvider('gpt-4-1106-preview')
              Here's a JavaScript function that finds the largest rectangle containing only 1's in a 2D binary matrix:
```javascript
function maximalRectangle(matrix) {
    if (matrix.length === 0 || matrix[0].length === 0) return 0;
    let maxArea = 0;
    const dp = Array(matrix[0].length).fill(0);
    for (let i = 0; i < matrix.length; i++) {
        for (let j = 0; j < matrix[0].length; j++) {
            dp[j] = matrix[i][j] === '1' ? dp[j] + 1 : 0;
        }
        maxArea = Math.max(maxArea, largestRectangleArea(dp));
    }
    return maxArea;
}
function largestRectangleArea(heights) {
    let stack = [];
    let maxArea = 0;
    heights = [0, ...heights, 0];
    for (let i = 0; i < heights.length; i++) {
        while (stack.length > 0 && heights[i] < heights[stack[stack.length - 1]]) {
            let height = heights[stack.pop()];
            let width = i - stack[stack.length - 1] - 1;
            maxArea = Math.max(maxArea, height * width);
        }
        stack.push(i);
    }
    return maxArea;
}
// Example usage:
const matrix = [
    ['1', '0', '1', '0', '0'],
    ['1', '0', '1', '1', '1'],
    ['1', '1', '1', '1', '1'],
    ['1', '0', '0', '1', '0']
];
console.log(maximalRectangle(matrix)); // Output: 6
```
This function uses a dynamic programming approach to solve the problem with a time complexity of O(n*m), where n is the number of rows and m is the number of columns in the matrix.
              419
              0.00945
              9.09
              46.09
              3

            
              OpenAIProvider('gpt-4-1106-preview')
              To extract the clean names, email addresses, and phone numbers from the given unstructured data, we need to interpret and convert the information into a structured format. Here's the cleaned-up information:
1. John Doe
   - Email: johndoe@email.com
   - Phone: 5551234567
2. Jane Smith
   - Email: janesmith@email.com
   - Phone: 5559876543 (The phone number is given in Italian: "cinque-cinque-cinque-nove-otto-sette-sei-quattro-tre" translates to "5559876543")
3. Bob Johnson
   - Email: firstname.lastname@email.com (Since the actual first and last names are not provided in the email format, we use placeholders)
   - Phone: 5551112222 (The phone number is given in a mix of English and German: "five-five-five" translates to "555" and "eins-eins-eins-zwei-zwei-zwei-zwei" translates to "1112222")
Please note that for Bob Johnson's email, I've used "firstname.lastname" as placeholders since the actual names are not provided in the email format. If you have Bob Johnson's actual first and last names, you can replace the placeholders with the correct information.
              270
              0.00708
              5.13
              52.63
              0

            
              OpenAIProvider('gpt-4-1106-preview')
              To count the number of 't's in the string "eeooeotetto", we can simply look at each character and tally the 't's.
The string is: eeooeotetto
Let's count the 't's:
- e
- e
- o
- o
- e
- o
- t (1)
- e
- t (2)
- t (3)
- o
There are 3 't's in the string "eeooeotetto".
              106
              0.00246
              2.49
              42.57
              3

            
              OpenAIProvider('gpt-4-1106-preview')
              To spell "peach" under the given substitution rule, we need to replace each letter in "peach" with its corresponding substitute:
- p is substituted with m
- e is substituted with a
- a is substituted with n
- c is substituted with g
- h is substituted with o
Therefore,"peach" would be spelled as "mango" under this rule.
              81
              0.00218
              2.26
              35.84
              3

            
              OpenAIProvider('gpt-4-1106-preview')
              To solve this problem, we need to determine the rate at which one worker can paint the fence and then adjust that rate to account for the breaks.
First, let's find out how long it would take one worker to paint the fence without any breaks. If two workers can paint the fence in 8 hours, then together they have a combined rate of 1 fence per 8 hours (1/8 fence/hour). Since they are working together at the same rate, we can assume each worker contributes half of the work. Therefore, one worker would paint the fence at a rate of 1/16 fence/hour (since 1/8 divided by 2 equals 1/16).
Now, let's calculate how long it would take one worker to paint the fence without breaks. Since the worker's rate is 1/16 fence/hour, it would take them 16 hours to paint the entire fence (since 1 divided by 1/16 equals 16).
However, the worker needs to take a 30-minute break after every hour of work. This means that for every hour of work, the worker actually works for only 1 hour and then takes a 30-minute break, which is equivalent to 1.5 hours of time passing.
To find out how many breaks the worker will take, we can divide the total work time (16 hours) by the duration of each work session (1 hour of work before a break). This gives us 16 breaks. However, since the worker does not need to take a break after the last hour of work, we subtract one break from this total, resulting in 15 breaks.
Each break is 30 minutes (0.5 hours), so the total break time is 15 breaks * 0.5 hours/break = 7.5 hours.
Now, we add the total break time to the total work time to find out how long it will take the injured worker to paint the fence:
Total time = Work time + Break time
Total time = 16 hours (work time) + 7.5 hours (break time)
Total time = 23.5 hours
Therefore, it will take the injured worker 23.5 hours to paint the fence, including the breaks.
              462
              0.00986
              8.56
              53.97
              0

            
              OpenAIProvider('gpt-4-1106-preview')
              Let's break down the problem step by step:
1. Add the numbers that have the same digit (5) repeated:
   5 + 55 + 555 + 5555 + 55555
2. Calculate the sum of these numbers:
   - Start by adding the ones place: 5 (from the first number) + 5 (from the second number) + 5 (from the third number) + 5 (from the fourth number) + 5 (from the fifth number) = 25. Write down the 5 and carry over the 2.
   - Move to the tens place: 5 (from the second number) + 5 (from the third number) + 5 (from the fourth number) + 5 (from the fifth number) = 20, plus the carried over 2 = 22. Write down the 2 and carry over the 2.
   - Continue this pattern for the hundreds, thousands, and ten-thousands place.
3. The pattern is that each place value from the tens place and up will have a sum of 20 (since there are four 5's) plus whatever is carried over from the previous place value.
4. Calculate the sum:
   - Ones place: 5 + 5 + 5 + 5 + 5 = 25 (write down 5, carry over 2)
   - Tens place: 20 (from the four 5's) + 2 (carried over) = 22 (write down 2, carry over 2)
   - Hundreds place: 20 (from the four 5's) + 2 (carried over) = 22 (write down 2, carry over 2)
   - Thousands place: 20 (from the four 5's) + 2 (carried over) = 22 (write down 2, carry over 2)
   - Ten-thousands place: 5 (from the fifth number) + 2 (carried over) = 7
5. Write down the sum of the numbers: 72225
6. Now subtract 1725 from this sum:
   72225
- 1725
________
   70500
The final answer is 70500.
              477
              0.00991
              8.87
              53.78
              0

            
              OpenAIProvider('gpt-4-1106-preview')
              To solve this expression, we need to follow the order of operations, which is often remembered by the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right)).
The expression given is:
-2 - 2 - 2 - 2 - 2 - 2 * -2 * -2
First, we need to handle the multiplication before the addition and subtraction. Multiplication is commutative, so it doesn't matter in which order we multiply the numbers. Let's do the multiplication first:
-2 * -2 = 4 (because the product of two negative numbers is positive)
-2 * -2 = 4 (same as above)
Now, let's replace the multiplication in the original expression with the results:
-2 - 2 - 2 - 2 - 2 - 4 * 4
Now, we multiply the remaining -4 by 4:
-4 * 4 = -16
Replace the multiplication in the expression with the result:
-2 - 2 - 2 - 2 - 2 - 16
Now we just have a series of subtractions to perform. We can do this from left to right:
-2 - 2 = -4
-4 - 2 = -6
-6 - 2 = -8
-8 - 2 = -10
-10 - 16 = -26
So the final result of the expression is:
-26
              317
              0.00673
              6.00
              52.83
              0

            
              OpenAIProvider('gpt-4-1106-preview')
              To find the 13th letter of the word "supralapsarian," we simply count the letters from the beginning of the word until we reach the 13th position.
The word "supralapsarian" has 14 letters in total. Let's count to the 13th letter:
1. s
2. u
3. p
4. r
5. a
6. l
7. a
8. p
9. s
10. a
11. r
12. i
13. a
The 13th letter of the word "supralapsarian" is "a".
              131
              0.00300
              2.72
              48.16
              3

            
              OpenAIProvider('gpt-4-1106-preview')
              The pronoun "he" in the sentence "Vlad's uncle can still beat him in sprinting although he is 30 years younger" refers to Vlad. The sentence is stating that despite Vlad being 30 years younger than his uncle, his uncle can still outperform him in sprinting.
              60
              0.00169
              1.44
              41.67
              3

            
              OpenAIProvider('gpt-4-1106-preview')
              To solve this problem, we need to calculate the total amount of petrol Belgium would need to have enough for 90 days and then subtract the amount they already have for 60 days.
First, let's calculate the total amount of petrol needed for 60 days:
160 million litres/day * 60 days = 9600 million litres
Now, let's calculate the total amount of petrol needed for 90 days:
160 million litres/day * 90 days = 14400 million litres
To find out how much more petrol Belgium needs to buy to have enough for 90 days, we subtract the amount they have for 60 days from the amount needed for 90 days:
14400 million litres (for 90 days) - 9600 million litres (for 60 days) = 4800 million litres
So, the answer is E) 4800 million litres.
              179
              0.00456
              3.86
              46.37
              3

            
              OpenAIProvider('gpt-4-1106-preview')
              Let's denote the three numbers as A, B, and C. According to the problem:
1. A + B + C = 96 (the sum of the three numbers is 96)
2. A = 6C (the first number is 6 times the third number)
3. C = B - 40 (the third number is 40 less than the second number)
We can use these equations to solve for the numbers. First, let's express A and C in terms of B using equations 2 and 3:
A = 6C
C = B - 40
Now we can substitute A and C in the first equation with their expressions in terms of B:
A + B + C = 96
6C + B + C = 96
B - 40 + B + B - 40 = 96 (substituting C = B - 40 into the equation)
3B - 80 = 96
3B = 96 + 80
3B = 176
B = 176 / 3
B = 58.666... (approximately)
Now that we have B, we can find C:
C = B - 40
C = 58.666... - 40
C = 18.666... (approximately)
And then we can find A:
A = 6C
A = 6 * 18.666...
A = 112 (approximately, since 6 * 18.666... is actually 112)
Now we have approximate values for A, B, and C. However, we made a rounding error in the process. Since we are dealing with whole numbers, let's correct this by not rounding:
B = 176 / 3
B = 58 + 2/3
Now let's find C exactly:
C = B - 40
C = (58 + 2/3) - 40
C = 18 + 2/3
And then A:
A = 6C
A = 6 * (18 + 2/3)
A = 6 * 18 + 6 * (2/3)
A = 108 + 4
A = 112
Now we have the exact values for A, B, and C:
A = 112
B = 58 + 2/3
C = 18 + 2/3
The absolute value of the difference between the first and second numbers is:
|A - B| = |112 - (58 + 2/3)|
|A - B| = |112 - 58 - 2/3|
|A - B| = |54 - 2/3|
|A - B| = |(162/3) - (2/3)|
|A - B| = |(162 - 2)/3|
|A - B| = |160/3|
|A - B| = 53 + 1/3
So the absolute value of the difference between the first and second numbers is 53 + 1/3.
              646
              0.01362
              11.62
              55.59
              0

            
              OpenAIProvider('gpt-4-1106-preview')
              Let's solve this step by step.
First, we are given that the least common multiple (LCM) of a positive integer n and 18 is 180. The prime factorization of 18 is 2 * 3^2. The prime factorization of 180 is 2^2 * 3^2 * 5. For 180 to be the LCM of n and 18, n must include the prime factors of 18, and it must have the additional prime factor of 5 to reach 180. Since the LCM already includes the maximum powers of 2 and 3 from 18, n must be a multiple of 5, but it cannot include any additional powers of 2 or 3 beyond what is already present in 18, otherwise, the LCM would be greater than 180.
Next, we are given that the greatest common divisor (GCD) of n and 45 is 15. The prime factorization of 45 is 3^2 * 5. The GCD of n and 45 being 15 means that n shares the prime factors 3 and 5 with 45, but not the additional factor of 3 that would make the GCD 45. Since the GCD is 15, the prime factorization of n must include 3 and 5, but not an additional 3.
Combining the information from the LCM and GCD, we can deduce that n must include at least one factor of 2 (from the LCM with 18), at least one factor of 3, and at least one factor of 5 (from the GCD with 45). However, since the LCM with 18 is 180, n cannot have more than two factors of 2 and cannot have more than two factors of 3, as that would increase the LCM beyond 180.
Therefore, the prime factorization of n must be 2 * 3 * 5 * k, where k is a factor that does not include the primes 2 or 3, otherwise, it would violate the conditions for the LCM and GCD.
Since the LCM of n and 18 is 180, and we already have 2 * 3^2 as part of 18, the only missing prime factor from 180 is 5. Therefore, k must be 5 to complete the LCM to 180.
So, n = 2 * 3 * 5 * 5 = 2 * 3 * 25 = 6 * 25 = 150.
The sum of the digits of n (which is 150) is 1 + 5 + 0 = 6.
              562
              0.01186
              11.21
              50.13
              0

            
              OpenAIProvider('gpt-4-1106-preview')
              The chess position provided is described in Forsyth-Edwards Notation (FEN), which is a standard notation for describing a particular board position of a chess game. The position is given as a single line of text and can be broken down as follows:
1. Each rank (row) is described from the 8th rank down to the 1st rank.
2. Each piece is represented by a letter: uppercase for White and lowercase for Black. 'K' stands for King, 'Q' for Queen, 'R' for Rook, 'B' for Bishop, 'N' for Knight, and 'P' for Pawn.
3. Empty squares are noted by the numbers 1 through 8, which indicate the count of consecutive empty squares along the rank.
4. Ranks are separated by slashes ('/').
Let's break down the provided position rank by rank:
8th rank: 1Bb3BN - This means there's an empty square, a White Bishop, a Black Bishop, three empty squares, a White Bishop, and a White Knight on the 8th rank.
7th rank: R2Pk2r - This means there's a White Rook, two empty squares, a Black Pawn, a Black King, two empty squares, and a Black Rook on the 7th rank.
6th rank: 1Q5B - This means there's an empty square, a White Queen, five empty squares, and a White Bishop on the 6th rank.
5th rank: 4q2R - This means there are four empty squares, a Black Queen, two empty squares, and a White Rook on the 5th rank.
4th rank: 2bN4 - This means there are two empty squares, a Black Bishop, a White Knight, and four empty squares on the 4th rank.
3rd rank: 4Q1BK - This means there are four empty squares, a White Queen, an empty square, a White Bishop, and a White King on the 3rd rank.
2nd rank: 1p6 - This means there's an empty square, a Black Pawn, and six empty squares on the 2nd rank.
1st rank: 1bq1R1rb - This means there's an empty square, a Black Bishop, a Black Queen, an empty square, a White Rook, an empty square, a Black Rook, and a Black Bishop on the 1st rank.
From this breakdown, we can see that the Black King is on the 7th rank and the 5th file (column), which corresponds to the square e7. So, the Black King is on e7.
              562
              0.01208
              12.56
              44.75
              3

            
              OpenAIProvider('gpt-4-1106-preview')
              To determine if 9677 is a prime number, we need to check if it has any divisors other than 1 and itself. A prime number is a natural number greater than 1 that has no positive divisors other than 1 and itself.
One way to check for primality is to try dividing the number by all prime numbers less than its square root. If none of the divisions result in a whole number, then the number is prime.
The square root of 9677 is approximately 98.37, so we only need to check for prime factors less than or equal to 98.
Let's check the divisibility of 9677 by the prime numbers less than 98:
2: 9677 is an odd number, so it's not divisible by 2.
3: The sum of the digits of 9677 (9 + 6 + 7 + 7 = 29) is not a multiple of 3, so 9677 is not divisible by 3.
5: 9677 does not end in 0 or 5, so it's not divisible by 5.
7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97: We would need to check the divisibility of 9677 by each of these primes.
However, to save time, we can use a calculator or a computer to check the divisibility quickly. If you do this, you will find that 9677 is divisible by 89 (9677 = 89 * 109). Since it has a divisor other than 1 and itself, 9677 is not a prime number.
              382
              0.00794
              7.65
              49.93
              0

            
              OpenAIProvider('gpt-4-1106-preview')
              To determine if there is a series of flights from city F to city I, we need to trace the connections based on the given flight information. Let's start from city F and see if we can reach city I through the available flights.
1. We start at city F.
2. There is a flight from city F to city H.
3. Now we are in city H, we need to find a flight that takes us closer to city I.
From city H, we have two options:
- A flight from city H to city K.
- A flight from city H to city N.
Neither of these flights takes us to city I or a city from which we can reach city I directly. However, we should check if there are connecting flights from cities K or N that could eventually lead us to city I.
There are no flights listed from city K or city N to any other cities, so these options are dead ends.
Since we cannot find a series of flights from city F to city I using the given information, the answer is no, there is no series of flights that goes from city F to city I.
              228
              0.00626
              4.63
              49.24
              3

            
              OpenAIProvider('gpt-4-1106-preview')
              Bob is a boy, so he counts as a brother to each of his sisters. Since Bob has 3 sisters, and each sister has 2 brothers, we can deduce that the other brother is the same in each case. This means that Bob has only one brother, because we are counting Bob as one of the brothers for each sister. 
So, Bob has 1 brother.
              79
              0.00204
              2.01
              39.30
              3

            
              OpenAIProvider('gpt-4-1106-preview')
              
              Total Tokens: 6738
              Total Cost: 0.15433
              Median Latency: 4.08
              Aggregated speed: 48.90
              Accuracy: 73.08%

            
              OpenAIProvider('gpt-4')
              You should pull the door. The word 'push' is in reverse because it is intended to be read from the other side. When you are on the side where the text is reversed, it means you are on the 'pull' side of the door.
              52
              0.00453
              4.21
              12.35
              3

            
              OpenAIProvider('gpt-4')
              Step 1: Identify the coefficients in the quadratic equation. In the equation x^2 - 5x + 6 = 0, the coefficients are a=1 (coefficient of x^2), b=-5 (coefficient of x), and c=6 (constant term).
Step 2: Use the quadratic formula to solve for x. The quadratic formula is x = [-b ± sqrt(b^2 - 4ac)] / (2a).
Step 3: Substitute the coefficients into the quadratic formula.
x = [5 ± sqrt((-5)^2 - 4*1*6)] / (2*1)
x = [5 ± sqrt(25 - 24)] / 2
x = [5 ± sqrt(1)] / 2
Step 4: Solve for x.
x = [5 + 1] / 2 or x = [5 - 1] / 2
x = 6 / 2 or x = 4 / 2
x = 3 or x = 2
So, the solutions to the quadratic equation x^2 - 5x + 6 = 0 are x = 3 and x = 2.
              251
              0.01629
              24.53
              10.23
              3

            
              OpenAIProvider('gpt-4')
              First, we need to calculate the factorial of 7 and 3. 
The factorial of a number is the product of all positive integers less than or equal to that number. 
So, 7! = 7 * 6 * 5 * 4 * 3 * 2 * 1 = 5040
And, 3! = 3 * 2 * 1 = 6
Next, we multiply these two results together: 5040 * 6 = 30240
Finally, we subtract 1234.5 from this result: 30240 - 1234.5 = 29005.5
So, 7! * 3! - 1234.5 = 29005.5
              156
              0.01050
              15.19
              10.27
              3

            
              OpenAIProvider('gpt-4')
              "Es war un beau jour ce Donnerstag und ich want skier dehors. Es hat commencé à pleuvoir bald obwohl sie sagten, es ne serait pas bis Freitag, so ich suis allé à la piscine stattdessen."
              56
              0.00546
              4.87
              11.50
              3

            
              OpenAIProvider('gpt-4')
              Taipei, Taiwan is 16 hours ahead of Pacific Standard Time (PST). Therefore, if it's December 21, 1:50 PM in PST, it would be December 22, 5:50 AM in Taipei time.
              50
              0.00411
              5.00
              10.00
              3

            
              OpenAIProvider('gpt-4')
              The ball is likely in your bedroom. When you turned the cup upside down, the ball would have fallen out onto your bed. Unless you picked it up and moved it, it should still be there.
              41
              0.00462
              5.83
              7.03
              3

            
              OpenAIProvider('gpt-4')
              Local phrases unite Northern Ireland, despite cultural divisions.
              10
              0.00840
              1.37
              7.30
              3

            
              OpenAIProvider('gpt-4')
              Here is the Python function:
```python
def length_of_LIS(nums):
    if not nums:
        return 0
    dp = [1] * len(nums)
    for i in range(len(nums)):
        for j in range(i):
            if nums[i] > nums[j]:
                dp[i] = max(dp[i], dp[j] + 1)
    return max(dp)
```
Example usage:
```python
print(length_of_LIS([10, 9, 2, 5, 3, 7, 101, 18]))  # Output: 4
print(length_of_LIS([0, 1, 0, 3, 2, 3]))  # Output: 4
print(length_of_LIS([7, 7, 7, 7, 7, 7, 7]))  # Output: 1
```
The function `length_of_LIS` takes a list of integers `nums` as input. It first checks if `nums` is empty, and if so, it returns 0. Then it creates a list `dp` of the same length as `nums`, where each element is 1. This list will be used to store the length of the longest increasing subsequence ending at each index of `nums`.
The function then iterates over `nums` twice, with the outer loop variable `i` ranging from 0 to the length of `nums`, and the inner loop variable `j` ranging from 0 to `i`. For each pair of indices `(i, j)`, if `nums[i]` is greater than `nums[j]`, it updates `dp[i]` to be the maximum of its current value and `dp[j] + 1`. This is because if `nums[i]` is greater than `nums[j]`, then `nums[i]` can be appended to the increasing subsequence ending at `j`, resulting in an increasing subsequence of length `dp[j] + 1`.
Finally, the function returns the maximum value in `dp`, which is the length of the longest increasing subsequence in `nums`.
              447
              0.03000
              42.87
              10.43
              0

            
              OpenAIProvider('gpt-4')
              Here is the Python function:
```python
def max_sum_non_adjacent(nums):
    if not nums:
        return 0
    include = 0
    exclude = 0
    for num in nums:
        new_exclude = max(include, exclude)
        include = exclude + num
        exclude = new_exclude
    return max(include, exclude)
```
Here is an example usage:
```python
nums = [5, 1, 1, 5]
print(max_sum_non_adjacent(nums))  # Output: 10
```
              115
              0.00987
              9.42
              12.21
              3

            
              OpenAIProvider('gpt-4')
              Here is a Python function that finds the largest and third largest integer in a list. This function assumes that the list has at least three unique integers. If the list has less than three unique integers, the function will return None for the third largest integer.
```python
def find_largest_and_third_largest(lst):
    # First, we remove duplicates from the list by converting it to a set
    unique_lst = set(lst)
    
    # Then, we convert the set back to a list and sort it in descending order
    sorted_lst = sorted(list(unique_lst), reverse=True)
    
    # The largest integer is the first element in the sorted list
    largest = sorted_lst[0]
    
    # The third largest integer is the third element in the sorted list, if it exists
    third_largest = sorted_lst[2] if len(sorted_lst) >= 3 else None
    
    return largest, third_largest
```
You can use this function like this:
```python
lst = [1, 2, 3, 4, 5]
largest, third_largest = find_largest_and_third_largest(lst)
print("Largest:", largest)  # Outputs: Largest: 5
print("Third largest:", third_largest)  # Outputs: Third largest: 3
```
This function works by first removing duplicates from the list, then sorting the list in descending order. The largest integer is the first element in the sorted list, and the third largest integer is the third element in the sorted list. If the list has less than three unique integers, the function returns None for the third largest integer.
              340
              0.02151
              30.72
              11.07
              3

            
              OpenAIProvider('gpt-4')
              Here is a JavaScript function that solves the problem using a dynamic programming approach. The time complexity of this solution is O(m*n), where m and n are the dimensions of the input matrix.
```javascript
function maximalRectangle(matrix) {
    if(matrix.length === 0) return 0;
    let m = matrix.length;
    let n = matrix[0].length;
    let left = new Array(n).fill(0);
    let right = new Array(n).fill(n);
    let height = new Array(n).fill(0);
    let maxArea = 0;
    for(let i = 0; i < m; i++) {
        let cur_left = 0, cur_right = n;
        for(let j = 0; j < n; j++) {
            if(matrix[i][j] === '1') height[j]++;
            else height[j] = 0;
        }
        for(let j = 0; j < n; j++) {
            if(matrix[i][j] === '1') left[j] = Math.max(left[j], cur_left);
            else {left[j] = 0; cur_left = j + 1;}
        }
        for(let j = n - 1; j >= 0; j--) {
            if(matrix[i][j] === '1') right[j] = Math.min(right[j], cur_right);
            else {right[j] = n; cur_right = j;}
        }
        for(let j = 0; j < n; j++)
            maxArea = Math.max(maxArea, (right[j] - left[j]) * height[j]);
    }
    return maxArea;
}
```
Example usage:
```javascript
let matrix = [
    ['1', '0', '1', '0', '0'],
    ['1', '0', '1', '1', '1'],
    ['1', '1', '1', '1', '1'],
    ['1', '0', '0', '1', '0']
];
console.log(maximalRectangle(matrix));  // Outputs: 6
```
In this example, the largest rectangle of 1's has an area of 6.
              456
              0.03057
              41.17
              11.08
              3

            
              OpenAIProvider('gpt-4')
              The clean names, email addresses, and phone numbers extracted from the given data are:
1. Name: John Doe
   Email: johndoe@email.com
   Phone: 5551234567
2. Name: Jane Smith
   Email: janesmith@email.com
   Phone: 555987643
3. Name: Bob Johnson
   Email: firstname.lastname.wild@email.com
   Phone: 5551112222
              92
              0.01056
              8.82
              10.43
              2

            
              OpenAIProvider('gpt-4')
              To count the number of 't' in the string 'eeooeotetto', you would go through each character in the string one by one and keep a count of how many times 't' appears.
Starting from the beginning of the string:
- 'e' is not 't', so you move on.
- 'e' is not 't', so you move on.
- 'o' is not 't', so you move on.
- 'o' is not 't', so you move on.
- 'e' is not 't', so you move on.
- 'o' is not 't', so you move on.
- 't' is 't', so you add 1 to your count.
- 'e' is not 't', so you move on.
- 't' is 't', so you add 1 to your count.
- 't' is 't', so you add 1 to your count.
- 'o' is not 't', so you move on.
So, the total count of 't' in the string 'eeooeotetto' is 3.
              237
              0.01524
              19.97
              11.87
              3

            
              OpenAIProvider('gpt-4')
              Under this rule, the word "peach" would be spelled as "mango".
              18
              0.00276
              2.15
              8.37
              3

            
              OpenAIProvider('gpt-4')
              If two workers can paint the fence in 8 hours, then one worker would take twice as long, or 16 hours, to paint the fence alone. 
However, if the worker needs to take a 30-minute break after every hour of work, then the actual time spent working each hour is only 30 minutes. Therefore, the worker is effectively only working half as fast as normal. 
So, if the worker was able to paint the fence in 16 hours without breaks, with breaks the time would double to 32 hours.
              110
              0.00846
              9.06
              12.14
              0

            
              OpenAIProvider('gpt-4')
              First, add all the numbers together: 5 + 55 + 555 + 5555 + 55555 = 62225
Then, subtract 1725 from the total: 62225 - 1725 = 60500
So, 5+55+555+5555+55555-1725 = 60500.
              73
              0.00549
              7.65
              9.54
              0

            
              OpenAIProvider('gpt-4')
              First, we need to understand the order of operations, also known as BIDMAS or PEMDAS: Brackets/parentheses, Indices/Exponents, Division and Multiplication (from left to right), Addition and Subtraction (from left to right).
The given expression is -2-2-2-2-2-2*-2*-2.
There are no brackets or exponents in this expression, so we move on to multiplication and division. 
We have two multiplication operations: -2*-2 and -2*-2. Both of these equal to 4 because the multiplication of two negative numbers gives a positive number.
So, the expression becomes -2-2-2-2+4+4.
Now, we perform the addition and subtraction from left to right.
-2 - 2 = -4
-4 - 2 = -6
-6 - 2 = -8
-8 + 4 = -4
-4 + 4 = 0
So, -2-2-2-2-2-2*-2*-2 equals 0.
              228
              0.01485
              12.86
              17.73
              0

            
              OpenAIProvider('gpt-4')
              The word "supralapsarian" has 13 letters. So, the 13th letter of the word "supralapsarian" is "n".
              33
              0.00312
              4.12
              8.01
              0

            
              OpenAIProvider('gpt-4')
              "He" is referring to Vlad's uncle.
              9
              0.00201
              1.32
              6.82
              0

            
              OpenAIProvider('gpt-4')
              Belgium uses 160 million litres of petrol each day. If there is enough petrol stored to last 60 days, that means there are 160 million litres/day * 60 days = 9600 million litres of petrol stored.
If Belgium wants to have enough petrol stored for 90 days, they would need 160 million litres/day * 90 days = 14400 million litres of petrol.
Therefore, Belgium needs to buy 14400 million litres - 9600 million litres = 4800 million litres more petrol to have enough stored for 90 days.
So, the answer is E) 4800 million litres.
              128
              0.01062
              11.78
              10.87
              3

            
              OpenAIProvider('gpt-4')
              Let's denote the three numbers as a, b, and c. We know that:
a + b + c = 96
a = 6c
c = b - 40
We can substitute the second and third equations into the first one:
6c + b + b - 40 = 96
7c + 2b = 136
b = (136 - 7c) / 2
Since c = b - 40, we can substitute b in terms of c into this equation:
c = (136 - 7c) / 2 - 40
2c = 136 - 7c - 80
9c = 56
c = 56 / 9
Substitute c back into the equation a = 6c:
a = 6 * (56 / 9) = 224 / 3
And substitute c into the equation b = (136 - 7c) / 2:
b = (136 - 7 * (56 / 9)) / 2 = 400 / 9
The absolute value of the difference between the first and second numbers is |a - b| = |(224 / 3) - (400 / 9)| = |672 - 1200| / 27 = 528 / 27 = 19.56 (rounded to two decimal places).
              288
              0.01938
              26.81
              10.74
              0

            
              OpenAIProvider('gpt-4')
              First, we need to find the prime factorization of 18 and 180. The prime factorization of 18 is 2*3^2 and the prime factorization of 180 is 2^2*3^2*5. Since the least common multiple of n and 18 is 180, n must be divisible by 5. 
Next, we know that the greatest common divisor of n and 45 is 15. The prime factorization of 45 is 3^2*5 and the prime factorization of 15 is 3*5. Since the greatest common divisor of n and 45 is 15, n must be divisible by 3 and 5, but not 3^2.
Therefore, n must be divisible by 2, 3, and 5, but not 3^2. The smallest such number is 2*3*5 = 30. 
The sum of the digits of 30 is 3 + 0 = 3.
              210
              0.01446
              11.51
              18.25
              0

            
              OpenAIProvider('gpt-4')
              The black king is on the square e7 in this chess position.
              14
              0.00336
              1.06
              13.21
              3

            
              OpenAIProvider('gpt-4')
              To determine if 9677 is a prime number, we need to check if it has any divisors other than 1 and itself.
A prime number is a natural number greater than 1 that has no positive divisors other than 1 and itself. The first few prime numbers are 2, 3, 5, 7, 11, and 13.
For a number to be prime, it must be divisible by only 1 and itself. If we can find any other number that divides 9677, then it is not a prime number.
We can start by checking if 9677 is divisible by the smallest prime numbers like 2, 3, 5, 7, 11, and so on.
First, 9677 is an odd number, so it's not divisible by 2.
Next, to check if it's divisible by 3, we can add up its digits: 9 + 6 + 7 + 7 = 29. Since 29 is not divisible by 3, neither is 9677.
We can continue this process, but to save time, we can also observe that 9677 is divisible by 7 (because 9677 / 7 = 1381 with no remainder), so 9677 is not a prime number.
              271
              0.01716
              31.69
              8.55
              0

            
              OpenAIProvider('gpt-4')
              Yes, there is a series of flights that goes from city F to city I. Here is the series:
1. Take the flight from city F to city H.
2. From city H, take the flight to city K.
3. Unfortunately, there are no direct flights from city K to any other city, so this route does not work.
Let's try another route:
1. Take the flight from city F to city H.
2. From city H, take the flight to city N.
3. Unfortunately, there are no direct flights from city N to any other city, so this route also does not work.
It seems there is no series of flights that goes from city F to city I based on the current flight information.
              150
              0.01410
              13.37
              11.22
              3

            
              OpenAIProvider('gpt-4')
              Bob has 2 brothers. Each of Bob's sisters has 2 brothers, which includes Bob himself and the other 2 boys in the family.
              30
              0.00318
              3.45
              8.70
              0

            
              OpenAIProvider('gpt-4')
              
              Total Tokens: 3865
              Total Cost: 0.29061
              Median Latency: 9.24
              Aggregated speed: 11.02
              Accuracy: 60.26%