Prompt:
from typing import List, Dict, Tuple, Union, Optional

def f1(numbers: List[float], threshold: float) -> bool:
    """
    f1: List[float] -> float -> bool
    assert f1([1.0, 2.0, 3.9, 4.0, 5.0, 2.2], 0.3) == True
    assert f1([1.0, 2.0, 3.9, 4.0, 5.0, 2.2], 0.05) == False
    assert f1([1.0, 2.0, 5.9, 4.0, 5.0], 0.95) == True
    """
    for idx, elem in enumerate(numbers):
        for idx2, elem2 in enumerate(numbers):
            if idx != idx2:
                distance = abs(elem - elem2)
                if distance < threshold:
                    return True

    return False

#  Rust f1 translation
fn has_close_elements(numbers: Vec<f64>, threshold: f64) -> bool {
    for idx in 0..numbers.len() {
        for idx2 in 0..numbers.len() {
            if idx != idx2 {
                let distance = (numbers[idx] - numbers[idx2]).abs();
                if distance < threshold {
                    return true;
                }
            }
        }
    }

    return false;
}
def f2(paren_string: str) -> List[str]:
    """
    f2: str -> List[str]
    assert f2('(()()) ((())) () ((())()())') == [
        '(()())', '((()))', '()', '((())()())'
    ]
    assert f2('() (()) ((())) (((())))') == [
        '()', '(())', '((()))', '(((())))'
    ]
    assert f2('(()(())((())))') == [
        '(()(())((())))'
    ]
    assert f2('( ) (( )) (( )( ))') == ['()', '(())', '(()())']
    """
    result = []
    current_string = []
    current_depth = 0

    for c in paren_string:
        if c == '(':
            current_depth += 1
            current_string.append(c)
        elif c == ')':
            current_depth -= 1
            current_string.append(c)

            if current_depth == 0:
                result.append(''.join(current_string))
                current_string.clear()

    return result

# Rust f2 translation
fn f2(paren_string: &str) -> Vec<String> {
    let mut result = Vec::new();
    let mut current_string = String::new();
    let mut current_depth = 0;

    for c in paren_string.chars() {
        if c == '(' {
            current_depth += 1;
            current_string.push(c);
        } else if c == ')' {
            current_depth -= 1;
            current_string.push(c);

            if current_depth == 0 {
                result.push(current_string);
                current_string = String::new();
            }
        }
    }

    return result;
}

def f3(number: float) -> float:
    """
    f3: float -> float
    assert f3(3.5) == 0.5
    assert abs(f3(1.33) - 0.33) < 1e-6
    assert abs(f3(123.456) - 0.456) < 1e-6
    """
    return number % 1.0

# Rust f3 translation
fn f3(number: f64) -> f64 {
    return number % 1.0;
}

def f4(a, b):
    """
    Complete the function that takes two integers and returns the product of their unit digits.
    f4: int -> int -> int
    assert f4(148, 412) == 16,
    assert f4(19, 28) == 72,
    assert f4(2020, 1851) == 0
    assert f4(3,3) == 9
    assert f4(12,33) == 6
    """
    return abs(a % 10) * abs(b % 10)

# Rust f4 translation
fn f4(a: i32, b: i32) -> i32 {
    return (a % 10).abs() * (b % 10).abs();
}

def f5(xs: List[int]) -> List[int]:
    """
    xs represent coefficients of a polynomial.
    f5: List[int] -> List[int]
    assert f5([3, 1, 2, 4, 5]) == [1, 4, 12, 20]
    assert f5([1, 2, 3]) == [2, 6]
    assert f5([3, 2, 1]) == [2, 2]
    assert f5([3, 2, 1, 0, 4]) == [2, 2, 0, 16]
    assert f5([1]) == []
    """
    return [(i * x) for i, x in enumerate(xs)][1:]

# Rust f5 translation
fn f5(xs: Vec<i32>) -> Vec<i32> {
    return xs.iter().enumerate().map(|(i, x)| i as i32 * x).skip(1).collect();
}

from typing import List

def f6(numbers: List[float], threshold: float) -> bool:
    """ Check if in given list of numbers, are any two numbers closer to each other than
    given threshold. 	assert f6([1.0, 2.0, 3.9, 4.0, 5.0, 2.2], 0.3) == True, "Test 0"
	assert f6([1.0, 2.0, 3.9, 4.0, 5.0, 2.2], 0.05) == False,"Test 1"
	assert f6([1.0, 2.0, 5.9, 4.0, 5.0], 0.95) == True,"Test 2"
	assert f6([1.0, 2.0, 5.9, 4.0, 5.0], 0.8) == False,"Test 3"
	assert f6([1.0, 2.0, 3.0, 4.0, 5.0, 2.0], 0.1) == True,"Test 4"
	assert f6([1.1, 2.2, 3.1, 4.1, 5.1], 1.0) == True,"Test 5"
	assert f6([1.1, 2.2, 3.1, 4.1, 5.1], 0.5) == False,"Test 6"
	"""
    for idx, elem in enumerate(numbers):
        for idx2, elem2 in enumerate(numbers):
            if idx != idx2:
                distance = abs(elem - elem2)
                if distance < threshold:
                    return True

    return False

# Rust f6 translation


Prompt:
from typing import List, Dict, Tuple, Union, Optional

def f1(numbers: List[float], threshold: float) -> bool:
    """
    f1: List[float] -> float -> bool
    assert f1([1.0, 2.0, 3.9, 4.0, 5.0, 2.2], 0.3) == True
    assert f1([1.0, 2.0, 3.9, 4.0, 5.0, 2.2], 0.05) == False
    assert f1([1.0, 2.0, 5.9, 4.0, 5.0], 0.95) == True
    """
    for idx, elem in enumerate(numbers):
        for idx2, elem2 in enumerate(numbers):
            if idx != idx2:
                distance = abs(elem - elem2)
                if distance < threshold:
                    return True

    return False

#  Rust f1 translation
fn has_close_elements(numbers: Vec<f64>, threshold: f64) -> bool {
    for idx in 0..numbers.len() {
        for idx2 in 0..numbers.len() {
            if idx != idx2 {
                let distance = (numbers[idx] - numbers[idx2]).abs();
                if distance < threshold {
                    return true;
                }
            }
        }
    }

    return false;
}
def f2(paren_string: str) -> List[str]:
    """
    f2: str -> List[str]
    assert f2('(()()) ((())) () ((())()())') == [
        '(()())', '((()))', '()', '((())()())'
    ]
    assert f2('() (()) ((())) (((())))') == [
        '()', '(())', '((()))', '(((())))'
    ]
    assert f2('(()(())((())))') == [
        '(()(())((())))'
    ]
    assert f2('( ) (( )) (( )( ))') == ['()', '(())', '(()())']
    """
    result = []
    current_string = []
    current_depth = 0

    for c in paren_string:
        if c == '(':
            current_depth += 1
            current_string.append(c)
        elif c == ')':
            current_depth -= 1
            current_string.append(c)

            if current_depth == 0:
                result.append(''.join(current_string))
                current_string.clear()

    return result

# Rust f2 translation
fn f2(paren_string: &str) -> Vec<String> {
    let mut result = Vec::new();
    let mut current_string = String::new();
    let mut current_depth = 0;

    for c in paren_string.chars() {
        if c == '(' {
            current_depth += 1;
            current_string.push(c);
        } else if c == ')' {
            current_depth -= 1;
            current_string.push(c);

            if current_depth == 0 {
                result.push(current_string);
                current_string = String::new();
            }
        }
    }

    return result;
}

def f3(number: float) -> float:
    """
    f3: float -> float
    assert f3(3.5) == 0.5
    assert abs(f3(1.33) - 0.33) < 1e-6
    assert abs(f3(123.456) - 0.456) < 1e-6
    """
    return number % 1.0

# Rust f3 translation
fn f3(number: f64) -> f64 {
    return number % 1.0;
}

def f4(a, b):
    """
    Complete the function that takes two integers and returns the product of their unit digits.
    f4: int -> int -> int
    assert f4(148, 412) == 16,
    assert f4(19, 28) == 72,
    assert f4(2020, 1851) == 0
    assert f4(3,3) == 9
    assert f4(12,33) == 6
    """
    return abs(a % 10) * abs(b % 10)

# Rust f4 translation
fn f4(a: i32, b: i32) -> i32 {
    return (a % 10).abs() * (b % 10).abs();
}

def f5(xs: List[int]) -> List[int]:
    """
    xs represent coefficients of a polynomial.
    f5: List[int] -> List[int]
    assert f5([3, 1, 2, 4, 5]) == [1, 4, 12, 20]
    assert f5([1, 2, 3]) == [2, 6]
    assert f5([3, 2, 1]) == [2, 2]
    assert f5([3, 2, 1, 0, 4]) == [2, 2, 0, 16]
    assert f5([1]) == []
    """
    return [(i * x) for i, x in enumerate(xs)][1:]

# Rust f5 translation
fn f5(xs: Vec<i32>) -> Vec<i32> {
    return xs.iter().enumerate().map(|(i, x)| i as i32 * x).skip(1).collect();
}

from typing import List

def f6(paren_string: str) -> List[str]:
    """ Input to this function is a string containing multiple groups of nested parentheses. Your goal is to
    separate those group into separate strings and return the list of those.
    Separate groups are balanced (each open brace is properly closed) and not nested within each other
    Ignore any spaces in the input string. 	assert f6('(()()) ((())) () ((())()())') == ['(()())', '((()))', '()', '((())()())'], "Test 0"
	assert f6('() (()) ((())) (((())))') == ['()', '(())', '((()))', '(((())))'], "Test 1"
	assert f6('(()(())((())))') == ['(()(())((())))'], "Test 2"
	assert f6('( ) (( )) (( )( ))') == ['()', '(())', '(()())'], "Test 3"
	"""
    result = []
    current_string = []
    current_depth = 0

    for c in paren_string:
        if c == '(':
            current_depth += 1
            current_string.append(c)
        elif c == ')':
            current_depth -= 1
            current_string.append(c)

            if current_depth == 0:
                result.append(''.join(current_string))
                current_string.clear()

    return result

# Rust f6 translation


Prompt:
from typing import List, Dict, Tuple, Union, Optional

def f1(numbers: List[float], threshold: float) -> bool:
    """
    f1: List[float] -> float -> bool
    assert f1([1.0, 2.0, 3.9, 4.0, 5.0, 2.2], 0.3) == True
    assert f1([1.0, 2.0, 3.9, 4.0, 5.0, 2.2], 0.05) == False
    assert f1([1.0, 2.0, 5.9, 4.0, 5.0], 0.95) == True
    """
    for idx, elem in enumerate(numbers):
        for idx2, elem2 in enumerate(numbers):
            if idx != idx2:
                distance = abs(elem - elem2)
                if distance < threshold:
                    return True

    return False

#  Rust f1 translation
fn has_close_elements(numbers: Vec<f64>, threshold: f64) -> bool {
    for idx in 0..numbers.len() {
        for idx2 in 0..numbers.len() {
            if idx != idx2 {
                let distance = (numbers[idx] - numbers[idx2]).abs();
                if distance < threshold {
                    return true;
                }
            }
        }
    }

    return false;
}
def f2(paren_string: str) -> List[str]:
    """
    f2: str -> List[str]
    assert f2('(()()) ((())) () ((())()())') == [
        '(()())', '((()))', '()', '((())()())'
    ]
    assert f2('() (()) ((())) (((())))') == [
        '()', '(())', '((()))', '(((())))'
    ]
    assert f2('(()(())((())))') == [
        '(()(())((())))'
    ]
    assert f2('( ) (( )) (( )( ))') == ['()', '(())', '(()())']
    """
    result = []
    current_string = []
    current_depth = 0

    for c in paren_string:
        if c == '(':
            current_depth += 1
            current_string.append(c)
        elif c == ')':
            current_depth -= 1
            current_string.append(c)

            if current_depth == 0:
                result.append(''.join(current_string))
                current_string.clear()

    return result

# Rust f2 translation
fn f2(paren_string: &str) -> Vec<String> {
    let mut result = Vec::new();
    let mut current_string = String::new();
    let mut current_depth = 0;

    for c in paren_string.chars() {
        if c == '(' {
            current_depth += 1;
            current_string.push(c);
        } else if c == ')' {
            current_depth -= 1;
            current_string.push(c);

            if current_depth == 0 {
                result.push(current_string);
                current_string = String::new();
            }
        }
    }

    return result;
}

def f3(number: float) -> float:
    """
    f3: float -> float
    assert f3(3.5) == 0.5
    assert abs(f3(1.33) - 0.33) < 1e-6
    assert abs(f3(123.456) - 0.456) < 1e-6
    """
    return number % 1.0

# Rust f3 translation
fn f3(number: f64) -> f64 {
    return number % 1.0;
}

def f4(a, b):
    """
    Complete the function that takes two integers and returns the product of their unit digits.
    f4: int -> int -> int
    assert f4(148, 412) == 16,
    assert f4(19, 28) == 72,
    assert f4(2020, 1851) == 0
    assert f4(3,3) == 9
    assert f4(12,33) == 6
    """
    return abs(a % 10) * abs(b % 10)

# Rust f4 translation
fn f4(a: i32, b: i32) -> i32 {
    return (a % 10).abs() * (b % 10).abs();
}

def f5(xs: List[int]) -> List[int]:
    """
    xs represent coefficients of a polynomial.
    f5: List[int] -> List[int]
    assert f5([3, 1, 2, 4, 5]) == [1, 4, 12, 20]
    assert f5([1, 2, 3]) == [2, 6]
    assert f5([3, 2, 1]) == [2, 2]
    assert f5([3, 2, 1, 0, 4]) == [2, 2, 0, 16]
    assert f5([1]) == []
    """
    return [(i * x) for i, x in enumerate(xs)][1:]

# Rust f5 translation
fn f5(xs: Vec<i32>) -> Vec<i32> {
    return xs.iter().enumerate().map(|(i, x)| i as i32 * x).skip(1).collect();
}

def f6(number: float) -> float:
    """ Given a positive floating point number, it can be decomposed into
    and integer part (largest integer smaller than given number) and decimals
    (leftover part always smaller than 1).

    Return the decimal part of the number. 	assert f6(3.5) == 0.5,"Test 0"
	assert abs(f6(1.33) - 0.33) < 1e-6,"Test 1"
	assert abs(f6(123.456) - 0.456) < 1e-6,"Test 2"
	"""
    return number % 1.0

# Rust f6 translation

def check(candidate):
    assert candidate(3.5) == 0.5,"Test 0"
    assert abs(candidate(1.33) - 0.33) < 1e-6,"Test 1"
    assert abs(candidate(123.456) - 0.456) < 1e-6,"Test 2"


Prompt:
from typing import List, Dict, Tuple, Union, Optional

def f1(numbers: List[float], threshold: float) -> bool:
    """
    f1: List[float] -> float -> bool
    assert f1([1.0, 2.0, 3.9, 4.0, 5.0, 2.2], 0.3) == True
    assert f1([1.0, 2.0, 3.9, 4.0, 5.0, 2.2], 0.05) == False
    assert f1([1.0, 2.0, 5.9, 4.0, 5.0], 0.95) == True
    """
    for idx, elem in enumerate(numbers):
        for idx2, elem2 in enumerate(numbers):
            if idx != idx2:
                distance = abs(elem - elem2)
                if distance < threshold:
                    return True

    return False

#  Rust f1 translation
fn has_close_elements(numbers: Vec<f64>, threshold: f64) -> bool {
    for idx in 0..numbers.len() {
        for idx2 in 0..numbers.len() {
            if idx != idx2 {
                let distance = (numbers[idx] - numbers[idx2]).abs();
                if distance < threshold {
                    return true;
                }
            }
        }
    }

    return false;
}
def f2(paren_string: str) -> List[str]:
    """
    f2: str -> List[str]
    assert f2('(()()) ((())) () ((())()())') == [
        '(()())', '((()))', '()', '((())()())'
    ]
    assert f2('() (()) ((())) (((())))') == [
        '()', '(())', '((()))', '(((())))'
    ]
    assert f2('(()(())((())))') == [
        '(()(())((())))'
    ]
    assert f2('( ) (( )) (( )( ))') == ['()', '(())', '(()())']
    """
    result = []
    current_string = []
    current_depth = 0

    for c in paren_string:
        if c == '(':
            current_depth += 1
            current_string.append(c)
        elif c == ')':
            current_depth -= 1
            current_string.append(c)

            if current_depth == 0:
                result.append(''.join(current_string))
                current_string.clear()

    return result

# Rust f2 translation
fn f2(paren_string: &str) -> Vec<String> {
    let mut result = Vec::new();
    let mut current_string = String::new();
    let mut current_depth = 0;

    for c in paren_string.chars() {
        if c == '(' {
            current_depth += 1;
            current_string.push(c);
        } else if c == ')' {
            current_depth -= 1;
            current_string.push(c);

            if current_depth == 0 {
                result.push(current_string);
                current_string = String::new();
            }
        }
    }

    return result;
}

def f3(number: float) -> float:
    """
    f3: float -> float
    assert f3(3.5) == 0.5
    assert abs(f3(1.33) - 0.33) < 1e-6
    assert abs(f3(123.456) - 0.456) < 1e-6
    """
    return number % 1.0

# Rust f3 translation
fn f3(number: f64) -> f64 {
    return number % 1.0;
}

def f4(a, b):
    """
    Complete the function that takes two integers and returns the product of their unit digits.
    f4: int -> int -> int
    assert f4(148, 412) == 16,
    assert f4(19, 28) == 72,
    assert f4(2020, 1851) == 0
    assert f4(3,3) == 9
    assert f4(12,33) == 6
    """
    return abs(a % 10) * abs(b % 10)

# Rust f4 translation
fn f4(a: i32, b: i32) -> i32 {
    return (a % 10).abs() * (b % 10).abs();
}

def f5(xs: List[int]) -> List[int]:
    """
    xs represent coefficients of a polynomial.
    f5: List[int] -> List[int]
    assert f5([3, 1, 2, 4, 5]) == [1, 4, 12, 20]
    assert f5([1, 2, 3]) == [2, 6]
    assert f5([3, 2, 1]) == [2, 2]
    assert f5([3, 2, 1, 0, 4]) == [2, 2, 0, 16]
    assert f5([1]) == []
    """
    return [(i * x) for i, x in enumerate(xs)][1:]

# Rust f5 translation
fn f5(xs: Vec<i32>) -> Vec<i32> {
    return xs.iter().enumerate().map(|(i, x)| i as i32 * x).skip(1).collect();
}

from typing import List

def f6(operations: List[int]) -> bool:
    """ You're given a list of deposit and withdrawal operations on a bank account that starts with
    zero balance. Your task is to detect if at any point the balance of account fallls below zero, and
	assert f6([]) == False,"Test 0"
	assert f6([1, 2, -3, 1, 2, -3]) == False,"Test 1"
	assert f6([1, 2, -4, 5, 6]) == True,"Test 2"
	assert f6([1, -1, 2, -2, 5, -5, 4, -4]) == False,"Test 3"
	assert f6([1, -1, 2, -2, 5, -5, 4, -5]) == True,"Test 4"
	assert f6([1, -2, 2, -2, 5, -5, 4, -4]) == True,"Test 5"
	"""
    balance = 0

    for op in operations:
        balance += op
        if balance < 0:
            return True

    return False

# Rust f6 translation

def check(candidate):
    assert candidate([]) == False,"Test 0"
    assert candidate([1, 2, -3, 1, 2, -3]) == False,"Test 1"
    assert candidate([1, 2, -4, 5, 6]) == True,"Test 2"
    assert candidate([1, -1, 2, -2, 5, -5, 4, -4]) == False,"Test 3"
    assert candidate([1, -1, 2, -2, 5, -5, 4, -5]) == True,"Test 4"
    assert candidate([1, -2, 2, -2, 5, -5, 4, -4]) == True,"Test 5"


Prompt:
from typing import List, Dict, Tuple, Union, Optional

def f1(numbers: List[float], threshold: float) -> bool:
    """
    f1: List[float] -> float -> bool
    assert f1([1.0, 2.0, 3.9, 4.0, 5.0, 2.2], 0.3) == True
    assert f1([1.0, 2.0, 3.9, 4.0, 5.0, 2.2], 0.05) == False
    assert f1([1.0, 2.0, 5.9, 4.0, 5.0], 0.95) == True
    """
    for idx, elem in enumerate(numbers):
        for idx2, elem2 in enumerate(numbers):
            if idx != idx2:
                distance = abs(elem - elem2)
                if distance < threshold:
                    return True

    return False

#  Rust f1 translation
fn has_close_elements(numbers: Vec<f64>, threshold: f64) -> bool {
    for idx in 0..numbers.len() {
        for idx2 in 0..numbers.len() {
            if idx != idx2 {
                let distance = (numbers[idx] - numbers[idx2]).abs();
                if distance < threshold {
                    return true;
                }
            }
        }
    }

    return false;
}
def f2(paren_string: str) -> List[str]:
    """
    f2: str -> List[str]
    assert f2('(()()) ((())) () ((())()())') == [
        '(()())', '((()))', '()', '((())()())'
    ]
    assert f2('() (()) ((())) (((())))') == [
        '()', '(())', '((()))', '(((())))'
    ]
    assert f2('(()(())((())))') == [
        '(()(())((())))'
    ]
    assert f2('( ) (( )) (( )( ))') == ['()', '(())', '(()())']
    """
    result = []
    current_string = []
    current_depth = 0

    for c in paren_string:
        if c == '(':
            current_depth += 1
            current_string.append(c)
        elif c == ')':
            current_depth -= 1
            current_string.append(c)

            if current_depth == 0:
                result.append(''.join(current_string))
                current_string.clear()

    return result

# Rust f2 translation
fn f2(paren_string: &str) -> Vec<String> {
    let mut result = Vec::new();
    let mut current_string = String::new();
    let mut current_depth = 0;

    for c in paren_string.chars() {
        if c == '(' {
            current_depth += 1;
            current_string.push(c);
        } else if c == ')' {
            current_depth -= 1;
            current_string.push(c);

            if current_depth == 0 {
                result.push(current_string);
                current_string = String::new();
            }
        }
    }

    return result;
}

def f3(number: float) -> float:
    """
    f3: float -> float
    assert f3(3.5) == 0.5
    assert abs(f3(1.33) - 0.33) < 1e-6
    assert abs(f3(123.456) - 0.456) < 1e-6
    """
    return number % 1.0

# Rust f3 translation
fn f3(number: f64) -> f64 {
    return number % 1.0;
}

def f4(a, b):
    """
    Complete the function that takes two integers and returns the product of their unit digits.
    f4: int -> int -> int
    assert f4(148, 412) == 16,
    assert f4(19, 28) == 72,
    assert f4(2020, 1851) == 0
    assert f4(3,3) == 9
    assert f4(12,33) == 6
    """
    return abs(a % 10) * abs(b % 10)

# Rust f4 translation
fn f4(a: i32, b: i32) -> i32 {
    return (a % 10).abs() * (b % 10).abs();
}

def f5(xs: List[int]) -> List[int]:
    """
    xs represent coefficients of a polynomial.
    f5: List[int] -> List[int]
    assert f5([3, 1, 2, 4, 5]) == [1, 4, 12, 20]
    assert f5([1, 2, 3]) == [2, 6]
    assert f5([3, 2, 1]) == [2, 2]
    assert f5([3, 2, 1, 0, 4]) == [2, 2, 0, 16]
    assert f5([1]) == []
    """
    return [(i * x) for i, x in enumerate(xs)][1:]

# Rust f5 translation
fn f5(xs: Vec<i32>) -> Vec<i32> {
    return xs.iter().enumerate().map(|(i, x)| i as i32 * x).skip(1).collect();
}

from typing import List

def f6(numbers: List[float]) -> float:
    """ For a given list of input numbers, calculate Mean Absolute Deviation
    around the mean of this dataset.
    Mean Absolute Deviation is the average absolute difference between each
    element and a centerpoint (mean in this case):
    MAD = average | x - x_mean | 	assert abs(f6([1.0, 2.0, 3.0]) - 2.0/3.0) < 1e-6,"Test 0"
	assert abs(f6([1.0, 2.0, 3.0, 4.0]) - 1.0) < 1e-6,"Test 1"
	assert abs(f6([1.0, 2.0, 3.0, 4.0, 5.0]) - 6.0/5.0) < 1e-6,"Test 2"
	"""
    mean = sum(numbers) / len(numbers)
    return sum(abs(x - mean) for x in numbers) / len(numbers)

# Rust f6 translation


Prompt:
from typing import List, Dict, Tuple, Union, Optional

def f1(numbers: List[float], threshold: float) -> bool:
    """
    f1: List[float] -> float -> bool
    assert f1([1.0, 2.0, 3.9, 4.0, 5.0, 2.2], 0.3) == True
    assert f1([1.0, 2.0, 3.9, 4.0, 5.0, 2.2], 0.05) == False
    assert f1([1.0, 2.0, 5.9, 4.0, 5.0], 0.95) == True
    """
    for idx, elem in enumerate(numbers):
        for idx2, elem2 in enumerate(numbers):
            if idx != idx2:
                distance = abs(elem - elem2)
                if distance < threshold:
                    return True

    return False

#  Rust f1 translation
fn has_close_elements(numbers: Vec<f64>, threshold: f64) -> bool {
    for idx in 0..numbers.len() {
        for idx2 in 0..numbers.len() {
            if idx != idx2 {
                let distance = (numbers[idx] - numbers[idx2]).abs();
                if distance < threshold {
                    return true;
                }
            }
        }
    }

    return false;
}
def f2(paren_string: str) -> List[str]:
    """
    f2: str -> List[str]
    assert f2('(()()) ((())) () ((())()())') == [
        '(()())', '((()))', '()', '((())()())'
    ]
    assert f2('() (()) ((())) (((())))') == [
        '()', '(())', '((()))', '(((())))'
    ]
    assert f2('(()(())((())))') == [
        '(()(())((())))'
    ]
    assert f2('( ) (( )) (( )( ))') == ['()', '(())', '(()())']
    """
    result = []
    current_string = []
    current_depth = 0

    for c in paren_string:
        if c == '(':
            current_depth += 1
            current_string.append(c)
        elif c == ')':
            current_depth -= 1
            current_string.append(c)

            if current_depth == 0:
                result.append(''.join(current_string))
                current_string.clear()

    return result

# Rust f2 translation
fn f2(paren_string: &str) -> Vec<String> {
    let mut result = Vec::new();
    let mut current_string = String::new();
    let mut current_depth = 0;

    for c in paren_string.chars() {
        if c == '(' {
            current_depth += 1;
            current_string.push(c);
        } else if c == ')' {
            current_depth -= 1;
            current_string.push(c);

            if current_depth == 0 {
                result.push(current_string);
                current_string = String::new();
            }
        }
    }

    return result;
}

def f3(number: float) -> float:
    """
    f3: float -> float
    assert f3(3.5) == 0.5
    assert abs(f3(1.33) - 0.33) < 1e-6
    assert abs(f3(123.456) - 0.456) < 1e-6
    """
    return number % 1.0

# Rust f3 translation
fn f3(number: f64) -> f64 {
    return number % 1.0;
}

def f4(a, b):
    """
    Complete the function that takes two integers and returns the product of their unit digits.
    f4: int -> int -> int
    assert f4(148, 412) == 16,
    assert f4(19, 28) == 72,
    assert f4(2020, 1851) == 0
    assert f4(3,3) == 9
    assert f4(12,33) == 6
    """
    return abs(a % 10) * abs(b % 10)

# Rust f4 translation
fn f4(a: i32, b: i32) -> i32 {
    return (a % 10).abs() * (b % 10).abs();
}

def f5(xs: List[int]) -> List[int]:
    """
    xs represent coefficients of a polynomial.
    f5: List[int] -> List[int]
    assert f5([3, 1, 2, 4, 5]) == [1, 4, 12, 20]
    assert f5([1, 2, 3]) == [2, 6]
    assert f5([3, 2, 1]) == [2, 2]
    assert f5([3, 2, 1, 0, 4]) == [2, 2, 0, 16]
    assert f5([1]) == []
    """
    return [(i * x) for i, x in enumerate(xs)][1:]

# Rust f5 translation
fn f5(xs: Vec<i32>) -> Vec<i32> {
    return xs.iter().enumerate().map(|(i, x)| i as i32 * x).skip(1).collect();
}

from typing import List

def f6(numbers: List[int], delimeter: int) -> List[int]:
    """ Insert a number 'delimeter' between every two consecutive elements of input list `numbers' 	assert f6([], 7) == [],"Test 0"
	assert f6([5, 6, 3, 2], 8) == [5, 8, 6, 8, 3, 8, 2],"Test 1"
	assert f6([2, 2, 2], 2) == [2, 2, 2, 2, 2],"Test 2"
	"""
    if not numbers:
        return []

    result = []

    for n in numbers[:-1]:
        result.append(n)
        result.append(delimeter)

    result.append(numbers[-1])

    return result

# Rust f6 translation


Prompt:
from typing import List, Dict, Tuple, Union, Optional

def f1(numbers: List[float], threshold: float) -> bool:
    """
    f1: List[float] -> float -> bool
    assert f1([1.0, 2.0, 3.9, 4.0, 5.0, 2.2], 0.3) == True
    assert f1([1.0, 2.0, 3.9, 4.0, 5.0, 2.2], 0.05) == False
    assert f1([1.0, 2.0, 5.9, 4.0, 5.0], 0.95) == True
    """
    for idx, elem in enumerate(numbers):
        for idx2, elem2 in enumerate(numbers):
            if idx != idx2:
                distance = abs(elem - elem2)
                if distance < threshold:
                    return True

    return False

#  Rust f1 translation
fn has_close_elements(numbers: Vec<f64>, threshold: f64) -> bool {
    for idx in 0..numbers.len() {
        for idx2 in 0..numbers.len() {
            if idx != idx2 {
                let distance = (numbers[idx] - numbers[idx2]).abs();
                if distance < threshold {
                    return true;
                }
            }
        }
    }

    return false;
}
def f2(paren_string: str) -> List[str]:
    """
    f2: str -> List[str]
    assert f2('(()()) ((())) () ((())()())') == [
        '(()())', '((()))', '()', '((())()())'
    ]
    assert f2('() (()) ((())) (((())))') == [
        '()', '(())', '((()))', '(((())))'
    ]
    assert f2('(()(())((())))') == [
        '(()(())((())))'
    ]
    assert f2('( ) (( )) (( )( ))') == ['()', '(())', '(()())']
    """
    result = []
    current_string = []
    current_depth = 0

    for c in paren_string:
        if c == '(':
            current_depth += 1
            current_string.append(c)
        elif c == ')':
            current_depth -= 1
            current_string.append(c)

            if current_depth == 0:
                result.append(''.join(current_string))
                current_string.clear()

    return result

# Rust f2 translation
fn f2(paren_string: &str) -> Vec<String> {
    let mut result = Vec::new();
    let mut current_string = String::new();
    let mut current_depth = 0;

    for c in paren_string.chars() {
        if c == '(' {
            current_depth += 1;
            current_string.push(c);
        } else if c == ')' {
            current_depth -= 1;
            current_string.push(c);

            if current_depth == 0 {
                result.push(current_string);
                current_string = String::new();
            }
        }
    }

    return result;
}

def f3(number: float) -> float:
    """
    f3: float -> float
    assert f3(3.5) == 0.5
    assert abs(f3(1.33) - 0.33) < 1e-6
    assert abs(f3(123.456) - 0.456) < 1e-6
    """
    return number % 1.0

# Rust f3 translation
fn f3(number: f64) -> f64 {
    return number % 1.0;
}

def f4(a, b):
    """
    Complete the function that takes two integers and returns the product of their unit digits.
    f4: int -> int -> int
    assert f4(148, 412) == 16,
    assert f4(19, 28) == 72,
    assert f4(2020, 1851) == 0
    assert f4(3,3) == 9
    assert f4(12,33) == 6
    """
    return abs(a % 10) * abs(b % 10)

# Rust f4 translation
fn f4(a: i32, b: i32) -> i32 {
    return (a % 10).abs() * (b % 10).abs();
}

def f5(xs: List[int]) -> List[int]:
    """
    xs represent coefficients of a polynomial.
    f5: List[int] -> List[int]
    assert f5([3, 1, 2, 4, 5]) == [1, 4, 12, 20]
    assert f5([1, 2, 3]) == [2, 6]
    assert f5([3, 2, 1]) == [2, 2]
    assert f5([3, 2, 1, 0, 4]) == [2, 2, 0, 16]
    assert f5([1]) == []
    """
    return [(i * x) for i, x in enumerate(xs)][1:]

# Rust f5 translation
fn f5(xs: Vec<i32>) -> Vec<i32> {
    return xs.iter().enumerate().map(|(i, x)| i as i32 * x).skip(1).collect();
}

from typing import List

def f6(paren_string: str) -> List[int]:
    """ Input to this function is a string represented multiple groups for nested parentheses separated by spaces.
    For each of the group, output the deepest level of nesting of parentheses.
    E.g. (()()) has maximum two levels of nesting while ((())) has three. 	assert f6('(()()) ((())) () ((())()())') == [2, 3, 1, 3],"Test 0"
	assert f6('() (()) ((())) (((())))') == [1, 2, 3, 4],"Test 1"
	assert f6('(()(())((())))') == [4],"Test 2"
	"""
    def parse_paren_group(s):
        depth = 0
        max_depth = 0
        for c in s:
            if c == '(':
                depth += 1
                max_depth = max(depth, max_depth)
            else:
                depth -= 1

        return max_depth

    return [parse_paren_group(x) for x in paren_string.split(' ') if x]

# Rust f6 translation


Prompt:
from typing import List, Dict, Tuple, Union, Optional

def f1(numbers: List[float], threshold: float) -> bool:
    """
    f1: List[float] -> float -> bool
    assert f1([1.0, 2.0, 3.9, 4.0, 5.0, 2.2], 0.3) == True
    assert f1([1.0, 2.0, 3.9, 4.0, 5.0, 2.2], 0.05) == False
    assert f1([1.0, 2.0, 5.9, 4.0, 5.0], 0.95) == True
    """
    for idx, elem in enumerate(numbers):
        for idx2, elem2 in enumerate(numbers):
            if idx != idx2:
                distance = abs(elem - elem2)
                if distance < threshold:
                    return True

    return False

#  Rust f1 translation
fn has_close_elements(numbers: Vec<f64>, threshold: f64) -> bool {
    for idx in 0..numbers.len() {
        for idx2 in 0..numbers.len() {
            if idx != idx2 {
                let distance = (numbers[idx] - numbers[idx2]).abs();
                if distance < threshold {
                    return true;
                }
            }
        }
    }

    return false;
}
def f2(paren_string: str) -> List[str]:
    """
    f2: str -> List[str]
    assert f2('(()()) ((())) () ((())()())') == [
        '(()())', '((()))', '()', '((())()())'
    ]
    assert f2('() (()) ((())) (((())))') == [
        '()', '(())', '((()))', '(((())))'
    ]
    assert f2('(()(())((())))') == [
        '(()(())((())))'
    ]
    assert f2('( ) (( )) (( )( ))') == ['()', '(())', '(()())']
    """
    result = []
    current_string = []
    current_depth = 0

    for c in paren_string:
        if c == '(':
            current_depth += 1
            current_string.append(c)
        elif c == ')':
            current_depth -= 1
            current_string.append(c)

            if current_depth == 0:
                result.append(''.join(current_string))
                current_string.clear()

    return result

# Rust f2 translation
fn f2(paren_string: &str) -> Vec<String> {
    let mut result = Vec::new();
    let mut current_string = String::new();
    let mut current_depth = 0;

    for c in paren_string.chars() {
        if c == '(' {
            current_depth += 1;
            current_string.push(c);
        } else if c == ')' {
            current_depth -= 1;
            current_string.push(c);

            if current_depth == 0 {
                result.push(current_string);
                current_string = String::new();
            }
        }
    }

    return result;
}

def f3(number: float) -> float:
    """
    f3: float -> float
    assert f3(3.5) == 0.5
    assert abs(f3(1.33) - 0.33) < 1e-6
    assert abs(f3(123.456) - 0.456) < 1e-6
    """
    return number % 1.0

# Rust f3 translation
fn f3(number: f64) -> f64 {
    return number % 1.0;
}

def f4(a, b):
    """
    Complete the function that takes two integers and returns the product of their unit digits.
    f4: int -> int -> int
    assert f4(148, 412) == 16,
    assert f4(19, 28) == 72,
    assert f4(2020, 1851) == 0
    assert f4(3,3) == 9
    assert f4(12,33) == 6
    """
    return abs(a % 10) * abs(b % 10)

# Rust f4 translation
fn f4(a: i32, b: i32) -> i32 {
    return (a % 10).abs() * (b % 10).abs();
}

def f5(xs: List[int]) -> List[int]:
    """
    xs represent coefficients of a polynomial.
    f5: List[int] -> List[int]
    assert f5([3, 1, 2, 4, 5]) == [1, 4, 12, 20]
    assert f5([1, 2, 3]) == [2, 6]
    assert f5([3, 2, 1]) == [2, 2]
    assert f5([3, 2, 1, 0, 4]) == [2, 2, 0, 16]
    assert f5([1]) == []
    """
    return [(i * x) for i, x in enumerate(xs)][1:]

# Rust f5 translation
fn f5(xs: Vec<i32>) -> Vec<i32> {
    return xs.iter().enumerate().map(|(i, x)| i as i32 * x).skip(1).collect();
}

from typing import List

def f6(strings: List[str], substring: str) -> List[str]:
    """ Filter an input list of strings only for ones that contain given substring 	assert f6([], 'john') == [],"Test 0"
	assert f6(['xxx', 'asd', 'xxy', 'john doe', 'xxxAAA', 'xxx'], 'xxx') == ['xxx', 'xxxAAA', 'xxx'],"Test 1"
	assert f6(['xxx', 'asd', 'aaaxxy', 'john doe', 'xxxAAA', 'xxx'], 'xx') == ['xxx', 'aaaxxy', 'xxxAAA', 'xxx'],"Test 2"
	assert f6(['grunt', 'trumpet', 'prune', 'gruesome'], 'run') == ['grunt', 'prune'],"Test 3"
	"""
    return [x for x in strings if substring in x]

# Rust f6 translation

def check(candidate):
    assert candidate([], 'john') == [],"Test 0"
    assert candidate(['xxx', 'asd', 'xxy', 'john doe', 'xxxAAA', 'xxx'], 'xxx') == ['xxx', 'xxxAAA', 'xxx'],"Test 1"
    assert candidate(['xxx', 'asd', 'aaaxxy', 'john doe', 'xxxAAA', 'xxx'], 'xx') == ['xxx', 'aaaxxy', 'xxxAAA', 'xxx'],"Test 2"
    assert candidate(['grunt', 'trumpet', 'prune', 'gruesome'], 'run') == ['grunt', 'prune'],"Test 3"


Prompt:
from typing import List, Dict, Tuple, Union, Optional

def f1(numbers: List[float], threshold: float) -> bool:
    """
    f1: List[float] -> float -> bool
    assert f1([1.0, 2.0, 3.9, 4.0, 5.0, 2.2], 0.3) == True
    assert f1([1.0, 2.0, 3.9, 4.0, 5.0, 2.2], 0.05) == False
    assert f1([1.0, 2.0, 5.9, 4.0, 5.0], 0.95) == True
    """
    for idx, elem in enumerate(numbers):
        for idx2, elem2 in enumerate(numbers):
            if idx != idx2:
                distance = abs(elem - elem2)
                if distance < threshold:
                    return True

    return False

#  Rust f1 translation
fn has_close_elements(numbers: Vec<f64>, threshold: f64) -> bool {
    for idx in 0..numbers.len() {
        for idx2 in 0..numbers.len() {
            if idx != idx2 {
                let distance = (numbers[idx] - numbers[idx2]).abs();
                if distance < threshold {
                    return true;
                }
            }
        }
    }

    return false;
}
def f2(paren_string: str) -> List[str]:
    """
    f2: str -> List[str]
    assert f2('(()()) ((())) () ((())()())') == [
        '(()())', '((()))', '()', '((())()())'
    ]
    assert f2('() (()) ((())) (((())))') == [
        '()', '(())', '((()))', '(((())))'
    ]
    assert f2('(()(())((())))') == [
        '(()(())((())))'
    ]
    assert f2('( ) (( )) (( )( ))') == ['()', '(())', '(()())']
    """
    result = []
    current_string = []
    current_depth = 0

    for c in paren_string:
        if c == '(':
            current_depth += 1
            current_string.append(c)
        elif c == ')':
            current_depth -= 1
            current_string.append(c)

            if current_depth == 0:
                result.append(''.join(current_string))
                current_string.clear()

    return result

# Rust f2 translation
fn f2(paren_string: &str) -> Vec<String> {
    let mut result = Vec::new();
    let mut current_string = String::new();
    let mut current_depth = 0;

    for c in paren_string.chars() {
        if c == '(' {
            current_depth += 1;
            current_string.push(c);
        } else if c == ')' {
            current_depth -= 1;
            current_string.push(c);

            if current_depth == 0 {
                result.push(current_string);
                current_string = String::new();
            }
        }
    }

    return result;
}

def f3(number: float) -> float:
    """
    f3: float -> float
    assert f3(3.5) == 0.5
    assert abs(f3(1.33) - 0.33) < 1e-6
    assert abs(f3(123.456) - 0.456) < 1e-6
    """
    return number % 1.0

# Rust f3 translation
fn f3(number: f64) -> f64 {
    return number % 1.0;
}

def f4(a, b):
    """
    Complete the function that takes two integers and returns the product of their unit digits.
    f4: int -> int -> int
    assert f4(148, 412) == 16,
    assert f4(19, 28) == 72,
    assert f4(2020, 1851) == 0
    assert f4(3,3) == 9
    assert f4(12,33) == 6
    """
    return abs(a % 10) * abs(b % 10)

# Rust f4 translation
fn f4(a: i32, b: i32) -> i32 {
    return (a % 10).abs() * (b % 10).abs();
}

def f5(xs: List[int]) -> List[int]:
    """
    xs represent coefficients of a polynomial.
    f5: List[int] -> List[int]
    assert f5([3, 1, 2, 4, 5]) == [1, 4, 12, 20]
    assert f5([1, 2, 3]) == [2, 6]
    assert f5([3, 2, 1]) == [2, 2]
    assert f5([3, 2, 1, 0, 4]) == [2, 2, 0, 16]
    assert f5([1]) == []
    """
    return [(i * x) for i, x in enumerate(xs)][1:]

# Rust f5 translation
fn f5(xs: Vec<i32>) -> Vec<i32> {
    return xs.iter().enumerate().map(|(i, x)| i as i32 * x).skip(1).collect();
}

from typing import List, Tuple

def f6(numbers: List[int]) -> Tuple[int, int]:
    """ For a given list of integers, return a tuple consisting of a sum and a product of all the integers in a list.
    Empty sum should be equal to 0 and empty product should be equal to 1. 	assert f6([]) == (0, 1),"Test 0"
	assert f6([1, 1, 1]) == (3, 1),"Test 1"
	assert f6([100, 0]) == (100, 0),"Test 2"
	assert f6([3, 5, 7]) == (3 + 5 + 7, 3 * 5 * 7),"Test 3"
	assert f6([10]) == (10, 10),"Test 4"
	"""
    sum_value = 0
    prod_value = 1

    for n in numbers:
        sum_value += n
        prod_value *= n
    return sum_value, prod_value

# Rust f6 translation

def check(candidate):
    assert candidate([]) == (0, 1),"Test 0"
    assert candidate([1, 1, 1]) == (3, 1),"Test 1"
    assert candidate([100, 0]) == (100, 0),"Test 2"
    assert candidate([3, 5, 7]) == (3 + 5 + 7, 3 * 5 * 7),"Test 3"
    assert candidate([10]) == (10, 10),"Test 4"


Prompt:
from typing import List, Dict, Tuple, Union, Optional

def f1(numbers: List[float], threshold: float) -> bool:
    """
    f1: List[float] -> float -> bool
    assert f1([1.0, 2.0, 3.9, 4.0, 5.0, 2.2], 0.3) == True
    assert f1([1.0, 2.0, 3.9, 4.0, 5.0, 2.2], 0.05) == False
    assert f1([1.0, 2.0, 5.9, 4.0, 5.0], 0.95) == True
    """
    for idx, elem in enumerate(numbers):
        for idx2, elem2 in enumerate(numbers):
            if idx != idx2:
                distance = abs(elem - elem2)
                if distance < threshold:
                    return True

    return False

#  Rust f1 translation
fn has_close_elements(numbers: Vec<f64>, threshold: f64) -> bool {
    for idx in 0..numbers.len() {
        for idx2 in 0..numbers.len() {
            if idx != idx2 {
                let distance = (numbers[idx] - numbers[idx2]).abs();
                if distance < threshold {
                    return true;
                }
            }
        }
    }

    return false;
}
def f2(paren_string: str) -> List[str]:
    """
    f2: str -> List[str]
    assert f2('(()()) ((())) () ((())()())') == [
        '(()())', '((()))', '()', '((())()())'
    ]
    assert f2('() (()) ((())) (((())))') == [
        '()', '(())', '((()))', '(((())))'
    ]
    assert f2('(()(())((())))') == [
        '(()(())((())))'
    ]
    assert f2('( ) (( )) (( )( ))') == ['()', '(())', '(()())']
    """
    result = []
    current_string = []
    current_depth = 0

    for c in paren_string:
        if c == '(':
            current_depth += 1
            current_string.append(c)
        elif c == ')':
            current_depth -= 1
            current_string.append(c)

            if current_depth == 0:
                result.append(''.join(current_string))
                current_string.clear()

    return result

# Rust f2 translation
fn f2(paren_string: &str) -> Vec<String> {
    let mut result = Vec::new();
    let mut current_string = String::new();
    let mut current_depth = 0;

    for c in paren_string.chars() {
        if c == '(' {
            current_depth += 1;
            current_string.push(c);
        } else if c == ')' {
            current_depth -= 1;
            current_string.push(c);

            if current_depth == 0 {
                result.push(current_string);
                current_string = String::new();
            }
        }
    }

    return result;
}

def f3(number: float) -> float:
    """
    f3: float -> float
    assert f3(3.5) == 0.5
    assert abs(f3(1.33) - 0.33) < 1e-6
    assert abs(f3(123.456) - 0.456) < 1e-6
    """
    return number % 1.0

# Rust f3 translation
fn f3(number: f64) -> f64 {
    return number % 1.0;
}

def f4(a, b):
    """
    Complete the function that takes two integers and returns the product of their unit digits.
    f4: int -> int -> int
    assert f4(148, 412) == 16,
    assert f4(19, 28) == 72,
    assert f4(2020, 1851) == 0
    assert f4(3,3) == 9
    assert f4(12,33) == 6
    """
    return abs(a % 10) * abs(b % 10)

# Rust f4 translation
fn f4(a: i32, b: i32) -> i32 {
    return (a % 10).abs() * (b % 10).abs();
}

def f5(xs: List[int]) -> List[int]:
    """
    xs represent coefficients of a polynomial.
    f5: List[int] -> List[int]
    assert f5([3, 1, 2, 4, 5]) == [1, 4, 12, 20]
    assert f5([1, 2, 3]) == [2, 6]
    assert f5([3, 2, 1]) == [2, 2]
    assert f5([3, 2, 1, 0, 4]) == [2, 2, 0, 16]
    assert f5([1]) == []
    """
    return [(i * x) for i, x in enumerate(xs)][1:]

# Rust f5 translation
fn f5(xs: Vec<i32>) -> Vec<i32> {
    return xs.iter().enumerate().map(|(i, x)| i as i32 * x).skip(1).collect();
}

from typing import List, Tuple

def f6(numbers: List[int]) -> List[int]:
    """ From a given list of integers, generate a list of rolling maximum element found until given moment
    in the sequence. 	assert f6([]) == [],"Test 0"
	assert f6([1, 2, 3, 4]) == [1, 2, 3, 4],"Test 1"
	assert f6([4, 3, 2, 1]) == [4, 4, 4, 4],"Test 2"
	assert f6([3, 2, 3, 100, 3]) == [3, 3, 3, 100, 100],"Test 3"
	"""
    running_max = None
    result = []

    for n in numbers:
        if running_max is None:
            running_max = n
        else:
            running_max = max(running_max, n)

        result.append(running_max)

    return result

# Rust f6 translation


Prompt:
from typing import List, Dict, Tuple, Union, Optional

def f1(numbers: List[float], threshold: float) -> bool:
    """
    f1: List[float] -> float -> bool
    assert f1([1.0, 2.0, 3.9, 4.0, 5.0, 2.2], 0.3) == True
    assert f1([1.0, 2.0, 3.9, 4.0, 5.0, 2.2], 0.05) == False
    assert f1([1.0, 2.0, 5.9, 4.0, 5.0], 0.95) == True
    """
    for idx, elem in enumerate(numbers):
        for idx2, elem2 in enumerate(numbers):
            if idx != idx2:
                distance = abs(elem - elem2)
                if distance < threshold:
                    return True

    return False

#  Rust f1 translation
fn has_close_elements(numbers: Vec<f64>, threshold: f64) -> bool {
    for idx in 0..numbers.len() {
        for idx2 in 0..numbers.len() {
            if idx != idx2 {
                let distance = (numbers[idx] - numbers[idx2]).abs();
                if distance < threshold {
                    return true;
                }
            }
        }
    }

    return false;
}
def f2(paren_string: str) -> List[str]:
    """
    f2: str -> List[str]
    assert f2('(()()) ((())) () ((())()())') == [
        '(()())', '((()))', '()', '((())()())'
    ]
    assert f2('() (()) ((())) (((())))') == [
        '()', '(())', '((()))', '(((())))'
    ]
    assert f2('(()(())((())))') == [
        '(()(())((())))'
    ]
    assert f2('( ) (( )) (( )( ))') == ['()', '(())', '(()())']
    """
    result = []
    current_string = []
    current_depth = 0

    for c in paren_string:
        if c == '(':
            current_depth += 1
            current_string.append(c)
        elif c == ')':
            current_depth -= 1
            current_string.append(c)

            if current_depth == 0:
                result.append(''.join(current_string))
                current_string.clear()

    return result

# Rust f2 translation
fn f2(paren_string: &str) -> Vec<String> {
    let mut result = Vec::new();
    let mut current_string = String::new();
    let mut current_depth = 0;

    for c in paren_string.chars() {
        if c == '(' {
            current_depth += 1;
            current_string.push(c);
        } else if c == ')' {
            current_depth -= 1;
            current_string.push(c);

            if current_depth == 0 {
                result.push(current_string);
                current_string = String::new();
            }
        }
    }

    return result;
}

def f3(number: float) -> float:
    """
    f3: float -> float
    assert f3(3.5) == 0.5
    assert abs(f3(1.33) - 0.33) < 1e-6
    assert abs(f3(123.456) - 0.456) < 1e-6
    """
    return number % 1.0

# Rust f3 translation
fn f3(number: f64) -> f64 {
    return number % 1.0;
}

def f4(a, b):
    """
    Complete the function that takes two integers and returns the product of their unit digits.
    f4: int -> int -> int
    assert f4(148, 412) == 16,
    assert f4(19, 28) == 72,
    assert f4(2020, 1851) == 0
    assert f4(3,3) == 9
    assert f4(12,33) == 6
    """
    return abs(a % 10) * abs(b % 10)

# Rust f4 translation
fn f4(a: i32, b: i32) -> i32 {
    return (a % 10).abs() * (b % 10).abs();
}

def f5(xs: List[int]) -> List[int]:
    """
    xs represent coefficients of a polynomial.
    f5: List[int] -> List[int]
    assert f5([3, 1, 2, 4, 5]) == [1, 4, 12, 20]
    assert f5([1, 2, 3]) == [2, 6]
    assert f5([3, 2, 1]) == [2, 2]
    assert f5([3, 2, 1, 0, 4]) == [2, 2, 0, 16]
    assert f5([1]) == []
    """
    return [(i * x) for i, x in enumerate(xs)][1:]

# Rust f5 translation
fn f5(xs: Vec<i32>) -> Vec<i32> {
    return xs.iter().enumerate().map(|(i, x)| i as i32 * x).skip(1).collect();
}

def is_palindrome(string: str) -> bool:
    """ Test if given string is a palindrome """
    return string == string[::-1]

def f6(string: str) -> str:
    """ Find the shortest palindrome that begins with a supplied string.
    Algorithm idea is simple:
    - Find the longest postfix of supplied string that is a palindrome.
    - Append to the end of the string reverse of a string prefix that comes before the palindromic suffix. 	assert f6('') == '',"Test 0"
	assert f6('x') == 'x',"Test 1"
	assert f6('xyz') == 'xyzyx',"Test 2"
	assert f6('xyx') == 'xyx',"Test 3"
	assert f6('jerry') == 'jerryrrej',"Test 4"
	"""
    if not string:
        return ''

    beginning_of_suffix = 0

    while not is_palindrome(string[beginning_of_suffix:]):
        beginning_of_suffix += 1

    return string + string[:beginning_of_suffix][::-1]

# Rust f6 translation

def check(candidate):
    assert candidate('') == '',"Test 0"
    assert candidate('x') == 'x',"Test 1"
    assert candidate('xyz') == 'xyzyx',"Test 2"
    assert candidate('xyx') == 'xyx',"Test 3"
    assert candidate('jerry') == 'jerryrrej',"Test 4"


Prompt:
from typing import List, Dict, Tuple, Union, Optional

def f1(numbers: List[float], threshold: float) -> bool:
    """
    f1: List[float] -> float -> bool
    assert f1([1.0, 2.0, 3.9, 4.0, 5.0, 2.2], 0.3) == True
    assert f1([1.0, 2.0, 3.9, 4.0, 5.0, 2.2], 0.05) == False
    assert f1([1.0, 2.0, 5.9, 4.0, 5.0], 0.95) == True
    """
    for idx, elem in enumerate(numbers):
        for idx2, elem2 in enumerate(numbers):
            if idx != idx2:
                distance = abs(elem - elem2)
                if distance < threshold:
                    return True

    return False

#  Rust f1 translation
fn has_close_elements(numbers: Vec<f64>, threshold: f64) -> bool {
    for idx in 0..numbers.len() {
        for idx2 in 0..numbers.len() {
            if idx != idx2 {
                let distance = (numbers[idx] - numbers[idx2]).abs();
                if distance < threshold {
                    return true;
                }
            }
        }
    }

    return false;
}
def f2(paren_string: str) -> List[str]:
    """
    f2: str -> List[str]
    assert f2('(()()) ((())) () ((())()())') == [
        '(()())', '((()))', '()', '((())()())'
    ]
    assert f2('() (()) ((())) (((())))') == [
        '()', '(())', '((()))', '(((())))'
    ]
    assert f2('(()(())((())))') == [
        '(()(())((())))'
    ]
    assert f2('( ) (( )) (( )( ))') == ['()', '(())', '(()())']
    """
    result = []
    current_string = []
    current_depth = 0

    for c in paren_string:
        if c == '(':
            current_depth += 1
            current_string.append(c)
        elif c == ')':
            current_depth -= 1
            current_string.append(c)

            if current_depth == 0:
                result.append(''.join(current_string))
                current_string.clear()

    return result

# Rust f2 translation
fn f2(paren_string: &str) -> Vec<String> {
    let mut result = Vec::new();
    let mut current_string = String::new();
    let mut current_depth = 0;

    for c in paren_string.chars() {
        if c == '(' {
            current_depth += 1;
            current_string.push(c);
        } else if c == ')' {
            current_depth -= 1;
            current_string.push(c);

            if current_depth == 0 {
                result.push(current_string);
                current_string = String::new();
            }
        }
    }

    return result;
}

def f3(number: float) -> float:
    """
    f3: float -> float
    assert f3(3.5) == 0.5
    assert abs(f3(1.33) - 0.33) < 1e-6
    assert abs(f3(123.456) - 0.456) < 1e-6
    """
    return number % 1.0

# Rust f3 translation
fn f3(number: f64) -> f64 {
    return number % 1.0;
}

def f4(a, b):
    """
    Complete the function that takes two integers and returns the product of their unit digits.
    f4: int -> int -> int
    assert f4(148, 412) == 16,
    assert f4(19, 28) == 72,
    assert f4(2020, 1851) == 0
    assert f4(3,3) == 9
    assert f4(12,33) == 6
    """
    return abs(a % 10) * abs(b % 10)

# Rust f4 translation
fn f4(a: i32, b: i32) -> i32 {
    return (a % 10).abs() * (b % 10).abs();
}

def f5(xs: List[int]) -> List[int]:
    """
    xs represent coefficients of a polynomial.
    f5: List[int] -> List[int]
    assert f5([3, 1, 2, 4, 5]) == [1, 4, 12, 20]
    assert f5([1, 2, 3]) == [2, 6]
    assert f5([3, 2, 1]) == [2, 2]
    assert f5([3, 2, 1, 0, 4]) == [2, 2, 0, 16]
    assert f5([1]) == []
    """
    return [(i * x) for i, x in enumerate(xs)][1:]

# Rust f5 translation
fn f5(xs: Vec<i32>) -> Vec<i32> {
    return xs.iter().enumerate().map(|(i, x)| i as i32 * x).skip(1).collect();
}

from typing import List

def f6(a: str, b: str) -> str:
    """ Input are two strings a and b consisting only of 1s and 0s.
    Perform binary XOR on these inputs and return result also as a string. 	assert f6('111000', '101010') == '010010',"Test 0"
	assert f6('1', '1') == '0',"Test 1"
	assert f6('0101', '0000') == '0101',"Test 2"
	"""
    def xor(i, j):
        if i == j:
            return '0'
        else:
            return '1'

    return ''.join(xor(x, y) for x, y in zip(a, b))

# Rust f6 translation


Prompt:
from typing import List, Dict, Tuple, Union, Optional

def f1(numbers: List[float], threshold: float) -> bool:
    """
    f1: List[float] -> float -> bool
    assert f1([1.0, 2.0, 3.9, 4.0, 5.0, 2.2], 0.3) == True
    assert f1([1.0, 2.0, 3.9, 4.0, 5.0, 2.2], 0.05) == False
    assert f1([1.0, 2.0, 5.9, 4.0, 5.0], 0.95) == True
    """
    for idx, elem in enumerate(numbers):
        for idx2, elem2 in enumerate(numbers):
            if idx != idx2:
                distance = abs(elem - elem2)
                if distance < threshold:
                    return True

    return False

#  Rust f1 translation
fn has_close_elements(numbers: Vec<f64>, threshold: f64) -> bool {
    for idx in 0..numbers.len() {
        for idx2 in 0..numbers.len() {
            if idx != idx2 {
                let distance = (numbers[idx] - numbers[idx2]).abs();
                if distance < threshold {
                    return true;
                }
            }
        }
    }

    return false;
}
def f2(paren_string: str) -> List[str]:
    """
    f2: str -> List[str]
    assert f2('(()()) ((())) () ((())()())') == [
        '(()())', '((()))', '()', '((())()())'
    ]
    assert f2('() (()) ((())) (((())))') == [
        '()', '(())', '((()))', '(((())))'
    ]
    assert f2('(()(())((())))') == [
        '(()(())((())))'
    ]
    assert f2('( ) (( )) (( )( ))') == ['()', '(())', '(()())']
    """
    result = []
    current_string = []
    current_depth = 0

    for c in paren_string:
        if c == '(':
            current_depth += 1
            current_string.append(c)
        elif c == ')':
            current_depth -= 1
            current_string.append(c)

            if current_depth == 0:
                result.append(''.join(current_string))
                current_string.clear()

    return result

# Rust f2 translation
fn f2(paren_string: &str) -> Vec<String> {
    let mut result = Vec::new();
    let mut current_string = String::new();
    let mut current_depth = 0;

    for c in paren_string.chars() {
        if c == '(' {
            current_depth += 1;
            current_string.push(c);
        } else if c == ')' {
            current_depth -= 1;
            current_string.push(c);

            if current_depth == 0 {
                result.push(current_string);
                current_string = String::new();
            }
        }
    }

    return result;
}

def f3(number: float) -> float:
    """
    f3: float -> float
    assert f3(3.5) == 0.5
    assert abs(f3(1.33) - 0.33) < 1e-6
    assert abs(f3(123.456) - 0.456) < 1e-6
    """
    return number % 1.0

# Rust f3 translation
fn f3(number: f64) -> f64 {
    return number % 1.0;
}

def f4(a, b):
    """
    Complete the function that takes two integers and returns the product of their unit digits.
    f4: int -> int -> int
    assert f4(148, 412) == 16,
    assert f4(19, 28) == 72,
    assert f4(2020, 1851) == 0
    assert f4(3,3) == 9
    assert f4(12,33) == 6
    """
    return abs(a % 10) * abs(b % 10)

# Rust f4 translation
fn f4(a: i32, b: i32) -> i32 {
    return (a % 10).abs() * (b % 10).abs();
}

def f5(xs: List[int]) -> List[int]:
    """
    xs represent coefficients of a polynomial.
    f5: List[int] -> List[int]
    assert f5([3, 1, 2, 4, 5]) == [1, 4, 12, 20]
    assert f5([1, 2, 3]) == [2, 6]
    assert f5([3, 2, 1]) == [2, 2]
    assert f5([3, 2, 1, 0, 4]) == [2, 2, 0, 16]
    assert f5([1]) == []
    """
    return [(i * x) for i, x in enumerate(xs)][1:]

# Rust f5 translation
fn f5(xs: Vec<i32>) -> Vec<i32> {
    return xs.iter().enumerate().map(|(i, x)| i as i32 * x).skip(1).collect();
}

from typing import List, Optional

def f6(strings: List[str]) -> Optional[str]:
    """ Out of list of strings, return the f6 one. Return the first one in case of multiple
    strings of the same length. Return None in case the input list is empty. 	assert f6([]) == None,"Test 0"
	assert f6(['x', 'y', 'z']) == 'x',"Test 1"
	assert f6(['x', 'yyy', 'zzzz', 'www', 'kkkk', 'abc']) == 'zzzz',"Test 2"
	"""
    if not strings:
        return None

    maxlen = max(len(x) for x in strings)
    for s in strings:
        if len(s) == maxlen:
            return s

# Rust f6 translation

def check(candidate):
    assert candidate([]) == None,"Test 0"
    assert candidate(['x', 'y', 'z']) == 'x',"Test 1"
    assert candidate(['x', 'yyy', 'zzzz', 'www', 'kkkk', 'abc']) == 'zzzz',"Test 2"


Prompt:
from typing import List, Dict, Tuple, Union, Optional

def f1(numbers: List[float], threshold: float) -> bool:
    """
    f1: List[float] -> float -> bool
    assert f1([1.0, 2.0, 3.9, 4.0, 5.0, 2.2], 0.3) == True
    assert f1([1.0, 2.0, 3.9, 4.0, 5.0, 2.2], 0.05) == False
    assert f1([1.0, 2.0, 5.9, 4.0, 5.0], 0.95) == True
    """
    for idx, elem in enumerate(numbers):
        for idx2, elem2 in enumerate(numbers):
            if idx != idx2:
                distance = abs(elem - elem2)
                if distance < threshold:
                    return True

    return False

#  Rust f1 translation
fn has_close_elements(numbers: Vec<f64>, threshold: f64) -> bool {
    for idx in 0..numbers.len() {
        for idx2 in 0..numbers.len() {
            if idx != idx2 {
                let distance = (numbers[idx] - numbers[idx2]).abs();
                if distance < threshold {
                    return true;
                }
            }
        }
    }

    return false;
}
def f2(paren_string: str) -> List[str]:
    """
    f2: str -> List[str]
    assert f2('(()()) ((())) () ((())()())') == [
        '(()())', '((()))', '()', '((())()())'
    ]
    assert f2('() (()) ((())) (((())))') == [
        '()', '(())', '((()))', '(((())))'
    ]
    assert f2('(()(())((())))') == [
        '(()(())((())))'
    ]
    assert f2('( ) (( )) (( )( ))') == ['()', '(())', '(()())']
    """
    result = []
    current_string = []
    current_depth = 0

    for c in paren_string:
        if c == '(':
            current_depth += 1
            current_string.append(c)
        elif c == ')':
            current_depth -= 1
            current_string.append(c)

            if current_depth == 0:
                result.append(''.join(current_string))
                current_string.clear()

    return result

# Rust f2 translation
fn f2(paren_string: &str) -> Vec<String> {
    let mut result = Vec::new();
    let mut current_string = String::new();
    let mut current_depth = 0;

    for c in paren_string.chars() {
        if c == '(' {
            current_depth += 1;
            current_string.push(c);
        } else if c == ')' {
            current_depth -= 1;
            current_string.push(c);

            if current_depth == 0 {
                result.push(current_string);
                current_string = String::new();
            }
        }
    }

    return result;
}

def f3(number: float) -> float:
    """
    f3: float -> float
    assert f3(3.5) == 0.5
    assert abs(f3(1.33) - 0.33) < 1e-6
    assert abs(f3(123.456) - 0.456) < 1e-6
    """
    return number % 1.0

# Rust f3 translation
fn f3(number: f64) -> f64 {
    return number % 1.0;
}

def f4(a, b):
    """
    Complete the function that takes two integers and returns the product of their unit digits.
    f4: int -> int -> int
    assert f4(148, 412) == 16,
    assert f4(19, 28) == 72,
    assert f4(2020, 1851) == 0
    assert f4(3,3) == 9
    assert f4(12,33) == 6
    """
    return abs(a % 10) * abs(b % 10)

# Rust f4 translation
fn f4(a: i32, b: i32) -> i32 {
    return (a % 10).abs() * (b % 10).abs();
}

def f5(xs: List[int]) -> List[int]:
    """
    xs represent coefficients of a polynomial.
    f5: List[int] -> List[int]
    assert f5([3, 1, 2, 4, 5]) == [1, 4, 12, 20]
    assert f5([1, 2, 3]) == [2, 6]
    assert f5([3, 2, 1]) == [2, 2]
    assert f5([3, 2, 1, 0, 4]) == [2, 2, 0, 16]
    assert f5([1]) == []
    """
    return [(i * x) for i, x in enumerate(xs)][1:]

# Rust f5 translation
fn f5(xs: Vec<i32>) -> Vec<i32> {
    return xs.iter().enumerate().map(|(i, x)| i as i32 * x).skip(1).collect();
}

def f6(a: int, b: int) -> int:
    """ Return a greatest common divisor of two integers a and b 	assert f6(3, 7) == 1,"Test 0"
	assert f6(10, 15) == 5,"Test 1"
	assert f6(49, 14) == 7,"Test 2"
	assert f6(144, 60) == 12,"Test 3"
	"""
    while b:
        a, b = b, a % b
    return a

# Rust f6 translation

    while b:
        a, b = b, a % b
    return a

def check(candidate):
    assert candidate(3, 7) == 1,"Test 0"
    assert candidate(10, 15) == 5,"Test 1"
    assert candidate(49, 14) == 7,"Test 2"
    assert candidate(144, 60) == 12,"Test 3"


Prompt:
from typing import List, Dict, Tuple, Union, Optional

def f1(numbers: List[float], threshold: float) -> bool:
    """
    f1: List[float] -> float -> bool
    assert f1([1.0, 2.0, 3.9, 4.0, 5.0, 2.2], 0.3) == True
    assert f1([1.0, 2.0, 3.9, 4.0, 5.0, 2.2], 0.05) == False
    assert f1([1.0, 2.0, 5.9, 4.0, 5.0], 0.95) == True
    """
    for idx, elem in enumerate(numbers):
        for idx2, elem2 in enumerate(numbers):
            if idx != idx2:
                distance = abs(elem - elem2)
                if distance < threshold:
                    return True

    return False

#  Rust f1 translation
fn has_close_elements(numbers: Vec<f64>, threshold: f64) -> bool {
    for idx in 0..numbers.len() {
        for idx2 in 0..numbers.len() {
            if idx != idx2 {
                let distance = (numbers[idx] - numbers[idx2]).abs();
                if distance < threshold {
                    return true;
                }
            }
        }
    }

    return false;
}
def f2(paren_string: str) -> List[str]:
    """
    f2: str -> List[str]
    assert f2('(()()) ((())) () ((())()())') == [
        '(()())', '((()))', '()', '((())()())'
    ]
    assert f2('() (()) ((())) (((())))') == [
        '()', '(())', '((()))', '(((())))'
    ]
    assert f2('(()(())((())))') == [
        '(()(())((())))'
    ]
    assert f2('( ) (( )) (( )( ))') == ['()', '(())', '(()())']
    """
    result = []
    current_string = []
    current_depth = 0

    for c in paren_string:
        if c == '(':
            current_depth += 1
            current_string.append(c)
        elif c == ')':
            current_depth -= 1
            current_string.append(c)

            if current_depth == 0:
                result.append(''.join(current_string))
                current_string.clear()

    return result

# Rust f2 translation
fn f2(paren_string: &str) -> Vec<String> {
    let mut result = Vec::new();
    let mut current_string = String::new();
    let mut current_depth = 0;

    for c in paren_string.chars() {
        if c == '(' {
            current_depth += 1;
            current_string.push(c);
        } else if c == ')' {
            current_depth -= 1;
            current_string.push(c);

            if current_depth == 0 {
                result.push(current_string);
                current_string = String::new();
            }
        }
    }

    return result;
}

def f3(number: float) -> float:
    """
    f3: float -> float
    assert f3(3.5) == 0.5
    assert abs(f3(1.33) - 0.33) < 1e-6
    assert abs(f3(123.456) - 0.456) < 1e-6
    """
    return number % 1.0

# Rust f3 translation
fn f3(number: f64) -> f64 {
    return number % 1.0;
}

def f4(a, b):
    """
    Complete the function that takes two integers and returns the product of their unit digits.
    f4: int -> int -> int
    assert f4(148, 412) == 16,
    assert f4(19, 28) == 72,
    assert f4(2020, 1851) == 0
    assert f4(3,3) == 9
    assert f4(12,33) == 6
    """
    return abs(a % 10) * abs(b % 10)

# Rust f4 translation
fn f4(a: i32, b: i32) -> i32 {
    return (a % 10).abs() * (b % 10).abs();
}

def f5(xs: List[int]) -> List[int]:
    """
    xs represent coefficients of a polynomial.
    f5: List[int] -> List[int]
    assert f5([3, 1, 2, 4, 5]) == [1, 4, 12, 20]
    assert f5([1, 2, 3]) == [2, 6]
    assert f5([3, 2, 1]) == [2, 2]
    assert f5([3, 2, 1, 0, 4]) == [2, 2, 0, 16]
    assert f5([1]) == []
    """
    return [(i * x) for i, x in enumerate(xs)][1:]

# Rust f5 translation
fn f5(xs: Vec<i32>) -> Vec<i32> {
    return xs.iter().enumerate().map(|(i, x)| i as i32 * x).skip(1).collect();
}

from typing import List

def f6(string: str) -> List[str]:
    """ Return list of all prefixes from shortest to longest of the input string 	assert f6('') == [],"Test 0"
	assert f6('asdfgh') == ['a', 'as', 'asd', 'asdf', 'asdfg', 'asdfgh'],"Test 1"
	assert f6('WWW') == ['W', 'WW', 'WWW'],"Test 2"
	"""
    result = []

    for i in range(len(string)):
        result.append(string[:i+1])
    return result

# Rust f6 translation

def check(candidate):
    assert candidate('') == [],"Test 0"
    assert candidate('asdfgh') == ['a', 'as', 'asd', 'asdf', 'asdfg', 'asdfgh'],"Test 1"
    assert candidate('WWW') == ['W', 'WW', 'WWW'],"Test 2"


Prompt:
from typing import List, Dict, Tuple, Union, Optional

def f1(numbers: List[float], threshold: float) -> bool:
    """
    f1: List[float] -> float -> bool
    assert f1([1.0, 2.0, 3.9, 4.0, 5.0, 2.2], 0.3) == True
    assert f1([1.0, 2.0, 3.9, 4.0, 5.0, 2.2], 0.05) == False
    assert f1([1.0, 2.0, 5.9, 4.0, 5.0], 0.95) == True
    """
    for idx, elem in enumerate(numbers):
        for idx2, elem2 in enumerate(numbers):
            if idx != idx2:
                distance = abs(elem - elem2)
                if distance < threshold:
                    return True

    return False

#  Rust f1 translation
fn has_close_elements(numbers: Vec<f64>, threshold: f64) -> bool {
    for idx in 0..numbers.len() {
        for idx2 in 0..numbers.len() {
            if idx != idx2 {
                let distance = (numbers[idx] - numbers[idx2]).abs();
                if distance < threshold {
                    return true;
                }
            }
        }
    }

    return false;
}
def f2(paren_string: str) -> List[str]:
    """
    f2: str -> List[str]
    assert f2('(()()) ((())) () ((())()())') == [
        '(()())', '((()))', '()', '((())()())'
    ]
    assert f2('() (()) ((())) (((())))') == [
        '()', '(())', '((()))', '(((())))'
    ]
    assert f2('(()(())((())))') == [
        '(()(())((())))'
    ]
    assert f2('( ) (( )) (( )( ))') == ['()', '(())', '(()())']
    """
    result = []
    current_string = []
    current_depth = 0

    for c in paren_string:
        if c == '(':
            current_depth += 1
            current_string.append(c)
        elif c == ')':
            current_depth -= 1
            current_string.append(c)

            if current_depth == 0:
                result.append(''.join(current_string))
                current_string.clear()

    return result

# Rust f2 translation
fn f2(paren_string: &str) -> Vec<String> {
    let mut result = Vec::new();
    let mut current_string = String::new();
    let mut current_depth = 0;

    for c in paren_string.chars() {
        if c == '(' {
            current_depth += 1;
            current_string.push(c);
        } else if c == ')' {
            current_depth -= 1;
            current_string.push(c);

            if current_depth == 0 {
                result.push(current_string);
                current_string = String::new();
            }
        }
    }

    return result;
}

def f3(number: float) -> float:
    """
    f3: float -> float
    assert f3(3.5) == 0.5
    assert abs(f3(1.33) - 0.33) < 1e-6
    assert abs(f3(123.456) - 0.456) < 1e-6
    """
    return number % 1.0

# Rust f3 translation
fn f3(number: f64) -> f64 {
    return number % 1.0;
}

def f4(a, b):
    """
    Complete the function that takes two integers and returns the product of their unit digits.
    f4: int -> int -> int
    assert f4(148, 412) == 16,
    assert f4(19, 28) == 72,
    assert f4(2020, 1851) == 0
    assert f4(3,3) == 9
    assert f4(12,33) == 6
    """
    return abs(a % 10) * abs(b % 10)

# Rust f4 translation
fn f4(a: i32, b: i32) -> i32 {
    return (a % 10).abs() * (b % 10).abs();
}

def f5(xs: List[int]) -> List[int]:
    """
    xs represent coefficients of a polynomial.
    f5: List[int] -> List[int]
    assert f5([3, 1, 2, 4, 5]) == [1, 4, 12, 20]
    assert f5([1, 2, 3]) == [2, 6]
    assert f5([3, 2, 1]) == [2, 2]
    assert f5([3, 2, 1, 0, 4]) == [2, 2, 0, 16]
    assert f5([1]) == []
    """
    return [(i * x) for i, x in enumerate(xs)][1:]

# Rust f5 translation
fn f5(xs: Vec<i32>) -> Vec<i32> {
    return xs.iter().enumerate().map(|(i, x)| i as i32 * x).skip(1).collect();
}

def f6(n: int) -> str:
    """ Return a string containing space-delimited numbers starting from 0 upto n inclusive. 	assert f6(0) == '0',"Test 0"
	assert f6(3) == '0 1 2 3',"Test 1"
	assert f6(10) == '0 1 2 3 4 5 6 7 8 9 10',"Test 2"
	"""
    return ' '.join([str(x) for x in range(n + 1)])

# Rust f6 translation

def check(candidate):
    assert candidate(0) == '0',"Test 0"
    assert candidate(3) == '0 1 2 3',"Test 1"
    assert candidate(10) == '0 1 2 3 4 5 6 7 8 9 10',"Test 2"


Prompt:
from typing import List, Dict, Tuple, Union, Optional

def f1(numbers: List[float], threshold: float) -> bool:
    """
    f1: List[float] -> float -> bool
    assert f1([1.0, 2.0, 3.9, 4.0, 5.0, 2.2], 0.3) == True
    assert f1([1.0, 2.0, 3.9, 4.0, 5.0, 2.2], 0.05) == False
    assert f1([1.0, 2.0, 5.9, 4.0, 5.0], 0.95) == True
    """
    for idx, elem in enumerate(numbers):
        for idx2, elem2 in enumerate(numbers):
            if idx != idx2:
                distance = abs(elem - elem2)
                if distance < threshold:
                    return True

    return False

#  Rust f1 translation
fn has_close_elements(numbers: Vec<f64>, threshold: f64) -> bool {
    for idx in 0..numbers.len() {
        for idx2 in 0..numbers.len() {
            if idx != idx2 {
                let distance = (numbers[idx] - numbers[idx2]).abs();
                if distance < threshold {
                    return true;
                }
            }
        }
    }

    return false;
}
def f2(paren_string: str) -> List[str]:
    """
    f2: str -> List[str]
    assert f2('(()()) ((())) () ((())()())') == [
        '(()())', '((()))', '()', '((())()())'
    ]
    assert f2('() (()) ((())) (((())))') == [
        '()', '(())', '((()))', '(((())))'
    ]
    assert f2('(()(())((())))') == [
        '(()(())((())))'
    ]
    assert f2('( ) (( )) (( )( ))') == ['()', '(())', '(()())']
    """
    result = []
    current_string = []
    current_depth = 0

    for c in paren_string:
        if c == '(':
            current_depth += 1
            current_string.append(c)
        elif c == ')':
            current_depth -= 1
            current_string.append(c)

            if current_depth == 0:
                result.append(''.join(current_string))
                current_string.clear()

    return result

# Rust f2 translation
fn f2(paren_string: &str) -> Vec<String> {
    let mut result = Vec::new();
    let mut current_string = String::new();
    let mut current_depth = 0;

    for c in paren_string.chars() {
        if c == '(' {
            current_depth += 1;
            current_string.push(c);
        } else if c == ')' {
            current_depth -= 1;
            current_string.push(c);

            if current_depth == 0 {
                result.push(current_string);
                current_string = String::new();
            }
        }
    }

    return result;
}

def f3(number: float) -> float:
    """
    f3: float -> float
    assert f3(3.5) == 0.5
    assert abs(f3(1.33) - 0.33) < 1e-6
    assert abs(f3(123.456) - 0.456) < 1e-6
    """
    return number % 1.0

# Rust f3 translation
fn f3(number: f64) -> f64 {
    return number % 1.0;
}

def f4(a, b):
    """
    Complete the function that takes two integers and returns the product of their unit digits.
    f4: int -> int -> int
    assert f4(148, 412) == 16,
    assert f4(19, 28) == 72,
    assert f4(2020, 1851) == 0
    assert f4(3,3) == 9
    assert f4(12,33) == 6
    """
    return abs(a % 10) * abs(b % 10)

# Rust f4 translation
fn f4(a: i32, b: i32) -> i32 {
    return (a % 10).abs() * (b % 10).abs();
}

def f5(xs: List[int]) -> List[int]:
    """
    xs represent coefficients of a polynomial.
    f5: List[int] -> List[int]
    assert f5([3, 1, 2, 4, 5]) == [1, 4, 12, 20]
    assert f5([1, 2, 3]) == [2, 6]
    assert f5([3, 2, 1]) == [2, 2]
    assert f5([3, 2, 1, 0, 4]) == [2, 2, 0, 16]
    assert f5([1]) == []
    """
    return [(i * x) for i, x in enumerate(xs)][1:]

# Rust f5 translation
fn f5(xs: Vec<i32>) -> Vec<i32> {
    return xs.iter().enumerate().map(|(i, x)| i as i32 * x).skip(1).collect();
}

def f6(string: str) -> int:
    """ Given a string, find out how many distinct characters (regardless of case) does it consist of 	assert f6('') == 0,"Test 0"
	assert f6('abcde') == 5,"Test 1"
	assert f6('abcde' + 'cade' + 'CADE') == 5,"Test 2"
	assert f6('aaaaAAAAaaaa') == 1,"Test 3"
	assert f6('Jerry jERRY JeRRRY') == 5,"Test 4"
	"""
    return len(set(string.lower()))

# Rust f6 translation

def check(candidate):
    assert candidate('') == 0,"Test 0"
    assert candidate('abcde') == 5,"Test 1"
    assert candidate('abcde' + 'cade' + 'CADE') == 5,"Test 2"
    assert candidate('aaaaAAAAaaaa') == 1,"Test 3"
    assert candidate('Jerry jERRY JeRRRY') == 5,"Test 4"


Prompt:
from typing import List, Dict, Tuple, Union, Optional

def f1(numbers: List[float], threshold: float) -> bool:
    """
    f1: List[float] -> float -> bool
    assert f1([1.0, 2.0, 3.9, 4.0, 5.0, 2.2], 0.3) == True
    assert f1([1.0, 2.0, 3.9, 4.0, 5.0, 2.2], 0.05) == False
    assert f1([1.0, 2.0, 5.9, 4.0, 5.0], 0.95) == True
    """
    for idx, elem in enumerate(numbers):
        for idx2, elem2 in enumerate(numbers):
            if idx != idx2:
                distance = abs(elem - elem2)
                if distance < threshold:
                    return True

    return False

#  Rust f1 translation
fn has_close_elements(numbers: Vec<f64>, threshold: f64) -> bool {
    for idx in 0..numbers.len() {
        for idx2 in 0..numbers.len() {
            if idx != idx2 {
                let distance = (numbers[idx] - numbers[idx2]).abs();
                if distance < threshold {
                    return true;
                }
            }
        }
    }

    return false;
}
def f2(paren_string: str) -> List[str]:
    """
    f2: str -> List[str]
    assert f2('(()()) ((())) () ((())()())') == [
        '(()())', '((()))', '()', '((())()())'
    ]
    assert f2('() (()) ((())) (((())))') == [
        '()', '(())', '((()))', '(((())))'
    ]
    assert f2('(()(())((())))') == [
        '(()(())((())))'
    ]
    assert f2('( ) (( )) (( )( ))') == ['()', '(())', '(()())']
    """
    result = []
    current_string = []
    current_depth = 0

    for c in paren_string:
        if c == '(':
            current_depth += 1
            current_string.append(c)
        elif c == ')':
            current_depth -= 1
            current_string.append(c)

            if current_depth == 0:
                result.append(''.join(current_string))
                current_string.clear()

    return result

# Rust f2 translation
fn f2(paren_string: &str) -> Vec<String> {
    let mut result = Vec::new();
    let mut current_string = String::new();
    let mut current_depth = 0;

    for c in paren_string.chars() {
        if c == '(' {
            current_depth += 1;
            current_string.push(c);
        } else if c == ')' {
            current_depth -= 1;
            current_string.push(c);

            if current_depth == 0 {
                result.push(current_string);
                current_string = String::new();
            }
        }
    }

    return result;
}

def f3(number: float) -> float:
    """
    f3: float -> float
    assert f3(3.5) == 0.5
    assert abs(f3(1.33) - 0.33) < 1e-6
    assert abs(f3(123.456) - 0.456) < 1e-6
    """
    return number % 1.0

# Rust f3 translation
fn f3(number: f64) -> f64 {
    return number % 1.0;
}

def f4(a, b):
    """
    Complete the function that takes two integers and returns the product of their unit digits.
    f4: int -> int -> int
    assert f4(148, 412) == 16,
    assert f4(19, 28) == 72,
    assert f4(2020, 1851) == 0
    assert f4(3,3) == 9
    assert f4(12,33) == 6
    """
    return abs(a % 10) * abs(b % 10)

# Rust f4 translation
fn f4(a: i32, b: i32) -> i32 {
    return (a % 10).abs() * (b % 10).abs();
}

def f5(xs: List[int]) -> List[int]:
    """
    xs represent coefficients of a polynomial.
    f5: List[int] -> List[int]
    assert f5([3, 1, 2, 4, 5]) == [1, 4, 12, 20]
    assert f5([1, 2, 3]) == [2, 6]
    assert f5([3, 2, 1]) == [2, 2]
    assert f5([3, 2, 1, 0, 4]) == [2, 2, 0, 16]
    assert f5([1]) == []
    """
    return [(i * x) for i, x in enumerate(xs)][1:]

# Rust f5 translation
fn f5(xs: Vec<i32>) -> Vec<i32> {
    return xs.iter().enumerate().map(|(i, x)| i as i32 * x).skip(1).collect();
}

from typing import List

def f6(music_string: str) -> List[int]:
    """ Input to this function is a string representing musical notes in a special ASCII format.
    Your task is to parse this string and return list of integers corresponding to how many beats does each
    not last.

    Here is a legend:
    'o' - whole note, lasts four beats
    'o|' - half note, lasts two beats
    '.|' - quater note, lasts one beat 	assert f6('') == [],"Test 0"
	assert f6('o o o o') == [4, 4, 4, 4],"Test 1"
	assert f6('.| .| .| .|') == [1, 1, 1, 1],"Test 2"
	assert f6('o| o| .| .| o o o o') == [2, 2, 1, 1, 4, 4, 4, 4],"Test 3"
	assert f6('o| .| o| .| o o| o o|') == [2, 1, 2, 1, 4, 2, 4, 2],"Test 4"
	"""
    note_map = {'o': 4, 'o|': 2, '.|': 1}
    return [note_map[x] for x in music_string.split(' ') if x]

# Rust f6 translation


Prompt:
from typing import List, Dict, Tuple, Union, Optional

def f1(numbers: List[float], threshold: float) -> bool:
    """
    f1: List[float] -> float -> bool
    assert f1([1.0, 2.0, 3.9, 4.0, 5.0, 2.2], 0.3) == True
    assert f1([1.0, 2.0, 3.9, 4.0, 5.0, 2.2], 0.05) == False
    assert f1([1.0, 2.0, 5.9, 4.0, 5.0], 0.95) == True
    """
    for idx, elem in enumerate(numbers):
        for idx2, elem2 in enumerate(numbers):
            if idx != idx2:
                distance = abs(elem - elem2)
                if distance < threshold:
                    return True

    return False

#  Rust f1 translation
fn has_close_elements(numbers: Vec<f64>, threshold: f64) -> bool {
    for idx in 0..numbers.len() {
        for idx2 in 0..numbers.len() {
            if idx != idx2 {
                let distance = (numbers[idx] - numbers[idx2]).abs();
                if distance < threshold {
                    return true;
                }
            }
        }
    }

    return false;
}
def f2(paren_string: str) -> List[str]:
    """
    f2: str -> List[str]
    assert f2('(()()) ((())) () ((())()())') == [
        '(()())', '((()))', '()', '((())()())'
    ]
    assert f2('() (()) ((())) (((())))') == [
        '()', '(())', '((()))', '(((())))'
    ]
    assert f2('(()(())((())))') == [
        '(()(())((())))'
    ]
    assert f2('( ) (( )) (( )( ))') == ['()', '(())', '(()())']
    """
    result = []
    current_string = []
    current_depth = 0

    for c in paren_string:
        if c == '(':
            current_depth += 1
            current_string.append(c)
        elif c == ')':
            current_depth -= 1
            current_string.append(c)

            if current_depth == 0:
                result.append(''.join(current_string))
                current_string.clear()

    return result

# Rust f2 translation
fn f2(paren_string: &str) -> Vec<String> {
    let mut result = Vec::new();
    let mut current_string = String::new();
    let mut current_depth = 0;

    for c in paren_string.chars() {
        if c == '(' {
            current_depth += 1;
            current_string.push(c);
        } else if c == ')' {
            current_depth -= 1;
            current_string.push(c);

            if current_depth == 0 {
                result.push(current_string);
                current_string = String::new();
            }
        }
    }

    return result;
}

def f3(number: float) -> float:
    """
    f3: float -> float
    assert f3(3.5) == 0.5
    assert abs(f3(1.33) - 0.33) < 1e-6
    assert abs(f3(123.456) - 0.456) < 1e-6
    """
    return number % 1.0

# Rust f3 translation
fn f3(number: f64) -> f64 {
    return number % 1.0;
}

def f4(a, b):
    """
    Complete the function that takes two integers and returns the product of their unit digits.
    f4: int -> int -> int
    assert f4(148, 412) == 16,
    assert f4(19, 28) == 72,
    assert f4(2020, 1851) == 0
    assert f4(3,3) == 9
    assert f4(12,33) == 6
    """
    return abs(a % 10) * abs(b % 10)

# Rust f4 translation
fn f4(a: i32, b: i32) -> i32 {
    return (a % 10).abs() * (b % 10).abs();
}

def f5(xs: List[int]) -> List[int]:
    """
    xs represent coefficients of a polynomial.
    f5: List[int] -> List[int]
    assert f5([3, 1, 2, 4, 5]) == [1, 4, 12, 20]
    assert f5([1, 2, 3]) == [2, 6]
    assert f5([3, 2, 1]) == [2, 2]
    assert f5([3, 2, 1, 0, 4]) == [2, 2, 0, 16]
    assert f5([1]) == []
    """
    return [(i * x) for i, x in enumerate(xs)][1:]

# Rust f5 translation
fn f5(xs: Vec<i32>) -> Vec<i32> {
    return xs.iter().enumerate().map(|(i, x)| i as i32 * x).skip(1).collect();
}

def f6(string: str, substring: str) -> int:
    """ Find how many times a given substring can be found in the original string. Count overlaping cases. 	assert f6('', 'x') == 0,"Test 0"
	assert f6('xyxyxyx', 'x') == 4,"Test 1"
	assert f6('cacacacac', 'cac') == 4,"Test 2"
	assert f6('john doe', 'john') == 1,"Test 3"
	"""
    times = 0

    for i in range(len(string) - len(substring) + 1):
        if string[i:i+len(substring)] == substring:
            times += 1

    return times

# Rust f6 translation

def check(candidate):
    assert candidate('', 'x') == 0,"Test 0"
    assert candidate('xyxyxyx', 'x') == 4,"Test 1"
    assert candidate('cacacacac', 'cac') == 4,"Test 2"
    assert candidate('john doe', 'john') == 1,"Test 3"


Prompt:
from typing import List, Dict, Tuple, Union, Optional

def f1(numbers: List[float], threshold: float) -> bool:
    """
    f1: List[float] -> float -> bool
    assert f1([1.0, 2.0, 3.9, 4.0, 5.0, 2.2], 0.3) == True
    assert f1([1.0, 2.0, 3.9, 4.0, 5.0, 2.2], 0.05) == False
    assert f1([1.0, 2.0, 5.9, 4.0, 5.0], 0.95) == True
    """
    for idx, elem in enumerate(numbers):
        for idx2, elem2 in enumerate(numbers):
            if idx != idx2:
                distance = abs(elem - elem2)
                if distance < threshold:
                    return True

    return False

#  Rust f1 translation
fn has_close_elements(numbers: Vec<f64>, threshold: f64) -> bool {
    for idx in 0..numbers.len() {
        for idx2 in 0..numbers.len() {
            if idx != idx2 {
                let distance = (numbers[idx] - numbers[idx2]).abs();
                if distance < threshold {
                    return true;
                }
            }
        }
    }

    return false;
}
def f2(paren_string: str) -> List[str]:
    """
    f2: str -> List[str]
    assert f2('(()()) ((())) () ((())()())') == [
        '(()())', '((()))', '()', '((())()())'
    ]
    assert f2('() (()) ((())) (((())))') == [
        '()', '(())', '((()))', '(((())))'
    ]
    assert f2('(()(())((())))') == [
        '(()(())((())))'
    ]
    assert f2('( ) (( )) (( )( ))') == ['()', '(())', '(()())']
    """
    result = []
    current_string = []
    current_depth = 0

    for c in paren_string:
        if c == '(':
            current_depth += 1
            current_string.append(c)
        elif c == ')':
            current_depth -= 1
            current_string.append(c)

            if current_depth == 0:
                result.append(''.join(current_string))
                current_string.clear()

    return result

# Rust f2 translation
fn f2(paren_string: &str) -> Vec<String> {
    let mut result = Vec::new();
    let mut current_string = String::new();
    let mut current_depth = 0;

    for c in paren_string.chars() {
        if c == '(' {
            current_depth += 1;
            current_string.push(c);
        } else if c == ')' {
            current_depth -= 1;
            current_string.push(c);

            if current_depth == 0 {
                result.push(current_string);
                current_string = String::new();
            }
        }
    }

    return result;
}

def f3(number: float) -> float:
    """
    f3: float -> float
    assert f3(3.5) == 0.5
    assert abs(f3(1.33) - 0.33) < 1e-6
    assert abs(f3(123.456) - 0.456) < 1e-6
    """
    return number % 1.0

# Rust f3 translation
fn f3(number: f64) -> f64 {
    return number % 1.0;
}

def f4(a, b):
    """
    Complete the function that takes two integers and returns the product of their unit digits.
    f4: int -> int -> int
    assert f4(148, 412) == 16,
    assert f4(19, 28) == 72,
    assert f4(2020, 1851) == 0
    assert f4(3,3) == 9
    assert f4(12,33) == 6
    """
    return abs(a % 10) * abs(b % 10)

# Rust f4 translation
fn f4(a: i32, b: i32) -> i32 {
    return (a % 10).abs() * (b % 10).abs();
}

def f5(xs: List[int]) -> List[int]:
    """
    xs represent coefficients of a polynomial.
    f5: List[int] -> List[int]
    assert f5([3, 1, 2, 4, 5]) == [1, 4, 12, 20]
    assert f5([1, 2, 3]) == [2, 6]
    assert f5([3, 2, 1]) == [2, 2]
    assert f5([3, 2, 1, 0, 4]) == [2, 2, 0, 16]
    assert f5([1]) == []
    """
    return [(i * x) for i, x in enumerate(xs)][1:]

# Rust f5 translation
fn f5(xs: Vec<i32>) -> Vec<i32> {
    return xs.iter().enumerate().map(|(i, x)| i as i32 * x).skip(1).collect();
}

from typing import List

def f6(numbers: str) -> str:
    """ Input is a space-delimited string of numberals from 'zero' to 'nine'.
    Valid choices are 'zero', 'one', 'two', 'three', 'four', 'five', 'six', 'seven', 'eight' and 'nine'.
    Return the string with numbers sorted from smallest to largest 	assert f6('') == '',"Test 0"
	assert f6('three') == 'three',"Test 1"
	assert f6('three five nine') == 'three five nine',"Test 2"
	assert f6('five zero four seven nine eight') == 'zero four five seven eight nine',"Test 3"
	assert f6('six five four three two one zero') == 'zero one two three four five six',"Test 4"
	"""
    value_map = {
        'zero': 0,
        'one': 1,
        'two': 2,
        'three': 3,
        'four': 4,
        'five': 5,
        'six': 6,
        'seven': 7,
        'eight': 8,
        'nine': 9
    }
    return ' '.join(sorted([x for x in numbers.split(' ') if x], key=lambda x: value_map[x]))

# Rust f6 translation

def check(candidate):
    assert candidate('') == '',"Test 0"
    assert candidate('three') == 'three',"Test 1"
    assert candidate('three five nine') == 'three five nine',"Test 2"
    assert candidate('five zero four seven nine eight') == 'zero four five seven eight nine',"Test 3"
    assert candidate('six five four three two one zero') == 'zero one two three four five six',"Test 4"


Prompt:
from typing import List, Dict, Tuple, Union, Optional

def f1(numbers: List[float], threshold: float) -> bool:
    """
    f1: List[float] -> float -> bool
    assert f1([1.0, 2.0, 3.9, 4.0, 5.0, 2.2], 0.3) == True
    assert f1([1.0, 2.0, 3.9, 4.0, 5.0, 2.2], 0.05) == False
    assert f1([1.0, 2.0, 5.9, 4.0, 5.0], 0.95) == True
    """
    for idx, elem in enumerate(numbers):
        for idx2, elem2 in enumerate(numbers):
            if idx != idx2:
                distance = abs(elem - elem2)
                if distance < threshold:
                    return True

    return False

#  Rust f1 translation
fn has_close_elements(numbers: Vec<f64>, threshold: f64) -> bool {
    for idx in 0..numbers.len() {
        for idx2 in 0..numbers.len() {
            if idx != idx2 {
                let distance = (numbers[idx] - numbers[idx2]).abs();
                if distance < threshold {
                    return true;
                }
            }
        }
    }

    return false;
}
def f2(paren_string: str) -> List[str]:
    """
    f2: str -> List[str]
    assert f2('(()()) ((())) () ((())()())') == [
        '(()())', '((()))', '()', '((())()())'
    ]
    assert f2('() (()) ((())) (((())))') == [
        '()', '(())', '((()))', '(((())))'
    ]
    assert f2('(()(())((())))') == [
        '(()(())((())))'
    ]
    assert f2('( ) (( )) (( )( ))') == ['()', '(())', '(()())']
    """
    result = []
    current_string = []
    current_depth = 0

    for c in paren_string:
        if c == '(':
            current_depth += 1
            current_string.append(c)
        elif c == ')':
            current_depth -= 1
            current_string.append(c)

            if current_depth == 0:
                result.append(''.join(current_string))
                current_string.clear()

    return result

# Rust f2 translation
fn f2(paren_string: &str) -> Vec<String> {
    let mut result = Vec::new();
    let mut current_string = String::new();
    let mut current_depth = 0;

    for c in paren_string.chars() {
        if c == '(' {
            current_depth += 1;
            current_string.push(c);
        } else if c == ')' {
            current_depth -= 1;
            current_string.push(c);

            if current_depth == 0 {
                result.push(current_string);
                current_string = String::new();
            }
        }
    }

    return result;
}

def f3(number: float) -> float:
    """
    f3: float -> float
    assert f3(3.5) == 0.5
    assert abs(f3(1.33) - 0.33) < 1e-6
    assert abs(f3(123.456) - 0.456) < 1e-6
    """
    return number % 1.0

# Rust f3 translation
fn f3(number: f64) -> f64 {
    return number % 1.0;
}

def f4(a, b):
    """
    Complete the function that takes two integers and returns the product of their unit digits.
    f4: int -> int -> int
    assert f4(148, 412) == 16,
    assert f4(19, 28) == 72,
    assert f4(2020, 1851) == 0
    assert f4(3,3) == 9
    assert f4(12,33) == 6
    """
    return abs(a % 10) * abs(b % 10)

# Rust f4 translation
fn f4(a: i32, b: i32) -> i32 {
    return (a % 10).abs() * (b % 10).abs();
}

def f5(xs: List[int]) -> List[int]:
    """
    xs represent coefficients of a polynomial.
    f5: List[int] -> List[int]
    assert f5([3, 1, 2, 4, 5]) == [1, 4, 12, 20]
    assert f5([1, 2, 3]) == [2, 6]
    assert f5([3, 2, 1]) == [2, 2]
    assert f5([3, 2, 1, 0, 4]) == [2, 2, 0, 16]
    assert f5([1]) == []
    """
    return [(i * x) for i, x in enumerate(xs)][1:]

# Rust f5 translation
fn f5(xs: Vec<i32>) -> Vec<i32> {
    return xs.iter().enumerate().map(|(i, x)| i as i32 * x).skip(1).collect();
}

from typing import List, Tuple

def f6(numbers: List[float]) -> Tuple[float, float]:
    """ From a supplied list of numbers (of length at least two) select and return two that are the closest to each
    other and return them in order (smaller number, larger number). 	assert f6([1.0, 2.0, 3.9, 4.0, 5.0, 2.2]) == (3.9, 4.0),"Test 0"
	assert f6([1.0, 2.0, 5.9, 4.0, 5.0]) == (5.0, 5.9),"Test 1"
	assert f6([1.0, 2.0, 3.0, 4.0, 5.0, 2.2]) == (2.0, 2.2),"Test 2"
	assert f6([1.0, 2.0, 3.0, 4.0, 5.0, 2.0]) == (2.0, 2.0),"Test 3"
	assert f6([1.1, 2.2, 3.1, 4.1, 5.1]) == (2.2, 3.1),"Test 4"
	"""
    closest_pair = None
    distance = None

    for idx, elem in enumerate(numbers):
        for idx2, elem2 in enumerate(numbers):
            if idx != idx2:
                if distance is None:
                    distance = abs(elem - elem2)
                    closest_pair = tuple(sorted([elem, elem2]))
                else:
                    new_distance = abs(elem - elem2)
                    if new_distance < distance:
                        distance = new_distance
                        closest_pair = tuple(sorted([elem, elem2]))

    return closest_pair

# Rust f6 translation


Prompt:
from typing import List, Dict, Tuple, Union, Optional

def f1(numbers: List[float], threshold: float) -> bool:
    """
    f1: List[float] -> float -> bool
    assert f1([1.0, 2.0, 3.9, 4.0, 5.0, 2.2], 0.3) == True
    assert f1([1.0, 2.0, 3.9, 4.0, 5.0, 2.2], 0.05) == False
    assert f1([1.0, 2.0, 5.9, 4.0, 5.0], 0.95) == True
    """
    for idx, elem in enumerate(numbers):
        for idx2, elem2 in enumerate(numbers):
            if idx != idx2:
                distance = abs(elem - elem2)
                if distance < threshold:
                    return True

    return False

#  Rust f1 translation
fn has_close_elements(numbers: Vec<f64>, threshold: f64) -> bool {
    for idx in 0..numbers.len() {
        for idx2 in 0..numbers.len() {
            if idx != idx2 {
                let distance = (numbers[idx] - numbers[idx2]).abs();
                if distance < threshold {
                    return true;
                }
            }
        }
    }

    return false;
}
def f2(paren_string: str) -> List[str]:
    """
    f2: str -> List[str]
    assert f2('(()()) ((())) () ((())()())') == [
        '(()())', '((()))', '()', '((())()())'
    ]
    assert f2('() (()) ((())) (((())))') == [
        '()', '(())', '((()))', '(((())))'
    ]
    assert f2('(()(())((())))') == [
        '(()(())((())))'
    ]
    assert f2('( ) (( )) (( )( ))') == ['()', '(())', '(()())']
    """
    result = []
    current_string = []
    current_depth = 0

    for c in paren_string:
        if c == '(':
            current_depth += 1
            current_string.append(c)
        elif c == ')':
            current_depth -= 1
            current_string.append(c)

            if current_depth == 0:
                result.append(''.join(current_string))
                current_string.clear()

    return result

# Rust f2 translation
fn f2(paren_string: &str) -> Vec<String> {
    let mut result = Vec::new();
    let mut current_string = String::new();
    let mut current_depth = 0;

    for c in paren_string.chars() {
        if c == '(' {
            current_depth += 1;
            current_string.push(c);
        } else if c == ')' {
            current_depth -= 1;
            current_string.push(c);

            if current_depth == 0 {
                result.push(current_string);
                current_string = String::new();
            }
        }
    }

    return result;
}

def f3(number: float) -> float:
    """
    f3: float -> float
    assert f3(3.5) == 0.5
    assert abs(f3(1.33) - 0.33) < 1e-6
    assert abs(f3(123.456) - 0.456) < 1e-6
    """
    return number % 1.0

# Rust f3 translation
fn f3(number: f64) -> f64 {
    return number % 1.0;
}

def f4(a, b):
    """
    Complete the function that takes two integers and returns the product of their unit digits.
    f4: int -> int -> int
    assert f4(148, 412) == 16,
    assert f4(19, 28) == 72,
    assert f4(2020, 1851) == 0
    assert f4(3,3) == 9
    assert f4(12,33) == 6
    """
    return abs(a % 10) * abs(b % 10)

# Rust f4 translation
fn f4(a: i32, b: i32) -> i32 {
    return (a % 10).abs() * (b % 10).abs();
}

def f5(xs: List[int]) -> List[int]:
    """
    xs represent coefficients of a polynomial.
    f5: List[int] -> List[int]
    assert f5([3, 1, 2, 4, 5]) == [1, 4, 12, 20]
    assert f5([1, 2, 3]) == [2, 6]
    assert f5([3, 2, 1]) == [2, 2]
    assert f5([3, 2, 1, 0, 4]) == [2, 2, 0, 16]
    assert f5([1]) == []
    """
    return [(i * x) for i, x in enumerate(xs)][1:]

# Rust f5 translation
fn f5(xs: Vec<i32>) -> Vec<i32> {
    return xs.iter().enumerate().map(|(i, x)| i as i32 * x).skip(1).collect();
}

from typing import List

def f6(numbers: List[float]) -> List[float]:
    """ Given list of numbers (of at least two elements), apply a linear transform to that list,
    such that the smallest number will become 0 and the largest will become 1 	assert f6([2.0, 49.9]) == [0.0, 1.0],"Test 0"
	assert f6([100.0, 49.9]) == [1.0, 0.0],"Test 1"
	assert f6([1.0, 2.0, 3.0, 4.0, 5.0]) == [0.0, 0.25, 0.5, 0.75, 1.0],"Test 2"
	assert f6([2.0, 1.0, 5.0, 3.0, 4.0]) == [0.25, 0.0, 1.0, 0.5, 0.75],"Test 3"
	assert f6([12.0, 11.0, 15.0, 13.0, 14.0]) == [0.25, 0.0, 1.0, 0.5, 0.75],"Test 4"
	"""
    min_number = min(numbers)
    max_number = max(numbers)
    return [(x - min_number) / (max_number - min_number) for x in numbers]

# Rust f6 translation