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(s):
    """Task
    Write a function that takes a string as input and returns the sum of the upper characters only'
    ASCII codes. 	assert True,"Test 0"
	assert f6("") == 0,"Test 1"
	assert f6("abAB") == 131,"Test 2"
	assert f6("abcCd") == 67,"Test 3"
	assert f6("helloE") == 69,"Test 4"
	assert f6("woArBld") == 131,"Test 5"
	assert f6("aAaaaXa") == 153,"Test 6"
	assert True,"Test 7"
	assert f6(" How are yOu?") == 151,"Test 8"
	assert f6("You arE Very Smart") == 327,"Test 9"
	"""
    if s == "": return 0
    return sum(ord(char) if char.isupper() else 0 for char in s)

# Rust f6 translation

def check(candidate):
    assert True,"Test 0"
    assert candidate("") == 0,"Test 1"
    assert candidate("abAB") == 131,"Test 2"
    assert candidate("abcCd") == 67,"Test 3"
    assert candidate("helloE") == 69,"Test 4"
    assert candidate("woArBld") == 131,"Test 5"
    assert candidate("aAaaaXa") == 153,"Test 6"
    assert True,"Test 7"
    assert candidate(" How are yOu?") == 151,"Test 8"
    assert candidate("You arE Very Smart") == 327,"Test 9"


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(s,n):
    """
    In this task, you will be given a string that represents a number of apples and oranges
    that are distributed in a basket of fruit this basket contains
    apples, oranges, and mango fruits. Given the string that represents the total number of
    the oranges and apples and an integer that represent the total number of the fruits
    in the basket return the number of the mango fruits in the basket.
    for examble:
    f6("5 apples and 6 oranges", 19) ->19 - 5 - 6 = 8
    f6("0 apples and 1 oranges",3) -> 3 - 0 - 1 = 2
    f6("2 apples and 3 oranges", 100) -> 100 - 2 - 3 = 95
    f6("100 apples and 1 oranges",120) -> 120 - 100 - 1 = 19
    	assert f6("5 apples and 6 oranges",19) == 8,"Test 0"
	assert f6("5 apples and 6 oranges",21) == 10,"Test 1"
	assert f6("0 apples and 1 oranges",3) == 2,"Test 2"
	assert f6("1 apples and 0 oranges",3) == 2,"Test 3"
	assert f6("2 apples and 3 oranges",100) == 95,"Test 4"
	assert f6("2 apples and 3 oranges",5) == 0,"Test 5"
	assert f6("1 apples and 100 oranges",120) == 19,"Test 6"
	"""
    lis = list()
    for i in s.split(' '):
        if i.isdigit():
            lis.append(int(i))
    return n - sum(lis)

# Rust f6 translation

def check(candidate):
    assert candidate("5 apples and 6 oranges",19) == 8,"Test 0"
    assert candidate("5 apples and 6 oranges",21) == 10,"Test 1"
    assert candidate("0 apples and 1 oranges",3) == 2,"Test 2"
    assert candidate("1 apples and 0 oranges",3) == 2,"Test 3"
    assert candidate("2 apples and 3 oranges",100) == 95,"Test 4"
    assert candidate("2 apples and 3 oranges",5) == 0,"Test 5"
    assert candidate("1 apples and 100 oranges",120) == 19,"Test 6"


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(arr):
    """
    "Given an array representing a branch of a tree that has non-negative integer nodes
    your task is to f6 one of the nodes and return it.
    The f6ed node should be the node with the smallest even value.
    If multiple nodes with the same smallest even value are found return the node that has smallest index.

    The f6ed node should be returned in a list, [ smalest_value, its index ],
    If there are no even values or the given array is empty, return []. 	assert True,"Test 0"
	assert f6([4,2,3]) == [2, 1],"Test 1"
	assert f6([1,2,3]) == [2, 1],"Test 2"
	assert f6([]) == [],"Test 3"
	assert f6([5, 0, 3, 0, 4, 2]) == [0, 1],"Test 4"
	assert True,"Test 5"
	assert f6([1, 2, 3, 0, 5, 3]) == [0, 3],"Test 6"
	assert f6([5, 4, 8, 4 ,8]) == [4, 1],"Test 7"
	assert f6([7, 6, 7, 1]) == [6, 1],"Test 8"
	assert f6([7, 9, 7, 1]) == [],"Test 9"
	"""
    if(len(arr) == 0): return []
    evens = list(filter(lambda x: x%2 == 0, arr))
    if(evens == []): return []
    return [min(evens), arr.index(min(evens))]

# Rust f6 translation

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


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(lst):
    '''
    You are given a non-empty list of positive integers. Return the greatest integer that is greater than
    zero, and has a frequency greater than or equal to the value of the integer itself.
    The frequency of an integer is the number of times it appears in the list.
    If no such a value exist, return -1. 	assert f6([5, 5, 5, 5, 1]) == 1,"Test 0"
	assert f6([4, 1, 4, 1, 4, 4]) == 4,"Test 1"
	assert f6([3, 3]) == -1,"Test 2"
	assert f6([8, 8, 8, 8, 8, 8, 8, 8]) == 8,"Test 3"
	assert f6([2, 3, 3, 2, 2]) == 2,"Test 4"
	assert f6([2, 7, 8, 8, 4, 8, 7, 3, 9, 6, 5, 10, 4, 3, 6, 7, 1, 7, 4, 10, 8, 1]) == 1,"Test 5"
	assert f6([3, 2, 8, 2]) == 2,"Test 6"
	assert f6([6, 7, 1, 8, 8, 10, 5, 8, 5, 3, 10]) == 1,"Test 7"
	assert f6([8, 8, 3, 6, 5, 6, 4]) == -1,"Test 8"
	assert f6([6, 9, 6, 7, 1, 4, 7, 1, 8, 8, 9, 8, 10, 10, 8, 4, 10, 4, 10, 1, 2, 9, 5, 7, 9]) == 1,"Test 9"
	assert f6([1, 9, 10, 1, 3]) == 1,"Test 10"
	assert f6([6, 9, 7, 5, 8, 7, 5, 3, 7, 5, 10, 10, 3, 6, 10, 2, 8, 6, 5, 4, 9, 5, 3, 10]) == 5,"Test 11"
	assert f6([1]) == 1,"Test 12"
	assert f6([8, 8, 10, 6, 4, 3, 5, 8, 2, 4, 2, 8, 4, 6, 10, 4, 2, 1, 10, 2, 1, 1, 5]) == 4,"Test 13"
	assert f6([2, 10, 4, 8, 2, 10, 5, 1, 2, 9, 5, 5, 6, 3, 8, 6, 4, 10]) == 2,"Test 14"
	assert f6([1, 6, 10, 1, 6, 9, 10, 8, 6, 8, 7, 3]) == 1,"Test 15"
	assert f6([9, 2, 4, 1, 5, 1, 5, 2, 5, 7, 7, 7, 3, 10, 1, 5, 4, 2, 8, 4, 1, 9, 10, 7, 10, 2, 8, 10, 9, 4]) == 4,"Test 16"
	assert f6([2, 6, 4, 2, 8, 7, 5, 6, 4, 10, 4, 6, 3, 7, 8, 8, 3, 1, 4, 2, 2, 10, 7]) == 4,"Test 17"
	assert f6([9, 8, 6, 10, 2, 6, 10, 2, 7, 8, 10, 3, 8, 2, 6, 2, 3, 1]) == 2,"Test 18"
	assert f6([5, 5, 3, 9, 5, 6, 3, 2, 8, 5, 6, 10, 10, 6, 8, 4, 10, 7, 7, 10, 8]) == -1,"Test 19"
	assert f6([10]) == -1,"Test 20"
	assert f6([9, 7, 7, 2, 4, 7, 2, 10, 9, 7, 5, 7, 2]) == 2,"Test 21"
	assert f6([5, 4, 10, 2, 1, 1, 10, 3, 6, 1, 8]) == 1,"Test 22"
	assert f6([7, 9, 9, 9, 3, 4, 1, 5, 9, 1, 2, 1, 1, 10, 7, 5, 6, 7, 6, 7, 7, 6]) == 1,"Test 23"
	assert f6([3, 10, 10, 9, 2]) == -1,"Test 24"
	"""
    frq = [0] * (max(lst) + 1)
    for i in lst:
        frq[i] += 1;

    ans = -1
    for i in range(1, len(frq)):
        if frq[i] >= i:
            ans = i

    return ans

# 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(lst):
    '''
    Given list of integers, return list in strange order.
    Strange sorting, is when you start with the minimum value,
    then maximum of the remaining integers, then minimum and so on. 	assert f6([1, 2, 3, 4]) == [1, 4, 2, 3],"Test 0"
	assert f6([5, 6, 7, 8, 9]) == [5, 9, 6, 8, 7],"Test 1"
	assert f6([1, 2, 3, 4, 5]) == [1, 5, 2, 4, 3],"Test 2"
	assert f6([5, 6, 7, 8, 9, 1]) == [1, 9, 5, 8, 6, 7],"Test 3"
	assert f6([5, 5, 5, 5]) == [5, 5, 5, 5],"Test 4"
	assert f6([]) == [],"Test 5"
	assert f6([1,2,3,4,5,6,7,8]) == [1, 8, 2, 7, 3, 6, 4, 5],"Test 6"
	assert f6([0,2,2,2,5,5,-5,-5]) == [-5, 5, -5, 5, 0, 2, 2, 2],"Test 7"
	assert f6([111111]) == [111111],"Test 8"
	assert True,"Test 9"
	"""
    res, switch = [], True
    while lst:
        res.append(min(lst) if switch else max(lst))
        lst.remove(res[-1])
        switch = not switch
    return res

# 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(a, b, c):
    '''
    Given the lengths of the three sides of a triangle. Return the area of
    the triangle rounded to 2 decimal points if the three sides form a valid triangle.
    Otherwise return -1
    Three sides make a valid triangle when the sum of any two sides is greater
    than the third side. 	assert f6(3, 4, 5) == 6.00,"Test 0"
	assert f6(1, 2, 10) == -1,"Test 1"
	assert f6(4, 8, 5) == 8.18,"Test 2"
	assert f6(2, 2, 2) == 1.73,"Test 3"
	assert f6(1, 2, 3) == -1,"Test 4"
	assert f6(10, 5, 7) == 16.25,"Test 5"
	assert f6(2, 6, 3) == -1,"Test 6"
	assert f6(1, 1, 1) == 0.43,"Test 7"
	assert f6(2, 2, 10) == -1,"Test 8"
	"""
    if a + b <= c or a + c <= b or b + c <= a:
        return -1
    s = (a + b + c)/2
    area = (s * (s - a) * (s - b) * (s - c)) ** 0.5
    area = round(area, 2)
    return area

# Rust f6 translation

def check(candidate):
    assert candidate(3, 4, 5) == 6.00,"Test 0"
    assert candidate(1, 2, 10) == -1,"Test 1"
    assert candidate(4, 8, 5) == 8.18,"Test 2"
    assert candidate(2, 2, 2) == 1.73,"Test 3"
    assert candidate(1, 2, 3) == -1,"Test 4"
    assert candidate(10, 5, 7) == 16.25,"Test 5"
    assert candidate(2, 6, 3) == -1,"Test 6"
    assert candidate(1, 1, 1) == 0.43,"Test 7"
    assert candidate(2, 2, 10) == -1,"Test 8"


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(q,w):
    '''	assert f6([3, 2, 3], 9) is True,"Test 0"
	assert f6([1, 2], 5) is False,"Test 1"
	assert f6([3], 5) is True,"Test 2"
	assert f6([3, 2, 3], 1) is False,"Test 3"
	assert f6([1, 2, 3], 6) is False,"Test 4"
	assert f6([5], 5) is True,"Test 5"
	"""
    if sum(q) > w:
        return False

    i, j = 0, len(q)-1
    while i<j:
        if q[i] != q[j]:
            return False
        i+=1
        j-=1
    return True

# Rust f6 translation

def check(candidate):
    assert candidate([3, 2, 3], 9) is True,"Test 0"
    assert candidate([1, 2], 5) is False,"Test 1"
    assert candidate([3], 5) is True,"Test 2"
    assert candidate([3, 2, 3], 1) is False,"Test 3"
    assert candidate([1, 2, 3], 6) is False,"Test 4"
    assert candidate([5], 5) is 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();
}

def f6(arr):
    """
    Given an array arr of integers, find the minimum number of elements that
    need to be changed to make the array palindromic. A palindromic array is an array that
    is read the same backwards and forwards. In one change, you can change one element to any other element. 	assert f6([1,2,3,5,4,7,9,6]) == 4,"Test 0"
	assert f6([1, 2, 3, 4, 3, 2, 2]) == 1,"Test 1"
	assert f6([1, 4, 2]) == 1,"Test 2"
	assert f6([1, 4, 4, 2]) == 1,"Test 3"
	assert f6([1, 2, 3, 2, 1]) == 0,"Test 4"
	assert f6([3, 1, 1, 3]) == 0,"Test 5"
	assert f6([1]) == 0,"Test 6"
	assert f6([0, 1]) == 1,"Test 7"
	"""
    ans = 0
    for i in range(len(arr) // 2):
        if arr[i] != arr[len(arr) - i - 1]:
            ans += 1
    return ans

# Rust f6 translation

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


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(lst1, lst2):
    '''
    Write a function that accepts two lists of strings and returns the list that has
    total number of chars in the all strings of the list less than the other list.

    if the two lists have the same number of chars, return the first list. 	assert True,"Test 0"
	assert f6([], []) == [],"Test 1"
	assert f6(['hi', 'admin'], ['hi', 'hi']) == ['hi', 'hi'],"Test 2"
	assert f6(['hi', 'admin'], ['hi', 'hi', 'admin', 'project']) == ['hi', 'admin'],"Test 3"
	assert f6(['4'], ['1', '2', '3', '4', '5']) == ['4'],"Test 4"
	assert f6(['hi', 'admin'], ['hI', 'Hi']) == ['hI', 'Hi'],"Test 5"
	assert f6(['hi', 'admin'], ['hI', 'hi', 'hi']) == ['hI', 'hi', 'hi'],"Test 6"
	assert f6(['hi', 'admin'], ['hI', 'hi', 'hii']) == ['hi', 'admin'],"Test 7"
	assert True,"Test 8"
	assert f6([], ['this']) == [],"Test 9"
	assert f6(['this'], []) == [],"Test 10"
	"""
    l1 = 0
    for st in lst1:
        l1 += len(st)

    l2 = 0
    for st in lst2:
        l2 += len(st)

    if l1 <= l2:
        return lst1
    else:
        return lst2

# Rust f6 translation

def check(candidate):
    assert True,"Test 0"
    assert candidate([], []) == [],"Test 1"
    assert candidate(['hi', 'admin'], ['hi', 'hi']) == ['hi', 'hi'],"Test 2"
    assert candidate(['hi', 'admin'], ['hi', 'hi', 'admin', 'project']) == ['hi', 'admin'],"Test 3"
    assert candidate(['4'], ['1', '2', '3', '4', '5']) == ['4'],"Test 4"
    assert candidate(['hi', 'admin'], ['hI', 'Hi']) == ['hI', 'Hi'],"Test 5"
    assert candidate(['hi', 'admin'], ['hI', 'hi', 'hi']) == ['hI', 'hi', 'hi'],"Test 6"
    assert candidate(['hi', 'admin'], ['hI', 'hi', 'hii']) == ['hi', 'admin'],"Test 7"
    assert True,"Test 8"
    assert candidate([], ['this']) == [],"Test 9"
    assert candidate(['this'], []) == [],"Test 10"


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):
    """Write a function that returns true if the given number is the multiplication of 3 prime numbers
    and false otherwise.
    Knowing that (a) is less then 100. 	assert f6(5) == False,"Test 0"
	assert f6(30) == True,"Test 1"
	assert f6(8) == True,"Test 2"
	assert f6(10) == False,"Test 3"
	assert f6(125) == True,"Test 4"
	assert f6(3 * 5 * 7) == True,"Test 5"
	assert f6(3 * 6 * 7) == False,"Test 6"
	assert f6(9 * 9 * 9) == False,"Test 7"
	assert f6(11 * 9 * 9) == False,"Test 8"
	assert f6(11 * 13 * 7) == True,"Test 9"
	"""
    def is_prime(n):
        for j in range(2,n):
            if n%j == 0:
                return False
        return True

    for i in range(2,101):
        if not is_prime(i): continue
        for j in range(2,101):
            if not is_prime(j): continue
            for k in range(2,101):
                if not is_prime(k): continue
                if i*j*k == a: return True
    return False

# Rust f6 translation

def check(candidate):
    assert candidate(5) == False,"Test 0"
    assert candidate(30) == True,"Test 1"
    assert candidate(8) == True,"Test 2"
    assert candidate(10) == False,"Test 3"
    assert candidate(125) == True,"Test 4"
    assert candidate(3 * 5 * 7) == True,"Test 5"
    assert candidate(3 * 6 * 7) == False,"Test 6"
    assert candidate(9 * 9 * 9) == False,"Test 7"
    assert candidate(11 * 9 * 9) == False,"Test 8"
    assert candidate(11 * 13 * 7) == True,"Test 9"


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(x, n):
    """Your task is to write a function that returns true if a number x is a simple
    power of n and false in other cases.
    x is a simple power of n if n**int=x. 	assert f6(16, 2)== True,"Test 0"
	assert f6(143214, 16)== False,"Test 1"
	assert f6(4, 2)==True,"Test 2"
	assert f6(9, 3)==True,"Test 3"
	assert f6(16, 4)==True,"Test 4"
	assert f6(24, 2)==False,"Test 5"
	assert f6(128, 4)==False,"Test 6"
	assert f6(12, 6)==False,"Test 7"
	assert f6(1, 1)==True,"Test 8"
	assert f6(1, 12)==True,"Test 9"
	"""
    if (n == 1):
        return (x == 1)
    power = 1
    while (power < x):
        power = power * n
    return (power == x)

# Rust f6 translation

def check(candidate):
    assert candidate(16, 2)== True,"Test 0"
    assert candidate(143214, 16)== False,"Test 1"
    assert candidate(4, 2)==True,"Test 2"
    assert candidate(9, 3)==True,"Test 3"
    assert candidate(16, 4)==True,"Test 4"
    assert candidate(24, 2)==False,"Test 5"
    assert candidate(128, 4)==False,"Test 6"
    assert candidate(12, 6)==False,"Test 7"
    assert candidate(1, 1)==True,"Test 8"
    assert candidate(1, 12)==True,"Test 9"


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):
    '''
    if this ingeger is a cube of some integer number.
    Note: you may assume the input is always valid. 	assert f6(1) == True,"Test 0"
	assert f6(2) == False,"Test 1"
	assert f6(-1) == True,"Test 2"
	assert f6(64) == True,"Test 3"
	assert f6(180) == False,"Test 4"
	assert f6(1000) == True,"Test 5"
	assert f6(0) == True,"Test 6"
	assert f6(1729) == False,"Test 7"
	"""
    a = abs(a)
    return int(round(a ** (1. / 3))) ** 3 == a

# Rust f6 translation

def check(candidate):
    assert candidate(1) == True,"Test 0"
    assert candidate(2) == False,"Test 1"
    assert candidate(-1) == True,"Test 2"
    assert candidate(64) == True,"Test 3"
    assert candidate(180) == False,"Test 4"
    assert candidate(1000) == True,"Test 5"
    assert candidate(0) == True,"Test 6"
    assert candidate(1729) == False,"Test 7"


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(num):
    """You have been tasked to write a function that receives
    a hexadecimal number as a string and counts the number of hexadecimal
    digits that are primes (prime number, or a prime, is a natural number
    greater than 1 that is not a product of two smaller natural numbers).
    Hexadecimal digits are 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, A, B, C, D, E, F.
    Prime numbers are 2, 3, 5, 7, 11, 13, 17,...
    So you have to determine a number of the following digits: 2, 3, 5, 7,
    B (=decimal 11), D (=decimal 13).
    Note: you may assume the input is always correct or empty string,
    and symbols A,B,C,D,E,F are always uppercase. 	assert f6("AB") == 1,"Test 0"
	assert f6("1077E") == 2,"Test 1"
	assert f6("ABED1A33") == 4,"Test 2"
	assert f6("2020") == 2,"Test 3"
	assert f6("123456789ABCDEF0") == 6,"Test 4"
	assert f6("112233445566778899AABBCCDDEEFF00") == 12,"Test 5"
	assert f6([]) == 0,"Test 6"
	"""
    primes = ('2', '3', '5', '7', 'B', 'D')
    total = 0
    for i in range(0, len(num)):
        if num[i] in primes:
            total += 1
    return total

# Rust f6 translation

def check(candidate):
    assert candidate("AB") == 1,"Test 0"
    assert candidate("1077E") == 2,"Test 1"
    assert candidate("ABED1A33") == 4,"Test 2"
    assert candidate("2020") == 2,"Test 3"
    assert candidate("123456789ABCDEF0") == 6,"Test 4"
    assert candidate("112233445566778899AABBCCDDEEFF00") == 12,"Test 5"
    assert candidate([]) == 0,"Test 6"


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(decimal):
    """You will be given a number in decimal form and your task is to convert it to
    binary format. The function should return a string, with each character representing a binary
    number. Each character in the string will be '0' or '1'.

    There will be an extra couple of characters 'db' at the beginning and at the end of the string.
    The extra characters are there to help with the format. 	assert f6(0) == "db0db","Test 0"
	assert f6(32) == "db100000db","Test 1"
	assert f6(103) == "db1100111db","Test 2"
	assert f6(15) == "db1111db","Test 3"
	assert True,"Test 4"
	"""
    return "db" + bin(decimal)[2:] + "db"

# Rust f6 translation

def check(candidate):
    assert candidate(0) == "db0db","Test 0"
    assert candidate(32) == "db100000db","Test 1"
    assert candidate(103) == "db1100111db","Test 2"
    assert candidate(15) == "db1111db","Test 3"
    assert True,"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();
}

def f6(s):
    """You are given a string s.
    Your task is to check if the string is happy or not.
    A string is happy if its length is at least 3 and every 3 consecutive letters are distinct. 	assert f6("a") == False ,"Test 0"
	assert f6("aa") == False ,"Test 1"
	assert f6("abcd") == True ,"Test 2"
	assert f6("aabb") == False ,"Test 3"
	assert f6("adb") == True ,"Test 4"
	assert f6("xyy") == False ,"Test 5"
	assert f6("iopaxpoi") == True ,"Test 6"
	assert f6("iopaxioi") == False ,"Test 7"
	"""
    if len(s) < 3:
      return False

    for i in range(len(s) - 2):

      if s[i] == s[i+1] or s[i+1] == s[i+2] or s[i] == s[i+2]:
        return False
    return True

# Rust f6 translation

def check(candidate):
    assert candidate("a") == False ,"Test 0"
    assert candidate("aa") == False ,"Test 1"
    assert candidate("abcd") == True ,"Test 2"
    assert candidate("aabb") == False ,"Test 3"
    assert candidate("adb") == True ,"Test 4"
    assert candidate("xyy") == False ,"Test 5"
    assert candidate("iopaxpoi") == True ,"Test 6"
    assert candidate("iopaxioi") == False ,"Test 7"


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(grades):
    """It is the last week of the semester and the teacher has to give the grades
    to students. The teacher has been making her own algorithm for grading.
    The only problem is, she has lost the code she used for grading.
    She has given you a list of GPAs for some students and you have to write
    a function that can output a list of letter grades using the following table:
             GPA       |    Letter grade
              4.0                A+
            > 3.7                A
            > 3.3                A-
            > 3.0                B+
            > 2.7                B
            > 2.3                B-
            > 2.0                C+
            > 1.7                C
            > 1.3                C-
            > 1.0                D+
            > 0.7                D
            > 0.0                D-
              0.0                E. 	assert f6([4.0, 3, 1.7, 2, 3.5]) == ['A+', 'B', 'C-', 'C', 'A-'],"Test 0"
	assert f6([1.2]) == ['D+'],"Test 1"
	assert f6([0.5]) == ['D-'],"Test 2"
	assert f6([0.0]) == ['E'],"Test 3"
	assert f6([1, 0.3, 1.5, 2.8, 3.3]) == ['D', 'D-', 'C-', 'B', 'B+'],"Test 4"
	assert f6([0, 0.7]) == ['E', 'D-'],"Test 5"
	assert True,"Test 6"
	"""

    letter_grade = []
    for gpa in grades:
        if gpa == 4.0:
            letter_grade.append("A+")
        elif gpa > 3.7:
            letter_grade.append("A")
        elif gpa > 3.3:
            letter_grade.append("A-")
        elif gpa > 3.0:
            letter_grade.append("B+")
        elif gpa > 2.7:
            letter_grade.append("B")
        elif gpa > 2.3:
            letter_grade.append("B-")
        elif gpa > 2.0:
            letter_grade.append("C+")
        elif gpa > 1.7:
            letter_grade.append("C")
        elif gpa > 1.3:
            letter_grade.append("C-")
        elif gpa > 1.0:
            letter_grade.append("D+")
        elif gpa > 0.7:
            letter_grade.append("D")
        elif gpa > 0.0:
            letter_grade.append("D-")
        else:
            letter_grade.append("E")
    return letter_grade

# 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):
	assert f6('Hello') == True,"Test 0"
	assert f6('abcdcba') == True,"Test 1"
	assert f6('kittens') == True,"Test 2"
	assert f6('orange') == False,"Test 3"
	assert f6('wow') == True,"Test 4"
	assert f6('world') == True,"Test 5"
	assert f6('MadaM') == True,"Test 6"
	assert f6('Wow') == True,"Test 7"
	assert f6('') == False,"Test 8"
	assert f6('HI') == True,"Test 9"
	assert f6('go') == True,"Test 10"
	assert f6('gogo') == False,"Test 11"
	assert f6('aaaaaaaaaaaaaaa') == False,"Test 12"
	assert f6('Madam') == True,"Test 13"
	assert f6('M') == False,"Test 14"
	assert f6('0') == False,"Test 15"
	"""
    l = len(string)
    if l == 0 or l == 1:
        return False
    for i in range(2, l):
        if l % i == 0:
            return False
    return True

# Rust f6 translation

def check(candidate):
    assert candidate('Hello') == True,"Test 0"
    assert candidate('abcdcba') == True,"Test 1"
    assert candidate('kittens') == True,"Test 2"
    assert candidate('orange') == False,"Test 3"
    assert candidate('wow') == True,"Test 4"
    assert candidate('world') == True,"Test 5"
    assert candidate('MadaM') == True,"Test 6"
    assert candidate('Wow') == True,"Test 7"
    assert candidate('') == False,"Test 8"
    assert candidate('HI') == True,"Test 9"
    assert candidate('go') == True,"Test 10"
    assert candidate('gogo') == False,"Test 11"
    assert candidate('aaaaaaaaaaaaaaa') == False,"Test 12"
    assert candidate('Madam') == True,"Test 13"
    assert candidate('M') == False,"Test 14"
    assert candidate('0') == False,"Test 15"


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):
    """
    Given a positive integer n, return the count of the numbers of n-digit
    positive integers that start or end with 1.
    	assert True,"Test 0"
	assert f6(1) == 1,"Test 1"
	assert f6(2) == 18,"Test 2"
	assert f6(3) == 180,"Test 3"
	assert f6(4) == 1800,"Test 4"
	assert f6(5) == 18000,"Test 5"
	assert True,"Test 6"
	"""
    if n == 1: return 1
    return 18 * (10 ** (n - 2))

# Rust f6 translation

def check(candidate):
    assert True,"Test 0"
    assert candidate(1) == 1,"Test 1"
    assert candidate(2) == 18,"Test 2"
    assert candidate(3) == 180,"Test 3"
    assert candidate(4) == 1800,"Test 4"
    assert candidate(5) == 18000,"Test 5"
    assert True,"Test 6"


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):
    """Given a positive integer N, return the total sum of its digits in binary. 	assert True,"Test 0"
	assert f6(1000) == "1","Test 1"
	assert f6(150) == "110","Test 2"
	assert f6(147) == "1100","Test 3"
	assert True,"Test 4"
	assert f6(333) == "1001","Test 5"
	assert f6(963) == "10010","Test 6"
	"""
    return bin(sum(int(i) for i in str(N)))[2:]

# Rust f6 translation

def check(candidate):
    assert True,"Test 0"
    assert candidate(1000) == "1","Test 1"
    assert candidate(150) == "110","Test 2"
    assert candidate(147) == "1100","Test 3"
    assert True,"Test 4"
    assert candidate(333) == "1001","Test 5"
    assert candidate(963) == "10010","Test 6"


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(lst):
    """Given a non-empty list of integers lst. f6 the even elements that are at odd indices. 	assert f6([4, 88]) == 88,"Test 0"
	assert f6([4, 5, 6, 7, 2, 122]) == 122,"Test 1"
	assert f6([4, 0, 6, 7]) == 0,"Test 2"
	assert f6([4, 4, 6, 8]) == 12,"Test 3"
	"""
    return sum([lst[i] for i in range(1, len(lst), 2) if lst[i]%2 == 0])

# Rust f6 translation

def check(candidate):
    assert candidate([4, 88]) == 88,"Test 0"
    assert candidate([4, 5, 6, 7, 2, 122]) == 122,"Test 1"
    assert candidate([4, 0, 6, 7]) == 0,"Test 2"
    assert candidate([4, 4, 6, 8]) == 12,"Test 3"