This works from 1 to 100000000000000000000 before it overflows, and 100000000000000000000 is above the max size of a unsigned 64 bit int, so I feel that it's good enough

    fizzbuzz = [
        "fizzbuzz            ",
        "", "",
        "fizz                ",
        "",
        "buzz                ",
        "fizz                ",
        "", "",
        "fizz                ",
        "buzz                ",
        "",
        "fizz                ",
        "", "" ]
    for n in range(99999999999999999999-30, 100000000000000000000):
        print(f"{n}\r{fizzbuzz[n%15]}")

  const Fizzbuzz = "1 2. Fizz, 4 ... "
  Print Fizzbuzz

  import (
   "fmt"
   "math/rand"
  )

  var fb [4]string = [4]string{"", "fizz", "buzz", "fizzbuzz"}
  var lucky int64 = 176064004

  func main() {
   for i := 1; i <= 100; i++ {
    if i%15 == 1 {
     rand.Seed(lucky)
    }
    fmt.Printf("%d: %s\n", i, fb[rand.Int63()%4])
   }
  }

Now I see it's the same solution as in the post.

Edit: Actually all you need is vim -es +'exec "norm! i\r\rFizz\r\rBuzz\rFizz\r\r\rFizz\rBuzz\r\rFizz\r\r\rFizzBuzz\<esc>Vggy7P101GdG"|%s/^$/\=line(".")/|%p|q!'

Saying the code doesn’t have conditions or booleans is only true if you completely ignore how the functions being called are being implemented.

Cycle involves conditionals, zip involves conditionals, range involves conditionals, array access involves conditionals, the string concatenation involves conditionals, the iterator expansion in the for loop involves conditionals.

This has orders of magnitude more conditionals than normal fizz buzz would.

Even the function calls involve conditionals (python uses dynamic dispatch). Even if call site caching is used to avoid repeated name lookups, that involves conditionals.

There is not a line of code in that file (even the import statement) that does not use at least one conditional.

So… interesting implementation, but it’s not “fizzbuzz without booleans or conditionals”.

baring that I too got nerd sniped by this and unsatisfied by the limitations of the authors solution here is my attempt. and when I read up on fizzbuz to make sure I was solving the correct thing. (I was not and my elegant duel state engine was wasted) it turns out the problem solution could be as simple as

    f_out = ['', '', 'fizz']
    b_out = ['', '', '', '', 'buzz']
    
    def fizz_buz(n):
        return(f_out[n % 3] +  b_out[n % 5])

    f_state = {
        0:1,
        1:2,
        2:0,
        }

    b_state = {
        0:1,
        1:2,
        2:3,
        3:4,
        4:0,
        }

   def fizz_buzz_all():
        f_index = 0
        b_index = 0
        while 1: #how to loop with no end check?
            print(f_out([f_index] + b_out[b_index] )
            f_index = f_state[f_index]
            b_index = b_state[b_index]

    def fizz_buzz_recurse(n):
        print(fizz_buzz(n))
        fizz_buzz_recurse(n + 1)

I mean, if we want to play fast and loose with those definitions then this also has no conditionals and no booleans.(Warning: Perl, somewhat golfed)

  $s = '', $i % 3 || ($s .= 'fizz'), $i % 5 || ($s .= 'buzz'), $s ||= $i, print "$s\n" while (++$i < 101)

Without any other constraints, this is not an interesting challenge.

    print("<precalculated output goes here>")

Unless by conditionals we mean “no if/else” and not “no branch instructions”.

  Integer extend [
    fizzbuzz [ 
        (self \\ 15 = 0)
        ifTrue: ['fizzbuzz' printNl]
        ifFalse: [
             (self \\ 3 = 0)
             ifTrue: ['fizz' printNl]
             ifFalse: [
                  (self \\ 5 = 0)
                  ifTrue: ['buzz' printNl]
                  ifFalse: [self printNl]
             ]
        ]
    ]
  ]

  1 to: 100 by: 1 do: [:i | i fizzbuzz]

  print(filter(None, [f + b, str(n)])[0])

    # Multi-pass FizzBuzz
    n = 100 
    # [['1'], ['2'], ['3'], ['4'], ['5'], ...]
    seq = [[str(i)] for i in range(1, n + 1)] 
    # [['1'], ['2'], ['3', 'Fizz'], ['4'], ['5'], ...]
    for i in range(3, n +  1, 3): 
        seq[i-1].append('Fizz')
    # [['1'], ['2'], ['3', 'Fizz'], ['4'], ['5', 'Buzz'], ..., ['15', ''Fizz', 'Buzz'], ...]
    for i in range(5, n + 1, 5): 
        seq[i-1].append('Buzz')
    # Arithmetic equivalent to:
    # len=1 -> the whole thing (from zero to end, because zero = -zero)
    # len=2 -> the length-1 suffix (just Fizz or Buzz)
    # len=3 -> the length-2 suffix (Fizz and Buzz)
    # The branch is hidden in the slice syntax:
    # Python has to check whether `x` is negative in `terms[x:]`. 
    for terms in seq:
        print(''.join(terms[-(len(terms) - 1):]))

    # Single-pass FizzBuzz
    n = 100

    def numbers():
        for i in range(1, n+1):
            yield [str(i)]

    def fizzies():
        nums = numbers()
        try:
            while True:
                yield next(nums)
                yield next(nums)
                yield [*next(nums), 'Fizz']
        except StopIteration:
            pass

    def buzzies():
        fzs = fizzies()
        try:
            while True:
                yield next(fzs)
                yield next(fzs)
                yield next(fzs)
                yield next(fzs)
                yield [*next(fzs), 'Buzz']
        except StopIteration:
            pass

    for terms in buzzies():
        print(''.join(terms[-(len(terms) - 1):]))

    def numbers(i=1):
        yield [str(i)]
        yield from numbers(i+1)
    
    def fizzies(source=numbers()):
        yield next(source)
        yield next(source)
        yield [*next(source), 'Fizz']
        yield from fizzies(source)
    
    def buzzies(source=fizzies()):
        yield next(source)
        yield next(source)
        yield next(source)
        yield next(source)
        yield [*next(source), 'Buzz']
        yield from buzzies(source)
    
    def main(source=buzzies()):
        terms = next(source)
        print(''.join(terms[1-len(terms):]))
        main(source)
    
    main()

[1] https://gist.github.com/Andriamanitra/5c20f367dc4570dd5c8068...

Do indexes count? If not, there's a simple one liner

    def fizzbuzz(n):
        return [str(n), "fizz", "buzz", "fizzbuzz"][1-min(1, n%3) + (1-min(1,n%5))*2]

  #include <stdio.h>
  #include <stdint.h>
  #include <stdlib.h>

  void fizzbuzz(int i) {
      uint32_t r3 = i % 3;
      uint32_t r5 = i % 5;
      uint32_t is_nonzero_3 = (r3 | -r3) >> 31;
      uint32_t is_nonzero_5 = (r5 | -r5) >> 31;
      uint32_t is_zero_3 = is_nonzero_3 ^ 1;
      uint32_t is_zero_5 = is_nonzero_5 ^ 1;
      uint32_t idx = (is_zero_5 << 1) | is_zero_3;

      const char *fmt[] = {
          "%d\n",
          "Fizz\n",
          "Buzz\n",
          "FizzBuzz\n"
      };

      printf(fmt[idx], i);
  }

  typedef void (*func_t)(int);

  void run_loop(int i);
  void stop_loop(int i) { exit(0); }

  func_t actions[] = { stop_loop, run_loop };

  void run_loop(int i) {
      fizzbuzz(i);
      int d = 99 - i;
      uint32_t is_neg = ((uint32_t)d) >> 31;
  }

  func_t actions_table[] = { run_loop, stop_loop };

  void run_loop_wrapper(int i) {
      fizzbuzz(i);
      int d = 99 - i;
      uint32_t is_neg = ((uint32_t)d) >> 31;
      actions_table[is_neg](i + 1);
  }

  int main() {
      actions_table[0] = run_loop_wrapper;
      run_loop_wrapper(1);
      return 0;
  }

  fizzbuzz = [None, None, "Fizz", None, "Buzz", "Fizz", None, None, "Fizz", "Buzz", None, "Fizz", None, None, "FizzBuzz"]

  for i in range(1,100):
    print(fizzbuzz[i % 15] or i)

  from math import cos, pi
  for n in range(1, 101):
      print([n, 'Fizz', 'Buzz', 'FizzBuzz'][round((1 + 2 * cos(2 * pi * n / 3)) / 3 + 2 * (1 + 2 * cos(2 * pi * n / 5) + 2 * cos(4 * pi * n / 5)) / 5)])

    def main():
      fizz_array = ["Fizz", "", ""]
      buzz_array = ["Buzz", "", "", "", ""]

      for n in range(1, 101):
        # Use modulo to index into arrays
        f = fizz_array[n % 3]
        b = buzz_array[n % 5]

        # Combine fizz and buzz
        result = f + b
    
        output = result + str(n)[len(result):]
    
        print(output)
    
    main()

    output = result + str(n)[len(result):]

   from itertools import cycle
   
   fizz = cycle(["","","fizz"])
   buzz = cycle(["","","","","buzz"])
   for z in zip(fizz,buzz):
      print(f"{z[0]}{z[1]}")