FizzBuzz with C++ template metaprogramming

fizzbuzz.cc

/*
g++ -std=c++14 -ftemplate-depth=2001 fizz.cc -o fizz 2>&1 >/dev/null | grep -oE '[0-9]+, (Fizz|Buzz|FizzBuzz|None)'
*/
#include <iostream>

struct Fizz;
struct Buzz;
struct FizzBuzz;
struct None;

// Overflows if test passes: spits out the number
// n, and one of Fizz, Buzz, FizzBuzz, or None
// on the same line.
template <bool test, int n, typename T>
struct print {
  static constexpr char value = test + 255;
};

template <int i, int n=1> struct fizzbuzz {
  static constexpr int test =
     n % 15 == 0 ? 15 :
     n %  3 == 0 ? 3 :
     n %  5 == 0 ? 5 : 0;
  static constexpr auto value =
    fizzbuzz<(i - 1), (n + 1)>::value +
    print<test == 0, n, None>::value +
    print<test == 3, n, Fizz>::value +
    print<test == 5, n, Buzz>::value +
    print<test == 15, n, FizzBuzz>::value;
};

template <int n>
struct fizzbuzz<0, n> { static constexpr auto value = 0; };

static const auto result = fizzbuzz<1000>::value;