Introductory Problems / Gray Code

#include <bits/stdc++.h>
using namespace std;

using i8 = int8_t;
using i16 = int16_t;
using i32 = int32_t;
using i64 = int64_t;
using isize = ptrdiff_t;
using u8 = uint8_t;
using u16 = uint16_t;
using u32 = uint32_t;
using u64 = uint64_t;
using usize = size_t;
using f32 = float_t;
using f64 = double_t;

inline constexpr i32 Modulus = 1e9 + 7;

int main(void)
{
    ios_base::sync_with_stdio(false);
    cin.tie(nullptr);
    cout.tie(nullptr);

    u16 n;
    cin >> n;

    u32 limit = 1 << n;
    for (u32 num = 0; num < limit; num += 1)
    {
        u16 code = num ^ (num >> 1);
        for (u16 mask = 1 << (n - 1); mask > 0; mask >>= 1)
        {
            cout << ((code & mask) == mask);
        }

        cout << '\n';
    }

    return 0;
}