Dynamic Programming / Dice Combinations

#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);

    usize n;
    cin >> n;

    vector<u64> dp(n + 1);
    dp[0] = 1;

    for (usize sum = 1; sum <= n; sum += 1)
    {
        for (u64 dice = 1; dice <= 6 && dice <= sum; dice += 1)
        {
            dp[sum] += dp[sum - dice];
        }

        dp[sum] %= Modulus;
    }

    cout << dp[n];

    return 0;
}