К-ичные числа

#define _USE_MATH_DEFINES
#include <iostream>
#include <string>
#include <map>
#include <set>
#include <algorithm>
#include <vector>
#include <stdio.h>
#include <cmath>
#include <math.h>
#include <queue>
#include <stack>
#include <climits>
#include <deque>
#include <ctime>
#include <iterator>

using namespace std;
const int INF = (int)(2e9);

typedef long long ll;
typedef unsigned long long ull;
typedef unsigned int ui;

#define mh() make_heap()
#define poph() pop_heap()
#define pushh() push_heap()
#define sor(n) n.begin(), n.end()
#define mp make_pair


#define files freopen("secretroom.in", "rt", stdin); freopen("secretroom.out", "wt", stdout)

int main()
{
    ull n, k;
    cin >> n >> k;
    vector<ull> dpz(n+1, 0);
    vector<ull> dpzn(n+1, 0);

    dpz[2] = k - 1;
    dpzn[2] = (k - 1)*k - k + 1;
    for (int i = 3; i <= n; i++)
    {
        dpz[i] = dpzn[i - 1];
        dpzn[i] = (dpz[i - 1] + dpzn[i - 1])*(k - 1);
    }
    cout << dpz[n] + dpzn[n];

    system("pause");
    return 0;
}