4051. Grasshopper

#include <bits/stdc++.h>

using namespace std;

#define int long long
#define mp make_pair
#define pb push_back

const int N = 100;

int dp[N];

signed main()
{
    ios::sync_with_stdio(0); cin.tie(nullptr); cout.tie(nullptr);
    //freopen("input.txt","r",stdin);
    //freopen("output.txt","w",stdout);

    int n,k;
    cin >> n >> k;

    dp[k+1] = 1;

    for(int i=k+1;i<=n+k;i++)
    {
        for(int j=i-1;j>=i-k;j--)
        {
            dp[i] += dp[j];
        }
    }

    cout << dp[n+k];

    return 0;
}