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- #include <iostream>
- #include <vector>
- #include <cmath>
- #include <algorithm>
- using namespace std;
- typedef long long ll;
- int power(int v, int u) {
- if (u == 0 ) {
- return 1;
- }
- if (u % 2 == 0){
- return power(v, u / 2) * power(v, u / 2);
- }
- else {
- return v * power(v, u - 1);
- }
- }
- int main()
- {
- ios_base::sync_with_stdio(false);
- cin.tie(0);
- cout.tie(0);
- int n, k;
- cin >> n >> k;
- vector<int> dp(n + 1);
- if (k == 1) {
- cout << 1 << "\n";
- return 0;
- }
- for (int i = 0; i < k; ++i) {
- dp[i] = power(2, i);
- }
- for (int i = 0; i < k; ++i) {
- dp[k] += dp[i];
- }
- for (int i = k + 1; i <= n; ++i) {
- dp[i] = dp[i - 1] + dp[i - 1] - dp[i - k - 1];
- }
- cout << dp[n] << "\n";
- }
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