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- #include <bits/stdc++.h>
- using namespace std;
- using ll = long long;
- using ld = long double;
- using ull = unsigned long long;
- #define all(x) x.begin(), x.end()
- template <typename T1, typename T2> inline void chkmin(T1 &x, const T2 & y) {if (x > y) x = y;}
- template <typename T1, typename T2> inline void chkmax(T1 &x, const T2 & y) {if (x < y) x = y;}
- const int MOD = 1000000009;
- int add(int a, int b) {
- a += b;
- if (a >= MOD)
- a -= MOD;
- return a;
- }
- const int MAXN = 110;
- int dp[MAXN][MAXN][MAXN];
- int n, m, len;
- void read() {
- cin >> n >> m >> len;
- if (len == 1) {
- cout << 1 << endl;
- exit(0);
- }
- }
- void run() {
- for (int i = 0; i < MAXN; i++) {
- for (int j = 0; j < MAXN; j++) {
- for (int k = 0; k < MAXN; k++) {
- dp[i][j][k] = 0;
- }
- }
- }
- dp[0][0][0] = 1;
- for (int i = 0; i < m; i++) {
- for (int pos_next = 1; pos_next + len - 1 <= n; pos_next++) {
- dp[i + 1][pos_next][1] = add(dp[i + 1][pos_next][1], dp[i][0][0]);
- }
- if (i + len <= m) {
- dp[i + len][0][0] = add(dp[i + len][0][0], dp[i][0][0]);
- }
- for (int j = 1; j + len - 1 <= n; j++) {
- for (int k = 1; k <= min(i, len - 1); k++) {
- if (dp[i][j][k] == 0) continue;
- int x = dp[i][j][k];
- if (k + 1 < len)
- dp[i + 1][j][k + 1] = add(dp[i + 1][j][k + 1], x);
- else {
- dp[i + 1][0][0] = add(dp[i + 1][0][0], x);
- }
- if (i + len <= m)
- dp[i + len][j][k] = add(dp[i + len][j][k], x);
- }
- }
- }
- }
- void write() {
- cout << dp[m][0][0] << endl;
- }
- signed main() {
- ios_base::sync_with_stdio(0);
- cin.tie(0);
- cout.tie(0);
- read();
- run();
- write();
- return 0;
- }
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