Pagini recente » Cod sursa (job #2394336) | Cod sursa (job #160450) | Cod sursa (job #1344608) | Cod sursa (job #1297820) | Cod sursa (job #2432625)
#include <bits/stdc++.h>
#define DEBUG(x) cerr << (#x) << ": " << (x) << '\n'
using namespace std;
const int MOD = 9901;
struct Matrix {
int n, m;
vector<vector<int>> a;
Matrix(int n, int m) : n(n), m(m), a(n, vector<int>(m)) {}
vector<int>& operator[](const int pos) {
return a[pos];
}
Matrix operator*(Matrix b) const {
Matrix res(n, b.m);
assert(m == b.n);
for (int i = 0; i < n; ++i) {
for (int k = 0; k < m; ++k) {
for (int j = 0; j < b.m; ++j) {
res[i][j] += a[i][k] * b[k][j];
}
}
}
for (int i = 0; i < n; ++i) for (int j = 0; j < b.m; ++j) if (res[i][j] >= MOD) res[i][j] %= MOD;
return res;
}
Matrix toPow(int e) {
Matrix res = *this, b = *this;
--e;
while (e) {
if (e & 1)
res = res * b;
b = b * b;
e >>= 1;
}
return res;
}
};
int main() {
//ifstream cin("pod.in");
//ofstream cout("pod.out");
ios::sync_with_stdio(0);
cin.tie(0);
int n, m, k; cin >> n >> m >> k;
vector<int> v(m);
for (int i = 0; i < m; ++i) {
cin >> v[i];
}
sort(v.begin(), v.end()); // ffs
Matrix tr(k, k);
for (int i = k - 1; i >= 1; --i) {
tr[i][i - 1] = 1;
}
tr[0][k - 1] = tr[k - 1][k - 1] = 1;
Matrix dp(1, k);
dp[0][k - 1] = 1;
int last = 0;
for (int i = 0; i < m; ++i) {
int e = v[i] - last;
dp = move(dp * tr.toPow(e));
dp[0][k - 1] = 0; // dp[v[i]] = 0
last = v[i];
}
dp = move(dp * tr.toPow(n - last));
cout << dp[0][k - 1] << endl;
#ifdef LOCAL_DEFINE
cerr << "Time elapsed: " << 1.0 * clock() / CLOCKS_PER_SEC << " s.\n";
#endif
return 0;
}