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Cod sursa(job #757789)
#include <cstring>
#include <fstream>
#include <algorithm>
using namespace std;
const int MOD = 9901;
int N, M, K;
int Val[1002];
int now[20][20], todo[20][20];
int M1[20][20], M2[20][20], M3[20][20];
long long auxres[20][20];
void inm(int A[][20], int B[][20])
{
for (int i = 0; i < K; ++i)
for (int j = 0; j < K; ++j)
{
auxres[i][j] = 0;
for (int k = 0; k < K; ++k)
auxres[i][j] += 1LL * A[i][k] * B[k][j];
}
for (int i = 0; i < K; ++i)
for (int j = 0; j < K; ++j)
{
if (auxres[i][j] >= MOD) auxres[i][j] %= MOD;
A[i][j] = auxres[i][j];
}
}
void power(int (*A)[20], int B)
{
memcpy(M1, A, sizeof(M1));
memset(M2, 0, sizeof(M2));
for (int i = 0; i < K; ++i)
M2[i][i] = 1;
for (int i = 0; (1 << i) <= B; ++i)
{
if ((1 << i) & B)
inm(M2, M1);
inm(M1, M1);
}
}
int main()
{
ifstream fin("pod.in");
ofstream fout("pod.out");
fin >> N >> M >> K;
for (int i = 1; i <= M; ++i)
fin >> Val[i];
sort(Val + 1, Val + M + 1);
if (Val[M] == N)
{
fout << 0 << '\n';
fin.close();
fout.close();
return 0;
}
++M, Val[M] = N;
now[0][K - 1] = 1;
for (int i = 1; i <= K - 1; ++i)
todo[i][i - 1] = 1;
todo[K - 1][K - 1] = 1;
todo[0][K - 1] = 1;
for (int i = 1; i <= M; ++i)
{
power(todo, Val[i] - Val[i - 1]);
inm(now, M2);
if (i != M) now[0][K - 1] = 0;
}
fout << now[0][K - 1] << '\n';
fin.close();
fout.close();
}