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Cod sursa(job #466031)
#include <fstream>
using namespace std;
const int MAX_P = 20;
const int MAX_N = (1 << 18);
ifstream fin ("ratphu.in");
ofstream fout ("ratphu.out");
long long N, R[MAX_N][MAX_P];
int P, Ncf;
char cif[MAX_P];
long long pow10[MAX_P];
char viz[MAX_N][MAX_P];
void trans(long long N) {
for(; N; N /= 10) {
cif[Ncf++] = N % 10;
}
}
long long calc(int conf, int rest, int nr) {
if(viz[conf][rest]) return R[conf][rest];
viz[conf][rest] = 1;
for(int i = 0; i < Ncf; ++i) {
if(conf & (1 << i)) {
int actr = (pow10[nr-1] * cif[i]) % P;
int newr = (rest - actr + P) % P;
R[conf][rest] += calc(conf ^ (1 << i), newr, nr-1);
}
}
return R[conf][rest];
}
int main() {
fin >> N >> P;
trans(N);
R[0][0] = 1;
for(int i = 0; i < P; ++i)
viz[0][i] = 1;
pow10[0] = 1;
for(int i = 1; i <= 18; ++i)
pow10[i] = pow10[i-1] * 10;
fout << calc((1 << Ncf)-1, 0, Ncf);
/* for(int conf = 1; conf < (1 << Ncf); ++conf) {
int nr = 0;
for(int i = 0; i < Ncf; ++i) {
if(conf & (1 << i)) {
++nr;
}
}
for(int i = 0; i < Ncf; ++i) {
for(int r = 0; r < P; ++r) {
if(R[conf ^ (1 << i)][r] == 0) continue;
if(conf & (1 << i)) {
int actr = (pow10[nr-1]*cif[i]) % P;
int newr = (actr + r) % P;
R[conf][newr] += R[conf ^ (1 << i)][r];
}
}
}
}
fout << R[(1 << Ncf)-1][0]; */
}