// This algorithm factors a as a product of powers of elements of P if possible; otherwise it
// proclaims failure.
//
// Algorithm 20.1 [PDF page 25](http://cr.yp.to/lineartime/dcba-20040404.pdf)
//
// See [findfactor test](test-findfactor.html) for basic usage.
int find_factor(mpz_array *out, const mpz_t a0, const mpz_t a, mpz_t *p, size_t from, size_t to) {
mpz_t m, c, y, b, c2;
size_t n = to - from;
unsigned int r = 1;
// If #P = 1: Find p ∈ P. Compute (n, c) ← reduce(p,a) by Algorithm 19.2. If
// c != 1, proclaim failure and stop. Otherwise print (p,n) and stop
if (n == 0) {
mpz_init(m);
mpz_init(c);
reduce(m, c, p[from], a);
if (mpz_cmp_ui(c, 1) != 0) {
r = 0;
} else {
if (mpz_cmp(a0, p[from]) != 0) {
mpz_init(y);
mpz_fdiv_q(y, a0, p[from]);
array_add(out, a0);
array_add(out, p[from]);
array_add(out, y);
mpz_clear(y);
r = 0;
}
}
mpz_clear(m);
mpz_clear(c);
return r;
}
// Select Q ⊆ P with #Q = b#P/2c.
// Compute y ← prod Q
mpz_init(y);
prod(y, p, from, to - n/2 - 1);
// Compute (b, c) ← (ppi,ppo)(a, y)
mpz_init(b);
mpz_init(c2);
ppi_ppo(b, c2, a, y);
// Apply Algorithm 20.1 to (b,Q) recursively. If Algorithm 20.1 fails, proclaim
// failure and stop.
if (!find_factor(out, a0, b, p, from, to - n/2 - 1)) {
r = 0;
// Apply Algorithm 20.1 to (c,P−Q) recursively. If Algorithm 20.1 fails, proclaim
// failure and stop.
} else if (!find_factor(out, a0, c2, p, to - n/2, to)) {
r = 0;
}
// Free the memory.
mpz_clear(y);
mpz_clear(b);
mpz_clear(c2);
return r;
}
gammatone::core::base<Scalar, GainPolicy>::
base(const Scalar& sample_frequency,
const Scalar& center_frequency,
const Scalar& bandwidth)
: m_tau( 2.0*M_PI / sample_frequency ),
m_factor( find_factor(sample_frequency, center_frequency, bandwidth) )
{}
int get_prime_factors(uint64_t n, uint64_t* factors){
int k=0;
if(n==1) factors[k++]=1;
int racine = sqrt(n);
while(n!=1)
{
decomp dec = find_factor(n);
if(dec.size!=0)
{
int i;
for(i=0;i<dec.size;i++)
{
factors[k++]=dec.factors[i];
}
}else{
uint64_t i=2;
while(n%i!=0 && i<=racine)
{
i++;
}
if(i>racine)
{
factors[k++]=n;
n=1;
}
else
{
n/=i;
factors[k++]=i;
}
}
}
return k;
}
main()
{
long long i,j,k,l,m,n,temp;
long long shit[900],f;
double x;
find_primer();
while (scanf("%lld%lld",&n,&m)!=EOF)
{
memset(f**k,0,sizeof(f**k));
memset(shit,0,sizeof(shit));
k=find_factor(m);
for (i=n;i>1;i--)
for (j=0;j<k;j++)
{
temp=i;
while (temp%factor[j]==0)
{
temp/=factor[j];
shit[factor[j]]++;
}
}
int min=shit[factor[0]]/f**k[factor[0]];
for (i=0;i<k;i++)
{
l=shit[factor[i]]/f**k[factor[i]];
if (l<min) min=l;
}
x=0;
for (i=2;i<=n;i++)
x+=log((double)i);
f=(long long)(x/log((double)m)+1e-4)+1;
printf("%d %lld\n",min,f);
}
return 0;
}
// #### array verison
int array_find_factor(mpz_array *out, const mpz_t a, mpz_array *p) {
if (p->used > 0)
return find_factor(out, a, a, p->array, 0, p->used-1);
else {
fprintf(stderr, "array_printfactors on empty array\n");
return 0;
}
}
int main()
{
scanf("%I64d%I64d",&n,&m);
find_factor(m);
ans=pow(m,n);
temp=1;
for(i=1;i<=top;i++)
{
sum=0;
find(1,0,i);
temp*=-1;
ans+=temp*sum;
}
printf("%I64d\n",ans);
return 0;
}
float find_SS(Letter *customer, Letter *product) {
if (customer->letter == 0 || product->letter == 0)
return 0;
else {
float SS;
if (product->letter % 2 == 0)
SS = customer->vowel * 1.5;
else
SS = customer->consonant;
if (find_factor(customer->letter, product->letter) != 1)
SS = SS * 1.5;
return SS;
}
}
static bool split_dims(unsigned int D, unsigned int N, long dims[N + 1], long (*ostrs[D])[N + 1], float blocking[N])
{
if (0 == N)
return false;
long f;
if ((dims[N - 1] > 1024) && (1 < (f = find_factor(dims[N - 1], blocking[N - 1])))) {
// if ((dims[N - 1] > 64) && (1 < (f = find_factor(dims[N - 1], blocking[N - 1])))) {
#if 1
//printf("Split with %ld=%ldx%ld\n", dims[N - 1], f, dims[N - 1] / f);
dims[N] = dims[N - 1] / f;
dims[N - 1] = f;
for (unsigned int j = 0; j < D; j++)
(*ostrs[j])[N] = (*ostrs[j])[N - 1] * f;
blocking[N] = 1.;
#else
dims[N] = 1;
for (unsigned int j = 0; j < D; j++)
(*ostrs[j])[N] = 0;
#endif
return true;
}
// could not split, make room and try lower dimensions
dims[N] = dims[N - 1];
blocking[N] = blocking[N - 1];
for (unsigned int j = 0; j < D; j++)
(*ostrs[j])[N] = (*ostrs[j])[N - 1];
if (split_dims(D, N - 1, dims, ostrs, blocking))
return true;
dims[N - 1] = dims[N];
for (unsigned int j = 0; j < D; j++)
(*ostrs[j])[N - 1] = (*ostrs[j])[N];
blocking[N - 1] = blocking[N];
return false;
}
SEXP data_frame_from_apop_data(apop_data *in){
if (!in) return R_NilValue;
int numeric_rows = !!(in->vector)
+ (in->matrix ? in->matrix->size2 : 0)
+ !!(in->weights);
int text_rows = in->textsize[1];
SEXP out, onerow;
PROTECT(out = allocVector(VECSXP, numeric_rows + text_rows));
int col_ct = 0;
int firstcol = in->vector ? -1 : 0;
int lastcol = in->matrix ? in->matrix->size2 : 0;
for (int i= firstcol; i < lastcol; i++){
int len = (i == -1) ? in->vector->size : in->matrix->size1;
apop_data *factorpage = find_factor(onerow, in, i);
if (factorpage){
SET_VECTOR_ELT(out, col_ct++, (onerow = allocVector(INTSXP, len)));
for (int j=0; j< len; j++) INTEGER(onerow)[j] = apop_data_get(in, j, i);
set_factor(onerow, factorpage);
} else {
SET_VECTOR_ELT(out, col_ct++, (onerow = allocVector(REALSXP, len)));
for (int j=0; j< len; j++) REAL(onerow)[j] = apop_data_get(in, j, i);
}
}
for (int i= 0; i < text_rows; i++){
int len = in->textsize[0];
SEXP onerow;
SET_VECTOR_ELT(out, col_ct++, (onerow = allocVector(STRSXP, len)));
for (int j=0; j< len; j++)
SET_STRING_ELT(onerow, j, mkChar(in->text[j][i])); //Do I need strdup?
}
if (in->weights){
int len = in->weights->size;
SET_VECTOR_ELT(out, col_ct++, (onerow = allocVector(REALSXP, len)));
for (int j=0; j< len; j++)
REAL(onerow)[j] = gsl_vector_get(in->weights, j);
}
handle_names(in, out);
UNPROTECT(1);
return out;
}