int main() {
int t,n,prev,next;
scanf("%d",&t);
while(t--) {
scanf("%d",&n);
if(isprime(n+1)) printf("%d/%d\n",n-1,2*n+2);
else {
prev=findprime(n,-1);
next=findprime(n+1,1);
printf("%I64d/%I64d\n",(ll)(prev-2)*next+2*(n-prev+1),(ll)2*prev*next);
}
}
return 0;
}
int Hash::rehash(int x){
std::cout<<"rehashing"<<std::endl;
num = 0;
int old = prime;
prime = findprime(old);
Container** temp = new Container*[prime];
//make temp with blank cntainers
for(int i = 0; i< prime; i++){
temp[i] = new Container(false, -1);
}
//rehash table into temp
for(int i = 0; i<old; i++){
if(table[i]->getValue() != -1){
int j = 0;
int ind = ((x+ j) % old) ;
while(temp[ind]->getValue() != -1){
j++;
ind = ((x+j) % old);
}
temp[ind] = table[i];
num++;
}
}
table = temp;
}
void cache_start (u64 numbufs)
{
Buf_s *b;
u8 *data;
u64 i;
b = ezalloc(sizeof(*b) * numbufs);
data = ezalloc(numbufs * BLOCK_SIZE);
Cache.buf = b;
Cache.stat.numbufs = numbufs;
for (i = 0; i < numbufs; i++) {
b[i].d = &data[i * BLOCK_SIZE];
}
Cache.hash.numbuckets = findprime(numbufs);
Cache.hash.bucket = ezalloc(sizeof(Buf_s *) * Cache.hash.numbuckets);
}
heim_dict_t
heim_dict_create(size_t size)
{
heim_dict_t dict;
dict = _heim_alloc_object(&dict_object, sizeof(*dict));
dict->size = findprime(size);
if (dict->size == 0) {
heim_release(dict);
return NULL;
}
dict->tab = calloc(dict->size, sizeof(dict->tab[0]));
if (dict->tab == NULL) {
dict->size = 0;
heim_release(dict);
return NULL;
}
return dict;
}
/*
* Return amount of space required for the string table.
*/
size_t
st_getstrtab_sz(Str_tbl *stp)
{
assert(stp->st_fullstrsize > 0);
if ((stp->st_flags & FLG_STTAB_COMPRESS) == 0) {
stp->st_flags |= FLG_STTAB_COOKED;
return (stp->st_fullstrsize);
}
if ((stp->st_flags & FLG_STTAB_COOKED) == 0) {
LenNode *lnp;
void *cookie;
stp->st_flags |= FLG_STTAB_COOKED;
/*
* allocate a hash table about the size of # of
* strings input.
*/
stp->st_hbckcnt = findprime(stp->st_strcnt);
if ((stp->st_hashbcks =
calloc(sizeof (Str_hash), stp->st_hbckcnt)) == NULL)
return (0);
/*
* We now walk all of the strings in the list, from shortest to
* longest, and insert them into the hashtable.
*/
if ((lnp = avl_first(stp->st_lentree)) == NULL) {
/*
* Is it possible we have an empty string table, if so,
* the table still contains '\0', so return the size.
*/
if (avl_numnodes(stp->st_lentree) == 0) {
assert(stp->st_strsize == 1);
return (stp->st_strsize);
}
return (0);
}
while (lnp) {
StrNode *snp;
/*
* Walk the string lists and insert them into the hash
* list. Once a string is inserted we no longer need
* it's entry, so the string can be freed.
*/
for (snp = avl_first(lnp->ln_strtree); snp;
snp = AVL_NEXT(lnp->ln_strtree, snp)) {
if (st_hash_insert(stp, snp->sn_str,
lnp->ln_strlen) == -1)
return (0);
}
/*
* Now that the strings have been copied, walk the
* StrNode tree and free all the AVL nodes. Note,
* avl_destroy_nodes() beats avl_remove() as the
* latter balances the nodes as they are removed.
* We just want to tear the whole thing down fast.
*/
cookie = NULL;
while ((snp = avl_destroy_nodes(lnp->ln_strtree,
&cookie)) != NULL)
free(snp);
avl_destroy(lnp->ln_strtree);
free(lnp->ln_strtree);
lnp->ln_strtree = NULL;
/*
* Move on to the next LenNode.
*/
lnp = AVL_NEXT(stp->st_lentree, lnp);
}
/*
* Now that all of the strings have been freed, walk the
* LenNode tree and free all of the AVL nodes. Note,
* avl_destroy_nodes() beats avl_remove() as the latter
* balances the nodes as they are removed. We just want to
* tear the whole thing down fast.
*/
cookie = NULL;
while ((lnp = avl_destroy_nodes(stp->st_lentree,
&cookie)) != NULL)
free(lnp);
avl_destroy(stp->st_lentree);
free(stp->st_lentree);
stp->st_lentree = 0;
}
assert(stp->st_strsize > 0);
assert(stp->st_fullstrsize >= stp->st_strsize);
return (stp->st_strsize);
}
int main()
{
int t;
scanf("%d",&t);
while(t--)
{
int n;
scanf("%d",&n);
int x;
int c;
int flag=1;
for(int i=0;i<n;i++)
{
scanf("%d",&x);
if(i>=1)
{
if(c!=x)
flag=0;
}
c=x;
}
if(flag==1)
{printf("0\n"); continue;}
//------------------------- Step phase------------------------
int steps=0;
int nn=n;
while(nn>1)
{
int prime=findprime(nn);
while(1)
{
if((nn%prime)) break;
steps+=n/prime;
nn=nn/prime;
}
}
printf("%d\n",steps);
//------------------------------- step cal [hase-------------------------
int d=1;
nn=n;
while(nn>1)
{
int prime=findprime(nn);
int in =1;
int j;
for(int i=0;i<n/prime;i++)
{
printf("%d ",prime);
for( j=in;j<=in+(prime-1)*d;j+=d)
{
printf("%d ",j);
}
printf("\n");
in=j+d;
}
d=d*prime;
nn=nn/prime;
in=;
}
}
return 0;
}