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Cod sursa(job #481620)
# include <cstdio>
typedef long long ll ;
const char FIN[] = "ssnd.in", FOU[] = "ssnd.out" ;
const int MAX = 1000005, MOD = 9973 ;
ll N ;
int P[MAX] ;
int T, K = 0;
unsigned char V[1 << 17];
void prec ( void ) {
P[++K] = 2;
for (int i = 1; ( i * i << 1 ) + ( i << 1 ) <= MAX; ++i) {
if ( ( V[i >> 3] & ( 1 << ( i & 7 ) ) ) ) {
continue;
}
for (int j = ( i * i << 1 ) + ( i << 1 ); ( j << 1 ) + 1 <= MAX; j += ( i << 1 ) + 1) {
V[j >> 3] |= ( 1 << ( j & 7 ) );
}
}
for (int i = 1; ( i << 1 ) + 1 <= MAX; ++i) {
if ( ( V[i >> 3] & ( 1 << ( i & 7 ) ) ) == 0 ) {
P[++K] = ( i << 1 ) + 1 ;
}
}
}
inline int pow(int x, int p) {
int rez = 1;
x %= MOD;
for(; p; p >>= 1) {
if(p & 1) {
rez *= x;
rez %= MOD;
}
x *= x;
x %= MOD;
}
return rez;
}
inline int pow1 ( int N, int P ) {
int sol = 1;
for ( int i = 0; 1 << i <= P; ++i ) {
if ( ( 1 << i & P ) > 0 ) {
sol *= N, sol %= MOD ;
}
N *= N, N %= MOD ;
}
return sol ;
}
void ssnd ( void ) {
scanf ( "%lld", &N ) ;
int NR = 1, SUM = 1;
for ( int i = 1; 1LL * P[i] * P[i] <= N && i <= K; ++i ) {
if ( N % P[i] == 0 ) {
int p ;
for ( p = 0 ; N % P[i] == 0; N /= P[i], ++p ) ;
NR *= p + 1 ;
SUM *= pow ( P[i], p + 1 ) - 1, SUM %= MOD ;
SUM *= pow ( P[i] - 1, MOD - 2 ) , SUM %= MOD ;
}
}
if ( N > 1 ) {
NR <<= 1 ;
SUM *= ( N + 1 ) % MOD, SUM %= MOD ;
}
printf ( "%d %d\n", NR, SUM ) ;
}
int main ( void ) {
freopen ( FIN, "r", stdin ) ;
freopen ( FOU, "w", stdout ) ;
prec () ;
for ( scanf ( "%d", &T ) ; T ; --T ) {
ssnd () ;
}
}