Pagini recente » Cod sursa (job #1454236) | Cod sursa (job #2353009) | Cod sursa (job #2841136) | Cod sursa (job #937537) | Cod sursa (job #1410890)
#include<algorithm>
#include<bitset>
#include<cmath>
#include<cstdio>
#include<cstdlib>
#include<cstring>
#include<ctime>
#include<deque>
#include<fstream>
#include<iomanip>
#include<iostream>
#include<map>
#include<queue>
#include<set>
#include<stack>
#include<unordered_map>
#include<unordered_set>
#include<utility>
#include<vector>
using namespace std;
#ifdef HOME
const string inputFile = "input.txt";
const string outputFile = "output.txt";
#else
const string problemName = "ssnd";
const string inputFile = problemName + ".in";
const string outputFile = problemName + ".out";
#endif
typedef long long int lld;
typedef pair<lld, int> PLI;
const int MOD = 9973;
int N, T;
lld X;
int P[100000], top;
bitset<50005> viz;
PLI Q[20];
void ciur() {
int i, j;
P[++top] = 2;
for(i = 3; i * i <= 100000; i += 2)
if(!viz[i / 2]) {
P[++top] = i;
for(j = i * i; j <= 100000; j += 2 * i)
viz[j / 2] = 1;
}
for(; i <= 100000; i += 2)
if(!viz[i / 2])
P[++top] = i;
}
void desc(lld x, PLI *Q, int &T) {
int i, p;
for(i = 1; i <= top && P[i] * 1LL * P[i] <= x; i++)
if(x % P[i] == 0) {
p = 0;
while(x % P[i] == 0) {
p++;
x /= P[i];
}
Q[++T] = make_pair(P[i], p);
}
if(x > 1)
Q[++T] = make_pair(x, 1);
}
int expLog(int B, int E) {
int i, ans = 1;
for(i = E; i; i /= 2) {
if(i & 1)
ans = (ans * B) % MOD;
B = (B * B) % MOD;
}
return ans;
}
int invMod(int x) {
return expLog(x, MOD - 2);
}
int main() {
int i, nrdiv, sum;
#ifndef ONLINE_JUDGE
freopen(inputFile.c_str(), "r", stdin);
freopen(outputFile.c_str(), "w", stdout);
#endif
scanf("%d", &N);
ciur();
while(N--) {
scanf("%lld", &X);
T = 0;
desc(X, Q, T);
nrdiv = sum = 1;
for(i = 1; i <= T; i++) {
nrdiv *= (Q[i].second + 1);
nrdiv %= MOD;
sum *= (expLog(Q[i].first % MOD, Q[i].second + 1) - 1 + MOD) % MOD;
sum %= MOD;
sum *= invMod((Q[i].first - 1 + MOD) % MOD);
sum %= MOD;
}
printf("%d %d\n", nrdiv, sum);
}
return 0;
}