| Task: | Finding inverse |
| Sender: | ileska |
| Submission time: | 2025-11-13 20:14:41 +0200 |
| Language: | C++ (C++20) |
| Status: | READY |
| Result: | ACCEPTED |
| test | verdict | time | |
|---|---|---|---|
| #1 | ACCEPTED | 0.00 s | details |
| #2 | ACCEPTED | 0.00 s | details |
| #3 | ACCEPTED | 0.01 s | details |
| #4 | ACCEPTED | 0.00 s | details |
| #5 | ACCEPTED | 0.00 s | details |
| #6 | ACCEPTED | 0.00 s | details |
| #7 | ACCEPTED | 0.00 s | details |
| #8 | ACCEPTED | 0.00 s | details |
| #9 | ACCEPTED | 0.00 s | details |
| #10 | ACCEPTED | 0.00 s | details |
| #11 | ACCEPTED | 0.00 s | details |
| #12 | ACCEPTED | 0.00 s | details |
| #13 | ACCEPTED | 0.00 s | details |
| #14 | ACCEPTED | 0.00 s | details |
Code
#include <bits/stdc++.h>
typedef long long ll;
int gcd(int aa, int bb) {
if (aa == 0)
return bb;
return gcd(bb % aa, aa);
}
ll totient(ll nn) {
ll result = nn;
for (ll pp = 2; pp * pp <= nn; ++pp) {
if (nn % pp == 0) {
while (nn % pp == 0)
nn /= pp;
result -= result / pp;
}
}
if (nn > 1)
result -= result / nn;
return result;
}
ll modPow(ll x, ll n, ll m) {
if (n == 0)
return 1 % m;
long long u = modPow(x, n / 2, m);
u = (u * u) % m;
if (n % 2 == 1)
u = (u * x) % m;
return u;
}
int isPrime(ll nn) {
if (nn % 2 == 0)
return 0;
ll pp = 3;
while (pp * pp < nn) {
if (nn % pp == 0) {
return 0;
}
pp += 2;
}
return 1;
}
int main() {
ll num, mod;
std::cin >> num >> mod;
ll ret = 0;
if (isPrime(mod)) {
ret = modPow(num, mod - 2, mod);
} else {
ll toti = totient(mod);
ret = modPow(num, toti - 1, mod);
}
if ((num * ret) % mod != 1) {
ret = -1;
}
std::cout << ret << std::endl;
return 0;
}Test details
Test 1
Verdict: ACCEPTED
| input |
|---|
| 6 7 |
| correct output |
|---|
| 6 |
| user output |
|---|
| 6 |
Test 2
Verdict: ACCEPTED
| input |
|---|
| 0 7 |
| correct output |
|---|
| -1 |
| user output |
|---|
| -1 |
Test 3
Verdict: ACCEPTED
| input |
|---|
| 5 78 |
| correct output |
|---|
| 47 |
| user output |
|---|
| 47 |
Test 4
Verdict: ACCEPTED
| input |
|---|
| 89 99 |
| correct output |
|---|
| 89 |
| user output |
|---|
| 89 |
Test 5
Verdict: ACCEPTED
| input |
|---|
| 0 61 |
| correct output |
|---|
| -1 |
| user output |
|---|
| -1 |
Test 6
Verdict: ACCEPTED
| input |
|---|
| 897 947 |
| correct output |
|---|
| 625 |
| user output |
|---|
| 625 |
Test 7
Verdict: ACCEPTED
| input |
|---|
| 419 538 |
| correct output |
|---|
| 217 |
| user output |
|---|
| 217 |
Test 8
Verdict: ACCEPTED
| input |
|---|
| 32 938 |
| correct output |
|---|
| -1 |
| user output |
|---|
| -1 |
Test 9
Verdict: ACCEPTED
| input |
|---|
| 184120 505187 |
| correct output |
|---|
| 438779 |
| user output |
|---|
| 438779 |
Test 10
Verdict: ACCEPTED
| input |
|---|
| 264601 885661 |
| correct output |
|---|
| 360221 |
| user output |
|---|
| 360221 |
Test 11
Verdict: ACCEPTED
| input |
|---|
| 40310 590135 |
| correct output |
|---|
| -1 |
| user output |
|---|
| -1 |
Test 12
Verdict: ACCEPTED
| input |
|---|
| 202254499 577081420 |
| correct output |
|---|
| 128866679 |
| user output |
|---|
| 128866679 |
Test 13
Verdict: ACCEPTED
| input |
|---|
| 539836073 888851205 |
| correct output |
|---|
| 797044652 |
| user output |
|---|
| 797044652 |
Test 14
Verdict: ACCEPTED
| input |
|---|
| 697847215 756971670 |
| correct output |
|---|
| -1 |
| user output |
|---|
| -1 |
