Submission details
Task:Finding inverse
Sender:ileska
Submission time:2025-11-13 20:14:41 +0200
Language:C++ (C++20)
Status:READY
Result:ACCEPTED
Test results
testverdicttime
#1ACCEPTED0.00 sdetails
#2ACCEPTED0.00 sdetails
#3ACCEPTED0.01 sdetails
#4ACCEPTED0.00 sdetails
#5ACCEPTED0.00 sdetails
#6ACCEPTED0.00 sdetails
#7ACCEPTED0.00 sdetails
#8ACCEPTED0.00 sdetails
#9ACCEPTED0.00 sdetails
#10ACCEPTED0.00 sdetails
#11ACCEPTED0.00 sdetails
#12ACCEPTED0.00 sdetails
#13ACCEPTED0.00 sdetails
#14ACCEPTED0.00 sdetails

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