Task: | Finding inverse |
Sender: | hungdojan |
Submission time: | 2024-11-17 19:46:42 +0200 |
Language: | C++ (C++17) |
Status: | READY |
Result: | ACCEPTED |
test | verdict | time | |
---|---|---|---|
#1 | ACCEPTED | 0.00 s | details |
#2 | ACCEPTED | 0.00 s | details |
#3 | ACCEPTED | 0.00 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>using namespace std;#define I_2D(row, col, width) ((row) * (width) + (col))#define PRINT_ARR(arr, n) \do { \for (int i = 0; i < n; i++) { \cout << arr[i] << " "; \} \cout << "\n"; \} while (0)#define PRINT_VEC_ARR(v, n) \do { \for (int i = 0; i < n; i++) { \cout << i << ": "; \for (auto item : v[i]) { \cout << item << " "; \} \cout << endl; \} \} while (0)#define endl '\n';typedef long long ll;ll _gcd(ll a, ll b) {if (b < 1) {return a;}return _gcd(b, a % b);}ll modpow(ll a, ll b, ll m) {// a^b % mll res = (b & 1) ? a : 1;b >>= 1;for (; b; b >>= 1) {a = (a * a) % m;if (b & 1) {res = (res * a) % m;}}return res;}ll euler_totient_fnc(ll n) {ll res = 1;for (ll i = 2; i * i <= n; i++) {ll curr = 1;ll count = -1;while (n % i == 0) {count++;if (count > 0) {curr *= i;}n /= i;}if (count >= 0) {curr *= (i - 1);}res *= curr;}if (n > 1) {res *= n - 1;}return res;}ll inverse_modulo(ll a, ll m) {ll euler_totient = euler_totient_fnc(m) - 1;return modpow(a, euler_totient, m);}int main() {ios::sync_with_stdio(0);cin.tie(0);ll a, m;cin >> a >> m;if (_gcd(a, m) != 1) {cout << -1 << endl;return 0;}cout << inverse_modulo(a, m) << 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 |