Task: | Finding inverse |
Sender: | Rasse |
Submission time: | 2024-11-14 14:03:53 +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 <iostream>#include <vector>#include <array>#include <string>#include <algorithm>#include <numeric>#include <unordered_map>#include <unordered_set>#include <queue>#include <climits>#include <cmath>#include <functional>#include <type_traits>#include <fstream>#include <bitset>#include <complex>#include <iomanip>#define int long longusing namespace std;#define cross(x, y) (((x)*conj(y)).imag())#define sign(v) ((0 < (v)) - ((v) < 0))int p(int a, int b, int m){if (b == 0) return 1;else if (b % 2 == 0) { int r = p(a, b/2, m); return (r*r) % m; }else return (p(a, b-1, m)*a) % m;}int gdc(int a, int b){if (b == 0) return a;return gdc(b, a%b);}void solve(){int a, m;cin >> a >> m;if (gdc(a, m) != 1){cout << -1;return;}unordered_map<int, int> factors;int num = m;for (int i = 2; i*i <= num; i++){while (num % i == 0){factors[i]++;num /= i;}}if (num > 1)factors[num]++;// Calc phiint phi = 1;for (auto kv : factors)phi *= p(kv.first, kv.second-1, m) * (kv.first - 1);cout << p(a, phi-1, m) << '\n';}signed main(){ios::sync_with_stdio(0);cout.precision(25);//setprecision(10);//cin.tie(0);int t = 1;//cin >> t;//ifstream f("testcase.txt");//cin.rdbuf(f.rdbuf());for (int i = 0; i < t; i++){solve();cout.flush();}}
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 |