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QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#516868 | #9167. Coprime Array | ucup-team1198# | WA | 0ms | 3812kb | C++20 | 2.2kb | 2024-08-12 22:49:36 | 2024-08-12 22:49:36 |
Judging History
answer
#include <map>
#include <set>
#include <array>
#include <cmath>
#include <deque>
#include <bitset>
#include <random>
#include <string>
#include <vector>
#include <cassert>
#include <complex>
#include <iomanip>
#include <iostream>
#include <algorithm>
#include <unordered_map>
#include <unordered_set>
using namespace std;
long long gcd(long long a, long long b) {
while (b) {
a %= b;
swap(a, b);
}
return a;
}
pair<long long, long long> gcd_extended(long long a, long long b) {
if (b == 0)
return make_pair(1, 0);
long long q = a / b, r = a % b;
auto tmp = gcd_extended(b, r);
return make_pair(tmp.second, tmp.first - q * tmp.second);
}
long long solve_kto(vector<pair<long long, long long>> vals) {
long long m1 = vals[0].first;
long long r1 = vals[0].second;
for (int i = 1; i < vals.size(); ++i) {
long long m2 = vals[i].first;
long long r2 = vals[i].second;
auto [a, b] = gcd_extended(m1, m2);
long long x = (a % m2) * ((r2 - r1) % m2) % m2;
if (x < 0)
x += m2;
r1 += x * m1;
m1 *= m2;
}
return r1;
}
int main() {
ios::sync_with_stdio(false);
cin.tie(0);
cout.tie(0);
long long s, x;
cin >> s >> x;
if (gcd(s, x) == 1) {
cout << "1\n" << s << '\n';
return 0;
}
vector<pair<long long, int>> primes;
long long y = x;
long long i = 2;
while (i * i <= y) {
if (y % i == 0) {
int cnt = 0;
while (y % i == 0) {
++cnt;
y /= i;
}
primes.emplace_back(i, cnt);
}
++i;
}
if (y > 1)
primes.emplace_back(y, 1);
vector<pair<long long, long long>> vals;
for (int i = 0; i < primes.size(); ++i) {
long long q = 1;
long long p = primes[i].first;
for (int j = 0; j < primes[i].second; ++j)
q *= p;
vals.emplace_back(q, s % p == 1 ? p - 1 : 1);
}
if (x % 2 == 0 && s % 2 == 1) {
vals[0] = make_pair(4, 2);
long long x = solve_kto(vals);
cout << 3 << '\n';
cout << s - x << ' ' << x / 2 << ' ' << x / 2 << '\n';
} else {
long long x = solve_kto(vals);
cout << 2 << '\n';
cout << s - x << ' ' << x << '\n';
}
return 0;
}
Details
Tip: Click on the bar to expand more detailed information
Test #1:
score: 100
Accepted
time: 0ms
memory: 3548kb
input:
9 6
output:
3 -1 5 5
result:
ok Correct
Test #2:
score: 0
Accepted
time: 0ms
memory: 3524kb
input:
14 34
output:
2 13 1
result:
ok Correct
Test #3:
score: 0
Accepted
time: 0ms
memory: 3744kb
input:
1000000000 223092870
output:
2 851271419 148728581
result:
ok Correct
Test #4:
score: 0
Accepted
time: 0ms
memory: 3588kb
input:
2 1000000000
output:
2 1 1
result:
ok Correct
Test #5:
score: 0
Accepted
time: 0ms
memory: 3596kb
input:
649557664 933437700
output:
2 130981163 518576501
result:
ok Correct
Test #6:
score: 0
Accepted
time: 0ms
memory: 3600kb
input:
33396678 777360870
output:
2 33396677 1
result:
ok Correct
Test #7:
score: 0
Accepted
time: 0ms
memory: 3808kb
input:
48205845 903124530
output:
3 -403356421 225781133 225781133
result:
ok Correct
Test #8:
score: 0
Accepted
time: 0ms
memory: 3612kb
input:
251037078 505905400
output:
2 251037077 1
result:
ok Correct
Test #9:
score: 0
Accepted
time: 0ms
memory: 3476kb
input:
30022920 172746860
output:
2 30022919 1
result:
ok Correct
Test #10:
score: 0
Accepted
time: 0ms
memory: 3812kb
input:
63639298 808058790
output:
2 -564850873 628490171
result:
ok Correct
Test #11:
score: 0
Accepted
time: 0ms
memory: 3520kb
input:
76579017 362768406
output:
3 -259201429 167890223 167890223
result:
ok Correct
Test #12:
score: 0
Accepted
time: 0ms
memory: 3812kb
input:
40423669 121437778
output:
3 -20295221 30359445 30359445
result:
ok Correct
Test #13:
score: 0
Accepted
time: 0ms
memory: 3548kb
input:
449277309 720915195
output:
2 449277308 1
result:
ok Correct
Test #14:
score: -100
Wrong Answer
time: 0ms
memory: 3612kb
input:
81665969 919836918
output:
3 -1298089409 689877689 689877689
result:
wrong answer Integer element a[1] equals to -1298089409, violates the range [-10^9, 10^9]