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QOJ
ID | 题目 | 提交者 | 结果 | 用时 | 内存 | 语言 | 文件大小 | 提交时间 | 测评时间 |
---|---|---|---|---|---|---|---|---|---|
#516918 | #9167. Coprime Array | ucup-team1198# | AC ✓ | 0ms | 3856kb | C++20 | 3.1kb | 2024-08-13 00:04:27 | 2024-08-13 00:04:27 |
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;
}
const long long INF = 1'000'000'000;
vector<long long> solve(long long s, long long x) {
if (gcd(s, x) == 1)
return {s};
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);
while (true) {
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;
long long r = s % p;
if (p == 2) {
r = 1;
} else {
while (s % p == r) {
r = 1 + rand() % (p - 1);
}
}
vals.emplace_back(q, r);
}
if (x % 2 == 0 && s % 2 == 1) {
vals[0] = make_pair(4, 2);
long long t = solve_kto(vals);
if (abs(s - t) <= INF)
return {s - t, t / 2, t / 2};
} else {
long long t = solve_kto(vals);
return {s - t, t};
}
}
}
//#define DEBUG
int main() {
ios::sync_with_stdio(false);
cin.tie(0);
cout.tie(0);
#ifdef DEBUG
for (long long s = 2; s <= INF; ++s) {
for (long long x = 2; x <= INF; ++x) {
auto ans = solve(s, x);
bool ok = true;
long long real = 0;
for (long long y : ans) {
ok = ok && abs(gcd(y, x)) == 1 && abs(y) <= INF;
real += y;
}
ok = ok && real == s;
if (!ok) {
cerr << "BUG!!\n";
cerr << s << ' ' << x << '\n';
for (long long y : ans)
cerr << y << ' ';
cerr << '\n';
}
}
}
#else
long long s, x;
cin >> s >> x;
auto ans = solve(s, x);
cout << ans.size() << '\n';
long long kek = 0;
for (long long y : ans) {
cout << y << ' ';
kek += y;
}
cout << '\n';
#endif
return 0;
}
这程序好像有点Bug,我给组数据试试?
详细
Test #1:
score: 100
Accepted
time: 0ms
memory: 3624kb
input:
9 6
output:
3 7 1 1
result:
ok Correct
Test #2:
score: 0
Accepted
time: 0ms
memory: 3616kb
input:
14 34
output:
2 -11 25
result:
ok Correct
Test #3:
score: 0
Accepted
time: 0ms
memory: 3808kb
input:
1000000000 223092870
output:
2 918513017 81486983
result:
ok Correct
Test #4:
score: 0
Accepted
time: 0ms
memory: 3552kb
input:
2 1000000000
output:
2 -361328127 361328129
result:
ok Correct
Test #5:
score: 0
Accepted
time: 0ms
memory: 3648kb
input:
649557664 933437700
output:
2 403418111 246139553
result:
ok Correct
Test #6:
score: 0
Accepted
time: 0ms
memory: 3516kb
input:
33396678 777360870
output:
2 -669147599 702544277
result:
ok Correct
Test #7:
score: 0
Accepted
time: 0ms
memory: 3504kb
input:
48205845 903124530
output:
3 -612651953 330428899 330428899
result:
ok Correct
Test #8:
score: 0
Accepted
time: 0ms
memory: 3656kb
input:
251037078 505905400
output:
2 163516949 87520129
result:
ok Correct
Test #9:
score: 0
Accepted
time: 0ms
memory: 3612kb
input:
30022920 172746860
output:
2 -90919249 120942169
result:
ok Correct
Test #10:
score: 0
Accepted
time: 0ms
memory: 3616kb
input:
63639298 808058790
output:
2 -63019009 126658307
result:
ok Correct
Test #11:
score: 0
Accepted
time: 0ms
memory: 3620kb
input:
76579017 362768406
output:
3 -500800805 288689911 288689911
result:
ok Correct
Test #12:
score: 0
Accepted
time: 0ms
memory: 3620kb
input:
40423669 121437778
output:
3 -13291505 26857587 26857587
result:
ok Correct
Test #13:
score: 0
Accepted
time: 0ms
memory: 3548kb
input:
449277309 720915195
output:
2 358841386 90435923
result:
ok Correct
Test #14:
score: 0
Accepted
time: 0ms
memory: 3616kb
input:
81665969 919836918
output:
3 -409437221 245551595 245551595
result:
ok Correct
Test #15:
score: 0
Accepted
time: 0ms
memory: 3612kb
input:
470578680 280387800
output:
2 422847727 47730953
result:
ok Correct
Test #16:
score: 0
Accepted
time: 0ms
memory: 3616kb
input:
58450340 803305503
output:
2 -137168351 195618691
result:
ok Correct
Test #17:
score: 0
Accepted
time: 0ms
memory: 3556kb
input:
125896113 323676210
output:
3 -285273509 205584811 205584811
result:
ok Correct
Test #18:
score: 0
Accepted
time: 0ms
memory: 3616kb
input:
381905348 434752500
output:
2 56698471 325206877
result:
ok Correct
Test #19:
score: 0
Accepted
time: 0ms
memory: 3856kb
input:
78916498 653897673
output:
1 78916498
result:
ok Correct
Test #20:
score: 0
Accepted
time: 0ms
memory: 3548kb
input:
35787885 270845190
output:
3 -180941513 108364699 108364699
result:
ok Correct
Extra Test:
score: 0
Extra Test Passed