QOJ.ac

QOJ

IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#513107#9167. Coprime Arrayucup-team1264#WA 800ms3832kbC++202.6kb2024-08-10 16:56:232024-08-10 16:56:24

Judging History

你现在查看的是最新测评结果

  • [2024-08-11 17:38:28]
  • hack成功,自动添加数据
  • (/hack/775)
  • [2024-08-10 16:56:24]
  • 评测
  • 测评结果:WA
  • 用时:800ms
  • 内存:3832kb
  • [2024-08-10 16:56:23]
  • 提交

answer

// https://www.youtube.com/watch?v=wthasN45KuY
// You said I’d fly away
// But my walls have kept me down
// Now I’m lost and I’m afraid
// And I’m close to hit the ground
// 
// You said I’d fly away
// You said I’d fly anywhere
// But I keep on Falling

#ifndef ONLINE_JUDGE
#include "templates/debug.hpp"
#else
#define debug(...)
#endif

#include <bits/stdc++.h>
using namespace std;
using i64 = int64_t;
using u64 = uint64_t;

#define int i64
void solve() {
    int s, x; cin >> s >> x;
    if (gcd(s, x) == 1) {
        cout << 1 << "\n";
        cout << s << "\n";  
    }
    // Goldbach's conjecture
    if (x <= 20000 || s <= 20000) {
        int m = min(x, s);
        vector<int> dp(m + 1, 1e9 + 7), fa(m + 1, -1);
        dp[0] = 0;
        vector<int> cop_nums;
        dp[1] = 1; cop_nums.push_back(1); fa[1] = 1;
        for (int i = 2; i <= m; i++) {
            if (gcd(i, x) == 1) {
                dp[i] = 1;
                cop_nums.push_back(i);
                fa[i] = i;
                continue;
            }
            for (int cop: cop_nums) {
                if (dp[i - cop] + 1 < dp[i]) {
                    dp[i] = dp[i - cop] + 1;
                    fa[i] = cop;
                }
            }
        }
        debug(dp);
        cout << dp[s % x] << "\n";
        vector<int> ans;
        while (s % x != 0) {
            ans.push_back(fa[s % x]);
            s -= fa[s % x];
        }
        ans[0] += s;
        for (int x: ans) cout << x << " ";
        cout << "\n";
    } else {
        auto time = chrono::high_resolution_clock::now();
        mt19937_64 rng(chrono::steady_clock::now().time_since_epoch().count());
        using chrono_literals::operator""ms;
        while (chrono::high_resolution_clock::now() - time < 800ms) {
            int t = rng() % int(1e9 - 7) + 1;
            if (gcd(t, x) == 1 && gcd(s - t, x) == 1) {
                cout << 2 << "\n";
                cout << t << " " << s - t << "\n";
                return;
            }
        }
        while (true) {
            int t1 = 1, t2 = rng() % (x - 1) + 1;
            if (gcd(t2, x) == 1 && gcd(s - t1 - t2, x) == 1) {
                cout << 3 << "\n";
                cout << 1 << " " << t2 << " " << s - t1 - t2 << "\n";
                return;
            }
        }
    }

}
#undef int

// Make bold hypotheses and verify carefully
int main() {
    cin.tie(nullptr);
    ios::sync_with_stdio(false);
    int t = 1;
    // cin >> t;
    while (t--) {
        solve();
    }
}

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 0ms
memory: 3620kb

input:

9 6

output:

3
7 1 1 

result:

ok Correct

Test #2:

score: 0
Accepted
time: 0ms
memory: 3788kb

input:

14 34

output:

2
1 13 

result:

ok Correct

Test #3:

score: 0
Accepted
time: 0ms
memory: 3668kb

input:

1000000000 223092870

output:

2
22033553 977966447

result:

ok Correct

Test #4:

score: 0
Accepted
time: 0ms
memory: 3592kb

input:

2 1000000000

output:

2
1 1 

result:

ok Correct

Test #5:

score: 0
Accepted
time: 0ms
memory: 3660kb

input:

649557664 933437700

output:

2
593825567 55732097

result:

ok Correct

Test #6:

score: 0
Accepted
time: 0ms
memory: 3624kb

input:

33396678 777360870

output:

2
987922109 -954525431

result:

ok Correct

Test #7:

score: 0
Accepted
time: 800ms
memory: 3648kb

input:

48205845 903124530

output:

3
1 672208627 -624002783

result:

ok Correct

Test #8:

score: 0
Accepted
time: 0ms
memory: 3548kb

input:

251037078 505905400

output:

2
55998447 195038631

result:

ok Correct

Test #9:

score: 0
Accepted
time: 0ms
memory: 3664kb

input:

30022920 172746860

output:

2
793912043 -763889123

result:

ok Correct

Test #10:

score: 0
Accepted
time: 0ms
memory: 3832kb

input:

63639298 808058790

output:

2
704297207 -640657909

result:

ok Correct

Test #11:

score: 0
Accepted
time: 800ms
memory: 3820kb

input:

76579017 362768406

output:

3
1 13656823 62922193

result:

ok Correct

Test #12:

score: 0
Accepted
time: 800ms
memory: 3608kb

input:

40423669 121437778

output:

3
1 67339869 -26916201

result:

ok Correct

Test #13:

score: 0
Accepted
time: 0ms
memory: 3816kb

input:

449277309 720915195

output:

2
174906911 274370398

result:

ok Correct

Test #14:

score: 0
Accepted
time: 800ms
memory: 3828kb

input:

81665969 919836918

output:

3
1 689076335 -607410367

result:

ok Correct

Test #15:

score: 0
Accepted
time: 0ms
memory: 3788kb

input:

470578680 280387800

output:

2
650346769 -179768089

result:

ok Correct

Test #16:

score: 0
Accepted
time: 0ms
memory: 3832kb

input:

58450340 803305503

output:

2
880905616 -822455276

result:

ok Correct

Test #17:

score: 0
Accepted
time: 800ms
memory: 3664kb

input:

125896113 323676210

output:

3
1 83811889 42084223

result:

ok Correct

Test #18:

score: 0
Accepted
time: 0ms
memory: 3752kb

input:

381905348 434752500

output:

2
406584907 -24679559

result:

ok Correct

Test #19:

score: -100
Wrong Answer
time: 0ms
memory: 3612kb

input:

78916498 653897673

output:

1
78916498
2
631166879 -552250381

result:

wrong output format Extra information in the output file