QOJ.ac

QOJ

IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#797362#5505. Great ChaseAhoora#AC ✓1030ms26256kbC++141.2kb2024-12-02 21:33:192024-12-02 21:33:20

Judging History

你现在查看的是最新测评结果

  • [2024-12-02 21:33:20]
  • 评测
  • 测评结果:AC
  • 用时:1030ms
  • 内存:26256kb
  • [2024-12-02 21:33:19]
  • 提交

answer

#include<bits/stdc++.h>
using namespace std;

#define bug(x) cerr << #x << " = " << x << '\n';
typedef pair<double, double> pld;

bool check(vector<pld> L, vector<pld> R, double t) {
    double mn = 1e12;
    double mx = -1e12;
    for (auto x: L) {
        mx = max(mx, x.first + t * x.second);
    }
    for (auto x: R) {
        mn = min(mn, x.first - t * x.second);
    }
    if (mn <= mx)
        return true;
    return false;
}

void solve() {
    int n;
    double v;
    cin >> n >> v;
    vector<pld> p(n);
    vector<pld> L, R;
    for (auto &x: p) {
        cin >> x.first >> x.second;
        if (x.first < 0) {
            L.push_back(x);
        } else {
            R.push_back(x);
        }
    }
    double l = 0, r = 1e12;//(R[0].first - L[0].first) / (R[0].second + L[0].second);
    for (int i= 0; i < 100; i++) {
        double mid = (l + r) / 2.;
        if (check(L, R, mid)) {
            r = mid;
        } else {
            l = mid;
        }
    }
    cout << r * v << '\n';
}

int main() {
    ios::sync_with_stdio(false), cin.tie(0), cout.tie(0);
    cout << setprecision(8) << fixed;
    int Q;
    cin >> Q;
    while (Q--) {
        solve();       
    }
    return 0;
}

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 0ms
memory: 3832kb

input:

3
4 9
10 2
-7 2
-6 1
7 1
2 8
-1 7
1 6
2 3
-1000000000000 1
1000000000000 1

output:

38.25000000
1.23076923
3000000000000.00000000

result:

ok 3 numbers

Test #2:

score: 0
Accepted
time: 711ms
memory: 4064kb

input:

10000
200 997007
405524182320 754760
686939601648 419804
687047488212 715566
1446157132 4594
-670522037 4673
763634629282 253755
424307411732 275041
1582708381 8473
-667425982 4622
-522841486 1427
702430907988 460271
1405423646 1060
1497754648 6227
883363410675 723547
56899800372 46435
-810216390 64...

output:

145405766328.34912109
16414958969.72728157
5202715639.83518410
321977234.15632588
45384199210.22168732
183885744.76923078
1708925225.23047233
89786664971.55793762
13924365606.28738976
412975327.55555558
965508404.51210165
4703493416.28837585
352961619.38104385
5575125771.79879761
341191687.00011623
...

result:

ok 10000 numbers

Test #3:

score: 0
Accepted
time: 833ms
memory: 4900kb

input:

93
15435 968117
4196666 184
-5069875 255
-9782648 980
-1978138 176
9333323 764
-4323540 12
-8442049 319
-5371878 137
2881306 10
-4050629 133
-4659099 59
-5189169 320
-2256647 99
-3686648 37
1059255 33
-223142 20
8040933 408
8407764 705
694547 38
-7913614 746
-3573355 132
5919585 189
-3756662 94
-795...

output:

189662921.36363637
197971181.33333334
997533531.73762977
6439673170.66574192
993821598110.66101074
22727977326.40266418
34702455207.51850891
677770533.92981756
46631726883.96913910
5446481867.12903214
11336247450.27207947
4409370840.43913174
15681606050.57628822
14986614231.54685974
1025909753.14298...

result:

ok 93 numbers

Test #4:

score: 0
Accepted
time: 1030ms
memory: 26256kb

input:

5
400000 999972
172811492468 106699
171900177092 102097
194121748377 184014
190302947556 172722
183121572232 149212
196566712700 190884
171376795991 99358
522927044000 159597
-129031052077 34395
189422320931 170012
-275879974024 638546
408864707565 98475
-106703244806 368801
192128798630 178213
2915...

output:

519985220219.81176758
511413015796.76647949
424240880533.63403320
518849481155.50390625
1882496988186.44409180

result:

ok 5 numbers

Test #5:

score: 0
Accepted
time: 943ms
memory: 14876kb

input:

38
16668 999947
-3844782803 511
-210897941456 464872
618726004990 714384
-954596898686 225256
96675744 1148
-1515974078 11375
-206213840984 706184
306078847 3947
-474818331950 391451
-616022698917 561244
123378707 1540
-640636592655 406006
459201391325 908506
-733249583 5719
496163273 6238
619876911...

output:

89670748252.97860718
98630840901.50761414
29393530999.89432526
50801000770.95598602
39668001027.26933289
467846478226.41143799
30789914370.57431412
23151476830.90509796
51606123416.62583160
151713060001.66259766
100944679009.60928345
766785664078.35900879
39969642788.06187439
62341065938.36005402
32...

result:

ok 38 numbers