QOJ.ac

QOJ

IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#377509#5505. Great Chase8BQube#AC ✓774ms10040kbC++20984b2024-04-05 14:35:422024-04-05 14:35:42

Judging History

你现在查看的是最新测评结果

  • [2024-04-05 14:35:42]
  • 评测
  • 测评结果:AC
  • 用时:774ms
  • 内存:10040kb
  • [2024-04-05 14:35:42]
  • 提交

answer

#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
typedef pair<int, int> pii;
typedef pair<ll, ll> pll;
#define X first
#define Y second
#define SZ(a) ((int)a.size())
#define pb push_back
#define ALL(v) v.begin(), v.end()

const double INF = 1e12;

void solve() {
    int n;
    ll v0;
    cin >> n >> v0;
    vector<pll> vec(n);
    for (auto &[p, v] : vec)
        cin >> p >> v;

    auto check = [&](double mid) {
        double mi = INF, mx = -INF;
        for (auto [p, v] : vec) {
            if (p < 0) mx = max(mx, v * mid + p);
            else mi = min(mi, p - v * mid);
        }
        return mx >= mi;
    };

    double l = 0, r = 1e12;
    for (int t = 0; t < 100; ++t) {
        double mid = (l + r) / 2;
        if (check(mid)) r = mid;
        else l = mid;
    }
    cout << fixed << setprecision(15) << r * v0 << "\n";
}

int main() {
    ios::sync_with_stdio(0), cin.tie(0);
    int t;
    cin >> t;
    while (t--) {
        solve();
    }
}

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 0ms
memory: 3744kb

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:

38.250000000000000
1.230769230769231
3000000000000.000000000000000

result:

ok 3 numbers

Test #2:

score: 0
Accepted
time: 366ms
memory: 3908kb

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:

145405766328.349121093750000
16414958969.727281570434570
5202715639.835184097290039
321977234.156325876712799
45384199210.221687316894531
183885744.769230782985687
1708925225.230472326278687
89786664971.557937622070312
13924365606.287389755249023
412975327.555555582046509
965508404.512101650238037
4...

result:

ok 10000 numbers

Test #3:

score: 0
Accepted
time: 727ms
memory: 4264kb

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:

189662921.363636374473572
197971181.333333343267441
997533531.737629771232605
6439673170.665741920471191
993821598110.661010742187500
22727977326.402664184570312
34702455207.518508911132812
677770533.929817557334900
46631726883.969139099121094
5446481867.129032135009766
11336247450.272079467773438
4...

result:

ok 93 numbers

Test #4:

score: 0
Accepted
time: 528ms
memory: 10040kb

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:

519985220219.811767578125000
511413015796.766479492187500
424240880533.634033203125000
518849481155.503906250000000
1882496988186.444091796875000

result:

ok 5 numbers

Test #5:

score: 0
Accepted
time: 774ms
memory: 8300kb

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:

89670748252.978607177734375
98630840901.507614135742188
29393530999.894325256347656
50801000770.955986022949219
39668001027.269332885742188
467846478226.411437988281250
30789914370.574314117431641
23151476830.905097961425781
51606123416.625831604003906
151713060001.662597656250000
100944679009.60928...

result:

ok 38 numbers