QOJ.ac

QOJ

IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#84360#5505. Great ChaseblockcheAC ✓760ms18196kbC++201.1kb2023-03-06 12:04:002023-03-06 12:04:03

Judging History

你现在查看的是最新测评结果

  • [2023-08-10 23:21:45]
  • System Update: QOJ starts to keep a history of the judgings of all the submissions.
  • [2023-03-06 12:04:03]
  • 评测
  • 测评结果:AC
  • 用时:760ms
  • 内存:18196kb
  • [2023-03-06 12:04:00]
  • 提交

answer

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

void solve() {
    int n, w;
    cin >> n >> w;
    vector<pair<i64, i64>> a, b;
    for (int i = 0; i < n; i++) {
        i64 p, v;
        cin >> p >> v;
        if (p < 0) {
            a.emplace_back(p, v);
        } else {
            b.emplace_back(p, v);
        }
    }
    sort(a.begin(), a.end(), greater());
    sort(b.begin(), b.end());

    double lo = 0, hi = 3e12;
    for (int i = 0; i < 100; i++) {
        double mid = (lo + hi) / 2;

        double l = -1e18, r = 1e18;
        for (auto [p, v] : a) {
            l = max(l, mid * v + p);
        }
        for (auto [p, v] : b) {
            r = min(r, -mid * v + p);
        }

        if (l < r) {
            lo = mid;
        } else {
            hi = mid;
        }
    }

    double ans = lo * w;
    cout << ans << '\n';
}

int main() {
    ios::sync_with_stdio(false);
    cin.tie(nullptr);

    cout << setprecision(15) << fixed;

    int T;
    cin >> T;

    while (T--) {
        solve();
    }

    return 0;
}

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 2ms
memory: 3504kb

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:

38.249999999999993
1.230769230769231
2999999999999.999511718750000

result:

ok 3 numbers

Test #2:

score: 0
Accepted
time: 579ms
memory: 3508kb

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:

145405766328.349090576171875
16414958969.727277755737305
5202715639.835183143615723
321977234.156325817108154
45384199210.221679687500000
183885744.769230753183365
1708925225.230472087860107
89786664971.557922363281250
13924365606.287387847900391
412975327.555555522441864
965508404.512101411819458
4...

result:

ok 10000 numbers

Test #3:

score: 0
Accepted
time: 721ms
memory: 4132kb

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:

189662921.363636344671249
197971181.333333313465118
997533531.737629532814026
6439673170.665740966796875
993821598110.660888671875000
22727977326.402660369873047
34702455207.518501281738281
677770533.929817438125610
46631726883.969131469726562
5446481867.129031181335449
11336247450.272077560424805
4...

result:

ok 93 numbers

Test #4:

score: 0
Accepted
time: 760ms
memory: 18196kb

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:

519985220219.811706542968750
511413015796.766418457031250
424240880533.633972167968750
518849481155.503906250000000
1882496988186.444091796875000

result:

ok 5 numbers

Test #5:

score: 0
Accepted
time: 705ms
memory: 8612kb

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:

89670748252.978591918945312
98630840901.507598876953125
29393530999.894321441650391
50801000770.955978393554688
39668001027.269325256347656
467846478226.411376953125000
30789914370.574310302734375
23151476830.905094146728516
51606123416.625823974609375
151713060001.662567138671875
100944679009.60926...

result:

ok 38 numbers