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QOJ

IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#732240#5505. Great Chasearnold518#AC ✓562ms22208kbC++171022b2024-11-10 13:44:492024-11-10 13:44:56

Judging History

你现在查看的是最新测评结果

  • [2024-11-10 13:44:56]
  • 评测
  • 测评结果:AC
  • 用时:562ms
  • 内存:22208kb
  • [2024-11-10 13:44:49]
  • 提交

answer

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

typedef long long ll;
typedef pair<int, int> pii;
typedef pair<ll, ll> pll;
typedef long long lint;

const double inf = 1e18;

lint N, V;
vector<pll> l, r;

void exe() {
    cin >> N >> V;

    l.clear(); r.clear();

    for (int i=0; i<N; i++) {
        lint x, v;
        cin >> x >> v;

        if (x < 0) l.emplace_back(x, v);
        else r.emplace_back(x, v);
    }

    auto able = [&](double x) {
        double lmx = -inf, rmn = inf;

        for (auto [p, v] : l) lmx = max(lmx, p + x * v);
        for (auto [p, v] : r) rmn = min(rmn, p - x * v);

        return rmn <= lmx;
    };

    double l = 0.0, r = 1e13;

    for (int _=0; _<100; _++) {
        double m = (l+r) / 2;

        if (able(m)) r = m;
        else l = m;
    }

    cout << fixed << setprecision(10);
    cout << r * V << '\n';
}

int main()
{
    ios_base::sync_with_stdio(false); cin.tie(NULL);

    int TC;
    cin >> TC;
    // scanf("%d", &TC);
    while(TC--)
    {
        exe();
    }
}

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 0ms
memory: 3908kb

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:

38.2500000000
1.2307692308
3000000000000.0000000000

result:

ok 3 numbers

Test #2:

score: 0
Accepted
time: 449ms
memory: 3736kb

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:

145405766328.3491210938
16414958969.7272815704
5202715639.8351840973
321977234.1563258767
45384199210.2216873169
183885744.7692307830
1708925225.2304723263
89786664971.5579376221
13924365606.2873897552
412975327.5555555820
965508404.5121016502
4703493416.2883758545
352961619.3810438514
5575125771.79...

result:

ok 10000 numbers

Test #3:

score: 0
Accepted
time: 542ms
memory: 4080kb

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:

189662921.3636363745
197971181.3333333433
997533531.7376297712
6439673170.6657419205
993821598110.6610107422
22727977326.4026641846
34702455207.5185089111
677770533.9298175573
46631726883.9691390991
5446481867.1290321350
11336247450.2720794678
4409370840.4391317368
15681606050.5762882233
14986614231...

result:

ok 93 numbers

Test #4:

score: 0
Accepted
time: 562ms
memory: 22208kb

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:

519985220219.8117675781
511413015796.7664794922
424240880533.6340332031
518849481155.5039062500
1882496988186.4440917969

result:

ok 5 numbers

Test #5:

score: 0
Accepted
time: 545ms
memory: 6744kb

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:

89670748252.9786071777
98630840901.5076141357
29393530999.8943252563
50801000770.9559860229
39668001027.2693328857
467846478226.4114379883
30789914370.5743141174
23151476830.9050979614
51606123416.6258316040
151713060001.6625976562
100944679009.6092834473
766785664078.3590087891
39969642788.06187438...

result:

ok 38 numbers