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QOJ

IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#179269#5505. Great Chasereal_sigma_teamAC ✓317ms15132kbC++201.3kb2023-09-14 20:08:022023-09-14 20:08:02

Judging History

你现在查看的是最新测评结果

  • [2023-09-14 20:08:02]
  • 评测
  • 测评结果:AC
  • 用时:317ms
  • 内存:15132kb
  • [2023-09-14 20:08:02]
  • 提交

answer

#include<bits/stdc++.h>

using namespace std;

#define all(x) (x).begin(), (x).end()
#define sz(x) (int)(x).size()

using ll = long long;
using ld = double;

const int N = 4e5 + 5;
const ld eps = 1e-9;
pair<ld, ld> m[N], p[N];
int l_, r_;

bool check(ld t) {
    ld mx = -1e18;
    ld mn = 1e18;

    for (int i = 0; i < l_; i++) {
        mx = max(mx, m[i].first + t * m[i].second);
    }

    for (int i = 0; i < r_; i++) {
        mn = min(mn, p[i].first - t * p[i].second);
    }

    return mn <= mx;
}

void solve() {
    int n, v;
    cin >> n >> v;
    l_ = r_ = 0;
    for (int i = 0; i < n; i++) {
        ll x, y;
        cin >> x >> y;
        if (x < 0)
            m[l_++] = {x, y};
        else
            p[r_++] = {x, y};
    }

    long double l = 0, r = 1e14;

    for (int _ = 0; _ < 100; _++) {
        ld mid = (l + r) / 2;
        if (check(mid))
            r = mid;
        else
            l = mid;
    }
    check(r);
    cout << setprecision(20) << fixed << r * v << '\n';
}

int main() {
#ifndef LOCAL
    ios_base::sync_with_stdio(false);
    cin.tie(nullptr);
#else
    freopen("input.txt", "r", stdin);
#endif
    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: 1ms
memory: 5844kb

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:

38.25000000000000000000
1.23076923076923105960
3000000000000.00000000000000000000

result:

ok 3 numbers

Test #2:

score: 0
Accepted
time: 270ms
memory: 5856kb

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:

145405766328.34912317991256713867
16414958969.72728093061596155167
5202715639.83518452802672982216
321977234.15632585954153910279
45384199210.22168586030602455139
183885744.76923078454274218529
1708925225.23047240858431905508
89786664971.55794420093297958374
13924365606.28738933149725198746
41297532...

result:

ok 10000 numbers

Test #3:

score: 0
Accepted
time: 279ms
memory: 5912kb

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:

189662921.36363636112946551293
197971181.33333334563940297812
997533531.73762975126737728715
6439673170.66574148274958133698
993821598110.66103422641754150391
22727977326.40266354754567146301
34702455207.51851078122854232788
677770533.92981754022184759378
46631726883.96913739666342735291
5446481867....

result:

ok 93 numbers

Test #4:

score: 0
Accepted
time: 317ms
memory: 15132kb

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:

519985220219.81178414821624755859
511413015796.76647937297821044922
424240880533.63401484489440917969
518849481155.50393629074096679688
1882496988186.44420051574707031250

result:

ok 5 numbers

Test #5:

score: 0
Accepted
time: 295ms
memory: 7292kb

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:

89670748252.97860908508300781250
98630840901.50761531293392181396
29393530999.89432692900300025940
50801000770.95598680898547172546
39668001027.26933255419135093689
467846478226.41141831874847412109
30789914370.57431326434016227722
23151476830.90509924851357936859
51606123416.62582990154623985291
15...

result:

ok 38 numbers