QOJ.ac

QOJ

IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#105094#5505. Great ChasekingstonduyAC ✓798ms18304kbC++141.8kb2023-05-12 22:59:352023-05-12 22:59:40

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.
  • [2023-05-12 22:59:40]
  • 评测
  • 测评结果:AC
  • 用时:798ms
  • 内存:18304kb
  • [2023-05-12 22:59:35]
  • 提交

answer

#include <bits/stdc++.h>

using namespace std;

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

typedef pair<int, int> pii;
typedef vector<int> vi;


const int inf = (int)1e18;

double updatePos(double t, vector<pair<int, double>>& cops, int flag) {
    double pos = DBL_MAX;
    for (auto& i : cops) {
        if (pos > (i.second + i.first * t) * flag) {
            pos = (i.second + i.first * t) * flag;
        }
    }

    return pos;
}


double BinSearch(double l, double r, vector<pair<int, double>>& pos, vector<pair<int, double>>& neg) {
    double mid;
    int cnt= 100;
    while (cnt--) {
        mid = (l + r) / 2.0;
        double posL = -1 * updatePos(mid, neg, -1);
        double posR = updatePos(mid, pos, 1);
        if (posR - posL < 0) {
            r = mid ;
        } else {
            l = mid;
        }
    }
    return mid;
}



signed main() {
    ios::sync_with_stdio(false); cin.tie(nullptr);
    cin.exceptions(std::istream::failbit);
    // freopen("../input.txt", "r", stdin);
    //freopen("output.txt", "w", stdout);


    int t;
    cin >> t;
    while (t--) {
        int n, v;
        cin >> n >> v;
        vector<pair<int, double>> pos;
        vector<pair<int, double>> neg;
        double p;
        int vel;
        double dis = 0;
        for (int i = 0; i < n; i++) {

            cin >> p >> vel;
            dis = max(dis, abs(p));
            if (p > 0) {
                pos.push_back({ -vel, p });
            } else {
                neg.push_back({ vel, p });
            }
        }

        p = 0;

        double t = BinSearch(0, dis, pos, neg);


        cout << fixed << setprecision(10) << t * v << '\n';

    }


}

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 2ms
memory: 3544kb

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: 701ms
memory: 3648kb

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
16414958969.7272777557
5202715639.8351840973
321977234.1563259363
45384199210.2216873169
183885744.7692307830
1708925225.2304725647
89786664971.5579528809
13924365606.2873897552
412975327.5555555820
965508404.5121016502
4703493416.2883768082
352961619.3810438514
5575125771.79...

result:

ok 10000 numbers

Test #3:

score: 0
Accepted
time: 798ms
memory: 4308kb

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
197971181.3333333135
997533531.7376295328
6439673170.6657419205
993821598110.6610107422
22727977326.4026603699
34702455207.5185089111
677770533.9298175573
46631726883.9691390991
5446481867.1290330887
11336247450.2720794678
4409370840.4391326904
15681606050.5762882233
14986614231...

result:

ok 93 numbers

Test #4:

score: 0
Accepted
time: 782ms
memory: 18304kb

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
511413015796.7665405273
424240880533.6340942383
518849481155.5039672852
1882496988186.4440917969

result:

ok 5 numbers

Test #5:

score: 0
Accepted
time: 797ms
memory: 8536kb

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:

89670748252.9785919189
98630840901.5076141357
29393530999.8943252563
50801000770.9559860229
39668001027.2693328857
467846478226.4114379883
30789914370.5743141174
23151476830.9050979614
51606123416.6258239746
151713060001.6625671387
100944679009.6092834473
766785664078.3590087891
39969642788.06187438...

result:

ok 38 numbers