QOJ.ac

QOJ

IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#105272#5505. Great ChaseTime7#AC ✓3452ms15796kbC++171.3kb2023-05-13 20:26:582023-05-13 20:27:01

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.
  • [2023-05-13 20:27:01]
  • 评测
  • 测评结果:AC
  • 用时:3452ms
  • 内存:15796kb
  • [2023-05-13 20:26:58]
  • 提交

answer

#include "bits/stdc++.h"

using namespace std;
using lint = int64_t;

int main() {
    cin.tie(nullptr)->sync_with_stdio(false);
    int t; cin>>t;
    while(t--){
        int n; cin>>n;
        using ld = long double;
        ld v; cin>>v;
        vector<pair<ld, ld>> pl, pr;
        pl.reserve(n);
        pr.reserve(n);
        for(int i =0; i<n; i++){
            ld p, v;
            cin>>p>>v;
            if(p < 0)
                pl.push_back({p, v});
            else
                pr.push_back({p, v});
        }
        ld left = 0, right = 3000000000005;
        int it = 500;
        while(it--){
            ld m = (left + right) / 2;
            ld maxil = -1e12l;
            ld minr = 1e12l;
           // cout<<"mid "<<m<<"\n";
            for(const auto &[p, v] : pl){
                maxil = max<ld>(maxil, p + m * v);
                //cout<<p + m * v<<" ";
            }
           // cout<<" ||| ";
            for(const auto &[p, v] : pr){
                minr = min<ld>(minr, p - m * v);

                //cout<<p - m * v<<" ";
            }
           // cout<<"\n";
            if(maxil < minr) left = m;
            else right = m;
        }
        cout<<fixed<<setprecision(20)<<left*v<<"\n";
    }
    return 0;
}

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 2ms
memory: 3620kb

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:

38.24999999999999999653
1.23076923076923076914
2999999999999.99999976158142089844

result:

ok 3 numbers

Test #2:

score: 0
Accepted
time: 2967ms
memory: 3812kb

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:

145405766328.34911002218723297119
16414958969.72728119045495986938
5202715639.83518389984965324402
321977234.15632586894207634032
45384199210.22168397158384323120
183885744.76923076921957544982
1708925225.23047235782723873854
89786664971.55794262886047363281
13924365606.28738879412412643433
41297532...

result:

ok 10000 numbers

Test #3:

score: 0
Accepted
time: 3367ms
memory: 5164kb

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:

189662921.36363636363239493221
197971181.33333333332848269492
997533531.73762959236046299338
6439673170.66574178449809551239
993821598110.66107779741287231445
22727977326.40266098640859127045
34702455207.51850402727723121643
677770533.92981749866157770157
46631726883.96913323178887367249
5446481867....

result:

ok 93 numbers

Test #4:

score: 0
Accepted
time: 3452ms
memory: 15796kb

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:

519985220219.81177088618278503418
511413015796.76647534966468811035
424240880533.63402029871940612793
518849481155.50391876697540283203
1882496988186.44399988651275634766

result:

ok 5 numbers

Test #5:

score: 0
Accepted
time: 3382ms
memory: 11452kb

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:

89670748252.97860801219940185547
98630840901.50760695338249206543
29393530999.89432778768241405487
50801000770.95598541945219039917
39668001027.26933133974671363831
467846478226.41137081384658813477
30789914370.57431161217391490936
23151476830.90509843267500400543
51606123416.62582759186625480652
15...

result:

ok 38 numbers