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QOJ

ID题目提交者结果用时内存语言文件大小提交时间测评时间
#125413#5505. Great ChaseKKT89AC ✓602ms9668kbC++171.2kb2023-07-16 17:46:302023-07-16 17:46:32

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.
  • [2023-07-16 17:46:32]
  • 评测
  • 测评结果:AC
  • 用时:602ms
  • 内存:9668kb
  • [2023-07-16 17:46:30]
  • 提交

answer

#pragma GCC optimize("Ofast")
#include <bits/stdc++.h>
using namespace std;
typedef long long int ll;
typedef unsigned long long int ull;

mt19937_64 rng(chrono::steady_clock::now().time_since_epoch().count());
ll myRand(ll B) {
    return (ull)rng() % B;
}

int main() {
    cin.tie(nullptr);
    ios::sync_with_stdio(false);
    int q; cin >> q;
    while (q--){
        int n; cin >> n;
        ll V; cin >> V;
        vector<ll> p(n),v(n);
        for (int i = 0; i < n; ++i) {
            cin >> p[i] >> v[i];
        }
        double l = 0, r = 1e12;
        for (int i = 0; i < 100; ++i) {
            double mid = (l+r)/2.0;
            double mx = -1e18;
            double mi = 1e18;
            for (int j = 0; j < n; ++j) {
                if(p[j] > 0){
                    mi = min(mi, -mid*v[j]+p[j]);
                }
                else{
                    mx = max(mx, mid*v[j]+p[j]);
                }
                if(mi <= mx){
                    break;
                }
            }
            if(mi <= mx){
                r = mid;
            }
            else{
                l = mid;
            }
        }
        printf("%.9f\n", r*V);
    }
}

详细

Test #1:

score: 100
Accepted
time: 1ms
memory: 3724kb

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:

38.250000000
1.230769231
3000000000000.000000000

result:

ok 3 numbers

Test #2:

score: 0
Accepted
time: 336ms
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:

145405766328.349121094
16414958969.727281570
5202715639.835184097
321977234.156325877
45384199210.221687317
183885744.769230783
1708925225.230472326
89786664971.557937622
13924365606.287389755
412975327.555555582
965508404.512101650
4703493416.288375854
352961619.381043851
5575125771.798797607
34119...

result:

ok 10000 numbers

Test #3:

score: 0
Accepted
time: 511ms
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:

189662921.363636374
197971181.333333343
997533531.737629771
6439673170.665741920
993821598110.661010742
22727977326.402664185
34702455207.518508911
677770533.929817557
46631726883.969139099
5446481867.129032135
11336247450.272079468
4409370840.439131737
15681606050.576288223
14986614231.546859741
10...

result:

ok 93 numbers

Test #4:

score: 0
Accepted
time: 395ms
memory: 9668kb

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:

519985220219.811767578
511413015796.766479492
424240880533.634033203
518849481155.503906250
1882496988186.444091797

result:

ok 5 numbers

Test #5:

score: 0
Accepted
time: 602ms
memory: 6824kb

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:

89670748252.978607178
98630840901.507614136
29393530999.894325256
50801000770.955986023
39668001027.269332886
467846478226.411437988
30789914370.574314117
23151476830.905097961
51606123416.625831604
151713060001.662597656
100944679009.609283447
766785664078.359008789
39969642788.061874390
6234106593...

result:

ok 38 numbers