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QOJ

IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#154740#5505. Great Chaseberarchegas#AC ✓1173ms35144kbC++171.3kb2023-08-31 21:39:122023-08-31 21:39:12

Judging History

你现在查看的是最新测评结果

  • [2023-08-31 21:39:12]
  • 评测
  • 测评结果:AC
  • 用时:1173ms
  • 内存:35144kb
  • [2023-08-31 21:39:12]
  • 提交

answer

#include <bits/stdc++.h>
 
using namespace std;
using ll = long long;
using pii = pair<int, int>;
using pll = pair<ll, ll>;
using ld = long double;
using pld = pair<ld, ld>;

mt19937 rng((int) chrono::steady_clock::now().time_since_epoch().count());
    
const int MOD = 1e9 + 7;
const int MAXN = 4e5 + 5;
const ll INF = 2e12;

int main() {
    ios::sync_with_stdio(false);
    cin.tie(0);
    cout << fixed << setprecision(15);
    int t;
    cin >> t;
    while(t--) {
        int n;
        ll vl;
        cin >> n >> vl;
        vector <pld> pos, neg;
        ld mx = 0;
        for(int i = 1; i <= n; i++) {
            ld p, v;
            cin >> p >> v;
            mx = max(mx, v);
            if(p < 0) neg.push_back({p, v});
            else pos.push_back({p, v});
        }
        ld ini = 0, fim = INF;
        for(int i = 0; i < 120; i++) {
            ld m = (ini + fim) / 2;
            ld mx = -INF, mn = INF;
            for(auto cur : neg) {
                mx = max(mx, cur.first + cur.second * m);
            }
            for(auto cur : pos) {
                mn = min(mn, cur.first - cur.second * m);
            }
            if(mx >= mn) fim = m;
            else ini = m;
        }
        cout << ini * vl << '\n';
    }
    return 0;
}

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 0ms
memory: 3676kb

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:

38.250000000000000
1.230769230769231
2999999999999.999999761581421

result:

ok 3 numbers

Test #2:

score: 0
Accepted
time: 954ms
memory: 3808kb

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:

145405766328.349110022187233
16414958969.727281190454960
5202715639.835183899849653
321977234.156325868942076
45384199210.221683971583843
183885744.769230769219575
1708925225.230472357827239
89786664971.557942628860474
13924365606.287388794124126
412975327.555555555532919
965508404.512101492495276
4...

result:

ok 10000 numbers

Test #3:

score: 0
Accepted
time: 1173ms
memory: 5336kb

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:

189662921.363636363632395
197971181.333333333328483
997533531.737629592360463
6439673170.665741784498096
993821598110.661077797412872
22727977326.402660986408591
34702455207.518504027277231
677770533.929817498661578
46631726883.969133231788874
5446481867.129032257944345
11336247450.272078593261540
4...

result:

ok 93 numbers

Test #4:

score: 0
Accepted
time: 1136ms
memory: 35144kb

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:

519985220219.811770886182785
511413015796.766475349664688
424240880533.634020298719406
518849481155.503918766975403
1882496988186.443999886512756

result:

ok 5 numbers

Test #5:

score: 0
Accepted
time: 1162ms
memory: 14628kb

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:

89670748252.978608012199402
98630840901.507606953382492
29393530999.894327787682414
50801000770.955985419452190
39668001027.269331339746714
467846478226.411370813846588
30789914370.574311612173915
23151476830.905098432675004
51606123416.625827591866255
151713060001.662588909268379
100944679009.60928...

result:

ok 38 numbers