QOJ.ac

QOJ

IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#145852#5505. Great ChaseTJ_AndevikingAC ✓1241ms20144kbC++201.8kb2023-08-22 14:44:332023-08-22 14:44:35

Judging History

你现在查看的是最新测评结果

  • [2023-08-22 14:44:35]
  • 评测
  • 测评结果:AC
  • 用时:1241ms
  • 内存:20144kb
  • [2023-08-22 14:44:33]
  • 提交

answer

#pragma GCC optimize(2)
#include<bits/stdc++.h>
using namespace std;
typedef long long ll;
typedef __int128_t int128;
typedef pair<int, int> pii;
#define iofast ios::sync_with_stdio(false),cin.tie(0),cout.tie(0)
#define lowbit(x) (x&(-x))
#define inv(x) qpow(x,mod-2)
#define debug(x) cout << (#x) << " = " << x << endl
#define range(x) (x).begin(), (x).end()

const int iINF = 0x3f3f3f3f;
const ll llINF = 0x3f3f3f3f3f3f3f3f;
const ll mod = 998244353;

/*---------------------------------------*/

void solve()
{
    int n, v;
    cin >> n >> v;

    vector<pair<ll, ll>>p[2];
    for (int i = 1;i <= n;i++) {
        ll a, b;
        cin >> a >> b;
        if (a > 0)
            p[0].emplace_back(a, b);
        else
            p[1].emplace_back(a, b);
    }
    // cout << p[0].size() << '\n';
    long double l = 0, r = 1e13;
    for (int cnt = 1;cnt <= 200;++cnt) {
        long double mid = (l + r) / 2;
        long double pl = 1e28, pr = -1e28;
        for (const auto& [x, y] : p[0])
            if (pl - x + mid * y >= -1E-18L)
                pl = x - mid * y;
        for (const auto& [x, y] : p[1])
            if (x + mid * y - pr >= -1E-18L)
                pr = x + mid * y;

        if (pr - pl >= -1E-18L)
            r = mid;
        else
            l = mid;
    }

    // printf("%.15LF\n", v * l) << '\n';
    // cout << p[0][0].first - l * p[0][0].second << '\n';
    cout << fixed << setprecision(15) << v * l << '\n';
    // cout << setprecision(15) << (1.230769230769231L - 1.23076923L) / 1.23076923L - 1e-8L << '\n';

}

/*---------------------------------------*/

int main()
{
    iofast;
    int t = 1;
    cin >> t;
    // cout << "38.25\n1.23076923\n3000000000000";
    while (t--)
        solve();

    return 0;
}

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 1ms
memory: 3780kb

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: 1097ms
memory: 3852kb

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: 1210ms
memory: 4432kb

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: 1241ms
memory: 20144kb

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: 1206ms
memory: 8728kb

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