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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
#105059#5505. Great ChasekingstonduyAC ✓1118ms9876kbC++231.6kb2023-05-12 21:30:142023-05-12 21:30:16

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 21:30:16]
  • 评测
  • 测评结果:AC
  • 用时:1118ms
  • 内存:9876kb
  • [2023-05-12 21:30:14]
  • 提交

answer

#include<bits/stdc++.h>
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>

#define openr() freopen("input.txt","r",stdin)
#define openw() freopen("output.txt","w",stdout)
#define mp make_pair
#define fi first
#define se second
#define int long long int


using namespace std;
using namespace __gnu_pbds;
template <typename T>
using ordered_set=tree<T,null_type,less<T>,rb_tree_tag,tree_order_statistics_node_update>;

const long double inf=1e12;
const int mod= 1000000007;


void show()
{
    long double n,v;    cin>>n>>v;
    vector<pair<int, int>>a(n);
    for(int i=0;i<n;i++)
    {
        cin>>a[i].fi>>a[i].se;
    }
    sort(a.begin(), a.end());
    long double r= 1e12;
    long double l=0;
    long double res= 0;
    long double thres_hold= 0.000000001;
    int cnt=100;
    while(cnt-- ){

        long double temp= l+r;
        long double mid= (l+r)/2.0;
        long double ls=-inf;
        long double rs= inf;
        for(int i=0;i<n;i++)
        {
            // fi pos
            // se vel
            int dis= a[i].se * mid;
            if(a[i].fi < 0) ls= max(ls, a[i].fi + a[i].se * mid);
            else rs= min(rs, a[i].fi - a[i].se * mid);
        }
        if(ls <= rs )
        {
            // tang time
            res= max(res, mid);
            l= mid;
        }
        else    {
            r= mid;
        }
    }
    double output= res*v;
    cout<<fixed<<setprecision(10)<<output;
}

int32_t main()
{
    ios::sync_with_stdio(0);
    cin.tie(0);
    int tc; cin>>tc;
    while(tc--)
    {
        show();
        cout<<"\n";
    }
    return 0;
}

详细

Test #1:

score: 100
Accepted
time: 2ms
memory: 3712kb

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: 889ms
memory: 3760kb

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
16414958969.7272815704
5202715639.8351840973
321977234.1563258767
45384199210.2216873169
183885744.7692307830
1708925225.2304723263
89786664971.5579376221
13924365606.2873878479
412975327.5555555820
965508404.5121015310
4703493416.2883768082
352961619.3810437918
5575125771.79...

result:

ok 10000 numbers

Test #3:

score: 0
Accepted
time: 1101ms
memory: 4168kb

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
197971181.3333333433
997533531.7376295328
6439673170.6657419205
993821598110.6611328125
22727977326.4026603699
34702455207.5185012817
677770533.9298175573
46631726883.9691314697
5446481867.1290321350
11336247450.2720794678
4409370840.4391317368
15681606050.5762863159
14986614231...

result:

ok 93 numbers

Test #4:

score: 0
Accepted
time: 1118ms
memory: 9876kb

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
511413015796.7664794922
424240880533.6340332031
518849481155.5039062500
1882496988186.4440917969

result:

ok 5 numbers

Test #5:

score: 0
Accepted
time: 1110ms
memory: 8220kb

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:

89670748252.9786071777
98630840901.5076141357
29393530999.8943290710
50801000770.9559860229
39668001027.2693328857
467846478226.4113769531
30789914370.5743103027
23151476830.9050979614
51606123416.6258239746
151713060001.6625976562
100944679009.6092834473
766785664078.3590087891
39969642788.06186676...

result:

ok 38 numbers