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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
#89877#5505. Great Chaseinstallb#AC ✓1097ms8260kbC++14695b2023-03-21 17:58:192023-03-21 17:58:22

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.
  • [2023-03-21 17:58:22]
  • 评测
  • 测评结果:AC
  • 用时:1097ms
  • 内存:8260kb
  • [2023-03-21 17:58:19]
  • 提交

answer

#include <bits/stdc++.h>
using namespace std;
#define M 400005
using ll = long long;
int n,v;
ll P[M];
int V[M];
bool check(double t){
    double mx=-1e20,mi = 1e20;
    for(int i=1;i<=n;i++){
        if(P[i]<0) mx = max(mx,P[i] + V[i]*t);
        else mi = min(mi,P[i] - V[i]*t);
    }
    return mi<mx;
}
int main(){
    int Cas;cin>>Cas;
    while(Cas--){
        scanf("%d%d",&n,&v);
        for(int i=1;i<=n;i++)
            scanf("%lld%d",&P[i],&V[i]);
        double l = 0, r = 2e12,ans=-1;
        for(int _=1;_<=100;_++){
            double mid = (l+r)/2;
            if(check(mid))ans=mid,r=mid;
            else l=mid;
        }
        printf("%.10lf\n",ans*v);
    }
    return 0;
}

详细

Test #1:

score: 100
Accepted
time: 0ms
memory: 5796kb

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
3000000000000.0004882812

result:

ok 3 numbers

Test #2:

score: 0
Accepted
time: 536ms
memory: 3548kb

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
321977234.1563259363
45384199210.2216873169
183885744.7692307830
1708925225.2304725647
89786664971.5579528809
13924365606.2873897552
412975327.5555555820
965508404.5121016502
4703493416.2883768082
352961619.3810438514
5575125771.79...

result:

ok 10000 numbers

Test #3:

score: 0
Accepted
time: 1097ms
memory: 5812kb

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
997533531.7376297712
6439673170.6657419205
993821598110.6610107422
22727977326.4026641846
34702455207.5185089111
677770533.9298175573
46631726883.9691390991
5446481867.1290330887
11336247450.2720794678
4409370840.4391326904
15681606050.5762882233
14986614231...

result:

ok 93 numbers

Test #4:

score: 0
Accepted
time: 714ms
memory: 8260kb

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
511413015796.7665405273
424240880533.6340942383
518849481155.5039672852
1882496988186.4440917969

result:

ok 5 numbers

Test #5:

score: 0
Accepted
time: 1045ms
memory: 6496kb

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
29393530999.8943252563
50801000770.9559860229
39668001027.2693328857
467846478226.4114379883
30789914370.5743141174
23151476830.9050979614
51606123416.6258316040
151713060001.6625976562
100944679009.6092987061
766785664078.3591308594
39969642788.06187438...

result:

ok 38 numbers