QOJ.ac

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
#105735#5505. Great ChaseLeticiaFCSAC ✓1053ms19260kbC++201.2kb2023-05-15 09:46:282023-05-15 09:46:31

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.
  • [2023-05-15 09:46:31]
  • 评测
  • 测评结果:AC
  • 用时:1053ms
  • 内存:19260kb
  • [2023-05-15 09:46:28]
  • 提交

answer

#include"bits/stdc++.h"

using lint = int64_t;

constexpr int MOD = int(1e9) + 7;
constexpr int INF = 0x63636363;
constexpr int NINF = 0xcfcfcfcf;
constexpr lint LINF = 0x6363636363636363;

using namespace std;

using ld = double;
void solve(){
    int n; cin>>n;
    ld ini_v;
    cin>>ini_v;
    vector<pair<ld, ld>> left, right;
    for(int i =0; i<n; i++){
        ld p, v;
        cin>>p>>v;
        if(p < 0) left.emplace_back(p, v);
        else right.emplace_back(p, v);
    }
    ld lo = 0, hi = 3000000000001;
    for(int it = 300; it--; ){
        ld mid = (lo + hi) / 2;
        ld min_right = 3000000000001;
        ld max_left = -3000000000001;
        for(auto [p, v]: left){
            ld cur_p = p + v * mid;
            max_left = max(max_left, cur_p);
        }
        for(auto [p, v]: right){
            ld cur_p = p - v * mid;
            min_right = min(min_right, cur_p);
        }
        if(min_right < max_left) hi = mid;
        else lo = mid;
    }
    cout<<fixed<<setprecision(20)<<hi * ini_v<<"\n";
}   

int main(){
    cin.tie(nullptr)->sync_with_stdio(false);
    int t; cin>>t;
    while(t--){
        solve();
    }
    return 0;
}

详细

Test #1:

score: 100
Accepted
time: 2ms
memory: 3748kb

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:

38.25000000000000710543
1.23076923076923083755
3000000000000.00048828125000000000

result:

ok 3 numbers

Test #2:

score: 0
Accepted
time: 932ms
memory: 3528kb

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:

145405766328.34912109375000000000
16414958969.72728157043457031250
5202715639.83518409729003906250
321977234.15632593631744384766
45384199210.22168731689453125000
183885744.76923078298568725586
1708925225.23047256469726562500
89786664971.55795288085937500000
13924365606.28738975524902343750
41297532...

result:

ok 10000 numbers

Test #3:

score: 0
Accepted
time: 863ms
memory: 4292kb

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:

189662921.36363637447357177734
197971181.33333334326744079590
997533531.73762977123260498047
6439673170.66574192047119140625
993821598110.66101074218750000000
22727977326.40266418457031250000
34702455207.51850891113281250000
677770533.92981755733489990234
46631726883.96913909912109375000
5446481867....

result:

ok 93 numbers

Test #4:

score: 0
Accepted
time: 1053ms
memory: 19260kb

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:

519985220219.81176757812500000000
511413015796.76654052734375000000
424240880533.63409423828125000000
518849481155.50396728515625000000
1882496988186.44409179687500000000

result:

ok 5 numbers

Test #5:

score: 0
Accepted
time: 1053ms
memory: 8468kb

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:

89670748252.97860717773437500000
98630840901.50761413574218750000
29393530999.89432525634765625000
50801000770.95598602294921875000
39668001027.26933288574218750000
467846478226.41143798828125000000
30789914370.57431411743164062500
23151476830.90509796142578125000
51606123416.62583160400390625000
15...

result:

ok 38 numbers