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QOJ

IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#546483#5505. Great ChaseFika#AC ✓1577ms18748kbC++141.2kb2024-09-04 04:25:512024-09-04 04:25:52

Judging History

你现在查看的是最新测评结果

  • [2024-09-04 04:25:52]
  • 评测
  • 测评结果:AC
  • 用时:1577ms
  • 内存:18748kb
  • [2024-09-04 04:25:51]
  • 提交

answer

#include<bits/stdc++.h>

#pragma GCC optimize ("Ofast")

using namespace std;

#define rep(i,a,b) for(ll i = a; i<b;i++)
#define rrep(i,a,b) for(ll i = b-1; i>=a;i--)
#define trav(x,a) for(auto &x: a)
#define all(v) v.begin(),v.end()
#define sz(v) ll(v.size())

typedef long long ll;
typedef vector<ll> vl;
typedef pair<ll,ll> pll;
typedef double ld;

void solve(){
    ll n;
    ld v;
    cin>>n>>v;

    vector<pair<ld,ld>> slopes;
    rep(i,0,n) {
        ld p,vp;
        cin>>p>>vp;
        if(p<0){
            slopes.emplace_back(p,vp);
        } else {
            slopes.emplace_back(p,-vp);
        }
    }
    
    ld lw=0,hi=1e13;
    
    rep(_,0,100){
        ld mid = (lw+hi)/2;
        ld l = -1e18;
        ld r = 1e18;

        for(auto [k,m]:slopes){
            if(k<0){
                l = max(l, k+m*mid);
            } else {
                r = min(r, k+m*mid);
            }
        }

        if(l<r){
            lw = mid;
        } else {
            hi = mid;
        }
    }

    cout<<setprecision(18)<<fixed<<((lw+hi)/2)*v<<"\n";
}

int main(){
    cin.tie(0);
    ios_base::sync_with_stdio(0);

    ll t; cin>>t;
    while(t--) solve();
}

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 0ms
memory: 3912kb

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:

38.250000000000000000
1.230769230769230838
3000000000000.000000000000000000

result:

ok 3 numbers

Test #2:

score: 0
Accepted
time: 951ms
memory: 4072kb

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:

145405766328.349121093750000000
16414958969.727277755737304688
5202715639.835184097290039062
321977234.156325817108154297
45384199210.221687316894531250
183885744.769230782985687256
1708925225.230472087860107422
89786664971.557922363281250000
13924365606.287389755249023438
412975327.5555555820465087...

result:

ok 10000 numbers

Test #3:

score: 0
Accepted
time: 1577ms
memory: 4528kb

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:

189662921.363636344671249390
197971181.333333313465118408
997533531.737629532814025879
6439673170.665741920471191406
993821598110.661010742187500000
22727977326.402660369873046875
34702455207.518508911132812500
677770533.929817557334899902
46631726883.969139099121093750
5446481867.129031181335449219...

result:

ok 93 numbers

Test #4:

score: 0
Accepted
time: 1343ms
memory: 18748kb

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:

519985220219.811767578125000000
511413015796.766418457031250000
424240880533.633972167968750000
518849481155.503906250000000000
1882496988186.444091796875000000

result:

ok 5 numbers

Test #5:

score: 0
Accepted
time: 1466ms
memory: 10820kb

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:

89670748252.978591918945312500
98630840901.507614135742187500
29393530999.894325256347656250
50801000770.955986022949218750
39668001027.269332885742187500
467846478226.411437988281250000
30789914370.574314117431640625
23151476830.905097961425781250
51606123416.625823974609375000
151713060001.6625671...

result:

ok 38 numbers