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QOJ

IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#560473#8677. Carl’s VacationPhantomThreshold#AC ✓141ms4044kbC++203.4kb2024-09-12 15:51:442024-09-12 15:51:45

Judging History

你现在查看的是最新测评结果

  • [2024-09-12 15:51:45]
  • 评测
  • 测评结果:AC
  • 用时:141ms
  • 内存:4044kb
  • [2024-09-12 15:51:44]
  • 提交

answer

#include <bits/stdc++.h>
using namespace std;

typedef long double db;
const db eps=1e-8;
const db INF=1e18;
int sign(db k){
    if (k>eps) return 1;
    else if (k<-eps) return -1;
    return 0;
}
int cmp(db k1,db k2){return sign(k1-k2);}
int inmid(db k1,db k2,db k3){return sign(k1-k3)*sign(k2-k3)<=0;}

struct point{
    db x,y;
    point operator + (const point &k1) const{return (point){x+k1.x,y+k1.y};}
    point operator - (const point &k1) const{return (point){x-k1.x,y-k1.y};}
    point operator * (db k1) const{return (point){x*k1,y*k1};}
    point operator / (db k1) const{return (point){x/k1,y/k1};}
    point turn90(){
        return (point){-y,x};
    }
    db abs(){
        return hypot(x,y);
    }
    db abs2(){
        return x*x+y*y;
    }
    db dis(point k1){
        return ((*this)-k1).abs();
    }
    friend ostream& operator << (ostream &os,const point &k1){
        os << "(" << k1.x << "," << k1.y << ")";
        return os;
    }
};

int main(){
    ios_base::sync_with_stdio(false);
    point P1,P2,P3,P4;
    db PH;
    point Q1,Q2,Q3,Q4;
    db QH;
    cin >> P1.x >> P1.y >> P2.x >> P2.y >> PH;
    cin >> Q1.x >> Q1.y >> Q2.x >> Q2.y >> QH;

    P3=P2+(P2-P1).turn90();
    P4=P1+(P2-P1).turn90();

    Q3=Q2+(Q2-Q1).turn90();
    Q4=Q1+(Q2-Q1).turn90();

    point PO=(P1+P3)/2;
    point QO=(Q1+Q3)/2;
    
    //cerr << "PO,QO : " << PO << " " << QO << "\n";

    auto calc=[&](point PX,point QX){
        return PX.dis(QX)+hypot(PX.dis(PO),PH)+hypot(QX.dis(QO),QH);
    };

    auto solve2=[&](point PX,point QL,point QR){
        db ans=INF;
        ans=min(ans,calc(PX,QL));
        ans=min(ans,calc(PX,QR));
        db l=0,r=1;
        for (int cc=1;cc<=100;cc++){
            db mid1=(l+l+r)/3;
            db mid2=(l+r+r)/3;
            point Qmid1=QL*(mid1)+QR*(1-mid1);
            point Qmid2=QL*(mid2)+QR*(1-mid2);
            db res1=calc(PX,Qmid1);
            db res2=calc(PX,Qmid2);
            ans=min(ans,res1);
            ans=min(ans,res2);
            if (res1<res2) r=mid2;
            else l=mid1;
        }
        return ans;
    };

    auto solve=[&](point PL,point PR,point QL,point QR){
        db ans=INF;
        ans=min(ans,solve2(PL,QL,QR));
        ans=min(ans,solve2(PR,QL,QR));
        db l=0,r=1;
        for (int cc=1;cc<=100;cc++){
            db mid1=(l+l+r)/3;
            db mid2=(l+r+r)/3;
            point Pmid1=PL*(mid1)+PR*(1-mid1);
            point Pmid2=PL*(mid2)+PR*(1-mid2);
            db res1=solve2(Pmid1,QL,QR);
            db res2=solve2(Pmid2,QL,QR);
            ans=min(ans,res1);
            ans=min(ans,res2);
            if (res1<res2) r=mid2;
            else l=mid1;
        }
        return ans;
    };

    db ans=INF;
    ans=min(ans,solve(P1,P2,Q1,Q2));
    ans=min(ans,solve(P2,P3,Q1,Q2));
    ans=min(ans,solve(P3,P4,Q1,Q2));
    ans=min(ans,solve(P4,P1,Q1,Q2));

    ans=min(ans,solve(P1,P2,Q2,Q3));
    ans=min(ans,solve(P2,P3,Q2,Q3));
    ans=min(ans,solve(P3,P4,Q2,Q3));
    ans=min(ans,solve(P4,P1,Q2,Q3));

    ans=min(ans,solve(P1,P2,Q3,Q4));
    ans=min(ans,solve(P2,P3,Q3,Q4));
    ans=min(ans,solve(P3,P4,Q3,Q4));
    ans=min(ans,solve(P4,P1,Q3,Q4));

    ans=min(ans,solve(P1,P2,Q4,Q1));
    ans=min(ans,solve(P2,P3,Q4,Q1));
    ans=min(ans,solve(P3,P4,Q4,Q1));
    ans=min(ans,solve(P4,P1,Q4,Q1));

    cout << fixed << setprecision(12) << ans << "\n";

    return 0;
}

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 134ms
memory: 3944kb

input:

1 0 0 0 10000
99999 10000 10000 10000 10000

output:

76118.700049220477

result:

ok found '76118.7000492', expected '76118.7000492', error '0.0000000'

Test #2:

score: 0
Accepted
time: 138ms
memory: 3988kb

input:

10000 10000 10000 0 10000
0 0 0 10000 10000

output:

32360.679774997897

result:

ok found '32360.6797750', expected '32360.6797750', error '0.0000000'

Test #3:

score: 0
Accepted
time: 130ms
memory: 4040kb

input:

0 0 100 100 20
0 0 -5 -5 2

output:

107.365555078990

result:

ok found '107.3655551', expected '107.3655551', error '0.0000000'

Test #4:

score: 0
Accepted
time: 126ms
memory: 3888kb

input:

0 0 100 100 20
23 23 18 18 2

output:

88.056757050575

result:

ok found '88.0567571', expected '88.0567571', error '0.0000000'

Test #5:

score: 0
Accepted
time: 130ms
memory: 4044kb

input:

0 0 100 100 20
100 100 105 95 2

output:

107.365555078990

result:

ok found '107.3655551', expected '107.3655551', error '0.0000000'

Test #6:

score: 0
Accepted
time: 132ms
memory: 4032kb

input:

0 0 100 100 20
44 156 49 151 2

output:

77.704520217707

result:

ok found '77.7045202', expected '77.7045202', error '0.0000000'

Test #7:

score: 0
Accepted
time: 131ms
memory: 4036kb

input:

0 0 100 100 20
200 0 205 5 2

output:

224.528035156840

result:

ok found '224.5280352', expected '224.5280352', error '0.0000000'

Test #8:

score: 0
Accepted
time: 130ms
memory: 3884kb

input:

0 0 100 100 20
-29 171 -24 176 2

output:

84.368195798322

result:

ok found '84.3681958', expected '84.3681958', error '0.0000000'

Test #9:

score: 0
Accepted
time: 130ms
memory: 4044kb

input:

0 0 100 100 20
-100 100 -105 105 2

output:

107.365555078990

result:

ok found '107.3655551', expected '107.3655551', error '0.0000000'

Test #10:

score: 0
Accepted
time: 130ms
memory: 4004kb

input:

0 0 100 100 20
-69 69 -74 74 2

output:

83.294612444407

result:

ok found '83.2946124', expected '83.2946124', error '0.0000000'

Test #11:

score: 0
Accepted
time: 141ms
memory: 3936kb

input:

0 0 30 0 20
50 20 80 20 20

output:

72.801098892805

result:

ok found '72.8010989', expected '72.8010989', error '0.0000000'

Test #12:

score: 0
Accepted
time: 133ms
memory: 4000kb

input:

0 0 30 0 20
50 20 80 20 140

output:

186.874948275750

result:

ok found '186.8749483', expected '186.8749483', error '0.0000000'

Test #13:

score: 0
Accepted
time: 134ms
memory: 3880kb

input:

0 0 30 0 140
50 20 80 20 140

output:

302.264953761204

result:

ok found '302.2649538', expected '302.2649538', error '0.0000000'

Test #14:

score: 0
Accepted
time: 133ms
memory: 3924kb

input:

0 0 30 0 500
50 20 80 20 140

output:

661.328793005025

result:

ok found '661.3287930', expected '661.3287930', error '0.0000000'

Test #15:

score: 0
Accepted
time: 134ms
memory: 3960kb

input:

0 0 30 0 500
50 20 80 20 500

output:

1020.645871961388

result:

ok found '1020.6458720', expected '1020.6458720', error '0.0000000'

Test #16:

score: 0
Accepted
time: 133ms
memory: 3948kb

input:

0 0 30 0 500
50 20 80 20 2000

output:

2520.361473746124

result:

ok found '2520.3614737', expected '2520.3614737', error '0.0000000'

Test #17:

score: 0
Accepted
time: 132ms
memory: 3880kb

input:

1137 -1096 229 -599 6253
5792 -405 3433 -9660 2912

output:

16631.267204637920

result:

ok found '16631.2672046', expected '16631.2672046', error '0.0000000'

Test #18:

score: 0
Accepted
time: 134ms
memory: 3988kb

input:

-1458 4365 -759 -5184 408
8891 -5111 2941 -8564 6966

output:

14848.097967205741

result:

ok found '14848.0979672', expected '14848.0979672', error '0.0000000'

Test #19:

score: 0
Accepted
time: 138ms
memory: 3988kb

input:

2289 1693 -2539 850 7414
-4989 3660 8091 2109 6915

output:

18844.470620501716

result:

ok found '18844.4706205', expected '18844.4706205', error '0.0000000'

Test #20:

score: 0
Accepted
time: 135ms
memory: 4000kb

input:

5431 8457 6717 -6624 2204
-5504 -5607 4032 -674 7792

output:

20847.862166811033

result:

ok found '20847.8621668', expected '20847.8621668', error '0.0000000'

Test #21:

score: 0
Accepted
time: 137ms
memory: 3984kb

input:

4274 -9998 -3313 -2647 4590
-792 1334 5701 -8048 3257

output:

16956.483471788338

result:

ok found '16956.4834718', expected '16956.4834718', error '0.0000000'

Test #22:

score: 0
Accepted
time: 129ms
memory: 3928kb

input:

-1563 -4648 1926 -2970 5843
-1600 9113 -1007 5823 7516

output:

19666.620019250375

result:

ok found '19666.6200193', expected '19666.6200193', error '0.0000000'

Test #23:

score: 0
Accepted
time: 135ms
memory: 3988kb

input:

-6957 -1204 -2026 2849 1571
9178 1160 -3263 -6525 9297

output:

22798.269165639986

result:

ok found '22798.2691656', expected '22798.2691656', error '0.0000000'

Test #24:

score: 0
Accepted
time: 138ms
memory: 4028kb

input:

-5254 4877 5836 -1945 4282
8106 -8783 7076 -2291 6168

output:

17820.127104861893

result:

ok found '17820.1271049', expected '17820.1271049', error '0.0000000'

Test #25:

score: 0
Accepted
time: 135ms
memory: 3988kb

input:

2278 -7979 -200 -9432 528
-8604 1343 -5214 2428 8005

output:

22690.415072392276

result:

ok found '22690.4150724', expected '22690.4150724', error '0.0000000'

Test #26:

score: 0
Accepted
time: 138ms
memory: 3860kb

input:

5003 277 737 -3626 2886
3492 4353 -446 5788 2426

output:

10058.391619179330

result:

ok found '10058.3916192', expected '10058.3916192', error '0.0000000'

Test #27:

score: 0
Accepted
time: 134ms
memory: 3960kb

input:

-6582 -2629 -1742 6935 5531
-2010 1455 1794 -3461 9066

output:

20018.375726685733

result:

ok found '20018.3757267', expected '20018.3757267', error '0.0000000'

Test #28:

score: 0
Accepted
time: 133ms
memory: 3788kb

input:

-8174 -1075 -6736 -2685 6615
-2151 4184 -1716 -308 5064

output:

16260.353232222992

result:

ok found '16260.3532322', expected '16260.3532322', error '0.0000000'

Test #29:

score: 0
Accepted
time: 135ms
memory: 3932kb

input:

5291 1243 8982 5204 8450
-1177 -5306 -1390 2460 8858

output:

23316.850058254353

result:

ok found '23316.8500583', expected '23316.8500583', error '0.0000000'

Test #30:

score: 0
Accepted
time: 137ms
memory: 3984kb

input:

-4229 2060 9017 -2659 5812
9887 -9973 5460 -2671 4205

output:

18310.304921593974

result:

ok found '18310.3049216', expected '18310.3049216', error '0.0000000'

Test #31:

score: 0
Accepted
time: 137ms
memory: 4032kb

input:

0 0 8 0 3
0 8 8 8 3

output:

10.000000000000

result:

ok found '10.0000000', expected '10.0000000', error '0.0000000'

Test #32:

score: 0
Accepted
time: 131ms
memory: 4044kb

input:

0 0 8 0 2
8 8 16 8 2

output:

12.000000000000

result:

ok found '12.0000000', expected '12.0000000', error '0.0000000'

Test #33:

score: 0
Accepted
time: 135ms
memory: 4044kb

input:

0 0 8 0 2
10 10 18 10 2

output:

14.828427124746

result:

ok found '14.8284271', expected '14.8284271', error '0.0000000'

Test #34:

score: 0
Accepted
time: 135ms
memory: 4044kb

input:

0 0 8 0 100000
10 10 18 10 100000

output:

200002.828747124746

result:

ok found '200002.8287471', expected '200002.8287471', error '0.0000000'

Test #35:

score: 0
Accepted
time: 130ms
memory: 3856kb

input:

51412 80788 39091 71527 97605
6327 44899 20415 -12571 86627

output:

194757.486833428939

result:

ok found '194757.4868334', expected '194757.4868334', error '0.0000000'

Test #36:

score: 0
Accepted
time: 131ms
memory: 3784kb

input:

-43347 56743 17244 83573 86143
-90081 -3018 -22063 -95528 26489

output:

179973.341845177795

result:

ok found '179973.3418452', expected '179973.3418452', error '0.0000000'

Test #37:

score: 0
Accepted
time: 137ms
memory: 3968kb

input:

88637 -28248 308 -92620 47395
-57673 62668 -66785 923 49207

output:

210116.821817332454

result:

ok found '210116.8218173', expected '210116.8218173', error '0.0000000'

Test #38:

score: 0
Accepted
time: 137ms
memory: 3948kb

input:

59768 12643 57116 -71451 64957
-43638 42191 -37837 9851 1875

output:

171578.651505342093

result:

ok found '171578.6515053', expected '171578.6515053', error '0.0000000'

Test #39:

score: 0
Accepted
time: 139ms
memory: 3856kb

input:

-46206 -30845 -28470 3652 33497
74620 -92045 75046 -19320 48537

output:

147174.131714614666

result:

ok found '147174.1317146', expected '147174.1317146', error '0.0000000'

Test #40:

score: 0
Accepted
time: 134ms
memory: 3948kb

input:

65899 65734 27624 70256 81635
-97389 -56422 -91684 -53179 88643

output:

317109.421796759350

result:

ok found '317109.4217968', expected '317109.4217968', error '0.0000000'

Test #41:

score: 0
Accepted
time: 131ms
memory: 4032kb

input:

-25117 -50391 569 -34721 73972
-90107 -83510 -46359 -95477 83257

output:

174084.670254181905

result:

ok found '174084.6702542', expected '174084.6702542', error '0.0000000'

Test #42:

score: 0
Accepted
time: 129ms
memory: 3904kb

input:

6832 -56636 7968 -59867 82961
6289 -49692 -56413 -38910 90946

output:

184208.611887531515

result:

ok found '184208.6118875', expected '184208.6118875', error '0.0000000'

Test #43:

score: 0
Accepted
time: 138ms
memory: 4036kb

input:

-100000 -100000 -100000 100000 100000
100000 100000 100000 -100000 100000

output:

482842.712474619010

result:

ok found '482842.7124746', expected '482842.7124746', error '0.0000000'

Test #44:

score: 0
Accepted
time: 137ms
memory: 3988kb

input:

-79878 -52149 -90171 -65032 95613
-22921 39940 69440 26987 94207

output:

319596.971757630213

result:

ok found '319596.9717576', expected '319596.9717576', error '0.0000000'

Extra Test:

score: 0
Extra Test Passed