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QOJ

IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#390037#5106. Islands from the Sky0_GB_RAM#AC ✓1896ms4692kbC++233.9kb2024-04-15 00:42:502024-04-15 00:42:50

Judging History

你现在查看的是最新测评结果

  • [2024-04-15 00:42:50]
  • 评测
  • 测评结果:AC
  • 用时:1896ms
  • 内存:4692kb
  • [2024-04-15 00:42:50]
  • 提交

answer

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

using ll=long long;
#define int ll
#define rep(i,a,b) for(int i=a;i<(b);++i)
#define all(x) begin(x),end(x)
#define sz(x) (int)((x).size())
using pii=pair<int,int>;
using vi=vector<int>;
#define fi first
#define se second
#define pb push_back

const int N=110;

vector<pii> polys[N];
pair<array<int,3>,array<int,3>> paths[N];
bool okok[N][N],ok[N];

bool small(pair<double,double> a,pair<double,double> b,pair<double,double> c)
{
    a.fi-=b.fi;
    a.se-=b.se;
    c.fi-=b.fi;
    c.se-=b.se;
    return a.fi*c.se-a.se*c.fi>=0;
}

signed main() {
	cin.tie(0)->sync_with_stdio(0);
    cin.exceptions(cin.failbit);

    int n,m;
    cin>>n>>m;
    for(int i=1;i<=n;i++)
    {
        int k;
        cin>>k;
        polys[i].resize(k);
        for(auto&[x,y]:polys[i])
            cin>>x>>y;
    }
    for(int i=1;i<=m;i++)
        cin>>paths[i].fi[0]>>paths[i].fi[1]>>paths[i].fi[2]>>paths[i].se[0]>>paths[i].se[1]>>paths[i].se[2];

    {
        for(int i=1;i<=m;i++)
        {
            auto[p1,p2]=paths[i];
            auto[x1,y1,z1]=p1;
            auto[x2,y2,z2]=p2;
            int a=x2-x1;
            int b=y2-y1;
            int val1=a*x1+b*y1;
            int val2=a*x2+b*y2;
            if(val1>val2)
                swap(val1,val2);

            auto check=[&](pii p)
            {
                int val=a*p.fi+b*p.se;
                return val1<=val&&val<=val2;
            };

            for(int j=1;j<=n;j++)
            {
                bool cur=true;
                for(auto p:polys[j])
                    if(!check(p))
                    {
                        cur=false;
                        break;
                    }
                if(cur)
                    okok[j][i]=true;
            }
        }

        for(int j=1;j<=n;j++) {
            bool curokok=false;
            for(int i=1;i<=m;i++)
                if(okok[j][i])
                    curokok=true;
            if (!curokok)
                cout<<"impossible",exit(0);
        }
    }
    double lo=0,hi=M_PI;
//    lo=hi=48.031693036*M_PI/180;
    bool pos=false;
    while(clock()*1.0/CLOCKS_PER_SEC<1.9)
    {
        double mi=(lo+hi)/2;
        for(int i=1;i<=n;i++)
            ok[i]=false;
        for(int i=1;i<=m;i++)
        {
            auto[p1,p2]=paths[i];
            auto[x1,y1,z1]=p1;
            auto[x2,y2,z2]=p2;
            double a=y2-y1;
            double b=x1-x2;
            double s=sqrt((ll)a*a+(ll)b*b);
            a/=s;
            b/=s;

            double d1=z1*tan(mi);
            pair q1(x1+a*d1,y1+b*d1);
            pair q2(x1-a*d1,y1-b*d1);

            double d2=z2*tan(mi);
            pair q3(x2-a*d2,y2-b*d2);
            pair q4(x2+a*d2,y2+b*d2);

//            cout<<q1.fi<<" "<<q1.se<<"\n";
//            cout<<q2.fi<<" "<<q2.se<<"\n";
//            cout<<q3.fi<<" "<<q3.se<<"\n";
//            cout<<q4.fi<<" "<<q4.se<<"\n";
//            cout<<"\n";

            auto check=[&](pii p)
            {
                return small(q1,q4,p) == small(q1,q4, {p1[0],p1[1]}) && small(q2,q3,p) == small(q2,q3, {p1[0],p1[1]});
            };

            for(int j=1;j<=n;j++)
                if(okok[j][i]&&!ok[j])
                {
                    bool cur=true;
                    for(auto p:polys[j])
                        if(!check(p))
                        {
                            cur=false;
                            break;
                        }
                    if(cur)
                        ok[j]=true;
                }
        }

        bool ans=true;
        for(int j=1;j<=n;j++)
            if(!ok[j])
            {
                ans=false;
                break;
            }
        if(ans)
            pos=true;
        (ans?hi:lo)=mi;
    }
//    if(!pos) cout<<"fegrt"; else
    cout<<fixed<<setprecision(10)<<(lo+hi)/2*180/M_PI;
}

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 879ms
memory: 4452kb

input:

1 1
3
-5 0
5 0
0 5
-10 10 10 10 10 10

output:

45.0000000000

result:

ok 

Test #2:

score: 0
Accepted
time: 904ms
memory: 4556kb

input:

1 1
3
-5 0
5 0
0 5
-10 0 10 10 0 10

output:

26.5650511771

result:

ok 

Test #3:

score: 0
Accepted
time: 1212ms
memory: 4392kb

input:

1 1
3
-5 0
5 0
0 5
0 10 10 10 0 10

output:

46.6861433417

result:

ok 

Test #4:

score: 0
Accepted
time: 958ms
memory: 4188kb

input:

1 1
3
-5 0
5 0
0 5
0 10 5 10 0 10

output:

59.4910411338

result:

ok 

Test #5:

score: 0
Accepted
time: 908ms
memory: 4424kb

input:

1 1
3
-5 0
5 0
0 5
0 10 20 -10 0 10

output:

31.2196984474

result:

ok 

Test #6:

score: 0
Accepted
time: 1137ms
memory: 4516kb

input:

1 3
3
-5 0
5 0
0 5
-10 0 25 10 0 20
-5 10 10 10 -5 20
-4 1 100 5 10 100

output:

12.5288077092

result:

ok 

Test #7:

score: 0
Accepted
time: 1020ms
memory: 4456kb

input:

1 2
4
0 0
20 0
20 40
0 40
-10 30 30 30 30 30
-10 10 30 30 10 30

output:

45.0000000000

result:

ok 

Test #8:

score: 0
Accepted
time: 1252ms
memory: 4444kb

input:

1 4
4
0 0
20 0
20 40
0 40
-10 30 30 30 30 30
-10 20 30 30 20 30
-10 10 30 30 10 30
10 -10 30 10 50 30

output:

18.4349488229

result:

ok 

Test #9:

score: 0
Accepted
time: 0ms
memory: 3764kb

input:

1 2
4
0 0
40 0
40 40
0 40
10 10 10 20 20 20
30 10 10 10 30 20

output:

impossible

result:

ok 

Test #10:

score: 0
Accepted
time: 0ms
memory: 3688kb

input:

1 3
4
0 0
20 0
20 40
0 40
-10 30 30 15 30 30
5 30 30 30 30 30
1 50 30 21 50 30

output:

impossible

result:

ok 

Test #11:

score: 0
Accepted
time: 942ms
memory: 4376kb

input:

1 1
4
0 0
40 0
40 40
0 40
-100 -100 20 100 100 10

output:

63.6657521531

result:

ok 

Test #12:

score: 0
Accepted
time: 1113ms
memory: 4536kb

input:

1 4
4
-10 -10
10 -10
10 10
-10 10
-100 0 10 100 0 10
0 100 10 0 -100 10
50 50 15 -50 -50 15
-50 50 15 50 -50 15

output:

43.3138566583

result:

ok 

Test #13:

score: 0
Accepted
time: 1836ms
memory: 4284kb

input:

1 100
100
822286 0
856789 53904
986567 124632
629039 119995
732157 187986
691605 224716
728650 288493
591087 278144
801573 440668
425257 269876
614456 446428
424157 350893
645680 606334
406524 432904
545628 659551
359831 495265
367048 578376
251435 457360
319990 680014
336526 849968
214009 658652
23...

output:

53.7906384311

result:

ok 

Test #14:

score: 0
Accepted
time: 1ms
memory: 3828kb

input:

100 1
100
461002 481444
460618 481480
460584 481512
460833 481595
460670 481605
460545 481607
460942 481801
460526 481672
460912 481923
460765 481903
460505 481781
460430 481766
460589 481959
460593 482032
460477 481972
460440 481994
460510 482183
460285 481888
460387 482179
460246 481963
460303 482...

output:

impossible

result:

ok 

Test #15:

score: 0
Accepted
time: 1891ms
memory: 4680kb

input:

100 1
100
461002 481444
460618 481480
460584 481512
460833 481595
460670 481605
460545 481607
460942 481801
460526 481672
460912 481923
460765 481903
460505 481781
460430 481766
460589 481959
460593 482032
460477 481972
460440 481994
460510 482183
460285 481888
460387 482179
460246 481963
460303 482...

output:

33.6907956097

result:

ok 

Test #16:

score: 0
Accepted
time: 1896ms
memory: 4520kb

input:

100 1
100
461002 481444
460618 481480
460584 481512
460833 481595
460670 481605
460545 481607
460942 481801
460526 481672
460912 481923
460765 481903
460505 481781
460430 481766
460589 481959
460593 482032
460477 481972
460440 481994
460510 482183
460285 481888
460387 482179
460246 481963
460303 482...

output:

66.4027966421

result:

ok 

Test #17:

score: 0
Accepted
time: 1892ms
memory: 4692kb

input:

100 100
100
461002 481444
460618 481480
460584 481512
460833 481595
460670 481605
460545 481607
460942 481801
460526 481672
460912 481923
460765 481903
460505 481781
460430 481766
460589 481959
460593 482032
460477 481972
460440 481994
460510 482183
460285 481888
460387 482179
460246 481963
460303 4...

output:

4.1890016471

result:

ok 

Test #18:

score: 0
Accepted
time: 1888ms
memory: 4584kb

input:

100 11
100
461002 481444
460618 481480
460584 481512
460833 481595
460670 481605
460545 481607
460942 481801
460526 481672
460912 481923
460765 481903
460505 481781
460430 481766
460589 481959
460593 482032
460477 481972
460440 481994
460510 482183
460285 481888
460387 482179
460246 481963
460303 48...

output:

32.4119284772

result:

ok 

Test #19:

score: 0
Accepted
time: 1892ms
memory: 4692kb

input:

100 90
100
461002 481444
460618 481480
460584 481512
460833 481595
460670 481605
460545 481607
460942 481801
460526 481672
460912 481923
460765 481903
460505 481781
460430 481766
460589 481959
460593 482032
460477 481972
460440 481994
460510 482183
460285 481888
460387 482179
460246 481963
460303 48...

output:

5.5754489360

result:

ok 

Extra Test:

score: 0
Extra Test Passed