QOJ.ac
QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#560473 | #8677. Carl’s Vacation | PhantomThreshold# | AC ✓ | 141ms | 4044kb | C++20 | 3.4kb | 2024-09-12 15:51:44 | 2024-09-12 15:51:45 |
Judging History
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