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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 |
---|---|---|---|---|---|---|---|---|---|
#426242 | #8677. Carl’s Vacation | UFRJ | AC ✓ | 10ms | 4076kb | C++23 | 2.8kb | 2024-05-31 00:12:12 | 2024-05-31 00:12:13 |
Judging History
answer
#include<bits/stdc++.h>
using namespace std;
using lint = int64_t;
const int mod = 998244353;
template <class T> int sgn(T x) { return (x > 0) - (x < 0); }
template<class T>
struct Point {
typedef Point P;
T x, y;
explicit Point(T x_=0, T y_=0) : x(x_), y(y_) {}
bool operator<(P p) const { return tie(x,y) < tie(p.x,p.y); }
bool operator==(P p) const { return tie(x,y)==tie(p.x,p.y); }
P operator+(P p) const { return P(x+p.x, y+p.y); }
P operator-(P p) const { return P(x-p.x, y-p.y); }
P operator*(T d) const { return P(x*d, y*d); }
P operator/(T d) const { return P(x/d, y/d); }
T dot(P p) const { return x*p.x + y*p.y; }
T cross(P p) const { return x*p.y - y*p.x; }
T cross(P a, P b) const { return (a-*this).cross(b-*this); }
T dist2() const { return x*x + y*y; }
double dist() const { return sqrt((double)dist2()); }
// angle to x-axis in interval [-pi, pi]
double angle() const { return atan2(y, x); }
P unit() const { return *this/dist(); } // makes dist()=1
P perp() const { return P(-y, x); } // rotates +90 degrees
P normal() const { return perp().unit(); }
// returns point rotated 'a' radians ccw around the origin
P rotate(double a) const {
return P(x*cos(a)-y*sin(a),x*sin(a)+y*cos(a)); }
};
using P = Point<double>;
int main(){
cin.tie(nullptr)->sync_with_stdio(false);
vector<P>pnt1(4), pnt2(4);
double h1, h2;
cin>>pnt1[0].x>>pnt1[0].y>>pnt1[1].x>>pnt1[1].y>>h1;
cin>>pnt2[0].x>>pnt2[0].y>>pnt2[1].x>>pnt2[1].y>>h2;
for(int i=2;i<4;i++){
pnt1[i] = pnt1[i-1] + (pnt1[i-1] - pnt1[i-2]).perp();
pnt2[i] = pnt2[i-1] + (pnt2[i-1] - pnt2[i-2]).perp();
}
double l1 = (pnt1[1] - pnt1[0]).dist();
double l2 = (pnt2[1] - pnt2[0]).dist();
double d1 = sqrt(h1 * h1 + l1 * l1 / 4);
double d2 = sqrt(h2 * h2 + l2 * l2 / 4);
double ans = 1e9;
for(int i=0;i<4;i++){
P m1 = (pnt1[i] + pnt1[(i+1)%4]) / 2;
P o1 = m1 + (pnt1[(i+1)%4] - pnt1[i]).normal() * d1;
for(int j=0;j<4;j++){
P m2 = (pnt2[j] + pnt2[(j+1)%4]) / 2;
P o2 = m2 + (pnt2[(j+1)%4] - pnt2[j]).normal() * d2;
double lo1 = 0, hi1 = 1;
auto f = [&](double mid1)->double {
P cur1 = pnt1[i] + (pnt1[(i+1)%4] - pnt1[i]) * mid1;
double lo2 = 0, hi2 = 1;
auto g = [&](double mid2)->double {
P cur2 = pnt2[j] + (pnt2[(j+1)%4] - pnt2[j]) * mid2;
return (cur1 - o1).dist() + (cur2 - cur1).dist() + (o2 - cur2).dist();
};
for(int z2=0;z2<100;z2++){
double m1 = 2 * lo2/3 + hi2/3;
double m2 = lo2/3 + 2 * hi2/3;
if(g(m1) < g(m2)) hi2 = m2;
else lo2 = m1;
}
return g(lo2);
};
for(int z1=0;z1<100;z1++){
double m1 = 2 * lo1/3 + hi1/3;
double m2 = lo1/3 + 2 * hi1/3;
if(f(m1) < f(m2)) hi1 = m2;
else lo1 = m1;
}
ans = min(ans, f(lo1));
}
}
cout<<fixed<<setprecision(9);
cout<<ans<<"\n";
return 0;
}
詳細信息
Test #1:
score: 100
Accepted
time: 10ms
memory: 3972kb
input:
1 0 0 0 10000 99999 10000 10000 10000 10000
output:
76118.700049220
result:
ok found '76118.7000492', expected '76118.7000492', error '0.0000000'
Test #2:
score: 0
Accepted
time: 10ms
memory: 3972kb
input:
10000 10000 10000 0 10000 0 0 0 10000 10000
output:
32360.679774998
result:
ok found '32360.6797750', expected '32360.6797750', error '0.0000000'
Test #3:
score: 0
Accepted
time: 6ms
memory: 3956kb
input:
0 0 100 100 20 0 0 -5 -5 2
output:
107.365555079
result:
ok found '107.3655551', expected '107.3655551', error '0.0000000'
Test #4:
score: 0
Accepted
time: 10ms
memory: 3960kb
input:
0 0 100 100 20 23 23 18 18 2
output:
88.056757051
result:
ok found '88.0567571', expected '88.0567571', error '0.0000000'
Test #5:
score: 0
Accepted
time: 10ms
memory: 4004kb
input:
0 0 100 100 20 100 100 105 95 2
output:
107.365555079
result:
ok found '107.3655551', expected '107.3655551', error '0.0000000'
Test #6:
score: 0
Accepted
time: 6ms
memory: 4076kb
input:
0 0 100 100 20 44 156 49 151 2
output:
77.704520218
result:
ok found '77.7045202', expected '77.7045202', error '0.0000000'
Test #7:
score: 0
Accepted
time: 10ms
memory: 3832kb
input:
0 0 100 100 20 200 0 205 5 2
output:
224.528035157
result:
ok found '224.5280352', expected '224.5280352', error '0.0000000'
Test #8:
score: 0
Accepted
time: 9ms
memory: 3976kb
input:
0 0 100 100 20 -29 171 -24 176 2
output:
84.368195798
result:
ok found '84.3681958', expected '84.3681958', error '0.0000000'
Test #9:
score: 0
Accepted
time: 9ms
memory: 3892kb
input:
0 0 100 100 20 -100 100 -105 105 2
output:
107.365555079
result:
ok found '107.3655551', expected '107.3655551', error '0.0000000'
Test #10:
score: 0
Accepted
time: 6ms
memory: 3828kb
input:
0 0 100 100 20 -69 69 -74 74 2
output:
83.294612444
result:
ok found '83.2946124', expected '83.2946124', error '0.0000000'
Test #11:
score: 0
Accepted
time: 9ms
memory: 4064kb
input:
0 0 30 0 20 50 20 80 20 20
output:
72.801098893
result:
ok found '72.8010989', expected '72.8010989', error '0.0000000'
Test #12:
score: 0
Accepted
time: 6ms
memory: 3840kb
input:
0 0 30 0 20 50 20 80 20 140
output:
186.874948276
result:
ok found '186.8749483', expected '186.8749483', error '0.0000000'
Test #13:
score: 0
Accepted
time: 9ms
memory: 3844kb
input:
0 0 30 0 140 50 20 80 20 140
output:
302.264953761
result:
ok found '302.2649538', expected '302.2649538', error '0.0000000'
Test #14:
score: 0
Accepted
time: 9ms
memory: 3904kb
input:
0 0 30 0 500 50 20 80 20 140
output:
661.328793005
result:
ok found '661.3287930', expected '661.3287930', error '0.0000000'
Test #15:
score: 0
Accepted
time: 9ms
memory: 3840kb
input:
0 0 30 0 500 50 20 80 20 500
output:
1020.645871961
result:
ok found '1020.6458720', expected '1020.6458720', error '0.0000000'
Test #16:
score: 0
Accepted
time: 9ms
memory: 3904kb
input:
0 0 30 0 500 50 20 80 20 2000
output:
2520.361473746
result:
ok found '2520.3614737', expected '2520.3614737', error '0.0000000'
Test #17:
score: 0
Accepted
time: 6ms
memory: 3936kb
input:
1137 -1096 229 -599 6253 5792 -405 3433 -9660 2912
output:
16631.267204638
result:
ok found '16631.2672046', expected '16631.2672046', error '0.0000000'
Test #18:
score: 0
Accepted
time: 9ms
memory: 4004kb
input:
-1458 4365 -759 -5184 408 8891 -5111 2941 -8564 6966
output:
14848.097967206
result:
ok found '14848.0979672', expected '14848.0979672', error '0.0000000'
Test #19:
score: 0
Accepted
time: 10ms
memory: 3900kb
input:
2289 1693 -2539 850 7414 -4989 3660 8091 2109 6915
output:
18844.470620502
result:
ok found '18844.4706205', expected '18844.4706205', error '0.0000000'
Test #20:
score: 0
Accepted
time: 6ms
memory: 3956kb
input:
5431 8457 6717 -6624 2204 -5504 -5607 4032 -674 7792
output:
20847.862166811
result:
ok found '20847.8621668', expected '20847.8621668', error '0.0000000'
Test #21:
score: 0
Accepted
time: 9ms
memory: 3936kb
input:
4274 -9998 -3313 -2647 4590 -792 1334 5701 -8048 3257
output:
16956.483471788
result:
ok found '16956.4834718', expected '16956.4834718', error '0.0000000'
Test #22:
score: 0
Accepted
time: 9ms
memory: 4072kb
input:
-1563 -4648 1926 -2970 5843 -1600 9113 -1007 5823 7516
output:
19666.620019250
result:
ok found '19666.6200193', expected '19666.6200193', error '0.0000000'
Test #23:
score: 0
Accepted
time: 9ms
memory: 3968kb
input:
-6957 -1204 -2026 2849 1571 9178 1160 -3263 -6525 9297
output:
22798.269165640
result:
ok found '22798.2691656', expected '22798.2691656', error '0.0000000'
Test #24:
score: 0
Accepted
time: 6ms
memory: 3844kb
input:
-5254 4877 5836 -1945 4282 8106 -8783 7076 -2291 6168
output:
17820.127104862
result:
ok found '17820.1271049', expected '17820.1271049', error '0.0000000'
Test #25:
score: 0
Accepted
time: 9ms
memory: 3956kb
input:
2278 -7979 -200 -9432 528 -8604 1343 -5214 2428 8005
output:
22690.415072392
result:
ok found '22690.4150724', expected '22690.4150724', error '0.0000000'
Test #26:
score: 0
Accepted
time: 10ms
memory: 3928kb
input:
5003 277 737 -3626 2886 3492 4353 -446 5788 2426
output:
10058.391619179
result:
ok found '10058.3916192', expected '10058.3916192', error '0.0000000'
Test #27:
score: 0
Accepted
time: 6ms
memory: 3780kb
input:
-6582 -2629 -1742 6935 5531 -2010 1455 1794 -3461 9066
output:
20018.375726686
result:
ok found '20018.3757267', expected '20018.3757267', error '0.0000000'
Test #28:
score: 0
Accepted
time: 9ms
memory: 4072kb
input:
-8174 -1075 -6736 -2685 6615 -2151 4184 -1716 -308 5064
output:
16260.353232223
result:
ok found '16260.3532322', expected '16260.3532322', error '0.0000000'
Test #29:
score: 0
Accepted
time: 6ms
memory: 4064kb
input:
5291 1243 8982 5204 8450 -1177 -5306 -1390 2460 8858
output:
23316.850058254
result:
ok found '23316.8500583', expected '23316.8500583', error '0.0000000'
Test #30:
score: 0
Accepted
time: 9ms
memory: 3832kb
input:
-4229 2060 9017 -2659 5812 9887 -9973 5460 -2671 4205
output:
18310.304921594
result:
ok found '18310.3049216', expected '18310.3049216', error '0.0000000'
Test #31:
score: 0
Accepted
time: 9ms
memory: 3892kb
input:
0 0 8 0 3 0 8 8 8 3
output:
10.000000000
result:
ok found '10.0000000', expected '10.0000000', error '0.0000000'
Test #32:
score: 0
Accepted
time: 9ms
memory: 3936kb
input:
0 0 8 0 2 8 8 16 8 2
output:
12.000000000
result:
ok found '12.0000000', expected '12.0000000', error '0.0000000'
Test #33:
score: 0
Accepted
time: 9ms
memory: 3900kb
input:
0 0 8 0 2 10 10 18 10 2
output:
14.828427125
result:
ok found '14.8284271', expected '14.8284271', error '0.0000000'
Test #34:
score: 0
Accepted
time: 10ms
memory: 3768kb
input:
0 0 8 0 100000 10 10 18 10 100000
output:
200002.828747125
result:
ok found '200002.8287471', expected '200002.8287471', error '0.0000000'
Test #35:
score: 0
Accepted
time: 9ms
memory: 3900kb
input:
51412 80788 39091 71527 97605 6327 44899 20415 -12571 86627
output:
194757.486833429
result:
ok found '194757.4868334', expected '194757.4868334', error '0.0000000'
Test #36:
score: 0
Accepted
time: 9ms
memory: 4000kb
input:
-43347 56743 17244 83573 86143 -90081 -3018 -22063 -95528 26489
output:
179973.341845178
result:
ok found '179973.3418452', expected '179973.3418452', error '0.0000000'
Test #37:
score: 0
Accepted
time: 9ms
memory: 3892kb
input:
88637 -28248 308 -92620 47395 -57673 62668 -66785 923 49207
output:
210116.821817332
result:
ok found '210116.8218173', expected '210116.8218173', error '0.0000000'
Test #38:
score: 0
Accepted
time: 9ms
memory: 4064kb
input:
59768 12643 57116 -71451 64957 -43638 42191 -37837 9851 1875
output:
171578.651505342
result:
ok found '171578.6515053', expected '171578.6515053', error '0.0000000'
Test #39:
score: 0
Accepted
time: 9ms
memory: 3936kb
input:
-46206 -30845 -28470 3652 33497 74620 -92045 75046 -19320 48537
output:
147174.131714615
result:
ok found '147174.1317146', expected '147174.1317146', error '0.0000000'
Test #40:
score: 0
Accepted
time: 9ms
memory: 3896kb
input:
65899 65734 27624 70256 81635 -97389 -56422 -91684 -53179 88643
output:
317109.421796759
result:
ok found '317109.4217968', expected '317109.4217968', error '0.0000000'
Test #41:
score: 0
Accepted
time: 9ms
memory: 3896kb
input:
-25117 -50391 569 -34721 73972 -90107 -83510 -46359 -95477 83257
output:
174084.670254182
result:
ok found '174084.6702542', expected '174084.6702542', error '0.0000000'
Test #42:
score: 0
Accepted
time: 9ms
memory: 4004kb
input:
6832 -56636 7968 -59867 82961 6289 -49692 -56413 -38910 90946
output:
184208.611887531
result:
ok found '184208.6118875', expected '184208.6118875', error '0.0000000'
Test #43:
score: 0
Accepted
time: 9ms
memory: 3836kb
input:
-100000 -100000 -100000 100000 100000 100000 100000 100000 -100000 100000
output:
482842.712474619
result:
ok found '482842.7124746', expected '482842.7124746', error '0.0000000'
Test #44:
score: 0
Accepted
time: 9ms
memory: 3952kb
input:
-79878 -52149 -90171 -65032 95613 -22921 39940 69440 26987 94207
output:
319596.971757630
result:
ok found '319596.9717576', expected '319596.9717576', error '0.0000000'
Extra Test:
score: 0
Extra Test Passed