oj.uz

Submission #1011171

# Submission time Handle Problem Language Result Execution time Memory
1011171 2024-06-30T03:37:54 Z snpmrnhlol Fences (JOI18_fences) C++17
100 / 100
 80 ms 1368 KB 
#include<bits/stdc++.h>
using namespace std;
typedef long long ll;
typedef long double ld;
const ll N = 100;
const ld eps = 1e-9;
const ld inf = 2e9;
ll n;
ld  s;
struct point{
    ld x,y;
};
struct LINE{
    point p1,p2;
};
LINE v[N + 4];
ld dist2[2*(N + 4)][2*(N + 4)];
point operator-(point &a, point &b){return {a.x - b.x,a.y - b.y};}
point operator+(point &a, point &b){return {a.x + b.x,a.y + b.y};}
ld dist(point x,point y){
    x = x - y;
    return sqrt(x.x*x.x + x.y*x.y);
}
ld cross(point a,point b){
    return a.x*b.y - a.y*b.x;
}
ld dot(point a,point b){
    return a.x*b.x + a.y*b.y;
}
bool intersect(LINE a,LINE b){
    if(abs(cross(a.p1 - a.p2, b.p1 - b.p2)) < eps){
        return 0;
    }
    ld x1 = cross(b.p1 - a.p1,b.p2 - a.p1)*cross(b.p1 - a.p2,b.p2 - a.p2);
    ld x2 = cross(a.p1 - b.p1,a.p2 - b.p1)*cross(a.p1 - b.p2,a.p2 - b.p2);
    return x1 < eps && x2 < -eps || x1 < -eps && x2 < eps;
}
ll hit(point a, point b) {
    if(intersect({a,b},{{0,0},{400,1}}))return 1;
    else return 0;
	if (a.y < b.y)swap(a,b);
	return a.y > 0 && b.y <= 0 && cross(a, b) < 0;
}
void add(ll i, ll j, point a, LINE b){
    ///gasim perpendiculara la drogatu asta
    point p;
    ld t = min((ld)1,max((ld)0,dot(a - b.p1,b.p2 - b.p1)/dot(b.p2 - b.p1,b.p2 - b.p1)));
    p = {b.p1.x + t*(b.p2.x - b.p1.x),b.p1.y + t*(b.p2.y - b.p1.y)};
    ///this is how is used to do collision detection
    for(ll k = 0;k < 4;k++){
        if(intersect({p,a},{(k%2 == 0?s:-s),(k/2 == 0?s:-s)}))return;
    }
    if(abs((p.x + a.x)/2) <= s - eps && abs((p.y + a.y)/2) <= s - eps)return;
    ///FIND ANGLE
    ld canddist = dist(p,a);
    bool ord;
    ord = hit(v[i].p1, a) ^ hit(a, p) ^ hit(p, v[j].p1);
    //cout<<canddist<<' '<<i<<' '<<j<<' '<<a.x<<' '<<a.y<<' '<<p.x<<' '<<p.y<<'\n';
    if(!ord){
        dist2[i*2][j*2] = min(dist2[i*2][j*2],canddist);
        dist2[j*2][i*2] = min(dist2[j*2][i*2],canddist);
        dist2[i*2 + 1][j*2 + 1] = min(dist2[i*2 + 1][j*2 + 1],canddist);
        dist2[j*2 + 1][i*2 + 1] = min(dist2[j*2 + 1][i*2 + 1],canddist);
    }else{
        dist2[i*2 + 1][j*2] = min(dist2[i*2 + 1][j*2],canddist);
        dist2[j*2 + 1][i*2] = min(dist2[j*2 + 1][i*2],canddist);
        dist2[i*2][j*2 + 1] = min(dist2[i*2][j*2 + 1],canddist);
        dist2[j*2][i*2 + 1] = min(dist2[j*2][i*2 + 1],canddist);
    }
}
void compute(ll i, ll j){
    LINE a = v[i];
    LINE b = v[j];
    add(i, j, a.p1, b);
    add(i, j, a.p2, b);
}
int main(){
    ios_base::sync_with_stdio(0);
    cin.tie(0);
    //cout<<fixed<<setprecision(6);
    cin>>n>>s;
    v[0] = {-s,-s,-s,-s};
    v[1] = {-s, s,-s, s};
    v[2] = { s,-s, s,-s};
    v[3] = { s, s, s, s};
    for(ll i = 4;i < n + 4;i++){
        cin>>v[i].p1.x>>v[i].p1.y>>v[i].p2.x>>v[i].p2.y;
    }
    n+=4;
    for(ll i = 0;i < 2*n;i++){
        for(ll j = 0;j < 2*n;j++){
            if(i == j){
                dist2[i][j] = 0;
            }else{
                dist2[i][j] = inf;
            }
        }
    }
    for(ll i = 0;i < n;i++){
        for(ll j = 0;j < n;j++){
            if(i == j)continue;
            compute(i, j);
        }
    }
    for(ll i = 0;i < 2*n;i++){
        for(ll j = 0;j < 2*n;j++){
            for(ll k = 0;k < 2*n;k++){
                dist2[j][k] = min(dist2[j][k],dist2[j][i] + dist2[i][k]);
            }
        }
    }

    ld ans = 16*s;
    for(ll i = 0;i < n;i++){
        ans = min(ans,dist2[i*2][i*2 + 1]);
    }
    cout<<ans<<'\n';
    return 0;
}

Compilation message

fences.cpp: In function 'bool intersect(LINE, LINE)':
fences.cpp:36:21: warning: suggest parentheses around '&&' within '||' [-Wparentheses]
   36 |     return x1 < eps && x2 < -eps || x1 < -eps && x2 < eps;
      |            ~~~~~~~~~^~~~~~~~~~~~

Subtask #1
18.0 / 18.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 1 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 0 ms 472 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 0 ms 348 KB Output is correct
12 Correct 0 ms 600 KB Output is correct
13 Correct 1 ms 348 KB Output is correct
14 Correct 0 ms 348 KB Output is correct
15 Correct 0 ms 348 KB Output is correct
16 Correct 0 ms 348 KB Output is correct
17 Correct 0 ms 348 KB Output is correct
18 Correct 0 ms 348 KB Output is correct
19 Correct 0 ms 348 KB Output is correct
20 Correct 1 ms 344 KB Output is correct

Subtask #2
33.0 / 33.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 1 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 0 ms 472 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 0 ms 348 KB Output is correct
12 Correct 0 ms 600 KB Output is correct
13 Correct 1 ms 348 KB Output is correct
14 Correct 0 ms 348 KB Output is correct
15 Correct 0 ms 348 KB Output is correct
16 Correct 0 ms 348 KB Output is correct
17 Correct 0 ms 348 KB Output is correct
18 Correct 0 ms 348 KB Output is correct
19 Correct 0 ms 348 KB Output is correct
20 Correct 1 ms 344 KB Output is correct
21 Correct 0 ms 344 KB Output is correct
22 Correct 0 ms 348 KB Output is correct
23 Correct 0 ms 540 KB Output is correct
24 Correct 1 ms 344 KB Output is correct
25 Correct 1 ms 348 KB Output is correct
26 Correct 0 ms 348 KB Output is correct
27 Correct 1 ms 540 KB Output is correct
28 Correct 1 ms 348 KB Output is correct
29 Correct 1 ms 348 KB Output is correct
30 Correct 0 ms 348 KB Output is correct
31 Correct 1 ms 348 KB Output is correct
32 Correct 0 ms 348 KB Output is correct
33 Correct 1 ms 600 KB Output is correct
34 Correct 1 ms 344 KB Output is correct
35 Correct 0 ms 500 KB Output is correct
36 Correct 0 ms 348 KB Output is correct
37 Correct 1 ms 344 KB Output is correct
38 Correct 0 ms 348 KB Output is correct
39 Correct 0 ms 348 KB Output is correct
40 Correct 0 ms 348 KB Output is correct
41 Correct 0 ms 348 KB Output is correct
42 Correct 1 ms 348 KB Output is correct
43 Correct 0 ms 348 KB Output is correct

Subtask #3
49.0 / 49.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 1 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 0 ms 472 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 0 ms 348 KB Output is correct
12 Correct 0 ms 600 KB Output is correct
13 Correct 1 ms 348 KB Output is correct
14 Correct 0 ms 348 KB Output is correct
15 Correct 0 ms 348 KB Output is correct
16 Correct 0 ms 348 KB Output is correct
17 Correct 0 ms 348 KB Output is correct
18 Correct 0 ms 348 KB Output is correct
19 Correct 0 ms 348 KB Output is correct
20 Correct 1 ms 344 KB Output is correct
21 Correct 0 ms 344 KB Output is correct
22 Correct 0 ms 348 KB Output is correct
23 Correct 0 ms 540 KB Output is correct
24 Correct 1 ms 344 KB Output is correct
25 Correct 1 ms 348 KB Output is correct
26 Correct 0 ms 348 KB Output is correct
27 Correct 1 ms 540 KB Output is correct
28 Correct 1 ms 348 KB Output is correct
29 Correct 1 ms 348 KB Output is correct
30 Correct 0 ms 348 KB Output is correct
31 Correct 1 ms 348 KB Output is correct
32 Correct 0 ms 348 KB Output is correct
33 Correct 1 ms 600 KB Output is correct
34 Correct 1 ms 344 KB Output is correct
35 Correct 0 ms 500 KB Output is correct
36 Correct 0 ms 348 KB Output is correct
37 Correct 1 ms 344 KB Output is correct
38 Correct 0 ms 348 KB Output is correct
39 Correct 0 ms 348 KB Output is correct
40 Correct 0 ms 348 KB Output is correct
41 Correct 0 ms 348 KB Output is correct
42 Correct 1 ms 348 KB Output is correct
43 Correct 0 ms 348 KB Output is correct
44 Correct 75 ms 1116 KB Output is correct
45 Correct 71 ms 1112 KB Output is correct
46 Correct 70 ms 1132 KB Output is correct
47 Correct 75 ms 1112 KB Output is correct
48 Correct 74 ms 1116 KB Output is correct
49 Correct 73 ms 1116 KB Output is correct
50 Correct 80 ms 1112 KB Output is correct
51 Correct 62 ms 1368 KB Output is correct
52 Correct 63 ms 1112 KB Output is correct
53 Correct 69 ms 1116 KB Output is correct
54 Correct 71 ms 1112 KB Output is correct
55 Correct 68 ms 1128 KB Output is correct
56 Correct 66 ms 1116 KB Output is correct
57 Correct 68 ms 1112 KB Output is correct
58 Correct 69 ms 1112 KB Output is correct
59 Correct 65 ms 1132 KB Output is correct
60 Correct 68 ms 1116 KB Output is correct
61 Correct 67 ms 1128 KB Output is correct
62 Correct 1 ms 348 KB Output is correct
63 Correct 1 ms 348 KB Output is correct
64 Correct 63 ms 1368 KB Output is correct
65 Correct 70 ms 1360 KB Output is correct
66 Correct 60 ms 1116 KB Output is correct
67 Correct 74 ms 1116 KB Output is correct
68 Correct 64 ms 1116 KB Output is correct
69 Correct 69 ms 1132 KB Output is correct
70 Correct 58 ms 856 KB Output is correct
71 Correct 66 ms 1112 KB Output is correct
72 Correct 69 ms 1128 KB Output is correct