oj.uz

Submission #532555

# Submission time Handle Problem Language Result Execution time Memory
532555 2022-03-03T07:42:23 Z wiwiho Fences (JOI18_fences) C++14
51 / 100
 340 ms 262148 KB 
#include <bits/stdc++.h>
#include <bits/extc++.h>

#define StarBurstStream ios_base::sync_with_stdio(false); cin.tie(0); cout.tie(0);
#define iter(a) a.begin(), a.end()
#define riter(a) a.rbegin(), a.rend()
#define lsort(a) sort(iter(a))
#define gsort(a) sort(riter(a))
#define pb(a) push_back(a)
#define eb(a) emplace_back(a)
#define pf(a) push_front(a)
#define ef(a) emplace_front(a)
#define pob pop_back()
#define pof pop_front()
#define mp(a, b) make_pair(a, b)
#define F first
#define S second
#define mt make_tuple
#define gt(t, i) get<i>(t)
#define tomax(a, b) ((a) = max((a), (b)))
#define tomin(a, b) ((a) = min((a), (b)))
#define topos(a) ((a) = (((a) % MOD + MOD) % MOD))
#define uni(a) a.resize(unique(iter(a)) - a.begin())
#define printv(a, b) {bool pvaspace=false; \
for(auto pva : a){ \
    if(pvaspace) b << " "; pvaspace=true;\
    b << pva;\
}\
b << "\n";}

using namespace std;
using namespace __gnu_pbds;

typedef long long ll;
typedef unsigned long long ull;
typedef long double ld;

using pii = pair<int, int>;
using pll = pair<ll, ll>;
using pdd = pair<ld, ld>;
using tiii = tuple<int, int, int>;

const ll MOD = 1000000007;
const ll MAX = 2147483647;

template<typename A, typename B>
ostream& operator<<(ostream& o, pair<A, B> p){
    return o << '(' << p.F << ',' << p.S << ')';
}

ll ifloor(ll a, ll b){
    if(b < 0) a *= -1, b *= -1;
    if(a < 0) return (a - b + 1) / b;
    else return a / b;
}

ll iceil(ll a, ll b){
    if(b < 0) a *= -1, b *= -1;
    if(a > 0) return (a + b - 1) / b;
    else return a / b;
}

using pdd = pair<ld, ld>;
ld eps = 1e-9;

pdd operator+(pdd a, pdd b){
    return mp(a.F + b.F, a.S + b.S);
}

pdd operator-(pdd a, pdd b){
    return mp(a.F - b.F, a.S - b.S);
}

ld dot(pdd a, pdd b){
    return a.F * b.F + a.S * b.S;
}

ld cross(pdd a, pdd b){
    return a.F * b.S - a.S * b.F;
}

ld abs2(pdd a){
    return a.F * a.F + a.S * a.S;
}

ld abs(pdd a){
    return sqrt(abs2(a));
}

pdd operator*(ld i, pdd p){
    return mp(i * p.F, i * p.S);
}

int ori(pdd a, pdd b){
    if(abs(cross(a, b)) <= eps) return 0;
    else if(cross(a, b) > 0) return 1;
    else return -1;
}

bool intersect(pdd a, pdd b, pdd c, pdd d){
    return ori(b - a, c - a) * ori(b - a, d - a) < 0 && ori(d - c, a - c) * ori(d - c, b - c) < 0;
}

bool canproj(pdd p, pdd a, pdd b){
    return dot(b - a, p - a) >= 0 && dot(a - b, p - b) >= 0;
}

pdd getproj(pdd p, pdd a, pdd b){
    if(abs2(a - b) <= eps) return a;
    return a + dot(p - a, b - a) / abs2(b - a) * (b - a);
}

pdd v1 = mp(0, 0), v2 = mp(48763, 3234234);

struct Line{
    pdd a, b;
};

struct edge{
    int to;
    ld w;
    int f;
};

ostream& operator<<(ostream& o, edge e){
    return o << '(' << e.to << ',' << e.w << ',' << e.f << ')';
}

int n;
ld S;
vector<Line> border;
vector<Line> e;
vector<pdd> pos;
vector<vector<int>> ps;
vector<vector<edge>> g;
int ts;

void init(){
    cin >> n >> S;
    e.resize(n);
    for(int i = 0; i < n; i++){
        cin >> e[i].a.F >> e[i].a.S >> e[i].b.F >> e[i].b.S;
    }
    border.eb(Line({mp(S, S), mp(S, -S)}));
    border.eb(Line({mp(-S, -S), mp(S, -S)}));
    border.eb(Line({mp(-S, -S), mp(-S, S)}));
    border.eb(Line({mp(S, S), mp(-S, S)}));
    border.eb(Line({mp(S, -S), mp(-S, S)}));
    border.eb(Line({mp(-S, -S), mp(S, S)}));
    e.eb(Line({mp(S, S), mp(S, S)}));
    e.eb(Line({mp(S, -S), mp(S, -S)}));
    e.eb(Line({mp(-S, S), mp(-S, S)}));
    e.eb(Line({mp(-S, -S), mp(-S, -S)}));
    n += 4;
    ps.resize(n);
}

bool check(pdd a, pdd b){
    for(auto i : border){
        if(intersect(a, b, i.a, i.b)) return false;
    }
    return true;
}

bool foxyy(pdd a, pdd b){
    return intersect(a, b, v1, v2);
}

void addedge(int x, pdd a, int y, pdd b){
    if(!check(a, b)){
        //cerr << "qq " << a << " " << b << "\n";
        return;
    }
    int av = ts++;
    int bv = ts++;
    pos.eb(a);
    pos.eb(b);
    g.eb(); g.eb();
    //cerr << "addedge " << x << " " << av << " " << y << " " << bv << "\n";
    ps[x].eb(av); ps[y].eb(bv);
    g[av].eb(edge({bv, abs(a - b), foxyy(a, b)}));
    g[bv].eb(edge({av, abs(a - b), foxyy(a, b)}));
    //cerr << "addedge " << a << " " << b << " " << abs(a - b) << " " << foxyy(a, b) << "\n";
}

void tryproj(int x, pdd p, int y, pdd a, pdd b){
    if(!canproj(p, a, b)) return;
    //cerr << "canproj " << x << " " << p << " " << y << " " << getproj(p, a, b) << "\n";
    addedge(x, p, y, getproj(p, a, b));
}

void buildedges(int x, int y){
    addedge(x, e[x].a, y, e[y].a);
    addedge(x, e[x].b, y, e[y].a);
    addedge(x, e[x].a, y, e[y].b);
    addedge(x, e[x].b, y, e[y].b);
    
    tryproj(x, e[x].a, y, e[y].a, e[y].b);
    tryproj(x, e[x].b, y, e[y].a, e[y].b);
    tryproj(y, e[y].a, x, e[x].a, e[x].b);
    tryproj(y, e[y].b, x, e[x].a, e[x].b);
}

void buildline(int id){
    for(int i : ps[id]){
        for(int j : ps[id]){
            g[i].eb(edge({j, 0, foxyy(pos[i], pos[j])}));
        }
    }
}

struct info{
    ld d;
    int v;
    int f;

    bool operator<(info b) const{
        return d > b.d;
    }
};

ld calc(int s){
    std::priority_queue<info> pq;
    vector<vector<ld>> dis(2, vector<ld>(ts, 1e20));
    dis[0][s] = 0;
    pq.push(info({0, s, 0}));
    while(!pq.empty()){
        ld d = pq.top().d;
        int v = pq.top().v, f = pq.top().f;
        pq.pop();
        if(abs(d - dis[f][v]) > eps) continue;
        for(auto i : g[v]){
            int nf = f ^ i.f;
            if(d + i.w >= dis[nf][i.to]) continue;
            dis[nf][i.to] = d + i.w;
            pq.push(info({d + i.w, i.to, nf}));
        }
    }
    //cerr << "calc " << s << " " << dis[1][s] << "\n";
    return dis[1][s];
}

int main(){
    StarBurstStream

    init();

    for(int i = 0; i < n; i++){
        for(int j = i + 1; j < n; j++) buildedges(i, j);
    }
    for(int i = 0; i < n; i++) buildline(i);

    /*cerr << "graph\n";
    for(int i = 0; i < ts; i++){
        cerr << i << " " << pos[i] << "  ";
        printv(g[i], cerr);
    }*/

    ld ans = 1e20;
    for(int i = 0; i < ts; i++){
        ans = min(ans, calc(i));
    }
    cout << fixed << setprecision(20) << ans << "\n";

    return 0;
}

Subtask #1
18.0 / 18.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 464 KB Output is correct
2 Correct 6 ms 464 KB Output is correct
3 Correct 6 ms 444 KB Output is correct
4 Correct 4 ms 440 KB Output is correct
5 Correct 5 ms 440 KB Output is correct
6 Correct 5 ms 444 KB Output is correct
7 Correct 5 ms 464 KB Output is correct
8 Correct 5 ms 464 KB Output is correct
9 Correct 4 ms 464 KB Output is correct
10 Correct 4 ms 464 KB Output is correct
11 Correct 6 ms 464 KB Output is correct
12 Correct 5 ms 464 KB Output is correct
13 Correct 7 ms 464 KB Output is correct
14 Correct 4 ms 440 KB Output is correct
15 Correct 4 ms 444 KB Output is correct
16 Correct 7 ms 464 KB Output is correct
17 Correct 7 ms 440 KB Output is correct
18 Correct 7 ms 464 KB Output is correct
19 Correct 5 ms 464 KB Output is correct
20 Correct 7 ms 468 KB Output is correct

Subtask #2
33.0 / 33.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 464 KB Output is correct
2 Correct 6 ms 464 KB Output is correct
3 Correct 6 ms 444 KB Output is correct
4 Correct 4 ms 440 KB Output is correct
5 Correct 5 ms 440 KB Output is correct
6 Correct 5 ms 444 KB Output is correct
7 Correct 5 ms 464 KB Output is correct
8 Correct 5 ms 464 KB Output is correct
9 Correct 4 ms 464 KB Output is correct
10 Correct 4 ms 464 KB Output is correct
11 Correct 6 ms 464 KB Output is correct
12 Correct 5 ms 464 KB Output is correct
13 Correct 7 ms 464 KB Output is correct
14 Correct 4 ms 440 KB Output is correct
15 Correct 4 ms 444 KB Output is correct
16 Correct 7 ms 464 KB Output is correct
17 Correct 7 ms 440 KB Output is correct
18 Correct 7 ms 464 KB Output is correct
19 Correct 5 ms 464 KB Output is correct
20 Correct 7 ms 468 KB Output is correct
21 Correct 19 ms 592 KB Output is correct
22 Correct 117 ms 1424 KB Output is correct
23 Correct 93 ms 1232 KB Output is correct
24 Correct 57 ms 976 KB Output is correct
25 Correct 64 ms 964 KB Output is correct
26 Correct 72 ms 1132 KB Output is correct
27 Correct 76 ms 1104 KB Output is correct
28 Correct 44 ms 848 KB Output is correct
29 Correct 95 ms 1232 KB Output is correct
30 Correct 54 ms 976 KB Output is correct
31 Correct 58 ms 1036 KB Output is correct
32 Correct 70 ms 1104 KB Output is correct
33 Correct 91 ms 1216 KB Output is correct
34 Correct 100 ms 1232 KB Output is correct
35 Correct 146 ms 1616 KB Output is correct
36 Correct 196 ms 1744 KB Output is correct
37 Correct 54 ms 976 KB Output is correct
38 Correct 9 ms 468 KB Output is correct
39 Correct 78 ms 1280 KB Output is correct
40 Correct 11 ms 608 KB Output is correct
41 Correct 22 ms 720 KB Output is correct
42 Correct 36 ms 848 KB Output is correct
43 Correct 105 ms 1488 KB Output is correct

Subtask #3
0 / 49.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 464 KB Output is correct
2 Correct 6 ms 464 KB Output is correct
3 Correct 6 ms 444 KB Output is correct
4 Correct 4 ms 440 KB Output is correct
5 Correct 5 ms 440 KB Output is correct
6 Correct 5 ms 444 KB Output is correct
7 Correct 5 ms 464 KB Output is correct
8 Correct 5 ms 464 KB Output is correct
9 Correct 4 ms 464 KB Output is correct
10 Correct 4 ms 464 KB Output is correct
11 Correct 6 ms 464 KB Output is correct
12 Correct 5 ms 464 KB Output is correct
13 Correct 7 ms 464 KB Output is correct
14 Correct 4 ms 440 KB Output is correct
15 Correct 4 ms 444 KB Output is correct
16 Correct 7 ms 464 KB Output is correct
17 Correct 7 ms 440 KB Output is correct
18 Correct 7 ms 464 KB Output is correct
19 Correct 5 ms 464 KB Output is correct
20 Correct 7 ms 468 KB Output is correct
21 Correct 19 ms 592 KB Output is correct
22 Correct 117 ms 1424 KB Output is correct
23 Correct 93 ms 1232 KB Output is correct
24 Correct 57 ms 976 KB Output is correct
25 Correct 64 ms 964 KB Output is correct
26 Correct 72 ms 1132 KB Output is correct
27 Correct 76 ms 1104 KB Output is correct
28 Correct 44 ms 848 KB Output is correct
29 Correct 95 ms 1232 KB Output is correct
30 Correct 54 ms 976 KB Output is correct
31 Correct 58 ms 1036 KB Output is correct
32 Correct 70 ms 1104 KB Output is correct
33 Correct 91 ms 1216 KB Output is correct
34 Correct 100 ms 1232 KB Output is correct
35 Correct 146 ms 1616 KB Output is correct
36 Correct 196 ms 1744 KB Output is correct
37 Correct 54 ms 976 KB Output is correct
38 Correct 9 ms 468 KB Output is correct
39 Correct 78 ms 1280 KB Output is correct
40 Correct 11 ms 608 KB Output is correct
41 Correct 22 ms 720 KB Output is correct
42 Correct 36 ms 848 KB Output is correct
43 Correct 105 ms 1488 KB Output is correct
44 Runtime error 340 ms 262148 KB Execution killed with signal 9
45 Halted 0 ms 0 KB -