oj.uz

Submission #132012

# Submission time Handle Problem Language Result Execution time Memory
132012 2019-07-18T07:45:28 Z 이온조(#3189) Fences (JOI18_fences) C++14
51 / 100
 1000 ms 28624 KB 
#pragma GCC optimize ("Ofast")
#include <bits/stdc++.h>
using namespace std;
using pii = pair<int, int>;
using pid = pair<int, double>;
using pdi = pair<double, int>;
using pdd = pair<double, double>;
#define X first
#define Y second

const double eps = 1e-6;

struct line { pdd S, E; };
struct dot { pdd D; int id; bool ps; };
struct node { double v; int c, id; };

bool operator <(node PP, node QQ) { return PP.v > QQ.v; }

inline double f(double x) { return max(x, -x); }
inline double dst(pdd A, pdd B) { return sqrt((A.X-B.X) * (A.X-B.X) + (A.Y-B.Y) * (A.Y-B.Y)); }
inline double CCW(pdd A, pdd B, pdd C) { return A.X*B.Y + B.X*C.Y + C.X*A.Y - A.Y*B.X - B.Y*C.X - C.Y*A.X; }
inline int CCWs(pdd A, pdd B, pdd C) {
	int tmp = CCW(A, B, C);
	if(tmp < 0) return -1;
	if(tmp > 0) return +1;
	if(tmp == 0) return 0;
}
inline bool on(line A, pdd B) {
	if(A.S > A.E) swap(A.S, A.E);
	if(B < A.S || A.E < B) return false;
	return f(CCW(A.S, A.E, B) / dst(A.S, A.E)) < eps;
}
inline bool its(line A, line B) { // strict
	if(on(A, B.S) || on(A, B.E) || on(B, A.S) || on(B, A.E)) return false;
	return CCWs(A.S, A.E, B.S) * CCWs(A.S, A.E, B.E) == -1 && CCWs(B.S, B.E, A.S) * CCWs(B.S, B.E, A.E) == -1;
}
inline pdd push(line A, pdd B) {
	double ds = dst(A.S, A.E);
	double d = f(CCW(A.S, A.E, B) / ds);
	double dx = A.S.Y - A.E.Y, dy = A.E.X - A.S.X;
	pdd PA = {B.X + dx * (d/ds), B.Y + dy * (d/ds)};
	pdd PB = {B.X - dx * (d/ds), B.Y - dy * (d/ds)};
	if(dst(PA, A.S) > dst(PB, A.S)) swap(PA, PB);
	return PA;
}

line I = {{0.0, 0.0}, {1000.0, 1.0}};
vector<dot> T;
vector<pid> adj[1000009];
line A[111];
int N, S, K;
double ans = 1e9, D[2][1000009];

inline bool ok(line L) {
	bool f = 0;
	f |= its(L, {{S, S}, {S, -S}});
	f |= its(L, {{S, -S}, {-S, -S}});
	f |= its(L, {{-S, -S}, {-S, S}});
	f |= its(L, {{-S, S}, {S, S}});
	f |= its(L, {{S, S}, {-S, -S}});
	f |= its(L, {{-S, S}, {S, -S}});
	return !f;
}

void dijk(int st) {
	// printf("start: (%d, %d)\n", T[st].D.X, T[st].D.Y);
	for(int i=0; i<K; i++) D[0][i] = D[1][i] = 1e9;
	D[0][st] = 0.0;
	priority_queue<node> pq; pq.push({0.0, 0, st});
	while(pq.size()) {
		node n = pq.top(); pq.pop();
		if(n.id == st && n.c == 1) break;
		// printf("now: (%f, %d, (%d, %d))\n", n.v, n.c, T[n.id].D.X, T[n.id].D.Y);
		if(f(D[n.c][n.id] - n.v) > eps || n.v > ans) continue;
		for(auto& it: adj[n.id]) {
			int tc = n.c;
			if(its({T[n.id].D, T[it.X].D}, I)) tc = 1 - tc;
			if(D[tc][it.X] > n.v + it.Y) {
				D[tc][it.X] = n.v + it.Y;
				pq.push({D[tc][it.X], tc, it.X});
			}
		}
	}
	ans = min(ans, D[1][st]);
}

void make_edge(int u, int v, double c) {
	adj[u].push_back({v, c});
	adj[v].push_back({u, c});
}

int main() {
	scanf("%d%d",&N,&S);
	ans = 8.0*S;
	for(int i=1; i<=N; i++) {
		scanf("%lf%lf%lf%lf", &A[i].S.X, &A[i].S.Y, &A[i].E.X, &A[i].E.Y);
		T.push_back({A[i].S, i, 0});
		T.push_back({A[i].E, i, 0});
	}
	T.push_back({{S, S}, N+1, 0});
	T.push_back({{S, -S}, N+2, 0});
	T.push_back({{-S, -S}, N+3, 0});
	T.push_back({{-S, S}, N+4, 0});

	int L = T.size();

	for(int i=1; i<=N; i++) {
		for(int j=0; j<T.size(); j++) {
			if(i == T[j].id) continue;
			pdd pu = push(A[i], T[j].D);
			bool f = (ok({T[j].D, pu}) && on(A[i], pu));
			for(int k=1; k<=N; k++) f &= !its({pu, T[j].D}, A[k]);
			if(f) {
				// puts("ok");
				int u = T.size();
				T.push_back({pu, i, 1});
				make_edge(u, j, dst(pu, T[j].D));
				make_edge(u, 2*i-2, 0);
				make_edge(u, 2*i-1, 0);
			}
			// else puts("not ok");
		}
	}

	K = T.size();

	// printf("K: %d\n", K);
	// for(auto& it: T) {
	// 	printf("position(%f, %f), id: %d, pushed?: %d\n", it.D.X, it.D.Y, it.id, it.ps);
	// }

	for(int i=0; i<L; i++) {
		for(int j=i+1; j<L; j++) {
			if(!ok({T[i].D, T[j].D})) continue;
			bool f = 1;
			for(int k=1; k<=N; k++) f &= !its({T[i].D, T[j].D}, A[k]);
			if(!f) continue;
			double d;
			if(T[i].id == T[j].id) d = 0;
			else d = dst(T[i].D, T[j].D);
			// printf("(%f, %f) <----> (%f, %f), cost: %f\n", T[i].D.X, T[i].D.Y, T[j].D.X, T[j].D.Y, d);
			adj[i].push_back({j, d});
			adj[j].push_back({i, d});
		}
	}

	for(int i=0; i<2*N; i+=2) dijk(i);
	for(int i=2*N; i<2*N+4; i++) dijk(i);
	printf("%.10f", ans);
	return 0;
}

Compilation message

fences.cpp: In function 'int main()':
fences.cpp:108:17: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
   for(int j=0; j<T.size(); j++) {
                ~^~~~~~~~~
fences.cpp: In function 'int CCWs(pdd, pdd, pdd)':
fences.cpp:27:1: warning: control reaches end of non-void function [-Wreturn-type]
 }
 ^
fences.cpp: In function 'int main()':
fences.cpp:93:7: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
  scanf("%d%d",&N,&S);
  ~~~~~^~~~~~~~~~~~~~
fences.cpp:96:8: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
   scanf("%lf%lf%lf%lf", &A[i].S.X, &A[i].S.Y, &A[i].E.X, &A[i].E.Y);
   ~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Subtask #1
18.0 / 18.0

# Verdict Execution time Memory Grader output
1 Correct 26 ms 23800 KB Output is correct
2 Correct 26 ms 23800 KB Output is correct
3 Correct 26 ms 23800 KB Output is correct
4 Correct 26 ms 23800 KB Output is correct
5 Correct 26 ms 23800 KB Output is correct
6 Correct 32 ms 23800 KB Output is correct
7 Correct 26 ms 23804 KB Output is correct
8 Correct 26 ms 23752 KB Output is correct
9 Correct 25 ms 23800 KB Output is correct
10 Correct 26 ms 23800 KB Output is correct
11 Correct 26 ms 23800 KB Output is correct
12 Correct 27 ms 23800 KB Output is correct
13 Correct 26 ms 23860 KB Output is correct
14 Correct 26 ms 23800 KB Output is correct
15 Correct 33 ms 23800 KB Output is correct
16 Correct 26 ms 23800 KB Output is correct
17 Correct 27 ms 23800 KB Output is correct
18 Correct 27 ms 23800 KB Output is correct
19 Correct 25 ms 23800 KB Output is correct
20 Correct 26 ms 23804 KB Output is correct

Subtask #2
33.0 / 33.0

# Verdict Execution time Memory Grader output
1 Correct 26 ms 23800 KB Output is correct
2 Correct 26 ms 23800 KB Output is correct
3 Correct 26 ms 23800 KB Output is correct
4 Correct 26 ms 23800 KB Output is correct
5 Correct 26 ms 23800 KB Output is correct
6 Correct 32 ms 23800 KB Output is correct
7 Correct 26 ms 23804 KB Output is correct
8 Correct 26 ms 23752 KB Output is correct
9 Correct 25 ms 23800 KB Output is correct
10 Correct 26 ms 23800 KB Output is correct
11 Correct 26 ms 23800 KB Output is correct
12 Correct 27 ms 23800 KB Output is correct
13 Correct 26 ms 23860 KB Output is correct
14 Correct 26 ms 23800 KB Output is correct
15 Correct 33 ms 23800 KB Output is correct
16 Correct 26 ms 23800 KB Output is correct
17 Correct 27 ms 23800 KB Output is correct
18 Correct 27 ms 23800 KB Output is correct
19 Correct 25 ms 23800 KB Output is correct
20 Correct 26 ms 23804 KB Output is correct
21 Correct 26 ms 23800 KB Output is correct
22 Correct 27 ms 23800 KB Output is correct
23 Correct 27 ms 23800 KB Output is correct
24 Correct 26 ms 23800 KB Output is correct
25 Correct 26 ms 23800 KB Output is correct
26 Correct 27 ms 23800 KB Output is correct
27 Correct 26 ms 23800 KB Output is correct
28 Correct 26 ms 23800 KB Output is correct
29 Correct 26 ms 23800 KB Output is correct
30 Correct 27 ms 23800 KB Output is correct
31 Correct 26 ms 23800 KB Output is correct
32 Correct 26 ms 23800 KB Output is correct
33 Correct 27 ms 23928 KB Output is correct
34 Correct 26 ms 23800 KB Output is correct
35 Correct 26 ms 23800 KB Output is correct
36 Correct 27 ms 23800 KB Output is correct
37 Correct 26 ms 23800 KB Output is correct
38 Correct 26 ms 23800 KB Output is correct
39 Correct 26 ms 23800 KB Output is correct
40 Correct 30 ms 23800 KB Output is correct
41 Correct 26 ms 23800 KB Output is correct
42 Correct 26 ms 23800 KB Output is correct
43 Correct 30 ms 23928 KB Output is correct

Subtask #3
0 / 49.0

# Verdict Execution time Memory Grader output
1 Correct 26 ms 23800 KB Output is correct
2 Correct 26 ms 23800 KB Output is correct
3 Correct 26 ms 23800 KB Output is correct
4 Correct 26 ms 23800 KB Output is correct
5 Correct 26 ms 23800 KB Output is correct
6 Correct 32 ms 23800 KB Output is correct
7 Correct 26 ms 23804 KB Output is correct
8 Correct 26 ms 23752 KB Output is correct
9 Correct 25 ms 23800 KB Output is correct
10 Correct 26 ms 23800 KB Output is correct
11 Correct 26 ms 23800 KB Output is correct
12 Correct 27 ms 23800 KB Output is correct
13 Correct 26 ms 23860 KB Output is correct
14 Correct 26 ms 23800 KB Output is correct
15 Correct 33 ms 23800 KB Output is correct
16 Correct 26 ms 23800 KB Output is correct
17 Correct 27 ms 23800 KB Output is correct
18 Correct 27 ms 23800 KB Output is correct
19 Correct 25 ms 23800 KB Output is correct
20 Correct 26 ms 23804 KB Output is correct
21 Correct 26 ms 23800 KB Output is correct
22 Correct 27 ms 23800 KB Output is correct
23 Correct 27 ms 23800 KB Output is correct
24 Correct 26 ms 23800 KB Output is correct
25 Correct 26 ms 23800 KB Output is correct
26 Correct 27 ms 23800 KB Output is correct
27 Correct 26 ms 23800 KB Output is correct
28 Correct 26 ms 23800 KB Output is correct
29 Correct 26 ms 23800 KB Output is correct
30 Correct 27 ms 23800 KB Output is correct
31 Correct 26 ms 23800 KB Output is correct
32 Correct 26 ms 23800 KB Output is correct
33 Correct 27 ms 23928 KB Output is correct
34 Correct 26 ms 23800 KB Output is correct
35 Correct 26 ms 23800 KB Output is correct
36 Correct 27 ms 23800 KB Output is correct
37 Correct 26 ms 23800 KB Output is correct
38 Correct 26 ms 23800 KB Output is correct
39 Correct 26 ms 23800 KB Output is correct
40 Correct 30 ms 23800 KB Output is correct
41 Correct 26 ms 23800 KB Output is correct
42 Correct 26 ms 23800 KB Output is correct
43 Correct 30 ms 23928 KB Output is correct
44 Correct 392 ms 24260 KB Output is correct
45 Correct 420 ms 24312 KB Output is correct
46 Correct 472 ms 24312 KB Output is correct
47 Correct 337 ms 24056 KB Output is correct
48 Correct 371 ms 24228 KB Output is correct
49 Correct 429 ms 24292 KB Output is correct
50 Correct 381 ms 24308 KB Output is correct
51 Correct 333 ms 24184 KB Output is correct
52 Correct 367 ms 24144 KB Output is correct
53 Correct 354 ms 24184 KB Output is correct
54 Correct 334 ms 24188 KB Output is correct
55 Correct 371 ms 24184 KB Output is correct
56 Correct 401 ms 24288 KB Output is correct
57 Correct 390 ms 24212 KB Output is correct
58 Correct 415 ms 24252 KB Output is correct
59 Correct 369 ms 24096 KB Output is correct
60 Correct 398 ms 24196 KB Output is correct
61 Correct 387 ms 24328 KB Output is correct
62 Correct 26 ms 23800 KB Output is correct
63 Correct 27 ms 23800 KB Output is correct
64 Correct 240 ms 24172 KB Output is correct
65 Correct 274 ms 24776 KB Output is correct
66 Correct 209 ms 24476 KB Output is correct
67 Execution timed out 1072 ms 28624 KB Time limit exceeded
68 Halted 0 ms 0 KB -