oj.uz

Submission #132011

# Submission time Handle Problem Language Result Execution time Memory
132011 2019-07-18T07:43:52 Z 이온조(#3189) Fences (JOI18_fences) C++14
51 / 100
 1000 ms 29552 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<L; 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 25 ms 23800 KB Output is correct
2 Correct 25 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 26 ms 23800 KB Output is correct
7 Correct 26 ms 23800 KB Output is correct
8 Correct 26 ms 23800 KB Output is correct
9 Correct 26 ms 23800 KB Output is correct
10 Correct 25 ms 23800 KB Output is correct
11 Correct 26 ms 23800 KB Output is correct
12 Correct 26 ms 23800 KB Output is correct
13 Correct 26 ms 23800 KB Output is correct
14 Correct 26 ms 23800 KB Output is correct
15 Correct 26 ms 23800 KB Output is correct
16 Correct 26 ms 23800 KB Output is correct
17 Correct 26 ms 23800 KB Output is correct
18 Correct 26 ms 23800 KB Output is correct
19 Correct 25 ms 23772 KB Output is correct
20 Correct 25 ms 23800 KB Output is correct

Subtask #2
33.0 / 33.0

# Verdict Execution time Memory Grader output
1 Correct 25 ms 23800 KB Output is correct
2 Correct 25 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 26 ms 23800 KB Output is correct
7 Correct 26 ms 23800 KB Output is correct
8 Correct 26 ms 23800 KB Output is correct
9 Correct 26 ms 23800 KB Output is correct
10 Correct 25 ms 23800 KB Output is correct
11 Correct 26 ms 23800 KB Output is correct
12 Correct 26 ms 23800 KB Output is correct
13 Correct 26 ms 23800 KB Output is correct
14 Correct 26 ms 23800 KB Output is correct
15 Correct 26 ms 23800 KB Output is correct
16 Correct 26 ms 23800 KB Output is correct
17 Correct 26 ms 23800 KB Output is correct
18 Correct 26 ms 23800 KB Output is correct
19 Correct 25 ms 23772 KB Output is correct
20 Correct 25 ms 23800 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 23928 KB Output is correct
24 Correct 26 ms 23800 KB Output is correct
25 Correct 26 ms 23800 KB Output is correct
26 Correct 26 ms 23800 KB Output is correct
27 Correct 26 ms 23800 KB Output is correct
28 Correct 26 ms 23900 KB Output is correct
29 Correct 26 ms 23800 KB Output is correct
30 Correct 26 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 26 ms 23928 KB Output is correct
34 Correct 26 ms 23800 KB Output is correct
35 Correct 26 ms 23772 KB Output is correct
36 Correct 26 ms 23800 KB Output is correct
37 Correct 26 ms 23800 KB Output is correct
38 Correct 25 ms 23800 KB Output is correct
39 Correct 26 ms 23800 KB Output is correct
40 Correct 26 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 26 ms 23932 KB Output is correct

Subtask #3
0 / 49.0

# Verdict Execution time Memory Grader output
1 Correct 25 ms 23800 KB Output is correct
2 Correct 25 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 26 ms 23800 KB Output is correct
7 Correct 26 ms 23800 KB Output is correct
8 Correct 26 ms 23800 KB Output is correct
9 Correct 26 ms 23800 KB Output is correct
10 Correct 25 ms 23800 KB Output is correct
11 Correct 26 ms 23800 KB Output is correct
12 Correct 26 ms 23800 KB Output is correct
13 Correct 26 ms 23800 KB Output is correct
14 Correct 26 ms 23800 KB Output is correct
15 Correct 26 ms 23800 KB Output is correct
16 Correct 26 ms 23800 KB Output is correct
17 Correct 26 ms 23800 KB Output is correct
18 Correct 26 ms 23800 KB Output is correct
19 Correct 25 ms 23772 KB Output is correct
20 Correct 25 ms 23800 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 23928 KB Output is correct
24 Correct 26 ms 23800 KB Output is correct
25 Correct 26 ms 23800 KB Output is correct
26 Correct 26 ms 23800 KB Output is correct
27 Correct 26 ms 23800 KB Output is correct
28 Correct 26 ms 23900 KB Output is correct
29 Correct 26 ms 23800 KB Output is correct
30 Correct 26 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 26 ms 23928 KB Output is correct
34 Correct 26 ms 23800 KB Output is correct
35 Correct 26 ms 23772 KB Output is correct
36 Correct 26 ms 23800 KB Output is correct
37 Correct 26 ms 23800 KB Output is correct
38 Correct 25 ms 23800 KB Output is correct
39 Correct 26 ms 23800 KB Output is correct
40 Correct 26 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 26 ms 23932 KB Output is correct
44 Correct 426 ms 24312 KB Output is correct
45 Correct 516 ms 24472 KB Output is correct
46 Correct 599 ms 24292 KB Output is correct
47 Correct 431 ms 24372 KB Output is correct
48 Correct 418 ms 24376 KB Output is correct
49 Correct 515 ms 24312 KB Output is correct
50 Correct 487 ms 24184 KB Output is correct
51 Correct 427 ms 24068 KB Output is correct
52 Correct 464 ms 24300 KB Output is correct
53 Correct 433 ms 24312 KB Output is correct
54 Correct 405 ms 24076 KB Output is correct
55 Correct 462 ms 24340 KB Output is correct
56 Correct 509 ms 24180 KB Output is correct
57 Correct 497 ms 24312 KB Output is correct
58 Correct 534 ms 24296 KB Output is correct
59 Correct 466 ms 24276 KB Output is correct
60 Correct 509 ms 24312 KB Output is correct
61 Correct 478 ms 24332 KB Output is correct
62 Correct 27 ms 23800 KB Output is correct
63 Correct 28 ms 23928 KB Output is correct
64 Correct 333 ms 24244 KB Output is correct
65 Correct 435 ms 24672 KB Output is correct
66 Correct 326 ms 24500 KB Output is correct
67 Execution timed out 1082 ms 29552 KB Time limit exceeded
68 Halted 0 ms 0 KB -