oj.uz

Submission #132003

# Submission time Handle Problem Language Result Execution time Memory
132003 2019-07-18T07:33:14 Z 이온조(#3189) Fences (JOI18_fences) C++14
51 / 100
 1000 ms 134232 KB 
#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);
			if(ok({T[j].D, pu}) && on(A[i], pu)) {
				// 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;
			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:107:17: 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:26:1: warning: control reaches end of non-void function [-Wreturn-type]
 }
 ^
fences.cpp: In function 'int main()':
fences.cpp:92:7: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
  scanf("%d%d",&N,&S);
  ~~~~~^~~~~~~~~~~~~~
fences.cpp:95:8: 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 23 ms 23800 KB Output is correct
2 Correct 23 ms 23800 KB Output is correct
3 Correct 23 ms 23800 KB Output is correct
4 Correct 24 ms 23800 KB Output is correct
5 Correct 23 ms 23800 KB Output is correct
6 Correct 24 ms 23836 KB Output is correct
7 Correct 23 ms 23800 KB Output is correct
8 Correct 23 ms 23800 KB Output is correct
9 Correct 23 ms 23800 KB Output is correct
10 Correct 23 ms 23800 KB Output is correct
11 Correct 23 ms 23800 KB Output is correct
12 Correct 23 ms 23800 KB Output is correct
13 Correct 23 ms 23800 KB Output is correct
14 Correct 23 ms 23800 KB Output is correct
15 Correct 24 ms 23800 KB Output is correct
16 Correct 23 ms 23804 KB Output is correct
17 Correct 24 ms 23800 KB Output is correct
18 Correct 24 ms 23928 KB Output is correct
19 Correct 24 ms 23800 KB Output is correct
20 Correct 24 ms 23932 KB Output is correct

Subtask #2
33.0 / 33.0

# Verdict Execution time Memory Grader output
1 Correct 23 ms 23800 KB Output is correct
2 Correct 23 ms 23800 KB Output is correct
3 Correct 23 ms 23800 KB Output is correct
4 Correct 24 ms 23800 KB Output is correct
5 Correct 23 ms 23800 KB Output is correct
6 Correct 24 ms 23836 KB Output is correct
7 Correct 23 ms 23800 KB Output is correct
8 Correct 23 ms 23800 KB Output is correct
9 Correct 23 ms 23800 KB Output is correct
10 Correct 23 ms 23800 KB Output is correct
11 Correct 23 ms 23800 KB Output is correct
12 Correct 23 ms 23800 KB Output is correct
13 Correct 23 ms 23800 KB Output is correct
14 Correct 23 ms 23800 KB Output is correct
15 Correct 24 ms 23800 KB Output is correct
16 Correct 23 ms 23804 KB Output is correct
17 Correct 24 ms 23800 KB Output is correct
18 Correct 24 ms 23928 KB Output is correct
19 Correct 24 ms 23800 KB Output is correct
20 Correct 24 ms 23932 KB Output is correct
21 Correct 24 ms 23800 KB Output is correct
22 Correct 24 ms 23800 KB Output is correct
23 Correct 26 ms 23800 KB Output is correct
24 Correct 24 ms 23800 KB Output is correct
25 Correct 24 ms 23800 KB Output is correct
26 Correct 25 ms 23800 KB Output is correct
27 Correct 24 ms 23800 KB Output is correct
28 Correct 24 ms 23800 KB Output is correct
29 Correct 24 ms 23800 KB Output is correct
30 Correct 24 ms 23800 KB Output is correct
31 Correct 24 ms 23800 KB Output is correct
32 Correct 24 ms 23800 KB Output is correct
33 Correct 29 ms 23800 KB Output is correct
34 Correct 24 ms 23804 KB Output is correct
35 Correct 25 ms 23800 KB Output is correct
36 Correct 26 ms 23800 KB Output is correct
37 Correct 24 ms 23800 KB Output is correct
38 Correct 24 ms 23800 KB Output is correct
39 Correct 24 ms 23800 KB Output is correct
40 Correct 24 ms 23800 KB Output is correct
41 Correct 23 ms 23800 KB Output is correct
42 Correct 23 ms 23800 KB Output is correct
43 Correct 24 ms 23800 KB Output is correct

Subtask #3
0 / 49.0

# Verdict Execution time Memory Grader output
1 Correct 23 ms 23800 KB Output is correct
2 Correct 23 ms 23800 KB Output is correct
3 Correct 23 ms 23800 KB Output is correct
4 Correct 24 ms 23800 KB Output is correct
5 Correct 23 ms 23800 KB Output is correct
6 Correct 24 ms 23836 KB Output is correct
7 Correct 23 ms 23800 KB Output is correct
8 Correct 23 ms 23800 KB Output is correct
9 Correct 23 ms 23800 KB Output is correct
10 Correct 23 ms 23800 KB Output is correct
11 Correct 23 ms 23800 KB Output is correct
12 Correct 23 ms 23800 KB Output is correct
13 Correct 23 ms 23800 KB Output is correct
14 Correct 23 ms 23800 KB Output is correct
15 Correct 24 ms 23800 KB Output is correct
16 Correct 23 ms 23804 KB Output is correct
17 Correct 24 ms 23800 KB Output is correct
18 Correct 24 ms 23928 KB Output is correct
19 Correct 24 ms 23800 KB Output is correct
20 Correct 24 ms 23932 KB Output is correct
21 Correct 24 ms 23800 KB Output is correct
22 Correct 24 ms 23800 KB Output is correct
23 Correct 26 ms 23800 KB Output is correct
24 Correct 24 ms 23800 KB Output is correct
25 Correct 24 ms 23800 KB Output is correct
26 Correct 25 ms 23800 KB Output is correct
27 Correct 24 ms 23800 KB Output is correct
28 Correct 24 ms 23800 KB Output is correct
29 Correct 24 ms 23800 KB Output is correct
30 Correct 24 ms 23800 KB Output is correct
31 Correct 24 ms 23800 KB Output is correct
32 Correct 24 ms 23800 KB Output is correct
33 Correct 29 ms 23800 KB Output is correct
34 Correct 24 ms 23804 KB Output is correct
35 Correct 25 ms 23800 KB Output is correct
36 Correct 26 ms 23800 KB Output is correct
37 Correct 24 ms 23800 KB Output is correct
38 Correct 24 ms 23800 KB Output is correct
39 Correct 24 ms 23800 KB Output is correct
40 Correct 24 ms 23800 KB Output is correct
41 Correct 23 ms 23800 KB Output is correct
42 Correct 23 ms 23800 KB Output is correct
43 Correct 24 ms 23800 KB Output is correct
44 Execution timed out 1089 ms 134232 KB Time limit exceeded
45 Halted 0 ms 0 KB -