oj.uz

Submission #132136

# Submission time Handle Problem Language Result Execution time Memory
132136 2019-07-18T10:43:16 Z onjo0127 Fences (JOI18_fences) C++11
51 / 100
 1000 ms 155172 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) {
	double tmp = CCW(A, B, C);
	if(f(tmp) < eps) return 0;
	if(tmp < 0) return -1;
	if(tmp > 0) return +1;
}
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)) < eps;
}
inline bool its(line A, line B) { // strict
	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];
bool IT[40009][40009];
 
inline bool ok(line L) {
	bool f = 0;
	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);
	vector<pii> rec = {{0, st}};
	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) || n.v > ans) 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) continue;
		for(auto& it: adj[n.id]) {
			int tc = n.c;
			if(IT[n.id][it.X]) tc = 1 - tc;
			if(D[tc][it.X] > n.v + it.Y) {
				D[tc][it.X] = n.v + it.Y;
				rec.push_back({tc, it.X});
				pq.push({D[tc][it.X], tc, it.X});
			}
		}
	}
	ans = min(ans, D[1][st]);
	for(auto& it: rec) D[it.X][it.Y] = 1e9;
}
 
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);
	// N = 100; S = 100;
	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);
		// A[i].S = {i, 100}; A[i].E = {i+1, 100};
		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++) {
		make_edge(2*i-2, 2*i-1, 0);
		for(int j=0; j<L; j++) {
			if(i == T[j].id) continue;
			pdd pu = push(A[i], T[j].D);
			double dp = dst(pu, T[j].D), ds = dst(T[j].D, A[i].S), de = dst(T[j].D, A[i].E);
			if(!ok({T[j].D, pu}) || !on(A[i], pu)) dp = 1e9;
			if(!ok({T[j].D, A[i].S})) ds = 1e9;
			if(!ok({T[j].D, A[i].E})) de = 1e9;
			if(min({ds, de, dp}) == 1e9) continue;
			if(dp <= ds && dp <= de) {
				int u = T.size();
				T.push_back({pu, i, 1});
				make_edge(u, j, dp);
				make_edge(u, 2*i-2, 0);
				continue;
			}
			if(ds <= de) make_edge(j, 2*i-2, ds);
			else make_edge(j, 2*i-1, de);
		}
	}
 
	for(int i=2*N; i<2*N+4; i++) {
		for(int j=i+1; j<2*N+4; j++) {
			if(!ok({T[i].D, T[j].D})) continue;
			make_edge(i, j, dst(T[i].D, T[j].D));
		}
	}
 
	K = T.size();
 
	for(int i=0; i<K; i++) {
		for(int j=i+1; j<K; j++) {
			if(its({T[i].D, T[j].D}, I)) IT[i][j] = IT[j][i] = 1;
		}
	}
 
	// 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<K; i++) D[0][i] = D[1][i] = 1e9;
	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:91:7: 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);
   ~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
fences.cpp: In function 'int CCWs(pdd, pdd, pdd)':
fences.cpp:27:1: warning: control reaches end of non-void function [-Wreturn-type]
 }
 ^

Subtask #1
18.0 / 18.0

# Verdict Execution time Memory Grader output
1 Correct 25 ms 23800 KB Output is correct
2 Correct 24 ms 23800 KB Output is correct
3 Correct 24 ms 23800 KB Output is correct
4 Correct 24 ms 23800 KB Output is correct
5 Correct 25 ms 23800 KB Output is correct
6 Correct 24 ms 23928 KB Output is correct
7 Correct 24 ms 23800 KB Output is correct
8 Correct 24 ms 23800 KB Output is correct
9 Correct 25 ms 23800 KB Output is correct
10 Correct 24 ms 23800 KB Output is correct
11 Correct 24 ms 23800 KB Output is correct
12 Correct 24 ms 23800 KB Output is correct
13 Correct 24 ms 23800 KB Output is correct
14 Correct 24 ms 23800 KB Output is correct
15 Correct 24 ms 23928 KB Output is correct
16 Correct 24 ms 23800 KB Output is correct
17 Correct 25 ms 23800 KB Output is correct
18 Correct 25 ms 23928 KB Output is correct
19 Correct 24 ms 23800 KB Output is correct
20 Correct 25 ms 23928 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 24 ms 23800 KB Output is correct
3 Correct 24 ms 23800 KB Output is correct
4 Correct 24 ms 23800 KB Output is correct
5 Correct 25 ms 23800 KB Output is correct
6 Correct 24 ms 23928 KB Output is correct
7 Correct 24 ms 23800 KB Output is correct
8 Correct 24 ms 23800 KB Output is correct
9 Correct 25 ms 23800 KB Output is correct
10 Correct 24 ms 23800 KB Output is correct
11 Correct 24 ms 23800 KB Output is correct
12 Correct 24 ms 23800 KB Output is correct
13 Correct 24 ms 23800 KB Output is correct
14 Correct 24 ms 23800 KB Output is correct
15 Correct 24 ms 23928 KB Output is correct
16 Correct 24 ms 23800 KB Output is correct
17 Correct 25 ms 23800 KB Output is correct
18 Correct 25 ms 23928 KB Output is correct
19 Correct 24 ms 23800 KB Output is correct
20 Correct 25 ms 23928 KB Output is correct
21 Correct 25 ms 23952 KB Output is correct
22 Correct 25 ms 24056 KB Output is correct
23 Correct 25 ms 23928 KB Output is correct
24 Correct 25 ms 23932 KB Output is correct
25 Correct 24 ms 23928 KB Output is correct
26 Correct 24 ms 23928 KB Output is correct
27 Correct 25 ms 23928 KB Output is correct
28 Correct 24 ms 23928 KB Output is correct
29 Correct 24 ms 23928 KB Output is correct
30 Correct 25 ms 23868 KB Output is correct
31 Correct 25 ms 23928 KB Output is correct
32 Correct 25 ms 23928 KB Output is correct
33 Correct 25 ms 23928 KB Output is correct
34 Correct 25 ms 23928 KB Output is correct
35 Correct 25 ms 23964 KB Output is correct
36 Correct 25 ms 24056 KB Output is correct
37 Correct 25 ms 23928 KB Output is correct
38 Correct 24 ms 23800 KB Output is correct
39 Correct 24 ms 23964 KB Output is correct
40 Correct 25 ms 23932 KB Output is correct
41 Correct 24 ms 23928 KB Output is correct
42 Correct 25 ms 23928 KB Output is correct
43 Correct 25 ms 24056 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 24 ms 23800 KB Output is correct
3 Correct 24 ms 23800 KB Output is correct
4 Correct 24 ms 23800 KB Output is correct
5 Correct 25 ms 23800 KB Output is correct
6 Correct 24 ms 23928 KB Output is correct
7 Correct 24 ms 23800 KB Output is correct
8 Correct 24 ms 23800 KB Output is correct
9 Correct 25 ms 23800 KB Output is correct
10 Correct 24 ms 23800 KB Output is correct
11 Correct 24 ms 23800 KB Output is correct
12 Correct 24 ms 23800 KB Output is correct
13 Correct 24 ms 23800 KB Output is correct
14 Correct 24 ms 23800 KB Output is correct
15 Correct 24 ms 23928 KB Output is correct
16 Correct 24 ms 23800 KB Output is correct
17 Correct 25 ms 23800 KB Output is correct
18 Correct 25 ms 23928 KB Output is correct
19 Correct 24 ms 23800 KB Output is correct
20 Correct 25 ms 23928 KB Output is correct
21 Correct 25 ms 23952 KB Output is correct
22 Correct 25 ms 24056 KB Output is correct
23 Correct 25 ms 23928 KB Output is correct
24 Correct 25 ms 23932 KB Output is correct
25 Correct 24 ms 23928 KB Output is correct
26 Correct 24 ms 23928 KB Output is correct
27 Correct 25 ms 23928 KB Output is correct
28 Correct 24 ms 23928 KB Output is correct
29 Correct 24 ms 23928 KB Output is correct
30 Correct 25 ms 23868 KB Output is correct
31 Correct 25 ms 23928 KB Output is correct
32 Correct 25 ms 23928 KB Output is correct
33 Correct 25 ms 23928 KB Output is correct
34 Correct 25 ms 23928 KB Output is correct
35 Correct 25 ms 23964 KB Output is correct
36 Correct 25 ms 24056 KB Output is correct
37 Correct 25 ms 23928 KB Output is correct
38 Correct 24 ms 23800 KB Output is correct
39 Correct 24 ms 23964 KB Output is correct
40 Correct 25 ms 23932 KB Output is correct
41 Correct 24 ms 23928 KB Output is correct
42 Correct 25 ms 23928 KB Output is correct
43 Correct 25 ms 24056 KB Output is correct
44 Correct 276 ms 62776 KB Output is correct
45 Correct 221 ms 45828 KB Output is correct
46 Correct 225 ms 41244 KB Output is correct
47 Correct 176 ms 34856 KB Output is correct
48 Correct 271 ms 61068 KB Output is correct
49 Correct 292 ms 52624 KB Output is correct
50 Correct 250 ms 43104 KB Output is correct
51 Correct 200 ms 36356 KB Output is correct
52 Correct 207 ms 38328 KB Output is correct
53 Correct 185 ms 40744 KB Output is correct
54 Correct 226 ms 47380 KB Output is correct
55 Correct 412 ms 61740 KB Output is correct
56 Correct 398 ms 61932 KB Output is correct
57 Correct 228 ms 40108 KB Output is correct
58 Correct 251 ms 42992 KB Output is correct
59 Correct 299 ms 49780 KB Output is correct
60 Correct 427 ms 62804 KB Output is correct
61 Correct 462 ms 69580 KB Output is correct
62 Correct 31 ms 24056 KB Output is correct
63 Correct 30 ms 24184 KB Output is correct
64 Correct 497 ms 67632 KB Output is correct
65 Correct 130 ms 25524 KB Output is correct
66 Correct 112 ms 25376 KB Output is correct
67 Correct 987 ms 155172 KB Output is correct
68 Execution timed out 1081 ms 155140 KB Time limit exceeded
69 Halted 0 ms 0 KB -