oj.uz

Submission #132017

# Submission time Handle Problem Language Result Execution time Memory
132017 2019-07-18T08:05:08 Z 이온조(#3189) Fences (JOI18_fences) C++14
51 / 100
 1000 ms 49532 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)) < 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}});
	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) 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;
				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++) {
		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 && f; 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);
			}
			// 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 && f; 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<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: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: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);
   ~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

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 25 ms 23800 KB Output is correct
4 Correct 25 ms 23800 KB Output is correct
5 Correct 25 ms 23800 KB Output is correct
6 Correct 25 ms 23800 KB Output is correct
7 Correct 25 ms 23800 KB Output is correct
8 Correct 27 ms 24056 KB Output is correct
9 Correct 25 ms 23800 KB Output is correct
10 Correct 25 ms 23800 KB Output is correct
11 Correct 30 ms 23800 KB Output is correct
12 Correct 27 ms 23800 KB Output is correct
13 Correct 25 ms 23800 KB Output is correct
14 Correct 25 ms 23800 KB Output is correct
15 Correct 25 ms 23800 KB Output is correct
16 Correct 25 ms 23800 KB Output is correct
17 Correct 25 ms 23800 KB Output is correct
18 Correct 25 ms 23800 KB Output is correct
19 Correct 25 ms 23800 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 25 ms 23800 KB Output is correct
4 Correct 25 ms 23800 KB Output is correct
5 Correct 25 ms 23800 KB Output is correct
6 Correct 25 ms 23800 KB Output is correct
7 Correct 25 ms 23800 KB Output is correct
8 Correct 27 ms 24056 KB Output is correct
9 Correct 25 ms 23800 KB Output is correct
10 Correct 25 ms 23800 KB Output is correct
11 Correct 30 ms 23800 KB Output is correct
12 Correct 27 ms 23800 KB Output is correct
13 Correct 25 ms 23800 KB Output is correct
14 Correct 25 ms 23800 KB Output is correct
15 Correct 25 ms 23800 KB Output is correct
16 Correct 25 ms 23800 KB Output is correct
17 Correct 25 ms 23800 KB Output is correct
18 Correct 25 ms 23800 KB Output is correct
19 Correct 25 ms 23800 KB Output is correct
20 Correct 25 ms 23800 KB Output is correct
21 Correct 25 ms 23928 KB Output is correct
22 Correct 25 ms 23804 KB Output is correct
23 Correct 26 ms 23928 KB Output is correct
24 Correct 25 ms 23800 KB Output is correct
25 Correct 25 ms 23800 KB Output is correct
26 Correct 30 ms 23800 KB Output is correct
27 Correct 30 ms 23804 KB Output is correct
28 Correct 26 ms 23928 KB Output is correct
29 Correct 26 ms 23800 KB Output is correct
30 Correct 25 ms 23800 KB Output is correct
31 Correct 25 ms 23772 KB Output is correct
32 Correct 25 ms 23804 KB Output is correct
33 Correct 25 ms 23800 KB Output is correct
34 Correct 25 ms 23800 KB Output is correct
35 Correct 31 ms 23800 KB Output is correct
36 Correct 31 ms 23800 KB Output is correct
37 Correct 30 ms 23800 KB Output is correct
38 Correct 25 ms 23800 KB Output is correct
39 Correct 25 ms 23800 KB Output is correct
40 Correct 25 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 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 25 ms 23800 KB Output is correct
3 Correct 25 ms 23800 KB Output is correct
4 Correct 25 ms 23800 KB Output is correct
5 Correct 25 ms 23800 KB Output is correct
6 Correct 25 ms 23800 KB Output is correct
7 Correct 25 ms 23800 KB Output is correct
8 Correct 27 ms 24056 KB Output is correct
9 Correct 25 ms 23800 KB Output is correct
10 Correct 25 ms 23800 KB Output is correct
11 Correct 30 ms 23800 KB Output is correct
12 Correct 27 ms 23800 KB Output is correct
13 Correct 25 ms 23800 KB Output is correct
14 Correct 25 ms 23800 KB Output is correct
15 Correct 25 ms 23800 KB Output is correct
16 Correct 25 ms 23800 KB Output is correct
17 Correct 25 ms 23800 KB Output is correct
18 Correct 25 ms 23800 KB Output is correct
19 Correct 25 ms 23800 KB Output is correct
20 Correct 25 ms 23800 KB Output is correct
21 Correct 25 ms 23928 KB Output is correct
22 Correct 25 ms 23804 KB Output is correct
23 Correct 26 ms 23928 KB Output is correct
24 Correct 25 ms 23800 KB Output is correct
25 Correct 25 ms 23800 KB Output is correct
26 Correct 30 ms 23800 KB Output is correct
27 Correct 30 ms 23804 KB Output is correct
28 Correct 26 ms 23928 KB Output is correct
29 Correct 26 ms 23800 KB Output is correct
30 Correct 25 ms 23800 KB Output is correct
31 Correct 25 ms 23772 KB Output is correct
32 Correct 25 ms 23804 KB Output is correct
33 Correct 25 ms 23800 KB Output is correct
34 Correct 25 ms 23800 KB Output is correct
35 Correct 31 ms 23800 KB Output is correct
36 Correct 31 ms 23800 KB Output is correct
37 Correct 30 ms 23800 KB Output is correct
38 Correct 25 ms 23800 KB Output is correct
39 Correct 25 ms 23800 KB Output is correct
40 Correct 25 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 25 ms 24056 KB Output is correct
44 Correct 92 ms 24184 KB Output is correct
45 Correct 144 ms 24328 KB Output is correct
46 Correct 185 ms 24448 KB Output is correct
47 Correct 140 ms 24172 KB Output is correct
48 Correct 96 ms 24184 KB Output is correct
49 Correct 150 ms 24280 KB Output is correct
50 Correct 156 ms 24324 KB Output is correct
51 Correct 148 ms 24176 KB Output is correct
52 Correct 147 ms 24236 KB Output is correct
53 Correct 129 ms 24232 KB Output is correct
54 Correct 120 ms 24220 KB Output is correct
55 Correct 141 ms 24296 KB Output is correct
56 Correct 155 ms 24240 KB Output is correct
57 Correct 157 ms 24276 KB Output is correct
58 Correct 172 ms 24360 KB Output is correct
59 Correct 145 ms 24388 KB Output is correct
60 Correct 160 ms 24284 KB Output is correct
61 Correct 145 ms 24252 KB Output is correct
62 Correct 26 ms 23800 KB Output is correct
63 Correct 27 ms 23800 KB Output is correct
64 Correct 143 ms 24436 KB Output is correct
65 Correct 238 ms 24664 KB Output is correct
66 Correct 170 ms 24488 KB Output is correct
67 Execution timed out 1077 ms 49532 KB Time limit exceeded
68 Halted 0 ms 0 KB -