Submission #173456

# Submission time Handle Problem Language Result Execution time Memory
173456 2020-01-04T07:38:37 Z super_j6 Fences (JOI18_fences) C++14
100 / 100
74 ms 1784 KB
#include <iostream>
#include <cstdio>
#include <algorithm>
#include <iomanip>
#include <math.h>
using namespace std;
#define endl '\n'
#define pi pair<int, int>

int cp(long long x, long long y, int X, int Y){
	return x * Y == X * y ? 0 : x * Y < X * y ? -1 : 1;
}

int il(int x1, int y1, int X1, int Y1, int x2, int y2, int X2, int Y2){
	int a = cp(X1 - x1, Y1 - y1, x2 - x1, y2 - y1);
	int b = cp(X1 - x1, Y1 - y1, X2 - x1, Y2 - y1);
	int c = cp(X2 - x2, Y2 - y2, x1 - x2, y1 - y2);
	int d = cp(X2 - x2, Y2 - y2, X1 - x2, Y1 - y2);
	return a && b && c && d && a != b && c != d;
}

const int maxn = 408, p = 1000000007;
int n, s, m;
int a[maxn], b[maxn];
double dp[maxn][maxn];

int gc(int x, int y, int X, int Y){
	return il(x, y, X, Y, 0, 0, p, 1) ? cp(x, y, p, 1) : 0;
}

void up(int i, int j, double d, int c){
	c &= 1;
	dp[i][j + c * m] = min(dp[i][j + c * m], d);
	dp[j + c * m][i] = min(dp[j + c * m][i], d);
	dp[i + m][j + (1 - c) * m] = min(dp[i + m][j + (1 - c) * m], d);
	dp[j + (1 - c) * m][i + m] = min(dp[j + (1 - c) * m][i + m], d);
}

void di(long long x, long long y, int X, int Y, int s, double &d){
	for(int i = 2 * n; i < 2 * n + 2; i++){
		if(il(x, y, X, Y, a[i] * s, b[i] * s, a[i + 2] * s, b[i + 2] * s)){
			return;
		}
	}
	d = sqrt((X - x) * (X - x) + (Y - y) * (Y - y)) / s;
}

int main(){
	ios::sync_with_stdio(false);
	cin.tie(NULL);
	cout << fixed << setprecision(6);
	
	cin >> n >> s;
	m = 2 * n + 4;
	
	for(int i = 0; i < n; i++){
		cin >> a[2 * i] >> b[2 * i] >> a[2 * i + 1] >> b[2 * i + 1];
	}
	a[2 * n] = a[2 * n + 1] = b[2 * n] = b[2 * n + 3] = s;
	a[2 * n + 2] = a[2 * n + 3] = b[2 * n + 1] = b[2 * n + 2] = -s;
	
	for(int i = 0; i < 2 * m; i++)
	for(int j = 0; j < 2 * m; j++){
		dp[i][j] = 8 * s;
	}
	/*
	for(int i = 0; i < n; i++)
	for(int j = 0; j < i; j++){
		if(il(a[2 * i], b[2 * i], a[2 * i + 1], b[2 * i + 1], a[2 * j], b[2 * j], a[2 * j + 1], b[2 * j + 1])){
			for(int k = 0; k < 4; k++){
				up(2 * i + k % 2, 2 * j + k / 2, 0, gc(a[2 * i + k % 2], b[2 * i + k % 2], a[2 * j + k / 2], b[2 * j + k / 2]));
			}
		}
	}
	*/
	for(int i = 0; i < m; i++)
	for(int j = 0; 2 * j < m; j++){
		double d = 8 * s;
		for(int k = 2 * j; k < 2 * j + 2; k++, d = 8 * s){
			di(a[i], b[i], a[k], b[k], 1, d);
			if(d < 8 * s){
				up(i, k, d, gc(a[i], b[i], a[k], b[k]));
			}
		}
		if(j < n){
			int bx = a[2 * j + 1] - a[2 * j], by = b[2 * j + 1] - b[2 * j];
			int bm = bx * bx + by * by, adb = (a[i] - a[2 * j]) * bx + (b[i] - b[2 * j]) * by;
			if(0 <= adb && adb <= bm){
				int cx = adb * bx + a[2 * j] * bm, cy = adb * by + b[2 * j] * bm;
				di(a[i] * bm, b[i] * bm, cx, cy, bm, d);
				if(d < 8 * s){
					for(int k = 2 * j; k < 2 * j + 2; k++){
						up(i, k, d, gc(a[i] * bm, b[i] * bm, cx, cy) + gc(cx, cy, a[k] * bm, b[k] * bm));
					}
				}
			}
		}
	}
	
	for(int k = 0; k < 2 * m; k++)
	for(int i = 0; i < 2 * m; i++)
	for(int j = 0; j < 2 * m; j++){
		dp[i][j] = min(dp[i][j], dp[i][k] + dp[k][j]);
	}
	
	double ret = 8 * s;
	for(int i = 0; i < m; i++){
		ret = min(ret, dp[i][i + m]);
	}
	
	cout << ret << endl;

	return 0;
}
# Verdict Execution time Memory Grader output
1 Correct 2 ms 376 KB Output is correct
2 Correct 2 ms 376 KB Output is correct
3 Correct 2 ms 376 KB Output is correct
4 Correct 2 ms 376 KB Output is correct
5 Correct 2 ms 376 KB Output is correct
6 Correct 2 ms 376 KB Output is correct
7 Correct 2 ms 376 KB Output is correct
8 Correct 2 ms 376 KB Output is correct
9 Correct 2 ms 376 KB Output is correct
10 Correct 2 ms 376 KB Output is correct
11 Correct 2 ms 376 KB Output is correct
12 Correct 2 ms 376 KB Output is correct
13 Correct 2 ms 380 KB Output is correct
14 Correct 2 ms 376 KB Output is correct
15 Correct 2 ms 376 KB Output is correct
16 Correct 2 ms 376 KB Output is correct
17 Correct 2 ms 376 KB Output is correct
18 Correct 2 ms 376 KB Output is correct
19 Correct 2 ms 376 KB Output is correct
20 Correct 2 ms 376 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 2 ms 376 KB Output is correct
2 Correct 2 ms 376 KB Output is correct
3 Correct 2 ms 376 KB Output is correct
4 Correct 2 ms 376 KB Output is correct
5 Correct 2 ms 376 KB Output is correct
6 Correct 2 ms 376 KB Output is correct
7 Correct 2 ms 376 KB Output is correct
8 Correct 2 ms 376 KB Output is correct
9 Correct 2 ms 376 KB Output is correct
10 Correct 2 ms 376 KB Output is correct
11 Correct 2 ms 376 KB Output is correct
12 Correct 2 ms 376 KB Output is correct
13 Correct 2 ms 380 KB Output is correct
14 Correct 2 ms 376 KB Output is correct
15 Correct 2 ms 376 KB Output is correct
16 Correct 2 ms 376 KB Output is correct
17 Correct 2 ms 376 KB Output is correct
18 Correct 2 ms 376 KB Output is correct
19 Correct 2 ms 376 KB Output is correct
20 Correct 2 ms 376 KB Output is correct
21 Correct 2 ms 376 KB Output is correct
22 Correct 2 ms 376 KB Output is correct
23 Correct 3 ms 376 KB Output is correct
24 Correct 3 ms 504 KB Output is correct
25 Correct 3 ms 376 KB Output is correct
26 Correct 2 ms 504 KB Output is correct
27 Correct 3 ms 504 KB Output is correct
28 Correct 3 ms 376 KB Output is correct
29 Correct 2 ms 376 KB Output is correct
30 Correct 2 ms 504 KB Output is correct
31 Correct 2 ms 376 KB Output is correct
32 Correct 2 ms 376 KB Output is correct
33 Correct 3 ms 376 KB Output is correct
34 Correct 3 ms 380 KB Output is correct
35 Correct 2 ms 376 KB Output is correct
36 Correct 3 ms 504 KB Output is correct
37 Correct 3 ms 508 KB Output is correct
38 Correct 2 ms 376 KB Output is correct
39 Correct 3 ms 376 KB Output is correct
40 Correct 2 ms 376 KB Output is correct
41 Correct 3 ms 376 KB Output is correct
42 Correct 3 ms 428 KB Output is correct
43 Correct 2 ms 376 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 2 ms 376 KB Output is correct
2 Correct 2 ms 376 KB Output is correct
3 Correct 2 ms 376 KB Output is correct
4 Correct 2 ms 376 KB Output is correct
5 Correct 2 ms 376 KB Output is correct
6 Correct 2 ms 376 KB Output is correct
7 Correct 2 ms 376 KB Output is correct
8 Correct 2 ms 376 KB Output is correct
9 Correct 2 ms 376 KB Output is correct
10 Correct 2 ms 376 KB Output is correct
11 Correct 2 ms 376 KB Output is correct
12 Correct 2 ms 376 KB Output is correct
13 Correct 2 ms 380 KB Output is correct
14 Correct 2 ms 376 KB Output is correct
15 Correct 2 ms 376 KB Output is correct
16 Correct 2 ms 376 KB Output is correct
17 Correct 2 ms 376 KB Output is correct
18 Correct 2 ms 376 KB Output is correct
19 Correct 2 ms 376 KB Output is correct
20 Correct 2 ms 376 KB Output is correct
21 Correct 2 ms 376 KB Output is correct
22 Correct 2 ms 376 KB Output is correct
23 Correct 3 ms 376 KB Output is correct
24 Correct 3 ms 504 KB Output is correct
25 Correct 3 ms 376 KB Output is correct
26 Correct 2 ms 504 KB Output is correct
27 Correct 3 ms 504 KB Output is correct
28 Correct 3 ms 376 KB Output is correct
29 Correct 2 ms 376 KB Output is correct
30 Correct 2 ms 504 KB Output is correct
31 Correct 2 ms 376 KB Output is correct
32 Correct 2 ms 376 KB Output is correct
33 Correct 3 ms 376 KB Output is correct
34 Correct 3 ms 380 KB Output is correct
35 Correct 2 ms 376 KB Output is correct
36 Correct 3 ms 504 KB Output is correct
37 Correct 3 ms 508 KB Output is correct
38 Correct 2 ms 376 KB Output is correct
39 Correct 3 ms 376 KB Output is correct
40 Correct 2 ms 376 KB Output is correct
41 Correct 3 ms 376 KB Output is correct
42 Correct 3 ms 428 KB Output is correct
43 Correct 2 ms 376 KB Output is correct
44 Correct 73 ms 1724 KB Output is correct
45 Correct 74 ms 1692 KB Output is correct
46 Correct 73 ms 1656 KB Output is correct
47 Correct 72 ms 1656 KB Output is correct
48 Correct 74 ms 1656 KB Output is correct
49 Correct 73 ms 1684 KB Output is correct
50 Correct 73 ms 1656 KB Output is correct
51 Correct 72 ms 1784 KB Output is correct
52 Correct 72 ms 1684 KB Output is correct
53 Correct 72 ms 1688 KB Output is correct
54 Correct 72 ms 1688 KB Output is correct
55 Correct 73 ms 1656 KB Output is correct
56 Correct 73 ms 1784 KB Output is correct
57 Correct 73 ms 1656 KB Output is correct
58 Correct 72 ms 1656 KB Output is correct
59 Correct 73 ms 1724 KB Output is correct
60 Correct 72 ms 1656 KB Output is correct
61 Correct 73 ms 1656 KB Output is correct
62 Correct 2 ms 504 KB Output is correct
63 Correct 2 ms 552 KB Output is correct
64 Correct 67 ms 1656 KB Output is correct
65 Correct 71 ms 1660 KB Output is correct
66 Correct 66 ms 1656 KB Output is correct
67 Correct 65 ms 1656 KB Output is correct
68 Correct 66 ms 1528 KB Output is correct
69 Correct 73 ms 1684 KB Output is correct
70 Correct 61 ms 1528 KB Output is correct
71 Correct 71 ms 1784 KB Output is correct
72 Correct 72 ms 1784 KB Output is correct