oj.uz

Submission #43963

# Submission time Handle Problem Language Result Execution time Memory
43963 2018-03-29T01:10:48 Z model_code Fences (JOI18_fences) C++17
100 / 100
 98 ms 1496 KB 
#include <cstdio>
#include <algorithm>
#include <cmath>
using namespace std;

typedef long long i64;
typedef double Double;

typedef pair<Double, Double> Pt;

const int MAXN = 200;
const int INFT = 1001001001;
const Double EPS = 1e-9;

int N, C;
int Ax[MAXN], Ay[MAXN], Bx[MAXN], By[MAXN];
Pt A[MAXN], B[MAXN];
Double cost[MAXN * 2][MAXN * 2];

bool isok(Double xa, Double ya, Double xb, Double yb, Double x, Double ylo, Double yhi)
{
	if (xb < xa) {
		swap(xa, xb);
		swap(ya, yb);
	}
	if (!(EPS < x - xa && EPS < xb - x)) return true;
	Double y = (x - xa) / (xb - xa) * (yb - ya) + ya;
	return !(EPS < y - ylo && EPS < yhi - y);
}

double triangle(Double xa, Double ya, Double xb, Double yb, Double xc, Double yc)
{
	xb -= xa; yb -= ya;
	xc -= xa; yc -= ya;
	return xb * yc - yb * xc;
}

bool cross(Pt a, Pt b, Pt c, Pt d)
{
	return
		triangle(a.first, a.second, b.first, b.second, c.first, c.second) * triangle(a.first, a.second, b.first, b.second, d.first, d.second) < 0
		&& triangle(c.first, c.second, d.first, d.second, a.first, a.second) * triangle(c.first, c.second, d.first, d.second, b.first, b.second) < 0;
}

bool isok(Pt a, Pt b)
{
	Double Cc = C;
	if (cross(a, b, { -Cc, -Cc }, { -Cc, Cc })) return false;
	if (cross(a, b, { -Cc, -Cc }, { Cc, -Cc })) return false;
	if (cross(a, b, { Cc, Cc }, { -Cc, Cc })) return false;
	if (cross(a, b, { Cc, Cc }, { Cc, -Cc })) return false;
	if (cross(a, b, { -Cc, -Cc }, { 0, Cc })) return false;
	if (cross(a, b, { Cc, -Cc }, { 0, Cc })) return false;

	if (-Cc + EPS < a.first && a.first < Cc - EPS && -Cc + EPS < a.second && a.second < Cc - EPS) return false;
	if (-Cc + EPS < b.first && b.first < Cc - EPS && -Cc + EPS < b.second && b.second < Cc - EPS) return false;

	return true;
}
bool cross(Pt a, Pt b)
{
	if (b.first < a.first) swap(a, b);
	if (!(!(EPS < a.first) && EPS < b.first)) return false;
	
	Double y = (0 - a.first) / (b.first - a.first) * (b.second - a.second) + a.second;
	return 0 < y;
}
Double check(Pt a, Pt b)
{
	if (!isok(a, b)) return INFT;

	Double dd = (b.first - a.first) * (b.first - a.first) + (b.second - a.second) * (b.second - a.second);
	return sqrt(dd);
}
Pt sd(Pt a, Pt b, Pt x)
{
	Pt aa(b.first - a.first, b.second - a.second);
	if (fabs(aa.first) < EPS && fabs(aa.second) < EPS) return a;

	Pt xa(x.first - a.first, x.second - a.second);
	Double t = (aa.first * xa.first + aa.second * xa.second) / (aa.first * aa.first + aa.second * aa.second);
	if (t < -EPS || 1 + EPS < t) return a;
	return{ a.first + aa.first * t, a.second + aa.second * t };
}

Double dd[12][12];

void apply(int s, int t, Pt a, Pt b, Pt abase, Pt bbase)
{
	Double dist = check(a, b);
	bool sgn = cross(abase, a) ^ cross(a, b) ^ cross(b, bbase);
	if (sgn) {
		dd[s * 2][t * 2 + 1] = min(dd[s * 2][t * 2 + 1], dist);
		dd[s * 2 + 1][t * 2] = dd[t * 2][s * 2 + 1] = dd[t * 2 + 1][s * 2] = dd[s * 2][t * 2 + 1];
	} else {
		dd[s * 2][t * 2] = min(dd[s * 2][t * 2], dist);
		dd[s * 2 + 1][t * 2 + 1] = dd[t * 2][s * 2] = dd[t * 2 + 1][s * 2 + 1] = dd[s * 2][t * 2];
	}
}
pair<Double, Double> compute(int u, int v)
{
	for (int i = 0; i < 12; ++i) {
		for (int j = 0; j < 12; ++j) {
			dd[i][j] = (i == j ? 0.0 : INFT);
		}
	}
	Pt corner[4] = {
		{-C, -C},
		{-C, C},
		{C, -C},
		{C, C}
	};
	apply(0, 1, A[u], A[v], A[u], A[v]);
	apply(0, 1, A[u], B[v], A[u], A[v]);
	apply(0, 1, B[u], A[v], A[u], A[v]);
	apply(0, 1, B[u], B[v], A[u], A[v]);
	apply(0, 1, A[u], sd(A[v], B[v], A[u]), A[u], A[v]);
	apply(0, 1, B[u], sd(A[v], B[v], B[u]), A[u], A[v]);
	apply(0, 1, A[v], sd(A[u], B[u], A[v]), A[v], A[u]);
	apply(0, 1, B[v], sd(A[u], B[u], B[v]), A[v], A[u]);

	for (int i = 0; i < 6; ++i) {
		for (int j = i + 1; j < 6; ++j) {
			if (i == 0 && j == 1) continue;

			if (i < 2) {
				int n = (i == 0 ? u : v);
				apply(i, j, A[n], corner[j - 2], A[n], corner[j - 2]);
				apply(i, j, B[n], corner[j - 2], A[n], corner[j - 2]);
				apply(i, j, sd(A[n], B[n], corner[j - 2]), corner[j - 2], A[n], corner[j - 2]);
			} else {
				apply(i, j, corner[i - 2], corner[j - 2], corner[i - 2], corner[j - 2]);
			}
		}
	}
	for (int i = 0; i < 12; ++i) {
		for (int j = 0; j < 12; ++j) {
			for (int k = 0; k < 12; ++k) {
				dd[j][k] = min(dd[j][k], dd[j][i] + dd[i][k]);
			}
		}
	}
	return{ dd[0][2], dd[0][3] };
}

int main()
{
	scanf("%d%d", &N, &C);
	for (int i = 0; i < N; ++i) {
		scanf("%d%d%d%d", Ax + i, Ay + i, Bx + i, By + i);
		A[i] = make_pair(Double(Ax[i]), Double(Ay[i]));
		B[i] = make_pair(Double(Bx[i]), Double(By[i]));
	}
	for (int i = 0; i < 2 * N; ++i) {
		for (int j = 0; j < 2 * N; ++j) {
			cost[i][j] = (i == j ? 0 : INFT);
		}
	}
	for (int i = 0; i < N; ++i) {
		for (int j = 0; j < N; ++j) {
			auto dist = compute(i, j);
			cost[i * 2][j * 2] = cost[i * 2 + 1][j * 2 + 1] = dist.first;
			cost[i * 2 + 1][j * 2] = cost[i * 2][j * 2 + 1] = dist.second;
		}
	}
	for (int i = 0; i < 2 * N; ++i) {
		for (int j = 0; j < 2 * N; ++j) {
			for (int k = 0; k < 2 * N; ++k) {
				cost[j][k] = min(cost[j][k], cost[j][i] + cost[i][k]);
			}
		}
	}
	Double ret = 8 * C;
	for (int i = 0; i < N; ++i) {
		ret = min(ret, cost[i * 2][i * 2 + 1]);
	}
	printf("%.10f\n", (double)ret);

	return 0;
}

Compilation message

fences.cpp: In function 'int main()':
fences.cpp:148:7: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
  scanf("%d%d", &N, &C);
  ~~~~~^~~~~~~~~~~~~~~~
fences.cpp:150:8: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
   scanf("%d%d%d%d", Ax + i, Ay + i, Bx + i, By + i);
   ~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Subtask #1
18.0 / 18.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 376 KB Output is correct
2 Correct 2 ms 476 KB Output is correct
3 Correct 2 ms 476 KB Output is correct
4 Correct 2 ms 476 KB Output is correct
5 Correct 2 ms 476 KB Output is correct
6 Correct 2 ms 508 KB Output is correct
7 Correct 2 ms 508 KB Output is correct
8 Correct 2 ms 524 KB Output is correct
9 Correct 2 ms 656 KB Output is correct
10 Correct 2 ms 688 KB Output is correct
11 Correct 2 ms 688 KB Output is correct
12 Correct 2 ms 688 KB Output is correct
13 Correct 2 ms 688 KB Output is correct
14 Correct 2 ms 688 KB Output is correct
15 Correct 2 ms 688 KB Output is correct
16 Correct 2 ms 688 KB Output is correct
17 Correct 2 ms 688 KB Output is correct
18 Correct 2 ms 688 KB Output is correct
19 Correct 2 ms 688 KB Output is correct
20 Correct 2 ms 688 KB Output is correct

Subtask #2
33.0 / 33.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 376 KB Output is correct
2 Correct 2 ms 476 KB Output is correct
3 Correct 2 ms 476 KB Output is correct
4 Correct 2 ms 476 KB Output is correct
5 Correct 2 ms 476 KB Output is correct
6 Correct 2 ms 508 KB Output is correct
7 Correct 2 ms 508 KB Output is correct
8 Correct 2 ms 524 KB Output is correct
9 Correct 2 ms 656 KB Output is correct
10 Correct 2 ms 688 KB Output is correct
11 Correct 2 ms 688 KB Output is correct
12 Correct 2 ms 688 KB Output is correct
13 Correct 2 ms 688 KB Output is correct
14 Correct 2 ms 688 KB Output is correct
15 Correct 2 ms 688 KB Output is correct
16 Correct 2 ms 688 KB Output is correct
17 Correct 2 ms 688 KB Output is correct
18 Correct 2 ms 688 KB Output is correct
19 Correct 2 ms 688 KB Output is correct
20 Correct 2 ms 688 KB Output is correct
21 Correct 2 ms 688 KB Output is correct
22 Correct 2 ms 724 KB Output is correct
23 Correct 2 ms 728 KB Output is correct
24 Correct 2 ms 728 KB Output is correct
25 Correct 2 ms 728 KB Output is correct
26 Correct 2 ms 740 KB Output is correct
27 Correct 2 ms 744 KB Output is correct
28 Correct 2 ms 748 KB Output is correct
29 Correct 2 ms 752 KB Output is correct
30 Correct 3 ms 756 KB Output is correct
31 Correct 2 ms 760 KB Output is correct
32 Correct 2 ms 764 KB Output is correct
33 Correct 2 ms 768 KB Output is correct
34 Correct 2 ms 772 KB Output is correct
35 Correct 2 ms 776 KB Output is correct
36 Correct 2 ms 780 KB Output is correct
37 Correct 2 ms 784 KB Output is correct
38 Correct 2 ms 792 KB Output is correct
39 Correct 2 ms 792 KB Output is correct
40 Correct 2 ms 796 KB Output is correct
41 Correct 2 ms 800 KB Output is correct
42 Correct 2 ms 804 KB Output is correct
43 Correct 2 ms 808 KB Output is correct

Subtask #3
49.0 / 49.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 376 KB Output is correct
2 Correct 2 ms 476 KB Output is correct
3 Correct 2 ms 476 KB Output is correct
4 Correct 2 ms 476 KB Output is correct
5 Correct 2 ms 476 KB Output is correct
6 Correct 2 ms 508 KB Output is correct
7 Correct 2 ms 508 KB Output is correct
8 Correct 2 ms 524 KB Output is correct
9 Correct 2 ms 656 KB Output is correct
10 Correct 2 ms 688 KB Output is correct
11 Correct 2 ms 688 KB Output is correct
12 Correct 2 ms 688 KB Output is correct
13 Correct 2 ms 688 KB Output is correct
14 Correct 2 ms 688 KB Output is correct
15 Correct 2 ms 688 KB Output is correct
16 Correct 2 ms 688 KB Output is correct
17 Correct 2 ms 688 KB Output is correct
18 Correct 2 ms 688 KB Output is correct
19 Correct 2 ms 688 KB Output is correct
20 Correct 2 ms 688 KB Output is correct
21 Correct 2 ms 688 KB Output is correct
22 Correct 2 ms 724 KB Output is correct
23 Correct 2 ms 728 KB Output is correct
24 Correct 2 ms 728 KB Output is correct
25 Correct 2 ms 728 KB Output is correct
26 Correct 2 ms 740 KB Output is correct
27 Correct 2 ms 744 KB Output is correct
28 Correct 2 ms 748 KB Output is correct
29 Correct 2 ms 752 KB Output is correct
30 Correct 3 ms 756 KB Output is correct
31 Correct 2 ms 760 KB Output is correct
32 Correct 2 ms 764 KB Output is correct
33 Correct 2 ms 768 KB Output is correct
34 Correct 2 ms 772 KB Output is correct
35 Correct 2 ms 776 KB Output is correct
36 Correct 2 ms 780 KB Output is correct
37 Correct 2 ms 784 KB Output is correct
38 Correct 2 ms 792 KB Output is correct
39 Correct 2 ms 792 KB Output is correct
40 Correct 2 ms 796 KB Output is correct
41 Correct 2 ms 800 KB Output is correct
42 Correct 2 ms 804 KB Output is correct
43 Correct 2 ms 808 KB Output is correct
44 Correct 62 ms 1416 KB Output is correct
45 Correct 56 ms 1416 KB Output is correct
46 Correct 66 ms 1428 KB Output is correct
47 Correct 55 ms 1436 KB Output is correct
48 Correct 58 ms 1436 KB Output is correct
49 Correct 79 ms 1440 KB Output is correct
50 Correct 58 ms 1476 KB Output is correct
51 Correct 58 ms 1476 KB Output is correct
52 Correct 98 ms 1476 KB Output is correct
53 Correct 74 ms 1476 KB Output is correct
54 Correct 58 ms 1476 KB Output is correct
55 Correct 61 ms 1476 KB Output is correct
56 Correct 65 ms 1476 KB Output is correct
57 Correct 58 ms 1492 KB Output is correct
58 Correct 57 ms 1492 KB Output is correct
59 Correct 60 ms 1492 KB Output is correct
60 Correct 59 ms 1492 KB Output is correct
61 Correct 60 ms 1492 KB Output is correct
62 Correct 3 ms 1492 KB Output is correct
63 Correct 2 ms 1492 KB Output is correct
64 Correct 52 ms 1492 KB Output is correct
65 Correct 56 ms 1492 KB Output is correct
66 Correct 50 ms 1492 KB Output is correct
67 Correct 51 ms 1492 KB Output is correct
68 Correct 63 ms 1496 KB Output is correct
69 Correct 59 ms 1496 KB Output is correct
70 Correct 54 ms 1496 KB Output is correct
71 Correct 62 ms 1496 KB Output is correct
72 Correct 57 ms 1496 KB Output is correct