oj.uz

Submission #466747

# Submission time Handle Problem Language Result Execution time Memory
466747 2021-08-20T15:37:52 Z rainboy Hexagonal Territory (APIO21_hexagon) C++17
66 / 100
 2000 ms 33356 KB 
#include "hexagon.h"
#include <stdlib.h>
#include <vector>
 
using namespace std;
 
typedef vector<int> vi;
 
const int N = 200000, MD = 1000000007, V2 = 500000004, V6 = 166666668;
 
int min(int a, int b) { return a < b ? a : b; }
int max(int a, int b) { return a > b ? a : b; }
 
unsigned int X = 12345;
 
int rand_() {
	return (X *= 3) >> 1;
}
 
int dx[] = { 1, 1, 0, -1, -1, 0 };
int dy[] = { 0, 1, 1, 0, -1, -1 };
 
int choose2(int n) {
	return (long long) n * (n - 1) % MD * V2 % MD;
}
 
int choose3(int n) {
	return (long long) n * (n - 1) % MD * (n - 2) % MD * V6 % MD;
}
 
long long cross(int x1, int y1, int x2, int y2) {
	return (long long) x1 * y2 - (long long) x2 * y1;
}
 
int hh[N], ll[N], ii[N], xx[N][2], yy[N], n, n_;
 
void add(long long x1, long long y1, long long x2, long long y2) {
	if (y1 < y2)
		xx[n_][0] = x1, xx[n_][1] = x2, yy[n_] = y1, n_++;
	else if (y1 > y2)
		xx[n_][0] = x2, xx[n_][1] = x1, yy[n_] = y2, n_++;
}
 
int compare(int i, int j) {
	int c = yy[i] != yy[j] ? yy[i] - yy[j] : (xx[i][0] + xx[i][1]) - (xx[j][0] + xx[j][1]);
 
	return c == 0 ? 0 : (c < 0 ? -1 : 1);
}
 
void sort(int *ii, int l, int r) {
	while (l < r) {
		int i = l, j = l, k = r, i_ = ii[l + rand_() % (r - l)], tmp;
 
		while (j < k) {
			int c = compare(ii[j], i_);
 
			if (c == 0)
				j++;
			else if (c < 0) {
				tmp = ii[i], ii[i] = ii[j], ii[j] = tmp;
				i++, j++;
			} else {
				k--;
				tmp = ii[j], ii[j] = ii[k], ii[k] = tmp;
			}
		}
		sort(ii, l, i);
		l = k;
	}
}
 
int *ej[N], eo[N];
 
void append(int i, int j) {
	int o = eo[i]++;
 
	if (o >= 2 && (o & o - 1) == 0)
		ej[i] = (int *) realloc(ej[i], o * 2 * sizeof *ej[i]);
	ej[i][o] = j;
}
 
int area(int xi1, int xi2, int xj1, int xj2, int z, int l) {
	int d = ((xj2 - xj1) - (xi2 - xi1)) / l, h, ans;
 
	ans = 0;
	for (h = 1; h < l; h++)
		ans = (ans + (long long) (xi2 - xi1 + 1 + d * h) * (z + h)) % MD;
	return ans;
}
 
int dfs(int p, int i, int d, int l) {
	int i_, s, xi1, xi2, o, x;
 
	i_ = i >> 1, s = i & 1, xi1 = xx[ii[i_ << 1 | 0]][s], xi2 = xx[ii[i_ << 1 | 1]][s];
	x = (long long) d * (xi2 - xi1 + 1) % MD;
	for (o = eo[i]; o--; ) {
		int j = ej[i][o];
 
		if (j != p) {
			int j_ = j >> 1, t = j & 1, xj1 = xx[ii[j_ << 1 | 0]][t], xj2 = xx[ii[j_ << 1 | 1]][t];
 
			if ((i ^ j) == 1)
				x = (x + dfs(i, j, d + l, l) + area(xi1, xi2, xj1, xj2, d, l)) % MD; 
			else {
				x = (x + dfs(i, j, d, l)) % MD;
				x = (x - (long long) d * (min(xi2, xj2) - max(xi1, xj1) + 1)) % MD;
			}
		}
	}
	return x;
}
 
int solve() {
	int l_, h, i, j, k, l, x, y, ans;
 
	l_ = ll[0];
	for (i = 0; i < n; i++)
		if (ll[i] != ll[0]) {
			l_ = 1;
			break;
		}
	if (l_ == 1) {
		n_ = 0, x = 0, y = 0;
		for (i = 0; i < n; i++)
			for (l = 0; l < ll[i]; l++)
				add(x, y, x + dx[hh[i]], y + dy[hh[i]]), x += dx[hh[i]], y += dy[hh[i]];
	} else {
		n_ = 0, x = 0, y = 0;
		for (i = 0; i < n; i++)
			add(x, y, x + dx[hh[i]] * l_, y + dy[hh[i]] * l_), x += dx[hh[i]] * l_, y += dy[hh[i]] * l_;
	}
	for (i = 0; i < n_; i++)
		ii[i] = i;
	sort(ii, 0, n_);
	n_ /= 2;
	for (i = 0; i < n_ * 2; i++)
		ej[i] = (int *) malloc(2 * sizeof *ej[i]), eo[i] = 0;
	for (i = 0; i < n_; i++)
		append(i << 1 | 0, i << 1 | 1), append(i << 1 | 1, i << 1 | 0);
	for (h = -1, i = 0; i < n_; h = i, i = j) {
		int y = yy[ii[i << 1 | 0]];
 
		j = i + 1;
		while (j < n_ && yy[ii[j << 1 | 0]] == y)
			j++;
		if (h != -1) {
			k = h, l = i;
			while (k < i && l < j)
				if (xx[ii[k << 1 | 1]][1] < xx[ii[l << 1 | 1]][0]) {
					if (xx[ii[l << 1 | 0]][0] <= xx[ii[k << 1 | 1]][1])
						append(k << 1 | 1, l << 1 | 0), append(l << 1 | 0, k << 1 | 1);
					k++;
				} else {
					if (xx[ii[k << 1 | 0]][1] <= xx[ii[l << 1 | 1]][0])
						append(k << 1 | 1, l << 1 | 0), append(l << 1 | 0, k << 1 | 1);
					l++;
				}
		}
	}
	ans = 0;
	for (i = 0; i < n_; i++) {
		int i0 = ii[i << 1 | 0], i1 = ii[i << 1 | 1];
 
		if (yy[i0] == 0 && xx[i0][0] <= 0 && 0 <= xx[i1][0]) {
			ans = dfs(-1, i << 1 | 0, 0, l_);
			for (i = 0; i < n_ * 2; i++)
				free(ej[i]);
			break;
		}
		if (yy[i1] + l_ == 0 && xx[i0][1] <= 0 && 0 <= xx[i1][1]) {
			ans = dfs(-1, i << 1 | 1, 0, l_);
			for (i = 0; i < n_ * 2; i++)
				free(ej[i]);
			break;
		}
	}
	return ans;
}
 
int draw_territory(int n_, int a, int b, vi hh_, vi ll_) {
	int h, i, x, y, ans1, ans2;
	long long area2, boundary, internal;
 
	n = n_;
	for (i = 0; i < n; i++)
		hh[i] = hh_[i] - 1, ll[i] = ll_[i];
	x = 0, y = 0, area2 = 0, boundary = 0;
	for (i = 0; i < n; i++) {
		h = hh[i];
		area2 += cross(x, y, x + dx[h] * ll[i], y + dy[h] * ll[i]);
		boundary += ll[i];
		x += dx[h] * ll[i], y += dy[h] * ll[i];
	}
	if (area2 < 0)
		area2 = -area2;
	internal = (area2 - boundary) / 2 + 1;
	ans1 = (boundary + internal) % MD, ans2 = 0;
	if (n == 3)
		ans2 = choose3(ll[0] + 2) * 2 % MD;
	else if (b > 0) {
		ans2 = 0;
		for (h = 0; h < 3; h++) {
			ans2 = (ans2 + solve()) % MD;
			for (i = 0; i < n; i++)
				hh[i] = (hh[i] + 1) % 6;
		}
		if (ans2 < 0)
			ans2 += MD;
		ans2 = (long long) ans2 * V2 % MD;
	}
	return ((long long) ans1 * a + (long long) ans2 * b) % MD;
}

Compilation message

hexagon.cpp: In function 'void append(int, int)':
hexagon.cpp:77:23: warning: suggest parentheses around '-' in operand of '&' [-Wparentheses]
   77 |  if (o >= 2 && (o & o - 1) == 0)
      |                     ~~^~~

Subtask #1
3.0 / 3.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 204 KB Output is correct
2 Correct 1 ms 204 KB Output is correct
3 Correct 0 ms 204 KB Output is correct
4 Correct 0 ms 204 KB Output is correct
5 Correct 1 ms 204 KB Output is correct

Subtask #2
6.0 / 6.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 204 KB Output is correct
2 Correct 0 ms 204 KB Output is correct
3 Correct 0 ms 204 KB Output is correct
4 Correct 1 ms 204 KB Output is correct
5 Correct 0 ms 204 KB Output is correct
6 Correct 1 ms 204 KB Output is correct
7 Correct 0 ms 204 KB Output is correct
8 Correct 0 ms 204 KB Output is correct
9 Correct 0 ms 204 KB Output is correct
10 Correct 0 ms 204 KB Output is correct
11 Correct 0 ms 204 KB Output is correct
12 Correct 1 ms 204 KB Output is correct

Subtask #3
11.0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 204 KB Output is correct
2 Correct 1 ms 332 KB Output is correct
3 Correct 1 ms 332 KB Output is correct
4 Correct 1 ms 332 KB Output is correct
5 Correct 2 ms 460 KB Output is correct
6 Correct 1 ms 332 KB Output is correct
7 Correct 1 ms 332 KB Output is correct
8 Correct 1 ms 332 KB Output is correct
9 Correct 1 ms 460 KB Output is correct
10 Correct 2 ms 460 KB Output is correct
11 Correct 1 ms 460 KB Output is correct
12 Correct 1 ms 540 KB Output is correct
13 Correct 1 ms 460 KB Output is correct
14 Correct 1 ms 460 KB Output is correct
15 Correct 1 ms 460 KB Output is correct
16 Correct 1 ms 588 KB Output is correct
17 Correct 1 ms 588 KB Output is correct
18 Correct 0 ms 204 KB Output is correct
19 Correct 0 ms 204 KB Output is correct
20 Correct 0 ms 204 KB Output is correct

Subtask #4
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 204 KB Output is correct
2 Correct 2 ms 460 KB Output is correct
3 Correct 1 ms 332 KB Output is correct
4 Correct 1 ms 204 KB Output is correct
5 Correct 1 ms 332 KB Output is correct
6 Correct 2 ms 460 KB Output is correct
7 Correct 6 ms 972 KB Output is correct
8 Correct 1 ms 204 KB Output is correct
9 Correct 1 ms 204 KB Output is correct
10 Correct 0 ms 204 KB Output is correct
11 Correct 9 ms 1448 KB Output is correct
12 Correct 10 ms 1484 KB Output is correct
13 Correct 9 ms 1356 KB Output is correct
14 Correct 13 ms 1532 KB Output is correct
15 Correct 1 ms 332 KB Output is correct
16 Correct 1 ms 204 KB Output is correct
17 Correct 0 ms 204 KB Output is correct
18 Correct 0 ms 204 KB Output is correct
19 Correct 0 ms 204 KB Output is correct

Subtask #5
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 204 KB Output is correct
2 Correct 0 ms 204 KB Output is correct
3 Correct 0 ms 204 KB Output is correct
4 Correct 2 ms 460 KB Output is correct
5 Correct 1 ms 332 KB Output is correct
6 Correct 0 ms 204 KB Output is correct
7 Correct 1 ms 332 KB Output is correct
8 Correct 2 ms 460 KB Output is correct
9 Correct 7 ms 972 KB Output is correct
10 Correct 1 ms 204 KB Output is correct
11 Correct 1 ms 204 KB Output is correct
12 Correct 1 ms 204 KB Output is correct
13 Correct 12 ms 1356 KB Output is correct
14 Correct 10 ms 1484 KB Output is correct
15 Correct 9 ms 1356 KB Output is correct
16 Correct 10 ms 1472 KB Output is correct
17 Correct 1 ms 332 KB Output is correct
18 Correct 0 ms 204 KB Output is correct
19 Correct 0 ms 204 KB Output is correct
20 Correct 17 ms 2076 KB Output is correct
21 Correct 2 ms 460 KB Output is correct
22 Correct 1 ms 332 KB Output is correct
23 Correct 21 ms 2800 KB Output is correct
24 Correct 35 ms 4332 KB Output is correct
25 Correct 46 ms 4548 KB Output is correct
26 Correct 17 ms 2380 KB Output is correct
27 Correct 17 ms 1692 KB Output is correct
28 Correct 11 ms 1316 KB Output is correct
29 Correct 39 ms 4920 KB Output is correct
30 Correct 39 ms 4936 KB Output is correct
31 Correct 39 ms 4928 KB Output is correct
32 Correct 41 ms 4932 KB Output is correct
33 Correct 18 ms 2508 KB Output is correct
34 Correct 9 ms 1356 KB Output is correct
35 Correct 1 ms 204 KB Output is correct
36 Correct 0 ms 204 KB Output is correct
37 Correct 0 ms 204 KB Output is correct

Subtask #6
19.0 / 19.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 204 KB Output is correct
2 Correct 1 ms 332 KB Output is correct
3 Correct 1 ms 332 KB Output is correct
4 Correct 1 ms 332 KB Output is correct
5 Correct 1 ms 460 KB Output is correct
6 Correct 1 ms 332 KB Output is correct
7 Correct 1 ms 332 KB Output is correct
8 Correct 1 ms 332 KB Output is correct
9 Correct 1 ms 460 KB Output is correct
10 Correct 1 ms 460 KB Output is correct
11 Correct 1 ms 460 KB Output is correct
12 Correct 1 ms 460 KB Output is correct
13 Correct 1 ms 460 KB Output is correct
14 Correct 1 ms 460 KB Output is correct
15 Correct 1 ms 460 KB Output is correct
16 Correct 1 ms 588 KB Output is correct
17 Correct 1 ms 588 KB Output is correct
18 Correct 0 ms 204 KB Output is correct
19 Correct 2 ms 460 KB Output is correct
20 Correct 1 ms 332 KB Output is correct
21 Correct 1 ms 204 KB Output is correct
22 Correct 1 ms 332 KB Output is correct
23 Correct 2 ms 460 KB Output is correct
24 Correct 6 ms 972 KB Output is correct
25 Correct 1 ms 332 KB Output is correct
26 Correct 1 ms 204 KB Output is correct
27 Correct 1 ms 204 KB Output is correct
28 Correct 9 ms 1356 KB Output is correct
29 Correct 10 ms 1484 KB Output is correct
30 Correct 10 ms 1356 KB Output is correct
31 Correct 10 ms 1472 KB Output is correct
32 Correct 1 ms 332 KB Output is correct
33 Correct 1 ms 204 KB Output is correct
34 Correct 55 ms 10820 KB Output is correct
35 Correct 53 ms 5700 KB Output is correct
36 Correct 51 ms 6080 KB Output is correct
37 Correct 77 ms 9852 KB Output is correct
38 Correct 82 ms 9668 KB Output is correct
39 Correct 86 ms 11548 KB Output is correct
40 Correct 86 ms 11276 KB Output is correct
41 Correct 138 ms 22468 KB Output is correct
42 Correct 144 ms 18576 KB Output is correct
43 Correct 126 ms 16008 KB Output is correct
44 Correct 85 ms 20500 KB Output is correct
45 Correct 77 ms 17308 KB Output is correct
46 Correct 75 ms 16920 KB Output is correct
47 Correct 128 ms 22596 KB Output is correct
48 Correct 154 ms 28612 KB Output is correct
49 Correct 144 ms 33296 KB Output is correct
50 Correct 0 ms 204 KB Output is correct
51 Correct 1 ms 204 KB Output is correct
52 Correct 0 ms 204 KB Output is correct
53 Correct 0 ms 204 KB Output is correct
54 Correct 0 ms 204 KB Output is correct
55 Correct 0 ms 204 KB Output is correct
56 Correct 1 ms 204 KB Output is correct
57 Correct 0 ms 204 KB Output is correct

Subtask #7
0 / 18.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 204 KB Output is correct
2 Correct 0 ms 204 KB Output is correct
3 Correct 0 ms 204 KB Output is correct
4 Correct 0 ms 204 KB Output is correct
5 Execution timed out 2059 ms 204 KB Time limit exceeded
6 Halted 0 ms 0 KB -

Subtask #8
0 / 16.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 204 KB Output is correct
2 Correct 0 ms 204 KB Output is correct
3 Correct 0 ms 204 KB Output is correct
4 Correct 1 ms 204 KB Output is correct
5 Correct 0 ms 204 KB Output is correct
6 Correct 1 ms 332 KB Output is correct
7 Correct 1 ms 332 KB Output is correct
8 Correct 1 ms 332 KB Output is correct
9 Correct 2 ms 460 KB Output is correct
10 Correct 1 ms 332 KB Output is correct
11 Correct 2 ms 332 KB Output is correct
12 Correct 1 ms 332 KB Output is correct
13 Correct 1 ms 460 KB Output is correct
14 Correct 1 ms 460 KB Output is correct
15 Correct 1 ms 460 KB Output is correct
16 Correct 1 ms 460 KB Output is correct
17 Correct 1 ms 460 KB Output is correct
18 Correct 1 ms 460 KB Output is correct
19 Correct 1 ms 460 KB Output is correct
20 Correct 2 ms 588 KB Output is correct
21 Correct 1 ms 588 KB Output is correct
22 Correct 1 ms 204 KB Output is correct
23 Correct 3 ms 460 KB Output is correct
24 Correct 1 ms 332 KB Output is correct
25 Correct 1 ms 204 KB Output is correct
26 Correct 1 ms 332 KB Output is correct
27 Correct 2 ms 460 KB Output is correct
28 Correct 6 ms 1048 KB Output is correct
29 Correct 1 ms 204 KB Output is correct
30 Correct 1 ms 204 KB Output is correct
31 Correct 1 ms 204 KB Output is correct
32 Correct 9 ms 1448 KB Output is correct
33 Correct 10 ms 1356 KB Output is correct
34 Correct 9 ms 1300 KB Output is correct
35 Correct 10 ms 1484 KB Output is correct
36 Correct 1 ms 204 KB Output is correct
37 Correct 0 ms 204 KB Output is correct
38 Correct 0 ms 204 KB Output is correct
39 Correct 16 ms 2072 KB Output is correct
40 Correct 2 ms 480 KB Output is correct
41 Correct 1 ms 332 KB Output is correct
42 Correct 23 ms 2792 KB Output is correct
43 Correct 35 ms 4336 KB Output is correct
44 Correct 35 ms 4548 KB Output is correct
45 Correct 17 ms 2404 KB Output is correct
46 Correct 14 ms 1740 KB Output is correct
47 Correct 9 ms 1228 KB Output is correct
48 Correct 39 ms 4932 KB Output is correct
49 Correct 39 ms 4936 KB Output is correct
50 Correct 40 ms 4932 KB Output is correct
51 Correct 50 ms 4932 KB Output is correct
52 Correct 19 ms 2456 KB Output is correct
53 Correct 9 ms 1316 KB Output is correct
54 Correct 47 ms 10772 KB Output is correct
55 Correct 51 ms 5708 KB Output is correct
56 Correct 48 ms 6088 KB Output is correct
57 Correct 79 ms 9792 KB Output is correct
58 Correct 82 ms 9668 KB Output is correct
59 Correct 85 ms 11460 KB Output is correct
60 Correct 82 ms 11276 KB Output is correct
61 Correct 143 ms 22504 KB Output is correct
62 Correct 132 ms 18636 KB Output is correct
63 Correct 123 ms 16048 KB Output is correct
64 Correct 77 ms 20492 KB Output is correct
65 Correct 78 ms 17236 KB Output is correct
66 Correct 76 ms 17168 KB Output is correct
67 Correct 125 ms 22592 KB Output is correct
68 Correct 138 ms 28656 KB Output is correct
69 Correct 158 ms 33356 KB Output is correct
70 Execution timed out 2082 ms 204 KB Time limit exceeded
71 Halted 0 ms 0 KB -