oj.uz

Submission #819584

# Submission time Handle Problem Language Result Execution time Memory
819584 2023-08-10T11:55:05 Z rainboy Cell Automaton (JOI23_cell) C
33 / 100
 738 ms 21588 KB 
#include <stdio.h>

#define N	100000
#define SMALL	2000
#define M	(SMALL * 15)
#define MV	(N * 4)
#define ME	M
#define M_	(MV + ME * 2)
#define X	2000
#define T	1000
#define INF	0x3f3f3f3f

int min(int a, int b) { return a < b ? a : b; }
int abs_(int a) { return a > 0 ? a : -a; }

unsigned int Z = 12345;

int rand_() {
	return (Z *= 3) >> 1;
}

int xx[N], yy[N], n; long long uu[N], vv[N];

int ej[SMALL][SMALL], eo[SMALL];

int r;
long long tt[M]; int aa[M]; long long bb[M]; int hh[M], m;
int ttv[MV], xxv[MV], yyv[MV], mv;
int tte[2][ME], xxe[2][ME * 2], yye[2][ME], mme[2];
int tt_[M_], xx_[M_], yy_[M_], ww_[M_], hh_[M_], m_;
int tt1[M]; long long cc1[M]; int m1;

int compare_x(int i, int j) {
	return xx[i] == xx[j] ? 0 : (xx[i] < xx[j] ? -1 : 1);
}

int compare_t1(int i, int j) {
	return tt1[i] == tt1[j] ? 0 : (tt1[i] < tt1[j] ? -1 : 1);
}

long long dist(int i, int j) {
	return (long long) abs_(xx[j] - xx[i]) + abs_(yy[j] - yy[i]);
}

int i1;

int compare_d(int i, int j) {
	long long di = dist(i1, i), dj = dist(i1, j);

	return di == dj ? 0 : di < dj ? -1 : 1;
}

int compare_t(int h1, int h2) {
	return tt[h1] == tt[h2] ? 0 : (tt[h1] < tt[h2] ? -1 : 1);
}

int compare_t_(int h1, int h2) {
	return tt_[h1] == tt_[h2] ? 0 : (tt_[h1] < tt_[h2] ? -1 : 1);
}

int compare_yxw(int h1, int h2) {
	if (yy_[h1] != yy_[h2])
		return yy_[h1] < yy_[h2] ? -1 : 1;
	if (xx_[h1] != xx_[h2])
		return xx_[h1] < xx_[h2] ? -1 : 1;
	if (ww_[h1] != ww_[h2])
		return ww_[h1] < ww_[h2] ? -1 : 1;
	return 0;
}

int compare_xyw(int h1, int h2) {
	if (xx_[h1] != xx_[h2])
		return xx_[h1] < xx_[h2] ? -1 : 1;
	if (yy_[h1] != yy_[h2])
		return yy_[h1] < yy_[h2] ? -1 : 1;
	if (ww_[h1] != ww_[h2])
		return ww_[h1] < ww_[h2] ? -1 : 1;
	return 0;
}

int (*compare)(int, int);

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;
	}
}

void get_neighbors() {
	int i, j;

	for (i = 0; i < n; i++)
		for (j = 0; j < n; j++)
			if (j != i)
				ej[i][eo[i]++] = j;
	for (i = 0; i < n; i++)
		compare = compare_d, i1 = i, sort(ej[i], 0, eo[i]);
}

void add_func(long long t, int a, long long b) {
	tt[m] = t, aa[m] = a, bb[m] = b, m++;
}

void add_vertex(int t, int x, int y) {
	if ((x + y) % 2 != 0)
		return;
	if (r == 0)
		ttv[mv] = t, xxv[mv] = x, yyv[mv] = y, mv++;
	else if (r == 1)
		ttv[mv] = t, xxv[mv] = y, yyv[mv] = -x, mv++;
	else if (r == 2)
		ttv[mv] = t, xxv[mv] = -x, yyv[mv] = -y, mv++;
	else
		ttv[mv] = t, xxv[mv] = -y, yyv[mv] = x, mv++;
}

void add_edge(int t, int x1, int x2, int y) {
	if ((x1 + y) % 2 != 0)
		x1--;
	if ((x2 + y) % 2 != 0)
		x2++;
	if (x1 >= x2)
		return;
	if (r == 0) {
		tte[0][mme[0]] = t;
		xxe[0][mme[0] << 1 | 0] = x1, xxe[0][mme[0] << 1 | 1] = x2;
		yye[0][mme[0]] = y;
		mme[0]++;
	} else if (r == 1) {
		tte[1][mme[1]] = t;
		xxe[1][mme[1] << 1 | 0] = -x2, xxe[1][mme[1] << 1 | 1] = -x1;
		yye[1][mme[1]] = y;
		mme[1]++;
	} else if (r == 2) {
		tte[0][mme[0]] = t;
		xxe[0][mme[0] << 1 | 0] = -x2, xxe[0][mme[0] << 1 | 1] = -x1;
		yye[0][mme[0]] = -y;
		mme[0]++;
	} else {
		tte[1][mme[1]] = t;
		xxe[1][mme[1] << 1 | 0] = x1, xxe[1][mme[1] << 1 | 1] = x2;
		yye[1][mme[1]] = -y;
		mme[1]++;
	}
}

void get_events() {
	int h, i, j, o, tmp;
	long long t, ul, ur;

	for (r = 0; r < 4; r++) {
		for (i = 0; i < n; i++)
			uu[i] = xx[i] - yy[i], vv[i] = xx[i] + yy[i];
		for (i = 0; i < n; i++) {
			ul = -INF, ur = INF;
			for (o = 0; o < eo[i]; o++) {
				j = ej[i][o], t = dist(i, j);
				if (ul != -INF && ur != INF && t >= ur - ul) {
					add_func(ur - ul, 1, ul - ur);
					if ((ur - ul) % 2 == 0)
						add_vertex((ur - ul) / 2, (ul + ur) / 2, vv[i] + (ur - ul) / 2);
					break;
				}
				if (vv[i] <= vv[j] && xx[i] > xx[j]) {
					if (ul == -INF)
						add_func(t, -1, t), ul = uu[j];
				} else if (yy[i] >= yy[j] && vv[i] < vv[j]) {
					if (ur == INF)
						add_func(t, -1, t), ur = uu[j];
				} else if (xx[i] <= xx[j] && uu[i] > uu[j]) {
					if (ul == -INF) {
						if (ur != INF && t >= ur - uu[j]) {
							add_func(t, 0, uu[i] - ur);
							if (t % 2 == 0) {
								add_vertex(t / 2, ur - t / 2, vv[i] + t / 2);
								add_edge(t / 2, uu[i] - t / 2, ur - t / 2, vv[i] + t / 2);
							}
							break;
						} else {
							add_func(t, -1, uu[i] - uu[j]);
							if (t % 2 == 0)
								add_edge(t / 2, uu[i] - t / 2, uu[j] + t / 2, vv[i] + t / 2);
							ul = uu[j];
						}
					} else {
						if (ur != INF && t >= ur - uu[j]) {
							add_func(t, 1, ul - ur);
							if (t % 2 == 0) {
								add_vertex(t / 2, ur - t / 2, vv[i] + t / 2);
								add_edge(t / 2, ul + t / 2, ur - t / 2, vv[i] + t / 2);
							}
							break;
						} else if (ul < uu[j]) {
							add_func(t, 0, ul - uu[j]);
							if (t % 2 == 0)
								add_edge(t / 2, ul + t / 2, uu[j] + t / 2, vv[i] + t / 2);
							ul = uu[j];
						}
					}
				} else if (uu[i] <= uu[j] && yy[i] < yy[j]) {
					if (ur == INF) {
						if (ul != -INF && t >= uu[j] - ul) {
							add_func(t, 0, ul - uu[i]);
							if (t % 2 == 0) {
								add_vertex(t / 2, ul + t / 2, vv[i] + t / 2);
								add_edge(t / 2, ul + t / 2, uu[i] + t / 2, vv[i] + t / 2);
							}
							break;
						} else {
							add_func(t, -1, uu[j] - uu[i]);
							if (t % 2 == 0)
								add_edge(t / 2, uu[j] - t / 2, uu[i] + t / 2, vv[i] + t / 2);
							ur = uu[j];
						}
					} else {
						if (ul != -INF && t >= uu[j] - ul) {
							add_func(t, 1, ul - ur);
							if (t % 2 == 0) {
								add_vertex(t / 2, ul + t / 2, vv[i] + t / 2);
								add_edge(t / 2, ul + t / 2, ur - t / 2, vv[i] + t / 2);
							}
							break;
						} else if (ur > uu[j]) {
							add_func(t, 0, uu[j] - ur);
							if (t % 2 == 0)
								add_edge(t / 2, uu[j] - t / 2, ur - t / 2, vv[i] + t / 2);
							ur = uu[j];
						}
					}
				}
			}
			if (o == eo[i] && ul != -INF && ur != INF) {
				add_func(ur - ul, 1, ul - ur);
				if ((ur - ul) % 2 == 0)
					add_vertex((ur - ul) / 2, (ul + ur) / 2, vv[i] + (ur - ul) / 2);
			}
		}
		for (i = 0; i < n; i++)
			tmp = xx[i], xx[i] = -yy[i], yy[i] = tmp;
	}
	for (h = 0; h < m; h++)
		hh[h] = h;
	compare = compare_t, sort(hh, 0, m);
}

long long count_points(int *hh, int m) {
	long long c;
	int m_, h, h_, d, x_, y_;

	c = 0;
	compare = compare_yxw, sort(hh, 0, m);
	m_ = 0, d = 0, x_ = 0;
	for (h = 0; h < m; h++) {
		h_ = hh[h];
		if (ww_[h_] == 1) {
			hh[m_++] = h_;
			if (d++ == 0)
				x_ = xx_[h_];
		} else if (ww_[h_] == -1) {
			hh[m_++] = h_;
			if (--d == 0)
				c += ((long long) xx_[h_] - x_) / 2 - 1;
		} else if (ww_[h_] == 0)
			if (d == 0)
				hh[m_++] = h_;
	}
	m = m_;
	compare = compare_xyw, sort(hh, 0, m);
	m_ = 0, d = 0, y_ = 0;
	for (h = 0; h < m; h++) {
		h_ = hh[h];
		if (ww_[h_] == 2) {
			if (d++ == 0)
				y_ = yy_[h_];
		} else if (ww_[h_] == -2) {
			if (--d == 0)
				c += ((long long) yy_[h_] - y_) / 2 - 1;
		} else if (ww_[h_] == 0)
			if (d == 0)
				hh[m_++] = h_;
	}
	m = m_;
	for (h = 0; h < m; h++)
		if (h == 0 || xx_[hh[h]] != xx_[hh[h - 1]] || yy_[hh[h]] != yy_[hh[h - 1]])
			c++;
	return c;
}

void calc_extra() {
	int h, h_;
	long long t;

	for (h = 0; h < mv; h++)
		tt_[m_] = ttv[h], xx_[m_] = xxv[h], yy_[m_] = yyv[h], ww_[m_] = 0, m_++;
	for (h = 0; h < mme[0]; h++)
		if (xxe[0][h << 1 | 0] != xxe[0][h << 1 | 1]) {
			tt_[m_] = tte[0][h], xx_[m_] = xxe[0][h << 1 | 0], yy_[m_] = yye[0][h], ww_[m_] = 1, m_++;
			tt_[m_] = tte[0][h], xx_[m_] = xxe[0][h << 1 | 1], yy_[m_] = yye[0][h], ww_[m_] = -1, m_++;
		}
	for (h = 0; h < mme[1]; h++)
		if (xxe[1][h << 1 | 0] != xxe[1][h << 1 | 1]) {
			tt_[m_] = tte[1][h], xx_[m_] = yye[1][h], yy_[m_] = xxe[1][h << 1 | 0], ww_[m_] = 2, m_++;
			tt_[m_] = tte[1][h], xx_[m_] = yye[1][h], yy_[m_] = xxe[1][h << 1 | 1], ww_[m_] = -2, m_++;
		}
	for (h = 0; h < m_; h++)
		hh_[h] = h;
	compare = compare_t_, sort(hh_, 0, m_);
	for (h = 0; h < m_; h = h_) {
		t = tt_[hh_[h]], h_ = h + 1;
		while (h_ < m_ && tt_[hh_[h_]] == t)
			h_++;
		tt1[m1] = t, cc1[m1] = count_points(hh_ + h, h_ - h), m1++;
	}
}

int main() {
	int q, subtask, h, h1, i, x, y, a;
	long long t, b, ans;

	scanf("%d%d", &n, &q);
	for (i = 0; i < n; i++)
		scanf("%d%d", &xx[i], &yy[i]);
	if (n <= 2000)
		subtask = 6;
	else {
		subtask = 4;
		for (i = 0; i < n; i++)
			if (xx[i] != yy[i]) {
				subtask = 2;
				break;
			}
	}
	if (subtask == 2) {
		static int dd[X * 2 + 1][X * 2 + 1], nn[T + 1];

		for (x = 0; x <= X * 2; x++)
			for (y = 0; y <= X * 2; y++)
				dd[x][y] = T + 1;
		for (i = 0; i < n; i++)
			dd[X + xx[i]][X + yy[i]] = 0;
		for (x = 0; x <= X * 2; x++) {
			for (y = 1; y <= X * 2; y++)
				dd[x][y] = min(dd[x][y], dd[x][y - 1] + 1);
			for (y = X * 2 - 1; y >= 0; y--)
				dd[x][y] = min(dd[x][y], dd[x][y + 1] + 1);
		}
		for (y = 0; y <= X * 2; y++) {
			for (x = 1; x <= X * 2; x++)
				dd[x][y] = min(dd[x][y], dd[x - 1][y] + 1);
			for (x = X * 2 - 1; x >= 0; x--)
				dd[x][y] = min(dd[x][y], dd[x + 1][y] + 1);
		}
		for (x = 0; x <= X * 2; x++)
			for (y = 0; y <= X * 2; y++)
				if (dd[x][y] <= T)
					nn[dd[x][y]]++;
		while (q--) {
			scanf("%lld", &t);
			printf("%d\n", nn[t]);
		}
	} else if (subtask == 4) {
		static int ii[N];
		int i_;

		for (i = 0; i < n; i++)
			ii[i] = i;
		compare = compare_x, sort(ii, 0, n);
		for (i = 0; i + 1 < n; i++) {
			tt1[i] = xx[ii[i + 1]] - xx[ii[i]];
			ii[i] = i;
		}
		compare = compare_t1, sort(ii, 0, n - 1);
		i = 0, a = n * 4, b = 0;
		while (q--) {
			long long ans;

			scanf("%lld", &t);
			if (t == 0)
				printf("%d\n", n);
			else {
				while (i < n - 1 && tt1[i_ = ii[i]] < t) {
					a -= 4, b += (long long) tt1[i_] * 2;
					i++;
				}
				ans = 0;
				while (i < n - 1 && tt1[i_ = ii[i]] == t) {
					ans += t - 1;
					a -= 4, b += (long long) tt1[i_] * 2;
					i++;
				}
				ans += a * t + b;
				printf("%lld\n", ans);
			}
		}
	} else {
		get_neighbors();
		get_events();
		calc_extra();
		h = 0, h1 = 0, a = n * 4, b = 0;
		while (q--) {
			scanf("%lld", &t);
			if (t == 0)
				ans = n;
			else {
				while (h < m && tt[hh[h]] <= t * 2)
					a += aa[hh[h]], b += bb[hh[h]], h++;
				while (h1 < m1 && tt1[h1] < t)
					h1++;
				ans = (a * t * 2 + b) / 2;
				if (h1 < m1 && tt1[h1] == t)
					ans += cc1[h1];
			}
			printf("%lld\n", ans);
		}
	}
	return 0;
}

Compilation message

cell.c: In function 'main':
cell.c:336:2: warning: ignoring return value of 'scanf' declared with attribute 'warn_unused_result' [-Wunused-result]
  336 |  scanf("%d%d", &n, &q);
      |  ^~~~~~~~~~~~~~~~~~~~~
cell.c:338:3: warning: ignoring return value of 'scanf' declared with attribute 'warn_unused_result' [-Wunused-result]
  338 |   scanf("%d%d", &xx[i], &yy[i]);
      |   ^~~~~~~~~~~~~~~~~~~~~~~~~~~~~
cell.c:374:4: warning: ignoring return value of 'scanf' declared with attribute 'warn_unused_result' [-Wunused-result]
  374 |    scanf("%lld", &t);
      |    ^~~~~~~~~~~~~~~~~
cell.c:393:4: warning: ignoring return value of 'scanf' declared with attribute 'warn_unused_result' [-Wunused-result]
  393 |    scanf("%lld", &t);
      |    ^~~~~~~~~~~~~~~~~
cell.c:417:4: warning: ignoring return value of 'scanf' declared with attribute 'warn_unused_result' [-Wunused-result]
  417 |    scanf("%lld", &t);
      |    ^~~~~~~~~~~~~~~~~

Subtask #1
0 / 4.0

# Verdict Execution time Memory Grader output
1 Incorrect 0 ms 468 KB Output isn't correct
2 Halted 0 ms 0 KB -

Subtask #2
0 / 12.0

# Verdict Execution time Memory Grader output
1 Incorrect 0 ms 468 KB Output isn't correct
2 Halted 0 ms 0 KB -

Subtask #3
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 46 ms 1840 KB Output is correct
2 Correct 47 ms 1856 KB Output is correct
3 Correct 47 ms 1816 KB Output is correct
4 Correct 46 ms 1744 KB Output is correct
5 Correct 46 ms 1740 KB Output is correct
6 Correct 45 ms 1852 KB Output is correct
7 Correct 45 ms 1772 KB Output is correct
8 Correct 0 ms 212 KB Output is correct
9 Correct 0 ms 340 KB Output is correct
10 Correct 167 ms 8516 KB Output is correct
11 Correct 49 ms 1848 KB Output is correct

Subtask #4
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 46 ms 1840 KB Output is correct
2 Correct 47 ms 1856 KB Output is correct
3 Correct 47 ms 1816 KB Output is correct
4 Correct 46 ms 1744 KB Output is correct
5 Correct 46 ms 1740 KB Output is correct
6 Correct 45 ms 1852 KB Output is correct
7 Correct 45 ms 1772 KB Output is correct
8 Correct 0 ms 212 KB Output is correct
9 Correct 0 ms 340 KB Output is correct
10 Correct 167 ms 8516 KB Output is correct
11 Correct 49 ms 1848 KB Output is correct
12 Correct 149 ms 7384 KB Output is correct
13 Correct 153 ms 7324 KB Output is correct
14 Correct 163 ms 7292 KB Output is correct
15 Correct 153 ms 7372 KB Output is correct
16 Correct 92 ms 4020 KB Output is correct
17 Correct 95 ms 4120 KB Output is correct
18 Correct 104 ms 6332 KB Output is correct
19 Correct 152 ms 7372 KB Output is correct

Subtask #5
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 636 ms 16716 KB Output is correct
2 Correct 657 ms 16596 KB Output is correct
3 Correct 609 ms 16992 KB Output is correct
4 Correct 608 ms 17100 KB Output is correct

Subtask #6
0 / 25.0

# Verdict Execution time Memory Grader output
1 Correct 636 ms 16716 KB Output is correct
2 Correct 657 ms 16596 KB Output is correct
3 Correct 609 ms 16992 KB Output is correct
4 Correct 608 ms 17100 KB Output is correct
5 Incorrect 738 ms 21588 KB Output isn't correct
6 Halted 0 ms 0 KB -

Subtask #7
0 / 26.0

# Verdict Execution time Memory Grader output
1 Incorrect 0 ms 468 KB Output isn't correct
2 Halted 0 ms 0 KB -