oj.uz

Submission #819577

# Submission time Handle Problem Language Result Execution time Memory
819577 2023-08-10T11:53:15 Z rainboy Cell Automaton (JOI23_cell) C
33 / 100
 753 ms 21500 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 48 ms 1852 KB Output is correct
2 Correct 48 ms 1848 KB Output is correct
3 Correct 47 ms 1852 KB Output is correct
4 Correct 47 ms 1764 KB Output is correct
5 Correct 47 ms 1752 KB Output is correct
6 Correct 47 ms 1848 KB Output is correct
7 Correct 46 ms 1744 KB Output is correct
8 Correct 0 ms 212 KB Output is correct
9 Correct 0 ms 340 KB Output is correct
10 Correct 168 ms 8368 KB Output is correct
11 Correct 47 ms 1848 KB Output is correct

Subtask #4
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 48 ms 1852 KB Output is correct
2 Correct 48 ms 1848 KB Output is correct
3 Correct 47 ms 1852 KB Output is correct
4 Correct 47 ms 1764 KB Output is correct
5 Correct 47 ms 1752 KB Output is correct
6 Correct 47 ms 1848 KB Output is correct
7 Correct 46 ms 1744 KB Output is correct
8 Correct 0 ms 212 KB Output is correct
9 Correct 0 ms 340 KB Output is correct
10 Correct 168 ms 8368 KB Output is correct
11 Correct 47 ms 1848 KB Output is correct
12 Correct 161 ms 7312 KB Output is correct
13 Correct 181 ms 7376 KB Output is correct
14 Correct 152 ms 7360 KB Output is correct
15 Correct 151 ms 7360 KB Output is correct
16 Correct 93 ms 3972 KB Output is correct
17 Correct 93 ms 4044 KB Output is correct
18 Correct 112 ms 6284 KB Output is correct
19 Correct 161 ms 7400 KB Output is correct

Subtask #5
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 642 ms 16468 KB Output is correct
2 Correct 677 ms 16460 KB Output is correct
3 Correct 616 ms 17000 KB Output is correct
4 Correct 620 ms 17036 KB Output is correct

Subtask #6
0 / 25.0

# Verdict Execution time Memory Grader output
1 Correct 642 ms 16468 KB Output is correct
2 Correct 677 ms 16460 KB Output is correct
3 Correct 616 ms 17000 KB Output is correct
4 Correct 620 ms 17036 KB Output is correct
5 Incorrect 753 ms 21500 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 -