Submission #927312

#	Time	Username	Problem	Language	Result	Execution time	Memory
927312		rainboy	Cell Automaton (JOI23_cell)	C11	58 / 100	258 ms	72288 KiB

cell

#include <stdio.h>
#include <stdlib.h>
#include <string.h>

#define N	100000
#define N_	2000
#define Q	500000
#define X	2000
#define T	1000
#define INF	0x7fffffff

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

unsigned int Z = 12345;

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

int xx[N], yy[N], uu[N], vv[N]; int tt_[N], n;
int tt[Q]; long long ans[Q]; int q;

int *ww;

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 = ww[ii[j]] != ww[i_] ? (ww[ii[j]] < ww[i_] ? -1 : 1) : (xx[ii[j]] != xx[i_] ? (xx[ii[j]] < xx[i_] ? -1 : 1) : 0);

			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 solve2() {
	static int dd[X * 2 + 1][X * 2 + 1], nn[T + 1];
	int h, i, x, y;

	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);
	}
	memset(nn, 0, (T + 1) * sizeof *nn);
	for (x = 0; x <= X * 2; x++)
		for (y = 0; y <= X * 2; y++)
			if (dd[x][y] <= T)
				nn[dd[x][y]]++;
	for (h = 0; h < q; h++)
		ans[h] = nn[tt[h]];
}

void solve4() {
	static int ii[N];
	int h, i, i_, a, t;
	long long b;

	for (i = 0; i < n; i++)
		ii[i] = i;
	ww = xx, sort(ii, 0, n);
	for (i = 0; i + 1 < n; i++) {
		tt_[i] = xx[ii[i + 1]] - xx[ii[i]];
		ii[i] = i;
	}
	ww = tt_, sort(ii, 0, n - 1);
	i = 0, a = n * 4, b = 0;
	for (h = 0; h < q; h++) {
		t = tt[h];
		if (t == 0) {
			ans[h] = n;
			continue;
		}
		while (i < n - 1 && tt_[i_ = ii[i]] < t) {
			a -= 4, b += tt_[i_] * 2;
			i++;
		}
		ans[h] = 0;
		while (i < n - 1 && tt_[i_ = ii[i]] == t) {
			ans[h] += t - 1;
			a -= 4, b += tt_[i_] * 2;
			i++;
		}
		ans[h] += (long long) a * t + b;
	}
}

int xx_[N], yy_[N];

void compress(int *xx, int *xx_, int n) {
	static int ii[N];
	int i, x;

	for (i = 0; i < n; i++)
		ii[i] = i;
	ww = xx, sort(ii, 0, n);
	for (i = 0, x = 0; i < n; i++)
		xx_[ii[i]] = i + 1 == n || xx[ii[i + 1]] != xx[ii[i]] ? x++ : x;
}

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 ft[N];

int min_(int i, int j) {
	return j == -1 || i != -1 && (vv[i] < vv[j] || vv[i] == vv[j] && i < j) ? i : j;
}

void update(int i, int n, int x) {
	while (i < n) {
		ft[i] = min_(ft[i], x);
		i |= i + 1;
	}
}

int query(int i) {
	int x = -1;

	while (i >= 0) {
		x = min_(x, ft[i]);
		i &= i + 1, i--;
	}
	return x;
}

int aa[Q + 1]; long long bb[Q + 1];

void add(int t, int a, long long b) {
	int lower = -1, upper = q;

	while (upper - lower > 1) {
		int h = (lower + upper) / 2;

		if (tt[h] >= t)
			upper = h;
		else
			lower = h;
	}
	aa[upper] += a, bb[upper] += b;
}

void solve6() {
	static int ii[N], qu[N], jjl[N * 4], jjr[N * 4];
	int cnt, h, i, i_, j, j_, jl, jr, r, o, t, t_, tmp;
	long long u, u_, ul, ur;

	for (i = 0; i < n; i++)
		uu[i] = xx[i] - yy[i], vv[i] = xx[i] + yy[i];
	memset(aa, 0, (q + 1) * sizeof *aa), memset(bb, 0, (q + 1) * sizeof *bb);
	for (i = 0; i < n; i++)
		ej[i] = (int *) malloc(2 * sizeof *ej[i]), eo[i] = 0;
	compress(xx, xx_, n), compress(yy, yy_, n);
	for (r = 0; r < 4; r++) {
		for (i = 0; i < n; i++)
			ii[i] = i;
		ww = uu, sort(ii, 0, n);
		memset(ft, -1, n * sizeof *ft);
		for (i = 0; i < n; i = j) {
			j = i + 1;
			while (j < n && uu[ii[j]] == uu[ii[i]])
				j++;
			for (h = i; h < j; h++) {
				i_ = ii[h], j_ = query(n - 1 - xx_[i_]);
				if (j_ != -1)
					append(i_, j_), append(j_, i_);
				update(n - 1 - xx_[i_], n, i_);
			}
			cnt = 0;
			for (h = i; h < j; h++) {
				i_ = ii[h];
				while (cnt && qu[cnt - 1] > i_)
					cnt--;
				if (cnt) {
					j_ = qu[cnt - 1];
					append(i_, j_), append(j_, i_);
				}
				qu[cnt++] = i_;
			}
		}
		memset(ft, -1, n * sizeof *ft);
		for (j = n; j > 0; j = i) {
			i = j - 1;
			while (i > 0 && uu[ii[i - 1]] == uu[ii[j - 1]])
				i--;
			for (h = i; h < j; h++) {
				i_ = ii[h], j_ = query(n - 1 - yy_[i_]);
				if (j_ != -1)
					append(i_, j_), append(j_, i_);
				update(n - 1 - yy_[i_], n, i_);
			}
		}
		for (i = 0; i < n; i++) {
			tmp = xx[i], xx[i] = -yy[i], yy[i] = tmp;
			tmp = xx_[i], xx_[i] = n - 1 - yy_[i], yy_[i] = tmp;
			tmp = uu[i], uu[i] = -vv[i], vv[i] = tmp;
		}
	}
	for (i = 0; i < n; i++) {
		for (o = 0; o < eo[i]; o++) {
			j = ej[i][o];
			tt_[j] = ((long long) abs_(xx[j] - xx[i]) + abs_(yy[j] - yy[i]) + (i < j ? 2 : 1)) / 2;
		}
		ww = tt_, sort(ej[i], 0, eo[i]);
	}
	cnt = 0;
	for (r = 0; r < 4; r++) {
		for (i = 0; i < n; i++) {
			u = uu[i], ul = -INF, jl = -1, ur = INF, jr = -1, t_ = -1;
			for (o = 0; o < eo[i]; o++) {
				j = ej[i][o], t = ((long long) abs_(xx[j] - xx[i]) + abs_(yy[j] - yy[i]) + (i < j ? 2 : 1)) / 2;
				if (vv[j] < vv[i] || vv[j] == vv[i] && j > i)
					continue;
				if (ul != -INF && ur != INF && ul + t > ur - t + 1 && t != t_)
					break;
				t_ = t;
				if (uu[j] < u) {
					u_ = uu[j] + (i < j ? 0 : 1);
					if (ul == -INF)
						ul = u_, jl = j;
					else {
						ul = max(ul, u_);
						if (uu[jl] < uu[j] || uu[jl] == uu[j] && jl > j)
							jl = j;
					}
				} else {
					u_ = uu[j] - (i < j ? 0 : 1);
					if (ur == INF)
						ur = u_, jr = j;
					else {
						ur = min(ur, u_);
						if (uu[jr] > uu[j] || uu[jr] == uu[j] && jr > j)
							jr = j;
					}
				}
			}
			if (jl != -1 && jr != -1)
				jjl[cnt] = jl, jjr[cnt] = jr, cnt++;
		}
		for (i = 0; i < n; i++) {
			tmp = xx[i], xx[i] = -yy[i], yy[i] = tmp;
			tmp = uu[i], uu[i] = -vv[i], vv[i] = tmp;
		}
	}
	for (h = 0; h < cnt; h++) {
		jl = jjl[h], jr = jjr[h];
		append(jl, jr), append(jr, jl);
	}
	for (i = 0; i < n; i++) {
		for (o = 0; o < eo[i]; o++) {
			j = ej[i][o];
			tt_[j] = ((long long) abs_(xx[j] - xx[i]) + abs_(yy[j] - yy[i]) + (i < j ? 2 : 1)) / 2;
		}
		ww = tt_, sort(ej[i], 0, eo[i]);
	}
	for (r = 0; r < 4; r++) {
		for (i = 0; i < n; i++) {
			add(0, 1, 0);
			u = uu[i], ul = -INF, ur = INF, t = INF;
			for (o = 0; o <= eo[i]; o++) {
				if (o == eo[i]) {
					t = ul != -INF && ur != INF ? (ur - ul) / 2 + 1 : INF;
					break;
				}
				j = ej[i][o], t = ((long long) abs_(xx[j] - xx[i]) + abs_(yy[j] - yy[i]) + (i < j ? 2 : 1)) / 2;
				if (vv[j] < vv[i] || vv[j] == vv[i] && j > i)
					continue;
				if (ul != -INF && ur != INF && ul + t > ur - t) {
					t = (ur - ul) / 2 + 1;
					break;
				}
				if (uu[j] < u) {
					u_ = uu[j] + (i < j ? 0 : 1);
					if (ul == -INF)
						add(t, -1, (u - u_) / 2), ul = u_;
					else if (ul < u_)
						add(t, 0, (u - u_) / 2 - (u - ul) / 2), ul = u_;
				} else {
					u_ = uu[j] - (i < j ? 0 : 1);
					if (ur == INF)
						add(t, -1, (u_ - u + 2) / 2), ur = u_;
					else if (ur > u_)
						add(t, 0, (u_ - u + 2) / 2 - (ur - u + 2) / 2), ur = u_;
				}
				if (ul != -INF && ur != INF && ul + t > ur - t)
					break;
			}
			if (t != INF)
				add(t, 1, -((u - ul) / 2 + (ur - u + 2) / 2));
		}
		for (i = 0; i < n; i++) {
			tmp = xx[i], xx[i] = -yy[i], yy[i] = tmp;
			tmp = uu[i], uu[i] = -vv[i], vv[i] = tmp;
		}
	}
	for (h = 1; h < q; h++)
		aa[h] += aa[h - 1], bb[h] += bb[h - 1];
	for (h = 0; h < q; h++)
		ans[h] = tt[h] == 0 ? n : (long long) aa[h] * tt[h] + bb[h];
}

void test() {
	static long long ans_[Q];
	int h;

	solve2(), memcpy(ans_, ans, q * sizeof *ans), solve6();
	for (h = 0; h < q; h++)
		if (ans[h] != ans_[h]) {
			printf("wrong answer on query %d: expected %lld, found %lld\n", h + 1, ans_[h], ans[h]);
			exit(0);
		}
}

void stress() {
	int t, h, i, j;

	for (t = 1; t <= T; t++) {
		printf("running on test %d...\n", t);
generate:
		n = 10, q = T + 1;
		for (i = 0; i < n; i++)
			xx[i] = rand_() % 21 - 10, yy[i] = rand_() % 21 - 10;
		for (i = 0; i < n; i++)
			for (j = i + 1; j < n; j++)
				if (xx[j] == xx[i] && yy[j] == yy[i])
					goto generate;
		for (h = 0; h < q; h++)
			tt[h] = h;
		test();
	}
	printf("AC\n");
}

int main() {
	int h, i, subtask;

	scanf("%d%d", &n, &q);
	for (i = 0; i < n; i++)
		scanf("%d%d", &xx[i], &yy[i]);
	for (h = 0; h < q; h++)
		scanf("%d", &tt[h]);
#if 0
	stress();
	return 0;
#endif
	if (n <= N_)
		subtask = 6;
	else {
		subtask = 4;
		for (i = 0; i < n; i++)
			if (xx[i] != yy[i]) {
				subtask = 2;
				break;
			}
	}
	if (subtask == 2)
		solve2();
	else if (subtask == 4)
		solve4();
	else if (subtask == 6)
		solve6();
	for (h = 0; h < q; h++)
		printf("%lld\n", ans[h]);
	return 0;
}

Compilation message (stderr)

cell.c: In function 'append':
cell.c:131:23: warning: suggest parentheses around '-' in operand of '&' [-Wparentheses]
  131 |  if (o >= 2 && (o & o - 1) == 0)
      |                     ~~^~~
cell.c: In function 'min_':
cell.c:139:64: warning: suggest parentheses around '&&' within '||' [-Wparentheses]
  139 |  return j == -1 || i != -1 && (vv[i] < vv[j] || vv[i] == vv[j] && i < j) ? i : j;
      |                                                 ~~~~~~~~~~~~~~~^~~~~~~~
cell.c:139:28: warning: suggest parentheses around '&&' within '||' [-Wparentheses]
  139 |  return j == -1 || i != -1 && (vv[i] < vv[j] || vv[i] == vv[j] && i < j) ? i : j;
      |                    ~~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
cell.c: In function 'solve6':
cell.c:244:41: warning: suggest parentheses around '&&' within '||' [-Wparentheses]
  244 |     if (vv[j] < vv[i] || vv[j] == vv[i] && j > i)
      |                          ~~~~~~~~~~~~~~~^~~~~~~~
cell.c:255:45: warning: suggest parentheses around '&&' within '||' [-Wparentheses]
  255 |       if (uu[jl] < uu[j] || uu[jl] == uu[j] && jl > j)
      |                             ~~~~~~~~~~~~~~~~^~~~~~~~~
cell.c:264:45: warning: suggest parentheses around '&&' within '||' [-Wparentheses]
  264 |       if (uu[jr] > uu[j] || uu[jr] == uu[j] && jr > j)
      |                             ~~~~~~~~~~~~~~~~^~~~~~~~~
cell.c:298:41: warning: suggest parentheses around '&&' within '||' [-Wparentheses]
  298 |     if (vv[j] < vv[i] || vv[j] == vv[i] && j > i)
      |                          ~~~~~~~~~~~~~~~^~~~~~~~
cell.c: In function 'main':
cell.c:369:2: warning: ignoring return value of 'scanf' declared with attribute 'warn_unused_result' [-Wunused-result]
  369 |  scanf("%d%d", &n, &q);
      |  ^~~~~~~~~~~~~~~~~~~~~
cell.c:371:3: warning: ignoring return value of 'scanf' declared with attribute 'warn_unused_result' [-Wunused-result]
  371 |   scanf("%d%d", &xx[i], &yy[i]);
      |   ^~~~~~~~~~~~~~~~~~~~~~~~~~~~~
cell.c:373:3: warning: ignoring return value of 'scanf' declared with attribute 'warn_unused_result' [-Wunused-result]
  373 |   scanf("%d", &tt[h]);
      |   ^~~~~~~~~~~~~~~~~~~

• Subtask 1: 0 / 4
• Subtask 2: 0 / 12
• Subtask 3: 8 / 8
• Subtask 4: 8 / 8
• Subtask 5: 17 / 17
• Subtask 6: 25 / 25
• Subtask 7: 0 / 26