Submission #545863

# Submission time Handle Problem Language Result Execution time Memory
545863 2022-04-05T15:32:06 Z rainboy Space Pirate (JOI14_space_pirate) C
80 / 100
2000 ms 131356 KB
#include <stdio.h>
#include <stdlib.h>
#include <string.h>

#define N	100000
#define L	60	/* L = ceil(log2(10^18)) */

int *ej[N], eo[N], *ed[N * 6 + 1], eo_[N * 6 + 1], pp[N], pp_[L + 1][N], ii[N + 1], tt[N], tt_[N], n;
long long cc[N], bb[N], cc_[L + 1][N], k, time;

void init(int n, long long l, long long r) {
	int d;
	long long a;

	for (d = 1; d <= n; d++) {
		a = l / d * d;
		while (a < l)
			a += d;
		while (a >= l + d)
			a -= d;
		while (a <= r)
			eo_[a - l]++, a += d;
	}
	for (a = l; a <= r; a++)
		ed[a - l] = (int *) malloc(eo_[a - l] * sizeof *ed[a - l]), eo_[a - l] = 0;
	for (d = 1; d <= n; d++) {
		a = l / d * d;
		while (a < l)
			a += d;
		while (a >= l + d)
			a -= d;
		while (a <= r)
			ed[a - l][eo_[a - l]++] = d, a += d;
	}
}

void upd(int i, int b) {
	cc[i] -= b * time, bb[i] += b;
}

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;
}

void dfs1(int i, int t) {
	int o;

	if (tt_[i] != -1)
		return;
	tt_[i] = t;
	for (o = eo[i]; o--; ) {
		int j = ej[i][o];

		dfs1(j, t);
	}
}

void update(int i, long long k, int x) {
	int l;

	for (l = L; l >= 0; l--)
		if (k >= 1LL << l)
			cc_[l][i] += x, k -= 1LL << l, i = pp_[l][i];
}

int qu[N * 2 + 1], h1, t1, t2;

void dfs2(int p, int i, int cnt, int h_, int h0) {
	int o;

	time++;
	for (o = eo[i]; o--; ) {
		int j = ej[i][o];

		if (j != p) {
			int h0_ = tt[j] != -1 ? cnt : h0, d;

			qu[cnt] = j;
			for (d = cnt - h0; d <= cnt - h_; d++) {
				upd(qu[cnt - 1 - (k + cnt - (cnt - d <= h1 ? t1 : t2) - 1) % d], -1);
				upd(qu[cnt - (k + cnt - (cnt - d + 1 <= h1 ? t1 : t2)) % d], 1);
			}
			d = cnt - h_ + 1;
			upd(qu[cnt - (k + cnt - (cnt - d + 1 <= h1 ? t1 : t2)) % d], 1);
			if (tt[j] == -1) {
				d = cnt - h0;
				upd(qu[cnt - (k + cnt - (cnt - d + 1 <= h1 ? t1 : t2)) % d], -1);
			}
			dfs2(i, j, cnt + 1, h_, h0_);
			d = cnt - h_ + 1;
			upd(qu[cnt - (k + cnt - (cnt - d + 1 <= h1 ? t1 : t2)) % d], -1);
			if (tt[j] == -1) {
				d = cnt - h0;
				upd(qu[cnt - (k + cnt - (cnt - d + 1 <= h1 ? t1 : t2)) % d], 1);
			}
			for (d = cnt - h0; d <= cnt - h_; d++) {
				upd(qu[cnt - (k + cnt - (cnt - d + 1 <= h1 ? t1 : t2)) % d], -1);
				upd(qu[cnt - 1 - (k + cnt - (cnt - d <= h1 ? t1 : t2) - 1) % d], 1);
			}
		}
	}
}

int main() {
	int g, h, h_, i, i_, j, t, l, cnt, d, o;
	long long k_, a;

	o = a = 0;
	scanf("%d%lld", &n, &k), init(n, k - n * 3, k + n * 3);
	for (i = 0; i < n; i++)
		ej[i] = (int *) malloc(2 * sizeof *ej[i]);
	for (i = 0; i < n; i++) {
		scanf("%d", &pp[i]), pp[i]--;
		append(pp[i], i);
	}
	for (i = 0; i < n; i++)
		pp_[0][i] = pp[i];
	for (l = 1; l <= L; l++)
		for (i = 0; i < n; i++)
			pp_[l][i] = pp_[l - 1][pp_[l - 1][i]];
	memset(tt, -1, n * sizeof *tt), memset(tt_, -1, n * sizeof *tt_);
	for (i = 0, t = 0; tt[i] == -1; i = pp[i], t++)
		ii[tt[i] = t] = i, dfs1(i, t);
	ii[t] = i_ = i;
	for (i = 0; i < n; i++)
		if (tt_[i] == -1)
			tt_[i] = t;
	j = i_, k_ = (k - t) % (t - tt[i_]);
	while (k_--)
		j = pp[j];
	for (i = 0; i < n; i++)
		if (tt[i] == -1)
			cc[j] += n;
	for (i = 0; i < n; i++)
		update(i, k, 1), update(i, k - tt_[i], -1);
	for (l = L; l > 0; l--)
		for (i = 0; i < n; i++)
			cc_[l - 1][i] += cc_[l][i], cc_[l - 1][pp_[l - 1][i]] += cc_[l][i];
	for (i = 0; i < n; i++)
		cc[i] += cc_[0][i];
	cnt = 0;
	for (h = t - 1; h > tt[i_]; h--)
		qu[cnt++] = ii[h];
	qu[cnt] = i_;
	h1 = t - tt[i_] - 1, t1 = tt[qu[h1]] + h1, t2 = tt[qu[cnt]] + cnt, h_ = cnt - (t - tt[i_]) + 1;
	for (h = t; h > tt[i_]; h--) {
		qu[cnt] = ii[h];
		if (h == t)
			for (g = cnt; g >= 0; g--)
				upd(qu[cnt - (k + cnt - (g <= h1 ? t1 : t2)) % (cnt - g + 1)], 1);
		else if (h == t - 1) {
			for (d = 1; d <= cnt - h_; d++)
				upd(qu[cnt - 1 - (k + cnt - (cnt - d <= h1 ? t1 : t2) - 1) % d], -1);
			t2 = tt[qu[cnt]] + cnt, h_++;
			for (d = 1, g = cnt; d <= cnt - h_ + 1; d++, g--)
				upd(qu[cnt - (k + cnt - (cnt - d + 1 <= h1 ? t1 : t2)) % d], 1);
		} else {
			h_++;
			d = cnt - h1;
			upd(qu[cnt - 1 - (k + cnt - t1 - 1) % d], -1), upd(qu[cnt - (k + cnt - t2) % d], 1);
			a = (k + cnt - t1) - (k - n * 3);
			for (o = eo_[a]; o--; ) {
				d = ed[a][o];
				if (d <= cnt - h_ + 1 && d > cnt - h1)
					upd(qu[cnt - d], -1), upd(qu[cnt], 1);
			}
			a = (k + cnt - t2) - (k - n * 3);
			for (o = eo_[a]; o--; ) {
				d = ed[a][o];
				if (d <= cnt - h_ + 1 && d < cnt - h1)
					upd(qu[cnt - d], -1), upd(qu[cnt], 1);
			}
		}
		dfs2(ii[h - 1], ii[h], cnt + 1, cnt - (t - tt[i_]) + 1, cnt);
		cnt++;
	}
	for (i = 0; i < n; i++)
		upd(i, -bb[i]);
	for (i = 0; i < n; i++)
		printf("%lld\n", cc[i]);
	return 0;
}

Compilation message

space_pirate.c: In function 'append':
space_pirate.c:44:23: warning: suggest parentheses around '-' in operand of '&' [-Wparentheses]
   44 |  if (o >= 2 && (o & o - 1) == 0)
      |                     ~~^~~
space_pirate.c: In function 'main':
space_pirate.c:113:2: warning: ignoring return value of 'scanf' declared with attribute 'warn_unused_result' [-Wunused-result]
  113 |  scanf("%d%lld", &n, &k), init(n, k - n * 3, k + n * 3);
      |  ^~~~~~~~~~~~~~~~~~~~~~~
space_pirate.c:117:3: warning: ignoring return value of 'scanf' declared with attribute 'warn_unused_result' [-Wunused-result]
  117 |   scanf("%d", &pp[i]), pp[i]--;
      |   ^~~~~~~~~~~~~~~~~~~
# Verdict Execution time Memory Grader output
1 Correct 1 ms 980 KB Output is correct
2 Correct 1 ms 980 KB Output is correct
3 Correct 1 ms 980 KB Output is correct
4 Correct 1 ms 980 KB Output is correct
5 Correct 1 ms 980 KB Output is correct
6 Correct 1 ms 980 KB Output is correct
7 Correct 1 ms 980 KB Output is correct
8 Correct 1 ms 980 KB Output is correct
9 Correct 1 ms 980 KB Output is correct
10 Correct 1 ms 1064 KB Output is correct
11 Correct 1 ms 980 KB Output is correct
12 Correct 1 ms 980 KB Output is correct
13 Correct 1 ms 980 KB Output is correct
14 Correct 1 ms 1024 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 980 KB Output is correct
2 Correct 1 ms 980 KB Output is correct
3 Correct 1 ms 980 KB Output is correct
4 Correct 1 ms 980 KB Output is correct
5 Correct 1 ms 980 KB Output is correct
6 Correct 1 ms 980 KB Output is correct
7 Correct 1 ms 980 KB Output is correct
8 Correct 1 ms 980 KB Output is correct
9 Correct 1 ms 980 KB Output is correct
10 Correct 1 ms 1064 KB Output is correct
11 Correct 1 ms 980 KB Output is correct
12 Correct 1 ms 980 KB Output is correct
13 Correct 1 ms 980 KB Output is correct
14 Correct 1 ms 1024 KB Output is correct
15 Correct 14 ms 4424 KB Output is correct
16 Correct 7 ms 4440 KB Output is correct
17 Correct 22 ms 4308 KB Output is correct
18 Correct 52 ms 4588 KB Output is correct
19 Correct 13 ms 4436 KB Output is correct
20 Correct 144 ms 4632 KB Output is correct
21 Correct 294 ms 4756 KB Output is correct
22 Correct 99 ms 4636 KB Output is correct
23 Correct 305 ms 4872 KB Output is correct
24 Correct 75 ms 4624 KB Output is correct
25 Correct 6 ms 4436 KB Output is correct
26 Correct 49 ms 4604 KB Output is correct
27 Correct 99 ms 4556 KB Output is correct
28 Correct 121 ms 4476 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 600 ms 123708 KB Output is correct
2 Correct 506 ms 131356 KB Output is correct
3 Correct 589 ms 127392 KB Output is correct
4 Correct 517 ms 123792 KB Output is correct
5 Correct 562 ms 131184 KB Output is correct
6 Correct 580 ms 127312 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 980 KB Output is correct
2 Correct 1 ms 980 KB Output is correct
3 Correct 1 ms 980 KB Output is correct
4 Correct 1 ms 980 KB Output is correct
5 Correct 1 ms 980 KB Output is correct
6 Correct 1 ms 980 KB Output is correct
7 Correct 1 ms 980 KB Output is correct
8 Correct 1 ms 980 KB Output is correct
9 Correct 1 ms 980 KB Output is correct
10 Correct 1 ms 1064 KB Output is correct
11 Correct 1 ms 980 KB Output is correct
12 Correct 1 ms 980 KB Output is correct
13 Correct 1 ms 980 KB Output is correct
14 Correct 1 ms 1024 KB Output is correct
15 Correct 14 ms 4424 KB Output is correct
16 Correct 7 ms 4440 KB Output is correct
17 Correct 22 ms 4308 KB Output is correct
18 Correct 52 ms 4588 KB Output is correct
19 Correct 13 ms 4436 KB Output is correct
20 Correct 144 ms 4632 KB Output is correct
21 Correct 294 ms 4756 KB Output is correct
22 Correct 99 ms 4636 KB Output is correct
23 Correct 305 ms 4872 KB Output is correct
24 Correct 75 ms 4624 KB Output is correct
25 Correct 6 ms 4436 KB Output is correct
26 Correct 49 ms 4604 KB Output is correct
27 Correct 99 ms 4556 KB Output is correct
28 Correct 121 ms 4476 KB Output is correct
29 Correct 600 ms 123708 KB Output is correct
30 Correct 506 ms 131356 KB Output is correct
31 Correct 589 ms 127392 KB Output is correct
32 Correct 517 ms 123792 KB Output is correct
33 Correct 562 ms 131184 KB Output is correct
34 Correct 580 ms 127312 KB Output is correct
35 Correct 1271 ms 123520 KB Output is correct
36 Correct 977 ms 123480 KB Output is correct
37 Correct 353 ms 123972 KB Output is correct
38 Execution timed out 2072 ms 129376 KB Time limit exceeded
39 Halted 0 ms 0 KB -