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Submission #545868

# Submission time Handle Problem Language Result Execution time Memory
545868 2022-04-05T15:37:28 Z rainboy Space Pirate (JOI14_space_pirate) C
100 / 100
 1459 ms 140584 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, o_;

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

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

			qu[cnt] = j;
			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 - h0 && d <= cnt - h_ && 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 - h0 && d <= cnt - h_ && d < cnt - h1)
					upd(qu[cnt - d], -1), upd(qu[cnt], 1);
			}
			if (tt[j] == -1) {
				d = cnt - h0;
				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);
			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);
			}
			d = cnt - h1;
			upd(qu[cnt - (k + cnt - t2) % d], -1), upd(qu[cnt - 1 - (k + cnt - t1 - 1) % d], 1);
			a = (k + cnt - t1) - (k - n * 3);
			for (o_ = eo_[a]; o_--; ) {
				d = ed[a][o_];
				if (d >= cnt - h0 && d <= cnt - h_ && d > cnt - h1)
					upd(qu[cnt], -1), upd(qu[cnt - d], 1);
			}
			a = (k + cnt - t2) - (k - n * 3);
			for (o_ = eo_[a]; o_--; ) {
				d = ed[a][o_];
				if (d >= cnt - h0 && d <= cnt - h_ && d < cnt - h1)
					upd(qu[cnt], -1), upd(qu[cnt - 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:133:2: warning: ignoring return value of 'scanf' declared with attribute 'warn_unused_result' [-Wunused-result]
  133 |  scanf("%d%lld", &n, &k), init(n, k - n * 3, k + n * 3);
      |  ^~~~~~~~~~~~~~~~~~~~~~~
space_pirate.c:137:3: warning: ignoring return value of 'scanf' declared with attribute 'warn_unused_result' [-Wunused-result]
  137 |   scanf("%d", &pp[i]), pp[i]--;
      |   ^~~~~~~~~~~~~~~~~~~

Subtask #1
10.0 / 10.0

# 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 1088 KB Output is correct
9 Correct 1 ms 980 KB Output is correct
10 Correct 1 ms 980 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 980 KB Output is correct

Subtask #2
37.0 / 37.0

# 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 1088 KB Output is correct
9 Correct 1 ms 980 KB Output is correct
10 Correct 1 ms 980 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 980 KB Output is correct
15 Correct 6 ms 4436 KB Output is correct
16 Correct 7 ms 4440 KB Output is correct
17 Correct 7 ms 4308 KB Output is correct
18 Correct 9 ms 4556 KB Output is correct
19 Correct 8 ms 4436 KB Output is correct
20 Correct 9 ms 4580 KB Output is correct
21 Correct 8 ms 4820 KB Output is correct
22 Correct 7 ms 4700 KB Output is correct
23 Correct 6 ms 4936 KB Output is correct
24 Correct 7 ms 4692 KB Output is correct
25 Correct 6 ms 4436 KB Output is correct
26 Correct 7 ms 4640 KB Output is correct
27 Correct 12 ms 4564 KB Output is correct
28 Correct 10 ms 4436 KB Output is correct

Subtask #3
33.0 / 33.0

# Verdict Execution time Memory Grader output
1 Correct 689 ms 123668 KB Output is correct
2 Correct 566 ms 131148 KB Output is correct
3 Correct 687 ms 127324 KB Output is correct
4 Correct 614 ms 123756 KB Output is correct
5 Correct 634 ms 131192 KB Output is correct
6 Correct 635 ms 127144 KB Output is correct

Subtask #4
20.0 / 20.0

# 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 1088 KB Output is correct
9 Correct 1 ms 980 KB Output is correct
10 Correct 1 ms 980 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 980 KB Output is correct
15 Correct 6 ms 4436 KB Output is correct
16 Correct 7 ms 4440 KB Output is correct
17 Correct 7 ms 4308 KB Output is correct
18 Correct 9 ms 4556 KB Output is correct
19 Correct 8 ms 4436 KB Output is correct
20 Correct 9 ms 4580 KB Output is correct
21 Correct 8 ms 4820 KB Output is correct
22 Correct 7 ms 4700 KB Output is correct
23 Correct 6 ms 4936 KB Output is correct
24 Correct 7 ms 4692 KB Output is correct
25 Correct 6 ms 4436 KB Output is correct
26 Correct 7 ms 4640 KB Output is correct
27 Correct 12 ms 4564 KB Output is correct
28 Correct 10 ms 4436 KB Output is correct
29 Correct 689 ms 123668 KB Output is correct
30 Correct 566 ms 131148 KB Output is correct
31 Correct 687 ms 127324 KB Output is correct
32 Correct 614 ms 123756 KB Output is correct
33 Correct 634 ms 131192 KB Output is correct
34 Correct 635 ms 127144 KB Output is correct
35 Correct 461 ms 123536 KB Output is correct
36 Correct 391 ms 123492 KB Output is correct
37 Correct 347 ms 123956 KB Output is correct
38 Correct 728 ms 130184 KB Output is correct
39 Correct 673 ms 127840 KB Output is correct
40 Correct 731 ms 133592 KB Output is correct
41 Correct 701 ms 131268 KB Output is correct
42 Correct 749 ms 132908 KB Output is correct
43 Correct 352 ms 140584 KB Output is correct
44 Correct 356 ms 133152 KB Output is correct
45 Correct 362 ms 124016 KB Output is correct
46 Correct 604 ms 131088 KB Output is correct
47 Correct 1459 ms 129980 KB Output is correct
48 Correct 957 ms 126932 KB Output is correct