oj.uz

Submission #670851

# Submission time Handle Problem Language Result Execution time Memory
670851 2022-12-10T20:42:52 Z rainboy Capital City (JOI20_capital_city) C
100 / 100
 2335 ms 450132 KB 
#include <stdio.h>
#include <stdlib.h>
#include <string.h>

#define N	200000
#define L	18	/* L = ceil(log2(N)) */
#define N_	(N + N * (L + 1))

int min(int a, int b) { return a < b ? a : b; }

int *ej[N], eo[N], *ej_[N_], eo_[N_], *fi_[N_], fo_[N_], n, k;
int aa[N];

void append(int **ej, int *eo, 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 add_edge(int i, int j) {
	append(ej_, eo_, i, j), append(fi_, fo_, j, i);
}

int dd[N], pp[N][L + 1], qu[N_], cnt;

void dfs0(int p, int i, int d) {
	int o, l, q;

	qu[cnt++] = i;
	dd[i] = d, pp[i][0] = q = p;
	add_edge(k + i * (L + 1) + 0, aa[i]);
	for (l = 1; l <= L; l++)
		if (q == -1) {
			pp[i][l] = -1;
			add_edge(k + i * (L + 1) + l, k + i * (L + 1) + l - 1);
		} else {
			pp[i][l] = pp[q][l - 1];
			add_edge(k + i * (L + 1) + l, k + i * (L + 1) + l - 1);
			add_edge(k + i * (L + 1) + l, k + q * (L + 1) + l - 1);
			q = pp[i][l];
		}
	for (o = eo[i]; o--; ) {
		int j = ej[i][o];

		if (j != p)
			dfs0(i, j, d + 1);
	}
}

int cc[N_]; char out[N_];

void dfs1(int i) {
	int o;

	if (cc[i])
		return;
	cc[i] = -1;
	for (o = eo_[i]; o--; ) {
		int j = ej_[i][o];

		dfs1(j);
	}
	qu[--cnt] = i;
}

void dfs2(int j, int c) {
	int o;

	if (cc[j] != -1) {
		if (cc[j] != c)
			out[cc[j]] = 1;
		return;
	}
	cc[j] = c;
	for (o = fo_[j]; o--; ) {
		int i = fi_[j][o];

		dfs2(i, c);
	}
}

void add_path(int i, int j, int u) {
	int l, tmp;

	if (dd[i] < dd[j])
		tmp = i, i = j, j = tmp;
	for (l = L; l >= 0; l--)
		if (dd[i] - dd[j] >= 1 << l)
			add_edge(u, k + i * (L + 1) + l), i = pp[i][l];
	if (i == j)
		add_edge(u, k + i * (L + 1) + 0);
	else {
		for (l = L; l >= 0; l--)
			if (dd[i] >= 1 << l && pp[i][l] != pp[j][l]) {
				add_edge(u, k + i * (L + 1) + l), i = pp[i][l];
				add_edge(u, k + j * (L + 1) + l), j = pp[j][l];
			}
		add_edge(u, k + i * (L + 1) + 1);
		add_edge(u, k + j * (L + 1) + 1);
	}
}

int main() {
	static int kk[N_], prev[N];
	int n_, h, i, j, a, c, ans;

	scanf("%d%d", &n, &k);
	n_ = k + n * (L + 1);
	for (i = 0; i < n; i++)
		ej[i] = (int *) malloc(2 * sizeof *ej[i]);
	for (i = 0; i < n_; i++) {
		ej_[i] = (int *) malloc(2 * sizeof *ej_[i]);
		fi_[i] = (int *) malloc(2 * sizeof *fi_[i]);
	}
	for (h = 0; h < n - 1; h++) {
		scanf("%d%d", &i, &j), i--, j--;
		append(ej, eo, i, j), append(ej, eo, j, i);
	}
	for (i = 0; i < n; i++)
		scanf("%d", &aa[i]), aa[i]--;
	dfs0(-1, 0, 0);
	memset(prev, -1, k * sizeof *prev);
	for (h = 0; h < cnt; h++) {
		j = qu[h], a = aa[j];
		prev[a] = j;
	}
	for (h = 0; h < cnt; h++) {
		j = qu[h], a = aa[j], i = prev[a];
		add_path(i, j, a);
		prev[a] = j;
	}
	cnt = n_;
	for (i = 0; i < n_; i++)
		dfs1(i);
	for (h = 0, c = 0; h < n_; h++) {
		i = qu[h];
		if (cc[i] == -1)
			dfs2(i, c++);
	}
	for (a = 0; a < k; a++)
		kk[cc[a]]++;
	ans = k + 1;
	for (a = 0; a < k; a++)
		if (!out[cc[a]])
		ans = min(ans, kk[cc[a]] - 1);
	printf("%d\n", ans);
	return 0;
}

Compilation message

capital_city.c: In function 'append':
capital_city.c:17:23: warning: suggest parentheses around '-' in operand of '&' [-Wparentheses]
   17 |  if (o >= 2 && (o & o - 1) == 0)
      |                     ~~^~~
capital_city.c: In function 'main':
capital_city.c:109:2: warning: ignoring return value of 'scanf' declared with attribute 'warn_unused_result' [-Wunused-result]
  109 |  scanf("%d%d", &n, &k);
      |  ^~~~~~~~~~~~~~~~~~~~~
capital_city.c:118:3: warning: ignoring return value of 'scanf' declared with attribute 'warn_unused_result' [-Wunused-result]
  118 |   scanf("%d%d", &i, &j), i--, j--;
      |   ^~~~~~~~~~~~~~~~~~~~~
capital_city.c:122:3: warning: ignoring return value of 'scanf' declared with attribute 'warn_unused_result' [-Wunused-result]
  122 |   scanf("%d", &aa[i]), aa[i]--;
      |   ^~~~~~~~~~~~~~~~~~~

Subtask #1
1.0 / 1.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 340 KB Output is correct
2 Correct 0 ms 340 KB Output is correct
3 Correct 1 ms 340 KB Output is correct
4 Correct 1 ms 340 KB Output is correct
5 Correct 1 ms 340 KB Output is correct
6 Correct 0 ms 340 KB Output is correct
7 Correct 1 ms 340 KB Output is correct
8 Correct 1 ms 340 KB Output is correct
9 Correct 1 ms 340 KB Output is correct
10 Correct 1 ms 340 KB Output is correct

Subtask #2
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 340 KB Output is correct
2 Correct 0 ms 340 KB Output is correct
3 Correct 1 ms 340 KB Output is correct
4 Correct 1 ms 340 KB Output is correct
5 Correct 1 ms 340 KB Output is correct
6 Correct 0 ms 340 KB Output is correct
7 Correct 1 ms 340 KB Output is correct
8 Correct 1 ms 340 KB Output is correct
9 Correct 1 ms 340 KB Output is correct
10 Correct 1 ms 340 KB Output is correct
11 Correct 7 ms 4436 KB Output is correct
12 Correct 6 ms 4404 KB Output is correct
13 Correct 6 ms 4468 KB Output is correct
14 Correct 6 ms 4408 KB Output is correct
15 Correct 8 ms 4456 KB Output is correct
16 Correct 7 ms 4564 KB Output is correct
17 Correct 6 ms 4460 KB Output is correct
18 Correct 6 ms 4436 KB Output is correct
19 Correct 6 ms 4564 KB Output is correct
20 Correct 7 ms 4564 KB Output is correct
21 Correct 7 ms 4564 KB Output is correct
22 Correct 7 ms 4668 KB Output is correct
23 Correct 8 ms 4820 KB Output is correct
24 Correct 6 ms 4436 KB Output is correct
25 Correct 7 ms 4436 KB Output is correct
26 Correct 7 ms 4540 KB Output is correct
27 Correct 7 ms 4400 KB Output is correct
28 Correct 7 ms 4436 KB Output is correct
29 Correct 7 ms 4436 KB Output is correct
30 Correct 7 ms 4436 KB Output is correct

Subtask #3
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 2257 ms 443844 KB Output is correct
2 Correct 1437 ms 443476 KB Output is correct
3 Correct 2335 ms 447076 KB Output is correct
4 Correct 1472 ms 443480 KB Output is correct
5 Correct 2243 ms 448052 KB Output is correct
6 Correct 1444 ms 442996 KB Output is correct
7 Correct 2160 ms 439520 KB Output is correct
8 Correct 1285 ms 438144 KB Output is correct
9 Correct 1994 ms 412780 KB Output is correct
10 Correct 1974 ms 409040 KB Output is correct
11 Correct 2009 ms 413444 KB Output is correct
12 Correct 2037 ms 416572 KB Output is correct
13 Correct 1967 ms 409012 KB Output is correct
14 Correct 2007 ms 417716 KB Output is correct
15 Correct 2085 ms 417292 KB Output is correct
16 Correct 1973 ms 409732 KB Output is correct
17 Correct 1994 ms 411168 KB Output is correct
18 Correct 1970 ms 410720 KB Output is correct
19 Correct 2029 ms 415888 KB Output is correct
20 Correct 2114 ms 418548 KB Output is correct
21 Correct 1 ms 340 KB Output is correct

Subtask #4
59.0 / 59.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 340 KB Output is correct
2 Correct 0 ms 340 KB Output is correct
3 Correct 1 ms 340 KB Output is correct
4 Correct 1 ms 340 KB Output is correct
5 Correct 1 ms 340 KB Output is correct
6 Correct 0 ms 340 KB Output is correct
7 Correct 1 ms 340 KB Output is correct
8 Correct 1 ms 340 KB Output is correct
9 Correct 1 ms 340 KB Output is correct
10 Correct 1 ms 340 KB Output is correct
11 Correct 7 ms 4436 KB Output is correct
12 Correct 6 ms 4404 KB Output is correct
13 Correct 6 ms 4468 KB Output is correct
14 Correct 6 ms 4408 KB Output is correct
15 Correct 8 ms 4456 KB Output is correct
16 Correct 7 ms 4564 KB Output is correct
17 Correct 6 ms 4460 KB Output is correct
18 Correct 6 ms 4436 KB Output is correct
19 Correct 6 ms 4564 KB Output is correct
20 Correct 7 ms 4564 KB Output is correct
21 Correct 7 ms 4564 KB Output is correct
22 Correct 7 ms 4668 KB Output is correct
23 Correct 8 ms 4820 KB Output is correct
24 Correct 6 ms 4436 KB Output is correct
25 Correct 7 ms 4436 KB Output is correct
26 Correct 7 ms 4540 KB Output is correct
27 Correct 7 ms 4400 KB Output is correct
28 Correct 7 ms 4436 KB Output is correct
29 Correct 7 ms 4436 KB Output is correct
30 Correct 7 ms 4436 KB Output is correct
31 Correct 2257 ms 443844 KB Output is correct
32 Correct 1437 ms 443476 KB Output is correct
33 Correct 2335 ms 447076 KB Output is correct
34 Correct 1472 ms 443480 KB Output is correct
35 Correct 2243 ms 448052 KB Output is correct
36 Correct 1444 ms 442996 KB Output is correct
37 Correct 2160 ms 439520 KB Output is correct
38 Correct 1285 ms 438144 KB Output is correct
39 Correct 1994 ms 412780 KB Output is correct
40 Correct 1974 ms 409040 KB Output is correct
41 Correct 2009 ms 413444 KB Output is correct
42 Correct 2037 ms 416572 KB Output is correct
43 Correct 1967 ms 409012 KB Output is correct
44 Correct 2007 ms 417716 KB Output is correct
45 Correct 2085 ms 417292 KB Output is correct
46 Correct 1973 ms 409732 KB Output is correct
47 Correct 1994 ms 411168 KB Output is correct
48 Correct 1970 ms 410720 KB Output is correct
49 Correct 2029 ms 415888 KB Output is correct
50 Correct 2114 ms 418548 KB Output is correct
51 Correct 1 ms 340 KB Output is correct
52 Correct 1158 ms 415288 KB Output is correct
53 Correct 1180 ms 415292 KB Output is correct
54 Correct 1187 ms 415404 KB Output is correct
55 Correct 1092 ms 415576 KB Output is correct
56 Correct 1089 ms 415380 KB Output is correct
57 Correct 1076 ms 415316 KB Output is correct
58 Correct 1881 ms 419844 KB Output is correct
59 Correct 1920 ms 420896 KB Output is correct
60 Correct 1876 ms 448840 KB Output is correct
61 Correct 1913 ms 450132 KB Output is correct
62 Correct 1421 ms 443536 KB Output is correct
63 Correct 1432 ms 443508 KB Output is correct
64 Correct 1357 ms 439468 KB Output is correct
65 Correct 1427 ms 443004 KB Output is correct
66 Correct 1412 ms 414684 KB Output is correct
67 Correct 1552 ms 422592 KB Output is correct
68 Correct 1443 ms 414736 KB Output is correct
69 Correct 1534 ms 417652 KB Output is correct
70 Correct 1560 ms 417580 KB Output is correct
71 Correct 1431 ms 414768 KB Output is correct
72 Correct 1460 ms 414648 KB Output is correct
73 Correct 1591 ms 423176 KB Output is correct
74 Correct 1441 ms 414876 KB Output is correct
75 Correct 1549 ms 417668 KB Output is correct
76 Correct 1612 ms 414704 KB Output is correct
77 Correct 1557 ms 410440 KB Output is correct
78 Correct 1996 ms 411160 KB Output is correct
79 Correct 2005 ms 408248 KB Output is correct
80 Correct 2064 ms 417896 KB Output is correct
81 Correct 2029 ms 413356 KB Output is correct
82 Correct 2047 ms 413096 KB Output is correct
83 Correct 2020 ms 408092 KB Output is correct
84 Correct 2072 ms 416640 KB Output is correct
85 Correct 2043 ms 414012 KB Output is correct
86 Correct 2062 ms 408268 KB Output is correct
87 Correct 2017 ms 410648 KB Output is correct
88 Correct 2008 ms 423060 KB Output is correct
89 Correct 1913 ms 416396 KB Output is correct
90 Correct 1911 ms 416080 KB Output is correct
91 Correct 1937 ms 420528 KB Output is correct
92 Correct 1949 ms 418960 KB Output is correct
93 Correct 1918 ms 417000 KB Output is correct
94 Correct 1911 ms 415748 KB Output is correct
95 Correct 1950 ms 418620 KB Output is correct
96 Correct 1939 ms 416876 KB Output is correct
97 Correct 1937 ms 420632 KB Output is correct