oj.uz

Submission #830052

# Submission time Handle Problem Language Result Execution time Memory
830052 2023-08-18T18:02:04 Z MadokaMagicaFan Split the Attractions (IOI19_split) C++14
100 / 100
 87 ms 22008 KB 
#include "bits/stdc++.h"
#include "split.h"
using namespace std;
#define sz(v) ((int)(v).size())
#define pb push_back

const int N = 1e5;

int n, a, b, c;
int oa, ob, oc;

vector<array<int,2>> adj[N+5];
array<int, 2> bigg[N+5];
int p[N+5];
bitset<N+5> v;
bitset<2*N+5> og;
vector<int> va, vb, splist;

int dfs1(int x) {
	bigg[x] = {0,0};
	v[x] = 1;
	int l = 1;
	for (auto u : adj[x]) {
		if (v[u[0]]) continue;
		og[u[1]] = 1;
		p[u[0]] = x;
		int s = dfs1(u[0]);
		l += s;
		if (s > bigg[x][0])
			bigg[x] = {s, u[0]};
	}

	if (p[x] != x && n - l > bigg[x][0])
		bigg[x] = {n-l, p[x]};
	return l;
}

void dfs2(int x, vector<int> &vv) {
	v[x] = 1;
	vv.pb(x);
	for (auto u : adj[x]) {
		if (!og[u[1]]) continue;
		if (v[u[0]]) continue;
		dfs2(u[0], vv);
	}
}

void dfs3(int x, vector<int> &vv) {
	v[x] = 1;
	vv.pb(x);
	for (auto u : adj[x]) {
		if (!og[u[1]]) {
			splist.pb(u[0]);
			continue;
		}
		if (v[u[0]]) continue;
		dfs3(u[0], vv);
	}
}

int solve(int x) {
	v = 0;
	va.clear(); vb.clear(); splist.clear();

	if (bigg[x][0] >= b) {
		v[x] = 1;
		dfs2(bigg[x][1], vb);
		dfs2(x, va);
		return 1;
	} else if (p[x] != x) {
		v[x] = 1;
		dfs3(p[x], vb);
		while (sz(splist) && sz(vb) < b) {
			auto u = splist.back();
			splist.pop_back();
			if (v[u]) continue;
			dfs2(u, vb);
		}
		if (sz(vb) < b) return 0;
		dfs2(x, va);
		return 1;
	}
	return 0;
}

vector<int>
find_split(int _n, int _a, int _b, int _c, vector<int> p, vector<int>q)
{
	n = _n; a = _a; b = _b; c = _c;
	oa = 1; ob = 2; oc = 3;
	vector<int> ans(n, 0);


	if (c < b) { swap(b, c); swap(oc, ob); }
	if (c < a) { swap(a, c); swap(oa, oc); }
	if (b > a) { swap(a, b); swap(oa, ob); }
	/* c > a > b */

	for (int i = 0; i < sz(p); ++i) {
		adj[p[i]].pb({q[i], i});
		adj[q[i]].pb({p[i], i});
	}

	p[0] = 0;
	dfs1(0);
	
	vector<int> cntr;
	for (int i = 0; i < n; ++i) {
		if (bigg[i][0] <= n/2)
			cntr.pb(i);
	}

	assert(sz(cntr) > 0);
	if (solve(cntr[0])^1)
		return ans;

	assert(sz(va) >= a);
	assert(sz(vb) >= b);

	v = 0;
	for(int i = 0; i < b; ++i) {
		ans[vb[i]] = ob;
		v[vb[i]] = 1;
	}

	for(int i = 0; i < a; ++i) {
		ans[va[i]] = oa;
		v[va[i]] = 1;
	}

	for (int i = 0; i < n; ++i) {
		if (!v[i])
			ans[i] = oc;
	}
	
	return ans;
}

Subtask #1
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 2644 KB ok, correct split
2 Correct 1 ms 2644 KB ok, correct split
3 Correct 1 ms 2644 KB ok, correct split
4 Correct 2 ms 2644 KB ok, correct split
5 Correct 2 ms 2656 KB ok, correct split
6 Correct 1 ms 2644 KB ok, correct split
7 Correct 52 ms 19560 KB ok, correct split
8 Correct 71 ms 16880 KB ok, correct split
9 Correct 50 ms 16056 KB ok, correct split
10 Correct 59 ms 20068 KB ok, correct split
11 Correct 55 ms 20000 KB ok, correct split

Subtask #2
11.0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 2644 KB ok, correct split
2 Correct 1 ms 2644 KB ok, correct split
3 Correct 2 ms 2644 KB ok, correct split
4 Correct 70 ms 18104 KB ok, correct split
5 Correct 44 ms 11340 KB ok, correct split
6 Correct 52 ms 20048 KB ok, correct split
7 Correct 57 ms 16604 KB ok, correct split
8 Correct 74 ms 16036 KB ok, correct split
9 Correct 45 ms 10620 KB ok, correct split
10 Correct 34 ms 11328 KB ok, correct split
11 Correct 42 ms 11352 KB ok, correct split
12 Correct 35 ms 11728 KB ok, correct split

Subtask #3
22.0 / 22.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 2644 KB ok, correct split
2 Correct 49 ms 11352 KB ok, correct split
3 Correct 18 ms 6228 KB ok, correct split
4 Correct 2 ms 2644 KB ok, correct split
5 Correct 51 ms 13896 KB ok, correct split
6 Correct 48 ms 13660 KB ok, correct split
7 Correct 47 ms 13384 KB ok, correct split
8 Correct 49 ms 15056 KB ok, correct split
9 Correct 47 ms 13256 KB ok, correct split
10 Correct 13 ms 5372 KB ok, no valid answer
11 Correct 20 ms 6708 KB ok, no valid answer
12 Correct 36 ms 10712 KB ok, no valid answer
13 Correct 39 ms 10724 KB ok, no valid answer
14 Correct 33 ms 10796 KB ok, no valid answer

Subtask #4
24.0 / 24.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 2644 KB ok, correct split
2 Correct 1 ms 2656 KB ok, no valid answer
3 Correct 1 ms 2644 KB ok, correct split
4 Correct 2 ms 2644 KB ok, correct split
5 Correct 2 ms 2644 KB ok, correct split
6 Correct 2 ms 2700 KB ok, correct split
7 Correct 1 ms 2644 KB ok, correct split
8 Correct 1 ms 2656 KB ok, correct split
9 Correct 3 ms 3028 KB ok, correct split
10 Correct 4 ms 2920 KB ok, correct split
11 Correct 2 ms 2644 KB ok, correct split
12 Correct 3 ms 3028 KB ok, correct split
13 Correct 1 ms 2656 KB ok, correct split
14 Correct 1 ms 2656 KB ok, correct split
15 Correct 1 ms 2644 KB ok, correct split
16 Correct 1 ms 2656 KB ok, correct split
17 Correct 1 ms 2644 KB ok, correct split
18 Correct 2 ms 2656 KB ok, correct split
19 Correct 2 ms 2644 KB ok, correct split
20 Correct 2 ms 2792 KB ok, correct split
21 Correct 2 ms 2900 KB ok, correct split
22 Correct 3 ms 3028 KB ok, correct split
23 Correct 2 ms 3028 KB ok, correct split
24 Correct 2 ms 2900 KB ok, correct split
25 Correct 2 ms 2900 KB ok, correct split
26 Correct 3 ms 2900 KB ok, correct split
27 Correct 3 ms 2924 KB ok, correct split
28 Correct 3 ms 2900 KB ok, correct split
29 Correct 1 ms 2660 KB ok, correct split
30 Correct 3 ms 2900 KB ok, correct split
31 Correct 2 ms 2796 KB ok, correct split
32 Correct 1 ms 2656 KB ok, correct split
33 Correct 2 ms 2644 KB ok, correct split
34 Correct 2 ms 2900 KB ok, correct split
35 Correct 2 ms 2924 KB ok, correct split
36 Correct 3 ms 2900 KB ok, correct split
37 Correct 3 ms 2988 KB ok, correct split
38 Correct 3 ms 3028 KB ok, correct split
39 Correct 3 ms 2920 KB ok, correct split
40 Correct 3 ms 2900 KB ok, correct split
41 Correct 2 ms 2792 KB ok, correct split
42 Correct 2 ms 2772 KB ok, correct split
43 Correct 3 ms 3028 KB ok, correct split
44 Correct 3 ms 3052 KB ok, correct split
45 Correct 4 ms 2992 KB ok, correct split
46 Correct 2 ms 2948 KB ok, correct split
47 Correct 3 ms 2920 KB ok, no valid answer
48 Correct 3 ms 2900 KB ok, correct split
49 Correct 3 ms 2900 KB ok, correct split
50 Correct 1 ms 2644 KB ok, no valid answer
51 Correct 1 ms 2656 KB ok, no valid answer
52 Correct 2 ms 2772 KB ok, no valid answer
53 Correct 3 ms 3028 KB ok, no valid answer
54 Correct 2 ms 2900 KB ok, no valid answer
55 Correct 2 ms 2900 KB ok, no valid answer
56 Correct 2 ms 2900 KB ok, no valid answer

Subtask #5
36.0 / 36.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 2644 KB ok, correct split
2 Correct 1 ms 2644 KB ok, correct split
3 Correct 1 ms 2644 KB ok, correct split
4 Correct 2 ms 2644 KB ok, correct split
5 Correct 2 ms 2656 KB ok, correct split
6 Correct 1 ms 2644 KB ok, correct split
7 Correct 52 ms 19560 KB ok, correct split
8 Correct 71 ms 16880 KB ok, correct split
9 Correct 50 ms 16056 KB ok, correct split
10 Correct 59 ms 20068 KB ok, correct split
11 Correct 55 ms 20000 KB ok, correct split
12 Correct 2 ms 2644 KB ok, correct split
13 Correct 1 ms 2644 KB ok, correct split
14 Correct 2 ms 2644 KB ok, correct split
15 Correct 70 ms 18104 KB ok, correct split
16 Correct 44 ms 11340 KB ok, correct split
17 Correct 52 ms 20048 KB ok, correct split
18 Correct 57 ms 16604 KB ok, correct split
19 Correct 74 ms 16036 KB ok, correct split
20 Correct 45 ms 10620 KB ok, correct split
21 Correct 34 ms 11328 KB ok, correct split
22 Correct 42 ms 11352 KB ok, correct split
23 Correct 35 ms 11728 KB ok, correct split
24 Correct 1 ms 2644 KB ok, correct split
25 Correct 49 ms 11352 KB ok, correct split
26 Correct 18 ms 6228 KB ok, correct split
27 Correct 2 ms 2644 KB ok, correct split
28 Correct 51 ms 13896 KB ok, correct split
29 Correct 48 ms 13660 KB ok, correct split
30 Correct 47 ms 13384 KB ok, correct split
31 Correct 49 ms 15056 KB ok, correct split
32 Correct 47 ms 13256 KB ok, correct split
33 Correct 13 ms 5372 KB ok, no valid answer
34 Correct 20 ms 6708 KB ok, no valid answer
35 Correct 36 ms 10712 KB ok, no valid answer
36 Correct 39 ms 10724 KB ok, no valid answer
37 Correct 33 ms 10796 KB ok, no valid answer
38 Correct 1 ms 2644 KB ok, correct split
39 Correct 1 ms 2656 KB ok, no valid answer
40 Correct 1 ms 2644 KB ok, correct split
41 Correct 2 ms 2644 KB ok, correct split
42 Correct 2 ms 2644 KB ok, correct split
43 Correct 2 ms 2700 KB ok, correct split
44 Correct 1 ms 2644 KB ok, correct split
45 Correct 1 ms 2656 KB ok, correct split
46 Correct 3 ms 3028 KB ok, correct split
47 Correct 4 ms 2920 KB ok, correct split
48 Correct 2 ms 2644 KB ok, correct split
49 Correct 3 ms 3028 KB ok, correct split
50 Correct 1 ms 2656 KB ok, correct split
51 Correct 1 ms 2656 KB ok, correct split
52 Correct 1 ms 2644 KB ok, correct split
53 Correct 1 ms 2656 KB ok, correct split
54 Correct 1 ms 2644 KB ok, correct split
55 Correct 2 ms 2656 KB ok, correct split
56 Correct 2 ms 2644 KB ok, correct split
57 Correct 2 ms 2792 KB ok, correct split
58 Correct 2 ms 2900 KB ok, correct split
59 Correct 3 ms 3028 KB ok, correct split
60 Correct 2 ms 3028 KB ok, correct split
61 Correct 2 ms 2900 KB ok, correct split
62 Correct 2 ms 2900 KB ok, correct split
63 Correct 3 ms 2900 KB ok, correct split
64 Correct 3 ms 2924 KB ok, correct split
65 Correct 3 ms 2900 KB ok, correct split
66 Correct 1 ms 2660 KB ok, correct split
67 Correct 3 ms 2900 KB ok, correct split
68 Correct 2 ms 2796 KB ok, correct split
69 Correct 1 ms 2656 KB ok, correct split
70 Correct 2 ms 2644 KB ok, correct split
71 Correct 2 ms 2900 KB ok, correct split
72 Correct 2 ms 2924 KB ok, correct split
73 Correct 3 ms 2900 KB ok, correct split
74 Correct 3 ms 2988 KB ok, correct split
75 Correct 3 ms 3028 KB ok, correct split
76 Correct 3 ms 2920 KB ok, correct split
77 Correct 3 ms 2900 KB ok, correct split
78 Correct 2 ms 2792 KB ok, correct split
79 Correct 2 ms 2772 KB ok, correct split
80 Correct 3 ms 3028 KB ok, correct split
81 Correct 3 ms 3052 KB ok, correct split
82 Correct 4 ms 2992 KB ok, correct split
83 Correct 2 ms 2948 KB ok, correct split
84 Correct 3 ms 2920 KB ok, no valid answer
85 Correct 3 ms 2900 KB ok, correct split
86 Correct 3 ms 2900 KB ok, correct split
87 Correct 1 ms 2644 KB ok, no valid answer
88 Correct 1 ms 2656 KB ok, no valid answer
89 Correct 2 ms 2772 KB ok, no valid answer
90 Correct 3 ms 3028 KB ok, no valid answer
91 Correct 2 ms 2900 KB ok, no valid answer
92 Correct 2 ms 2900 KB ok, no valid answer
93 Correct 2 ms 2900 KB ok, no valid answer
94 Correct 55 ms 14848 KB ok, correct split
95 Correct 87 ms 22008 KB ok, correct split
96 Correct 80 ms 19772 KB ok, correct split
97 Correct 19 ms 6228 KB ok, correct split
98 Correct 20 ms 6504 KB ok, correct split
99 Correct 31 ms 10020 KB ok, correct split
100 Correct 75 ms 16884 KB ok, correct split
101 Correct 72 ms 15300 KB ok, correct split
102 Correct 58 ms 14440 KB ok, correct split
103 Correct 57 ms 13848 KB ok, correct split
104 Correct 57 ms 15240 KB ok, correct split
105 Correct 28 ms 8288 KB ok, correct split
106 Correct 57 ms 15692 KB ok, correct split
107 Correct 46 ms 11524 KB ok, correct split
108 Correct 45 ms 11480 KB ok, correct split
109 Correct 72 ms 16140 KB ok, correct split
110 Correct 73 ms 17312 KB ok, correct split
111 Correct 78 ms 17396 KB ok, correct split
112 Correct 67 ms 16724 KB ok, correct split
113 Correct 68 ms 16704 KB ok, correct split
114 Correct 8 ms 4464 KB ok, correct split
115 Correct 8 ms 4180 KB ok, correct split
116 Correct 78 ms 17520 KB ok, correct split
117 Correct 75 ms 17216 KB ok, correct split
118 Correct 45 ms 10764 KB ok, correct split
119 Correct 46 ms 10840 KB ok, correct split
120 Correct 49 ms 15876 KB ok, correct split
121 Correct 40 ms 10736 KB ok, no valid answer
122 Correct 38 ms 10732 KB ok, no valid answer
123 Correct 67 ms 16636 KB ok, no valid answer
124 Correct 68 ms 16384 KB ok, no valid answer
125 Correct 43 ms 11844 KB ok, no valid answer
126 Correct 31 ms 10096 KB ok, no valid answer
127 Correct 46 ms 12216 KB ok, no valid answer