oj.uz

Submission #1105207

# Submission time Handle Problem Language Result Execution time Memory
1105207 2024-10-25T17:37:40 Z Nonoze Parachute rings (IOI12_rings) C++17
100 / 100
 1362 ms 251976 KB 
#include <bits/stdc++.h>
using namespace std;

#define endl '\n'
#define endlfl '\n' << flush
#define quit(x) return (void)(cout << x << endl)

template<typename T> void read(T& x) { cin >> x;}
template<typename T1, typename T2> void read(pair<T1, T2>& p) { read(p.first), read(p.second);}
template<typename T> void read(vector<T>& v) { for (auto& x : v) read(x); }
template<typename T1, typename T2> void read(T1& x, T2& y) { read(x), read(y); }
template<typename T1, typename T2, typename T3> void read(T1& x, T2& y, T3& z) { read(x), read(y), read(z); }
template<typename T1, typename T2, typename T3, typename T4> void read(T1& x, T2& y, T3& z, T4& zz) { read(x), read(y), read(z), read(zz); }
template<typename T> void print(vector<T>& v) { for (auto& x : v) cout << x << ' '; cout << endl; }

#define sz(x) (int)(x.size())
#define all(x) (x).begin(), (x).end()
#define rall(x) (x).rbegin(), (x).rend()
#define pb push_back
#define mp make_pair
#define fi first
#define se second
#define cmin(a, b) a = min(a, b)
#define cmax(a, b) a = max(a, b)
#define YES cout << "YES" << endl
#define NO cout << "NO" << endl
#define QYES quit("YES")
#define QNO quit("NO")

// #define int long long
#define double long double
const int inf = numeric_limits<int>::max() / 4;
mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());
const int MOD = 1e9+7, LOG=25;

int n, cnt;
vector<int> par, sz;
vector<vector<int>> contains;
vector<set<int>> adj;
set<int> critical;
int only=-1;

int find(int x) {
	if (x==par[x]) return x;
	return par[x] = find(par[x]);
}

bool same(int a, int b) {
	return find(a)==find(b);
}

void merge(int a, int b) {
	a = find(a), b = find(b);
	if (a==b) return;
	if (sz[a]<sz[b]) swap(a, b);
	par[b] = a;
	sz[a] += sz[b];
	for (int i=1; i<4; i++) {
		contains[a][i] += contains[b][i];
	}
}

vector<bool> visited;

bool dfs(int x, int par=-1) {
	visited[x]=1;
	int cnt=0;
	for (auto u: adj[x]) {
		if (u==par) continue;
		if (cnt==1 || visited[u]) {
			return 0;
		}
		if (!dfs(u, x)) return 0;
		cnt++;
	}
	return 1;
}

bool works(int a, bool real=1, int past=-1) {
	if (real) {
		for (auto u: adj[a]) {
			if (!works(u, 0, a)) return 0;
		}
		return 1;
	}
	if (sz(adj[a])>2) return 0;
	visited.assign(n, 0);
	visited[a]=1;
	if (sz(adj[a])>1) return (dfs(*adj[a].begin(), a) && dfs(*next(adj[a].begin()), a));
	else if (sz(adj[a])) return dfs(*adj[a].begin(), a);
	return 1;
}

void Init(int N_) {
	n = N_;
	cnt=n;
	par.resize(n), sz.resize(n, 1), contains.resize(n, vector<int>(4, 0));
	iota(all(par), 0);
	adj.resize(n);
	for (int i=0; i<n; i++) critical.insert(i);
}

void Link(int a, int b) {
	if (critical.empty() || a==only || b==only) return;
	if (a>b) swap(a, b);
	if (same(a, b) || sz(adj[a])>=2 || sz(adj[b])>=2) {
		if (only!=-1) {
			critical.clear();
			return;
		}
		if (sz(adj[a])>=3 || sz(adj[b])>=3) {
			int cnta=critical.count(a), cntb=critical.count(b);
			critical.clear();
			if (sz(adj[b])<3 && cnta) critical.insert(a);
			else if (sz(adj[a])<3 && cntb) critical.insert(b);
			if (!sz(critical)) return;
			only=*critical.begin();
			par.clear(), sz.clear(); par.resize(n), sz.resize(n, 1); iota(all(par), 0);
			for (int i=0; i<n; i++) {
				if (i==only) continue;
				for (auto u: adj[i]) {
					if (u==only) continue;
					merge(i, u);
				}
				if (adj[i].count(only)) adj[i].erase(only);
			}
			return;
		}
		contains[find(a)][min(sz(adj[a]), 3)]--, contains[find(b)][min(sz(adj[b]), 3)]--;
		contains[find(a)][min(sz(adj[a])+1, 3)]++, contains[find(b)][min(sz(adj[b])+1, 3)]++;
		if (sz(critical)==n) {
			critical.clear();
			for (int i=0; i<n; i++) {
				if (i==a || i==b || (find(i)==find(a) && sz(adj[a])<2 && sz(adj[b])<2)) {
					critical.insert(i);
				} else if ((adj[a].count(i) && sz(adj[b])<2) || (adj[b].count(i) && sz(adj[a])<2)) {
					critical.insert(i);
				}
			}
		} else {
			set<int> neww;
			for (auto u: critical) {
				if (u==a || u==b) {
					neww.insert(u);
				} else if (((adj[a].count(u) && sz(adj[b])<2) || (adj[b].count(u) && sz(adj[a])<2))) {
					neww.insert(u);
				} else if (find(u)==find(a) || find(u)==find(b)) {
					adj[a].insert(b), adj[b].insert(a);
					for (auto x: adj[u]) adj[x].erase(u);
					if (works(u)) neww.insert(u);
					for (auto x: adj[u]) adj[x].insert(u);
					adj[a].erase(b), adj[b].erase(a);
				}
			}
			critical=neww;
		}
		merge(a, b);
		adj[a].insert(b), adj[b].insert(a);
		return;
	}
	merge(a, b);
	contains[find(a)][sz(adj[a])]--;
	contains[find(b)][sz(adj[b])]--;
	adj[a].insert(b), adj[b].insert(a);
	contains[find(a)][sz(adj[a])]++;
	contains[find(b)][sz(adj[b])]++;
}

int CountCritical() {
	return sz(critical);
}

Subtask #1
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 336 KB Output is correct
2 Correct 3 ms 1360 KB Output is correct
3 Correct 3 ms 1360 KB Output is correct
4 Correct 1 ms 592 KB Output is correct
5 Correct 3 ms 1316 KB Output is correct
6 Correct 4 ms 1616 KB Output is correct
7 Correct 2 ms 1104 KB Output is correct
8 Correct 3 ms 1532 KB Output is correct
9 Correct 5 ms 1360 KB Output is correct
10 Correct 3 ms 1360 KB Output is correct

Subtask #2
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 589 ms 130376 KB Output is correct
2 Correct 1049 ms 162888 KB Output is correct
3 Correct 443 ms 162512 KB Output is correct
4 Correct 1268 ms 251848 KB Output is correct
5 Correct 1305 ms 251476 KB Output is correct
6 Correct 1362 ms 251688 KB Output is correct
7 Correct 446 ms 162632 KB Output is correct
8 Correct 1018 ms 206664 KB Output is correct
9 Correct 1125 ms 234560 KB Output is correct
10 Correct 1048 ms 251976 KB Output is correct

Subtask #3
18.0 / 18.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 336 KB Output is correct
2 Correct 3 ms 1360 KB Output is correct
3 Correct 3 ms 1360 KB Output is correct
4 Correct 1 ms 592 KB Output is correct
5 Correct 3 ms 1316 KB Output is correct
6 Correct 4 ms 1616 KB Output is correct
7 Correct 2 ms 1104 KB Output is correct
8 Correct 3 ms 1532 KB Output is correct
9 Correct 5 ms 1360 KB Output is correct
10 Correct 3 ms 1360 KB Output is correct
11 Correct 4 ms 1360 KB Output is correct
12 Correct 7 ms 2896 KB Output is correct
13 Correct 7 ms 2492 KB Output is correct
14 Correct 5 ms 1872 KB Output is correct
15 Correct 8 ms 3408 KB Output is correct
16 Correct 7 ms 2640 KB Output is correct
17 Correct 5 ms 2076 KB Output is correct
18 Correct 8 ms 3664 KB Output is correct
19 Correct 7 ms 2896 KB Output is correct
20 Correct 7 ms 2552 KB Output is correct

Subtask #4
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 336 KB Output is correct
2 Correct 3 ms 1360 KB Output is correct
3 Correct 3 ms 1360 KB Output is correct
4 Correct 1 ms 592 KB Output is correct
5 Correct 3 ms 1316 KB Output is correct
6 Correct 4 ms 1616 KB Output is correct
7 Correct 2 ms 1104 KB Output is correct
8 Correct 3 ms 1532 KB Output is correct
9 Correct 5 ms 1360 KB Output is correct
10 Correct 3 ms 1360 KB Output is correct
11 Correct 4 ms 1360 KB Output is correct
12 Correct 7 ms 2896 KB Output is correct
13 Correct 7 ms 2492 KB Output is correct
14 Correct 5 ms 1872 KB Output is correct
15 Correct 8 ms 3408 KB Output is correct
16 Correct 7 ms 2640 KB Output is correct
17 Correct 5 ms 2076 KB Output is correct
18 Correct 8 ms 3664 KB Output is correct
19 Correct 7 ms 2896 KB Output is correct
20 Correct 7 ms 2552 KB Output is correct
21 Correct 30 ms 11088 KB Output is correct
22 Correct 49 ms 16868 KB Output is correct
23 Correct 66 ms 21832 KB Output is correct
24 Correct 48 ms 15532 KB Output is correct
25 Correct 29 ms 16356 KB Output is correct
26 Correct 70 ms 17736 KB Output is correct
27 Correct 78 ms 20808 KB Output is correct
28 Correct 35 ms 15440 KB Output is correct
29 Correct 35 ms 16976 KB Output is correct
30 Correct 73 ms 26184 KB Output is correct

Subtask #5
31.0 / 31.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 336 KB Output is correct
2 Correct 3 ms 1360 KB Output is correct
3 Correct 3 ms 1360 KB Output is correct
4 Correct 1 ms 592 KB Output is correct
5 Correct 3 ms 1316 KB Output is correct
6 Correct 4 ms 1616 KB Output is correct
7 Correct 2 ms 1104 KB Output is correct
8 Correct 3 ms 1532 KB Output is correct
9 Correct 5 ms 1360 KB Output is correct
10 Correct 3 ms 1360 KB Output is correct
11 Correct 589 ms 130376 KB Output is correct
12 Correct 1049 ms 162888 KB Output is correct
13 Correct 443 ms 162512 KB Output is correct
14 Correct 1268 ms 251848 KB Output is correct
15 Correct 1305 ms 251476 KB Output is correct
16 Correct 1362 ms 251688 KB Output is correct
17 Correct 446 ms 162632 KB Output is correct
18 Correct 1018 ms 206664 KB Output is correct
19 Correct 1125 ms 234560 KB Output is correct
20 Correct 1048 ms 251976 KB Output is correct
21 Correct 4 ms 1360 KB Output is correct
22 Correct 7 ms 2896 KB Output is correct
23 Correct 7 ms 2492 KB Output is correct
24 Correct 5 ms 1872 KB Output is correct
25 Correct 8 ms 3408 KB Output is correct
26 Correct 7 ms 2640 KB Output is correct
27 Correct 5 ms 2076 KB Output is correct
28 Correct 8 ms 3664 KB Output is correct
29 Correct 7 ms 2896 KB Output is correct
30 Correct 7 ms 2552 KB Output is correct
31 Correct 30 ms 11088 KB Output is correct
32 Correct 49 ms 16868 KB Output is correct
33 Correct 66 ms 21832 KB Output is correct
34 Correct 48 ms 15532 KB Output is correct
35 Correct 29 ms 16356 KB Output is correct
36 Correct 70 ms 17736 KB Output is correct
37 Correct 78 ms 20808 KB Output is correct
38 Correct 35 ms 15440 KB Output is correct
39 Correct 35 ms 16976 KB Output is correct
40 Correct 73 ms 26184 KB Output is correct
41 Correct 341 ms 103124 KB Output is correct
42 Correct 715 ms 171336 KB Output is correct
43 Correct 442 ms 150088 KB Output is correct
44 Correct 390 ms 157768 KB Output is correct
45 Correct 757 ms 174408 KB Output is correct
46 Correct 933 ms 213492 KB Output is correct
47 Correct 1036 ms 220784 KB Output is correct
48 Correct 382 ms 165704 KB Output is correct
49 Correct 894 ms 235536 KB Output is correct
50 Correct 854 ms 232776 KB Output is correct
51 Correct 380 ms 128952 KB Output is correct
52 Correct 355 ms 126536 KB Output is correct
53 Correct 439 ms 164396 KB Output is correct
54 Correct 1079 ms 175176 KB Output is correct
55 Correct 1138 ms 191304 KB Output is correct