oj.uz

Submission #752026

# Submission time Handle Problem Language Result Execution time Memory
752026 2023-06-02T05:41:39 Z minhcool Parachute rings (IOI12_rings) C++17
100 / 100
 2008 ms 205328 KB 
#include<bits/stdc++.h>
#include <ext/pb_ds/assoc_container.hpp>
using namespace __gnu_pbds;
using namespace std;
 
#define ll long long
#define fi first
#define se second
#define pb push_back
#define mp make_pair
 
typedef pair<int, int> ii;
typedef pair<ii, int> iii;
typedef pair<ii, ii> iiii;
 
const int N = 1e6 + 5;
 
const int oo = 1e18 + 7, mod = 1e9 + 7;
 
mt19937 rng(1);
 
int n;
vector<int> Adj[N]; 
vector<ii> edges;
 
int deg[N], mx_deg;
 
int cur_ans = 0;
 
int szz[N], rtt[N];
 
void Init(int N_) {
	n = N_;
	for(int i = 1; i <= n; i++){
		szz[i] = 1, rtt[i] = i;	
	}
	cur_ans = n;
}
 
int cnt;
vector<int> candidates;
 
int deg2[N][8], mxdeg[8];
 
bool out[N];
 
int sz[N][8], rt[N][8];
 
void init(int ind){
	for(int i = 1; i <= n; i++){
		sz[i][ind] = 1, rt[i][ind] = i;
		deg2[i][ind] = 0;
	}
	mxdeg[ind] = 0;
	out[ind] = 0;
}
 
int root(int x, int ind){
	return (x == rt[x][ind] ? x : rt[x][ind] = root(rt[x][ind], ind));
}
 
bool merge(int x, int y, int ind){
	x = root(x, ind), y = root(y, ind);
	if(x == y) return 0;
	if(sz[x][ind] < sz[y][ind]) swap(x, y);
	sz[x][ind] += sz[y][ind];
	rt[y][ind] = x;
	return 1;
}
 
void add_edge(int x, int y, int ind){
	if(x == candidates[ind - 1] || y == candidates[ind - 1]) return;
	deg2[x][ind]++, deg2[y][ind]++;
	mxdeg[ind] = max(mxdeg[ind], deg2[x][ind]);
	mxdeg[ind] = max(mxdeg[ind], deg2[y][ind]);
	out[ind] |= (!merge(x, y, ind));
	out[ind] |= (mxdeg[ind] >= 3);
}
 
 
int roott(int x){
	return (x == rtt[x] ? x : rtt[x] = roott(rtt[x]));
}
 
bool mergee(int x, int y){
	x = roott(x), y = roott(y);
	if(x == y) return 0;
	if(szz[x] < szz[y]) swap(x, y);
	szz[x] += szz[y];
	rtt[y] = x;
	return 1;
}
 
int tol_cyc = 0;
 
int d[N];
 
vector<int> Ad[N];
 
void dfs(int u, int p){
	for(auto v : Adj[u]){
		if(v == p) continue;
		d[v] = d[u] + 1;
		dfs(v, u);
	}
}
 
set<int> se;
 
void Link(int A, int B) {
	A++, B++;
	//Adj[A].pb(B);
	//Adj[B].pb(A);
	Ad[A].pb(B);
	Ad[B].pb(A);
    //if(deg[A] == 3) se.erase(A);
    //if(deg[B] == 3) se.erase(B);
	edges.pb({A, B});
	int old = mx_deg;
	//se.erase({deg[A], A});
	//se.erase({deg[B], B});
	deg[A]++;
	deg[B]++;
    if(deg[A] == 3 && se.size() <= 4) se.insert(A);
    if(deg[B] == 3 && se.size() <= 4) se.insert(B);
	//se.insert({deg[A], A});
	//se.insert({deg[B], B});
	mx_deg = max(mx_deg, deg[A]);
	mx_deg = max(mx_deg, deg[B]);
	if(mx_deg <= 2){
        if(tol_cyc >= 2) return;
		int lst = tol_cyc;
		tol_cyc += (!mergee(A, B));
		if(tol_cyc == 2) cur_ans = 0;
		else if(!tol_cyc) cur_ans = n;
		else{
			if(lst == 1) return;
			for(int i = 0; (i + 1) < edges.size(); i++){
				Adj[edges[i].fi].pb(edges[i].se);
				Adj[edges[i].se].pb(edges[i].fi);
			}
			dfs(A, A);
			cur_ans = d[B] + 1;
		}
	}
	else if(mx_deg == 3){
	//	cout << "OK " << cnt << "\n";
		int counter = se.size();
		if(counter > 4){
			cur_ans = 0;
			return;
		}
		int lst_cnt = cnt;
		if(deg[A] >= 3){
			bool ck = 1;
			for(auto it : candidates) ck &= (it != A);
			if(ck){
				cnt++;
				init(cnt);
				candidates.pb(A);
				for(auto it : edges) add_edge(it.fi, it.se, cnt);
			}
			for(auto it : Ad[A]){		
				bool ck = 1;
				for(auto it2 : candidates) ck &= (it != it2);
				int cn = 0;
				for(auto it2 : Ad[it]) cn += (deg[it2] >= 3);
				ck &= (cn == counter); 
				if(ck){
					cnt++;
					init(cnt);
					candidates.pb(it);
					for(auto it2 : edges) add_edge(it2.fi, it2.se, cnt);
				}
			}
		}
		if(deg[B] >= 3){
			bool ck = 1;
			for(auto it : candidates) ck &= (it != B);
			if(ck){
				cnt++;
				init(cnt);
				candidates.pb(B);
				for(auto it : edges) add_edge(it.fi, it.se, cnt);
			}
			for(auto it : Ad[B]){		
				bool ck = 1;
				for(auto it2 : candidates) ck &= (it != it2);
				int cn = 0;
				for(auto it2 : Ad[it]) cn += (deg[it2] >= 3);
				ck &= (cn == counter); 
				if(ck){
					cnt++;
					init(cnt);
					candidates.pb(it);
					for(auto it2 : edges) add_edge(it2.fi, it2.se, cnt);
				}
			}
		}
	//	exit(0);
		for(int i = 1; i <= lst_cnt; i++) add_edge(A, B, i);
		cur_ans = 0;
		for(int i = 1; i <= cnt; i++) cur_ans += (!out[i]);
	}
	else{
		//cout << "OK\n";
		if(old < 4){
			candidates.clear();
			cnt = 0;
		}
        else{
          if(cnt >= 2) return;
		}
		if(deg[A] >= 4){
			bool ck = 1;
			for(auto it : candidates) ck &= (it != A);
			if(ck){
				cnt++;
				candidates.pb(A);
			}
		}
		if(deg[B] >= 4){
			bool ck = 1;
			for(auto it : candidates) ck &= (it != B);
			if(ck){
				cnt++;
				candidates.pb(B);
			}
		}
	//	cout << cnt << "\n";
		if(cnt >= 2){
			cur_ans = 0;
			return;
		}
		if(old < 4){// build new graph
			init(1);
			assert(cnt == 1);
			for(auto it : edges) add_edge(it.fi, it.se, 1);
		}
		else{
			add_edge(A, B, 1);
		}
		cur_ans = (!out[1]);
	}
}
 
int CountCritical() {
	return cur_ans;
}
 
/*
void process(){
	int n;
	cin >> n;
	Init(n);
	int m;
	cin >> m;
	for(int i = 1; i <= m; i++){
		int x, y;
		cin >> x >> y;
		Link(x, y);
		cout << CountCritical() << "\n";
	}
}
 
signed main(){
	process();
}*/

Compilation message

rings.cpp:18:21: warning: overflow in conversion from 'double' to 'int' changes value from '1.0e+18' to '2147483647' [-Woverflow]
   18 | const int oo = 1e18 + 7, mod = 1e9 + 7;
      |                ~~~~~^~~
rings.cpp: In function 'void Link(int, int)':
rings.cpp:138:27: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::pair<int, int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  138 |    for(int i = 0; (i + 1) < edges.size(); i++){
      |                   ~~~~~~~~^~~~~~~~~~~~~~

Subtask #1
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 29 ms 47240 KB Output is correct
2 Correct 27 ms 47900 KB Output is correct
3 Correct 26 ms 48084 KB Output is correct
4 Correct 26 ms 47308 KB Output is correct
5 Correct 30 ms 47620 KB Output is correct
6 Correct 28 ms 47816 KB Output is correct
7 Correct 29 ms 47868 KB Output is correct
8 Correct 31 ms 47700 KB Output is correct
9 Correct 32 ms 48076 KB Output is correct
10 Correct 28 ms 48060 KB Output is correct

Subtask #2
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 411 ms 74056 KB Output is correct
2 Correct 1181 ms 163292 KB Output is correct
3 Correct 886 ms 188112 KB Output is correct
4 Correct 1485 ms 131244 KB Output is correct
5 Correct 1505 ms 134252 KB Output is correct
6 Correct 1582 ms 147152 KB Output is correct
7 Correct 841 ms 186996 KB Output is correct
8 Correct 1576 ms 182932 KB Output is correct
9 Correct 2008 ms 205328 KB Output is correct
10 Correct 954 ms 139768 KB Output is correct

Subtask #3
18.0 / 18.0

# Verdict Execution time Memory Grader output
1 Correct 29 ms 47240 KB Output is correct
2 Correct 27 ms 47900 KB Output is correct
3 Correct 26 ms 48084 KB Output is correct
4 Correct 26 ms 47308 KB Output is correct
5 Correct 30 ms 47620 KB Output is correct
6 Correct 28 ms 47816 KB Output is correct
7 Correct 29 ms 47868 KB Output is correct
8 Correct 31 ms 47700 KB Output is correct
9 Correct 32 ms 48076 KB Output is correct
10 Correct 28 ms 48060 KB Output is correct
11 Correct 28 ms 48048 KB Output is correct
12 Correct 32 ms 49168 KB Output is correct
13 Correct 31 ms 48924 KB Output is correct
14 Correct 28 ms 48736 KB Output is correct
15 Correct 35 ms 49752 KB Output is correct
16 Correct 29 ms 48204 KB Output is correct
17 Correct 32 ms 48940 KB Output is correct
18 Correct 31 ms 50048 KB Output is correct
19 Correct 32 ms 48284 KB Output is correct
20 Correct 31 ms 48952 KB Output is correct

Subtask #4
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 29 ms 47240 KB Output is correct
2 Correct 27 ms 47900 KB Output is correct
3 Correct 26 ms 48084 KB Output is correct
4 Correct 26 ms 47308 KB Output is correct
5 Correct 30 ms 47620 KB Output is correct
6 Correct 28 ms 47816 KB Output is correct
7 Correct 29 ms 47868 KB Output is correct
8 Correct 31 ms 47700 KB Output is correct
9 Correct 32 ms 48076 KB Output is correct
10 Correct 28 ms 48060 KB Output is correct
11 Correct 28 ms 48048 KB Output is correct
12 Correct 32 ms 49168 KB Output is correct
13 Correct 31 ms 48924 KB Output is correct
14 Correct 28 ms 48736 KB Output is correct
15 Correct 35 ms 49752 KB Output is correct
16 Correct 29 ms 48204 KB Output is correct
17 Correct 32 ms 48940 KB Output is correct
18 Correct 31 ms 50048 KB Output is correct
19 Correct 32 ms 48284 KB Output is correct
20 Correct 31 ms 48952 KB Output is correct
21 Correct 38 ms 49280 KB Output is correct
22 Correct 51 ms 50360 KB Output is correct
23 Correct 56 ms 51104 KB Output is correct
24 Correct 93 ms 59284 KB Output is correct
25 Correct 43 ms 58316 KB Output is correct
26 Correct 72 ms 60184 KB Output is correct
27 Correct 73 ms 53956 KB Output is correct
28 Correct 74 ms 60480 KB Output is correct
29 Correct 69 ms 59868 KB Output is correct
30 Correct 85 ms 56384 KB Output is correct

Subtask #5
31.0 / 31.0

# Verdict Execution time Memory Grader output
1 Correct 29 ms 47240 KB Output is correct
2 Correct 27 ms 47900 KB Output is correct
3 Correct 26 ms 48084 KB Output is correct
4 Correct 26 ms 47308 KB Output is correct
5 Correct 30 ms 47620 KB Output is correct
6 Correct 28 ms 47816 KB Output is correct
7 Correct 29 ms 47868 KB Output is correct
8 Correct 31 ms 47700 KB Output is correct
9 Correct 32 ms 48076 KB Output is correct
10 Correct 28 ms 48060 KB Output is correct
11 Correct 411 ms 74056 KB Output is correct
12 Correct 1181 ms 163292 KB Output is correct
13 Correct 886 ms 188112 KB Output is correct
14 Correct 1485 ms 131244 KB Output is correct
15 Correct 1505 ms 134252 KB Output is correct
16 Correct 1582 ms 147152 KB Output is correct
17 Correct 841 ms 186996 KB Output is correct
18 Correct 1576 ms 182932 KB Output is correct
19 Correct 2008 ms 205328 KB Output is correct
20 Correct 954 ms 139768 KB Output is correct
21 Correct 28 ms 48048 KB Output is correct
22 Correct 32 ms 49168 KB Output is correct
23 Correct 31 ms 48924 KB Output is correct
24 Correct 28 ms 48736 KB Output is correct
25 Correct 35 ms 49752 KB Output is correct
26 Correct 29 ms 48204 KB Output is correct
27 Correct 32 ms 48940 KB Output is correct
28 Correct 31 ms 50048 KB Output is correct
29 Correct 32 ms 48284 KB Output is correct
30 Correct 31 ms 48952 KB Output is correct
31 Correct 38 ms 49280 KB Output is correct
32 Correct 51 ms 50360 KB Output is correct
33 Correct 56 ms 51104 KB Output is correct
34 Correct 93 ms 59284 KB Output is correct
35 Correct 43 ms 58316 KB Output is correct
36 Correct 72 ms 60184 KB Output is correct
37 Correct 73 ms 53956 KB Output is correct
38 Correct 74 ms 60480 KB Output is correct
39 Correct 69 ms 59868 KB Output is correct
40 Correct 85 ms 56384 KB Output is correct
41 Correct 212 ms 66844 KB Output is correct
42 Correct 695 ms 162204 KB Output is correct
43 Correct 294 ms 152556 KB Output is correct
44 Correct 651 ms 191976 KB Output is correct
45 Correct 718 ms 187668 KB Output is correct
46 Correct 941 ms 126348 KB Output is correct
47 Correct 1408 ms 141088 KB Output is correct
48 Correct 529 ms 178428 KB Output is correct
49 Correct 607 ms 100516 KB Output is correct
50 Correct 699 ms 100052 KB Output is correct
51 Correct 316 ms 140652 KB Output is correct
52 Correct 569 ms 164840 KB Output is correct
53 Correct 527 ms 178868 KB Output is correct
54 Correct 1398 ms 175388 KB Output is correct
55 Correct 1128 ms 187012 KB Output is correct