oj.uz

Submission #346002

# Submission time Handle Problem Language Result Execution time Memory
346002 2021-01-08T21:35:40 Z AmineWeslati Split the Attractions (IOI19_split) C++14
40 / 100
 127 ms 25964 KB 
//Never stop trying
/*#pragma GCC target ("avx2")
#pragma GCC optimize ("Ofast")
#pragma GCC optimization ("O3")
#pragma GCC optimization ("unroll-loops")*/
#include "bits/stdc++.h"
using namespace std;
#define boost ios_base::sync_with_stdio(false); cin.tie(0); cout.tie(0)

typedef long long ll;
typedef string str;
typedef double db;
typedef long double ld;
typedef pair<int, int> pi;
#define fi first
#define se second
typedef vector<int> vi;
typedef vector<pi> vpi;
typedef vector<str> vs;
typedef vector<ld> vd;
#define pb push_back
#define eb emplace_back
#define sz(x) (int)x.size()
#define all(x) begin(x), end(x)
#define rall(x) rbegin(x), rend(x)
#define endl "\n"

#define FOR(i,a,b) for (int i = (a); i < (b); ++i)
#define ROF(i,a,b) for (int i = (b)-1; i >= (a); --i)

const int MOD = 1e9 + 7; //998244353
const ll INF = 1e9;
const int MX = 2e5 + 10;
const int nx[4] = {0, 0, 1, -1}, ny[4] = {1, -1, 0, 0}; //right left down up

template<class T> using V = vector<T>;
template<class T> bool ckmin(T& a, const T& b) { return a > b ? a = b, 1 : 0; }
template<class T> bool ckmax(T& a, const T& b) { return a < b ? a = b, 1 : 0; }

ll cdiv(ll a, ll b) { return a / b + ((a ^ b) > 0 && a % b); } // divide a by b rounded up
//constexpr int log2(int x) { return 31 - __builtin_clz(x); } // floor(log2(x))

mt19937 rng(chrono::system_clock::now().time_since_epoch().count());
//mt19937_64 rng(chrono::system_clock::now().time_since_epoch().count());

ll random(ll a, ll b){
    return a + rng() % (b - a + 1);
}

#ifndef LOCAL  
#define cerr if(false) cerr
#endif
#define dbg(x) cerr << #x << " : " << x << endl; 
#define dbgs(x,y) cerr << #x << " : " << x << " / " << #y << " : " << y << endl;
#define dbgv(v) cerr << #v << " : " << "[ "; for(auto it : v) cerr << it << ' '; cerr << ']' << endl;
#define here() cerr << "here" << endl;

void IO() {
#ifdef LOCAL
    freopen("input.txt", "r", stdin);
    freopen("output.txt", "w", stdout);
#endif
}

#ifndef LOCAL
#include "split.h"
#endif

int N,A,B,C;  //A<=B<=C
vi order,ans(MX);
vpi ed;

vi vec;
bool cmp(int i, int j){
	return vec[i] < vec[j];
}
void reorder(int a, int b, int c){
	vec.assign({0,a,b,c});
	order.assign({0,1,2,3});
	sort(all(order),cmp);
	A=vec[order[1]],B=vec[order[2]],C=vec[order[3]];
}


vi par(MX),rnk(MX);
int findSet(int u){ return par[u]==u ? u : par[u]=findSet(par[u]); }
void unionSet(int u, int v){
	u=findSet(u),v=findSet(v);
	if(rnk[v]>rnk[u]) swap(u,v);
	if(rnk[v]==rnk[u]) rnk[u]++;
	par[v]=u;
}

vi adj[MX],sub(MX);
void dfs(int u, int p){
	sub[u]=1;
	for(auto v: adj[u]) if(v!=p){
		dfs(v,u);
		sub[u]+=sub[v];
	}
}

int r;
void color(int u, int p, int c, int no){
	ans[u]=c;
	r--;
	for(auto v: adj[u]) if(v!=p && v!=no && r>0){
		color(v,u,c,no);
	}
}



vi adj2[MX];
void assignComp(int u, int p){
	for(auto v: adj[u]) if(v!=p){
		adj2[u].pb(v);
		adj2[v].pb(u);
		assignComp(v,u);
	}
}

vi colored,vis(MX);
void color2(int u){
	vis[u]=1;
	colored.pb(u);
	r--;
	for(auto v: adj2[u]) if(!vis[v] && r>0){
		color2(v);
	}
}

void color3(int u, int p){
	ans[u]=2;
	r--;
	for(auto v: adj[u]) if(v!=p && ans[v]==0 && r>0) color3(v,u);
}


vi find_split(int n, int a, int b, int c, vi p, vi q){
	N=n; ans.assign(N,0);
	reorder(a,b,c);

	FOR(i,0,N) par[i]=i,rnk[i]=0;
	FOR(i,0,sz(p)){
		int u=p[i],v=q[i];
		if(findSet(u)!=findSet(v)){
			unionSet(u,v);
			adj[u].pb(v); 
			adj[v].pb(u);
		}
		else ed.eb(u,v);
	}

	dfs(0,0);
	int C; 
	FOR(u,0,N){
		bool y=true;
		y&=(N-sub[u]<=N/2);
		for(auto v: adj[u]) if(sub[v]<sub[u]) y&=(sub[v]<=N/2);
		if(y){
			C=u; break;
		}
	}

	dfs(C,C);
	c=-1; for(auto v: adj[C]) if(sub[v]>=A) c=v;

	if(c!=-1){
		r=A;
		color(c,C,1,-1);
		r=B;
		color(C,C,2,c);
	}
	else{

		for(auto c: adj[C]){
			assignComp(c,C);
		}

		for(auto x: ed){
			int u=x.fi,v=x.se;
			if(u==C || v==C) continue;
			adj2[u].pb(v); 
			adj2[v].pb(u);
		}

		FOR(i,0,N) vis[i]=0;
		bool done=false;
		FOR(i,0,N) if(vis[i]==0){
			r=a;
			colored.clear();
			color2(i);
			if(r<=0){
				done=true;
				for(auto u: colored) ans[u]=1;
				break;
			}
		}
		if(!done) return vi(N,0);
		r=b;
		color3(C,C);
	}

	FOR(i,0,N) if(!ans[i]) ans[i]=3;
	FOR(i,0,N) ans[i]=order[ans[i]]; 
	return ans;
}


#ifdef LOCAL
int main() {
    boost; IO();

    int N,M,a,b,c; cin>>N>>M>>a>>b>>c;
    vi p(M),q(M);
    FOR(i,0,M) cin>>p[i]>>q[i];
    /*FOR(i,0,M) cin>>p[i];
    FOR(i,0,M) cin>>q[i];*/
    vi v=find_split(N,a,b,c,p,q);
    for(auto x: v) cout << x << ' '; cout << endl;

    return 0;
}
#endif

/*
9 10 4 2 3
0 0 0 0 0 0 1 3 4 5
1 2 3 4 6 8 7 7 5 6
*/

/*

12 12 4 4 4
0 1
0 4
0 6
0 9
1 2
1 3
4 5
6 7 
6 8
9 10 
9 11
3 5
*/


/* Careful!!!
    .Array bounds
    .Infinite loops
    .Uninitialized variables / empty containers
    .Multisets are shit

   Some insights:
    .Binary search
    .Graph representation
    .Write brute force code
    .Change your approach
*/

Compilation message

split.cpp: In function 'vi find_split(int, int, int, int, vi, vi)':
split.cpp:156:6: warning: 'C' may be used uninitialized in this function [-Wmaybe-uninitialized]
  156 |  int C;
      |      ^

Subtask #1
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 9 ms 13676 KB ok, correct split
2 Correct 9 ms 13676 KB ok, correct split
3 Correct 9 ms 13676 KB ok, correct split
4 Correct 9 ms 13676 KB ok, correct split
5 Correct 9 ms 13676 KB ok, correct split
6 Correct 10 ms 13696 KB ok, correct split
7 Correct 120 ms 25964 KB ok, correct split
8 Correct 108 ms 24064 KB ok, correct split
9 Correct 115 ms 23532 KB ok, correct split
10 Correct 109 ms 25964 KB ok, correct split
11 Correct 121 ms 24940 KB ok, correct split

Subtask #2
11.0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 9 ms 13676 KB ok, correct split
2 Correct 11 ms 13676 KB ok, correct split
3 Correct 9 ms 13676 KB ok, correct split
4 Correct 106 ms 21732 KB ok, correct split
5 Correct 94 ms 19948 KB ok, correct split
6 Correct 109 ms 25964 KB ok, correct split
7 Correct 115 ms 23916 KB ok, correct split
8 Correct 127 ms 23136 KB ok, correct split
9 Correct 108 ms 19948 KB ok, correct split
10 Correct 65 ms 19940 KB ok, correct split
11 Correct 67 ms 20068 KB ok, correct split
12 Correct 65 ms 20324 KB ok, correct split

Subtask #3
22.0 / 22.0

# Verdict Execution time Memory Grader output
1 Correct 9 ms 13676 KB ok, correct split
2 Correct 89 ms 20060 KB ok, correct split
3 Correct 35 ms 16236 KB ok, correct split
4 Correct 9 ms 13676 KB ok, correct split
5 Correct 114 ms 21996 KB ok, correct split
6 Correct 114 ms 21740 KB ok, correct split
7 Correct 109 ms 21740 KB ok, correct split
8 Correct 111 ms 22636 KB ok, correct split
9 Correct 114 ms 21740 KB ok, correct split
10 Correct 37 ms 16844 KB ok, no valid answer
11 Correct 53 ms 18412 KB ok, no valid answer
12 Correct 89 ms 21480 KB ok, no valid answer
13 Correct 126 ms 23020 KB ok, no valid answer
14 Correct 64 ms 20324 KB ok, no valid answer

Subtask #4
0 / 24.0

# Verdict Execution time Memory Grader output
1 Correct 9 ms 13676 KB ok, correct split
2 Correct 9 ms 13676 KB ok, no valid answer
3 Correct 9 ms 13676 KB ok, correct split
4 Correct 9 ms 13676 KB ok, correct split
5 Correct 9 ms 13676 KB ok, correct split
6 Correct 9 ms 13676 KB ok, correct split
7 Correct 9 ms 13676 KB ok, correct split
8 Correct 10 ms 13676 KB ok, correct split
9 Correct 11 ms 13932 KB ok, correct split
10 Correct 11 ms 13932 KB ok, correct split
11 Correct 9 ms 13676 KB ok, correct split
12 Incorrect 11 ms 13932 KB invalid split: #1=800, #2=800, #3=801
13 Halted 0 ms 0 KB -

Subtask #5
0 / 36.0

# Verdict Execution time Memory Grader output
1 Correct 9 ms 13676 KB ok, correct split
2 Correct 9 ms 13676 KB ok, correct split
3 Correct 9 ms 13676 KB ok, correct split
4 Correct 9 ms 13676 KB ok, correct split
5 Correct 9 ms 13676 KB ok, correct split
6 Correct 10 ms 13696 KB ok, correct split
7 Correct 120 ms 25964 KB ok, correct split
8 Correct 108 ms 24064 KB ok, correct split
9 Correct 115 ms 23532 KB ok, correct split
10 Correct 109 ms 25964 KB ok, correct split
11 Correct 121 ms 24940 KB ok, correct split
12 Correct 9 ms 13676 KB ok, correct split
13 Correct 11 ms 13676 KB ok, correct split
14 Correct 9 ms 13676 KB ok, correct split
15 Correct 106 ms 21732 KB ok, correct split
16 Correct 94 ms 19948 KB ok, correct split
17 Correct 109 ms 25964 KB ok, correct split
18 Correct 115 ms 23916 KB ok, correct split
19 Correct 127 ms 23136 KB ok, correct split
20 Correct 108 ms 19948 KB ok, correct split
21 Correct 65 ms 19940 KB ok, correct split
22 Correct 67 ms 20068 KB ok, correct split
23 Correct 65 ms 20324 KB ok, correct split
24 Correct 9 ms 13676 KB ok, correct split
25 Correct 89 ms 20060 KB ok, correct split
26 Correct 35 ms 16236 KB ok, correct split
27 Correct 9 ms 13676 KB ok, correct split
28 Correct 114 ms 21996 KB ok, correct split
29 Correct 114 ms 21740 KB ok, correct split
30 Correct 109 ms 21740 KB ok, correct split
31 Correct 111 ms 22636 KB ok, correct split
32 Correct 114 ms 21740 KB ok, correct split
33 Correct 37 ms 16844 KB ok, no valid answer
34 Correct 53 ms 18412 KB ok, no valid answer
35 Correct 89 ms 21480 KB ok, no valid answer
36 Correct 126 ms 23020 KB ok, no valid answer
37 Correct 64 ms 20324 KB ok, no valid answer
38 Correct 9 ms 13676 KB ok, correct split
39 Correct 9 ms 13676 KB ok, no valid answer
40 Correct 9 ms 13676 KB ok, correct split
41 Correct 9 ms 13676 KB ok, correct split
42 Correct 9 ms 13676 KB ok, correct split
43 Correct 9 ms 13676 KB ok, correct split
44 Correct 9 ms 13676 KB ok, correct split
45 Correct 10 ms 13676 KB ok, correct split
46 Correct 11 ms 13932 KB ok, correct split
47 Correct 11 ms 13932 KB ok, correct split
48 Correct 9 ms 13676 KB ok, correct split
49 Incorrect 11 ms 13932 KB invalid split: #1=800, #2=800, #3=801
50 Halted 0 ms 0 KB -