oj.uz

Submission #400206

# Submission time Handle Problem Language Result Execution time Memory
400206 2021-05-07T15:23:02 Z MatheusLealV Simurgh (IOI17_simurgh) C++17
100 / 100
 767 ms 8360 KB 
#include "simurgh.h"
#include <bits/stdc++.h>
#define f first
#define s second
#define pb push_back
#define mp make_pair
#define all(x) begin(x), end(x)
#define sz(x) (int)(x).size()
#define rep(i, a, b) for (int i = (a); i < (b); ++i)
#define N 520
using namespace std;
typedef pair<int, int> pii;

pii ed[N*N];
vector<pii> grafo[N];
vector<int> tree, T[N];
int cnt, grau[N], id[N][N], ans[N*N];;
int vis[N], n, x[N], filhos[N], pai[N], nivel[N], dfsnum[N], dfslow[N];
struct dsu{
    int pai[N], peso[N];
    int Find(int x){
        if(x==pai[x]) return x;
        return pai[x] = Find(pai[x]);
    }
    int join(int a, int b){
        a = Find(a), b = Find(b);
        if(a== b) return 0;
        if(peso[a] > peso[b]) swap(a, b);
        pai[a]=b;
        if(peso[a]==peso[b])peso[b]++;
        return 1;
    }
    void init(){
        for(int i = 0; i <= n; i++){
            pai[i]=i;
            peso[i]=0;
        }
    }
} UF;
void dfs(int x){
	dfsnum[x] = dfslow[x] = ++cnt;
	vis[x] = 1;
	for(auto v: grafo[x]){
		if(!vis[v.f]){
			tree.pb(v.s);
			pai[v.f] = x;
			nivel[v.f] = nivel[x] + 1;
			T[x].pb(v.f);
			T[v.f].pb(x);
			dfs(v.f);
			if(dfslow[v.f] > dfsnum[x]) ans[v.s] = 1;
			dfslow[x]=min(dfslow[v.f], dfslow[x]);
		}
		else if(v.f != pai[x]) dfslow[x] = min(dfsnum[v.f], dfslow[x]);
	}
}
vector<int> find_roads(int NN, vector<int> u, vector<int> v) {
	// assert(u.size() == NN*(NN-1)/2);
	if(NN == 2){
		vector<int> ans;
		for(int i = 0; i < sz(u); i++) ans.pb(i);
		return ans;
	}
	n = NN;
	for(int i = 0; i < sz(u); i++){
		++u[i];++v[i];
		grafo[u[i]].pb({v[i], i});
		grafo[v[i]].pb({u[i], i});
		ed[i] = {u[i], v[i]};
		id[u[i]][v[i]] = id[v[i]][u[i]] = i;
	}

	dfs(1);
	sort(all(tree));
	int A = count_common_roads(tree);
	for(int x = 1; x <= n; x++){
		for(auto v: grafo[x]){
			if(binary_search(all(tree), v.s) or v.f > x) continue;
			int a = x, b = v.f;
			if(nivel[a] < nivel[b]) swap(a, b);
			vector<int> caras;
			while(a != b){
				caras.pb(id[a][pai[a]]);
				a = pai[a];
			}
			int good = -1,tot=0;
			for(auto w: caras)
				if(ans[w] != 0) good = w,tot++;
			if(tot == sz(caras)) continue;
			if(good == -1){
				vector<int> iguais;
				for(auto w: caras){
					vector<int> atual;
					atual.pb(v.s);
					for(auto t: tree){
						if(t == w) continue;
						atual.pb(t);
					}
					int X = count_common_roads(atual);
					if(X == A) iguais.pb(w); // w = v.s
					else if(X < A){
						ans[w] = 1;
						ans[v.s] = -1;
					}
					else{
						ans[w] = -1;
						ans[v.s] = 1;
					}
				}
				if(ans[v.s] == 0) ans[v.s]=-1;
				for(auto y: iguais) ans[y] = ans[v.s];
			}
			else{
				vector<int> atual;
				atual.pb(v.s);
				for(auto t :tree){
					if(t==good) continue;
					atual.pb(t);
				}
				// T - Xgood + Xv
				int X = count_common_roads(atual); // tira good e coloca v.s
				if(X == A) ans[v.s] = ans[good];
				else if(X > A) ans[v.s] = 1;
				else ans[v.s] = -1;
				for(auto w: caras){
					if(ans[w] != 0) continue;
					vector<int> atual;
					atual.pb(v.s);
					for(auto t: tree){
						if(t == w) continue;
						atual.pb(t);
					}
					int Y = count_common_roads(atual); // T - Xw + Xv
					if(Y == X) ans[w] = ans[good];
					else if(Y > X) ans[w] = -1;
					else ans[w] = 1;
				}
			}
		}
	}

	for(int i = 1; i <= n; i++){
		vector<int> ed, lixos;
		UF.init();
		for(auto j: grafo[i]){
			if(i == j.f) continue;
			ed.pb(id[i][j.f]);
			UF.join(i,j.f);
		}
		int aux = 0;
		for(auto e: tree){
			if(UF.join(u[e], v[e])){
				aux += max(0, ans[e]);
				ed.pb(e);
			}
		}
		grau[i] = count_common_roads(ed)-aux;
	}
	vector<int> block(n+1);
	while(true){
		int achou = 0;
		for(int i = 1; i <= n; i++){
			if(block[i] or grau[i] - filhos[i] != 1) continue;
			achou=1;
			vector<int> caras;
			block[i] = 1;
			for(auto v: grafo[i]){
				if(block[v.f]) continue;
				caras.pb(v.f);
			}
			int ini = 0, fim = sz(caras), mid, best=-1;
			while(fim >= ini){
				mid = (ini+fim)/2;
				UF.init();
				vector<pii> arestas;
				for(auto e: tree) arestas.pb({1, e});
				for(int j = 0; j < mid; j++){
					arestas.pb({0, id[i][caras[j]]});
				}
				sort(all(arestas));
				vector<int> curr;
				int aux=0;
				set<int> usados;
				for(int t = 0; t < sz(arestas); t++){
					int a = ed[arestas[t].s].f, b = ed[arestas[t].s].s;
					if(UF.join(a, b)){
						curr.pb(arestas[t].s);
						usados.insert(arestas[t].s);
					}
					else if(arestas[t].f == 1 ){
						aux += max(0,ans[arestas[t].s]);
					}
				}
				int C = count_common_roads(curr);
				if(C - (A-aux) >= 1){
					best = id[i][caras[mid-1]];
					fim = mid - 1;
				}
				else ini = mid + 1;
			}
			int pai = ed[best].f;
			if(pai==i)pai=ed[best].s;
			filhos[pai]++;
			ans[best] = 1;
		}

		if(!achou) break;
	}

	vector<int> resp;
	for(int i = 0; i < u.size(); i++) if(ans[i]==1)resp.pb(i);
	//cout<<"MY\n";
	//for(auto e: resp) cout<<"resp | "<<e<<" | "<<u[e]<<" "<<v[e]<<"\n";
	return resp;
}

Compilation message

simurgh.cpp: In function 'std::vector<int> find_roads(int, std::vector<int>, std::vector<int>)':
simurgh.cpp:211:19: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  211 |  for(int i = 0; i < u.size(); i++) if(ans[i]==1)resp.pb(i);
      |                 ~~^~~~~~~~~~

Subtask #1
13.0 / 13.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 332 KB correct
2 Correct 1 ms 332 KB correct
3 Correct 1 ms 340 KB correct
4 Correct 1 ms 332 KB correct
5 Correct 1 ms 332 KB correct
6 Correct 1 ms 332 KB correct
7 Correct 1 ms 332 KB correct
8 Correct 1 ms 332 KB correct
9 Correct 1 ms 332 KB correct
10 Correct 1 ms 332 KB correct
11 Correct 1 ms 332 KB correct
12 Correct 1 ms 332 KB correct
13 Correct 1 ms 332 KB correct

Subtask #2
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 332 KB correct
2 Correct 1 ms 332 KB correct
3 Correct 1 ms 340 KB correct
4 Correct 1 ms 332 KB correct
5 Correct 1 ms 332 KB correct
6 Correct 1 ms 332 KB correct
7 Correct 1 ms 332 KB correct
8 Correct 1 ms 332 KB correct
9 Correct 1 ms 332 KB correct
10 Correct 1 ms 332 KB correct
11 Correct 1 ms 332 KB correct
12 Correct 1 ms 332 KB correct
13 Correct 1 ms 332 KB correct
14 Correct 4 ms 476 KB correct
15 Correct 4 ms 460 KB correct
16 Correct 4 ms 472 KB correct
17 Correct 4 ms 476 KB correct
18 Correct 3 ms 472 KB correct
19 Correct 4 ms 460 KB correct
20 Correct 4 ms 460 KB correct
21 Correct 4 ms 460 KB correct
22 Correct 3 ms 460 KB correct
23 Correct 3 ms 460 KB correct
24 Correct 3 ms 460 KB correct
25 Correct 2 ms 464 KB correct
26 Correct 3 ms 460 KB correct
27 Correct 3 ms 460 KB correct
28 Correct 3 ms 460 KB correct
29 Correct 2 ms 460 KB correct
30 Correct 3 ms 468 KB correct
31 Correct 3 ms 464 KB correct
32 Correct 3 ms 464 KB correct
33 Correct 3 ms 464 KB correct

Subtask #3
21.0 / 21.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 332 KB correct
2 Correct 1 ms 332 KB correct
3 Correct 1 ms 340 KB correct
4 Correct 1 ms 332 KB correct
5 Correct 1 ms 332 KB correct
6 Correct 1 ms 332 KB correct
7 Correct 1 ms 332 KB correct
8 Correct 1 ms 332 KB correct
9 Correct 1 ms 332 KB correct
10 Correct 1 ms 332 KB correct
11 Correct 1 ms 332 KB correct
12 Correct 1 ms 332 KB correct
13 Correct 1 ms 332 KB correct
14 Correct 4 ms 476 KB correct
15 Correct 4 ms 460 KB correct
16 Correct 4 ms 472 KB correct
17 Correct 4 ms 476 KB correct
18 Correct 3 ms 472 KB correct
19 Correct 4 ms 460 KB correct
20 Correct 4 ms 460 KB correct
21 Correct 4 ms 460 KB correct
22 Correct 3 ms 460 KB correct
23 Correct 3 ms 460 KB correct
24 Correct 3 ms 460 KB correct
25 Correct 2 ms 464 KB correct
26 Correct 3 ms 460 KB correct
27 Correct 3 ms 460 KB correct
28 Correct 3 ms 460 KB correct
29 Correct 2 ms 460 KB correct
30 Correct 3 ms 468 KB correct
31 Correct 3 ms 464 KB correct
32 Correct 3 ms 464 KB correct
33 Correct 3 ms 464 KB correct
34 Correct 131 ms 2428 KB correct
35 Correct 128 ms 2396 KB correct
36 Correct 111 ms 2056 KB correct
37 Correct 43 ms 844 KB correct
38 Correct 126 ms 2372 KB correct
39 Correct 122 ms 2232 KB correct
40 Correct 114 ms 1996 KB correct
41 Correct 128 ms 2416 KB correct
42 Correct 134 ms 2372 KB correct
43 Correct 89 ms 1844 KB correct
44 Correct 82 ms 1500 KB correct
45 Correct 90 ms 1612 KB correct
46 Correct 78 ms 1356 KB correct
47 Correct 63 ms 1156 KB correct
48 Correct 28 ms 844 KB correct
49 Correct 39 ms 844 KB correct
50 Correct 63 ms 1164 KB correct
51 Correct 88 ms 1624 KB correct
52 Correct 86 ms 1540 KB correct
53 Correct 78 ms 1356 KB correct
54 Correct 89 ms 1844 KB correct
55 Correct 92 ms 1612 KB correct
56 Correct 90 ms 1632 KB correct
57 Correct 101 ms 1624 KB correct

Subtask #4
19.0 / 19.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 332 KB correct
2 Correct 1 ms 332 KB correct
3 Correct 419 ms 5556 KB correct
4 Correct 705 ms 7372 KB correct
5 Correct 707 ms 7300 KB correct
6 Correct 711 ms 7236 KB correct
7 Correct 715 ms 7236 KB correct
8 Correct 767 ms 7148 KB correct
9 Correct 712 ms 7276 KB correct
10 Correct 699 ms 7108 KB correct
11 Correct 704 ms 7268 KB correct
12 Correct 730 ms 7364 KB correct
13 Correct 1 ms 332 KB correct
14 Correct 712 ms 7224 KB correct
15 Correct 705 ms 7236 KB correct

Subtask #5
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 332 KB correct
2 Correct 1 ms 332 KB correct
3 Correct 1 ms 340 KB correct
4 Correct 1 ms 332 KB correct
5 Correct 1 ms 332 KB correct
6 Correct 1 ms 332 KB correct
7 Correct 1 ms 332 KB correct
8 Correct 1 ms 332 KB correct
9 Correct 1 ms 332 KB correct
10 Correct 1 ms 332 KB correct
11 Correct 1 ms 332 KB correct
12 Correct 1 ms 332 KB correct
13 Correct 1 ms 332 KB correct
14 Correct 4 ms 476 KB correct
15 Correct 4 ms 460 KB correct
16 Correct 4 ms 472 KB correct
17 Correct 4 ms 476 KB correct
18 Correct 3 ms 472 KB correct
19 Correct 4 ms 460 KB correct
20 Correct 4 ms 460 KB correct
21 Correct 4 ms 460 KB correct
22 Correct 3 ms 460 KB correct
23 Correct 3 ms 460 KB correct
24 Correct 3 ms 460 KB correct
25 Correct 2 ms 464 KB correct
26 Correct 3 ms 460 KB correct
27 Correct 3 ms 460 KB correct
28 Correct 3 ms 460 KB correct
29 Correct 2 ms 460 KB correct
30 Correct 3 ms 468 KB correct
31 Correct 3 ms 464 KB correct
32 Correct 3 ms 464 KB correct
33 Correct 3 ms 464 KB correct
34 Correct 131 ms 2428 KB correct
35 Correct 128 ms 2396 KB correct
36 Correct 111 ms 2056 KB correct
37 Correct 43 ms 844 KB correct
38 Correct 126 ms 2372 KB correct
39 Correct 122 ms 2232 KB correct
40 Correct 114 ms 1996 KB correct
41 Correct 128 ms 2416 KB correct
42 Correct 134 ms 2372 KB correct
43 Correct 89 ms 1844 KB correct
44 Correct 82 ms 1500 KB correct
45 Correct 90 ms 1612 KB correct
46 Correct 78 ms 1356 KB correct
47 Correct 63 ms 1156 KB correct
48 Correct 28 ms 844 KB correct
49 Correct 39 ms 844 KB correct
50 Correct 63 ms 1164 KB correct
51 Correct 88 ms 1624 KB correct
52 Correct 86 ms 1540 KB correct
53 Correct 78 ms 1356 KB correct
54 Correct 89 ms 1844 KB correct
55 Correct 92 ms 1612 KB correct
56 Correct 90 ms 1632 KB correct
57 Correct 101 ms 1624 KB correct
58 Correct 1 ms 332 KB correct
59 Correct 1 ms 332 KB correct
60 Correct 419 ms 5556 KB correct
61 Correct 705 ms 7372 KB correct
62 Correct 707 ms 7300 KB correct
63 Correct 711 ms 7236 KB correct
64 Correct 715 ms 7236 KB correct
65 Correct 767 ms 7148 KB correct
66 Correct 712 ms 7276 KB correct
67 Correct 699 ms 7108 KB correct
68 Correct 704 ms 7268 KB correct
69 Correct 730 ms 7364 KB correct
70 Correct 1 ms 332 KB correct
71 Correct 712 ms 7224 KB correct
72 Correct 705 ms 7236 KB correct
73 Correct 1 ms 332 KB correct
74 Correct 714 ms 8360 KB correct
75 Correct 730 ms 8024 KB correct
76 Correct 354 ms 3720 KB correct
77 Correct 711 ms 8088 KB correct
78 Correct 718 ms 8004 KB correct
79 Correct 702 ms 8132 KB correct
80 Correct 693 ms 7888 KB correct
81 Correct 672 ms 7312 KB correct
82 Correct 700 ms 7884 KB correct
83 Correct 547 ms 5100 KB correct
84 Correct 506 ms 5640 KB correct
85 Correct 476 ms 5360 KB correct
86 Correct 432 ms 4080 KB correct
87 Correct 375 ms 3484 KB correct
88 Correct 372 ms 2956 KB correct
89 Correct 332 ms 2756 KB correct
90 Correct 325 ms 2748 KB correct
91 Correct 165 ms 1484 KB correct
92 Correct 122 ms 1476 KB correct
93 Correct 482 ms 5380 KB correct
94 Correct 421 ms 4004 KB correct
95 Correct 409 ms 3936 KB correct
96 Correct 369 ms 2712 KB correct
97 Correct 378 ms 2828 KB correct
98 Correct 390 ms 3404 KB correct
99 Correct 361 ms 2844 KB correct
100 Correct 221 ms 1740 KB correct
101 Correct 119 ms 1500 KB correct
102 Correct 504 ms 4692 KB correct
103 Correct 494 ms 4596 KB correct
104 Correct 497 ms 4576 KB correct
105 Correct 497 ms 4552 KB correct