Submission #281584

# Submission time Handle Problem Language Result Execution time Memory
281584 2020-08-23T08:47:10 Z Atalasion Min-max tree (BOI18_minmaxtree) C++14
29 / 100
386 ms 76904 KB
#include <bits/stdc++.h>

#define F first
#define S second
#define pb push_back
#define all(x) x.begin(), x.end()
#pragma GCC optimize("Ofast,no-stack-protector,unroll-loops,fast-math")

using namespace std;

typedef long long ll;
typedef pair<int, int> pii;
typedef vector<int> vi;

const int N = 200000 + 10;
const int MOD = 1000000007;
const int LOG = 20;
const int INF = 1000000010;
const int delta = 11353;

int n, m, mn[N], mx[N], par[N][LOG], sz[N], h[N], ans[N], mark[N], W[N], M[N], H[N], PAR[N], PARE[N], M2[N];
vector<pii> G[N], g[N];
vector<int> Tah[2][N], Sar[2][N];
multiset<int> st[2][N];
vector<pii> EE;
map<int, int> mp;
vector<pii> yal;
bool ff = 0;

void DFS(int v = 1, int p = 0){
	par[v][0] = p;
	for (int i = 1; i < LOG; i++) par[v][i] = par[par[v][i - 1]][i - 1];
	for (auto u:G[v]){
		if (u.F == p) continue;
		h[u.F] = h[v] + 1;
		DFS(u.F,v);
	}
}

void dfssz(int v = 1, int p = 0){
	for (auto u:G[v]){
		if(u.F == p) continue;
		dfssz(u.F, v);
		sz[v] += sz[u.F];
	}
}

int LCA(int v, int u){
	if (h[v] < h[u]) swap(v, u);
	int res = h[v] - h[u];
	for (int i = 0; i < LOG; i++) if (res & (1 << i)) v = par[v][i];
	if (v == u) return v;
	for (int i = LOG - 1;  i >= 0; i--){
		if (par[v][i] != par[u][i]) v = par[v][i], u = par[u][i];
	}
	return par[v][0];
}

void dfs(int v = 1, int p = 0, int w = 0){
	if (G[v].size() == 1 && v != 1){
		for (int j = 0; j < 2; j++){
			for (auto u:Tah[j][v]) st[j][v].insert(u);
			for (auto u:Sar[j][v]) st[j][v].erase(st[j][v].find(u));
		}
		if (st[0][v].size()){
			mx[w] = *st[0][v].begin();
		}
		if (st[1][v].size()){
			mn[w] = *st[1][v].rbegin();
		}
		return;
	}
	int MX = 0;
	for (auto u:G[v]){
		if(u.F == p) continue;
		dfs(u.F, v, u.S);
		if (sz[MX] < sz[u.F]) MX = u.F;
	}
	for (int j = 0; j < 2; j++){
		st[j][v].swap(st[j][MX]);
		for (auto u:Tah[j][v]) st[j][v].insert(u);
	}
	for (auto u:G[v]){
		if(u.F == p || u.F == MX) continue;
		for (int j = 0; j < 2; j++){
			for (auto x:st[j][u.F]){
				st[j][v].insert(x);
			}
			st[j][u.F].clear();
		}
	}
	for (auto u:Sar[0][v]){
		st[0][v].erase(st[0][v].find(u));
	}
	for (auto u:Sar[1][v]){
		st[1][v].erase(st[1][v].find(u));
	}
	if (st[0][v].size()){
		mx[w] = *st[0][v].begin();
		if (v == 1) assert(0);
	}
	if(st[1][v].size()){
		mn[w] = *st[1][v].rbegin();
		if (v == 1) assert(0);
	}
}

inline int Query(int w){
	return mp[w];
}

void DFS2(int v){
	M[v] = 1;
	mark[v] = 1;
	for (auto u:g[v]){
		if (!M[u.F]){
			DFS2(u.F);
			//cout << "YES " << u.F << ' ' << u.S <<  ' ' << W[u.F] << '\n';
			ans[u.S] = W[u.F];
		}
	}
}

void DFS3(int v){
	M2[v] = 1;
	//cout << v << ' ' << PARE[v] << '\n';
	for(auto u:g[v]){
		if (!M2[u.F]){
			H[u.F] = H[v] + 1;
			PAR[u.F] = v, PARE[u.F] = u.S;
			DFS3(u.F);
		}else if(H[u.F] < H[v] && ff == 0 && u.S != PARE[v]){
			//cout << "YES" << endl;
			ff = 1;
			//cout << u.S << '\n';
			ans[u.S] = W[v];
			while (v != u.F){
				mark[v] = 1;
			//	cout << "YES\n";
				ans[PARE[v]] = W[PAR[v]];
				v = PAR[v];
			}
		}
	}
}

void DFS4(int v){
	M[v] = 1;
	for (auto u:g[v]){
		if (!M[u.F]){
			ans[u.S] = W[u.F];
			DFS4(u.F);
		}
	}
}

int32_t main(){
	ios::sync_with_stdio(0); cin.tie(0); cout.tie(0);
	cin >> n;
	sz[0] = -INF;
	fill(mn, mn + N, -INF), fill(mx, mx + N, -INF);
	for (int i = 1; i <= n - 1; i++){
		int v, u;
		cin >> v >> u;
		yal.pb({v, u});
		G[v].pb({u, i}), G[u].pb({v, i});
	}
	cin >> m;
	DFS();
	for (int i = 1; i <= m; i++){
		char c;
		int v, u, w;
		cin >> c >> v >> u >> w;
		int lca = LCA(v, u);
		int C = (c == 'm');
		Tah[C][v].pb(w), Tah[C][u].pb(w), Sar[C][lca].pb(w), Sar[C][lca].pb(w);
		sz[v]++, sz[u]++, sz[lca]-=2;
		EE.pb({w, i});
		W[i] = w;
		mp[w] = i;
	}
	dfssz();
	dfs();
//	for (int i = 0; i < n - 1; i++) cout << mn[i] << ' ' << mx[i] << '\n';
	for (int i = 1; i <= n - 1; i++){
		if (mx[i] == -INF || mn[i] == -INF){
			//cout << "YES" << ' ' << mx[i] << ' ' << mn[i] << endl;
			if (mx[i] == -INF && mn[i] != -INF){
				mark[Query(mn[i])] = 1, ans[i] = mn[i];
			//	cout << "YES\n" << Query(mn[i]) << endl;
			}
			if (mx[i] != -INF && mn[i] == -INF) mark[Query(mx[i])] = 1, ans[i] = mx[i];
		}else{
			g[Query(mx[i])].pb({Query(mn[i]), i});
			g[Query(mn[i])].pb({Query(mx[i]), i});
			//cout << Query(mn[i]) << ' ' << Query(mx[i]) << '\n';
		}
	}
	for (int i = 1; i <= m; i++){
		if (mark[i] == 1 && M[i] == 0){
			DFS2(i);
		//	cout << "YES " << i << endl;
		}
	}
	//cout << "YES" << endl;
	for (int i = 1; i <= m; i++){
		if (!M[i] && !M2[i]){
			ff = 0;
		//	cout << "YES2" << endl;
			DFS3(i);
		}
	}
	//cout << "YES" << endl;
	for (int i = 1; i <= m; i++){
		if (mark[i] && !M[i]) DFS4(i);
	}
	for (int i = 0; i < n - 1; i++){
		cout << yal[i].F << ' ' << yal[i].S << ' ' << ans[i + 1] << '\n';
	}
	return 0;
}
# Verdict Execution time Memory Grader output
1 Correct 31 ms 48896 KB Output is correct
2 Correct 30 ms 48896 KB Output is correct
3 Correct 31 ms 48896 KB Output is correct
4 Correct 31 ms 48896 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 386 ms 74600 KB Output is correct
2 Correct 355 ms 68456 KB Output is correct
3 Correct 342 ms 74984 KB Output is correct
4 Correct 373 ms 76904 KB Output is correct
5 Correct 346 ms 72040 KB Output is correct
6 Correct 328 ms 69296 KB Output is correct
7 Correct 315 ms 68200 KB Output is correct
# Verdict Execution time Memory Grader output
1 Incorrect 193 ms 63724 KB Output isn't correct
2 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 31 ms 48896 KB Output is correct
2 Correct 30 ms 48896 KB Output is correct
3 Correct 31 ms 48896 KB Output is correct
4 Correct 31 ms 48896 KB Output is correct
5 Correct 386 ms 74600 KB Output is correct
6 Correct 355 ms 68456 KB Output is correct
7 Correct 342 ms 74984 KB Output is correct
8 Correct 373 ms 76904 KB Output is correct
9 Correct 346 ms 72040 KB Output is correct
10 Correct 328 ms 69296 KB Output is correct
11 Correct 315 ms 68200 KB Output is correct
12 Incorrect 193 ms 63724 KB Output isn't correct
13 Halted 0 ms 0 KB -