Submission #551751

# Submission time Handle Problem Language Result Execution time Memory
551751 2022-04-21T12:18:49 Z QwertyPi Cats or Dogs (JOI18_catdog) C++14
38 / 100
3000 ms 28980 KB
#include "catdog.h"
#include <bits/stdc++.h>
#define se second
#define fi first
#define pb push_back
#define mp make_pair
using namespace std;
typedef pair<int, int> pii;
const int N = 1e5 + 3;
const int inf = 1 << 30;
int n, A[N], p[N], des[N], d[N], psg[N];
int v[N][2], dp[N][2];
vector<int> G[N], H[N];

int dif(pii a, pii b){
	if(a.se == 0 || b.se == 0) return 0;
	return a.se != b.se;
}

struct CD{
	set<pair<int, int>> s; int ans = 0, top = 0, bot = 0, tp = inf, bp = inf;
	void insert(int v, int cd){
		auto ptr = s.lower_bound({v, cd});
		pii m1 = ptr != s.begin() ? *prev(ptr) : mp(0, 0);
		pii p1 = ptr != s.end() ? *ptr : mp(0, 0);
		ans += dif({v, cd}, m1) + dif({v, cd}, p1) - dif(m1, p1);
		s.insert({v, cd});
		top = s.empty() ? 0 : (s.begin())->se;
		tp = s.empty() ? inf : (s.begin())->fi;
		bot = s.empty() ? 0 : (--s.end())->se;
		bp = s.empty() ? inf : (--s.end())->fi;
	}
	
	void erase(int v){
		auto ptr = s.lower_bound({v, -1});
		pii m1 = ptr != s.begin() ? *prev(ptr) : mp(0, 0);
		pii p1 = ptr != s.end() && next(ptr) != s.end() ? *next(ptr) : mp(0, 0);
		ans += dif(m1, p1) - dif(*ptr, m1) - dif(*ptr, p1);
		s.erase(ptr);
		top = s.empty() ? 0 : (s.begin())->se;
		tp = s.empty() ? inf : (s.begin())->fi;
		bot = s.empty() ? 0 : (--s.end())->se;
		bp = s.empty() ? inf : (--s.end())->fi;
	}
} V[N];

void dfs(int v, int par){
	des[v] = v;
	for(auto i : G[v]){
		if(i != par){
			p[i] = v;
			d[i] = d[v] + 1;
			dfs(i, v);
			des[v] = (G[v].size() - (v != 1) == 1) ? des[i] : v;
		}
	}
}

void initialize(int n, vector<int> A, vector<int> B) {
	::n = n;
	for(int i = 0; i < n - 1; i++){
		G[A[i]].pb(B[i]);
		G[B[i]].pb(A[i]);
	}
	dfs(1, -1);
//	for(int i = 1; i <= n; i++) des[i] = i;
	map<int, vector<int>> PC;
	for(int i = 1; i <= n; i++){
		PC[des[i]].push_back(i);
	}
//	for(int i = 1; i <= n; i++){
//		cout << des[i] << ' ';
//	}
//	cout << endl;
	for(auto& i : PC){
		sort(i.se.begin(), i.se.end(), [](int a, int b){
			return d[a] < d[b];
		});
	}
	
	vector<int> sg;
	for(auto i : PC){
		sg.pb(i.se[0]);
	}
	for(auto i : sg){
		H[p[i]].pb(des[i]);
		psg[des[i]] = p[i];
	}
}

void lift(int v){
	while(true){
		dp[v][0] = dp[v][1] = 0;
		for(auto i : H[v]){
			dp[v][0] += min(dp[i][0], dp[i][1] + 1);
			dp[v][1] += min(dp[i][1], dp[i][0] + 1);
		}
		// cout << "***" << endl << v << ' ' << dp[v][0] << ' ' << dp[v][1] << endl;
		if(!V[v].s.empty()){
			int res = inf;
			if(V[v].bp == d[v]){
				if(V[v].bot == 1) res = dp[v][0];
				else if(V[v].bot == 2) res = dp[v][1];
			}else{
				if(V[v].bot == 1) res = min(dp[v][0], dp[v][1] + 1);
				else if(V[v].bot == 2) res = min(dp[v][0] + 1, dp[v][1]);
			}
			res += V[v].ans;
			// cout << v << ' ' << dp[v][0] << ' ' << dp[v][1] << endl;
			if(V[v].top == 1){
				dp[v][1] = res + 1;
				dp[v][0] = res;
			}else if(V[v].top == 2){
				dp[v][0] = res + 1;
				dp[v][1] = res;
			}else{
				dp[v][0] = dp[v][1] = res;
			}
		}
		if(v == 0) return;
		// cout << v << ' ' << dp[v][0] << ' ' << dp[v][1] << endl;
		v = psg[v];
	}
}

int sol(){
	return min(dp[0][0], dp[0][1]);
}

void out(char c){
//	cout << c << "<<<" << endl;
//	for(int i = 0; i <= n; i++){
//		cout << dp[i][0] << ' ' << dp[i][1] << endl;
//	}
}

int cat(int v) {
	A[v] = 1;
	V[des[v]].insert(d[v], 1);
	lift(des[v]);
	out('c');
	return sol();
}

int dog(int v) {
	A[v] = 2;
	V[des[v]].insert(d[v], 2);
	lift(des[v]);
	out('d');
	return sol();
}

int neighbor(int v) {
	A[v] = 0;
	V[des[v]].erase(d[v]);
	lift(des[v]);
	out('n');
	return sol();
}
# Verdict Execution time Memory Grader output
1 Correct 6 ms 11988 KB Output is correct
2 Correct 9 ms 11984 KB Output is correct
3 Correct 8 ms 11988 KB Output is correct
4 Correct 6 ms 12048 KB Output is correct
5 Correct 7 ms 12048 KB Output is correct
6 Correct 6 ms 11988 KB Output is correct
7 Correct 7 ms 11988 KB Output is correct
8 Correct 7 ms 11988 KB Output is correct
9 Correct 6 ms 12048 KB Output is correct
10 Correct 7 ms 12056 KB Output is correct
11 Correct 6 ms 11988 KB Output is correct
12 Correct 7 ms 11988 KB Output is correct
13 Correct 6 ms 11988 KB Output is correct
14 Correct 7 ms 11988 KB Output is correct
15 Correct 6 ms 11988 KB Output is correct
16 Correct 6 ms 11988 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 6 ms 11988 KB Output is correct
2 Correct 9 ms 11984 KB Output is correct
3 Correct 8 ms 11988 KB Output is correct
4 Correct 6 ms 12048 KB Output is correct
5 Correct 7 ms 12048 KB Output is correct
6 Correct 6 ms 11988 KB Output is correct
7 Correct 7 ms 11988 KB Output is correct
8 Correct 7 ms 11988 KB Output is correct
9 Correct 6 ms 12048 KB Output is correct
10 Correct 7 ms 12056 KB Output is correct
11 Correct 6 ms 11988 KB Output is correct
12 Correct 7 ms 11988 KB Output is correct
13 Correct 6 ms 11988 KB Output is correct
14 Correct 7 ms 11988 KB Output is correct
15 Correct 6 ms 11988 KB Output is correct
16 Correct 6 ms 11988 KB Output is correct
17 Correct 8 ms 12208 KB Output is correct
18 Correct 8 ms 12244 KB Output is correct
19 Correct 8 ms 12188 KB Output is correct
20 Correct 6 ms 12072 KB Output is correct
21 Correct 7 ms 12056 KB Output is correct
22 Correct 7 ms 12116 KB Output is correct
23 Correct 8 ms 12116 KB Output is correct
24 Correct 8 ms 12168 KB Output is correct
25 Correct 7 ms 12116 KB Output is correct
26 Correct 7 ms 12116 KB Output is correct
27 Correct 6 ms 12116 KB Output is correct
28 Correct 8 ms 12188 KB Output is correct
29 Correct 8 ms 12116 KB Output is correct
30 Correct 8 ms 12056 KB Output is correct
31 Correct 8 ms 12116 KB Output is correct
32 Correct 8 ms 12052 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 6 ms 11988 KB Output is correct
2 Correct 9 ms 11984 KB Output is correct
3 Correct 8 ms 11988 KB Output is correct
4 Correct 6 ms 12048 KB Output is correct
5 Correct 7 ms 12048 KB Output is correct
6 Correct 6 ms 11988 KB Output is correct
7 Correct 7 ms 11988 KB Output is correct
8 Correct 7 ms 11988 KB Output is correct
9 Correct 6 ms 12048 KB Output is correct
10 Correct 7 ms 12056 KB Output is correct
11 Correct 6 ms 11988 KB Output is correct
12 Correct 7 ms 11988 KB Output is correct
13 Correct 6 ms 11988 KB Output is correct
14 Correct 7 ms 11988 KB Output is correct
15 Correct 6 ms 11988 KB Output is correct
16 Correct 6 ms 11988 KB Output is correct
17 Correct 8 ms 12208 KB Output is correct
18 Correct 8 ms 12244 KB Output is correct
19 Correct 8 ms 12188 KB Output is correct
20 Correct 6 ms 12072 KB Output is correct
21 Correct 7 ms 12056 KB Output is correct
22 Correct 7 ms 12116 KB Output is correct
23 Correct 8 ms 12116 KB Output is correct
24 Correct 8 ms 12168 KB Output is correct
25 Correct 7 ms 12116 KB Output is correct
26 Correct 7 ms 12116 KB Output is correct
27 Correct 6 ms 12116 KB Output is correct
28 Correct 8 ms 12188 KB Output is correct
29 Correct 8 ms 12116 KB Output is correct
30 Correct 8 ms 12056 KB Output is correct
31 Correct 8 ms 12116 KB Output is correct
32 Correct 8 ms 12052 KB Output is correct
33 Correct 212 ms 20728 KB Output is correct
34 Correct 109 ms 22152 KB Output is correct
35 Correct 271 ms 18316 KB Output is correct
36 Correct 391 ms 27200 KB Output is correct
37 Correct 31 ms 17044 KB Output is correct
38 Correct 388 ms 28824 KB Output is correct
39 Correct 401 ms 28824 KB Output is correct
40 Correct 491 ms 28828 KB Output is correct
41 Correct 456 ms 28820 KB Output is correct
42 Correct 566 ms 28844 KB Output is correct
43 Correct 446 ms 28808 KB Output is correct
44 Correct 549 ms 28868 KB Output is correct
45 Correct 674 ms 28980 KB Output is correct
46 Correct 481 ms 28864 KB Output is correct
47 Correct 405 ms 28872 KB Output is correct
48 Execution timed out 3051 ms 26344 KB Time limit exceeded
49 Halted 0 ms 0 KB -