Submission #551715

# Submission time Handle Problem Language Result Execution time Memory
551715 2022-04-21T11:18:06 Z QwertyPi Cats or Dogs (JOI18_catdog) C++14
38 / 100
3000 ms 33964 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] = V[v].ans;
		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);
		}
		if(V[v].bp == d[v]){
			if(V[v].bot == 1) dp[v][1] = inf;
			else if(V[v].bot == 2) dp[v][0] = inf;
		}else{
			if(V[v].bot == 1) dp[v][1]++;
			else if(V[v].bot == 2) dp[v][0]++;
		}
		if(V[v].top + V[v].bot == 3) swap(dp[v][0], dp[v][1]);
		if(V[v].tp == d[psg[v]] + 1){
			if(V[v].top == 1) dp[v][1] = inf;
			else if(V[v].top == 2) dp[v][0] = inf;
		}else{
			if(V[v].top == 1) dp[v][1]++;
			else if(V[v].top == 2) dp[v][0]++;
		}
		if(v == 0) return;
		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 7 ms 11988 KB Output is correct
2 Correct 6 ms 11988 KB Output is correct
3 Correct 7 ms 12044 KB Output is correct
4 Correct 7 ms 11988 KB Output is correct
5 Correct 6 ms 11988 KB Output is correct
6 Correct 7 ms 12048 KB Output is correct
7 Correct 6 ms 11988 KB Output is correct
8 Correct 6 ms 12052 KB Output is correct
9 Correct 7 ms 12052 KB Output is correct
10 Correct 7 ms 11980 KB Output is correct
11 Correct 7 ms 12052 KB Output is correct
12 Correct 8 ms 11988 KB Output is correct
13 Correct 8 ms 12048 KB Output is correct
14 Correct 6 ms 12052 KB Output is correct
15 Correct 9 ms 12044 KB Output is correct
16 Correct 6 ms 12048 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 7 ms 11988 KB Output is correct
2 Correct 6 ms 11988 KB Output is correct
3 Correct 7 ms 12044 KB Output is correct
4 Correct 7 ms 11988 KB Output is correct
5 Correct 6 ms 11988 KB Output is correct
6 Correct 7 ms 12048 KB Output is correct
7 Correct 6 ms 11988 KB Output is correct
8 Correct 6 ms 12052 KB Output is correct
9 Correct 7 ms 12052 KB Output is correct
10 Correct 7 ms 11980 KB Output is correct
11 Correct 7 ms 12052 KB Output is correct
12 Correct 8 ms 11988 KB Output is correct
13 Correct 8 ms 12048 KB Output is correct
14 Correct 6 ms 12052 KB Output is correct
15 Correct 9 ms 12044 KB Output is correct
16 Correct 6 ms 12048 KB Output is correct
17 Correct 7 ms 12244 KB Output is correct
18 Correct 8 ms 12292 KB Output is correct
19 Correct 7 ms 12244 KB Output is correct
20 Correct 7 ms 12056 KB Output is correct
21 Correct 9 ms 12096 KB Output is correct
22 Correct 10 ms 12052 KB Output is correct
23 Correct 10 ms 12140 KB Output is correct
24 Correct 8 ms 12244 KB Output is correct
25 Correct 7 ms 12116 KB Output is correct
26 Correct 8 ms 12060 KB Output is correct
27 Correct 8 ms 12052 KB Output is correct
28 Correct 9 ms 12180 KB Output is correct
29 Correct 11 ms 12244 KB Output is correct
30 Correct 7 ms 12116 KB Output is correct
31 Correct 7 ms 12180 KB Output is correct
32 Correct 7 ms 12116 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 7 ms 11988 KB Output is correct
2 Correct 6 ms 11988 KB Output is correct
3 Correct 7 ms 12044 KB Output is correct
4 Correct 7 ms 11988 KB Output is correct
5 Correct 6 ms 11988 KB Output is correct
6 Correct 7 ms 12048 KB Output is correct
7 Correct 6 ms 11988 KB Output is correct
8 Correct 6 ms 12052 KB Output is correct
9 Correct 7 ms 12052 KB Output is correct
10 Correct 7 ms 11980 KB Output is correct
11 Correct 7 ms 12052 KB Output is correct
12 Correct 8 ms 11988 KB Output is correct
13 Correct 8 ms 12048 KB Output is correct
14 Correct 6 ms 12052 KB Output is correct
15 Correct 9 ms 12044 KB Output is correct
16 Correct 6 ms 12048 KB Output is correct
17 Correct 7 ms 12244 KB Output is correct
18 Correct 8 ms 12292 KB Output is correct
19 Correct 7 ms 12244 KB Output is correct
20 Correct 7 ms 12056 KB Output is correct
21 Correct 9 ms 12096 KB Output is correct
22 Correct 10 ms 12052 KB Output is correct
23 Correct 10 ms 12140 KB Output is correct
24 Correct 8 ms 12244 KB Output is correct
25 Correct 7 ms 12116 KB Output is correct
26 Correct 8 ms 12060 KB Output is correct
27 Correct 8 ms 12052 KB Output is correct
28 Correct 9 ms 12180 KB Output is correct
29 Correct 11 ms 12244 KB Output is correct
30 Correct 7 ms 12116 KB Output is correct
31 Correct 7 ms 12180 KB Output is correct
32 Correct 7 ms 12116 KB Output is correct
33 Correct 280 ms 23560 KB Output is correct
34 Correct 150 ms 25364 KB Output is correct
35 Correct 314 ms 20204 KB Output is correct
36 Correct 538 ms 31772 KB Output is correct
37 Correct 30 ms 18656 KB Output is correct
38 Correct 568 ms 33928 KB Output is correct
39 Correct 526 ms 33964 KB Output is correct
40 Correct 644 ms 33908 KB Output is correct
41 Correct 608 ms 33912 KB Output is correct
42 Correct 747 ms 33928 KB Output is correct
43 Correct 625 ms 33880 KB Output is correct
44 Correct 675 ms 33936 KB Output is correct
45 Correct 851 ms 33936 KB Output is correct
46 Correct 600 ms 33944 KB Output is correct
47 Correct 634 ms 33924 KB Output is correct
48 Execution timed out 3054 ms 27060 KB Time limit exceeded
49 Halted 0 ms 0 KB -