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답안 #525734

# 제출 시각 아이디 문제 언어 결과 실행 시간 메모리
525734 2022-02-12T16:48:59 Z koioi.org-koosaga Mountains and Valleys (CCO20_day1problem3) C++17
11 / 25
 7000 ms 13256 KB 
#include <bits/stdc++.h>
#define sz(v) ((int)(v).size())
#define all(v) (v).begin(), (v).end()
using namespace std;
typedef long long lint;
typedef pair<lint, lint> pi;
const int MAXN = 500005;

struct edge{
	int s, e, x;
};

int n, m;
vector<int> gph[MAXN];
int par[20][MAXN], dep[MAXN];

int lca(int x, int y){
	if(dep[x] > dep[y]) swap(x, y);
	int dx = dep[y] - dep[x];
	for(int i = 0; dx; i++){
		if(dx & 1) y = par[i][y];
		dx >>= 1;
	}
	for(int i = 19; i >= 0; i--){
		if(par[i][x] != par[i][y]){
			x = par[i][x];
			y = par[i][y];
		}
	}
	if(x != y) return par[0][x];
	return x;
}

void dfs(int x, int p = -1){
	for(auto &y : gph[x]){
		if(y == p) continue;
		par[0][y] = x;
		dep[y] = dep[x] + 1;
		dfs(y, x);
	}
}

bool vis[MAXN];

pi dfsl(int x, int p = -1){
	pi ret(0, x);
	for(auto &y : gph[x]){
		if(y == p || vis[y]) continue;
		auto ans = dfsl(y, x);
		ans.first++;
		ret = max(ret, ans);
	}
	return ret;
}

int main(){
	ios_base::sync_with_stdio(0);
	cin.tie(0);
	cout.tie(0);
	cin >> n >> m;
	vector<edge> qry;
	for(int i = 0; i < m; i++){
		int s, e, x; cin >> s >> e >> x;
		if(x == 1){
			gph[s].push_back(e);
			gph[e].push_back(s);
		}
		else{
			qry.push_back({s, e, x});
		}
	}
	dfs(0);
	for(int i = 1; i < 20; i++){
		for(int j = 0; j < n; j++){
			par[i][j] = par[i-1][par[i-1][j]];
		}
	}
	int diam = dfsl(dfsl(0).second).first;
	int ans = 2 * n - 2 - diam;
	for(auto &x : qry){
		int l = lca(x.s, x.e);
		vector<int> v, w;
		for(int i = x.s; i != l; i = par[0][i]) v.push_back(i);
		for(int i = x.e; i != l; i = par[0][i]) w.push_back(i);
		reverse(all(w));
		v.push_back(l);
		for(auto &i : w) v.push_back(i);
		for(auto &i : v) vis[i] = 1;
		vector<int> val;
		vector<int> ndiam;
		int maxPath = -1e9;
		for(auto &i : v){
			vis[i] = 0;
			val.push_back(dfsl(i).first);
			int ndiam = dfsl(dfsl(i).second).first;
			maxPath = max(maxPath, ndiam - 3 + sz(v));
			vis[i] = 1;
		}
		for(auto &i : v) vis[i] = 0;
		for(int i = 0; i < sz(val); i++){
			for(int j = i + 1; j < sz(val); j++){
				maxPath = max(maxPath, sz(val) - 1 - j + i + val[i] + val[j]);
			}
		}
		ans = min(ans, 2 * n - 4 + x.x - maxPath);
	}
	cout << ans << endl;
}

Subtask #1
1.0 / 1.0

# 결과 실행 시간 메모리 Grader output
1 Correct 7 ms 12108 KB Output is correct
2 Correct 7 ms 12196 KB Output is correct
3 Correct 7 ms 12108 KB Output is correct
4 Correct 6 ms 12108 KB Output is correct
5 Correct 7 ms 12108 KB Output is correct
6 Correct 6 ms 12108 KB Output is correct
7 Correct 6 ms 12108 KB Output is correct
8 Correct 7 ms 12196 KB Output is correct
9 Correct 6 ms 12108 KB Output is correct
10 Correct 7 ms 12184 KB Output is correct
11 Correct 7 ms 12108 KB Output is correct
12 Correct 8 ms 12192 KB Output is correct
13 Correct 7 ms 12108 KB Output is correct
14 Correct 7 ms 12108 KB Output is correct
15 Correct 8 ms 12236 KB Output is correct

Subtask #2
2.0 / 2.0

# 결과 실행 시간 메모리 Grader output
1 Correct 7 ms 12108 KB Output is correct
2 Correct 7 ms 12196 KB Output is correct
3 Correct 7 ms 12108 KB Output is correct
4 Correct 6 ms 12108 KB Output is correct
5 Correct 7 ms 12108 KB Output is correct
6 Correct 6 ms 12108 KB Output is correct
7 Correct 6 ms 12108 KB Output is correct
8 Correct 7 ms 12196 KB Output is correct
9 Correct 6 ms 12108 KB Output is correct
10 Correct 7 ms 12184 KB Output is correct
11 Correct 7 ms 12108 KB Output is correct
12 Correct 8 ms 12192 KB Output is correct
13 Correct 7 ms 12108 KB Output is correct
14 Correct 7 ms 12108 KB Output is correct
15 Correct 8 ms 12236 KB Output is correct
16 Correct 7 ms 12108 KB Output is correct
17 Correct 7 ms 12108 KB Output is correct
18 Correct 6 ms 12108 KB Output is correct
19 Correct 6 ms 12108 KB Output is correct
20 Correct 6 ms 12108 KB Output is correct
21 Correct 7 ms 12152 KB Output is correct
22 Correct 7 ms 12108 KB Output is correct
23 Correct 8 ms 12108 KB Output is correct
24 Correct 6 ms 12108 KB Output is correct
25 Correct 6 ms 12108 KB Output is correct
26 Correct 7 ms 12192 KB Output is correct
27 Correct 6 ms 12108 KB Output is correct
28 Correct 7 ms 12200 KB Output is correct
29 Correct 7 ms 12108 KB Output is correct
30 Correct 6 ms 12108 KB Output is correct
31 Correct 7 ms 12108 KB Output is correct
32 Correct 7 ms 12108 KB Output is correct
33 Correct 6 ms 12108 KB Output is correct
34 Correct 7 ms 12108 KB Output is correct
35 Correct 6 ms 12108 KB Output is correct

Subtask #3
0.0 / 2.0

# 결과 실행 시간 메모리 Grader output
1 Execution timed out 7084 ms 13256 KB Time limit exceeded
2 Halted 0 ms 0 KB -

Subtask #4
6.0 / 6.0

# 결과 실행 시간 메모리 Grader output
1 Correct 7 ms 12108 KB Output is correct
2 Correct 7 ms 12196 KB Output is correct
3 Correct 7 ms 12108 KB Output is correct
4 Correct 6 ms 12108 KB Output is correct
5 Correct 7 ms 12108 KB Output is correct
6 Correct 6 ms 12108 KB Output is correct
7 Correct 6 ms 12108 KB Output is correct
8 Correct 7 ms 12196 KB Output is correct
9 Correct 6 ms 12108 KB Output is correct
10 Correct 7 ms 12184 KB Output is correct
11 Correct 7 ms 12108 KB Output is correct
12 Correct 8 ms 12192 KB Output is correct
13 Correct 7 ms 12108 KB Output is correct
14 Correct 7 ms 12108 KB Output is correct
15 Correct 8 ms 12236 KB Output is correct
16 Correct 7 ms 12108 KB Output is correct
17 Correct 7 ms 12108 KB Output is correct
18 Correct 6 ms 12108 KB Output is correct
19 Correct 6 ms 12108 KB Output is correct
20 Correct 6 ms 12108 KB Output is correct
21 Correct 7 ms 12152 KB Output is correct
22 Correct 7 ms 12108 KB Output is correct
23 Correct 8 ms 12108 KB Output is correct
24 Correct 6 ms 12108 KB Output is correct
25 Correct 6 ms 12108 KB Output is correct
26 Correct 7 ms 12192 KB Output is correct
27 Correct 6 ms 12108 KB Output is correct
28 Correct 7 ms 12200 KB Output is correct
29 Correct 7 ms 12108 KB Output is correct
30 Correct 6 ms 12108 KB Output is correct
31 Correct 7 ms 12108 KB Output is correct
32 Correct 7 ms 12108 KB Output is correct
33 Correct 6 ms 12108 KB Output is correct
34 Correct 7 ms 12108 KB Output is correct
35 Correct 6 ms 12108 KB Output is correct
36 Correct 7 ms 12108 KB Output is correct
37 Correct 7 ms 12108 KB Output is correct
38 Correct 7 ms 12124 KB Output is correct
39 Correct 7 ms 12156 KB Output is correct
40 Correct 7 ms 12108 KB Output is correct
41 Correct 7 ms 12152 KB Output is correct
42 Correct 8 ms 12108 KB Output is correct
43 Correct 7 ms 12140 KB Output is correct
44 Correct 8 ms 12168 KB Output is correct
45 Correct 7 ms 12180 KB Output is correct
46 Correct 7 ms 12108 KB Output is correct
47 Correct 8 ms 12184 KB Output is correct
48 Correct 7 ms 12108 KB Output is correct
49 Correct 7 ms 12108 KB Output is correct

Subtask #5
2.0 / 2.0

# 결과 실행 시간 메모리 Grader output
1 Correct 7 ms 12108 KB Output is correct
2 Correct 7 ms 12196 KB Output is correct
3 Correct 7 ms 12108 KB Output is correct
4 Correct 6 ms 12108 KB Output is correct
5 Correct 7 ms 12108 KB Output is correct
6 Correct 6 ms 12108 KB Output is correct
7 Correct 6 ms 12108 KB Output is correct
8 Correct 7 ms 12196 KB Output is correct
9 Correct 6 ms 12108 KB Output is correct
10 Correct 7 ms 12184 KB Output is correct
11 Correct 7 ms 12108 KB Output is correct
12 Correct 8 ms 12192 KB Output is correct
13 Correct 7 ms 12108 KB Output is correct
14 Correct 7 ms 12108 KB Output is correct
15 Correct 8 ms 12236 KB Output is correct
16 Correct 7 ms 12108 KB Output is correct
17 Correct 7 ms 12108 KB Output is correct
18 Correct 6 ms 12108 KB Output is correct
19 Correct 6 ms 12108 KB Output is correct
20 Correct 6 ms 12108 KB Output is correct
21 Correct 7 ms 12152 KB Output is correct
22 Correct 7 ms 12108 KB Output is correct
23 Correct 8 ms 12108 KB Output is correct
24 Correct 6 ms 12108 KB Output is correct
25 Correct 6 ms 12108 KB Output is correct
26 Correct 7 ms 12192 KB Output is correct
27 Correct 6 ms 12108 KB Output is correct
28 Correct 7 ms 12200 KB Output is correct
29 Correct 7 ms 12108 KB Output is correct
30 Correct 6 ms 12108 KB Output is correct
31 Correct 7 ms 12108 KB Output is correct
32 Correct 7 ms 12108 KB Output is correct
33 Correct 6 ms 12108 KB Output is correct
34 Correct 7 ms 12108 KB Output is correct
35 Correct 6 ms 12108 KB Output is correct
36 Correct 7 ms 12108 KB Output is correct
37 Correct 7 ms 12108 KB Output is correct
38 Correct 7 ms 12124 KB Output is correct
39 Correct 7 ms 12156 KB Output is correct
40 Correct 7 ms 12108 KB Output is correct
41 Correct 7 ms 12152 KB Output is correct
42 Correct 8 ms 12108 KB Output is correct
43 Correct 7 ms 12140 KB Output is correct
44 Correct 8 ms 12168 KB Output is correct
45 Correct 7 ms 12180 KB Output is correct
46 Correct 7 ms 12108 KB Output is correct
47 Correct 8 ms 12184 KB Output is correct
48 Correct 7 ms 12108 KB Output is correct
49 Correct 7 ms 12108 KB Output is correct
50 Correct 31 ms 12236 KB Output is correct
51 Correct 53 ms 12236 KB Output is correct
52 Correct 36 ms 12236 KB Output is correct
53 Correct 27 ms 12236 KB Output is correct
54 Correct 23 ms 12236 KB Output is correct
55 Correct 10 ms 12288 KB Output is correct
56 Correct 34 ms 12300 KB Output is correct
57 Correct 27 ms 12292 KB Output is correct
58 Correct 33 ms 12312 KB Output is correct
59 Correct 26 ms 12236 KB Output is correct
60 Correct 29 ms 12284 KB Output is correct
61 Correct 29 ms 12248 KB Output is correct
62 Correct 10 ms 12236 KB Output is correct
63 Correct 10 ms 12236 KB Output is correct

Subtask #6
0.0 / 3.0

# 결과 실행 시간 메모리 Grader output
1 Correct 7 ms 12108 KB Output is correct
2 Correct 7 ms 12196 KB Output is correct
3 Correct 7 ms 12108 KB Output is correct
4 Correct 6 ms 12108 KB Output is correct
5 Correct 7 ms 12108 KB Output is correct
6 Correct 6 ms 12108 KB Output is correct
7 Correct 6 ms 12108 KB Output is correct
8 Correct 7 ms 12196 KB Output is correct
9 Correct 6 ms 12108 KB Output is correct
10 Correct 7 ms 12184 KB Output is correct
11 Correct 7 ms 12108 KB Output is correct
12 Correct 8 ms 12192 KB Output is correct
13 Correct 7 ms 12108 KB Output is correct
14 Correct 7 ms 12108 KB Output is correct
15 Correct 8 ms 12236 KB Output is correct
16 Correct 7 ms 12108 KB Output is correct
17 Correct 7 ms 12108 KB Output is correct
18 Correct 6 ms 12108 KB Output is correct
19 Correct 6 ms 12108 KB Output is correct
20 Correct 6 ms 12108 KB Output is correct
21 Correct 7 ms 12152 KB Output is correct
22 Correct 7 ms 12108 KB Output is correct
23 Correct 8 ms 12108 KB Output is correct
24 Correct 6 ms 12108 KB Output is correct
25 Correct 6 ms 12108 KB Output is correct
26 Correct 7 ms 12192 KB Output is correct
27 Correct 6 ms 12108 KB Output is correct
28 Correct 7 ms 12200 KB Output is correct
29 Correct 7 ms 12108 KB Output is correct
30 Correct 6 ms 12108 KB Output is correct
31 Correct 7 ms 12108 KB Output is correct
32 Correct 7 ms 12108 KB Output is correct
33 Correct 6 ms 12108 KB Output is correct
34 Correct 7 ms 12108 KB Output is correct
35 Correct 6 ms 12108 KB Output is correct
36 Execution timed out 7084 ms 13256 KB Time limit exceeded
37 Halted 0 ms 0 KB -

Subtask #7
0.0 / 5.0

# 결과 실행 시간 메모리 Grader output
1 Correct 7 ms 12108 KB Output is correct
2 Correct 7 ms 12196 KB Output is correct
3 Correct 7 ms 12108 KB Output is correct
4 Correct 6 ms 12108 KB Output is correct
5 Correct 7 ms 12108 KB Output is correct
6 Correct 6 ms 12108 KB Output is correct
7 Correct 6 ms 12108 KB Output is correct
8 Correct 7 ms 12196 KB Output is correct
9 Correct 6 ms 12108 KB Output is correct
10 Correct 7 ms 12184 KB Output is correct
11 Correct 7 ms 12108 KB Output is correct
12 Correct 8 ms 12192 KB Output is correct
13 Correct 7 ms 12108 KB Output is correct
14 Correct 7 ms 12108 KB Output is correct
15 Correct 8 ms 12236 KB Output is correct
16 Correct 7 ms 12108 KB Output is correct
17 Correct 7 ms 12108 KB Output is correct
18 Correct 6 ms 12108 KB Output is correct
19 Correct 6 ms 12108 KB Output is correct
20 Correct 6 ms 12108 KB Output is correct
21 Correct 7 ms 12152 KB Output is correct
22 Correct 7 ms 12108 KB Output is correct
23 Correct 8 ms 12108 KB Output is correct
24 Correct 6 ms 12108 KB Output is correct
25 Correct 6 ms 12108 KB Output is correct
26 Correct 7 ms 12192 KB Output is correct
27 Correct 6 ms 12108 KB Output is correct
28 Correct 7 ms 12200 KB Output is correct
29 Correct 7 ms 12108 KB Output is correct
30 Correct 6 ms 12108 KB Output is correct
31 Correct 7 ms 12108 KB Output is correct
32 Correct 7 ms 12108 KB Output is correct
33 Correct 6 ms 12108 KB Output is correct
34 Correct 7 ms 12108 KB Output is correct
35 Correct 6 ms 12108 KB Output is correct
36 Execution timed out 7084 ms 13256 KB Time limit exceeded
37 Halted 0 ms 0 KB -

Subtask #8
0.0 / 4.0

# 결과 실행 시간 메모리 Grader output
1 Correct 7 ms 12108 KB Output is correct
2 Correct 7 ms 12196 KB Output is correct
3 Correct 7 ms 12108 KB Output is correct
4 Correct 6 ms 12108 KB Output is correct
5 Correct 7 ms 12108 KB Output is correct
6 Correct 6 ms 12108 KB Output is correct
7 Correct 6 ms 12108 KB Output is correct
8 Correct 7 ms 12196 KB Output is correct
9 Correct 6 ms 12108 KB Output is correct
10 Correct 7 ms 12184 KB Output is correct
11 Correct 7 ms 12108 KB Output is correct
12 Correct 8 ms 12192 KB Output is correct
13 Correct 7 ms 12108 KB Output is correct
14 Correct 7 ms 12108 KB Output is correct
15 Correct 8 ms 12236 KB Output is correct
16 Correct 7 ms 12108 KB Output is correct
17 Correct 7 ms 12108 KB Output is correct
18 Correct 6 ms 12108 KB Output is correct
19 Correct 6 ms 12108 KB Output is correct
20 Correct 6 ms 12108 KB Output is correct
21 Correct 7 ms 12152 KB Output is correct
22 Correct 7 ms 12108 KB Output is correct
23 Correct 8 ms 12108 KB Output is correct
24 Correct 6 ms 12108 KB Output is correct
25 Correct 6 ms 12108 KB Output is correct
26 Correct 7 ms 12192 KB Output is correct
27 Correct 6 ms 12108 KB Output is correct
28 Correct 7 ms 12200 KB Output is correct
29 Correct 7 ms 12108 KB Output is correct
30 Correct 6 ms 12108 KB Output is correct
31 Correct 7 ms 12108 KB Output is correct
32 Correct 7 ms 12108 KB Output is correct
33 Correct 6 ms 12108 KB Output is correct
34 Correct 7 ms 12108 KB Output is correct
35 Correct 6 ms 12108 KB Output is correct
36 Execution timed out 7084 ms 13256 KB Time limit exceeded
37 Halted 0 ms 0 KB -