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Submission #1092207

# Submission time Handle Problem Language Result Execution time Memory
1092207 2024-09-23T14:46:24 Z Trisanu_Das Aesthetic (NOI20_aesthetic) C++17
100 / 100
 1086 ms 59720 KB 
#include <bits/stdc++.h>
using namespace std;
#define int long long 
#define ff first
#define ss second

int n, m;
vector<pair<int, int> > adj[300005];
pair<int, int> edge[300005];
int w[300005], p[300005], fw[300005], bw[300005], in[300005], low[300005];
priority_queue<pair<int, int> ,vector<pair<int, int> >, greater<pair<int, int> > > pq;
bool used[300005], dc[300005];
int T;
vector<int> bridge;
 
 
 
void dfs(int u, int p){
	in[u] = low[u] = T++;
	if (u == n) dc[u] = true;
	for (auto &it : adj[u]){
		if (it.ff == p || !used[it.ss]) continue;
		if (!in[it.ff]){
			dfs(it.ff, u);
			low[u] = min(low[u], low[it.ff]);
			if (dc[it.ff]){
				if (in[it.ff]==low[it.ff]) bridge.push_back(it.ss);
				dc[u] = true;
            }
		} else low[u] = min(low[u], in[it.ff]);
	}
}
 

bool chk(int i){
	if (i < fw[n]) return true;
	for(int x = 0; x < m; x++)
		used[x]=(fw[edge[x].ff] + w[x] + bw[edge[x].ss] <= i || 
				 fw[edge[x].ss] + w[x] + bw[edge[x].ff] <= i);
	T = 1;
	bridge.clear();
	memset(in, 0, sizeof(in));
	memset(dc, false, sizeof(dc));
	dfs(1,-1);
	for (auto &it : bridge)
		if (fw[edge[it].ff] + w[it] + p[it] + bw[edge[it].ss] > i &&
			fw[edge[it].ss] + w[it] + p[it] + bw[edge[it].ff] > i) return true;
	return false;
 
}

 
signed main(){
 	ios::sync_with_stdio(0); cin.tie(0);
	cin >> n >> m;
	for(int x = 0; x < m; x++){
		cin >> edge[x].ff >> edge[x].ss >> w[x];
		adj[edge[x].ff].push_back({edge[x].ss, x});
		adj[edge[x].ss].push_back({edge[x].ff,x});
	}
	for(int x = m - 1; x > -1; x--) p[x] = max(p[x + 1], w[x + 1]);
	memset(fw, 63, sizeof(fw));
	fw[1] = 0;
	pq.push({fw[1], 1});
	while (!pq.empty()){
		int node = pq.top().ss, weight = pq.top().ff;
		pq.pop();
		if (fw[node]!=weight) continue;
		for (auto &it : adj[node]){
			if (fw[it.ff] > weight + w[it.ss]){
				fw[it.ff] = weight + w[it.ss]; 
				if (it.ff != n) pq.push({fw[it.ff], it.ff});
			}
		}
	}
	memset(bw, 63, sizeof(bw));
	bw[n] = 0;
	pq.push({bw[n],n});
	while (!pq.empty()){
		int node = pq.top().ss, weight=pq.top().ff;
		pq.pop();
		if (bw[node] != weight) continue;
		for (auto &it : adj[node]){
			if (bw[it.ff] > weight + w[it.ss]){
				bw[it.ff] = weight + w[it.ss];
				if (it.ff != 1) pq.push({bw[it.ff], it.ff});
			}
		}
	}
	int lo = fw[n] - 1, hi = fw[n] + 1e9 + 10, mid;
	while (hi - lo > 1){
		mid  = (hi + lo) / 2;
		if (chk(mid)) lo = mid;
		else hi = mid;
	}
	cout << hi << '\n';
}

Subtask #1
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 8 ms 14684 KB Output is correct
2 Correct 8 ms 14816 KB Output is correct
3 Correct 8 ms 14684 KB Output is correct
4 Correct 7 ms 14884 KB Output is correct
5 Correct 8 ms 14760 KB Output is correct
6 Correct 8 ms 14684 KB Output is correct
7 Correct 10 ms 14684 KB Output is correct
8 Correct 8 ms 14640 KB Output is correct

Subtask #2
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 8 ms 14684 KB Output is correct
2 Correct 8 ms 14816 KB Output is correct
3 Correct 8 ms 14684 KB Output is correct
4 Correct 7 ms 14884 KB Output is correct
5 Correct 8 ms 14760 KB Output is correct
6 Correct 8 ms 14684 KB Output is correct
7 Correct 10 ms 14684 KB Output is correct
8 Correct 8 ms 14640 KB Output is correct
9 Correct 9 ms 14940 KB Output is correct
10 Correct 10 ms 15120 KB Output is correct
11 Correct 9 ms 14940 KB Output is correct
12 Correct 10 ms 15060 KB Output is correct
13 Correct 10 ms 14936 KB Output is correct
14 Correct 10 ms 15056 KB Output is correct
15 Correct 9 ms 14936 KB Output is correct
16 Correct 10 ms 14936 KB Output is correct

Subtask #3
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 279 ms 48980 KB Output is correct
2 Correct 323 ms 48844 KB Output is correct
3 Correct 273 ms 48936 KB Output is correct
4 Correct 256 ms 49084 KB Output is correct
5 Correct 257 ms 49232 KB Output is correct
6 Correct 285 ms 50000 KB Output is correct
7 Correct 276 ms 49492 KB Output is correct
8 Correct 267 ms 50004 KB Output is correct

Subtask #4
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 272 ms 50000 KB Output is correct
2 Correct 290 ms 49492 KB Output is correct
3 Correct 269 ms 48080 KB Output is correct
4 Correct 270 ms 48208 KB Output is correct
5 Correct 270 ms 49232 KB Output is correct
6 Correct 325 ms 48980 KB Output is correct
7 Correct 268 ms 49236 KB Output is correct
8 Correct 282 ms 49680 KB Output is correct

Subtask #5
16.0 / 16.0

# Verdict Execution time Memory Grader output
1 Correct 1072 ms 53444 KB Output is correct
2 Correct 479 ms 44880 KB Output is correct
3 Correct 475 ms 49780 KB Output is correct
4 Correct 472 ms 49748 KB Output is correct
5 Correct 454 ms 49748 KB Output is correct
6 Correct 490 ms 49852 KB Output is correct
7 Correct 446 ms 49760 KB Output is correct
8 Correct 482 ms 50236 KB Output is correct
9 Correct 471 ms 49600 KB Output is correct
10 Correct 536 ms 50180 KB Output is correct
11 Correct 477 ms 50004 KB Output is correct
12 Correct 1086 ms 54216 KB Output is correct
13 Correct 532 ms 49804 KB Output is correct
14 Correct 237 ms 59596 KB Output is correct
15 Correct 257 ms 59700 KB Output is correct
16 Correct 1004 ms 54472 KB Output is correct
17 Correct 900 ms 53444 KB Output is correct
18 Correct 926 ms 54212 KB Output is correct
19 Correct 481 ms 44820 KB Output is correct
20 Correct 510 ms 44936 KB Output is correct
21 Correct 506 ms 44884 KB Output is correct
22 Correct 469 ms 45028 KB Output is correct

Subtask #6
22.0 / 22.0

# Verdict Execution time Memory Grader output
1 Correct 1072 ms 53444 KB Output is correct
2 Correct 479 ms 44880 KB Output is correct
3 Correct 475 ms 49780 KB Output is correct
4 Correct 472 ms 49748 KB Output is correct
5 Correct 454 ms 49748 KB Output is correct
6 Correct 490 ms 49852 KB Output is correct
7 Correct 446 ms 49760 KB Output is correct
8 Correct 482 ms 50236 KB Output is correct
9 Correct 471 ms 49600 KB Output is correct
10 Correct 536 ms 50180 KB Output is correct
11 Correct 477 ms 50004 KB Output is correct
12 Correct 1086 ms 54216 KB Output is correct
13 Correct 532 ms 49804 KB Output is correct
14 Correct 237 ms 59596 KB Output is correct
15 Correct 257 ms 59700 KB Output is correct
16 Correct 1004 ms 54472 KB Output is correct
17 Correct 900 ms 53444 KB Output is correct
18 Correct 926 ms 54212 KB Output is correct
19 Correct 481 ms 44820 KB Output is correct
20 Correct 510 ms 44936 KB Output is correct
21 Correct 506 ms 44884 KB Output is correct
22 Correct 469 ms 45028 KB Output is correct
23 Correct 946 ms 54684 KB Output is correct
24 Correct 462 ms 44912 KB Output is correct
25 Correct 418 ms 49488 KB Output is correct
26 Correct 434 ms 49744 KB Output is correct
27 Correct 442 ms 49812 KB Output is correct
28 Correct 446 ms 49860 KB Output is correct
29 Correct 439 ms 49960 KB Output is correct
30 Correct 441 ms 49744 KB Output is correct
31 Correct 490 ms 50256 KB Output is correct
32 Correct 445 ms 49624 KB Output is correct
33 Correct 472 ms 50004 KB Output is correct
34 Correct 924 ms 54460 KB Output is correct
35 Correct 479 ms 50048 KB Output is correct
36 Correct 207 ms 58244 KB Output is correct
37 Correct 214 ms 59064 KB Output is correct
38 Correct 974 ms 54008 KB Output is correct
39 Correct 912 ms 53948 KB Output is correct
40 Correct 1053 ms 54536 KB Output is correct
41 Correct 479 ms 45040 KB Output is correct
42 Correct 490 ms 44884 KB Output is correct
43 Correct 556 ms 44884 KB Output is correct
44 Correct 559 ms 45104 KB Output is correct

Subtask #7
27.0 / 27.0

# Verdict Execution time Memory Grader output
1 Correct 8 ms 14684 KB Output is correct
2 Correct 8 ms 14816 KB Output is correct
3 Correct 8 ms 14684 KB Output is correct
4 Correct 7 ms 14884 KB Output is correct
5 Correct 8 ms 14760 KB Output is correct
6 Correct 8 ms 14684 KB Output is correct
7 Correct 10 ms 14684 KB Output is correct
8 Correct 8 ms 14640 KB Output is correct
9 Correct 9 ms 14940 KB Output is correct
10 Correct 10 ms 15120 KB Output is correct
11 Correct 9 ms 14940 KB Output is correct
12 Correct 10 ms 15060 KB Output is correct
13 Correct 10 ms 14936 KB Output is correct
14 Correct 10 ms 15056 KB Output is correct
15 Correct 9 ms 14936 KB Output is correct
16 Correct 10 ms 14936 KB Output is correct
17 Correct 279 ms 48980 KB Output is correct
18 Correct 323 ms 48844 KB Output is correct
19 Correct 273 ms 48936 KB Output is correct
20 Correct 256 ms 49084 KB Output is correct
21 Correct 257 ms 49232 KB Output is correct
22 Correct 285 ms 50000 KB Output is correct
23 Correct 276 ms 49492 KB Output is correct
24 Correct 267 ms 50004 KB Output is correct
25 Correct 272 ms 50000 KB Output is correct
26 Correct 290 ms 49492 KB Output is correct
27 Correct 269 ms 48080 KB Output is correct
28 Correct 270 ms 48208 KB Output is correct
29 Correct 270 ms 49232 KB Output is correct
30 Correct 325 ms 48980 KB Output is correct
31 Correct 268 ms 49236 KB Output is correct
32 Correct 282 ms 49680 KB Output is correct
33 Correct 1072 ms 53444 KB Output is correct
34 Correct 479 ms 44880 KB Output is correct
35 Correct 475 ms 49780 KB Output is correct
36 Correct 472 ms 49748 KB Output is correct
37 Correct 454 ms 49748 KB Output is correct
38 Correct 490 ms 49852 KB Output is correct
39 Correct 446 ms 49760 KB Output is correct
40 Correct 482 ms 50236 KB Output is correct
41 Correct 471 ms 49600 KB Output is correct
42 Correct 536 ms 50180 KB Output is correct
43 Correct 477 ms 50004 KB Output is correct
44 Correct 1086 ms 54216 KB Output is correct
45 Correct 532 ms 49804 KB Output is correct
46 Correct 237 ms 59596 KB Output is correct
47 Correct 257 ms 59700 KB Output is correct
48 Correct 1004 ms 54472 KB Output is correct
49 Correct 900 ms 53444 KB Output is correct
50 Correct 926 ms 54212 KB Output is correct
51 Correct 481 ms 44820 KB Output is correct
52 Correct 510 ms 44936 KB Output is correct
53 Correct 506 ms 44884 KB Output is correct
54 Correct 469 ms 45028 KB Output is correct
55 Correct 946 ms 54684 KB Output is correct
56 Correct 462 ms 44912 KB Output is correct
57 Correct 418 ms 49488 KB Output is correct
58 Correct 434 ms 49744 KB Output is correct
59 Correct 442 ms 49812 KB Output is correct
60 Correct 446 ms 49860 KB Output is correct
61 Correct 439 ms 49960 KB Output is correct
62 Correct 441 ms 49744 KB Output is correct
63 Correct 490 ms 50256 KB Output is correct
64 Correct 445 ms 49624 KB Output is correct
65 Correct 472 ms 50004 KB Output is correct
66 Correct 924 ms 54460 KB Output is correct
67 Correct 479 ms 50048 KB Output is correct
68 Correct 207 ms 58244 KB Output is correct
69 Correct 214 ms 59064 KB Output is correct
70 Correct 974 ms 54008 KB Output is correct
71 Correct 912 ms 53948 KB Output is correct
72 Correct 1053 ms 54536 KB Output is correct
73 Correct 479 ms 45040 KB Output is correct
74 Correct 490 ms 44884 KB Output is correct
75 Correct 556 ms 44884 KB Output is correct
76 Correct 559 ms 45104 KB Output is correct
77 Correct 309 ms 49416 KB Output is correct
78 Correct 252 ms 47188 KB Output is correct
79 Correct 230 ms 52084 KB Output is correct
80 Correct 231 ms 52048 KB Output is correct
81 Correct 229 ms 52056 KB Output is correct
82 Correct 205 ms 51792 KB Output is correct
83 Correct 202 ms 52308 KB Output is correct
84 Correct 209 ms 52564 KB Output is correct
85 Correct 210 ms 52048 KB Output is correct
86 Correct 210 ms 52052 KB Output is correct
87 Correct 238 ms 52560 KB Output is correct
88 Correct 269 ms 48376 KB Output is correct
89 Correct 209 ms 52304 KB Output is correct
90 Correct 222 ms 59176 KB Output is correct
91 Correct 210 ms 59720 KB Output is correct
92 Correct 275 ms 48832 KB Output is correct
93 Correct 291 ms 48288 KB Output is correct
94 Correct 267 ms 47892 KB Output is correct
95 Correct 239 ms 47040 KB Output is correct
96 Correct 251 ms 47188 KB Output is correct
97 Correct 242 ms 47188 KB Output is correct
98 Correct 259 ms 47440 KB Output is correct