Submission #787439

# Submission time Handle Problem Language Result Execution time Memory
787439 2023-07-19T07:45:16 Z willychan Evacuation plan (IZhO18_plan) C++14
100 / 100
322 ms 32124 KB
#include<bits/stdc++.h>
using namespace std;
typedef long long ll;
//#include<bits/extc++.h>
//__gnu_pbds



const int N = 1e5+5;
vector<pair<int,int> > side[N];
ll dis[N];
pair<int,ll> p[N];
int sz[N];

int query(int a){
	while(a!=p[a].first){
		a = p[a].first;
	}
	return a;
}

void join(int a,int b,ll v){
	a = query(a);
	b = query(b);
	if(a==b) return ;
	if(sz[a]>sz[b]) swap(a,b);
	p[a].first=b;
	p[a].second=v;
	sz[b]+=sz[a];
}



int main(){
	ios_base::sync_with_stdio(0),cin.tie(0),cout.tie(0);
	int n,m;cin>>n>>m;	
	for(int i=0;i<m;i++){
		int a,b,w;cin>>a>>b>>w;
		side[a].push_back({b,w});
		side[b].push_back({a,w});
	}
	for(int i=1;i<=n;i++) dis[i]=1e18;
	priority_queue<pair<ll,int>,vector<pair<ll,int>>,greater<pair<ll,int>>> pq;
	int k;cin>>k;
	for(int i=0;i<k;i++){
		int g;cin>>g;
		dis[g]=0;
		pq.push({dis[g],g});
	}
	while(pq.size()){
		pair<ll,int> cur= pq.top();
		pq.pop();
		if(cur.first!=dis[cur.second]) continue;
		for(auto e : side[cur.second]){
			if(dis[e.first]>dis[cur.second]+e.second){
				dis[e.first] = dis[cur.second]+e.second;
				pq.push({dis[e.first],e.first});
			}
		}
	}
	vector<int> order;
	for(int i=1;i<=n;i++){
		order.push_back(i);
		p[i] = {i,0};
		sz[i]=1;
	}
	sort(order.begin(),order.end(),[&](const int a,const int b){return dis[a]>dis[b];});
	for(auto i : order){
		for(auto e : side[i]){
			if(dis[e.first]<dis[i] || (dis[e.first]==dis[i] && e.first<i)) continue;
			join(i,e.first,dis[i]);
		}
	}
	int q;cin>>q;
	while(q--){
		int s,t;cin>>s>>t;
		ll minn = 1e18;
		while(s!=t){
			if(sz[s]>sz[t]) swap(s,t);
			minn = min(p[s].second,minn);
			s = p[s].first;
		}
		cout<<minn<<"\n";
	}
	return 0;
}

/*
9 12
1 9 4
1 2 5
2 3 7
2 4 3
4 3 6
3 6 4
8 7 10
6 7 5
5 8 1
9 5 7
5 4 12
6 8 2
2
4 7
5
1 6
5 3
4 8
5 8
1 5
*/
# Verdict Execution time Memory Grader output
1 Correct 1 ms 2644 KB Output is correct
2 Correct 2 ms 2772 KB Output is correct
3 Correct 2 ms 2772 KB Output is correct
4 Correct 1 ms 2644 KB Output is correct
5 Correct 2 ms 2772 KB Output is correct
6 Correct 2 ms 2772 KB Output is correct
7 Correct 1 ms 2644 KB Output is correct
8 Correct 1 ms 2644 KB Output is correct
9 Correct 2 ms 2644 KB Output is correct
10 Correct 2 ms 2728 KB Output is correct
11 Correct 2 ms 2772 KB Output is correct
12 Correct 2 ms 2772 KB Output is correct
13 Correct 2 ms 2644 KB Output is correct
14 Correct 2 ms 2772 KB Output is correct
15 Correct 2 ms 2772 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 2644 KB Output is correct
2 Correct 2 ms 2772 KB Output is correct
3 Correct 2 ms 2772 KB Output is correct
4 Correct 1 ms 2644 KB Output is correct
5 Correct 2 ms 2772 KB Output is correct
6 Correct 2 ms 2772 KB Output is correct
7 Correct 1 ms 2644 KB Output is correct
8 Correct 1 ms 2644 KB Output is correct
9 Correct 2 ms 2644 KB Output is correct
10 Correct 2 ms 2728 KB Output is correct
11 Correct 2 ms 2772 KB Output is correct
12 Correct 2 ms 2772 KB Output is correct
13 Correct 2 ms 2644 KB Output is correct
14 Correct 2 ms 2772 KB Output is correct
15 Correct 2 ms 2772 KB Output is correct
16 Correct 73 ms 9592 KB Output is correct
17 Correct 287 ms 22728 KB Output is correct
18 Correct 19 ms 5328 KB Output is correct
19 Correct 69 ms 14976 KB Output is correct
20 Correct 247 ms 32024 KB Output is correct
21 Correct 146 ms 18832 KB Output is correct
22 Correct 62 ms 12792 KB Output is correct
23 Correct 274 ms 32016 KB Output is correct
24 Correct 295 ms 32120 KB Output is correct
25 Correct 251 ms 32016 KB Output is correct
26 Correct 74 ms 14820 KB Output is correct
27 Correct 69 ms 14936 KB Output is correct
28 Correct 80 ms 14804 KB Output is correct
29 Correct 68 ms 14952 KB Output is correct
30 Correct 68 ms 15004 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 2644 KB Output is correct
2 Correct 1 ms 2644 KB Output is correct
3 Correct 1 ms 2644 KB Output is correct
4 Correct 1 ms 2644 KB Output is correct
5 Correct 1 ms 2644 KB Output is correct
6 Correct 1 ms 2644 KB Output is correct
7 Correct 1 ms 2644 KB Output is correct
8 Correct 2 ms 2644 KB Output is correct
9 Correct 1 ms 2644 KB Output is correct
10 Correct 1 ms 2644 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 98 ms 13632 KB Output is correct
2 Correct 231 ms 30388 KB Output is correct
3 Correct 237 ms 30364 KB Output is correct
4 Correct 45 ms 10648 KB Output is correct
5 Correct 230 ms 30396 KB Output is correct
6 Correct 280 ms 30424 KB Output is correct
7 Correct 246 ms 30516 KB Output is correct
8 Correct 227 ms 30436 KB Output is correct
9 Correct 225 ms 30384 KB Output is correct
10 Correct 256 ms 30468 KB Output is correct
11 Correct 242 ms 30344 KB Output is correct
12 Correct 295 ms 30444 KB Output is correct
13 Correct 245 ms 30388 KB Output is correct
14 Correct 225 ms 30400 KB Output is correct
15 Correct 243 ms 30552 KB Output is correct
16 Correct 225 ms 30392 KB Output is correct
17 Correct 236 ms 30384 KB Output is correct
18 Correct 302 ms 30436 KB Output is correct
19 Correct 40 ms 10648 KB Output is correct
20 Correct 257 ms 30340 KB Output is correct
21 Correct 288 ms 30300 KB Output is correct
22 Correct 50 ms 13372 KB Output is correct
23 Correct 48 ms 11180 KB Output is correct
24 Correct 54 ms 13324 KB Output is correct
25 Correct 50 ms 13408 KB Output is correct
26 Correct 58 ms 11320 KB Output is correct
27 Correct 40 ms 10624 KB Output is correct
28 Correct 59 ms 13404 KB Output is correct
29 Correct 40 ms 10584 KB Output is correct
30 Correct 54 ms 13320 KB Output is correct
31 Correct 39 ms 10656 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 2644 KB Output is correct
2 Correct 2 ms 2772 KB Output is correct
3 Correct 2 ms 2772 KB Output is correct
4 Correct 1 ms 2644 KB Output is correct
5 Correct 2 ms 2772 KB Output is correct
6 Correct 2 ms 2772 KB Output is correct
7 Correct 1 ms 2644 KB Output is correct
8 Correct 1 ms 2644 KB Output is correct
9 Correct 2 ms 2644 KB Output is correct
10 Correct 2 ms 2728 KB Output is correct
11 Correct 2 ms 2772 KB Output is correct
12 Correct 2 ms 2772 KB Output is correct
13 Correct 2 ms 2644 KB Output is correct
14 Correct 2 ms 2772 KB Output is correct
15 Correct 2 ms 2772 KB Output is correct
16 Correct 73 ms 9592 KB Output is correct
17 Correct 287 ms 22728 KB Output is correct
18 Correct 19 ms 5328 KB Output is correct
19 Correct 69 ms 14976 KB Output is correct
20 Correct 247 ms 32024 KB Output is correct
21 Correct 146 ms 18832 KB Output is correct
22 Correct 62 ms 12792 KB Output is correct
23 Correct 274 ms 32016 KB Output is correct
24 Correct 295 ms 32120 KB Output is correct
25 Correct 251 ms 32016 KB Output is correct
26 Correct 74 ms 14820 KB Output is correct
27 Correct 69 ms 14936 KB Output is correct
28 Correct 80 ms 14804 KB Output is correct
29 Correct 68 ms 14952 KB Output is correct
30 Correct 68 ms 15004 KB Output is correct
31 Correct 1 ms 2644 KB Output is correct
32 Correct 1 ms 2644 KB Output is correct
33 Correct 1 ms 2644 KB Output is correct
34 Correct 1 ms 2644 KB Output is correct
35 Correct 1 ms 2644 KB Output is correct
36 Correct 1 ms 2644 KB Output is correct
37 Correct 1 ms 2644 KB Output is correct
38 Correct 2 ms 2644 KB Output is correct
39 Correct 1 ms 2644 KB Output is correct
40 Correct 1 ms 2644 KB Output is correct
41 Correct 98 ms 13632 KB Output is correct
42 Correct 231 ms 30388 KB Output is correct
43 Correct 237 ms 30364 KB Output is correct
44 Correct 45 ms 10648 KB Output is correct
45 Correct 230 ms 30396 KB Output is correct
46 Correct 280 ms 30424 KB Output is correct
47 Correct 246 ms 30516 KB Output is correct
48 Correct 227 ms 30436 KB Output is correct
49 Correct 225 ms 30384 KB Output is correct
50 Correct 256 ms 30468 KB Output is correct
51 Correct 242 ms 30344 KB Output is correct
52 Correct 295 ms 30444 KB Output is correct
53 Correct 245 ms 30388 KB Output is correct
54 Correct 225 ms 30400 KB Output is correct
55 Correct 243 ms 30552 KB Output is correct
56 Correct 225 ms 30392 KB Output is correct
57 Correct 236 ms 30384 KB Output is correct
58 Correct 302 ms 30436 KB Output is correct
59 Correct 40 ms 10648 KB Output is correct
60 Correct 257 ms 30340 KB Output is correct
61 Correct 288 ms 30300 KB Output is correct
62 Correct 50 ms 13372 KB Output is correct
63 Correct 48 ms 11180 KB Output is correct
64 Correct 54 ms 13324 KB Output is correct
65 Correct 50 ms 13408 KB Output is correct
66 Correct 58 ms 11320 KB Output is correct
67 Correct 40 ms 10624 KB Output is correct
68 Correct 59 ms 13404 KB Output is correct
69 Correct 40 ms 10584 KB Output is correct
70 Correct 54 ms 13320 KB Output is correct
71 Correct 39 ms 10656 KB Output is correct
72 Correct 134 ms 18672 KB Output is correct
73 Correct 322 ms 32060 KB Output is correct
74 Correct 263 ms 32056 KB Output is correct
75 Correct 313 ms 32088 KB Output is correct
76 Correct 242 ms 32044 KB Output is correct
77 Correct 270 ms 32068 KB Output is correct
78 Correct 285 ms 31952 KB Output is correct
79 Correct 271 ms 32044 KB Output is correct
80 Correct 253 ms 32092 KB Output is correct
81 Correct 264 ms 32064 KB Output is correct
82 Correct 306 ms 32124 KB Output is correct
83 Correct 273 ms 32000 KB Output is correct
84 Correct 244 ms 32100 KB Output is correct
85 Correct 291 ms 32124 KB Output is correct
86 Correct 258 ms 31996 KB Output is correct
87 Correct 258 ms 32084 KB Output is correct
88 Correct 266 ms 32068 KB Output is correct
89 Correct 60 ms 12784 KB Output is correct
90 Correct 254 ms 32064 KB Output is correct
91 Correct 278 ms 31788 KB Output is correct
92 Correct 76 ms 14904 KB Output is correct
93 Correct 72 ms 13216 KB Output is correct
94 Correct 73 ms 14840 KB Output is correct
95 Correct 71 ms 14996 KB Output is correct
96 Correct 78 ms 12748 KB Output is correct
97 Correct 67 ms 12368 KB Output is correct
98 Correct 66 ms 14884 KB Output is correct
99 Correct 62 ms 12376 KB Output is correct
100 Correct 71 ms 14992 KB Output is correct