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Submission #294549

# Submission time Handle Problem Language Result Execution time Memory
294549 2020-09-09T04:27:04 Z nandonathaniel Relay Marathon (NOI20_relaymarathon) C++14
100 / 100
 2503 ms 127784 KB 
#include<bits/stdc++.h>
using namespace std;
typedef pair<int,int> pii;
typedef pair<int,pii> piii;
const int MAXN=1e5+5,INF=1e9;

vector<pii> adj[MAXN];
int head[MAXN],dist[MAXN],n;
bool special[MAXN],skip[MAXN];

piii MinimumPairSpecialDistance(){
	priority_queue<pii,vector<pii>,greater<pii>> PQ;
	for(int i=1;i<=n;i++)dist[i]=INF;
	for(int i=1;i<=n;i++){
		if(!special[i] || skip[i])continue;
		dist[i]=0;
		head[i]=i;
		PQ.push({dist[i],i});
	}
	while(!PQ.empty()){
		pii now=PQ.top();
		PQ.pop();
		if(dist[now.second]<now.first)continue;
		for(auto nxt : adj[now.second]){
			if(!skip[nxt.first] && dist[now.second]+nxt.second<dist[nxt.first]){
				dist[nxt.first]=dist[now.second]+nxt.second;
				head[nxt.first]=head[now.second];
				PQ.push({dist[nxt.first],nxt.first});
			}
		}
	}
	int val=INF;
	pii ret;
	for(int i=1;i<=n;i++){
		for(auto j : adj[i]){
			if(head[i]==head[j.first] || skip[head[i]] || skip[head[j.first]])continue;
			if(dist[i]+j.second+dist[j.first]<val){
				val=dist[i]+j.second+dist[j.first];
				ret={head[i],head[j.first]};
			}
		}
	}
	return {val,ret};
}

int kasusdua(int a,int b){
	priority_queue<pii,vector<pii>,greater<pii>> PQ;
	for(int i=1;i<=n;i++)dist[i]=INF;
	dist[a]=0;
	PQ.push({dist[a],a});
	while(!PQ.empty()){
		pii now=PQ.top();
		PQ.pop();
		if(dist[now.second]<now.first)continue;
		for(auto nxt : adj[now.second]){
			if(dist[now.second]+nxt.second<dist[nxt.first]){
				dist[nxt.first]=dist[now.second]+nxt.second;
				PQ.push({dist[nxt.first],nxt.first});
			}
		}
	}
	vector<pii> jaraka;
	for(int i=1;i<=n;i++){
		if(i==a || i==b || !special[i])continue;
		jaraka.push_back({dist[i],i});
	}
	sort(jaraka.begin(),jaraka.end());
	for(int i=1;i<=n;i++)dist[i]=INF;
	dist[b]=0;
	PQ.push({dist[b],b});
	while(!PQ.empty()){
		pii now=PQ.top();
		PQ.pop();
		if(dist[now.second]<now.first)continue;
		for(auto nxt : adj[now.second]){
			if(dist[now.second]+nxt.second<dist[nxt.first]){
				dist[nxt.first]=dist[now.second]+nxt.second;
				PQ.push({dist[nxt.first],nxt.first});
			}
		}
	}
	vector<pii> jarakb;
	for(int i=1;i<=n;i++){
		if(i==a || i==b || !special[i])continue;
		jarakb.push_back({dist[i],i});
	}
	sort(jarakb.begin(),jarakb.end());
	if(jaraka[0].second==jarakb[0].second)return min(jaraka[0].first+jarakb[1].first,jaraka[1].first+jarakb[0].first);
	else return jaraka[0].first+jarakb[0].first;
}

int main(){
	ios_base::sync_with_stdio(false);cin.tie(NULL);cout.tie(NULL);
	int m,k,u,v,w;
	cin >> n >> m >> k;
	for(int i=1;i<=m;i++){
		cin >> u >> v >> w;
		adj[u].push_back({v,w});
		adj[v].push_back({u,w});
	}
	for(int i=1;i<=k;i++){
		cin >> u;
		special[u]=true;
	}
	piii temp=MinimumPairSpecialDistance();
	int kasussatu=temp.first,a=temp.second.first,b=temp.second.second;
	skip[a]=true;skip[b]=true;
	kasussatu+=MinimumPairSpecialDistance().first;
	int ans=kasussatu;
	ans=min(ans,kasusdua(a,b));
	cout << ans << '\n';
	return 0;
}

Subtask #1
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 2688 KB Output is correct
2 Correct 3 ms 2688 KB Output is correct
3 Correct 2 ms 2688 KB Output is correct
4 Correct 2 ms 2688 KB Output is correct
5 Correct 2 ms 2688 KB Output is correct
6 Correct 2 ms 2688 KB Output is correct
7 Correct 2 ms 2688 KB Output is correct
8 Correct 2 ms 2688 KB Output is correct
9 Correct 2 ms 2688 KB Output is correct
10 Correct 2 ms 2688 KB Output is correct
11 Correct 2 ms 2688 KB Output is correct
12 Correct 2 ms 2688 KB Output is correct
13 Correct 3 ms 2688 KB Output is correct
14 Correct 2 ms 2688 KB Output is correct
15 Correct 2 ms 2816 KB Output is correct
16 Correct 2 ms 2688 KB Output is correct
17 Correct 3 ms 2688 KB Output is correct
18 Correct 2 ms 2688 KB Output is correct
19 Correct 2 ms 2688 KB Output is correct
20 Correct 2 ms 2688 KB Output is correct
21 Correct 2 ms 2816 KB Output is correct
22 Correct 2 ms 2688 KB Output is correct
23 Correct 2 ms 2688 KB Output is correct
24 Correct 2 ms 2688 KB Output is correct
25 Correct 2 ms 2688 KB Output is correct
26 Correct 2 ms 2688 KB Output is correct
27 Correct 2 ms 2688 KB Output is correct
28 Correct 3 ms 2816 KB Output is correct
29 Correct 2 ms 2688 KB Output is correct
30 Correct 3 ms 2688 KB Output is correct

Subtask #2
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 2688 KB Output is correct
2 Correct 3 ms 2688 KB Output is correct
3 Correct 2 ms 2688 KB Output is correct
4 Correct 2 ms 2688 KB Output is correct
5 Correct 2 ms 2688 KB Output is correct
6 Correct 2 ms 2688 KB Output is correct
7 Correct 2 ms 2688 KB Output is correct
8 Correct 2 ms 2688 KB Output is correct
9 Correct 2 ms 2688 KB Output is correct
10 Correct 2 ms 2688 KB Output is correct
11 Correct 2 ms 2688 KB Output is correct
12 Correct 2 ms 2688 KB Output is correct
13 Correct 3 ms 2688 KB Output is correct
14 Correct 2 ms 2688 KB Output is correct
15 Correct 2 ms 2816 KB Output is correct
16 Correct 2 ms 2688 KB Output is correct
17 Correct 3 ms 2688 KB Output is correct
18 Correct 2 ms 2688 KB Output is correct
19 Correct 2 ms 2688 KB Output is correct
20 Correct 2 ms 2688 KB Output is correct
21 Correct 2 ms 2816 KB Output is correct
22 Correct 2 ms 2688 KB Output is correct
23 Correct 2 ms 2688 KB Output is correct
24 Correct 2 ms 2688 KB Output is correct
25 Correct 2 ms 2688 KB Output is correct
26 Correct 2 ms 2688 KB Output is correct
27 Correct 2 ms 2688 KB Output is correct
28 Correct 3 ms 2816 KB Output is correct
29 Correct 2 ms 2688 KB Output is correct
30 Correct 3 ms 2688 KB Output is correct
31 Correct 2 ms 2688 KB Output is correct
32 Correct 2 ms 2688 KB Output is correct
33 Correct 3 ms 2688 KB Output is correct
34 Correct 2 ms 2688 KB Output is correct
35 Correct 2 ms 2688 KB Output is correct
36 Correct 4 ms 2816 KB Output is correct
37 Correct 5 ms 2944 KB Output is correct
38 Correct 3 ms 2688 KB Output is correct
39 Correct 28 ms 5880 KB Output is correct
40 Correct 9 ms 3456 KB Output is correct
41 Correct 3 ms 2816 KB Output is correct
42 Correct 9 ms 3456 KB Output is correct
43 Correct 4 ms 2816 KB Output is correct
44 Correct 3 ms 2688 KB Output is correct
45 Correct 2 ms 2688 KB Output is correct
46 Correct 35 ms 6136 KB Output is correct
47 Correct 7 ms 3200 KB Output is correct
48 Correct 26 ms 5760 KB Output is correct
49 Correct 28 ms 5888 KB Output is correct
50 Correct 3 ms 2688 KB Output is correct
51 Correct 3 ms 2816 KB Output is correct
52 Correct 3 ms 2688 KB Output is correct
53 Correct 17 ms 4352 KB Output is correct
54 Correct 29 ms 6008 KB Output is correct
55 Correct 3 ms 2688 KB Output is correct
56 Correct 2 ms 2688 KB Output is correct
57 Correct 3 ms 2688 KB Output is correct
58 Correct 36 ms 6264 KB Output is correct
59 Correct 2 ms 2688 KB Output is correct
60 Correct 3 ms 2816 KB Output is correct

Subtask #3
25.0 / 25.0

# Verdict Execution time Memory Grader output
1 Correct 79 ms 7400 KB Output is correct
2 Correct 9 ms 3884 KB Output is correct
3 Correct 1663 ms 101540 KB Output is correct
4 Correct 783 ms 47672 KB Output is correct
5 Correct 208 ms 12684 KB Output is correct
6 Correct 175 ms 10500 KB Output is correct
7 Correct 234 ms 13644 KB Output is correct
8 Correct 95 ms 7544 KB Output is correct
9 Correct 152 ms 10156 KB Output is correct
10 Correct 110 ms 8340 KB Output is correct
11 Correct 1854 ms 107348 KB Output is correct
12 Correct 141 ms 8696 KB Output is correct
13 Correct 530 ms 30884 KB Output is correct
14 Correct 262 ms 13724 KB Output is correct
15 Correct 1804 ms 104972 KB Output is correct
16 Correct 58 ms 7032 KB Output is correct
17 Correct 1257 ms 74508 KB Output is correct
18 Correct 8 ms 4096 KB Output is correct
19 Correct 1971 ms 112088 KB Output is correct
20 Correct 230 ms 13004 KB Output is correct
21 Correct 197 ms 11960 KB Output is correct
22 Correct 105 ms 8232 KB Output is correct
23 Correct 29 ms 6136 KB Output is correct
24 Correct 1306 ms 82308 KB Output is correct
25 Correct 167 ms 10292 KB Output is correct
26 Correct 88 ms 7544 KB Output is correct
27 Correct 133 ms 9184 KB Output is correct
28 Correct 18 ms 5120 KB Output is correct
29 Correct 240 ms 13428 KB Output is correct
30 Correct 466 ms 23896 KB Output is correct

Subtask #4
58.0 / 58.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 2688 KB Output is correct
2 Correct 3 ms 2688 KB Output is correct
3 Correct 2 ms 2688 KB Output is correct
4 Correct 2 ms 2688 KB Output is correct
5 Correct 2 ms 2688 KB Output is correct
6 Correct 2 ms 2688 KB Output is correct
7 Correct 2 ms 2688 KB Output is correct
8 Correct 2 ms 2688 KB Output is correct
9 Correct 2 ms 2688 KB Output is correct
10 Correct 2 ms 2688 KB Output is correct
11 Correct 2 ms 2688 KB Output is correct
12 Correct 2 ms 2688 KB Output is correct
13 Correct 3 ms 2688 KB Output is correct
14 Correct 2 ms 2688 KB Output is correct
15 Correct 2 ms 2816 KB Output is correct
16 Correct 2 ms 2688 KB Output is correct
17 Correct 3 ms 2688 KB Output is correct
18 Correct 2 ms 2688 KB Output is correct
19 Correct 2 ms 2688 KB Output is correct
20 Correct 2 ms 2688 KB Output is correct
21 Correct 2 ms 2816 KB Output is correct
22 Correct 2 ms 2688 KB Output is correct
23 Correct 2 ms 2688 KB Output is correct
24 Correct 2 ms 2688 KB Output is correct
25 Correct 2 ms 2688 KB Output is correct
26 Correct 2 ms 2688 KB Output is correct
27 Correct 2 ms 2688 KB Output is correct
28 Correct 3 ms 2816 KB Output is correct
29 Correct 2 ms 2688 KB Output is correct
30 Correct 3 ms 2688 KB Output is correct
31 Correct 2 ms 2688 KB Output is correct
32 Correct 2 ms 2688 KB Output is correct
33 Correct 3 ms 2688 KB Output is correct
34 Correct 2 ms 2688 KB Output is correct
35 Correct 2 ms 2688 KB Output is correct
36 Correct 4 ms 2816 KB Output is correct
37 Correct 5 ms 2944 KB Output is correct
38 Correct 3 ms 2688 KB Output is correct
39 Correct 28 ms 5880 KB Output is correct
40 Correct 9 ms 3456 KB Output is correct
41 Correct 3 ms 2816 KB Output is correct
42 Correct 9 ms 3456 KB Output is correct
43 Correct 4 ms 2816 KB Output is correct
44 Correct 3 ms 2688 KB Output is correct
45 Correct 2 ms 2688 KB Output is correct
46 Correct 35 ms 6136 KB Output is correct
47 Correct 7 ms 3200 KB Output is correct
48 Correct 26 ms 5760 KB Output is correct
49 Correct 28 ms 5888 KB Output is correct
50 Correct 3 ms 2688 KB Output is correct
51 Correct 3 ms 2816 KB Output is correct
52 Correct 3 ms 2688 KB Output is correct
53 Correct 17 ms 4352 KB Output is correct
54 Correct 29 ms 6008 KB Output is correct
55 Correct 3 ms 2688 KB Output is correct
56 Correct 2 ms 2688 KB Output is correct
57 Correct 3 ms 2688 KB Output is correct
58 Correct 36 ms 6264 KB Output is correct
59 Correct 2 ms 2688 KB Output is correct
60 Correct 3 ms 2816 KB Output is correct
61 Correct 79 ms 7400 KB Output is correct
62 Correct 9 ms 3884 KB Output is correct
63 Correct 1663 ms 101540 KB Output is correct
64 Correct 783 ms 47672 KB Output is correct
65 Correct 208 ms 12684 KB Output is correct
66 Correct 175 ms 10500 KB Output is correct
67 Correct 234 ms 13644 KB Output is correct
68 Correct 95 ms 7544 KB Output is correct
69 Correct 152 ms 10156 KB Output is correct
70 Correct 110 ms 8340 KB Output is correct
71 Correct 1854 ms 107348 KB Output is correct
72 Correct 141 ms 8696 KB Output is correct
73 Correct 530 ms 30884 KB Output is correct
74 Correct 262 ms 13724 KB Output is correct
75 Correct 1804 ms 104972 KB Output is correct
76 Correct 58 ms 7032 KB Output is correct
77 Correct 1257 ms 74508 KB Output is correct
78 Correct 8 ms 4096 KB Output is correct
79 Correct 1971 ms 112088 KB Output is correct
80 Correct 230 ms 13004 KB Output is correct
81 Correct 197 ms 11960 KB Output is correct
82 Correct 105 ms 8232 KB Output is correct
83 Correct 29 ms 6136 KB Output is correct
84 Correct 1306 ms 82308 KB Output is correct
85 Correct 167 ms 10292 KB Output is correct
86 Correct 88 ms 7544 KB Output is correct
87 Correct 133 ms 9184 KB Output is correct
88 Correct 18 ms 5120 KB Output is correct
89 Correct 240 ms 13428 KB Output is correct
90 Correct 466 ms 23896 KB Output is correct
91 Correct 212 ms 9604 KB Output is correct
92 Correct 2228 ms 118676 KB Output is correct
93 Correct 351 ms 13664 KB Output is correct
94 Correct 1449 ms 69604 KB Output is correct
95 Correct 10 ms 3840 KB Output is correct
96 Correct 11 ms 4096 KB Output is correct
97 Correct 455 ms 17760 KB Output is correct
98 Correct 229 ms 9628 KB Output is correct
99 Correct 180 ms 10392 KB Output is correct
100 Correct 2503 ms 126816 KB Output is correct
101 Correct 1169 ms 47368 KB Output is correct
102 Correct 1100 ms 46604 KB Output is correct
103 Correct 1702 ms 87000 KB Output is correct
104 Correct 2084 ms 99880 KB Output is correct
105 Correct 129 ms 7672 KB Output is correct
106 Correct 1719 ms 87308 KB Output is correct
107 Correct 662 ms 25624 KB Output is correct
108 Correct 330 ms 12580 KB Output is correct
109 Correct 23 ms 5504 KB Output is correct
110 Correct 126 ms 7164 KB Output is correct
111 Correct 347 ms 12860 KB Output is correct
112 Correct 2479 ms 126980 KB Output is correct
113 Correct 2447 ms 127784 KB Output is correct
114 Correct 330 ms 12468 KB Output is correct
115 Correct 904 ms 45276 KB Output is correct
116 Correct 2300 ms 116328 KB Output is correct
117 Correct 1643 ms 85088 KB Output is correct
118 Correct 1489 ms 75540 KB Output is correct
119 Correct 2130 ms 103692 KB Output is correct
120 Correct 1314 ms 61460 KB Output is correct