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Submission #903871

# Submission time Handle Problem Language Result Execution time Memory
903871 2024-01-11T12:47:03 Z pcc Relay Marathon (NOI20_relaymarathon) C++14
100 / 100
 3117 ms 149796 KB 
#include <bits/stdc++.h>
using namespace std;

#define ll long long
#define pll pair<ll,ll>
#define pii pair<int,int>
#define fs first
#define sc second
#define tlll tuple<ll,ll,ll>
#define tiii tuple<int,int,int>


const int inf = 1e9+10;
const int mxn = 1e5+10;
vector<pii> paths[mxn];
vector<pii> dist[mxn];
priority_queue<tiii,vector<tiii>,greater<tiii>> pq;
ll N,M,K;
int sp[mxn];
vector<pair<int,pii>> v;
int ptr[mxn];
multiset<int> st;
set<pii> st2;

void DIJKSTRA(){
	for(int i = 1;i<=K;i++){
		int now = sp[i];
		dist[now].push_back(make_pair(0,now));
		sort(dist[now].begin(),dist[now].end());
		pq.push(make_tuple(0,now,now));
	}
	while(!pq.empty()){
		int d = get<0>(pq.top()),now = get<1>(pq.top()),f = get<2>(pq.top());
		pq.pop();
		bool flag = false;
		for(auto &i:dist[now]){
			if(i == make_pair(d,f))flag = true;
		}
		if(!flag)continue;
		for(auto nxt:paths[now]){
			if(dist[nxt.fs].size()<5||dist[nxt.fs].back().fs>=d+nxt.sc){
				bool can = true;
				int idx = -1;
				for(int i = 0;i<dist[nxt.fs].size();i++){
					if(dist[nxt.fs][i].sc == f){
						if(dist[nxt.fs][i].fs<=d+nxt.sc)can = false;
						else idx = i;
					}
				}
				if(!can)continue;
				if(idx == -1){
					dist[nxt.fs].push_back({d+nxt.sc,f});
				}
				else{
					dist[nxt.fs][idx].fs = d+nxt.sc;
				}
				sort(dist[nxt.fs].begin(),dist[nxt.fs].end());
				pq.push(make_tuple(d+nxt.sc,nxt.fs,f));
				while(dist[nxt.fs].size()>5)dist[nxt.fs].pop_back();
			}
		}
	}
	return;
}

int main(){
	ios::sync_with_stdio(0);cin.tie(0);cout.tie(0);
	cin>>N>>M>>K;
	for(int i = 1;i<=M;i++){
		int a,b,c;
		cin>>a>>b>>c;
		paths[a].push_back(make_pair(b,c));
		paths[b].push_back(make_pair(a,c));
	}
	for(int i = 1;i<=K;i++)cin>>sp[i];
	DIJKSTRA();
	/*
	for(int i = 1;i<=K;i++){
		cout<<sp[i]<<":";for(auto &j:dist[sp[i]])cout<<j.fs<<','<<j.sc<<' ';cout<<endl;
	}

   */
	for(int i = 1;i<=K;i++){
		for(auto &j:dist[sp[i]]){
			if(j.sc == sp[i])continue;
			v.push_back(make_pair(j.fs,make_pair(sp[i],j.sc)));
		}
		ptr[sp[i]] = 1;
	}
	sort(v.begin(),v.end());
	int ans = 1e9;
	for(auto &i:v){
		int a = i.sc.fs,b = i.sc.sc,d = i.fs;
		for(int i = 1;i<ptr[a];i++)st.erase(dist[a][i].fs);
		for(int i = 1;i<ptr[b];i++)st.erase(dist[b][i].fs);
		if(!st.empty())ans = min(ans,*st.begin()+d);
		for(int i = 1;i<ptr[a];i++)st.insert(dist[a][i].fs);
		for(int i = 1;i<ptr[b];i++)st.insert(dist[b][i].fs);
		ptr[a]++;
		st.insert(d);
	}
	cout<<ans;
}

Compilation message

RelayMarathon.cpp: In function 'void DIJKSTRA()':
RelayMarathon.cpp:44:20: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::pair<int, int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   44 |     for(int i = 0;i<dist[nxt.fs].size();i++){
      |                   ~^~~~~~~~~~~~~~~~~~~~

Subtask #1
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 5720 KB Output is correct
2 Correct 3 ms 5736 KB Output is correct
3 Correct 2 ms 5736 KB Output is correct
4 Correct 2 ms 5736 KB Output is correct
5 Correct 2 ms 5736 KB Output is correct
6 Correct 2 ms 5736 KB Output is correct
7 Correct 2 ms 5736 KB Output is correct
8 Correct 3 ms 5736 KB Output is correct
9 Correct 2 ms 5736 KB Output is correct
10 Correct 2 ms 5736 KB Output is correct
11 Correct 2 ms 5736 KB Output is correct
12 Correct 2 ms 5736 KB Output is correct
13 Correct 2 ms 5796 KB Output is correct
14 Correct 2 ms 5792 KB Output is correct
15 Correct 2 ms 5736 KB Output is correct
16 Correct 2 ms 5736 KB Output is correct
17 Correct 2 ms 5724 KB Output is correct
18 Correct 2 ms 5780 KB Output is correct
19 Correct 3 ms 5724 KB Output is correct
20 Correct 2 ms 5724 KB Output is correct
21 Correct 2 ms 5724 KB Output is correct
22 Correct 2 ms 5776 KB Output is correct
23 Correct 2 ms 5724 KB Output is correct
24 Correct 2 ms 5724 KB Output is correct
25 Correct 2 ms 5724 KB Output is correct
26 Correct 2 ms 5724 KB Output is correct
27 Correct 2 ms 5724 KB Output is correct
28 Correct 3 ms 5724 KB Output is correct
29 Correct 2 ms 5724 KB Output is correct
30 Correct 2 ms 5724 KB Output is correct

Subtask #2
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 5720 KB Output is correct
2 Correct 3 ms 5736 KB Output is correct
3 Correct 2 ms 5736 KB Output is correct
4 Correct 2 ms 5736 KB Output is correct
5 Correct 2 ms 5736 KB Output is correct
6 Correct 2 ms 5736 KB Output is correct
7 Correct 2 ms 5736 KB Output is correct
8 Correct 3 ms 5736 KB Output is correct
9 Correct 2 ms 5736 KB Output is correct
10 Correct 2 ms 5736 KB Output is correct
11 Correct 2 ms 5736 KB Output is correct
12 Correct 2 ms 5736 KB Output is correct
13 Correct 2 ms 5796 KB Output is correct
14 Correct 2 ms 5792 KB Output is correct
15 Correct 2 ms 5736 KB Output is correct
16 Correct 2 ms 5736 KB Output is correct
17 Correct 2 ms 5724 KB Output is correct
18 Correct 2 ms 5780 KB Output is correct
19 Correct 3 ms 5724 KB Output is correct
20 Correct 2 ms 5724 KB Output is correct
21 Correct 2 ms 5724 KB Output is correct
22 Correct 2 ms 5776 KB Output is correct
23 Correct 2 ms 5724 KB Output is correct
24 Correct 2 ms 5724 KB Output is correct
25 Correct 2 ms 5724 KB Output is correct
26 Correct 2 ms 5724 KB Output is correct
27 Correct 2 ms 5724 KB Output is correct
28 Correct 3 ms 5724 KB Output is correct
29 Correct 2 ms 5724 KB Output is correct
30 Correct 2 ms 5724 KB Output is correct
31 Correct 3 ms 5724 KB Output is correct
32 Correct 3 ms 5780 KB Output is correct
33 Correct 2 ms 5724 KB Output is correct
34 Correct 2 ms 5772 KB Output is correct
35 Correct 2 ms 5724 KB Output is correct
36 Correct 5 ms 5980 KB Output is correct
37 Correct 6 ms 5980 KB Output is correct
38 Correct 3 ms 5724 KB Output is correct
39 Correct 30 ms 9508 KB Output is correct
40 Correct 8 ms 6504 KB Output is correct
41 Correct 3 ms 5736 KB Output is correct
42 Correct 9 ms 6568 KB Output is correct
43 Correct 6 ms 5980 KB Output is correct
44 Correct 3 ms 5736 KB Output is correct
45 Correct 2 ms 5724 KB Output is correct
46 Correct 24 ms 9564 KB Output is correct
47 Correct 7 ms 6236 KB Output is correct
48 Correct 19 ms 9052 KB Output is correct
49 Correct 21 ms 9308 KB Output is correct
50 Correct 2 ms 5724 KB Output is correct
51 Correct 3 ms 5724 KB Output is correct
52 Correct 2 ms 5724 KB Output is correct
53 Correct 13 ms 7708 KB Output is correct
54 Correct 21 ms 9308 KB Output is correct
55 Correct 3 ms 5724 KB Output is correct
56 Correct 2 ms 5724 KB Output is correct
57 Correct 2 ms 5724 KB Output is correct
58 Correct 30 ms 9564 KB Output is correct
59 Correct 2 ms 5724 KB Output is correct
60 Correct 4 ms 5960 KB Output is correct

Subtask #3
25.0 / 25.0

# Verdict Execution time Memory Grader output
1 Correct 138 ms 13816 KB Output is correct
2 Correct 5 ms 6248 KB Output is correct
3 Correct 2689 ms 113732 KB Output is correct
4 Correct 1584 ms 63548 KB Output is correct
5 Correct 517 ms 23744 KB Output is correct
6 Correct 422 ms 21664 KB Output is correct
7 Correct 545 ms 28040 KB Output is correct
8 Correct 189 ms 14372 KB Output is correct
9 Correct 352 ms 20000 KB Output is correct
10 Correct 264 ms 16888 KB Output is correct
11 Correct 2854 ms 114740 KB Output is correct
12 Correct 237 ms 18316 KB Output is correct
13 Correct 1364 ms 57564 KB Output is correct
14 Correct 514 ms 27824 KB Output is correct
15 Correct 2773 ms 123336 KB Output is correct
16 Correct 85 ms 12372 KB Output is correct
17 Correct 2065 ms 95312 KB Output is correct
18 Correct 7 ms 6464 KB Output is correct
19 Correct 2989 ms 115132 KB Output is correct
20 Correct 545 ms 27240 KB Output is correct
21 Correct 423 ms 22860 KB Output is correct
22 Correct 211 ms 16280 KB Output is correct
23 Correct 15 ms 8284 KB Output is correct
24 Correct 2337 ms 100388 KB Output is correct
25 Correct 328 ms 21448 KB Output is correct
26 Correct 123 ms 14280 KB Output is correct
27 Correct 293 ms 18224 KB Output is correct
28 Correct 14 ms 7260 KB Output is correct
29 Correct 522 ms 26044 KB Output is correct
30 Correct 806 ms 41380 KB Output is correct

Subtask #4
58.0 / 58.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 5720 KB Output is correct
2 Correct 3 ms 5736 KB Output is correct
3 Correct 2 ms 5736 KB Output is correct
4 Correct 2 ms 5736 KB Output is correct
5 Correct 2 ms 5736 KB Output is correct
6 Correct 2 ms 5736 KB Output is correct
7 Correct 2 ms 5736 KB Output is correct
8 Correct 3 ms 5736 KB Output is correct
9 Correct 2 ms 5736 KB Output is correct
10 Correct 2 ms 5736 KB Output is correct
11 Correct 2 ms 5736 KB Output is correct
12 Correct 2 ms 5736 KB Output is correct
13 Correct 2 ms 5796 KB Output is correct
14 Correct 2 ms 5792 KB Output is correct
15 Correct 2 ms 5736 KB Output is correct
16 Correct 2 ms 5736 KB Output is correct
17 Correct 2 ms 5724 KB Output is correct
18 Correct 2 ms 5780 KB Output is correct
19 Correct 3 ms 5724 KB Output is correct
20 Correct 2 ms 5724 KB Output is correct
21 Correct 2 ms 5724 KB Output is correct
22 Correct 2 ms 5776 KB Output is correct
23 Correct 2 ms 5724 KB Output is correct
24 Correct 2 ms 5724 KB Output is correct
25 Correct 2 ms 5724 KB Output is correct
26 Correct 2 ms 5724 KB Output is correct
27 Correct 2 ms 5724 KB Output is correct
28 Correct 3 ms 5724 KB Output is correct
29 Correct 2 ms 5724 KB Output is correct
30 Correct 2 ms 5724 KB Output is correct
31 Correct 3 ms 5724 KB Output is correct
32 Correct 3 ms 5780 KB Output is correct
33 Correct 2 ms 5724 KB Output is correct
34 Correct 2 ms 5772 KB Output is correct
35 Correct 2 ms 5724 KB Output is correct
36 Correct 5 ms 5980 KB Output is correct
37 Correct 6 ms 5980 KB Output is correct
38 Correct 3 ms 5724 KB Output is correct
39 Correct 30 ms 9508 KB Output is correct
40 Correct 8 ms 6504 KB Output is correct
41 Correct 3 ms 5736 KB Output is correct
42 Correct 9 ms 6568 KB Output is correct
43 Correct 6 ms 5980 KB Output is correct
44 Correct 3 ms 5736 KB Output is correct
45 Correct 2 ms 5724 KB Output is correct
46 Correct 24 ms 9564 KB Output is correct
47 Correct 7 ms 6236 KB Output is correct
48 Correct 19 ms 9052 KB Output is correct
49 Correct 21 ms 9308 KB Output is correct
50 Correct 2 ms 5724 KB Output is correct
51 Correct 3 ms 5724 KB Output is correct
52 Correct 2 ms 5724 KB Output is correct
53 Correct 13 ms 7708 KB Output is correct
54 Correct 21 ms 9308 KB Output is correct
55 Correct 3 ms 5724 KB Output is correct
56 Correct 2 ms 5724 KB Output is correct
57 Correct 2 ms 5724 KB Output is correct
58 Correct 30 ms 9564 KB Output is correct
59 Correct 2 ms 5724 KB Output is correct
60 Correct 4 ms 5960 KB Output is correct
61 Correct 138 ms 13816 KB Output is correct
62 Correct 5 ms 6248 KB Output is correct
63 Correct 2689 ms 113732 KB Output is correct
64 Correct 1584 ms 63548 KB Output is correct
65 Correct 517 ms 23744 KB Output is correct
66 Correct 422 ms 21664 KB Output is correct
67 Correct 545 ms 28040 KB Output is correct
68 Correct 189 ms 14372 KB Output is correct
69 Correct 352 ms 20000 KB Output is correct
70 Correct 264 ms 16888 KB Output is correct
71 Correct 2854 ms 114740 KB Output is correct
72 Correct 237 ms 18316 KB Output is correct
73 Correct 1364 ms 57564 KB Output is correct
74 Correct 514 ms 27824 KB Output is correct
75 Correct 2773 ms 123336 KB Output is correct
76 Correct 85 ms 12372 KB Output is correct
77 Correct 2065 ms 95312 KB Output is correct
78 Correct 7 ms 6464 KB Output is correct
79 Correct 2989 ms 115132 KB Output is correct
80 Correct 545 ms 27240 KB Output is correct
81 Correct 423 ms 22860 KB Output is correct
82 Correct 211 ms 16280 KB Output is correct
83 Correct 15 ms 8284 KB Output is correct
84 Correct 2337 ms 100388 KB Output is correct
85 Correct 328 ms 21448 KB Output is correct
86 Correct 123 ms 14280 KB Output is correct
87 Correct 293 ms 18224 KB Output is correct
88 Correct 14 ms 7260 KB Output is correct
89 Correct 522 ms 26044 KB Output is correct
90 Correct 806 ms 41380 KB Output is correct
91 Correct 396 ms 19872 KB Output is correct
92 Correct 2934 ms 145372 KB Output is correct
93 Correct 475 ms 28512 KB Output is correct
94 Correct 1716 ms 96888 KB Output is correct
95 Correct 6 ms 6236 KB Output is correct
96 Correct 7 ms 6420 KB Output is correct
97 Correct 753 ms 38172 KB Output is correct
98 Correct 353 ms 19880 KB Output is correct
99 Correct 366 ms 21568 KB Output is correct
100 Correct 2949 ms 149104 KB Output is correct
101 Correct 1304 ms 64696 KB Output is correct
102 Correct 1368 ms 65416 KB Output is correct
103 Correct 2360 ms 114748 KB Output is correct
104 Correct 2385 ms 125416 KB Output is correct
105 Correct 113 ms 15116 KB Output is correct
106 Correct 2150 ms 115484 KB Output is correct
107 Correct 758 ms 44964 KB Output is correct
108 Correct 408 ms 24816 KB Output is correct
109 Correct 17 ms 7772 KB Output is correct
110 Correct 89 ms 13228 KB Output is correct
111 Correct 437 ms 25328 KB Output is correct
112 Correct 3117 ms 148868 KB Output is correct
113 Correct 2881 ms 149796 KB Output is correct
114 Correct 452 ms 24252 KB Output is correct
115 Correct 1485 ms 73152 KB Output is correct
116 Correct 2844 ms 144668 KB Output is correct
117 Correct 2125 ms 113560 KB Output is correct
118 Correct 1926 ms 102320 KB Output is correct
119 Correct 2554 ms 129280 KB Output is correct
120 Correct 1741 ms 91200 KB Output is correct