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Submission #255330

# Submission time Handle Problem Language Result Execution time Memory
255330 2020-07-31T17:34:09 Z model_code Relay Marathon (NOI20_relaymarathon) C++17
100 / 100
 2478 ms 150568 KB 
#include <bits/stdc++.h>
using namespace std;
constexpr int MAXN=100'000;
vector<pair<int,int>> adjlist[MAXN];
int spec[MAXN];
bool is_spec[MAXN];
pair<int,int> nearest[MAXN]; // dist, owner
int bnear[MAXN];
int main(){
    ios_base::sync_with_stdio(false);
    int n,m,k;
    cin>>n>>m>>k;
    for(int i=0;i<m;++i){
        int u,v,w;
        cin>>u>>v>>w;
        --u;--v;
        adjlist[u].emplace_back(v,w);
        adjlist[v].emplace_back(u,w);
    }
    for(int i=0;i<k;++i){
        cin>>spec[i];
        --spec[i];
        is_spec[spec[i]]=true;
    }
    int ansu, ansv, ansdist=numeric_limits<int>::max()>>1, ansother=numeric_limits<int>::max()>>1, ansu1, ansu1dist=numeric_limits<int>::max()>>1, ansu2dist=numeric_limits<int>::max()>>1, ansv1, ansv1dist=numeric_limits<int>::max()>>1, ansv2dist=numeric_limits<int>::max()>>1;
    struct pq_item{
        int index;
        int dist;
        int owner;
    };
    struct pq_item_comp{
        bool operator()(const pq_item& a, const pq_item& b) const {
            return a.dist>b.dist;
        }
    };
    struct b_item{
        int index;
        int dist;
    };
    struct b_item_comp{
        bool operator()(const b_item& a, const b_item& b) const {
            return a.dist>b.dist;
        }
    };
    {
        fill(nearest,nearest+n,make_pair(-1,-1));
        priority_queue<pq_item,vector<pq_item>,pq_item_comp> pq;
        for(int i=0;i<k;++i){
            pq.push({spec[i],0,spec[i]});
        }
        while(!pq.empty()){
            pq_item tmp = pq.top();
            pq.pop();
            if(nearest[tmp.index].first!=-1){
                if(nearest[tmp.index].second!=tmp.owner){
                    break;
                }
                continue;
            }
            nearest[tmp.index]={tmp.dist, tmp.owner};
            for(const pair<int,int>& pr : adjlist[tmp.index]) {
                if(nearest[pr.first].first==-1||nearest[pr.first].second!=tmp.owner){
                    int pdist;
                    if(nearest[pr.first].first!=-1&&(pdist=tmp.dist+pr.second+nearest[pr.first].first)<ansdist){
                        ansu=tmp.owner;
                        ansv=nearest[pr.first].second;
                        ansdist=pdist;
                    }
                    pq.push({pr.first,tmp.dist+pr.second,tmp.owner});
                }
            }
        }
    }
    {
        fill(nearest,nearest+n,make_pair(-1,-1));
        priority_queue<pq_item,vector<pq_item>,pq_item_comp> pq;
        for(int i=0;i<k;++i){
            if(spec[i]!=ansu&&spec[i]!=ansv){
                pq.push({spec[i],0,spec[i]});
            }
        }
        while(!pq.empty()){
            pq_item tmp = pq.top();
            pq.pop();
            if(nearest[tmp.index].first!=-1){
                if(nearest[tmp.index].second!=tmp.owner){
                    break;
                }
                continue;
            }
            nearest[tmp.index]={tmp.dist, tmp.owner};
            for(const pair<int,int>& pr : adjlist[tmp.index]) {
                if(nearest[pr.first].first==-1||nearest[pr.first].second!=tmp.owner){
                    if(nearest[pr.first].first!=-1)ansother=min(ansother,tmp.dist+pr.second+nearest[pr.first].first);
                    pq.push({pr.first,tmp.dist+pr.second,tmp.owner});
                }
            }
        }
    }
    {
        fill(bnear,bnear+n,-1);
        bool counter=false;
        priority_queue<b_item,vector<b_item>,b_item_comp> pq;
        pq.push({ansu,0});
        while(!pq.empty()){
            b_item tmp = pq.top();
            pq.pop();
            if(bnear[tmp.index]!=-1)continue;
            if(is_spec[tmp.index]&&tmp.index!=ansu&&tmp.index!=ansv){
                if(!counter){
                    ansu1=tmp.index;
                    ansu1dist=tmp.dist;
                    counter=true;
                }
                else{
                    ansu2dist=tmp.dist;
                    break;
                }
            }
            bnear[tmp.index]=tmp.dist;
            for(const pair<int,int>& pr : adjlist[tmp.index]) {
                if(bnear[pr.first]==-1){
                    pq.push({pr.first,tmp.dist+pr.second});
                }
            }
        }
    }
    {
        fill(bnear,bnear+n,-1);
        bool counter=false;
        priority_queue<b_item,vector<b_item>,b_item_comp> pq;
        pq.push({ansv,0});
        while(!pq.empty()){
            b_item tmp = pq.top();
            pq.pop();
            if(bnear[tmp.index]!=-1)continue;
            if(is_spec[tmp.index]&&tmp.index!=ansu&&tmp.index!=ansv){
                if(!counter){
                    ansv1=tmp.index;
                    ansv1dist=tmp.dist;
                    counter=true;
                }
                else{
                    ansv2dist=tmp.dist;
                    break;
                }
            }
            bnear[tmp.index]=tmp.dist;
            for(const pair<int,int>& pr : adjlist[tmp.index]) {
                if(bnear[pr.first]==-1){
                    pq.push({pr.first,tmp.dist+pr.second});
                }
            }
        }
    }
    cout<<min(ansdist+ansother, (ansu1!=ansv1) ? (ansu1dist+ansv1dist) : min(ansu1dist+ansv2dist, ansu2dist+ansv1dist));
    //cout<<ansu<<' '<<ansv<<' '<<ansdist<<' '<<ansother<<' '<<ansu1<<' '<<ansu1dist<<' '<<ansu2dist<<' '<<ansv1<<' '<<ansv1dist<<' '<<ansv2dist<<endl;
}

Compilation message

RelayMarathon.cpp: In function 'int main()':
RelayMarathon.cpp:109:51: warning: 'ansv' may be used uninitialized in this function [-Wmaybe-uninitialized]
             if(is_spec[tmp.index]&&tmp.index!=ansu&&tmp.index!=ansv){
                ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~^~~~~~~~~~~~~~~~~
RelayMarathon.cpp:109:34: warning: 'ansu' may be used uninitialized in this function [-Wmaybe-uninitialized]
             if(is_spec[tmp.index]&&tmp.index!=ansu&&tmp.index!=ansv){
                ~~~~~~~~~~~~~~~~~~^~~~~~~~~~~~~~~~~

Subtask #1
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 2688 KB Output is correct
2 Correct 2 ms 2816 KB Output is correct
3 Correct 3 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 2816 KB Output is correct
14 Correct 3 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 4 ms 2816 KB Output is correct
18 Correct 2 ms 2688 KB Output is correct
19 Correct 2 ms 2816 KB Output is correct
20 Correct 2 ms 2688 KB Output is correct
21 Correct 2 ms 2688 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 2 ms 2816 KB Output is correct
29 Correct 2 ms 2816 KB Output is correct
30 Correct 2 ms 2816 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 2 ms 2816 KB Output is correct
3 Correct 3 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 2816 KB Output is correct
14 Correct 3 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 4 ms 2816 KB Output is correct
18 Correct 2 ms 2688 KB Output is correct
19 Correct 2 ms 2816 KB Output is correct
20 Correct 2 ms 2688 KB Output is correct
21 Correct 2 ms 2688 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 2 ms 2816 KB Output is correct
29 Correct 2 ms 2816 KB Output is correct
30 Correct 2 ms 2816 KB Output is correct
31 Correct 2 ms 2688 KB Output is correct
32 Correct 2 ms 2688 KB Output is correct
33 Correct 2 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 3 ms 2944 KB Output is correct
37 Correct 5 ms 3252 KB Output is correct
38 Correct 3 ms 2688 KB Output is correct
39 Correct 39 ms 5440 KB Output is correct
40 Correct 9 ms 3872 KB Output is correct
41 Correct 2 ms 2688 KB Output is correct
42 Correct 9 ms 3924 KB Output is correct
43 Correct 3 ms 2944 KB Output is correct
44 Correct 2 ms 2688 KB Output is correct
45 Correct 2 ms 2688 KB Output is correct
46 Correct 53 ms 9848 KB Output is correct
47 Correct 9 ms 3348 KB Output is correct
48 Correct 27 ms 6096 KB Output is correct
49 Correct 33 ms 7448 KB Output is correct
50 Correct 2 ms 2688 KB Output is correct
51 Correct 2 ms 2944 KB Output is correct
52 Correct 3 ms 2688 KB Output is correct
53 Correct 19 ms 4148 KB Output is correct
54 Correct 29 ms 5588 KB Output is correct
55 Correct 2 ms 2688 KB Output is correct
56 Correct 2 ms 2688 KB Output is correct
57 Correct 2 ms 2688 KB Output is correct
58 Correct 43 ms 7444 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 45 ms 6776 KB Output is correct
2 Correct 7 ms 4352 KB Output is correct
3 Correct 2191 ms 135388 KB Output is correct
4 Correct 799 ms 54012 KB Output is correct
5 Correct 130 ms 9468 KB Output is correct
6 Correct 113 ms 8440 KB Output is correct
7 Correct 160 ms 10132 KB Output is correct
8 Correct 51 ms 6776 KB Output is correct
9 Correct 116 ms 8136 KB Output is correct
10 Correct 78 ms 7160 KB Output is correct
11 Correct 2478 ms 137672 KB Output is correct
12 Correct 73 ms 7392 KB Output is correct
13 Correct 655 ms 43196 KB Output is correct
14 Correct 160 ms 10904 KB Output is correct
15 Correct 2323 ms 136588 KB Output is correct
16 Correct 50 ms 6392 KB Output is correct
17 Correct 1193 ms 65188 KB Output is correct
18 Correct 7 ms 4480 KB Output is correct
19 Correct 1826 ms 84444 KB Output is correct
20 Correct 158 ms 10616 KB Output is correct
21 Correct 181 ms 9128 KB Output is correct
22 Correct 69 ms 7088 KB Output is correct
23 Correct 40 ms 5880 KB Output is correct
24 Correct 1736 ms 126724 KB Output is correct
25 Correct 93 ms 8184 KB Output is correct
26 Correct 55 ms 6660 KB Output is correct
27 Correct 77 ms 7544 KB Output is correct
28 Correct 20 ms 5120 KB Output is correct
29 Correct 134 ms 9972 KB Output is correct
30 Correct 331 ms 16816 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 2 ms 2816 KB Output is correct
3 Correct 3 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 2816 KB Output is correct
14 Correct 3 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 4 ms 2816 KB Output is correct
18 Correct 2 ms 2688 KB Output is correct
19 Correct 2 ms 2816 KB Output is correct
20 Correct 2 ms 2688 KB Output is correct
21 Correct 2 ms 2688 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 2 ms 2816 KB Output is correct
29 Correct 2 ms 2816 KB Output is correct
30 Correct 2 ms 2816 KB Output is correct
31 Correct 2 ms 2688 KB Output is correct
32 Correct 2 ms 2688 KB Output is correct
33 Correct 2 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 3 ms 2944 KB Output is correct
37 Correct 5 ms 3252 KB Output is correct
38 Correct 3 ms 2688 KB Output is correct
39 Correct 39 ms 5440 KB Output is correct
40 Correct 9 ms 3872 KB Output is correct
41 Correct 2 ms 2688 KB Output is correct
42 Correct 9 ms 3924 KB Output is correct
43 Correct 3 ms 2944 KB Output is correct
44 Correct 2 ms 2688 KB Output is correct
45 Correct 2 ms 2688 KB Output is correct
46 Correct 53 ms 9848 KB Output is correct
47 Correct 9 ms 3348 KB Output is correct
48 Correct 27 ms 6096 KB Output is correct
49 Correct 33 ms 7448 KB Output is correct
50 Correct 2 ms 2688 KB Output is correct
51 Correct 2 ms 2944 KB Output is correct
52 Correct 3 ms 2688 KB Output is correct
53 Correct 19 ms 4148 KB Output is correct
54 Correct 29 ms 5588 KB Output is correct
55 Correct 2 ms 2688 KB Output is correct
56 Correct 2 ms 2688 KB Output is correct
57 Correct 2 ms 2688 KB Output is correct
58 Correct 43 ms 7444 KB Output is correct
59 Correct 2 ms 2688 KB Output is correct
60 Correct 3 ms 2816 KB Output is correct
61 Correct 45 ms 6776 KB Output is correct
62 Correct 7 ms 4352 KB Output is correct
63 Correct 2191 ms 135388 KB Output is correct
64 Correct 799 ms 54012 KB Output is correct
65 Correct 130 ms 9468 KB Output is correct
66 Correct 113 ms 8440 KB Output is correct
67 Correct 160 ms 10132 KB Output is correct
68 Correct 51 ms 6776 KB Output is correct
69 Correct 116 ms 8136 KB Output is correct
70 Correct 78 ms 7160 KB Output is correct
71 Correct 2478 ms 137672 KB Output is correct
72 Correct 73 ms 7392 KB Output is correct
73 Correct 655 ms 43196 KB Output is correct
74 Correct 160 ms 10904 KB Output is correct
75 Correct 2323 ms 136588 KB Output is correct
76 Correct 50 ms 6392 KB Output is correct
77 Correct 1193 ms 65188 KB Output is correct
78 Correct 7 ms 4480 KB Output is correct
79 Correct 1826 ms 84444 KB Output is correct
80 Correct 158 ms 10616 KB Output is correct
81 Correct 181 ms 9128 KB Output is correct
82 Correct 69 ms 7088 KB Output is correct
83 Correct 40 ms 5880 KB Output is correct
84 Correct 1736 ms 126724 KB Output is correct
85 Correct 93 ms 8184 KB Output is correct
86 Correct 55 ms 6660 KB Output is correct
87 Correct 77 ms 7544 KB Output is correct
88 Correct 20 ms 5120 KB Output is correct
89 Correct 134 ms 9972 KB Output is correct
90 Correct 331 ms 16816 KB Output is correct
91 Correct 124 ms 8212 KB Output is correct
92 Correct 2468 ms 143552 KB Output is correct
93 Correct 155 ms 10296 KB Output is correct
94 Correct 1020 ms 44224 KB Output is correct
95 Correct 9 ms 4480 KB Output is correct
96 Correct 9 ms 4608 KB Output is correct
97 Correct 373 ms 16896 KB Output is correct
98 Correct 120 ms 7928 KB Output is correct
99 Correct 93 ms 8312 KB Output is correct
100 Correct 1878 ms 121176 KB Output is correct
101 Correct 810 ms 30052 KB Output is correct
102 Correct 613 ms 39052 KB Output is correct
103 Correct 1676 ms 128616 KB Output is correct
104 Correct 2116 ms 80728 KB Output is correct
105 Correct 61 ms 6776 KB Output is correct
106 Correct 1532 ms 129008 KB Output is correct
107 Correct 350 ms 21884 KB Output is correct
108 Correct 110 ms 9592 KB Output is correct
109 Correct 19 ms 5504 KB Output is correct
110 Correct 37 ms 6520 KB Output is correct
111 Correct 194 ms 9976 KB Output is correct
112 Correct 2265 ms 149940 KB Output is correct
113 Correct 2310 ms 150568 KB Output is correct
114 Correct 155 ms 10856 KB Output is correct
115 Correct 850 ms 71808 KB Output is correct
116 Correct 2247 ms 141936 KB Output is correct
117 Correct 1558 ms 127420 KB Output is correct
118 Correct 1357 ms 95080 KB Output is correct
119 Correct 1803 ms 103960 KB Output is correct
120 Correct 954 ms 38684 KB Output is correct