oj.uz

Submission #603260

# Submission time Handle Problem Language Result Execution time Memory
603260 2022-07-23T19:29:04 Z MatijaL Race (IOI11_race) C++14
100 / 100
 2909 ms 93736 KB 
#include "race.h"
#include<bits/stdc++.h>
using namespace std;
#define mp make_pair
#define pb push_back
#define FOR(i,a,b) for(int i=a;i<=b;i++)
#define loop(i, a) FOR(i, 0, a-1)
typedef long long ll;
#define pll pair<ll, ll>
const ll maxn=300000;

set<ll> adj[maxn];
map<pll, ll> cost;
#define fs first
#define sc second

const bool DEBUG=0;

ll dist[maxn];
ll depth[maxn];
ll sz[maxn];

ll K;
ll best=1e9;

int dfs(ll u, ll p){
    sz[u]=1;
    for(auto e:adj[u]){
        if(e==p)continue;
        sz[u]+=dfs(e, u);
    }
    return sz[u];
}
set<pll> pre;
vector<pll> cur;
void dfs2(ll u, ll p, ll d){
    dist[u]=d;
    depth[u]=depth[p]+1;
    if(d==K) best=min(best, depth[u]);
    cur.pb(mp(d, depth[u]));
    for(auto e:adj[u]){
        if(e==p) continue;
        dfs2(e, u, d+cost[mp(u, e)]);
    }
}

ll centroid(ll u, ll p, ll N){
    for(auto e : adj[u]){
        if(e==p)continue;
        if(sz[e]*2 > N) return centroid(e, u, N);
    }
    return u;
}
void decompose(ll v){
    dfs(v, v);
    ll c = centroid(v, v, sz[v]);
    if(sz[v]==1) return;

    //Prestej poti
    vector<ll> rem(adj[c].begin(), adj[c].end());
    pre.clear();
    if(DEBUG) printf("Decomposing on %lld\n", c);
    for(auto e : rem){
        depth[c]=0;
        dfs2(e, c, cost[mp(c, e)]);
        if(DEBUG)printf("child %lld\n", e);
        for(auto p : cur){
            if(p.fs>K) continue;
            if(DEBUG)printf("path %lld %lld\n", p.fs, p.sc);
            auto b_p = pre.lower_bound(mp(K-p.fs, 0));
            if(b_p==pre.end()) continue;
            auto b = *b_p;
            if(b.fs+p.fs==K) {
                if(p.sc+b.sc<best){
                    //printf("centroid %d found %d+%d | %d - %d\n", c, p.fs, b.fs, p.sc, b.sc);
                    best=min(best, p.sc+b.sc);
                }

            }
        }

        for(auto _e : cur)pre.insert(_e);
        cur.clear();
    }

    //Rekurzivno razstavi
    for(auto e : rem){
        adj[c].erase(e);adj[e].erase(c);
        decompose(e);
    }
}

int best_path(int N, int _K, int H[][2], int L[]){
  FOR(i, 0, N-2){
    ll a=H[i][0], b=H[i][1];
    adj[a].insert(b);adj[b].insert(a);
    cost[mp(a,b)]=L[i];cost[mp(b, a)]=L[i];
  }
  K=_K;
  decompose(0);
  if(best==1e9)return -1;
  return best;
}

Subtask #1
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 9 ms 14420 KB Output is correct
2 Correct 10 ms 14420 KB Output is correct
3 Correct 10 ms 14448 KB Output is correct
4 Correct 9 ms 14432 KB Output is correct
5 Correct 8 ms 14436 KB Output is correct
6 Correct 8 ms 14420 KB Output is correct
7 Correct 9 ms 14420 KB Output is correct
8 Correct 9 ms 14420 KB Output is correct
9 Correct 8 ms 14432 KB Output is correct
10 Correct 7 ms 14420 KB Output is correct
11 Correct 8 ms 14420 KB Output is correct
12 Correct 7 ms 14420 KB Output is correct
13 Correct 7 ms 14420 KB Output is correct
14 Correct 7 ms 14420 KB Output is correct
15 Correct 9 ms 14420 KB Output is correct
16 Correct 9 ms 14420 KB Output is correct
17 Correct 9 ms 14420 KB Output is correct
18 Correct 9 ms 14340 KB Output is correct

Subtask #2
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 9 ms 14420 KB Output is correct
2 Correct 10 ms 14420 KB Output is correct
3 Correct 10 ms 14448 KB Output is correct
4 Correct 9 ms 14432 KB Output is correct
5 Correct 8 ms 14436 KB Output is correct
6 Correct 8 ms 14420 KB Output is correct
7 Correct 9 ms 14420 KB Output is correct
8 Correct 9 ms 14420 KB Output is correct
9 Correct 8 ms 14432 KB Output is correct
10 Correct 7 ms 14420 KB Output is correct
11 Correct 8 ms 14420 KB Output is correct
12 Correct 7 ms 14420 KB Output is correct
13 Correct 7 ms 14420 KB Output is correct
14 Correct 7 ms 14420 KB Output is correct
15 Correct 9 ms 14420 KB Output is correct
16 Correct 9 ms 14420 KB Output is correct
17 Correct 9 ms 14420 KB Output is correct
18 Correct 9 ms 14340 KB Output is correct
19 Correct 8 ms 14420 KB Output is correct
20 Correct 8 ms 14420 KB Output is correct
21 Correct 9 ms 14676 KB Output is correct
22 Correct 10 ms 14704 KB Output is correct
23 Correct 10 ms 14756 KB Output is correct
24 Correct 9 ms 14752 KB Output is correct
25 Correct 10 ms 14760 KB Output is correct
26 Correct 9 ms 14680 KB Output is correct
27 Correct 10 ms 14676 KB Output is correct
28 Correct 10 ms 14756 KB Output is correct
29 Correct 12 ms 14700 KB Output is correct
30 Correct 11 ms 14756 KB Output is correct
31 Correct 10 ms 14680 KB Output is correct
32 Correct 10 ms 14676 KB Output is correct
33 Correct 10 ms 14748 KB Output is correct
34 Correct 10 ms 14676 KB Output is correct
35 Correct 10 ms 14676 KB Output is correct
36 Correct 9 ms 14676 KB Output is correct
37 Correct 10 ms 14704 KB Output is correct
38 Correct 9 ms 14676 KB Output is correct

Subtask #3
22.0 / 22.0

# Verdict Execution time Memory Grader output
1 Correct 9 ms 14420 KB Output is correct
2 Correct 10 ms 14420 KB Output is correct
3 Correct 10 ms 14448 KB Output is correct
4 Correct 9 ms 14432 KB Output is correct
5 Correct 8 ms 14436 KB Output is correct
6 Correct 8 ms 14420 KB Output is correct
7 Correct 9 ms 14420 KB Output is correct
8 Correct 9 ms 14420 KB Output is correct
9 Correct 8 ms 14432 KB Output is correct
10 Correct 7 ms 14420 KB Output is correct
11 Correct 8 ms 14420 KB Output is correct
12 Correct 7 ms 14420 KB Output is correct
13 Correct 7 ms 14420 KB Output is correct
14 Correct 7 ms 14420 KB Output is correct
15 Correct 9 ms 14420 KB Output is correct
16 Correct 9 ms 14420 KB Output is correct
17 Correct 9 ms 14420 KB Output is correct
18 Correct 9 ms 14340 KB Output is correct
19 Correct 683 ms 40960 KB Output is correct
20 Correct 605 ms 40964 KB Output is correct
21 Correct 662 ms 40944 KB Output is correct
22 Correct 677 ms 41032 KB Output is correct
23 Correct 771 ms 40904 KB Output is correct
24 Correct 371 ms 40528 KB Output is correct
25 Correct 1146 ms 52420 KB Output is correct
26 Correct 441 ms 53476 KB Output is correct
27 Correct 698 ms 71240 KB Output is correct
28 Correct 2877 ms 93364 KB Output is correct
29 Correct 2736 ms 93492 KB Output is correct
30 Correct 755 ms 71272 KB Output is correct
31 Correct 704 ms 71260 KB Output is correct
32 Correct 1188 ms 71164 KB Output is correct
33 Correct 1871 ms 70344 KB Output is correct
34 Correct 2274 ms 82576 KB Output is correct

Subtask #4
57.0 / 57.0

# Verdict Execution time Memory Grader output
1 Correct 9 ms 14420 KB Output is correct
2 Correct 10 ms 14420 KB Output is correct
3 Correct 10 ms 14448 KB Output is correct
4 Correct 9 ms 14432 KB Output is correct
5 Correct 8 ms 14436 KB Output is correct
6 Correct 8 ms 14420 KB Output is correct
7 Correct 9 ms 14420 KB Output is correct
8 Correct 9 ms 14420 KB Output is correct
9 Correct 8 ms 14432 KB Output is correct
10 Correct 7 ms 14420 KB Output is correct
11 Correct 8 ms 14420 KB Output is correct
12 Correct 7 ms 14420 KB Output is correct
13 Correct 7 ms 14420 KB Output is correct
14 Correct 7 ms 14420 KB Output is correct
15 Correct 9 ms 14420 KB Output is correct
16 Correct 9 ms 14420 KB Output is correct
17 Correct 9 ms 14420 KB Output is correct
18 Correct 9 ms 14340 KB Output is correct
19 Correct 8 ms 14420 KB Output is correct
20 Correct 8 ms 14420 KB Output is correct
21 Correct 9 ms 14676 KB Output is correct
22 Correct 10 ms 14704 KB Output is correct
23 Correct 10 ms 14756 KB Output is correct
24 Correct 9 ms 14752 KB Output is correct
25 Correct 10 ms 14760 KB Output is correct
26 Correct 9 ms 14680 KB Output is correct
27 Correct 10 ms 14676 KB Output is correct
28 Correct 10 ms 14756 KB Output is correct
29 Correct 12 ms 14700 KB Output is correct
30 Correct 11 ms 14756 KB Output is correct
31 Correct 10 ms 14680 KB Output is correct
32 Correct 10 ms 14676 KB Output is correct
33 Correct 10 ms 14748 KB Output is correct
34 Correct 10 ms 14676 KB Output is correct
35 Correct 10 ms 14676 KB Output is correct
36 Correct 9 ms 14676 KB Output is correct
37 Correct 10 ms 14704 KB Output is correct
38 Correct 9 ms 14676 KB Output is correct
39 Correct 683 ms 40960 KB Output is correct
40 Correct 605 ms 40964 KB Output is correct
41 Correct 662 ms 40944 KB Output is correct
42 Correct 677 ms 41032 KB Output is correct
43 Correct 771 ms 40904 KB Output is correct
44 Correct 371 ms 40528 KB Output is correct
45 Correct 1146 ms 52420 KB Output is correct
46 Correct 441 ms 53476 KB Output is correct
47 Correct 698 ms 71240 KB Output is correct
48 Correct 2877 ms 93364 KB Output is correct
49 Correct 2736 ms 93492 KB Output is correct
50 Correct 755 ms 71272 KB Output is correct
51 Correct 704 ms 71260 KB Output is correct
52 Correct 1188 ms 71164 KB Output is correct
53 Correct 1871 ms 70344 KB Output is correct
54 Correct 2274 ms 82576 KB Output is correct
55 Correct 45 ms 17632 KB Output is correct
56 Correct 37 ms 17196 KB Output is correct
57 Correct 356 ms 41772 KB Output is correct
58 Correct 171 ms 41648 KB Output is correct
59 Correct 500 ms 53808 KB Output is correct
60 Correct 2742 ms 93240 KB Output is correct
61 Correct 745 ms 75288 KB Output is correct
62 Correct 662 ms 71396 KB Output is correct
63 Correct 1091 ms 71396 KB Output is correct
64 Correct 2149 ms 81688 KB Output is correct
65 Correct 1782 ms 82964 KB Output is correct
66 Correct 2909 ms 93736 KB Output is correct
67 Correct 572 ms 70260 KB Output is correct
68 Correct 1232 ms 81476 KB Output is correct
69 Correct 1274 ms 82368 KB Output is correct
70 Correct 1164 ms 78460 KB Output is correct