Submission #1049171

# Submission time Handle Problem Language Result Execution time Memory
1049171 2024-08-08T14:27:46 Z beaconmc Race (IOI11_race) C++14
21 / 100
2025 ms 262144 KB
#include "race.h"
#include <bits/stdc++.h>
 
typedef long long ll;
#define FOR(i,x,y) for(ll i=x; i<y; i++)
#define FORNEG(i,x,y) for(ll i=x; i>y; i--)

using namespace std;

const ll maxn = 200005;
const ll INF = 1000000000;

vector<vector<ll>> edges[maxn];
ll par[maxn];
ll centpar[maxn];
ll depth[maxn];
ll realdepth[maxn];
ll ancc[maxn][20];
bool visited[maxn];
ll sub[maxn];

ll anc(ll a, ll x){
    if (a==0) return 0;
    if (x==0) return par[a];
    if (ancc[a][x] != -1) return ancc[a][x];
    return ancc[a][x] = anc(anc(a,x-1),x-1);
}

ll lca(ll a, ll b){
    if (depth[a] < depth[b]) swap(a,b);
    FORNEG(i,19,-1) if (depth[anc(a, i)] >= depth[b]) a = anc(a,i);
    if (a==b) return a;
    FORNEG(i,19,-1) if (anc(a,i) != anc(b,i)) a = anc(a,i), b = anc(b,i);
    return par[a];
}

void initdfs(ll a,ll p, ll d, ll dd){
    par[a] = p;
    depth[a] = d;
    realdepth[a] = dd;
    for (auto&i : edges[a]){
        if (i[0] != p) initdfs(i[0], a, d+1, dd+i[1]);
    }
}

ll centroid(ll root, ll a, ll p){
    for (auto&i : edges[a]){
        if (!visited[i[0]] && i[0] != p && sub[i[0]] > sub[root]/2) return centroid(root, i[0], a);
    }
    return a;
}
void dfs(ll a, ll p){
    sub[a] = 1;
    for (auto&i : edges[a]){

        if(i[0] != p && !visited[i[0]]) dfs(i[0], a), sub[a] += sub[i[0]];
    }
}
void build(ll a, ll p){

    dfs(a,p);
    ll cent = centroid(a, a, p);


    centpar[cent] = p;
    visited[cent] = 1;
    for (auto&i : edges[cent]){
        if (!visited[i[0]]) build(i[0], cent);
    }
}

unordered_map<ll, pair<array<ll,2>,array<ll,2>>> dists[maxn];

int best_path(int N, int K, int H[][2], int L[])
{
    FOR(i,0,maxn) par[i] = -1, centpar[i] = -1, par[i] -1, depth[i] = -1, realdepth[i] = -1,visited[i] = 0,dists[i].clear(),edges[i].clear();
    FOR(i,0,maxn)FOR(j,0,20) ancc[i][j] = -1;
    
    
    FOR(i,0,N-1){

        edges[H[i][0]].push_back({H[i][1], L[i]});
        edges[H[i][1]].push_back({H[i][0], L[i]});
    }

    
    initdfs(0,-1,0,0);
    dfs(0,-1);

    build(0,-1);



    

    FOR(i,0,N){
        ll temp = centpar[i];
        ll prev = i;
        ll cnt = 0;
        while (temp != -1){
            cnt++;

            ll idk = lca(temp,i);
            ll cur = depth[temp] + depth[i] - depth[idk]*2;
 
           
            ll dist = realdepth[temp] + realdepth[i] - realdepth[idk]*2;

            if (dists[temp].count(dist) == 0) dists[temp][dist] = make_pair(array<ll,2>{cur, prev}, array<ll,2>{INF, INF});
            else{
                array<ll,2> a,b;
                a = dists[temp][dist].first;
                b = dists[temp][dist].second;

                if (a[1] == prev){
                    a[0] = min(a[0], cur);
                }else if (b[1] == prev){
                    b[0] = min(b[0], cur);
                }else{
                    if (cur <= a[0]) b = a, a = {cur, prev};
                    else if (cur <= b[0]) b = {cur, prev};
                }
                if (a[0] > b[0]) swap(a,b);
                dists[temp][dist] = make_pair(a,b);
            }
            prev = temp;
            temp = centpar[temp];

        }
    }
    ll ans = INF;
    FOR(i,0,N){
        for (auto&k : dists[i]){
            ll req = K-k.first;
            if (req == 0) ans = min(ans, k.second.first[0]);


            if (dists[i].count(req)==0) continue;
            if (req == k.first){

                ans = min(ans, k.second.first[0]+k.second.second[0]);
            }
            else{

                // cout << k.second.first[0] << " " << k.second.first[1] << endl;
                // cout << dists[i][req].first[0] << " " << dists[i][req].first[1] << endl;

                if (k.second.first[1] != dists[i][req].first[1]) ans = min(ans, k.second.first[0] + dists[i][req].first[0]);
                if (k.second.first[1] != dists[i][req].second[1]) ans = min(ans, k.second.first[0] + dists[i][req].second[0]);
                if (k.second.second[1] != dists[i][req].first[1]) ans = min(ans, k.second.second[0] + dists[i][req].first[0]);
                if (k.second.second[1] != dists[i][req].second[1]) ans = min(ans, k.second.second[0] + dists[i][req].second[0]);
            }
        }
    }

    if (ans >= INF) return -1;
    else return ans;

}












Compilation message

race.cpp: In function 'int best_path(int, int, int (*)[2], int*)':
race.cpp:76:56: warning: right operand of comma operator has no effect [-Wunused-value]
   76 |     FOR(i,0,maxn) par[i] = -1, centpar[i] = -1, par[i] -1, depth[i] = -1, realdepth[i] = -1,visited[i] = 0,dists[i].clear(),edges[i].clear();
      |                                                 ~~~~~~~^~
# Verdict Execution time Memory Grader output
1 Correct 7 ms 58972 KB Output is correct
2 Correct 7 ms 59132 KB Output is correct
3 Correct 10 ms 58972 KB Output is correct
4 Correct 7 ms 58968 KB Output is correct
5 Correct 7 ms 59004 KB Output is correct
6 Correct 7 ms 58972 KB Output is correct
7 Correct 10 ms 59008 KB Output is correct
8 Correct 7 ms 58972 KB Output is correct
9 Correct 10 ms 58984 KB Output is correct
10 Correct 11 ms 58972 KB Output is correct
11 Correct 11 ms 58972 KB Output is correct
12 Correct 8 ms 58972 KB Output is correct
13 Correct 7 ms 58972 KB Output is correct
14 Correct 7 ms 58972 KB Output is correct
15 Correct 7 ms 58972 KB Output is correct
16 Correct 7 ms 59108 KB Output is correct
17 Correct 7 ms 58972 KB Output is correct
18 Correct 7 ms 59044 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 7 ms 58972 KB Output is correct
2 Correct 7 ms 59132 KB Output is correct
3 Correct 10 ms 58972 KB Output is correct
4 Correct 7 ms 58968 KB Output is correct
5 Correct 7 ms 59004 KB Output is correct
6 Correct 7 ms 58972 KB Output is correct
7 Correct 10 ms 59008 KB Output is correct
8 Correct 7 ms 58972 KB Output is correct
9 Correct 10 ms 58984 KB Output is correct
10 Correct 11 ms 58972 KB Output is correct
11 Correct 11 ms 58972 KB Output is correct
12 Correct 8 ms 58972 KB Output is correct
13 Correct 7 ms 58972 KB Output is correct
14 Correct 7 ms 58972 KB Output is correct
15 Correct 7 ms 58972 KB Output is correct
16 Correct 7 ms 59108 KB Output is correct
17 Correct 7 ms 58972 KB Output is correct
18 Correct 7 ms 59044 KB Output is correct
19 Correct 10 ms 58972 KB Output is correct
20 Correct 7 ms 59016 KB Output is correct
21 Correct 8 ms 59484 KB Output is correct
22 Correct 13 ms 59560 KB Output is correct
23 Correct 10 ms 59484 KB Output is correct
24 Correct 13 ms 59584 KB Output is correct
25 Correct 8 ms 59580 KB Output is correct
26 Correct 13 ms 59484 KB Output is correct
27 Correct 8 ms 59228 KB Output is correct
28 Correct 9 ms 59484 KB Output is correct
29 Correct 8 ms 59576 KB Output is correct
30 Correct 15 ms 59480 KB Output is correct
31 Correct 9 ms 59480 KB Output is correct
32 Correct 10 ms 59480 KB Output is correct
33 Correct 10 ms 59476 KB Output is correct
34 Correct 12 ms 59620 KB Output is correct
35 Correct 9 ms 59584 KB Output is correct
36 Correct 9 ms 59484 KB Output is correct
37 Correct 9 ms 59484 KB Output is correct
38 Correct 10 ms 59520 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 7 ms 58972 KB Output is correct
2 Correct 7 ms 59132 KB Output is correct
3 Correct 10 ms 58972 KB Output is correct
4 Correct 7 ms 58968 KB Output is correct
5 Correct 7 ms 59004 KB Output is correct
6 Correct 7 ms 58972 KB Output is correct
7 Correct 10 ms 59008 KB Output is correct
8 Correct 7 ms 58972 KB Output is correct
9 Correct 10 ms 58984 KB Output is correct
10 Correct 11 ms 58972 KB Output is correct
11 Correct 11 ms 58972 KB Output is correct
12 Correct 8 ms 58972 KB Output is correct
13 Correct 7 ms 58972 KB Output is correct
14 Correct 7 ms 58972 KB Output is correct
15 Correct 7 ms 58972 KB Output is correct
16 Correct 7 ms 59108 KB Output is correct
17 Correct 7 ms 58972 KB Output is correct
18 Correct 7 ms 59044 KB Output is correct
19 Correct 366 ms 98128 KB Output is correct
20 Correct 319 ms 98328 KB Output is correct
21 Correct 312 ms 96868 KB Output is correct
22 Correct 279 ms 95060 KB Output is correct
23 Correct 521 ms 127564 KB Output is correct
24 Correct 185 ms 89936 KB Output is correct
25 Correct 569 ms 94500 KB Output is correct
26 Correct 232 ms 91476 KB Output is correct
27 Correct 369 ms 140880 KB Output is correct
28 Runtime error 2025 ms 262144 KB Execution killed with signal 9
29 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 7 ms 58972 KB Output is correct
2 Correct 7 ms 59132 KB Output is correct
3 Correct 10 ms 58972 KB Output is correct
4 Correct 7 ms 58968 KB Output is correct
5 Correct 7 ms 59004 KB Output is correct
6 Correct 7 ms 58972 KB Output is correct
7 Correct 10 ms 59008 KB Output is correct
8 Correct 7 ms 58972 KB Output is correct
9 Correct 10 ms 58984 KB Output is correct
10 Correct 11 ms 58972 KB Output is correct
11 Correct 11 ms 58972 KB Output is correct
12 Correct 8 ms 58972 KB Output is correct
13 Correct 7 ms 58972 KB Output is correct
14 Correct 7 ms 58972 KB Output is correct
15 Correct 7 ms 58972 KB Output is correct
16 Correct 7 ms 59108 KB Output is correct
17 Correct 7 ms 58972 KB Output is correct
18 Correct 7 ms 59044 KB Output is correct
19 Correct 10 ms 58972 KB Output is correct
20 Correct 7 ms 59016 KB Output is correct
21 Correct 8 ms 59484 KB Output is correct
22 Correct 13 ms 59560 KB Output is correct
23 Correct 10 ms 59484 KB Output is correct
24 Correct 13 ms 59584 KB Output is correct
25 Correct 8 ms 59580 KB Output is correct
26 Correct 13 ms 59484 KB Output is correct
27 Correct 8 ms 59228 KB Output is correct
28 Correct 9 ms 59484 KB Output is correct
29 Correct 8 ms 59576 KB Output is correct
30 Correct 15 ms 59480 KB Output is correct
31 Correct 9 ms 59480 KB Output is correct
32 Correct 10 ms 59480 KB Output is correct
33 Correct 10 ms 59476 KB Output is correct
34 Correct 12 ms 59620 KB Output is correct
35 Correct 9 ms 59584 KB Output is correct
36 Correct 9 ms 59484 KB Output is correct
37 Correct 9 ms 59484 KB Output is correct
38 Correct 10 ms 59520 KB Output is correct
39 Correct 366 ms 98128 KB Output is correct
40 Correct 319 ms 98328 KB Output is correct
41 Correct 312 ms 96868 KB Output is correct
42 Correct 279 ms 95060 KB Output is correct
43 Correct 521 ms 127564 KB Output is correct
44 Correct 185 ms 89936 KB Output is correct
45 Correct 569 ms 94500 KB Output is correct
46 Correct 232 ms 91476 KB Output is correct
47 Correct 369 ms 140880 KB Output is correct
48 Runtime error 2025 ms 262144 KB Execution killed with signal 9
49 Halted 0 ms 0 KB -