Submission #1049243

# Submission time Handle Problem Language Result Execution time Memory
1049243 2024-08-08T15:23:46 Z beaconmc Race (IOI11_race) C++14
43 / 100
3000 ms 196620 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);
    }
}

vector<array<ll,3>> 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;

            dists[temp].push_back({prev, dist, cur });
            
            prev = temp;
            temp = centpar[temp];
        }
    }
    ll ans = INF;
    FOR(i,0,N){
        sort(dists[i].begin(), dists[i].end());
        unordered_map<ll, ll> sus;
        sus[0] = 0;
        vector<array<ll, 3>> cache;
        if (dists[i].size()) cache.push_back(dists[i][0]);
        FOR(j,1,dists[i].size()){
            if (dists[i][j][0] != dists[i][j-1][0]){
                for (auto&k : cache){
                    if (sus.count(k[1])) sus[k[1]] = min(sus[k[1]], k[2]);
                    else sus[k[1]] = k[2];
                }
            }
            ll req = K - dists[i][j][1];
            if (sus.count(req)) ans = min(ans, sus[req] + dists[i][j][2]);
            cache.push_back(dists[i][j]);
        }
    }

    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();
      |                                                 ~~~~~~~^~
race.cpp:5:33: warning: comparison of integer expressions of different signedness: 'll' {aka 'long long int'} and 'std::vector<std::array<long long int, 3> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
    5 | #define FOR(i,x,y) for(ll i=x; i<y; i++)
......
  122 |         FOR(j,1,dists[i].size()){
      |             ~~~~~~~~~~~~~~~~~~~  
race.cpp:122:9: note: in expansion of macro 'FOR'
  122 |         FOR(j,1,dists[i].size()){
      |         ^~~
# Verdict Execution time Memory Grader output
1 Correct 6 ms 52828 KB Output is correct
2 Correct 6 ms 52828 KB Output is correct
3 Correct 5 ms 52828 KB Output is correct
4 Correct 6 ms 52828 KB Output is correct
5 Correct 6 ms 52828 KB Output is correct
6 Correct 6 ms 52660 KB Output is correct
7 Correct 6 ms 52828 KB Output is correct
8 Correct 6 ms 52724 KB Output is correct
9 Correct 7 ms 52764 KB Output is correct
10 Correct 6 ms 52828 KB Output is correct
11 Correct 6 ms 52828 KB Output is correct
12 Correct 6 ms 52828 KB Output is correct
13 Correct 6 ms 52744 KB Output is correct
14 Correct 6 ms 52828 KB Output is correct
15 Correct 6 ms 52828 KB Output is correct
16 Correct 7 ms 52828 KB Output is correct
17 Correct 6 ms 52828 KB Output is correct
18 Correct 6 ms 52828 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 6 ms 52828 KB Output is correct
2 Correct 6 ms 52828 KB Output is correct
3 Correct 5 ms 52828 KB Output is correct
4 Correct 6 ms 52828 KB Output is correct
5 Correct 6 ms 52828 KB Output is correct
6 Correct 6 ms 52660 KB Output is correct
7 Correct 6 ms 52828 KB Output is correct
8 Correct 6 ms 52724 KB Output is correct
9 Correct 7 ms 52764 KB Output is correct
10 Correct 6 ms 52828 KB Output is correct
11 Correct 6 ms 52828 KB Output is correct
12 Correct 6 ms 52828 KB Output is correct
13 Correct 6 ms 52744 KB Output is correct
14 Correct 6 ms 52828 KB Output is correct
15 Correct 6 ms 52828 KB Output is correct
16 Correct 7 ms 52828 KB Output is correct
17 Correct 6 ms 52828 KB Output is correct
18 Correct 6 ms 52828 KB Output is correct
19 Correct 6 ms 52572 KB Output is correct
20 Correct 6 ms 52656 KB Output is correct
21 Correct 7 ms 53080 KB Output is correct
22 Correct 8 ms 53084 KB Output is correct
23 Correct 8 ms 53084 KB Output is correct
24 Correct 8 ms 53084 KB Output is correct
25 Correct 8 ms 53084 KB Output is correct
26 Correct 8 ms 53084 KB Output is correct
27 Correct 8 ms 53084 KB Output is correct
28 Correct 7 ms 53084 KB Output is correct
29 Correct 7 ms 53084 KB Output is correct
30 Correct 7 ms 53084 KB Output is correct
31 Correct 7 ms 53056 KB Output is correct
32 Correct 8 ms 53084 KB Output is correct
33 Correct 7 ms 53084 KB Output is correct
34 Correct 7 ms 52996 KB Output is correct
35 Correct 8 ms 53084 KB Output is correct
36 Correct 7 ms 53084 KB Output is correct
37 Correct 8 ms 52976 KB Output is correct
38 Correct 9 ms 53084 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 6 ms 52828 KB Output is correct
2 Correct 6 ms 52828 KB Output is correct
3 Correct 5 ms 52828 KB Output is correct
4 Correct 6 ms 52828 KB Output is correct
5 Correct 6 ms 52828 KB Output is correct
6 Correct 6 ms 52660 KB Output is correct
7 Correct 6 ms 52828 KB Output is correct
8 Correct 6 ms 52724 KB Output is correct
9 Correct 7 ms 52764 KB Output is correct
10 Correct 6 ms 52828 KB Output is correct
11 Correct 6 ms 52828 KB Output is correct
12 Correct 6 ms 52828 KB Output is correct
13 Correct 6 ms 52744 KB Output is correct
14 Correct 6 ms 52828 KB Output is correct
15 Correct 6 ms 52828 KB Output is correct
16 Correct 7 ms 52828 KB Output is correct
17 Correct 6 ms 52828 KB Output is correct
18 Correct 6 ms 52828 KB Output is correct
19 Correct 324 ms 101764 KB Output is correct
20 Correct 341 ms 101300 KB Output is correct
21 Correct 321 ms 100348 KB Output is correct
22 Correct 287 ms 96640 KB Output is correct
23 Correct 348 ms 108792 KB Output is correct
24 Correct 178 ms 89852 KB Output is correct
25 Correct 541 ms 119380 KB Output is correct
26 Correct 351 ms 120412 KB Output is correct
27 Correct 906 ms 125680 KB Output is correct
28 Correct 1538 ms 196620 KB Output is correct
29 Correct 1580 ms 196256 KB Output is correct
30 Correct 931 ms 124352 KB Output is correct
31 Correct 920 ms 123892 KB Output is correct
32 Correct 1070 ms 123800 KB Output is correct
33 Correct 1103 ms 170560 KB Output is correct
34 Correct 1239 ms 169604 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 6 ms 52828 KB Output is correct
2 Correct 6 ms 52828 KB Output is correct
3 Correct 5 ms 52828 KB Output is correct
4 Correct 6 ms 52828 KB Output is correct
5 Correct 6 ms 52828 KB Output is correct
6 Correct 6 ms 52660 KB Output is correct
7 Correct 6 ms 52828 KB Output is correct
8 Correct 6 ms 52724 KB Output is correct
9 Correct 7 ms 52764 KB Output is correct
10 Correct 6 ms 52828 KB Output is correct
11 Correct 6 ms 52828 KB Output is correct
12 Correct 6 ms 52828 KB Output is correct
13 Correct 6 ms 52744 KB Output is correct
14 Correct 6 ms 52828 KB Output is correct
15 Correct 6 ms 52828 KB Output is correct
16 Correct 7 ms 52828 KB Output is correct
17 Correct 6 ms 52828 KB Output is correct
18 Correct 6 ms 52828 KB Output is correct
19 Correct 6 ms 52572 KB Output is correct
20 Correct 6 ms 52656 KB Output is correct
21 Correct 7 ms 53080 KB Output is correct
22 Correct 8 ms 53084 KB Output is correct
23 Correct 8 ms 53084 KB Output is correct
24 Correct 8 ms 53084 KB Output is correct
25 Correct 8 ms 53084 KB Output is correct
26 Correct 8 ms 53084 KB Output is correct
27 Correct 8 ms 53084 KB Output is correct
28 Correct 7 ms 53084 KB Output is correct
29 Correct 7 ms 53084 KB Output is correct
30 Correct 7 ms 53084 KB Output is correct
31 Correct 7 ms 53056 KB Output is correct
32 Correct 8 ms 53084 KB Output is correct
33 Correct 7 ms 53084 KB Output is correct
34 Correct 7 ms 52996 KB Output is correct
35 Correct 8 ms 53084 KB Output is correct
36 Correct 7 ms 53084 KB Output is correct
37 Correct 8 ms 52976 KB Output is correct
38 Correct 9 ms 53084 KB Output is correct
39 Correct 324 ms 101764 KB Output is correct
40 Correct 341 ms 101300 KB Output is correct
41 Correct 321 ms 100348 KB Output is correct
42 Correct 287 ms 96640 KB Output is correct
43 Correct 348 ms 108792 KB Output is correct
44 Correct 178 ms 89852 KB Output is correct
45 Correct 541 ms 119380 KB Output is correct
46 Correct 351 ms 120412 KB Output is correct
47 Correct 906 ms 125680 KB Output is correct
48 Correct 1538 ms 196620 KB Output is correct
49 Correct 1580 ms 196256 KB Output is correct
50 Correct 931 ms 124352 KB Output is correct
51 Correct 920 ms 123892 KB Output is correct
52 Correct 1070 ms 123800 KB Output is correct
53 Correct 1103 ms 170560 KB Output is correct
54 Correct 1239 ms 169604 KB Output is correct
55 Correct 31 ms 56872 KB Output is correct
56 Correct 30 ms 56972 KB Output is correct
57 Correct 269 ms 109252 KB Output is correct
58 Execution timed out 3077 ms 73476 KB Time limit exceeded
59 Halted 0 ms 0 KB -