Submission #304218

# Submission time Handle Problem Language Result Execution time Memory
304218 2020-09-21T04:35:27 Z jhnah917 Split the Attractions (IOI19_split) C++14
18 / 100
247 ms 22516 KB
#ifndef LOCAL
#include "split.h"
#endif
#include <bits/stdc++.h>
#define x first
#define y second
#define all(v) v.begin(), v.end()
#define compress(v) sort(all(v)), v.erase(unique(all(v)), v.end())
using namespace std;

typedef pair<int, int> p;

namespace UnionFind{
    int par[101010], w[101010];
    void uf_init(){ iota(par, par+101010, 0); fill(w, w+101010, 1); }
    int uf_find(int v){ return v == par[v] ? v : par[v] = uf_find(par[v]); }
    bool uf_merge(int u, int v){
        u = uf_find(u); v = uf_find(v);
        if(u == v) return 0;
        par[u] = v; w[v] += w[u]; return 1;
    }
}
using namespace UnionFind;

int n, m, a, b, c, sz[101010], chk[101010], use_at_answer[101010]; p tmp[3];
vector<int> comp_graph[101010], tree[101010], all_graph[101010], dfn;

int dfs_get_size(int v, int t = -1){
    sz[v] = 1;
    for(auto i : tree[v]) if(i != t) sz[v] += dfs_get_size(i, v);
    return sz[v];
}

int dfs_get_centroid(int v, int t = -1){
    for(auto i : tree[v]) if(i != t && sz[i]*2 >= n) return dfs_get_centroid(i, v);
    return v;
}

void dfs_on_spanning_tree(int v, int t = -1){
    dfn.push_back(v);
    for(auto i : tree[v]) if(i != t) uf_merge(v, i), dfs_on_spanning_tree(i, v);
}

void dfs_on_compressed_graph(int v){
    chk[v] = 1; dfn.push_back(v);
    for(auto i : comp_graph[v]) if(!chk[i]) dfs_on_compressed_graph(i);
}

void dfs_on_all_graph(int v){
    chk[v] = 1; dfn.push_back(v);
    for(auto i : all_graph[v]) if(!chk[i] && use_at_answer[v] == use_at_answer[i]) dfs_on_all_graph(i);
}

vector<int> get_answer(){
    vector<int> ret(n, tmp[2].y);
    memset(chk, 0, sizeof chk);
    for(int i=0; i<n; i++) if(!chk[i]) {
        dfn.clear(); dfs_on_all_graph(i);
        if(use_at_answer[i]) for(int j=0; j < tmp[0].x; j++) ret[dfn[j]] = tmp[0].y;
        else for(int j=0; j<tmp[1].x; j++) ret[dfn[j]] = tmp[1].y;
    }
    return ret;
}

vector<int> attempt(int cent, const vector<int> &P, const vector<int> &Q){
    for(int i=0; i<n; i++) use_at_answer[i] = 0;
    for(int i=0; i<n; i++) comp_graph[i].clear();
    for(int i=0; i<m; i++){
        int s = P[i], e = Q[i];
        if(s == cent || e == cent || uf_find(s) == uf_find(e)) continue;
        comp_graph[uf_find(s)].push_back(uf_find(e));
        comp_graph[uf_find(e)].push_back(uf_find(s));
    }
    for(int i=0; i<n; i++) if(i == uf_find(i)) compress(comp_graph[i]);
    
    for(int i=0; i<n; i++) if(!chk[i] && i == uf_find(i) && i != cent) {
        dfn.clear(); dfs_on_compressed_graph(i); int all = 0;
        for(auto j : dfn){
            use_at_answer[j] = 1; all += w[uf_find(j)];
            if(all >= tmp[0].x) break;
        }
        if(all >= tmp[0].x) return get_answer();
        for(auto j : dfn) use_at_answer[j] = 0;
    }
    return vector<int>(n, 0);
}

vector<int> find_split(int N, int A, int B, int C, vector<int> P, vector<int> Q){
    n = N; m = P.size(); a = A; b = B; c = C;
    tmp[0] = p(a, 1); tmp[1] = p(b, 2); tmp[2] = p(c, 3); sort(tmp, tmp+3);
    uf_init();
    for(int i=0; i<m; i++){
        int s = P[i], e = Q[i];
        if(uf_merge(s, e)) tree[s].push_back(e), tree[e].push_back(s);
        all_graph[s].push_back(e); all_graph[e].push_back(s);
    }
    uf_init();
    
    dfs_get_size(0); int cent = dfs_get_centroid(0);
    for(auto i : tree[cent]){
        dfn.clear(); dfs_on_spanning_tree(i, cent);
        if(dfn.size() < tmp[0].x) continue;
        for(auto j : dfn) use_at_answer[j] = 1;
        return get_answer();
    }
    
    for(int i=0; i<n; i++){
        auto now = attempt(i, P, Q);
        if(now.size()) return now;
    }
    return vector<int>(n, 0);
}

#ifdef LOCAL
int main() {
    int n, m, a, b, c;
    assert(5 == scanf("%d%d%d%d%d", &n, &m, &a, &b, &c));
    vector<int> p(m), q(m);
    for (int i=0; i<m; i++) assert(2 == scanf("%d%d", &p[i], &q[i]));
    
    vector<int> result = find_split(n, a, b, c, p, q);
    
    for (int i=0; i<(int)result.size(); i++) printf("%s%d", ((i>0)?" ":""), result[i]);
    printf("\n");
    return 0;
}
#endif

Compilation message

split.cpp: In function 'std::vector<int> find_split(int, int, int, int, std::vector<int>, std::vector<int>)':
split.cpp:102:23: warning: comparison of integer expressions of different signedness: 'std::vector<int>::size_type' {aka 'long unsigned int'} and 'int' [-Wsign-compare]
  102 |         if(dfn.size() < tmp[0].x) continue;
      |                       ^
# Verdict Execution time Memory Grader output
1 Correct 6 ms 8576 KB ok, correct split
2 Correct 6 ms 8576 KB ok, correct split
3 Correct 6 ms 8576 KB ok, correct split
4 Correct 6 ms 8576 KB ok, correct split
5 Correct 6 ms 8576 KB ok, correct split
6 Correct 7 ms 8576 KB ok, correct split
7 Correct 189 ms 22376 KB ok, correct split
8 Correct 182 ms 21108 KB ok, correct split
9 Correct 178 ms 20596 KB ok, correct split
10 Correct 186 ms 22516 KB ok, correct split
11 Correct 183 ms 21748 KB ok, correct split
# Verdict Execution time Memory Grader output
1 Correct 6 ms 8576 KB ok, correct split
2 Correct 6 ms 8576 KB ok, correct split
3 Correct 6 ms 8576 KB ok, correct split
4 Correct 206 ms 21492 KB ok, correct split
5 Correct 166 ms 18484 KB ok, correct split
6 Correct 187 ms 22516 KB ok, correct split
7 Correct 179 ms 20980 KB ok, correct split
8 Correct 247 ms 20468 KB ok, correct split
9 Correct 173 ms 18036 KB ok, correct split
10 Correct 95 ms 18792 KB ok, correct split
11 Correct 96 ms 18792 KB ok, correct split
12 Correct 98 ms 18792 KB ok, correct split
# Verdict Execution time Memory Grader output
1 Correct 6 ms 8576 KB ok, correct split
2 Correct 180 ms 18520 KB ok, correct split
3 Correct 46 ms 12664 KB ok, correct split
4 Correct 6 ms 8576 KB ok, correct split
5 Correct 177 ms 19828 KB ok, correct split
6 Correct 180 ms 19828 KB ok, correct split
7 Correct 190 ms 19828 KB ok, correct split
8 Correct 190 ms 20340 KB ok, correct split
9 Correct 192 ms 19928 KB ok, correct split
10 Incorrect 94 ms 11896 KB invalid split: #1=3243, #2=30090, #3=0
11 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 6 ms 8576 KB ok, correct split
2 Correct 5 ms 8192 KB ok, no valid answer
3 Correct 6 ms 8576 KB ok, correct split
4 Correct 6 ms 8576 KB ok, correct split
5 Correct 6 ms 8576 KB ok, correct split
6 Correct 6 ms 8576 KB ok, correct split
7 Correct 6 ms 8576 KB ok, correct split
8 Correct 6 ms 8576 KB ok, correct split
9 Correct 8 ms 8960 KB ok, correct split
10 Correct 9 ms 8960 KB ok, correct split
11 Correct 6 ms 8704 KB ok, correct split
12 Incorrect 10 ms 8960 KB invalid split: #1=5, #2=151, #3=2245
13 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 6 ms 8576 KB ok, correct split
2 Correct 6 ms 8576 KB ok, correct split
3 Correct 6 ms 8576 KB ok, correct split
4 Correct 6 ms 8576 KB ok, correct split
5 Correct 6 ms 8576 KB ok, correct split
6 Correct 7 ms 8576 KB ok, correct split
7 Correct 189 ms 22376 KB ok, correct split
8 Correct 182 ms 21108 KB ok, correct split
9 Correct 178 ms 20596 KB ok, correct split
10 Correct 186 ms 22516 KB ok, correct split
11 Correct 183 ms 21748 KB ok, correct split
12 Correct 6 ms 8576 KB ok, correct split
13 Correct 6 ms 8576 KB ok, correct split
14 Correct 6 ms 8576 KB ok, correct split
15 Correct 206 ms 21492 KB ok, correct split
16 Correct 166 ms 18484 KB ok, correct split
17 Correct 187 ms 22516 KB ok, correct split
18 Correct 179 ms 20980 KB ok, correct split
19 Correct 247 ms 20468 KB ok, correct split
20 Correct 173 ms 18036 KB ok, correct split
21 Correct 95 ms 18792 KB ok, correct split
22 Correct 96 ms 18792 KB ok, correct split
23 Correct 98 ms 18792 KB ok, correct split
24 Correct 6 ms 8576 KB ok, correct split
25 Correct 180 ms 18520 KB ok, correct split
26 Correct 46 ms 12664 KB ok, correct split
27 Correct 6 ms 8576 KB ok, correct split
28 Correct 177 ms 19828 KB ok, correct split
29 Correct 180 ms 19828 KB ok, correct split
30 Correct 190 ms 19828 KB ok, correct split
31 Correct 190 ms 20340 KB ok, correct split
32 Correct 192 ms 19928 KB ok, correct split
33 Incorrect 94 ms 11896 KB invalid split: #1=3243, #2=30090, #3=0
34 Halted 0 ms 0 KB -