oj.uz

Submission #143456

# Submission time Handle Problem Language Result Execution time Memory
143456 2019-08-14T06:36:13 Z icypiggy Split the Attractions (IOI19_split) C++14
18 / 100
 155 ms 37392 KB 
#include <bits/stdc++.h>
using namespace std;
const int n_max = 2e5+1e3;
int visit[n_max];
int low[n_max];
int subtree[n_max];
vector<int> adj[n_max];
vector<int> child[n_max];
int parent[n_max];
int time_global = 0;
void dfs(int x) {
    subtree[x] = 1;
    visit[x] = time_global;
    time_global++;
    low[x] = x;
    for(int i: adj[x]) {
        if(visit[i]==-1) {
            parent[i] = x;
            child[x].push_back(i);
            dfs(i);
            subtree[x] += subtree[i];
            low[x] = min(low[x], low[i]);
        } else if (i != parent[x]) {
            low[x] = min(low[x], visit[i]);
        }
    }
}
vector<int> find_split(int n, int a, int b, int c, vector<int> p, vector<int> q) {
    // assume a<=b<=c
    vector<pair<int,int>> vp = {make_pair(a,1),make_pair(b,2),make_pair(c,3)};
    sort(vp.begin(), vp.end());
    int small = vp[0].second;
    int mid = vp[1].second;
    int big = vp[2].second;
    a = vp[0].first;
    b = vp[1].first;
    c = vp[2].first;

    memset(visit, -1, sizeof(visit));
    for(int i=0; i<(int) p.size(); i++) {
        adj[p[i]].push_back(q[i]);
        adj[q[i]].push_back(p[i]);
    }
    dfs(0);
    vector<int> ans(n,0);
    for(int i=0; i<n; i++) {
        // assume c>=a
        // check: a+c or b+c?
        if(subtree[i]>=a && subtree[i]<=b+c) {
            if(subtree[i]>a+c) {
                swap(a,b);
                swap(small,mid);
            }
            queue<int> bfs;
            bfs.push(i);
            int ctr = 0;
            while(!bfs.empty()) {
                int next = bfs.front();
                ans[next] = (ctr<a ? small : big);
                ctr++;
                bfs.pop();
                for(int k: child[next]) {
                    bfs.push(k);
                }
            }
            bfs.push(0);
            ctr = 0;
            while(!bfs.empty()) {
                int next = bfs.front();
                ans[next] = (ctr<b ? mid : big);
                ctr++;
                bfs.pop();
                for(int k: child[next]) {
                    if(ans[k]==0) {
                        bfs.push(k);
                    }
                }
            }
            for(int k=0; k<n; k++) {
                assert(ans[k]!=0);
            }
            return ans;
        } else if(subtree[i]>b+c) {
            // if have heavy node with all light children
            bool all_light = true;
            for(int j: child[i]) {
                if(subtree[j]>=a) {
                    all_light = false;
                    // break;
                }
            }
            if(all_light) {
                if(i==0) {
                    assert(child[i].size()>=3);
                    return ans;
                }
                int minsize = 1;
                vector<int> tmp; // consists of all the children to be taken
                for(int j: child[i]) {
                    // add all those with bad lowtime
                    if(low[j]>= visit[i]) {
                        minsize += subtree[j];
                        tmp.push_back(j);
                    }
                }
                if(minsize > b+c) {
                    return ans;
                }
                for(int j: child[i]) {
                    // add the relevant subtrees
                    if(low[j]<visit[i] && minsize < b) {
                        minsize += subtree[j];
                        tmp.push_back(j);
                    }
                }
                assert(minsize >= b);
                assert(minsize <= b+c);
                // now for each subtree, color its children completely except that some are colored with 3
                int ctr = 1;
                ans[i] = mid;
                queue<int> bfs;
                for(int j: tmp) {
                    bfs.push(j);
                    while(!bfs.empty()) {
                        int next = bfs.front();
                        assert(ans[next]==0);
                        ans[next] = (ctr<b ? mid : big);
                        ctr++;
                        bfs.pop();
                        for(int k: child[next]) {
                            bfs.push(k);
                        }
                    }
                }
                assert(ctr==b);
                ctr = 1;
                bfs.push(0); // we know that 0 is not the root
                ans[0] = small;
                while(!bfs.empty()) {
                    int next = bfs.front();
                    bfs.pop();
                    for(int k: adj[next]) {
                        if(ans[k]==0) {
                            bfs.push(k);
                            ans[k] = (ctr<a ? small : big);
                            ctr++;
                        }
                    }
                }
                assert(ctr==a);
                for(int k=0; k<n; k++) {
                    //assert(ans[k]!=0);
                }
                return ans;
            }
        }
    }
    assert(false);
    return p;
}

Subtask #1
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 11 ms 10564 KB ok, correct split
2 Correct 11 ms 10616 KB ok, correct split
3 Correct 11 ms 10616 KB ok, correct split
4 Correct 11 ms 10492 KB ok, correct split
5 Correct 14 ms 10488 KB ok, correct split
6 Correct 11 ms 10616 KB ok, correct split
7 Correct 136 ms 27420 KB ok, correct split
8 Correct 133 ms 25208 KB ok, correct split
9 Correct 136 ms 24440 KB ok, correct split
10 Correct 142 ms 27868 KB ok, correct split
11 Correct 133 ms 27768 KB ok, correct split

Subtask #2
11.0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 11 ms 10616 KB ok, correct split
2 Correct 10 ms 10616 KB ok, correct split
3 Correct 11 ms 10488 KB ok, correct split
4 Correct 147 ms 23672 KB ok, correct split
5 Correct 109 ms 18552 KB ok, correct split
6 Correct 134 ms 27768 KB ok, correct split
7 Correct 134 ms 25016 KB ok, correct split
8 Correct 155 ms 21240 KB ok, correct split
9 Correct 114 ms 19960 KB ok, correct split
10 Correct 73 ms 18028 KB ok, correct split
11 Correct 71 ms 18032 KB ok, correct split
12 Correct 75 ms 18032 KB ok, correct split

Subtask #3
0 / 22.0

# Verdict Execution time Memory Grader output
1 Correct 10 ms 10488 KB ok, correct split
2 Correct 105 ms 18680 KB ok, correct split
3 Correct 44 ms 13816 KB ok, correct split
4 Correct 10 ms 10488 KB ok, correct split
5 Correct 127 ms 22648 KB ok, correct split
6 Correct 123 ms 22264 KB ok, correct split
7 Correct 125 ms 22136 KB ok, correct split
8 Correct 128 ms 23516 KB ok, correct split
9 Correct 118 ms 21900 KB ok, correct split
10 Correct 38 ms 13144 KB ok, no valid answer
11 Correct 53 ms 14588 KB ok, no valid answer
12 Correct 89 ms 18548 KB ok, no valid answer
13 Runtime error 108 ms 37392 KB Execution killed with signal 11 (could be triggered by violating memory limits)
14 Halted 0 ms 0 KB -

Subtask #4
0 / 24.0

# Verdict Execution time Memory Grader output
1 Correct 12 ms 10488 KB ok, correct split
2 Correct 11 ms 10488 KB ok, no valid answer
3 Correct 11 ms 10512 KB ok, correct split
4 Correct 13 ms 10488 KB ok, correct split
5 Correct 11 ms 10488 KB ok, correct split
6 Correct 12 ms 10616 KB ok, correct split
7 Correct 11 ms 10616 KB ok, correct split
8 Correct 13 ms 10616 KB ok, correct split
9 Correct 17 ms 10872 KB ok, correct split
10 Correct 13 ms 10872 KB ok, correct split
11 Correct 11 ms 10616 KB ok, correct split
12 Correct 13 ms 10872 KB ok, correct split
13 Correct 11 ms 10616 KB ok, correct split
14 Correct 11 ms 10488 KB ok, correct split
15 Correct 11 ms 10488 KB ok, correct split
16 Correct 11 ms 10616 KB ok, correct split
17 Correct 11 ms 10616 KB ok, correct split
18 Correct 11 ms 10616 KB ok, correct split
19 Correct 11 ms 10616 KB ok, correct split
20 Correct 11 ms 10616 KB ok, correct split
21 Correct 13 ms 10872 KB ok, correct split
22 Correct 12 ms 10872 KB ok, correct split
23 Correct 13 ms 10872 KB ok, correct split
24 Correct 13 ms 10872 KB ok, correct split
25 Correct 13 ms 10872 KB ok, correct split
26 Runtime error 26 ms 21624 KB Execution killed with signal 11 (could be triggered by violating memory limits)
27 Halted 0 ms 0 KB -

Subtask #5
0 / 36.0

# Verdict Execution time Memory Grader output
1 Correct 11 ms 10564 KB ok, correct split
2 Correct 11 ms 10616 KB ok, correct split
3 Correct 11 ms 10616 KB ok, correct split
4 Correct 11 ms 10492 KB ok, correct split
5 Correct 14 ms 10488 KB ok, correct split
6 Correct 11 ms 10616 KB ok, correct split
7 Correct 136 ms 27420 KB ok, correct split
8 Correct 133 ms 25208 KB ok, correct split
9 Correct 136 ms 24440 KB ok, correct split
10 Correct 142 ms 27868 KB ok, correct split
11 Correct 133 ms 27768 KB ok, correct split
12 Correct 11 ms 10616 KB ok, correct split
13 Correct 10 ms 10616 KB ok, correct split
14 Correct 11 ms 10488 KB ok, correct split
15 Correct 147 ms 23672 KB ok, correct split
16 Correct 109 ms 18552 KB ok, correct split
17 Correct 134 ms 27768 KB ok, correct split
18 Correct 134 ms 25016 KB ok, correct split
19 Correct 155 ms 21240 KB ok, correct split
20 Correct 114 ms 19960 KB ok, correct split
21 Correct 73 ms 18028 KB ok, correct split
22 Correct 71 ms 18032 KB ok, correct split
23 Correct 75 ms 18032 KB ok, correct split
24 Correct 10 ms 10488 KB ok, correct split
25 Correct 105 ms 18680 KB ok, correct split
26 Correct 44 ms 13816 KB ok, correct split
27 Correct 10 ms 10488 KB ok, correct split
28 Correct 127 ms 22648 KB ok, correct split
29 Correct 123 ms 22264 KB ok, correct split
30 Correct 125 ms 22136 KB ok, correct split
31 Correct 128 ms 23516 KB ok, correct split
32 Correct 118 ms 21900 KB ok, correct split
33 Correct 38 ms 13144 KB ok, no valid answer
34 Correct 53 ms 14588 KB ok, no valid answer
35 Correct 89 ms 18548 KB ok, no valid answer
36 Runtime error 108 ms 37392 KB Execution killed with signal 11 (could be triggered by violating memory limits)
37 Halted 0 ms 0 KB -