Submission #964820

#	Time	Username	Problem	Language	Result	Execution time	Memory
964820		codefox	Regions (IOI09_regions)	C++14	19 / 100	446 ms	131072 KiB

regions

#include<bits/stdc++.h>

using namespace std;

#pragma GCC optimize("Ofast")
#pragma GCC target("avx,avx2,fma")

#define pii pair<int, int>

vector<vector<int>> graph;
vector<int> region;
vector<int> rind;
vector<int> rrind;

vector<int> start;
vector<int> ende;
int c =0 ;

vector<vector<int>> dpback;

vector<vector<int>> solutions;

int K = 500;

void dfsback(int i)
{
    start[i] = c++;
    for (int ele:graph[i])
    {
        dfsback(ele);
        for (int j = 0; j < K; j++)
        {
            dpback[i][j] += dpback[ele][j];
        }
    }
    for (int j = 0; j < K; j++)
    {
        if (rrind[j]==-1) break;
        solutions[region[i]][rrind[j]] = dpback[i][j];
    }
    if (rind[region[i]]!= -1) dpback[i][rind[region[i]]]++;
    ende[i] = c;
}

void dfsfront(int i, vector<int> dpfront)
{
    for (int j = 0; j < K; j++)
    {
        if (rrind[j]==-1) break;
        solutions[rrind[j]][region[i]] = dpfront[j];
    }
    if (rind[region[i]]!=-1) dpfront[rind[region[i]]]++;
    for (int ele:graph[i])
    {
        dfsfront(ele, dpfront);
    }
}

int main()
{
    //freopen("input.txt", "r", stdin);
    //freopen("output.txt", "w", stdout);

    ios_base::sync_with_stdio(false);
    cin.tie(0);
    cout.tie(0);

    int n, r, q;
    cin >> n >> r >> q;

    graph.assign(n, vector<int>());
    region.assign(n, 0);
    rind.assign(r, -1);
    rrind.assign(K, -1);
    start.assign(n, 0);
    ende.assign(n, 0);
    dpback.assign(n, vector<int>(K, 0));
    solutions.assign(r, vector<int>(r, -1));

    vector<vector<int>> part(r);

    cin >> region[0];
    region[0]--;
    part[region[0]].push_back(0);
    for (int i = 1; i < n; i++)
    {
        int b;
        cin >> b;
        b--;
        graph[b].push_back(i);
        cin >> region[i];
        region[i]--;
        part[region[i]].push_back(i);
    }

    vector<int> rsum(r);
    int d =0;
    for (int i = 0; i < n; i++) rsum[region[i]]++;
    for (int i = 0; i < r; i++)
    {
        if (rsum[i]> K) 
        {
            rrind[d] = i;
            rind[i] = d++;
        }
    }

    dfsback(0);
    dfsfront(0, vector<int>(K, 0));

    while (q--)
    {
        int a, b;
        cin >> a >> b;
        a--; b--;
        if (solutions[a][b]!=-1) cout << solutions[a][b] << endl;
        else
        {
            vector<pii> s;
            for (int ele:part[a]) 
            {
                s.push_back({start[ele], 0});
                s.push_back({ende[ele], 1});
            }
            for (int ele:part[b])
            {
                s.push_back({start[ele], 2});
            }
            sort(s.begin(), s.end());

            int open = 0;
            int sol = 0;
            for (pii ele:s)
            {
                if (ele.second == 0) open++;
                if (ele.second == 1) open--;
                if (ele.second == 2) sol += open;
            }
            cout << sol << endl;
        }
    }

    return 0;
}

• Subtask 1: 14 / 15
• Subtask 2: 5 / 85