Submission #1319302

#TimeUsernameProblemLanguageResultExecution timeMemory
1319302guilhermecppPictionary (COCI18_pictionary)C++20
140 / 140
213 ms26640 KiB
#include <bits/stdc++.h>
using namespace std;
 
mt19937 mt(chrono::steady_clock::now().time_since_epoch().count());
 
// #define int long long
#define fi first
#define se second
#define pb push_back
// #define endl '\n'
 
typedef pair<int,int> pii;

const int N = 5e5+5;
const int LOG = 20;

int comp[N], pai[N], ans[N], nn;

void createNode()
{
    nn++, comp[nn] = pai[nn] = nn;
    ans[nn] = 0;
    return;
}

int findComp(int u)
{
    if(u==comp[u]) return u;
    return comp[u] = findComp(comp[u]);
}

bool Join(int u, int v, int x)
{
    u = findComp(u);
    v = findComp(v);
    if(u==v) return false;
    createNode();
    comp[u] = pai[u] = nn;
    comp[v] = pai[v] = nn;
    ans[nn] = x;
    return true;
}

vector<int> grafo[N];
int lvl[N];
int anc[LOG+1][N];
void DFS(int u)
{
    lvl[u] = lvl[pai[u]]+1;
    anc[0][u] = pai[u];
    for(int k = 1;k <= LOG;k++) anc[k][u] = anc[k-1][anc[k-1][u]];
    for(auto v : grafo[u]) DFS(v);
    return;
}

int LCA(int u, int v)
{
    if(lvl[u]<lvl[v]) swap(u,v);
    for(int k = LOG;k >= 0;k--)
        if(lvl[anc[k][u]]>=lvl[v])
            u = anc[k][u];
    if(u==v) return u;
    for(int k = LOG;k >= 0;k--)
        if(anc[k][u]!=anc[k][v])
            u = anc[k][u], v = anc[k][v];
    return anc[0][u];
}

int32_t main()
{

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

    int n, m, q;
    cin >> n >> m >> q;

    for(int i = 1;i <= n;i++) createNode();
    for(int i = m;i >= 1;i--)
        for(int j = i;j <= n;j += i)
            Join(i, j, m-i+1);

    for(int i = 1;i < nn;i++) grafo[pai[i]].pb(i);
    DFS(nn);

    while(q--)
    {
        int u,v;
        cin >> u >> v;
        cout << ans[LCA(u,v)] << endl;
    }


    return 0;
}
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