제출 #1223264

#제출 시각아이디문제언어결과실행 시간메모리
122326412345678도로 개발 (JOI15_road_development)C++20
10 / 100
2094 ms327680 KiB
#include <bits/stdc++.h>

using namespace std;

const int nx=1e5+5, qx=3e5+5, kx=17;

int n, q, t[qx], u[qx], v[qx], upd[qx], dsu[nx], res[nx], sz[nx], hd[nx], in[nx], cnt, lvl[nx], pa[nx];
vector<int> d[nx];

void dfssz(int u, int p)
{
    sz[u]=1;
    pa[u]=p;
    lvl[u]=lvl[p]+1;
    for (auto v:d[u]) if (v!=p) dfssz(v, u), sz[u]+=sz[v];
}

void hld(int u, int p, int h)
{
    hd[u]=h;
    in[u]=++cnt;
    pair<int, int> hv;
    for (auto v:d[u]) if (v!=p) hv=max(hv, {sz[v], v});
    if (hv.second) hld(hv.second, u, h);
    for (auto v:d[u]) if (v!=p&&v!=hv.second) hld(v, u, v);
}

struct segtree
{
    int d[4*nx], lz[4*nx];
    void pushlz(int l, int r, int i)
    {
        if (!lz[i]) return;
        d[i]=r-l+1;
        if (l!=r) lz[2*i]=1, lz[2*i+1]=1;
        lz[i]=0;
    }
    void update(int l, int r, int i, int ql, int qr)
    {
        pushlz(l, r, i);
        if (qr<l||r<ql||qr<ql) return;
        if (ql<=l&&r<=qr) return lz[i]=1, pushlz(l, r, i), void();
        int md=(l+r)/2;
        update(l, md, 2*i, ql, qr);
        update(md+1, r, 2*i+1, ql, qr);
        d[i]=d[2*i]+d[2*i+1];
    }
    int query(int l, int r, int i, int ql, int qr)
    {
        pushlz(l, r, i);
        if (qr<l||r<ql||qr<ql) return 0;
        if (ql<=l&&r<=qr) return d[i];
        int md=(l+r)/2;
        return query(l, md, 2*i, ql, qr)+query(md+1, r, 2*i+1, ql, qr);
    }
} s;

void update(int u, int p)
{
    while (hd[u]!=hd[p])
    {
        s.update(1, n, 1, in[hd[u]], in[u]);
        u=pa[hd[u]];
    }
    s.update(1, n, 1, in[p]+1, in[u]);
}

int query(int u, int p)
{
    int ans=0;
    while (hd[u]!=hd[p])
    {
        ans+=(in[u]-in[hd[u]]+1)-s.query(1, n, 1, in[hd[u]], in[u]);
        u=pa[hd[u]];
    }
    ans+=(in[u]-in[p])-s.query(1, n, 1, in[p]+1, in[u]);
    return ans;
}

int lca(int u, int v)
{
    while (hd[u]!=hd[v])
    {
        if (lvl[hd[u]]>lvl[hd[v]]) swap(u, v);
        v=pa[hd[v]];
    }
    if (lvl[u]>lvl[v]) swap(u, v);
    return u;
}

int find(int x)
{
    if (dsu[x]==x) return x;
    return dsu[x]=find(dsu[x]);
}

int main()
{
    cin.tie(NULL)->sync_with_stdio(false);
    cin>>n>>q;
    for (int i=1; i<=n; i++) dsu[i]=i;
    for (int i=1; i<=q; i++)
    {
        cin>>t[i]>>u[i]>>v[i];
        if (t[i]==1)
        {
            res[i]=-2;
            if (find(u[i])!=find(v[i])) dsu[find(u[i])]=find(v[i]), d[u[i]].push_back(v[i]), d[v[i]].push_back(u[i]);
            else upd[i]=1;
        }
        else
        {
            if (find(u[i])!=find(v[i])) res[i]=-1;
        }
    }
    for (int i=1; i<=n; i++) if (!in[i]) dfssz(i, i), hld(i, i, i);
    for (int i=1; i<=q; i++)
    {
        if (t[i]==1)
        {
            if (upd[i])
            {
                update(u[i], lca(u[i], v[i]));
                update(v[i], lca(u[i], v[i]));
            }
        }
        else
        {
            if (!res[i])
            {
                res[i]=query(u[i], lca(u[i], v[i]))+query(v[i], lca(u[i], v[i]));
            }
        }
    }
    for (int i=1; i<=q; i++) if (t[i]==2) cout<<res[i]<<'\n';
}
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