Submission #4352985


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#include<bits/stdc++.h>
#define rep(i,a,b) for(int i=a;i<b;i++)
#define rrep(i,a,b) for(int i=a;i>=b;i--)
#define fore(i,a) for(auto &i:a)
#define all(x) (x).begin(),(x).end()
//#pragma GCC optimize ("-O3")
using namespace std; void _main(); int main() { cin.tie(0); ios::sync_with_stdio(false); _main(); }
typedef long long ll; const int inf = INT_MAX / 2; const ll infl = 1LL << 60;
template<class T>bool chmax(T &a, const T &b) { if (a<b) { a = b; return 1; } return 0; }
template<class T>bool chmin(T &a, const T &b) { if (b<a) { a = b; return 1; } return 0; }
//---------------------------------------------------------------------------------------------------
struct TreeDiameter {
    int N; vector<set<int>> E;TreeDiameter() {} TreeDiameter(int _N) { init(_N); }
    void init(int _N) { N = _N; E.resize(N); }
    void add_edge(int a, int b) { E[a].insert(b); E[b].insert(a); }
    void build() {vector<int> dv(N), dw(N);rep(i, 0, N) dv[i] = 0;dfs(0, -1, dv);v = 0;
        rep(i, 0, N) if (dv[i] > dv[v]) v = i;rep(i, 0, N) dv[i] = 0;dfs(v, -1, dv);w = 0;
        rep(i, 0, N) if (dv[i] > dv[w]) w = i;rep(i, 0, N) dw[i] = 0;dfs(w, -1, dw);dia = dv[w];
        if (dia % 2 == 0) {int R = dia / 2;rep(i, 0, N) if (dv[i] == R && dw[i] == R) cent_even = i;
        vector<int> dc(N, 0);dfs(cent_even, -1, dc);rep(i, 0, N) if(dc[i]==R)leaf_even.push_back(i);}
        else {int R=dia/2;int c1=0, c2=0; rep(i, 0, N) if (dv[i] == R && dw[i] == R + 1) c1 = i;
        rep(i, 0, N)if (dv[i]==R+1&&dw[i]==R) c2 = i; cent_odd = { c1, c2 }; vector<int> dc1(N, 0);
        dfs(c1, -1, dc1); vector<int> dc2(N, 0); dfs(c2, -1, dc2);
        rep(i, 0, N) if (dc1[i] == R && dc2[i] == R + 1) leaf_odd.first.push_back(i);
        rep(i, 0, N) if (dc1[i] == R + 1 && dc2[i] == R) leaf_odd.second.push_back(i);}
        vector<int> cn(N); dfs2(0, -1, cn);int mi = N + 1;
        rep(i, 0, N) {int d = N - cn[i];fore(to, E[i]) if(cn[to] < cn[i]) d = max(d, cn[to]);
        if(d<mi){mi=d;centroid.clear();centroid.push_back(i);}else if(d==mi)centroid.push_back(i);}}
    void dfs(int cu,int pa,vector<int>& D){fore(to,E[cu])if(to!=pa){D[to]=D[cu]+1;dfs(to, cu, D);}}
    void dfs2(int cu,int pa,vector<int>& cn){cn[cu]=1;fore(to,E[cu])if(to!=pa){dfs2(to,cu,cn);cn[cu]+=cn[to];}}

    // out
    int v, w, dia;
    int cent_even; vector<int> leaf_even;
    pair<int, int> cent_odd; pair<vector<int>, vector<int>> leaf_odd;
    vector<int> centroid;
};
// vid : id -> vid          head, heavy, parent : unused
// depth : id -> depth      inv : vid -> id
// in(vid), out(vid) : for euler tree [in[v], out[v])
struct HLDecomposition {
    vector<set<int>> g; vector<int> vid, head, heavy, parent, depth, inv, in, out;
    HLDecomposition() {} HLDecomposition(int n) { init(n); }
    void init(int n) {
        g.resize(n); vid.resize(n, -1); head.resize(n); heavy.resize(n, -1);
        parent.resize(n); depth.resize(n); inv.resize(n); in.resize(n); out.resize(n);
    }
    void add(int u, int v) { g[u].insert(v); g[v].insert(u); } void build() { dfs(0, -1); t = 0; dfs_hld(); }

    int dfs(int curr, int prev) {
        parent[curr] = prev; int sub = 1, max_sub = 0;
        heavy[curr] = -1;
        for (int next : g[curr]) if (next != prev) {
            depth[next] = depth[curr] + 1;
            int sub_next = dfs(next, curr); sub += sub_next;
            if (max_sub < sub_next) max_sub = sub_next, heavy[curr] = next;
        }return sub;
    }

    int t = 0;
    void dfs_hld(int v = 0)
    {
        vid[v] = in[v] = t;
        t++;
        inv[in[v]] = v;
        if (0 <= heavy[v]) {
            head[heavy[v]] = head[v];
            dfs_hld(heavy[v]);
        }
        for (auto u : g[v]) if (depth[v] < depth[u])  if (u != heavy[v]) {
            head[u] = u;
            dfs_hld(u);
        }
        out[v] = t;
    }


    void foreach(int u, int v, function<void(int, int)> f) { // [x,y]
        if (vid[u] > vid[v]) swap(u, v); f(max(vid[head[v]], vid[u]), vid[v]);
        if (head[u] != head[v]) foreach(u, parent[head[v]], f);
    }
    int ancestor(int from, int times) {
        while (true) {
            if (depth[head[from]] > depth[from] - times) {
                times -= depth[from] - depth[head[from]] + 1; if (head[from] == 0)return -1; from = parent[head[from]];
            }
            else return inv[vid[from] - times];
        }
    }
    int lca(int u, int v) {
        if (vid[u] > vid[v]) swap(u, v); if (head[u] == head[v]) return u;
        return lca(u, parent[head[v]]);
    }
    int distance(int u, int v) { return depth[u] + depth[v] - 2 * depth[lca(u, v)]; }
    int child(int parent, int child, int times) {
        assert(depth[parent] < depth[child]);
        int d = distance(parent, child); assert(times - 1 <= d); return ancestor(child, d - times);
    }
    int go(int from, int to, int times) {
        int d = distance(from, to); assert(0 <= times and times <= d);
        int lc = lca(from, to); if (lc == to)return ancestor(from, times); if (lc == from)return child(from, to, times);
        int dd = distance(from, lc); if (dd <= times)return go(lc, to, times - dd); return ancestor(from, times);
    }
};
template<class V> struct BIT {
    BIT() {}  // [L, R)
    int NV;vector<V> bit;
    BIT(int n){ init(n); }
    void init(int n) { NV = 1; while (NV < n)NV *= 2; bit.resize(NV); clear(); }
    V operator[](int e) { V s = 0; e++; while (e) s += bit[e - 1], e -= e&-e; return s; }
    void add(int e, V v) { e++; while (e <= NV) bit[e - 1] += v, e += e&-e; }
    int lower_bound(V val) { 
        V tv = 0; int i, ent = 0; for (i = NV - 1; i >= 0; i--)
        if(tv+bit[ent+(1<<i)-1]<=val)tv+=bit[ent+(1<<i)-1],ent += (1 << i);return ent;
    }
    V get(int L, int R) {
        assert(0 <= L); assert(R <= NV); assert(L <= R);
        V res = 0; if(R) res += operator[](R - 1); if (L) res -= operator[](L - 1);return res;
    }
    void clear() { rep(i, 0, NV) bit[i] = 0; }
};
/*---------------------------------------------------------------------------------------------------
            ∧_∧  
      ∧_∧  (´<_` )  Welcome to My Coding Space!
     ( ´_ゝ`) /  ⌒i     
    /   \     | |     
    /   / ̄ ̄ ̄ ̄/  |  
  __(__ニつ/     _/ .| .|____  
     \/____/ (u ⊃  
---------------------------------------------------------------------------------------------------*/






//---------------------------------------------------------------------------------------------------
void solve(TreeDiameter &td, HLDecomposition &hld, int N, vector<ll> &dist) {
    rep(i, 0, N) {
        ll d = -1;
        if (td.centroid.size() == 1) {
            // 中心1点
            d = hld.distance(i, td.centroid[0]) + td.dia / 2;
        }
        else {
            // 中心2点

            int cd = max(hld.distance(i, td.centroid[0]), hld.distance(i, td.centroid[1]));
            d = cd + td.dia / 2;
        }
        dist[i] = d;
    }
}
//---------------------------------------------------------------------------------------------------
void _main() {
    int N, M;
    cin >> N;
    TreeDiameter td1; td1.init(N);
    HLDecomposition hld1; hld1.init(N);
    rep(i, 0, N - 1) {
        int a, b; cin >> a >> b;
        a--; b--;
        td1.add_edge(a, b);
        hld1.add(a, b);
    }
    td1.build();
    hld1.build();

    cin >> M;
    TreeDiameter td2; td2.init(M);
    HLDecomposition hld2; hld2.init(M);
    rep(i, 0, M - 1) {
        int a, b; cin >> a >> b;
        a--; b--;
        td2.add_edge(a, b);
        hld2.add(a, b);
    }
    td2.build();
    hld2.build();

    ll ma = -1;
    chmax(ma, 1LL * td1.dia);
    chmax(ma, 1LL * td2.dia);

    vector<ll> dist1(N), dist2(M);
    solve(td1, hld1, N, dist1);
    solve(td2, hld2, M, dist2);

    BIT<ll> bit1(N), bit2(M);
    rep(i, 0, N) bit1.add(dist1[i], 1);
    rep(i, 0, M) bit2.add(dist2[i], 1);
    ll other = 0;

    ll ans = 0;
    rep(i, 0, N) {
        // dist1[i] + x + 1 <= ma
        // x <= ma - dist1[i] - 1
        ll ng = 0;
        if(0 <= ma - dist1[i] - 1) bit2.get(0, ma - dist1[i] - 1);
        other += ng;
        ans += dist1[i] * (M - ng);
    }
    rep(i, 0, M) {
        ll ng = 0;
        if (0 <= ma - dist2[i] - 1) bit1.get(0, ma - dist2[i] - 1);
        other += ng;
        ans += dist2[i] * (N - ng);
    }
    ans += ma * other;
    ans += 1LL * (1LL * N * M - other);
    cout << ans << endl;
}

Submission Info

Submission Time
Task B - Bonsai Grafting
User hamayanhamayan
Language C++14 (GCC 5.4.1)
Score 0
Code Size 8737 Byte
Status
Exec Time 424 ms
Memory 86880 KB

Test Cases

Set Name Score / Max Score Test Cases
Sample 0 / 0 01.txt, 02.txt
All 0 / 700 01.txt, 02.txt, 11.txt, 12.txt, 13.txt, 14.txt, 15.txt, 16.txt, 17.txt, 18.txt, 19.txt, 20.txt, 21.txt, 22.txt, 23.txt, 24.txt, 25.txt, 26.txt, 27.txt, 28.txt, 29.txt, 30.txt, 31.txt, 32.txt, 33.txt, 34.txt, 35.txt, 36.txt, 37.txt, 38.txt, 39.txt, 40.txt, 41.txt, 42.txt, 43.txt, 44.txt, 45.txt, 46.txt, 47.txt, 48.txt, 49.txt, 50.txt
Case Name Status Exec Time Memory
01.txt 1 ms 256 KB
02.txt 1 ms 256 KB
11.txt 1 ms 256 KB
12.txt 1 ms 256 KB
13.txt 1 ms 256 KB
14.txt 1 ms 256 KB
15.txt 1 ms 256 KB
16.txt 1 ms 256 KB
17.txt 1 ms 256 KB
18.txt 1 ms 256 KB
19.txt 1 ms 256 KB
20.txt 1 ms 256 KB
21.txt 356 ms 66400 KB
22.txt 336 ms 66784 KB
23.txt 331 ms 66784 KB
24.txt 352 ms 82664 KB
25.txt 424 ms 67168 KB
26.txt 348 ms 66792 KB
27.txt 383 ms 82656 KB
28.txt 335 ms 66784 KB
29.txt 380 ms 83168 KB
30.txt 401 ms 86880 KB
31.txt 326 ms 66792 KB
32.txt 356 ms 66912 KB
33.txt 332 ms 66408 KB
34.txt 361 ms 86752 KB
35.txt 362 ms 66792 KB
36.txt 352 ms 67176 KB
37.txt 409 ms 78056 KB
38.txt 346 ms 67176 KB
39.txt 367 ms 80864 KB
40.txt 408 ms 82656 KB
41.txt 170 ms 33760 KB
42.txt 158 ms 33768 KB
43.txt 210 ms 33768 KB
44.txt 218 ms 33760 KB
45.txt 225 ms 33760 KB
46.txt 241 ms 33768 KB
47.txt 380 ms 53088 KB
48.txt 219 ms 33760 KB
49.txt 275 ms 44640 KB
50.txt 272 ms 44648 KB