oj.uz

Submission #781466

# Submission time Handle Problem Language Result Execution time Memory
781466 2023-07-13T06:43:02 Z 이성호(#10012) JOI15_road_development (JOI15_road_development) C++14
100 / 100
 470 ms 31932 KB 
#include <iostream>
#include <cmath>
#include <functional>
#include <vector>
using namespace std;
struct Query
{
    int t, a, b;
};
Query qr[300005];
struct UnionFind
{
    vector<int> par;
    UnionFind(int N)
    {
        par.resize(N+1);
        for (int i = 1; i <= N; i++) par[i] = i;
    }
    int fin(int v)
    {
        return v == par[v] ? v : (par[v] = fin(par[v]));
    }
    void uni(int u, int v)
    {
        par[fin(u)] = fin(v);
    }
    bool isuni(int u, int v)
    {
        return fin(u) == fin(v);
    }
};
struct LazySeg
{
    vector<int> tree, lazy;
    LazySeg(int N)
    {
        int sz = 1 << ((int)ceil(log2(N+1))+1);
        tree.resize(sz); lazy.resize(sz);
    }
    void propagate(int s, int e, int node)
    {
        if (lazy[node] == 0) return;
        tree[node] = e - s + 1;
        if (s != e) {
            lazy[2*node] = lazy[2*node+1] = 1;
        }
        lazy[node] = 0;
    }
    void upd(int s, int e, int node, int l, int r)
    {
        propagate(s, e, node);
        if (e < l || r < s) return;
        if (l <= s && e <= r){
            lazy[node] = 1;
            propagate(s, e, node);
            return;
        }
        upd(s, (s+e)/2, 2*node, l, r);
        upd((s+e)/2+1, e, 2*node+1, l, r);
        tree[node] = tree[2*node] + tree[2*node+1];
    }
    int query(int s, int e, int node, int l, int r)
    {
        propagate(s, e, node);
        if (e < l || r < s) return 0;
        if (l <= s && e <= r) return tree[node];
        return query(s, (s+e)/2, 2*node, l, r) + query((s+e)/2+1, e, 2*node+1, l, r);
    }
};
vector<int> adj[100005];
vector<int> g[100005];
int in[100005], out[100005], sz[100005], par[100005], dep[100005], nxt[100005];
int main()
{
    ios::sync_with_stdio(false); cin.tie(0); cout.tie(0);
    int N, Q; cin >> N >> Q;
    for (int i = 0; i < Q; i++) {
        cin >> qr[i].t >> qr[i].a >> qr[i].b;
    }
    UnionFind uf(N);
    for (int i = 0; i < Q; i++) {
        if (qr[i].t == 1) {
            if (!uf.isuni(qr[i].a, qr[i].b)) {
                adj[qr[i].a].push_back(qr[i].b);
                adj[qr[i].b].push_back(qr[i].a);
                uf.uni(qr[i].a, qr[i].b);
            }
        }
    }
    for (int i = 2; i <= N; i++) {
        if (!uf.isuni(1, i)) {
            uf.uni(1, i);
            adj[1].push_back(i);
            adj[i].push_back(1);
        }
    }
    LazySeg seg(N);
    function<void(int, int)> dfs_sz = [&](int v, int p)
    {
        dep[v] = dep[p] + 1;
        par[v] = p;
        sz[v] = 1;
        for (int i:adj[v]) {
            if (i != p) {
                g[v].push_back(i);
                dfs_sz(i, v);
                if (sz[g[v][0]] < sz[i]) {
                    swap(g[v][0], g[v].back());
                }
                sz[v] += sz[i];
            }
        }
    };
    int ord = 0;
    function<void(int)> dfs_hld = [&](int v)
    {
        in[v] = ord++;
        for (int i:g[v]) {
            nxt[i] = g[v][0] == i ? nxt[v] : i;
            dfs_hld(i);
        }
        out[v] = ord;
    };
    function<int(int, int)> lca = [&](int u, int v)
    {
        while (nxt[u] != nxt[v]) {
            if (dep[nxt[u]] < dep[nxt[v]]) swap(u, v);
            u = par[nxt[u]];
        }
        return dep[u] < dep[v] ? u : v;
    };
    function<void(int, int)> upd = [&](int u, int v)
    {
        int w = lca(u, v);
        while (1) {
            if (nxt[u] != nxt[w]) {
                seg.upd(0, N-1, 1, in[nxt[u]], in[u]);
                u = par[nxt[u]];
            }
            else {
                seg.upd(0, N-1, 1, in[w]+1, in[u]);
                break;
            }
        }
        while (1) {
            if (nxt[v] != nxt[w]) {
                seg.upd(0, N-1, 1, in[nxt[v]], in[v]);
                v = par[nxt[v]];
            }
            else {
                seg.upd(0, N-1, 1, in[w]+1, in[v]);
                break;
            }
        }
    };
    function<int(int, int)> query = [&](int u, int v)
    {
        int ans = 0;
        int w = lca(u, v);
        while (1) {
            if (nxt[u] != nxt[w]) {
                ans += seg.query(0, N-1, 1, in[nxt[u]], in[u]);
                u = par[nxt[u]];
            }
            else {
                ans += seg.query(0, N-1, 1, in[w]+1, in[u]);
                break;
            }
        }
        while (1) {
            if (nxt[v] != nxt[w]) {
                ans += seg.query(0, N-1, 1, in[nxt[v]], in[v]);
                v = par[nxt[v]];
            }
            else {
                ans += seg.query(0, N-1, 1, in[w]+1, in[v]);
                break;
            }
        }
        return ans;
    };
    function<int(int, int)> dis = [&](int u, int v)
    {
        int w = lca(u, v);
        return dep[u] + dep[v] - 2 * dep[w];
    };
    dfs_sz(1, 0);
    dfs_hld(1);
    UnionFind uf2(N);
    for (int i = 0; i < Q; i++) {
        if (qr[i].t == 1) {
            if (uf2.isuni(qr[i].a, qr[i].b)) {
                upd(qr[i].a, qr[i].b);
            }
            else {
                uf2.uni(qr[i].a, qr[i].b);
            }
        }
        else {
            if (uf2.isuni(qr[i].a, qr[i].b)) {
                cout << dis(qr[i].a, qr[i].b) - query(qr[i].a, qr[i].b) << '\n';
            }
            else {
                cout << -1 << '\n';
            }
        }
    }
}

Subtask #1
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 5204 KB Output is correct
2 Correct 4 ms 5204 KB Output is correct
3 Correct 4 ms 5172 KB Output is correct
4 Correct 4 ms 5204 KB Output is correct
5 Correct 5 ms 5204 KB Output is correct
6 Correct 4 ms 5196 KB Output is correct
7 Correct 5 ms 5204 KB Output is correct
8 Correct 4 ms 5204 KB Output is correct

Subtask #2
25.0 / 25.0

# Verdict Execution time Memory Grader output
1 Correct 211 ms 18236 KB Output is correct
2 Correct 470 ms 19008 KB Output is correct
3 Correct 252 ms 27972 KB Output is correct
4 Correct 249 ms 28800 KB Output is correct
5 Correct 245 ms 25400 KB Output is correct
6 Correct 226 ms 26028 KB Output is correct
7 Correct 388 ms 19308 KB Output is correct
8 Correct 234 ms 25300 KB Output is correct
9 Correct 380 ms 19132 KB Output is correct
10 Correct 229 ms 24224 KB Output is correct
11 Correct 216 ms 27168 KB Output is correct
12 Correct 207 ms 31256 KB Output is correct
13 Correct 189 ms 31932 KB Output is correct
14 Correct 217 ms 26572 KB Output is correct

Subtask #3
25.0 / 25.0

# Verdict Execution time Memory Grader output
1 Correct 240 ms 18200 KB Output is correct
2 Correct 361 ms 19036 KB Output is correct
3 Correct 245 ms 26096 KB Output is correct
4 Correct 230 ms 29760 KB Output is correct
5 Correct 203 ms 19324 KB Output is correct
6 Correct 244 ms 25744 KB Output is correct
7 Correct 195 ms 18348 KB Output is correct
8 Correct 246 ms 24608 KB Output is correct
9 Correct 222 ms 25988 KB Output is correct
10 Correct 244 ms 27340 KB Output is correct
11 Correct 189 ms 18328 KB Output is correct
12 Correct 274 ms 27500 KB Output is correct
13 Correct 230 ms 27980 KB Output is correct
14 Correct 215 ms 27600 KB Output is correct

Subtask #4
25.0 / 25.0

# Verdict Execution time Memory Grader output
1 Correct 130 ms 16872 KB Output is correct
2 Correct 277 ms 17612 KB Output is correct
3 Correct 200 ms 24168 KB Output is correct
4 Correct 167 ms 27176 KB Output is correct
5 Correct 464 ms 18992 KB Output is correct
6 Correct 259 ms 27724 KB Output is correct
7 Correct 50 ms 16660 KB Output is correct
8 Correct 64 ms 23884 KB Output is correct
9 Correct 92 ms 27800 KB Output is correct
10 Correct 111 ms 17132 KB Output is correct
11 Correct 212 ms 25932 KB Output is correct
12 Correct 276 ms 25172 KB Output is correct

Subtask #5
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 5204 KB Output is correct
2 Correct 4 ms 5204 KB Output is correct
3 Correct 4 ms 5172 KB Output is correct
4 Correct 4 ms 5204 KB Output is correct
5 Correct 5 ms 5204 KB Output is correct
6 Correct 4 ms 5196 KB Output is correct
7 Correct 5 ms 5204 KB Output is correct
8 Correct 4 ms 5204 KB Output is correct
9 Correct 211 ms 18236 KB Output is correct
10 Correct 470 ms 19008 KB Output is correct
11 Correct 252 ms 27972 KB Output is correct
12 Correct 249 ms 28800 KB Output is correct
13 Correct 245 ms 25400 KB Output is correct
14 Correct 226 ms 26028 KB Output is correct
15 Correct 388 ms 19308 KB Output is correct
16 Correct 234 ms 25300 KB Output is correct
17 Correct 380 ms 19132 KB Output is correct
18 Correct 229 ms 24224 KB Output is correct
19 Correct 216 ms 27168 KB Output is correct
20 Correct 207 ms 31256 KB Output is correct
21 Correct 189 ms 31932 KB Output is correct
22 Correct 217 ms 26572 KB Output is correct
23 Correct 240 ms 18200 KB Output is correct
24 Correct 361 ms 19036 KB Output is correct
25 Correct 245 ms 26096 KB Output is correct
26 Correct 230 ms 29760 KB Output is correct
27 Correct 203 ms 19324 KB Output is correct
28 Correct 244 ms 25744 KB Output is correct
29 Correct 195 ms 18348 KB Output is correct
30 Correct 246 ms 24608 KB Output is correct
31 Correct 222 ms 25988 KB Output is correct
32 Correct 244 ms 27340 KB Output is correct
33 Correct 189 ms 18328 KB Output is correct
34 Correct 274 ms 27500 KB Output is correct
35 Correct 230 ms 27980 KB Output is correct
36 Correct 215 ms 27600 KB Output is correct
37 Correct 130 ms 16872 KB Output is correct
38 Correct 277 ms 17612 KB Output is correct
39 Correct 200 ms 24168 KB Output is correct
40 Correct 167 ms 27176 KB Output is correct
41 Correct 464 ms 18992 KB Output is correct
42 Correct 259 ms 27724 KB Output is correct
43 Correct 50 ms 16660 KB Output is correct
44 Correct 64 ms 23884 KB Output is correct
45 Correct 92 ms 27800 KB Output is correct
46 Correct 111 ms 17132 KB Output is correct
47 Correct 212 ms 25932 KB Output is correct
48 Correct 276 ms 25172 KB Output is correct
49 Correct 236 ms 18504 KB Output is correct
50 Correct 383 ms 19404 KB Output is correct
51 Correct 262 ms 27468 KB Output is correct
52 Correct 244 ms 31372 KB Output is correct
53 Correct 180 ms 17840 KB Output is correct
54 Correct 189 ms 19020 KB Output is correct
55 Correct 259 ms 26760 KB Output is correct
56 Correct 198 ms 29612 KB Output is correct
57 Correct 260 ms 25084 KB Output is correct
58 Correct 223 ms 25404 KB Output is correct
59 Correct 196 ms 26956 KB Output is correct
60 Correct 187 ms 28772 KB Output is correct
61 Correct 204 ms 27676 KB Output is correct