oj.uz

Submission #1115932

# Submission time Handle Problem Language Result Execution time Memory
1115932 2024-11-21T05:25:40 Z _8_8_ Unique Cities (JOI19_ho_t5) C++17
36 / 100
 2000 ms 62024 KB 
#include <bits/stdc++.h>
    
using namespace std;
    
typedef long long ll;

const int  N = 2e5 + 12, MOD = (int)1e9 + 7;

int n, m, a[N];
bool vis[N], timer;
vector<int> g[N];
vector<vector<int>> dist;
bool zap;
int f(int d) {
    vector<int> D(n + 1, 0);
    timer = 1;
    for(int i = 1; i <= n; i++) {
        vis[i] = 0;
    }
    vis[d] = timer;
    int lst = d;
    queue<int> q;
    q.push(d);
    while(!q.empty()) {
        int v = q.front();
        lst = v;
        q.pop();
        for(int to : g[v]) {
            if(vis[to] != timer) {
                D[to] = D[v] + 1;
                q.push(to);
                vis[to] = timer;
            }
        }
    }
    dist.push_back(D);
    return lst;
}
int dep[N], mxd[N], res[N], d, d1, o, cr, gl[N];
void dfs(int v, int pr = -1) {
    mxd[v] = dep[v];
    for(int to:g[v]) if(to != pr) {
        dep[to] = dep[v] + 1;
        dfs(to, v);
        mxd[v] = max(mxd[v], mxd[to]);
    }
    for(int i = 0; i < (int)g[v].size(); i++) {
        if(g[v][i] == pr) {
            swap(g[v][(int)g[v].size() - 1], g[v][i]);
            break;
        }
    }
    for(int i = 0; i < (int)g[v].size() - 1; i++) {
        if(mxd[g[v][i]] == mxd[v]) {
            swap(g[v][0], g[v][i]);
        }
    }
}
int b = 17, it = 0, cur = 0, ver[N];
int up[N][18];
struct node{
    node *l = 0, *r = 0;
    bool sum = 0;
    node(){};
    node(bool v) {
        sum = v;
    }
    node (node *L, node *R) {
        l = L;
        r = R;
        // sum = l->sum + r->sum;
    }
};
using pnode = node *;
pnode tr[N];    
pnode build(int tl = 1, int tr = m) {
    if(tl == tr) {
        return new node();
    }
    int tm = (tl + tr) >> 1;
    return new node(build(tl, tm), build(tm + 1, tr));
}
pnode upd(int pos, pnode v, int tl = 1, int tr = m) {
    if(tl == tr) {
        return new node(1);
    }
    int tm = (tl + tr) >> 1;
    if(pos <= tm) 
        return new node(upd(pos, v->l, tl, tm), v->r);
    return new node(v->l, upd(pos, v->r, tm + 1, tr));
}
bool get(int pos, pnode v, int tl = 1, int tr = m) {
    if(tl == tr) return v->sum;
    int tm = (tl + tr) >> 1;
    if(pos <= tm) return get(pos, v->l, tl, tm);
    return get(pos, v->r, tm + 1, tr);
}
int rt;
vector<int> e[N];
void bld(int v) {
    int sz = (int)g[v].size() - (rt != v), mx1 = dep[v];
    if(!sz) return;
    for(int i = 1; i < sz; i++) {
        mx1 = max(mx1, mxd[g[v][i]]);
    }
    int bf = cur;
    for(int i = 0; i < sz; i++) {
        int to = g[v][i];
        int mx = dep[v];
        if(i) mx = mxd[g[v][0]];
        if(i < sz - 1) mx = max(mx, mx1);
        mx -= dep[v];
        if(i == 1 && ver[cur] == v) {
            cur = up[cur][0];
        }
        if(i <= 1 && dep[v] - dep[ver[cur]] <= mx) {
            for(int i = b - 1; i >= 0; i--) {
                int nv = up[cur][i];
                if(dep[v] - dep[ver[nv]] <= mx) {
                    cur = nv;
                }
            }
            cur = up[cur][0];
        }
        if(i <= 1 && !get(a[v], tr[cur])) {
            it++;
            e[cur].push_back(it);
            ver[it] = v;
            gl[it] = gl[cur] + 1;
            up[it][0] = cur;
            tr[it] = upd(a[v], tr[cur]);
            for(int i = 1; i < b; i++) {
                up[it][i] = up[up[it][i - 1]][i - 1];
            }
            cur = it;
        }
        bld(to);
    }
    cur = bf;
}
void go(int v) {
    if(dist[cr][v] > dist[o][v] || (dist[cr][v] == dist[o][v] && zap)) {
        int f = cur, val = -mxd[v] + dep[v] * 2;
        set<int> r;
        if(dep[ver[f]] >= val) {
            for(int i = b - 1; i >= 0; i--) {
                int nv = ver[up[f][i]];
                if(dep[nv] >= val) {
                    f = up[f][i];
                }
            }
            f = up[f][0];
        }
        res[v] += gl[f];
    }
    int sz = (int)g[v].size() - (rt != v), mx1 = dep[v];
    if(!sz) return;
    for(int i = 1; i < sz; i++) {
        mx1 = max(mx1, mxd[g[v][i]]);
    }
    int bf = cur;
    for(int i = 0; i < sz; i++) {
        int to = g[v][i];
        int mx = dep[v];
        if(i) mx = mxd[g[v][0]];
        if(i < sz - 1) mx = max(mx, mx1);
        mx -= dep[v];
        if(i == 1) {
            cur = up[cur][0];
        }
        if(i <= 1 && dep[v] - dep[ver[cur]] <= mx) {
            for(int i = b - 1; i >= 0; i--) {
                int nv = up[cur][i];
                if(dep[v] - dep[ver[nv]] <= mx) {
                    cur = nv;
                }
            }
            cur = up[cur][0];
        }
        if(i <= 1) {
            it++;
            ver[it] = v;
            auto check = [&](){
                int f = cur;
                while(f) {
                    if(a[ver[f]] == a[v]) return 0;
                    f = up[f][0];
                }
                return 1;
            };
            gl[it] = gl[cur] + (check());
            up[it][0] = cur;
            // tr[it] = upd(a[v], tr[cur]);
            for(int i = 1; i < b; i++) {
                up[it][i] = up[up[it][i - 1]][i - 1];
            }
            cur = it;
        }
        go(to);
    }
    cur = bf;
}
void solve(int root) {
    it = cur = 0;
    ver[0] = 0;
    dep[0] = -(int)1e9;
    // tr[0] = build();
    rt = root;
    dep[root] = 1;
    dfs(root);

    // bld(root);

    it = cur = 0;

    go(root);

    for(int i = 0; i <= it; i++) {
        e[i].clear();
    }
}
void test() {
    cin >> n >> m;
    for(int i = 1; i <= n - 1; i++) {
        int a, b;
        cin >> a >> b;
        g[a].push_back(b);
        g[b].push_back(a);
    }

    for(int i = 1; i <= n; i++) {
        cin >> a[i];
    }
    d = f(1), d1 = f(d);
    f(d1);
    o = 2;cr = 1;
    solve(d);
    zap = 1;
    o = 1;cr = 2;
    solve(d1);
    for(int i = 1; i <= n; i++) {
        cout << res[i] << '\n';
    }

}
int main() {
    ios_base::sync_with_stdio(false);
    cin.tie(0);

    int t = 1; 
    // cin >> t;

    while(t--) 
        test();
}

Subtask #1
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 16976 KB Output is correct
2 Correct 5 ms 19280 KB Output is correct
3 Correct 6 ms 17232 KB Output is correct
4 Correct 6 ms 19280 KB Output is correct
5 Correct 5 ms 19124 KB Output is correct
6 Correct 5 ms 19280 KB Output is correct
7 Correct 5 ms 19280 KB Output is correct
8 Correct 5 ms 19280 KB Output is correct
9 Correct 5 ms 19280 KB Output is correct
10 Correct 5 ms 19280 KB Output is correct
11 Correct 5 ms 19280 KB Output is correct
12 Correct 4 ms 17084 KB Output is correct
13 Correct 6 ms 19280 KB Output is correct
14 Correct 5 ms 19280 KB Output is correct
15 Correct 5 ms 19280 KB Output is correct
16 Correct 4 ms 17232 KB Output is correct
17 Correct 4 ms 19444 KB Output is correct
18 Correct 4 ms 19280 KB Output is correct
19 Correct 5 ms 19280 KB Output is correct
20 Correct 12 ms 19280 KB Output is correct
21 Correct 6 ms 19280 KB Output is correct
22 Correct 5 ms 19280 KB Output is correct
23 Correct 5 ms 19280 KB Output is correct
24 Correct 6 ms 19280 KB Output is correct
25 Correct 5 ms 19280 KB Output is correct
26 Correct 5 ms 17112 KB Output is correct
27 Correct 10 ms 19280 KB Output is correct
28 Correct 7 ms 19280 KB Output is correct
29 Correct 6 ms 19280 KB Output is correct
30 Correct 4 ms 17232 KB Output is correct
31 Correct 6 ms 19448 KB Output is correct
32 Correct 6 ms 19280 KB Output is correct

Subtask #2
32.0 / 32.0

# Verdict Execution time Memory Grader output
1 Correct 87 ms 31620 KB Output is correct
2 Correct 145 ms 43908 KB Output is correct
3 Correct 23 ms 22052 KB Output is correct
4 Correct 184 ms 40248 KB Output is correct
5 Correct 258 ms 62024 KB Output is correct
6 Correct 208 ms 50988 KB Output is correct
7 Correct 135 ms 40372 KB Output is correct
8 Correct 158 ms 42296 KB Output is correct
9 Correct 164 ms 41788 KB Output is correct
10 Correct 196 ms 41528 KB Output is correct
11 Correct 83 ms 31148 KB Output is correct
12 Correct 351 ms 53816 KB Output is correct
13 Correct 245 ms 51124 KB Output is correct
14 Correct 214 ms 50496 KB Output is correct
15 Correct 85 ms 29356 KB Output is correct
16 Correct 231 ms 53052 KB Output is correct
17 Correct 192 ms 51380 KB Output is correct

Subtask #3
0 / 32.0

# Verdict Execution time Memory Grader output
1 Correct 147 ms 35804 KB Output is correct
2 Execution timed out 2065 ms 49676 KB Time limit exceeded
3 Halted 0 ms 0 KB -

Subtask #4
0 / 32.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 16976 KB Output is correct
2 Correct 5 ms 19280 KB Output is correct
3 Correct 6 ms 17232 KB Output is correct
4 Correct 6 ms 19280 KB Output is correct
5 Correct 5 ms 19124 KB Output is correct
6 Correct 5 ms 19280 KB Output is correct
7 Correct 5 ms 19280 KB Output is correct
8 Correct 5 ms 19280 KB Output is correct
9 Correct 5 ms 19280 KB Output is correct
10 Correct 5 ms 19280 KB Output is correct
11 Correct 5 ms 19280 KB Output is correct
12 Correct 4 ms 17084 KB Output is correct
13 Correct 6 ms 19280 KB Output is correct
14 Correct 5 ms 19280 KB Output is correct
15 Correct 5 ms 19280 KB Output is correct
16 Correct 4 ms 17232 KB Output is correct
17 Correct 4 ms 19444 KB Output is correct
18 Correct 4 ms 19280 KB Output is correct
19 Correct 5 ms 19280 KB Output is correct
20 Correct 12 ms 19280 KB Output is correct
21 Correct 6 ms 19280 KB Output is correct
22 Correct 5 ms 19280 KB Output is correct
23 Correct 5 ms 19280 KB Output is correct
24 Correct 6 ms 19280 KB Output is correct
25 Correct 5 ms 19280 KB Output is correct
26 Correct 5 ms 17112 KB Output is correct
27 Correct 10 ms 19280 KB Output is correct
28 Correct 7 ms 19280 KB Output is correct
29 Correct 6 ms 19280 KB Output is correct
30 Correct 4 ms 17232 KB Output is correct
31 Correct 6 ms 19448 KB Output is correct
32 Correct 6 ms 19280 KB Output is correct
33 Correct 87 ms 31620 KB Output is correct
34 Correct 145 ms 43908 KB Output is correct
35 Correct 23 ms 22052 KB Output is correct
36 Correct 184 ms 40248 KB Output is correct
37 Correct 258 ms 62024 KB Output is correct
38 Correct 208 ms 50988 KB Output is correct
39 Correct 135 ms 40372 KB Output is correct
40 Correct 158 ms 42296 KB Output is correct
41 Correct 164 ms 41788 KB Output is correct
42 Correct 196 ms 41528 KB Output is correct
43 Correct 83 ms 31148 KB Output is correct
44 Correct 351 ms 53816 KB Output is correct
45 Correct 245 ms 51124 KB Output is correct
46 Correct 214 ms 50496 KB Output is correct
47 Correct 85 ms 29356 KB Output is correct
48 Correct 231 ms 53052 KB Output is correct
49 Correct 192 ms 51380 KB Output is correct
50 Correct 147 ms 35804 KB Output is correct
51 Execution timed out 2065 ms 49676 KB Time limit exceeded
52 Halted 0 ms 0 KB -