Submission #746949

# Submission time Handle Problem Language Result Execution time Memory
746949 2023-05-23T09:22:30 Z Sami_Massah Construction of Highway (JOI18_construction) C++17
16 / 100
2000 ms 36520 KB
#include <bits/stdc++.h>
using namespace std;



const int maxn = 2e5 + 12, lg = 20;
int n, s, L[maxn * 4], R[maxn * 4], sum[maxn * 4], par[maxn][lg], mx[maxn * 4], st[maxn], en[maxn], h[maxn], U[maxn], V[maxn], bcnv[maxn], c[maxn];
vector <int> conn[maxn], pos;
vector <tuple<int, int, int>> seg;
bitset <maxn> marked;
map <int, int> cnv;
void make_tree(int l, int r, int ind){
    int mid = (l + r) / 2;
    L[ind] = l;
    R[ind] = r;
    if(l == r)
        return;
    make_tree(l, mid, ind * 2);
    make_tree(mid + 1, r, ind * 2 + 1);
}
void update_tree_sum(int l, int r, int u, int k, bool add = 0){
    if(r < L[u] || R[u] < l)
        return;
    if(l <= L[u] && R[u] <= r){
        if(add == 0)
            sum[u] = k;
        else
            sum[u] += k;
        return;
    }
    update_tree_sum(l, r, u * 2, k, add);
    update_tree_sum(l, r, u * 2 + 1, k, add);
    sum[u] = (sum[u * 2] + sum[u * 2 + 1]);
}
void update_tree_mx(int l, int r, int u, int k){
    if(r < L[u] || R[u] < l)
        return;
    if(l <= L[u] && R[u] <= r){
        mx[u] = k;
        return;
    }
    update_tree_mx(l, r, u * 2, k);
    update_tree_mx(l, r, u * 2 + 1, k);
    mx[u] = max(mx[u * 2], mx[u * 2 + 1]);

}
int get_sum(int l, int r, int u){
    if(r < L[u] || R[u] < l)
        return 0;
    if(l <= L[u] && R[u] <= r)
        return sum[u];
    return get_sum(l, r, u * 2) + get_sum(l, r, u * 2 + 1);
}
int get_max(int l, int r, int u){
    if(r < L[u] || R[u] < l)
        return 0;
    if(l <= L[u] && R[u] <= r)
        return mx[u];

    return max(get_max(l, r, u * 2), get_max(l, r, u * 2 + 1));
}
int kpar(int u, int k){
    for(int i = 0; i < lg; i++)
        if((k >> i) & 1)
            u = par[u][i];
    return u;
}
int lca(int a, int b){
    if(h[a] < h[b])
        swap(a, b);
 //   cout << a << '-' << b << endl;
   // cout << h[a] << ' ' << h[b] << endl;
    a = kpar(a, h[a] - h[b]);
    if(a == b)
        return a;
    //cout << a << '-' << b << endl;
    for(int i = lg - 1; i >= 0; i--)
        if(par[a][i] != par[b][i]){
            a = par[a][i];
            b = par[b][i];
        }
    return par[a][0];
}
void dfs_set(int u){
    marked[u] = 1;
    for(int i = 1; i < lg; i++)
        par[u][i] = par[par[u][i - 1]][i - 1];
    st[u] = s;
    s += 1;
    for(int v: conn[u])
        if(!marked[v]){
            h[v] = h[u] + 1;
        //    cout << u << ' ' << v << ' ' << h[v] << endl;
            par[v][0] = u;
            dfs_set(v);
        }
    en[u] = s - 1;
}
void get_seg(int u){
    seg.clear();
    int now = 1, res = -1;

    while(res != u){
       // cout << st[now] << ' ' << en[now] << endl;
        res = get_max(st[now], en[now], 1);
    //    cout << res << endl;
        res = bcnv[res];
      //  cout << res << endl;
        //cout << u << ' ' << res << endl;
        int nc = c[res];
        res = lca(res, u);
    //    cout << res << endl;
       // cout << now << ' ' << res << endl;

        seg.push_back(make_tuple(now, res, nc));
        if(res != u)
            now = kpar(u, h[u] - h[res] - 1);
        //cout << now << endl;

    }
    return;
}
long long get_ans(){
    long long nat = 0;
    for(auto i: seg){
     //   cout << get<0>(i) << ' ' << get<1>(i) << ' ' << get<2>(i) << endl;
        int len = h[get<1>(i)] - h[get<0>(i)] + 1;
        nat += get_sum(get<2>(i) + 1, n, 1) * len;
        update_tree_sum(get<2>(i), get<2>(i), 1, len, 1);
    }
    for(auto i: seg)
        update_tree_sum(get<2>(i), get<2>(i), 1, 0);
    return nat;
}
int main(){
    ios_base::sync_with_stdio(false), cin.tie(0);
    cin >> n;
    for(int i = 0; i < n; i++){
        cin >> c[i + 1];
        pos.push_back(c[i + 1]);
        }
    sort(pos.begin(), pos.end());
    int now = 1;
    for(int i: pos)
        if(cnv[i] == 0){
            cnv[i] = now;
            now += 1;
        }
    for(int i = 1; i <= n; i++)
        c[i] = cnv[c[i]];
    for(int i = 0; i < n - 1; i++){
        cin >> U[i] >> V[i];

        conn[U[i]].push_back(V[i]);
        conn[V[i]].push_back(U[i]);
    }

    dfs_set(1);
    make_tree(0, n, 1);
    update_tree_mx(st[1], st[1], 1, 1);

    bcnv[1] = 1;

    for(int i = 0; i < n - 1; i++){
        long long ans = 0;
        get_seg(U[i]);
        ans += get_ans();
       // cout << st[V[i]] << endl;
        update_tree_mx(st[V[i]], st[V[i]], 1, i + 2);
      //  cout << get_max(0, 4, 1) << endl;
        bcnv[i + 2] = V[i];
        cout << ans << "\n";
  //      cout << endl;
       // cout << endl;
        //if(i == 2)
          //  return 0;
    }






}
# Verdict Execution time Memory Grader output
1 Correct 3 ms 5204 KB Output is correct
2 Correct 3 ms 5076 KB Output is correct
3 Correct 3 ms 5076 KB Output is correct
4 Correct 4 ms 5084 KB Output is correct
5 Correct 4 ms 5164 KB Output is correct
6 Correct 4 ms 5204 KB Output is correct
7 Correct 4 ms 5204 KB Output is correct
8 Correct 4 ms 5164 KB Output is correct
9 Correct 4 ms 5204 KB Output is correct
10 Correct 3 ms 5204 KB Output is correct
11 Correct 4 ms 5204 KB Output is correct
12 Correct 4 ms 5204 KB Output is correct
13 Correct 4 ms 5164 KB Output is correct
14 Correct 4 ms 5204 KB Output is correct
15 Correct 6 ms 5160 KB Output is correct
16 Correct 5 ms 5204 KB Output is correct
17 Correct 5 ms 5164 KB Output is correct
18 Correct 5 ms 5204 KB Output is correct
19 Correct 4 ms 5204 KB Output is correct
20 Correct 4 ms 5204 KB Output is correct
21 Correct 4 ms 5204 KB Output is correct
22 Correct 4 ms 5164 KB Output is correct
23 Correct 4 ms 5076 KB Output is correct
24 Correct 4 ms 5164 KB Output is correct
25 Correct 5 ms 5076 KB Output is correct
26 Correct 3 ms 5164 KB Output is correct
27 Correct 3 ms 5204 KB Output is correct
28 Correct 4 ms 5204 KB Output is correct
29 Correct 4 ms 5204 KB Output is correct
30 Correct 5 ms 5204 KB Output is correct
31 Correct 5 ms 5164 KB Output is correct
32 Correct 3 ms 5076 KB Output is correct
33 Correct 4 ms 5204 KB Output is correct
34 Correct 4 ms 5204 KB Output is correct
35 Correct 4 ms 5204 KB Output is correct
36 Correct 4 ms 5076 KB Output is correct
37 Correct 4 ms 5168 KB Output is correct
38 Correct 4 ms 5076 KB Output is correct
39 Correct 4 ms 5204 KB Output is correct
40 Correct 4 ms 5204 KB Output is correct
41 Correct 4 ms 5204 KB Output is correct
42 Correct 4 ms 5164 KB Output is correct
43 Correct 3 ms 5156 KB Output is correct
44 Correct 4 ms 5176 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 3 ms 5204 KB Output is correct
2 Correct 3 ms 5076 KB Output is correct
3 Correct 3 ms 5076 KB Output is correct
4 Correct 4 ms 5084 KB Output is correct
5 Correct 4 ms 5164 KB Output is correct
6 Correct 4 ms 5204 KB Output is correct
7 Correct 4 ms 5204 KB Output is correct
8 Correct 4 ms 5164 KB Output is correct
9 Correct 4 ms 5204 KB Output is correct
10 Correct 3 ms 5204 KB Output is correct
11 Correct 4 ms 5204 KB Output is correct
12 Correct 4 ms 5204 KB Output is correct
13 Correct 4 ms 5164 KB Output is correct
14 Correct 4 ms 5204 KB Output is correct
15 Correct 6 ms 5160 KB Output is correct
16 Correct 5 ms 5204 KB Output is correct
17 Correct 5 ms 5164 KB Output is correct
18 Correct 5 ms 5204 KB Output is correct
19 Correct 4 ms 5204 KB Output is correct
20 Correct 4 ms 5204 KB Output is correct
21 Correct 4 ms 5204 KB Output is correct
22 Correct 4 ms 5164 KB Output is correct
23 Correct 4 ms 5076 KB Output is correct
24 Correct 4 ms 5164 KB Output is correct
25 Correct 5 ms 5076 KB Output is correct
26 Correct 3 ms 5164 KB Output is correct
27 Correct 3 ms 5204 KB Output is correct
28 Correct 4 ms 5204 KB Output is correct
29 Correct 4 ms 5204 KB Output is correct
30 Correct 5 ms 5204 KB Output is correct
31 Correct 5 ms 5164 KB Output is correct
32 Correct 3 ms 5076 KB Output is correct
33 Correct 4 ms 5204 KB Output is correct
34 Correct 4 ms 5204 KB Output is correct
35 Correct 4 ms 5204 KB Output is correct
36 Correct 4 ms 5076 KB Output is correct
37 Correct 4 ms 5168 KB Output is correct
38 Correct 4 ms 5076 KB Output is correct
39 Correct 4 ms 5204 KB Output is correct
40 Correct 4 ms 5204 KB Output is correct
41 Correct 4 ms 5204 KB Output is correct
42 Correct 4 ms 5164 KB Output is correct
43 Correct 3 ms 5156 KB Output is correct
44 Correct 4 ms 5176 KB Output is correct
45 Correct 6 ms 5332 KB Output is correct
46 Correct 18 ms 6064 KB Output is correct
47 Correct 19 ms 6064 KB Output is correct
48 Correct 18 ms 6148 KB Output is correct
49 Correct 9 ms 6228 KB Output is correct
50 Correct 10 ms 6228 KB Output is correct
51 Correct 9 ms 6196 KB Output is correct
52 Correct 9 ms 6156 KB Output is correct
53 Correct 11 ms 6196 KB Output is correct
54 Correct 10 ms 6196 KB Output is correct
55 Correct 11 ms 6220 KB Output is correct
56 Correct 10 ms 6100 KB Output is correct
57 Correct 30 ms 6012 KB Output is correct
58 Correct 33 ms 5972 KB Output is correct
59 Correct 34 ms 6048 KB Output is correct
60 Correct 34 ms 6040 KB Output is correct
61 Correct 11 ms 6100 KB Output is correct
62 Correct 11 ms 6196 KB Output is correct
63 Correct 10 ms 6100 KB Output is correct
64 Correct 14 ms 5844 KB Output is correct
65 Correct 15 ms 5812 KB Output is correct
66 Correct 18 ms 5844 KB Output is correct
67 Correct 18 ms 5924 KB Output is correct
68 Correct 8 ms 6064 KB Output is correct
69 Correct 10 ms 6100 KB Output is correct
70 Correct 9 ms 5896 KB Output is correct
71 Correct 10 ms 5896 KB Output is correct
72 Correct 30 ms 6016 KB Output is correct
73 Correct 30 ms 5808 KB Output is correct
74 Correct 9 ms 5844 KB Output is correct
75 Correct 10 ms 6108 KB Output is correct
76 Correct 10 ms 5972 KB Output is correct
77 Correct 10 ms 6068 KB Output is correct
78 Correct 8 ms 5812 KB Output is correct
79 Correct 8 ms 5764 KB Output is correct
80 Correct 9 ms 5844 KB Output is correct
81 Correct 12 ms 6100 KB Output is correct
82 Correct 12 ms 5972 KB Output is correct
83 Correct 14 ms 5972 KB Output is correct
84 Correct 10 ms 5844 KB Output is correct
85 Correct 11 ms 5816 KB Output is correct
86 Correct 10 ms 5844 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 3 ms 5204 KB Output is correct
2 Correct 3 ms 5076 KB Output is correct
3 Correct 3 ms 5076 KB Output is correct
4 Correct 4 ms 5084 KB Output is correct
5 Correct 4 ms 5164 KB Output is correct
6 Correct 4 ms 5204 KB Output is correct
7 Correct 4 ms 5204 KB Output is correct
8 Correct 4 ms 5164 KB Output is correct
9 Correct 4 ms 5204 KB Output is correct
10 Correct 3 ms 5204 KB Output is correct
11 Correct 4 ms 5204 KB Output is correct
12 Correct 4 ms 5204 KB Output is correct
13 Correct 4 ms 5164 KB Output is correct
14 Correct 4 ms 5204 KB Output is correct
15 Correct 6 ms 5160 KB Output is correct
16 Correct 5 ms 5204 KB Output is correct
17 Correct 5 ms 5164 KB Output is correct
18 Correct 5 ms 5204 KB Output is correct
19 Correct 4 ms 5204 KB Output is correct
20 Correct 4 ms 5204 KB Output is correct
21 Correct 4 ms 5204 KB Output is correct
22 Correct 4 ms 5164 KB Output is correct
23 Correct 4 ms 5076 KB Output is correct
24 Correct 4 ms 5164 KB Output is correct
25 Correct 5 ms 5076 KB Output is correct
26 Correct 3 ms 5164 KB Output is correct
27 Correct 3 ms 5204 KB Output is correct
28 Correct 4 ms 5204 KB Output is correct
29 Correct 4 ms 5204 KB Output is correct
30 Correct 5 ms 5204 KB Output is correct
31 Correct 5 ms 5164 KB Output is correct
32 Correct 3 ms 5076 KB Output is correct
33 Correct 4 ms 5204 KB Output is correct
34 Correct 4 ms 5204 KB Output is correct
35 Correct 4 ms 5204 KB Output is correct
36 Correct 4 ms 5076 KB Output is correct
37 Correct 4 ms 5168 KB Output is correct
38 Correct 4 ms 5076 KB Output is correct
39 Correct 4 ms 5204 KB Output is correct
40 Correct 4 ms 5204 KB Output is correct
41 Correct 4 ms 5204 KB Output is correct
42 Correct 4 ms 5164 KB Output is correct
43 Correct 3 ms 5156 KB Output is correct
44 Correct 4 ms 5176 KB Output is correct
45 Correct 6 ms 5332 KB Output is correct
46 Correct 18 ms 6064 KB Output is correct
47 Correct 19 ms 6064 KB Output is correct
48 Correct 18 ms 6148 KB Output is correct
49 Correct 9 ms 6228 KB Output is correct
50 Correct 10 ms 6228 KB Output is correct
51 Correct 9 ms 6196 KB Output is correct
52 Correct 9 ms 6156 KB Output is correct
53 Correct 11 ms 6196 KB Output is correct
54 Correct 10 ms 6196 KB Output is correct
55 Correct 11 ms 6220 KB Output is correct
56 Correct 10 ms 6100 KB Output is correct
57 Correct 30 ms 6012 KB Output is correct
58 Correct 33 ms 5972 KB Output is correct
59 Correct 34 ms 6048 KB Output is correct
60 Correct 34 ms 6040 KB Output is correct
61 Correct 11 ms 6100 KB Output is correct
62 Correct 11 ms 6196 KB Output is correct
63 Correct 10 ms 6100 KB Output is correct
64 Correct 14 ms 5844 KB Output is correct
65 Correct 15 ms 5812 KB Output is correct
66 Correct 18 ms 5844 KB Output is correct
67 Correct 18 ms 5924 KB Output is correct
68 Correct 8 ms 6064 KB Output is correct
69 Correct 10 ms 6100 KB Output is correct
70 Correct 9 ms 5896 KB Output is correct
71 Correct 10 ms 5896 KB Output is correct
72 Correct 30 ms 6016 KB Output is correct
73 Correct 30 ms 5808 KB Output is correct
74 Correct 9 ms 5844 KB Output is correct
75 Correct 10 ms 6108 KB Output is correct
76 Correct 10 ms 5972 KB Output is correct
77 Correct 10 ms 6068 KB Output is correct
78 Correct 8 ms 5812 KB Output is correct
79 Correct 8 ms 5764 KB Output is correct
80 Correct 9 ms 5844 KB Output is correct
81 Correct 12 ms 6100 KB Output is correct
82 Correct 12 ms 5972 KB Output is correct
83 Correct 14 ms 5972 KB Output is correct
84 Correct 10 ms 5844 KB Output is correct
85 Correct 11 ms 5816 KB Output is correct
86 Correct 10 ms 5844 KB Output is correct
87 Correct 57 ms 7728 KB Output is correct
88 Correct 199 ms 12588 KB Output is correct
89 Correct 921 ms 30720 KB Output is correct
90 Correct 960 ms 30392 KB Output is correct
91 Correct 902 ms 30536 KB Output is correct
92 Correct 241 ms 36512 KB Output is correct
93 Correct 247 ms 36520 KB Output is correct
94 Correct 241 ms 36452 KB Output is correct
95 Correct 289 ms 34196 KB Output is correct
96 Correct 334 ms 34628 KB Output is correct
97 Correct 312 ms 34604 KB Output is correct
98 Correct 328 ms 34508 KB Output is correct
99 Correct 317 ms 33712 KB Output is correct
100 Correct 1609 ms 30092 KB Output is correct
101 Correct 1948 ms 30476 KB Output is correct
102 Execution timed out 2003 ms 30616 KB Time limit exceeded
103 Halted 0 ms 0 KB -