Submission #747063

# Submission time Handle Problem Language Result Execution time Memory
747063 2023-05-23T14:41:35 Z Sami_Massah Construction of Highway (JOI18_construction) C++11
100 / 100
1912 ms 33220 KB
#include <bits/stdc++.h>
using namespace std;



const int maxn = 2e5 + 12, lg = 17;
int n, s, cnt, 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;
        cnt += 1;
        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;
        if(cnt > 18 * n)
            cout << (10 / 0) << endl;
    }






}

Compilation message

construction.cpp: In function 'int main()':
construction.cpp:179:25: warning: division by zero [-Wdiv-by-zero]
  179 |             cout << (10 / 0) << endl;
      |                      ~~~^~~
# Verdict Execution time Memory Grader output
1 Correct 3 ms 5076 KB Output is correct
2 Correct 3 ms 5076 KB Output is correct
3 Correct 3 ms 5076 KB Output is correct
4 Correct 3 ms 5076 KB Output is correct
5 Correct 6 ms 5076 KB Output is correct
6 Correct 4 ms 5108 KB Output is correct
7 Correct 5 ms 5204 KB Output is correct
8 Correct 4 ms 5204 KB Output is correct
9 Correct 3 ms 5192 KB Output is correct
10 Correct 3 ms 5204 KB Output is correct
11 Correct 4 ms 5204 KB Output is correct
12 Correct 6 ms 5212 KB Output is correct
13 Correct 5 ms 5204 KB Output is correct
14 Correct 5 ms 5104 KB Output is correct
15 Correct 6 ms 5132 KB Output is correct
16 Correct 5 ms 5076 KB Output is correct
17 Correct 4 ms 5076 KB Output is correct
18 Correct 5 ms 5076 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 5 ms 5080 KB Output is correct
23 Correct 4 ms 5076 KB Output is correct
24 Correct 4 ms 5076 KB Output is correct
25 Correct 4 ms 5076 KB Output is correct
26 Correct 4 ms 5204 KB Output is correct
27 Correct 5 ms 5204 KB Output is correct
28 Correct 3 ms 5076 KB Output is correct
29 Correct 4 ms 5076 KB Output is correct
30 Correct 5 ms 5076 KB Output is correct
31 Correct 5 ms 5076 KB Output is correct
32 Correct 3 ms 5076 KB Output is correct
33 Correct 3 ms 5076 KB Output is correct
34 Correct 4 ms 5076 KB Output is correct
35 Correct 3 ms 5148 KB Output is correct
36 Correct 3 ms 5076 KB Output is correct
37 Correct 4 ms 5076 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 5076 KB Output is correct
41 Correct 4 ms 5204 KB Output is correct
42 Correct 4 ms 5076 KB Output is correct
43 Correct 4 ms 5076 KB Output is correct
44 Correct 4 ms 5076 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 3 ms 5076 KB Output is correct
2 Correct 3 ms 5076 KB Output is correct
3 Correct 3 ms 5076 KB Output is correct
4 Correct 3 ms 5076 KB Output is correct
5 Correct 6 ms 5076 KB Output is correct
6 Correct 4 ms 5108 KB Output is correct
7 Correct 5 ms 5204 KB Output is correct
8 Correct 4 ms 5204 KB Output is correct
9 Correct 3 ms 5192 KB Output is correct
10 Correct 3 ms 5204 KB Output is correct
11 Correct 4 ms 5204 KB Output is correct
12 Correct 6 ms 5212 KB Output is correct
13 Correct 5 ms 5204 KB Output is correct
14 Correct 5 ms 5104 KB Output is correct
15 Correct 6 ms 5132 KB Output is correct
16 Correct 5 ms 5076 KB Output is correct
17 Correct 4 ms 5076 KB Output is correct
18 Correct 5 ms 5076 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 5 ms 5080 KB Output is correct
23 Correct 4 ms 5076 KB Output is correct
24 Correct 4 ms 5076 KB Output is correct
25 Correct 4 ms 5076 KB Output is correct
26 Correct 4 ms 5204 KB Output is correct
27 Correct 5 ms 5204 KB Output is correct
28 Correct 3 ms 5076 KB Output is correct
29 Correct 4 ms 5076 KB Output is correct
30 Correct 5 ms 5076 KB Output is correct
31 Correct 5 ms 5076 KB Output is correct
32 Correct 3 ms 5076 KB Output is correct
33 Correct 3 ms 5076 KB Output is correct
34 Correct 4 ms 5076 KB Output is correct
35 Correct 3 ms 5148 KB Output is correct
36 Correct 3 ms 5076 KB Output is correct
37 Correct 4 ms 5076 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 5076 KB Output is correct
41 Correct 4 ms 5204 KB Output is correct
42 Correct 4 ms 5076 KB Output is correct
43 Correct 4 ms 5076 KB Output is correct
44 Correct 4 ms 5076 KB Output is correct
45 Correct 6 ms 5204 KB Output is correct
46 Correct 21 ms 5948 KB Output is correct
47 Correct 20 ms 5964 KB Output is correct
48 Correct 22 ms 5844 KB Output is correct
49 Correct 10 ms 6132 KB Output is correct
50 Correct 10 ms 6188 KB Output is correct
51 Correct 9 ms 6100 KB Output is correct
52 Correct 10 ms 6052 KB Output is correct
53 Correct 11 ms 6108 KB Output is correct
54 Correct 11 ms 6100 KB Output is correct
55 Correct 11 ms 6100 KB Output is correct
56 Correct 10 ms 5972 KB Output is correct
57 Correct 31 ms 5916 KB Output is correct
58 Correct 35 ms 5932 KB Output is correct
59 Correct 35 ms 5928 KB Output is correct
60 Correct 39 ms 5892 KB Output is correct
61 Correct 11 ms 5972 KB Output is correct
62 Correct 11 ms 5972 KB Output is correct
63 Correct 11 ms 6020 KB Output is correct
64 Correct 16 ms 5724 KB Output is correct
65 Correct 15 ms 5728 KB Output is correct
66 Correct 24 ms 5716 KB Output is correct
67 Correct 19 ms 5816 KB Output is correct
68 Correct 9 ms 5964 KB Output is correct
69 Correct 13 ms 6100 KB Output is correct
70 Correct 9 ms 5844 KB Output is correct
71 Correct 8 ms 5844 KB Output is correct
72 Correct 32 ms 5936 KB Output is correct
73 Correct 33 ms 5724 KB Output is correct
74 Correct 9 ms 5844 KB Output is correct
75 Correct 10 ms 5972 KB Output is correct
76 Correct 11 ms 5972 KB Output is correct
77 Correct 10 ms 5940 KB Output is correct
78 Correct 10 ms 5784 KB Output is correct
79 Correct 9 ms 5716 KB Output is correct
80 Correct 9 ms 5748 KB Output is correct
81 Correct 12 ms 5908 KB Output is correct
82 Correct 12 ms 5972 KB Output is correct
83 Correct 12 ms 5844 KB Output is correct
84 Correct 9 ms 5716 KB Output is correct
85 Correct 10 ms 5716 KB Output is correct
86 Correct 10 ms 5716 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 3 ms 5076 KB Output is correct
2 Correct 3 ms 5076 KB Output is correct
3 Correct 3 ms 5076 KB Output is correct
4 Correct 3 ms 5076 KB Output is correct
5 Correct 6 ms 5076 KB Output is correct
6 Correct 4 ms 5108 KB Output is correct
7 Correct 5 ms 5204 KB Output is correct
8 Correct 4 ms 5204 KB Output is correct
9 Correct 3 ms 5192 KB Output is correct
10 Correct 3 ms 5204 KB Output is correct
11 Correct 4 ms 5204 KB Output is correct
12 Correct 6 ms 5212 KB Output is correct
13 Correct 5 ms 5204 KB Output is correct
14 Correct 5 ms 5104 KB Output is correct
15 Correct 6 ms 5132 KB Output is correct
16 Correct 5 ms 5076 KB Output is correct
17 Correct 4 ms 5076 KB Output is correct
18 Correct 5 ms 5076 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 5 ms 5080 KB Output is correct
23 Correct 4 ms 5076 KB Output is correct
24 Correct 4 ms 5076 KB Output is correct
25 Correct 4 ms 5076 KB Output is correct
26 Correct 4 ms 5204 KB Output is correct
27 Correct 5 ms 5204 KB Output is correct
28 Correct 3 ms 5076 KB Output is correct
29 Correct 4 ms 5076 KB Output is correct
30 Correct 5 ms 5076 KB Output is correct
31 Correct 5 ms 5076 KB Output is correct
32 Correct 3 ms 5076 KB Output is correct
33 Correct 3 ms 5076 KB Output is correct
34 Correct 4 ms 5076 KB Output is correct
35 Correct 3 ms 5148 KB Output is correct
36 Correct 3 ms 5076 KB Output is correct
37 Correct 4 ms 5076 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 5076 KB Output is correct
41 Correct 4 ms 5204 KB Output is correct
42 Correct 4 ms 5076 KB Output is correct
43 Correct 4 ms 5076 KB Output is correct
44 Correct 4 ms 5076 KB Output is correct
45 Correct 6 ms 5204 KB Output is correct
46 Correct 21 ms 5948 KB Output is correct
47 Correct 20 ms 5964 KB Output is correct
48 Correct 22 ms 5844 KB Output is correct
49 Correct 10 ms 6132 KB Output is correct
50 Correct 10 ms 6188 KB Output is correct
51 Correct 9 ms 6100 KB Output is correct
52 Correct 10 ms 6052 KB Output is correct
53 Correct 11 ms 6108 KB Output is correct
54 Correct 11 ms 6100 KB Output is correct
55 Correct 11 ms 6100 KB Output is correct
56 Correct 10 ms 5972 KB Output is correct
57 Correct 31 ms 5916 KB Output is correct
58 Correct 35 ms 5932 KB Output is correct
59 Correct 35 ms 5928 KB Output is correct
60 Correct 39 ms 5892 KB Output is correct
61 Correct 11 ms 5972 KB Output is correct
62 Correct 11 ms 5972 KB Output is correct
63 Correct 11 ms 6020 KB Output is correct
64 Correct 16 ms 5724 KB Output is correct
65 Correct 15 ms 5728 KB Output is correct
66 Correct 24 ms 5716 KB Output is correct
67 Correct 19 ms 5816 KB Output is correct
68 Correct 9 ms 5964 KB Output is correct
69 Correct 13 ms 6100 KB Output is correct
70 Correct 9 ms 5844 KB Output is correct
71 Correct 8 ms 5844 KB Output is correct
72 Correct 32 ms 5936 KB Output is correct
73 Correct 33 ms 5724 KB Output is correct
74 Correct 9 ms 5844 KB Output is correct
75 Correct 10 ms 5972 KB Output is correct
76 Correct 11 ms 5972 KB Output is correct
77 Correct 10 ms 5940 KB Output is correct
78 Correct 10 ms 5784 KB Output is correct
79 Correct 9 ms 5716 KB Output is correct
80 Correct 9 ms 5748 KB Output is correct
81 Correct 12 ms 5908 KB Output is correct
82 Correct 12 ms 5972 KB Output is correct
83 Correct 12 ms 5844 KB Output is correct
84 Correct 9 ms 5716 KB Output is correct
85 Correct 10 ms 5716 KB Output is correct
86 Correct 10 ms 5716 KB Output is correct
87 Correct 51 ms 7396 KB Output is correct
88 Correct 196 ms 11488 KB Output is correct
89 Correct 996 ms 27284 KB Output is correct
90 Correct 939 ms 27232 KB Output is correct
91 Correct 1008 ms 27196 KB Output is correct
92 Correct 270 ms 33192 KB Output is correct
93 Correct 291 ms 33212 KB Output is correct
94 Correct 266 ms 33220 KB Output is correct
95 Correct 334 ms 31308 KB Output is correct
96 Correct 381 ms 31316 KB Output is correct
97 Correct 393 ms 31212 KB Output is correct
98 Correct 400 ms 31236 KB Output is correct
99 Correct 398 ms 30300 KB Output is correct
100 Correct 1622 ms 27176 KB Output is correct
101 Correct 1912 ms 27100 KB Output is correct
102 Correct 1890 ms 29276 KB Output is correct
103 Correct 1858 ms 29204 KB Output is correct
104 Correct 398 ms 32408 KB Output is correct
105 Correct 469 ms 32344 KB Output is correct
106 Correct 394 ms 32396 KB Output is correct
107 Correct 732 ms 22884 KB Output is correct
108 Correct 802 ms 23008 KB Output is correct
109 Correct 911 ms 25080 KB Output is correct
110 Correct 202 ms 29020 KB Output is correct
111 Correct 283 ms 32936 KB Output is correct
112 Correct 236 ms 27088 KB Output is correct
113 Correct 224 ms 26160 KB Output is correct
114 Correct 1659 ms 28996 KB Output is correct
115 Correct 1657 ms 22860 KB Output is correct
116 Correct 290 ms 26200 KB Output is correct
117 Correct 371 ms 30136 KB Output is correct
118 Correct 317 ms 29628 KB Output is correct
119 Correct 300 ms 29328 KB Output is correct
120 Correct 240 ms 24320 KB Output is correct
121 Correct 240 ms 23972 KB Output is correct
122 Correct 224 ms 23700 KB Output is correct
123 Correct 456 ms 30424 KB Output is correct
124 Correct 427 ms 29664 KB Output is correct
125 Correct 449 ms 29436 KB Output is correct
126 Correct 361 ms 24640 KB Output is correct
127 Correct 325 ms 24024 KB Output is correct
128 Correct 408 ms 23744 KB Output is correct