oj.uz

Submission #823324

# Submission time Handle Problem Language Result Execution time Memory
823324 2023-08-12T10:44:28 Z LucaIlie Construction of Highway (JOI18_construction) C++17
16 / 100
 945 ms 39880 KB 
#include <bits/stdc++.h>
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
#define debug(x) cerr << #x << " " << x << "\n"
#define debugs(x) cerr << #x << " " << x << " "
#pragma GCC optimize("Ofast,unroll-loops")
 
using namespace std;
using namespace __gnu_pbds;
typedef long long ll;
typedef pair <ll, ll> pii;
typedef pair <long double, pii> muchie;
typedef tree <ll, null_type, less_equal <ll>, rb_tree_tag, tree_order_statistics_node_update> OST;
 
const ll NMAX = 100001;
const ll INF = (1LL << 60);
const ll HALF = (1LL << 59);
const ll MOD = 1000000007;
const ll BLOCK = 318;
const ll base = 31;
const ll nr_of_bits = 21;
 
ll n;
ll dp[NMAX][nr_of_bits + 1];
 
class All {
public:
    ll all[NMAX * 4];
    ll lazy[NMAX * 4];
    void propaga(ll node, ll st, ll dr) {
        if(!lazy[node])
            return;
        if(st != dr) {
            lazy[node * 2] = lazy[node];
            lazy[node * 2 + 1] = lazy[node];
        }
        all[node] = lazy[node];
        lazy[node] = 0;
    }
    void update(ll node, ll st, ll dr, ll a, ll b, ll val) {
        propaga(node, st, dr);
        if(a <= st && dr <= b) {
            lazy[node] = val;
                  propaga(node, st, dr);
 
            return;
        }
        ll mid = (st + dr) / 2;
        propaga(node * 2, st, mid);
        propaga(node * 2 + 1, mid + 1, dr);
        if(a <= mid) {
            update(node * 2, st, mid, a, b, val);
        }
        if(b > mid) {
            update(node * 2 + 1, mid + 1, dr, a, b, val);
        }
        propaga(node * 2, st, mid);
        propaga(node * 2 + 1, mid + 1, dr);
        all[node] = max(all[node * 2], all[node * 2 + 1]);
    }
    ll maxim(ll node, ll st, ll dr, ll a, ll b) {
        propaga(node, st, dr);
        if(a <= st && dr <= b) {
            return all[node];
        }
        ll mid = (st + dr) / 2;
        ll sol = 0;
        propaga(node * 2, st, mid);
        propaga(node * 2 + 1, mid + 1, dr);
        if(a <= mid) {
            sol = max(sol, maxim(node * 2, st, mid, a, b));
        }
        if(b > mid) {
            sol = max(sol, maxim(node * 2 + 1, mid + 1, dr, a, b));
        }
        return sol;
    }
} st;
 
ll poz[NMAX];
ll stamp;
ll sz[NMAX];
ll heavy[NMAX];
ll a[NMAX];
vector <ll> v[NMAX];
 
void getsize(ll node, ll p) {
    sz[node] = 1;
    for(auto x : v[node]) {
        if(x == p)
            continue;
        getsize(x, node);
        if(heavy[node] == 0 || sz[x] > sz[heavy[node]])
            heavy[node] = x;
        sz[node] += sz[x];
    }
}
 
ll capat[NMAX];
 
void DFS(ll node, ll p, ll sf) {
    dp[node][0] = p;
    capat[node] = sf;
    poz[node] = ++stamp;
    a[stamp] = node;
    if(heavy[node])
    DFS(heavy[node], node, sf);
    for(auto x : v[node]) {
        if(x == p || x == heavy[node])
            continue;
        DFS(x, node, x);
    }
}
 
pii edges[NMAX];
ll c[NMAX];
 
void baga(ll node, ll col){
    while(node != 0){
        st.update(1, 1, n, poz[capat[node]], poz[node], col);
        node = dp[capat[node]][0];
    }
}
 
struct ura{
    ll first, second, third;
};
 
ll sol;
ll aib[NMAX];
 
ll nn;
ura nr[NMAX];
ll cv[NMAX];
 
void update(ll x, ll val){
    for(ll i = x; i <= nn; i+=i&(-i))
        aib[i] += val;
}
 
ll query(ll x){
    ll s = 0;
    for(ll i = x; i > 0; i-=i&(-i)){
        s += aib[i];
    }
    return s;
}
 
bool cmp(ura a, ura b){
    return a.first < b.first;
}
 
ll cc[NMAX];
 
void calc(){
    ll i;
    for(i = 0; i <= nn; i++)
        aib[i] = 0, cv[i] = 0, cc[i] = 0;
    sort(nr + 1, nr + nn + 1, cmp);
    ll cnt = 0;
    for(i = 1; i <= nn; i++){
        if(i == 1 || nr[i].first != nr[i - 1].first){
            cnt++;
        }
        cv[nr[i].second] = cnt;
        cc[nr[i].second] = nr[i].third;
    }
    for(i = 1; i <= nn; i++){
        sol +=  query(cv[i] - 1) * cc[i];
        update(cv[i], cc[i]);
    }
}
 
int main() {
    ios_base::sync_with_stdio(false);
    cin.tie(0);
    cout.tie(0);
    ll i, j;
    cin >> n;
    for(i = 1; i <= n; i++) {
        cin >> c[i];
    }
    for(i = 1; i < n; i++) {
        ll x, y;
        cin >> x >> y;
        edges[i] = {x, y};
        v[x].push_back(y);
        v[y].push_back(x);
    }
    getsize(1, 0);
    DFS(1, 0, 1);
 
    for(j = 1; j <= nr_of_bits; j++)
        for(i = 1; i <= n; i++)
            dp[i][j] = dp[dp[i][j - 1]][j - 1];
 
    st.update(1, 1, n, poz[1], poz[1], 1);
  int ss = 0;
    for(i = 1; i < n; i++) {
        ll x = edges[i].first;
        ll y = edges[i].second;
        ll node = y;
        sol = 0;
        nn = 0;
        while(node != 1){
            ll dist = 1;
            node = dp[node][0];
            ll col = st.maxim(1, 1, n, poz[node], poz[node]);
            ll pas = nr_of_bits;
            while(pas >= 0){
                ll nxt = dp[node][pas];
                if(nxt != 0 && st.maxim(1, 1, n, poz[nxt], poz[nxt]) == col){
                    node = nxt;
                    dist += (1 << pas);
                }
                pas--;
            }
            nr[++nn] = {c[col], nn, dist};
        }
      ss += nn;
        calc();
        baga(y, y);
        cout << sol << "\n";
    }
  if ( ss > 1e6 )
    return 1;
    return 0;
}

Compilation message

construction.cpp: In function 'int main()':
construction.cpp:200:12: warning: unused variable 'x' [-Wunused-variable]
  200 |         ll x = edges[i].first;
      |            ^
construction.cpp:225:3: warning: this 'if' clause does not guard... [-Wmisleading-indentation]
  225 |   if ( ss > 1e6 )
      |   ^~
construction.cpp:227:5: note: ...this statement, but the latter is misleadingly indented as if it were guarded by the 'if'
  227 |     return 0;
      |     ^~~~~~

Subtask #1
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 2644 KB Output is correct
2 Correct 1 ms 2644 KB Output is correct
3 Correct 2 ms 2772 KB Output is correct
4 Correct 2 ms 2772 KB Output is correct
5 Correct 2 ms 2900 KB Output is correct
6 Correct 2 ms 2900 KB Output is correct
7 Correct 3 ms 2900 KB Output is correct
8 Correct 3 ms 2900 KB Output is correct
9 Correct 2 ms 2900 KB Output is correct
10 Correct 2 ms 2900 KB Output is correct
11 Correct 2 ms 2900 KB Output is correct
12 Correct 2 ms 2900 KB Output is correct
13 Correct 2 ms 2900 KB Output is correct
14 Correct 2 ms 2900 KB Output is correct
15 Correct 2 ms 2900 KB Output is correct
16 Correct 2 ms 2900 KB Output is correct
17 Correct 2 ms 2900 KB Output is correct
18 Correct 2 ms 2900 KB Output is correct
19 Correct 2 ms 2900 KB Output is correct
20 Correct 2 ms 2900 KB Output is correct
21 Correct 2 ms 2900 KB Output is correct
22 Correct 2 ms 2900 KB Output is correct
23 Correct 2 ms 2900 KB Output is correct
24 Correct 2 ms 2900 KB Output is correct
25 Correct 2 ms 2900 KB Output is correct
26 Correct 2 ms 2900 KB Output is correct
27 Correct 2 ms 2900 KB Output is correct
28 Correct 2 ms 2864 KB Output is correct
29 Correct 2 ms 2900 KB Output is correct
30 Correct 2 ms 2900 KB Output is correct
31 Correct 2 ms 2900 KB Output is correct
32 Correct 2 ms 2900 KB Output is correct
33 Correct 2 ms 2900 KB Output is correct
34 Correct 2 ms 2908 KB Output is correct
35 Correct 2 ms 2900 KB Output is correct
36 Correct 2 ms 2900 KB Output is correct
37 Correct 2 ms 2900 KB Output is correct
38 Correct 2 ms 2900 KB Output is correct
39 Correct 2 ms 2900 KB Output is correct
40 Correct 2 ms 2900 KB Output is correct
41 Correct 2 ms 2900 KB Output is correct
42 Correct 2 ms 2900 KB Output is correct
43 Correct 2 ms 2900 KB Output is correct
44 Correct 2 ms 2900 KB Output is correct

Subtask #2
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 2644 KB Output is correct
2 Correct 1 ms 2644 KB Output is correct
3 Correct 2 ms 2772 KB Output is correct
4 Correct 2 ms 2772 KB Output is correct
5 Correct 2 ms 2900 KB Output is correct
6 Correct 2 ms 2900 KB Output is correct
7 Correct 3 ms 2900 KB Output is correct
8 Correct 3 ms 2900 KB Output is correct
9 Correct 2 ms 2900 KB Output is correct
10 Correct 2 ms 2900 KB Output is correct
11 Correct 2 ms 2900 KB Output is correct
12 Correct 2 ms 2900 KB Output is correct
13 Correct 2 ms 2900 KB Output is correct
14 Correct 2 ms 2900 KB Output is correct
15 Correct 2 ms 2900 KB Output is correct
16 Correct 2 ms 2900 KB Output is correct
17 Correct 2 ms 2900 KB Output is correct
18 Correct 2 ms 2900 KB Output is correct
19 Correct 2 ms 2900 KB Output is correct
20 Correct 2 ms 2900 KB Output is correct
21 Correct 2 ms 2900 KB Output is correct
22 Correct 2 ms 2900 KB Output is correct
23 Correct 2 ms 2900 KB Output is correct
24 Correct 2 ms 2900 KB Output is correct
25 Correct 2 ms 2900 KB Output is correct
26 Correct 2 ms 2900 KB Output is correct
27 Correct 2 ms 2900 KB Output is correct
28 Correct 2 ms 2864 KB Output is correct
29 Correct 2 ms 2900 KB Output is correct
30 Correct 2 ms 2900 KB Output is correct
31 Correct 2 ms 2900 KB Output is correct
32 Correct 2 ms 2900 KB Output is correct
33 Correct 2 ms 2900 KB Output is correct
34 Correct 2 ms 2908 KB Output is correct
35 Correct 2 ms 2900 KB Output is correct
36 Correct 2 ms 2900 KB Output is correct
37 Correct 2 ms 2900 KB Output is correct
38 Correct 2 ms 2900 KB Output is correct
39 Correct 2 ms 2900 KB Output is correct
40 Correct 2 ms 2900 KB Output is correct
41 Correct 2 ms 2900 KB Output is correct
42 Correct 2 ms 2900 KB Output is correct
43 Correct 2 ms 2900 KB Output is correct
44 Correct 2 ms 2900 KB Output is correct
45 Correct 5 ms 3028 KB Output is correct
46 Correct 10 ms 3924 KB Output is correct
47 Correct 10 ms 3924 KB Output is correct
48 Correct 10 ms 3924 KB Output is correct
49 Correct 6 ms 4180 KB Output is correct
50 Correct 8 ms 4180 KB Output is correct
51 Correct 6 ms 4120 KB Output is correct
52 Correct 8 ms 4180 KB Output is correct
53 Correct 8 ms 4180 KB Output is correct
54 Correct 8 ms 4180 KB Output is correct
55 Correct 8 ms 4180 KB Output is correct
56 Correct 8 ms 4052 KB Output is correct
57 Correct 18 ms 3924 KB Output is correct
58 Correct 18 ms 3988 KB Output is correct
59 Correct 17 ms 3984 KB Output is correct
60 Correct 19 ms 3984 KB Output is correct
61 Correct 9 ms 4052 KB Output is correct
62 Correct 9 ms 4052 KB Output is correct
63 Correct 9 ms 4112 KB Output is correct
64 Correct 10 ms 3924 KB Output is correct
65 Correct 10 ms 3972 KB Output is correct
66 Correct 10 ms 3924 KB Output is correct
67 Correct 10 ms 3984 KB Output is correct
68 Correct 6 ms 4180 KB Output is correct
69 Correct 8 ms 4176 KB Output is correct
70 Correct 8 ms 4180 KB Output is correct
71 Correct 8 ms 4100 KB Output is correct
72 Correct 17 ms 3924 KB Output is correct
73 Correct 18 ms 3924 KB Output is correct
74 Correct 9 ms 4052 KB Output is correct
75 Correct 8 ms 4052 KB Output is correct
76 Correct 9 ms 4024 KB Output is correct
77 Correct 8 ms 3924 KB Output is correct
78 Correct 8 ms 4052 KB Output is correct
79 Correct 8 ms 3924 KB Output is correct
80 Correct 8 ms 3948 KB Output is correct
81 Correct 9 ms 4040 KB Output is correct
82 Correct 9 ms 4024 KB Output is correct
83 Correct 9 ms 3988 KB Output is correct
84 Correct 9 ms 3924 KB Output is correct
85 Correct 9 ms 4032 KB Output is correct
86 Correct 9 ms 3924 KB Output is correct

Subtask #3
0 / 84.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 2644 KB Output is correct
2 Correct 1 ms 2644 KB Output is correct
3 Correct 2 ms 2772 KB Output is correct
4 Correct 2 ms 2772 KB Output is correct
5 Correct 2 ms 2900 KB Output is correct
6 Correct 2 ms 2900 KB Output is correct
7 Correct 3 ms 2900 KB Output is correct
8 Correct 3 ms 2900 KB Output is correct
9 Correct 2 ms 2900 KB Output is correct
10 Correct 2 ms 2900 KB Output is correct
11 Correct 2 ms 2900 KB Output is correct
12 Correct 2 ms 2900 KB Output is correct
13 Correct 2 ms 2900 KB Output is correct
14 Correct 2 ms 2900 KB Output is correct
15 Correct 2 ms 2900 KB Output is correct
16 Correct 2 ms 2900 KB Output is correct
17 Correct 2 ms 2900 KB Output is correct
18 Correct 2 ms 2900 KB Output is correct
19 Correct 2 ms 2900 KB Output is correct
20 Correct 2 ms 2900 KB Output is correct
21 Correct 2 ms 2900 KB Output is correct
22 Correct 2 ms 2900 KB Output is correct
23 Correct 2 ms 2900 KB Output is correct
24 Correct 2 ms 2900 KB Output is correct
25 Correct 2 ms 2900 KB Output is correct
26 Correct 2 ms 2900 KB Output is correct
27 Correct 2 ms 2900 KB Output is correct
28 Correct 2 ms 2864 KB Output is correct
29 Correct 2 ms 2900 KB Output is correct
30 Correct 2 ms 2900 KB Output is correct
31 Correct 2 ms 2900 KB Output is correct
32 Correct 2 ms 2900 KB Output is correct
33 Correct 2 ms 2900 KB Output is correct
34 Correct 2 ms 2908 KB Output is correct
35 Correct 2 ms 2900 KB Output is correct
36 Correct 2 ms 2900 KB Output is correct
37 Correct 2 ms 2900 KB Output is correct
38 Correct 2 ms 2900 KB Output is correct
39 Correct 2 ms 2900 KB Output is correct
40 Correct 2 ms 2900 KB Output is correct
41 Correct 2 ms 2900 KB Output is correct
42 Correct 2 ms 2900 KB Output is correct
43 Correct 2 ms 2900 KB Output is correct
44 Correct 2 ms 2900 KB Output is correct
45 Correct 5 ms 3028 KB Output is correct
46 Correct 10 ms 3924 KB Output is correct
47 Correct 10 ms 3924 KB Output is correct
48 Correct 10 ms 3924 KB Output is correct
49 Correct 6 ms 4180 KB Output is correct
50 Correct 8 ms 4180 KB Output is correct
51 Correct 6 ms 4120 KB Output is correct
52 Correct 8 ms 4180 KB Output is correct
53 Correct 8 ms 4180 KB Output is correct
54 Correct 8 ms 4180 KB Output is correct
55 Correct 8 ms 4180 KB Output is correct
56 Correct 8 ms 4052 KB Output is correct
57 Correct 18 ms 3924 KB Output is correct
58 Correct 18 ms 3988 KB Output is correct
59 Correct 17 ms 3984 KB Output is correct
60 Correct 19 ms 3984 KB Output is correct
61 Correct 9 ms 4052 KB Output is correct
62 Correct 9 ms 4052 KB Output is correct
63 Correct 9 ms 4112 KB Output is correct
64 Correct 10 ms 3924 KB Output is correct
65 Correct 10 ms 3972 KB Output is correct
66 Correct 10 ms 3924 KB Output is correct
67 Correct 10 ms 3984 KB Output is correct
68 Correct 6 ms 4180 KB Output is correct
69 Correct 8 ms 4176 KB Output is correct
70 Correct 8 ms 4180 KB Output is correct
71 Correct 8 ms 4100 KB Output is correct
72 Correct 17 ms 3924 KB Output is correct
73 Correct 18 ms 3924 KB Output is correct
74 Correct 9 ms 4052 KB Output is correct
75 Correct 8 ms 4052 KB Output is correct
76 Correct 9 ms 4024 KB Output is correct
77 Correct 8 ms 3924 KB Output is correct
78 Correct 8 ms 4052 KB Output is correct
79 Correct 8 ms 3924 KB Output is correct
80 Correct 8 ms 3948 KB Output is correct
81 Correct 9 ms 4040 KB Output is correct
82 Correct 9 ms 4024 KB Output is correct
83 Correct 9 ms 3988 KB Output is correct
84 Correct 9 ms 3924 KB Output is correct
85 Correct 9 ms 4032 KB Output is correct
86 Correct 9 ms 3924 KB Output is correct
87 Correct 28 ms 5972 KB Output is correct
88 Correct 99 ms 11904 KB Output is correct
89 Correct 477 ms 34288 KB Output is correct
90 Correct 513 ms 34320 KB Output is correct
91 Correct 487 ms 34216 KB Output is correct
92 Correct 227 ms 39880 KB Output is correct
93 Correct 216 ms 39816 KB Output is correct
94 Correct 221 ms 39836 KB Output is correct
95 Correct 320 ms 39560 KB Output is correct
96 Correct 316 ms 39700 KB Output is correct
97 Correct 296 ms 39636 KB Output is correct
98 Correct 300 ms 39632 KB Output is correct
99 Correct 311 ms 37460 KB Output is correct
100 Runtime error 945 ms 34184 KB Execution failed because the return code was nonzero
101 Halted 0 ms 0 KB -