oj.uz

Submission #465922

# Submission time Handle Problem Language Result Execution time Memory
465922 2021-08-17T10:27:18 Z Vladth11 Construction of Highway (JOI18_construction) C++14
100 / 100
 1602 ms 39840 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);
    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};
        }
        calc();
        baga(y, y);
        cout << sol << "\n";
    }
    return 0;
}

Compilation message

construction.cpp: In function 'int main()':
construction.cpp:199:12: warning: unused variable 'x' [-Wunused-variable]
  199 |         ll x = edges[i].first;
      |            ^

Subtask #1
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 2636 KB Output is correct
2 Correct 2 ms 2636 KB Output is correct
3 Correct 2 ms 2764 KB Output is correct
4 Correct 2 ms 2764 KB Output is correct
5 Correct 3 ms 2892 KB Output is correct
6 Correct 3 ms 2892 KB Output is correct
7 Correct 3 ms 2892 KB Output is correct
8 Correct 3 ms 2892 KB Output is correct
9 Correct 2 ms 2892 KB Output is correct
10 Correct 2 ms 2892 KB Output is correct
11 Correct 3 ms 2892 KB Output is correct
12 Correct 3 ms 2892 KB Output is correct
13 Correct 3 ms 2892 KB Output is correct
14 Correct 3 ms 2892 KB Output is correct
15 Correct 3 ms 2892 KB Output is correct
16 Correct 3 ms 2892 KB Output is correct
17 Correct 4 ms 2900 KB Output is correct
18 Correct 4 ms 2900 KB Output is correct
19 Correct 3 ms 2892 KB Output is correct
20 Correct 3 ms 2892 KB Output is correct
21 Correct 3 ms 2892 KB Output is correct
22 Correct 3 ms 2892 KB Output is correct
23 Correct 4 ms 2900 KB Output is correct
24 Correct 3 ms 2892 KB Output is correct
25 Correct 3 ms 2892 KB Output is correct
26 Correct 3 ms 2892 KB Output is correct
27 Correct 3 ms 2892 KB Output is correct
28 Correct 3 ms 2892 KB Output is correct
29 Correct 3 ms 2892 KB Output is correct
30 Correct 3 ms 2892 KB Output is correct
31 Correct 3 ms 2892 KB Output is correct
32 Correct 3 ms 2892 KB Output is correct
33 Correct 3 ms 2892 KB Output is correct
34 Correct 3 ms 2892 KB Output is correct
35 Correct 3 ms 2892 KB Output is correct
36 Correct 3 ms 2892 KB Output is correct
37 Correct 4 ms 2892 KB Output is correct
38 Correct 4 ms 2892 KB Output is correct
39 Correct 4 ms 2892 KB Output is correct
40 Correct 3 ms 2892 KB Output is correct
41 Correct 3 ms 2892 KB Output is correct
42 Correct 3 ms 2892 KB Output is correct
43 Correct 3 ms 2892 KB Output is correct
44 Correct 3 ms 2892 KB Output is correct

Subtask #2
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 2636 KB Output is correct
2 Correct 2 ms 2636 KB Output is correct
3 Correct 2 ms 2764 KB Output is correct
4 Correct 2 ms 2764 KB Output is correct
5 Correct 3 ms 2892 KB Output is correct
6 Correct 3 ms 2892 KB Output is correct
7 Correct 3 ms 2892 KB Output is correct
8 Correct 3 ms 2892 KB Output is correct
9 Correct 2 ms 2892 KB Output is correct
10 Correct 2 ms 2892 KB Output is correct
11 Correct 3 ms 2892 KB Output is correct
12 Correct 3 ms 2892 KB Output is correct
13 Correct 3 ms 2892 KB Output is correct
14 Correct 3 ms 2892 KB Output is correct
15 Correct 3 ms 2892 KB Output is correct
16 Correct 3 ms 2892 KB Output is correct
17 Correct 4 ms 2900 KB Output is correct
18 Correct 4 ms 2900 KB Output is correct
19 Correct 3 ms 2892 KB Output is correct
20 Correct 3 ms 2892 KB Output is correct
21 Correct 3 ms 2892 KB Output is correct
22 Correct 3 ms 2892 KB Output is correct
23 Correct 4 ms 2900 KB Output is correct
24 Correct 3 ms 2892 KB Output is correct
25 Correct 3 ms 2892 KB Output is correct
26 Correct 3 ms 2892 KB Output is correct
27 Correct 3 ms 2892 KB Output is correct
28 Correct 3 ms 2892 KB Output is correct
29 Correct 3 ms 2892 KB Output is correct
30 Correct 3 ms 2892 KB Output is correct
31 Correct 3 ms 2892 KB Output is correct
32 Correct 3 ms 2892 KB Output is correct
33 Correct 3 ms 2892 KB Output is correct
34 Correct 3 ms 2892 KB Output is correct
35 Correct 3 ms 2892 KB Output is correct
36 Correct 3 ms 2892 KB Output is correct
37 Correct 4 ms 2892 KB Output is correct
38 Correct 4 ms 2892 KB Output is correct
39 Correct 4 ms 2892 KB Output is correct
40 Correct 3 ms 2892 KB Output is correct
41 Correct 3 ms 2892 KB Output is correct
42 Correct 3 ms 2892 KB Output is correct
43 Correct 3 ms 2892 KB Output is correct
44 Correct 3 ms 2892 KB Output is correct
45 Correct 4 ms 3052 KB Output is correct
46 Correct 15 ms 3960 KB Output is correct
47 Correct 16 ms 3964 KB Output is correct
48 Correct 15 ms 3916 KB Output is correct
49 Correct 9 ms 4172 KB Output is correct
50 Correct 9 ms 4172 KB Output is correct
51 Correct 9 ms 4172 KB Output is correct
52 Correct 11 ms 4096 KB Output is correct
53 Correct 12 ms 4076 KB Output is correct
54 Correct 12 ms 4172 KB Output is correct
55 Correct 12 ms 4124 KB Output is correct
56 Correct 16 ms 4044 KB Output is correct
57 Correct 27 ms 3972 KB Output is correct
58 Correct 27 ms 3916 KB Output is correct
59 Correct 29 ms 3972 KB Output is correct
60 Correct 26 ms 3916 KB Output is correct
61 Correct 13 ms 4060 KB Output is correct
62 Correct 13 ms 4044 KB Output is correct
63 Correct 13 ms 4112 KB Output is correct
64 Correct 16 ms 3916 KB Output is correct
65 Correct 15 ms 3916 KB Output is correct
66 Correct 16 ms 3916 KB Output is correct
67 Correct 15 ms 3968 KB Output is correct
68 Correct 9 ms 4172 KB Output is correct
69 Correct 12 ms 4168 KB Output is correct
70 Correct 12 ms 4128 KB Output is correct
71 Correct 12 ms 4080 KB Output is correct
72 Correct 27 ms 3916 KB Output is correct
73 Correct 27 ms 3900 KB Output is correct
74 Correct 13 ms 4052 KB Output is correct
75 Correct 12 ms 3952 KB Output is correct
76 Correct 12 ms 3964 KB Output is correct
77 Correct 11 ms 3916 KB Output is correct
78 Correct 12 ms 4044 KB Output is correct
79 Correct 11 ms 3916 KB Output is correct
80 Correct 11 ms 3916 KB Output is correct
81 Correct 14 ms 4044 KB Output is correct
82 Correct 13 ms 4024 KB Output is correct
83 Correct 14 ms 3916 KB Output is correct
84 Correct 14 ms 4040 KB Output is correct
85 Correct 14 ms 3976 KB Output is correct
86 Correct 17 ms 4000 KB Output is correct

Subtask #3
84.0 / 84.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 2636 KB Output is correct
2 Correct 2 ms 2636 KB Output is correct
3 Correct 2 ms 2764 KB Output is correct
4 Correct 2 ms 2764 KB Output is correct
5 Correct 3 ms 2892 KB Output is correct
6 Correct 3 ms 2892 KB Output is correct
7 Correct 3 ms 2892 KB Output is correct
8 Correct 3 ms 2892 KB Output is correct
9 Correct 2 ms 2892 KB Output is correct
10 Correct 2 ms 2892 KB Output is correct
11 Correct 3 ms 2892 KB Output is correct
12 Correct 3 ms 2892 KB Output is correct
13 Correct 3 ms 2892 KB Output is correct
14 Correct 3 ms 2892 KB Output is correct
15 Correct 3 ms 2892 KB Output is correct
16 Correct 3 ms 2892 KB Output is correct
17 Correct 4 ms 2900 KB Output is correct
18 Correct 4 ms 2900 KB Output is correct
19 Correct 3 ms 2892 KB Output is correct
20 Correct 3 ms 2892 KB Output is correct
21 Correct 3 ms 2892 KB Output is correct
22 Correct 3 ms 2892 KB Output is correct
23 Correct 4 ms 2900 KB Output is correct
24 Correct 3 ms 2892 KB Output is correct
25 Correct 3 ms 2892 KB Output is correct
26 Correct 3 ms 2892 KB Output is correct
27 Correct 3 ms 2892 KB Output is correct
28 Correct 3 ms 2892 KB Output is correct
29 Correct 3 ms 2892 KB Output is correct
30 Correct 3 ms 2892 KB Output is correct
31 Correct 3 ms 2892 KB Output is correct
32 Correct 3 ms 2892 KB Output is correct
33 Correct 3 ms 2892 KB Output is correct
34 Correct 3 ms 2892 KB Output is correct
35 Correct 3 ms 2892 KB Output is correct
36 Correct 3 ms 2892 KB Output is correct
37 Correct 4 ms 2892 KB Output is correct
38 Correct 4 ms 2892 KB Output is correct
39 Correct 4 ms 2892 KB Output is correct
40 Correct 3 ms 2892 KB Output is correct
41 Correct 3 ms 2892 KB Output is correct
42 Correct 3 ms 2892 KB Output is correct
43 Correct 3 ms 2892 KB Output is correct
44 Correct 3 ms 2892 KB Output is correct
45 Correct 4 ms 3052 KB Output is correct
46 Correct 15 ms 3960 KB Output is correct
47 Correct 16 ms 3964 KB Output is correct
48 Correct 15 ms 3916 KB Output is correct
49 Correct 9 ms 4172 KB Output is correct
50 Correct 9 ms 4172 KB Output is correct
51 Correct 9 ms 4172 KB Output is correct
52 Correct 11 ms 4096 KB Output is correct
53 Correct 12 ms 4076 KB Output is correct
54 Correct 12 ms 4172 KB Output is correct
55 Correct 12 ms 4124 KB Output is correct
56 Correct 16 ms 4044 KB Output is correct
57 Correct 27 ms 3972 KB Output is correct
58 Correct 27 ms 3916 KB Output is correct
59 Correct 29 ms 3972 KB Output is correct
60 Correct 26 ms 3916 KB Output is correct
61 Correct 13 ms 4060 KB Output is correct
62 Correct 13 ms 4044 KB Output is correct
63 Correct 13 ms 4112 KB Output is correct
64 Correct 16 ms 3916 KB Output is correct
65 Correct 15 ms 3916 KB Output is correct
66 Correct 16 ms 3916 KB Output is correct
67 Correct 15 ms 3968 KB Output is correct
68 Correct 9 ms 4172 KB Output is correct
69 Correct 12 ms 4168 KB Output is correct
70 Correct 12 ms 4128 KB Output is correct
71 Correct 12 ms 4080 KB Output is correct
72 Correct 27 ms 3916 KB Output is correct
73 Correct 27 ms 3900 KB Output is correct
74 Correct 13 ms 4052 KB Output is correct
75 Correct 12 ms 3952 KB Output is correct
76 Correct 12 ms 3964 KB Output is correct
77 Correct 11 ms 3916 KB Output is correct
78 Correct 12 ms 4044 KB Output is correct
79 Correct 11 ms 3916 KB Output is correct
80 Correct 11 ms 3916 KB Output is correct
81 Correct 14 ms 4044 KB Output is correct
82 Correct 13 ms 4024 KB Output is correct
83 Correct 14 ms 3916 KB Output is correct
84 Correct 14 ms 4040 KB Output is correct
85 Correct 14 ms 3976 KB Output is correct
86 Correct 17 ms 4000 KB Output is correct
87 Correct 43 ms 5964 KB Output is correct
88 Correct 160 ms 11972 KB Output is correct
89 Correct 835 ms 34300 KB Output is correct
90 Correct 792 ms 34228 KB Output is correct
91 Correct 862 ms 34164 KB Output is correct
92 Correct 360 ms 39840 KB Output is correct
93 Correct 362 ms 39832 KB Output is correct
94 Correct 391 ms 39792 KB Output is correct
95 Correct 473 ms 39628 KB Output is correct
96 Correct 544 ms 39516 KB Output is correct
97 Correct 561 ms 39540 KB Output is correct
98 Correct 509 ms 39596 KB Output is correct
99 Correct 606 ms 37444 KB Output is correct
100 Correct 1486 ms 34208 KB Output is correct
101 Correct 1531 ms 33996 KB Output is correct
102 Correct 1554 ms 34044 KB Output is correct
103 Correct 1525 ms 34060 KB Output is correct
104 Correct 645 ms 37400 KB Output is correct
105 Correct 664 ms 37332 KB Output is correct
106 Correct 667 ms 37352 KB Output is correct
107 Correct 751 ms 34244 KB Output is correct
108 Correct 803 ms 34228 KB Output is correct
109 Correct 825 ms 34412 KB Output is correct
110 Correct 362 ms 39792 KB Output is correct
111 Correct 559 ms 39592 KB Output is correct
112 Correct 508 ms 39600 KB Output is correct
113 Correct 539 ms 37328 KB Output is correct
114 Correct 1518 ms 34088 KB Output is correct
115 Correct 1602 ms 34184 KB Output is correct
116 Correct 681 ms 37412 KB Output is correct
117 Correct 467 ms 35756 KB Output is correct
118 Correct 476 ms 35312 KB Output is correct
119 Correct 496 ms 34948 KB Output is correct
120 Correct 473 ms 35656 KB Output is correct
121 Correct 477 ms 35272 KB Output is correct
122 Correct 455 ms 35068 KB Output is correct
123 Correct 721 ms 35852 KB Output is correct
124 Correct 658 ms 35388 KB Output is correct
125 Correct 637 ms 35168 KB Output is correct
126 Correct 637 ms 35844 KB Output is correct
127 Correct 615 ms 35464 KB Output is correct
128 Correct 708 ms 35140 KB Output is correct