oj.uz

Submission #465923

# Submission time Handle Problem Language Result Execution time Memory
465923 2021-08-17T10:29:15 Z Vladth11 Construction of Highway (JOI18_construction) C++14
100 / 100
 1471 ms 35924 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 = 16;
 
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 2764 KB Output is correct
6 Correct 3 ms 2764 KB Output is correct
7 Correct 3 ms 2764 KB Output is correct
8 Correct 2 ms 2892 KB Output is correct
9 Correct 3 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 2888 KB Output is correct
14 Correct 3 ms 2892 KB Output is correct
15 Correct 3 ms 2764 KB Output is correct
16 Correct 3 ms 2764 KB Output is correct
17 Correct 4 ms 2880 KB Output is correct
18 Correct 3 ms 2764 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 2764 KB Output is correct
23 Correct 3 ms 2764 KB Output is correct
24 Correct 3 ms 2764 KB Output is correct
25 Correct 4 ms 2816 KB Output is correct
26 Correct 2 ms 2892 KB Output is correct
27 Correct 3 ms 2892 KB Output is correct
28 Correct 2 ms 2892 KB Output is correct
29 Correct 3 ms 2892 KB Output is correct
30 Correct 3 ms 2764 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 2764 KB Output is correct
34 Correct 3 ms 2764 KB Output is correct
35 Correct 3 ms 2764 KB Output is correct
36 Correct 3 ms 2764 KB Output is correct
37 Correct 3 ms 2764 KB Output is correct
38 Correct 3 ms 2764 KB Output is correct
39 Correct 3 ms 2764 KB Output is correct
40 Correct 3 ms 2764 KB Output is correct
41 Correct 3 ms 2892 KB Output is correct
42 Correct 3 ms 2764 KB Output is correct
43 Correct 3 ms 2764 KB Output is correct
44 Correct 3 ms 2764 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 2764 KB Output is correct
6 Correct 3 ms 2764 KB Output is correct
7 Correct 3 ms 2764 KB Output is correct
8 Correct 2 ms 2892 KB Output is correct
9 Correct 3 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 2888 KB Output is correct
14 Correct 3 ms 2892 KB Output is correct
15 Correct 3 ms 2764 KB Output is correct
16 Correct 3 ms 2764 KB Output is correct
17 Correct 4 ms 2880 KB Output is correct
18 Correct 3 ms 2764 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 2764 KB Output is correct
23 Correct 3 ms 2764 KB Output is correct
24 Correct 3 ms 2764 KB Output is correct
25 Correct 4 ms 2816 KB Output is correct
26 Correct 2 ms 2892 KB Output is correct
27 Correct 3 ms 2892 KB Output is correct
28 Correct 2 ms 2892 KB Output is correct
29 Correct 3 ms 2892 KB Output is correct
30 Correct 3 ms 2764 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 2764 KB Output is correct
34 Correct 3 ms 2764 KB Output is correct
35 Correct 3 ms 2764 KB Output is correct
36 Correct 3 ms 2764 KB Output is correct
37 Correct 3 ms 2764 KB Output is correct
38 Correct 3 ms 2764 KB Output is correct
39 Correct 3 ms 2764 KB Output is correct
40 Correct 3 ms 2764 KB Output is correct
41 Correct 3 ms 2892 KB Output is correct
42 Correct 3 ms 2764 KB Output is correct
43 Correct 3 ms 2764 KB Output is correct
44 Correct 3 ms 2764 KB Output is correct
45 Correct 4 ms 2892 KB Output is correct
46 Correct 14 ms 3808 KB Output is correct
47 Correct 16 ms 3816 KB Output is correct
48 Correct 14 ms 3788 KB Output is correct
49 Correct 9 ms 3916 KB Output is correct
50 Correct 9 ms 4044 KB Output is correct
51 Correct 9 ms 4044 KB Output is correct
52 Correct 11 ms 3924 KB Output is correct
53 Correct 11 ms 3956 KB Output is correct
54 Correct 15 ms 3916 KB Output is correct
55 Correct 11 ms 4044 KB Output is correct
56 Correct 12 ms 3924 KB Output is correct
57 Correct 23 ms 3824 KB Output is correct
58 Correct 25 ms 3820 KB Output is correct
59 Correct 25 ms 3816 KB Output is correct
60 Correct 26 ms 3828 KB Output is correct
61 Correct 13 ms 3916 KB Output is correct
62 Correct 13 ms 3956 KB Output is correct
63 Correct 12 ms 3916 KB Output is correct
64 Correct 14 ms 3824 KB Output is correct
65 Correct 14 ms 3812 KB Output is correct
66 Correct 14 ms 3788 KB Output is correct
67 Correct 14 ms 3808 KB Output is correct
68 Correct 9 ms 3952 KB Output is correct
69 Correct 11 ms 3968 KB Output is correct
70 Correct 11 ms 3916 KB Output is correct
71 Correct 11 ms 3956 KB Output is correct
72 Correct 24 ms 3824 KB Output is correct
73 Correct 25 ms 3820 KB Output is correct
74 Correct 13 ms 3916 KB Output is correct
75 Correct 11 ms 3800 KB Output is correct
76 Correct 11 ms 3852 KB Output is correct
77 Correct 11 ms 3860 KB Output is correct
78 Correct 11 ms 3788 KB Output is correct
79 Correct 11 ms 3852 KB Output is correct
80 Correct 15 ms 3840 KB Output is correct
81 Correct 13 ms 3880 KB Output is correct
82 Correct 12 ms 3864 KB Output is correct
83 Correct 12 ms 3788 KB Output is correct
84 Correct 12 ms 3884 KB Output is correct
85 Correct 12 ms 3788 KB Output is correct
86 Correct 12 ms 3820 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 2764 KB Output is correct
6 Correct 3 ms 2764 KB Output is correct
7 Correct 3 ms 2764 KB Output is correct
8 Correct 2 ms 2892 KB Output is correct
9 Correct 3 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 2888 KB Output is correct
14 Correct 3 ms 2892 KB Output is correct
15 Correct 3 ms 2764 KB Output is correct
16 Correct 3 ms 2764 KB Output is correct
17 Correct 4 ms 2880 KB Output is correct
18 Correct 3 ms 2764 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 2764 KB Output is correct
23 Correct 3 ms 2764 KB Output is correct
24 Correct 3 ms 2764 KB Output is correct
25 Correct 4 ms 2816 KB Output is correct
26 Correct 2 ms 2892 KB Output is correct
27 Correct 3 ms 2892 KB Output is correct
28 Correct 2 ms 2892 KB Output is correct
29 Correct 3 ms 2892 KB Output is correct
30 Correct 3 ms 2764 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 2764 KB Output is correct
34 Correct 3 ms 2764 KB Output is correct
35 Correct 3 ms 2764 KB Output is correct
36 Correct 3 ms 2764 KB Output is correct
37 Correct 3 ms 2764 KB Output is correct
38 Correct 3 ms 2764 KB Output is correct
39 Correct 3 ms 2764 KB Output is correct
40 Correct 3 ms 2764 KB Output is correct
41 Correct 3 ms 2892 KB Output is correct
42 Correct 3 ms 2764 KB Output is correct
43 Correct 3 ms 2764 KB Output is correct
44 Correct 3 ms 2764 KB Output is correct
45 Correct 4 ms 2892 KB Output is correct
46 Correct 14 ms 3808 KB Output is correct
47 Correct 16 ms 3816 KB Output is correct
48 Correct 14 ms 3788 KB Output is correct
49 Correct 9 ms 3916 KB Output is correct
50 Correct 9 ms 4044 KB Output is correct
51 Correct 9 ms 4044 KB Output is correct
52 Correct 11 ms 3924 KB Output is correct
53 Correct 11 ms 3956 KB Output is correct
54 Correct 15 ms 3916 KB Output is correct
55 Correct 11 ms 4044 KB Output is correct
56 Correct 12 ms 3924 KB Output is correct
57 Correct 23 ms 3824 KB Output is correct
58 Correct 25 ms 3820 KB Output is correct
59 Correct 25 ms 3816 KB Output is correct
60 Correct 26 ms 3828 KB Output is correct
61 Correct 13 ms 3916 KB Output is correct
62 Correct 13 ms 3956 KB Output is correct
63 Correct 12 ms 3916 KB Output is correct
64 Correct 14 ms 3824 KB Output is correct
65 Correct 14 ms 3812 KB Output is correct
66 Correct 14 ms 3788 KB Output is correct
67 Correct 14 ms 3808 KB Output is correct
68 Correct 9 ms 3952 KB Output is correct
69 Correct 11 ms 3968 KB Output is correct
70 Correct 11 ms 3916 KB Output is correct
71 Correct 11 ms 3956 KB Output is correct
72 Correct 24 ms 3824 KB Output is correct
73 Correct 25 ms 3820 KB Output is correct
74 Correct 13 ms 3916 KB Output is correct
75 Correct 11 ms 3800 KB Output is correct
76 Correct 11 ms 3852 KB Output is correct
77 Correct 11 ms 3860 KB Output is correct
78 Correct 11 ms 3788 KB Output is correct
79 Correct 11 ms 3852 KB Output is correct
80 Correct 15 ms 3840 KB Output is correct
81 Correct 13 ms 3880 KB Output is correct
82 Correct 12 ms 3864 KB Output is correct
83 Correct 12 ms 3788 KB Output is correct
84 Correct 12 ms 3884 KB Output is correct
85 Correct 12 ms 3788 KB Output is correct
86 Correct 12 ms 3820 KB Output is correct
87 Correct 41 ms 5584 KB Output is correct
88 Correct 151 ms 10832 KB Output is correct
89 Correct 699 ms 30292 KB Output is correct
90 Correct 712 ms 30436 KB Output is correct
91 Correct 716 ms 30276 KB Output is correct
92 Correct 333 ms 35920 KB Output is correct
93 Correct 331 ms 35868 KB Output is correct
94 Correct 344 ms 35924 KB Output is correct
95 Correct 453 ms 35672 KB Output is correct
96 Correct 469 ms 35652 KB Output is correct
97 Correct 493 ms 35644 KB Output is correct
98 Correct 455 ms 35652 KB Output is correct
99 Correct 476 ms 33456 KB Output is correct
100 Correct 1417 ms 30264 KB Output is correct
101 Correct 1448 ms 30092 KB Output is correct
102 Correct 1439 ms 30180 KB Output is correct
103 Correct 1471 ms 30148 KB Output is correct
104 Correct 591 ms 33380 KB Output is correct
105 Correct 664 ms 33412 KB Output is correct
106 Correct 619 ms 33572 KB Output is correct
107 Correct 734 ms 30276 KB Output is correct
108 Correct 801 ms 30276 KB Output is correct
109 Correct 797 ms 30196 KB Output is correct
110 Correct 362 ms 35808 KB Output is correct
111 Correct 460 ms 35644 KB Output is correct
112 Correct 477 ms 35652 KB Output is correct
113 Correct 465 ms 33500 KB Output is correct
114 Correct 1394 ms 30448 KB Output is correct
115 Correct 1439 ms 30176 KB Output is correct
116 Correct 627 ms 33476 KB Output is correct
117 Correct 488 ms 31868 KB Output is correct
118 Correct 469 ms 31400 KB Output is correct
119 Correct 429 ms 31156 KB Output is correct
120 Correct 454 ms 31744 KB Output is correct
121 Correct 442 ms 31300 KB Output is correct
122 Correct 431 ms 31156 KB Output is correct
123 Correct 567 ms 31916 KB Output is correct
124 Correct 635 ms 31456 KB Output is correct
125 Correct 654 ms 31216 KB Output is correct
126 Correct 597 ms 31884 KB Output is correct
127 Correct 573 ms 31428 KB Output is correct
128 Correct 557 ms 31172 KB Output is correct