oj.uz

Submission #465904

# Submission time Handle Problem Language Result Execution time Memory
465904 2021-08-17T09:41:11 Z Vladth11 Construction of Highway (JOI18_construction) C++14
16 / 100
 688 ms 63556 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];
    ll lazy[NMAX];
    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;
            return;
        }
        ll mid = (st + dr) / 2;
        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;
        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], c[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(node != 1 && st.maxim(1, 1, n, poz[dp[node][0]], poz[dp[node][0]]) == col){
               dist++;
               node = dp[node][0];
            }
            nr[++nn] = {col, nn, dist};
        }
        calc();
        baga(y, c[y]);
        cout << sol << "\n";
    }
    return 0;
}

Compilation message

construction.cpp: In function 'int main()':
construction.cpp:202:16: warning: unused variable 'pas' [-Wunused-variable]
  202 |             ll pas = nr_of_bits;
      |                ^~~
construction.cpp:193:12: warning: unused variable 'x' [-Wunused-variable]
  193 |         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 8 ms 2892 KB Output is correct
9 Correct 8 ms 2892 KB Output is correct
10 Correct 9 ms 2892 KB Output is correct
11 Correct 5 ms 2892 KB Output is correct
12 Correct 5 ms 2892 KB Output is correct
13 Correct 5 ms 2892 KB Output is correct
14 Correct 5 ms 2904 KB Output is correct
15 Correct 3 ms 2892 KB Output is correct
16 Correct 3 ms 2892 KB Output is correct
17 Correct 3 ms 2892 KB Output is correct
18 Correct 3 ms 2892 KB Output is correct
19 Correct 6 ms 2892 KB Output is correct
20 Correct 5 ms 2892 KB Output is correct
21 Correct 5 ms 2908 KB Output is correct
22 Correct 3 ms 2892 KB Output is correct
23 Correct 3 ms 2892 KB Output is correct
24 Correct 4 ms 2892 KB Output is correct
25 Correct 2 ms 2892 KB Output is correct
26 Correct 8 ms 2892 KB Output is correct
27 Correct 5 ms 2892 KB Output is correct
28 Correct 5 ms 2904 KB Output is correct
29 Correct 5 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 5 ms 2892 KB Output is correct
33 Correct 4 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 4 ms 2892 KB Output is correct
37 Correct 3 ms 2892 KB Output is correct
38 Correct 3 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 4 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 8 ms 2892 KB Output is correct
9 Correct 8 ms 2892 KB Output is correct
10 Correct 9 ms 2892 KB Output is correct
11 Correct 5 ms 2892 KB Output is correct
12 Correct 5 ms 2892 KB Output is correct
13 Correct 5 ms 2892 KB Output is correct
14 Correct 5 ms 2904 KB Output is correct
15 Correct 3 ms 2892 KB Output is correct
16 Correct 3 ms 2892 KB Output is correct
17 Correct 3 ms 2892 KB Output is correct
18 Correct 3 ms 2892 KB Output is correct
19 Correct 6 ms 2892 KB Output is correct
20 Correct 5 ms 2892 KB Output is correct
21 Correct 5 ms 2908 KB Output is correct
22 Correct 3 ms 2892 KB Output is correct
23 Correct 3 ms 2892 KB Output is correct
24 Correct 4 ms 2892 KB Output is correct
25 Correct 2 ms 2892 KB Output is correct
26 Correct 8 ms 2892 KB Output is correct
27 Correct 5 ms 2892 KB Output is correct
28 Correct 5 ms 2904 KB Output is correct
29 Correct 5 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 5 ms 2892 KB Output is correct
33 Correct 4 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 4 ms 2892 KB Output is correct
37 Correct 3 ms 2892 KB Output is correct
38 Correct 3 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 4 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 3020 KB Output is correct
46 Correct 13 ms 3872 KB Output is correct
47 Correct 13 ms 3916 KB Output is correct
48 Correct 12 ms 3956 KB Output is correct
49 Correct 680 ms 4404 KB Output is correct
50 Correct 684 ms 4164 KB Output is correct
51 Correct 682 ms 4088 KB Output is correct
52 Correct 328 ms 4168 KB Output is correct
53 Correct 322 ms 4140 KB Output is correct
54 Correct 328 ms 4164 KB Output is correct
55 Correct 325 ms 4232 KB Output is correct
56 Correct 328 ms 4120 KB Output is correct
57 Correct 15 ms 3968 KB Output is correct
58 Correct 17 ms 3972 KB Output is correct
59 Correct 17 ms 3964 KB Output is correct
60 Correct 17 ms 3968 KB Output is correct
61 Correct 330 ms 4088 KB Output is correct
62 Correct 333 ms 4164 KB Output is correct
63 Correct 332 ms 4012 KB Output is correct
64 Correct 11 ms 3916 KB Output is correct
65 Correct 12 ms 3968 KB Output is correct
66 Correct 13 ms 3968 KB Output is correct
67 Correct 13 ms 3916 KB Output is correct
68 Correct 688 ms 4240 KB Output is correct
69 Correct 322 ms 4268 KB Output is correct
70 Correct 328 ms 4152 KB Output is correct
71 Correct 323 ms 4000 KB Output is correct
72 Correct 16 ms 3976 KB Output is correct
73 Correct 17 ms 3972 KB Output is correct
74 Correct 327 ms 4184 KB Output is correct
75 Correct 164 ms 4012 KB Output is correct
76 Correct 114 ms 3916 KB Output is correct
77 Correct 85 ms 4052 KB Output is correct
78 Correct 168 ms 4192 KB Output is correct
79 Correct 114 ms 3948 KB Output is correct
80 Correct 88 ms 3920 KB Output is correct
81 Correct 170 ms 3948 KB Output is correct
82 Correct 114 ms 4036 KB Output is correct
83 Correct 90 ms 3952 KB Output is correct
84 Correct 166 ms 3952 KB Output is correct
85 Correct 114 ms 3916 KB Output is correct
86 Correct 90 ms 4032 KB Output is correct

Subtask #3
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 8 ms 2892 KB Output is correct
9 Correct 8 ms 2892 KB Output is correct
10 Correct 9 ms 2892 KB Output is correct
11 Correct 5 ms 2892 KB Output is correct
12 Correct 5 ms 2892 KB Output is correct
13 Correct 5 ms 2892 KB Output is correct
14 Correct 5 ms 2904 KB Output is correct
15 Correct 3 ms 2892 KB Output is correct
16 Correct 3 ms 2892 KB Output is correct
17 Correct 3 ms 2892 KB Output is correct
18 Correct 3 ms 2892 KB Output is correct
19 Correct 6 ms 2892 KB Output is correct
20 Correct 5 ms 2892 KB Output is correct
21 Correct 5 ms 2908 KB Output is correct
22 Correct 3 ms 2892 KB Output is correct
23 Correct 3 ms 2892 KB Output is correct
24 Correct 4 ms 2892 KB Output is correct
25 Correct 2 ms 2892 KB Output is correct
26 Correct 8 ms 2892 KB Output is correct
27 Correct 5 ms 2892 KB Output is correct
28 Correct 5 ms 2904 KB Output is correct
29 Correct 5 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 5 ms 2892 KB Output is correct
33 Correct 4 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 4 ms 2892 KB Output is correct
37 Correct 3 ms 2892 KB Output is correct
38 Correct 3 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 4 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 3020 KB Output is correct
46 Correct 13 ms 3872 KB Output is correct
47 Correct 13 ms 3916 KB Output is correct
48 Correct 12 ms 3956 KB Output is correct
49 Correct 680 ms 4404 KB Output is correct
50 Correct 684 ms 4164 KB Output is correct
51 Correct 682 ms 4088 KB Output is correct
52 Correct 328 ms 4168 KB Output is correct
53 Correct 322 ms 4140 KB Output is correct
54 Correct 328 ms 4164 KB Output is correct
55 Correct 325 ms 4232 KB Output is correct
56 Correct 328 ms 4120 KB Output is correct
57 Correct 15 ms 3968 KB Output is correct
58 Correct 17 ms 3972 KB Output is correct
59 Correct 17 ms 3964 KB Output is correct
60 Correct 17 ms 3968 KB Output is correct
61 Correct 330 ms 4088 KB Output is correct
62 Correct 333 ms 4164 KB Output is correct
63 Correct 332 ms 4012 KB Output is correct
64 Correct 11 ms 3916 KB Output is correct
65 Correct 12 ms 3968 KB Output is correct
66 Correct 13 ms 3968 KB Output is correct
67 Correct 13 ms 3916 KB Output is correct
68 Correct 688 ms 4240 KB Output is correct
69 Correct 322 ms 4268 KB Output is correct
70 Correct 328 ms 4152 KB Output is correct
71 Correct 323 ms 4000 KB Output is correct
72 Correct 16 ms 3976 KB Output is correct
73 Correct 17 ms 3972 KB Output is correct
74 Correct 327 ms 4184 KB Output is correct
75 Correct 164 ms 4012 KB Output is correct
76 Correct 114 ms 3916 KB Output is correct
77 Correct 85 ms 4052 KB Output is correct
78 Correct 168 ms 4192 KB Output is correct
79 Correct 114 ms 3948 KB Output is correct
80 Correct 88 ms 3920 KB Output is correct
81 Correct 170 ms 3948 KB Output is correct
82 Correct 114 ms 4036 KB Output is correct
83 Correct 90 ms 3952 KB Output is correct
84 Correct 166 ms 3952 KB Output is correct
85 Correct 114 ms 3916 KB Output is correct
86 Correct 90 ms 4032 KB Output is correct
87 Correct 33 ms 5976 KB Output is correct
88 Correct 117 ms 11852 KB Output is correct
89 Runtime error 132 ms 63556 KB Execution killed with signal 11
90 Halted 0 ms 0 KB -