oj.uz

Submission #533373

# Submission time Handle Problem Language Result Execution time Memory
533373 2022-03-05T18:44:03 Z Lobo Construction of Highway (JOI18_construction) C++17
100 / 100
 1674 ms 25312 KB 
#include<bits/stdc++.h>
using namespace std;

const long long inf = (long long) 1e18 + 10;
const int inf1 = (int) 1e9 + 10;
#define int long long
#define dbl long double
#define endl '\n'
#define sc second
#define fr first
#define mp make_pair
#define pb push_back
#define all(x) x.begin(), x.end()

#define maxn 100100

int n, a[maxn], b[maxn], c[maxn], sz[maxn], pai[maxn], ant[maxn], h[maxn], bit[maxn];
vector<int> g[maxn];
vector<pair<pair<int,int>,int>> bl[maxn];

void att(int pos, int val) {
    for(int i = pos; i <= n; i+= i&-i) {
        bit[i]+= val;
    }
}

int qrr(int pos) {
    int val = 0;
    for(int i = pos; i > 0; i-= i&-i) {
        val+= bit[i];
    }
    return val;
}

void dfshld(int u) {
    pair<int,int> mx;
    for(auto v : g[u]) {
        mx = max(mx,mp(sz[v],v));
    }

    if(mx.sc == 0) return;

    pai[mx.sc] = pai[u];
    ant[mx.sc] = u;
    dfshld(mx.sc);
    for(auto v : g[u]) {
        if(v == mx.sc) continue;
        pai[v] = v;
        ant[v] = u;
        dfshld(v);
    }
}

void dfssz(int u, int ant) {
    sz[u] = 1;
    for(auto v : g[u]) {
        if(v == ant) continue;
        h[v] = h[u]+1;
        dfssz(v,u);
        sz[u]+= sz[v];
    }
}


void solve() {
    cin >> n;

    vector<int> cc;
    for(int i = 1; i <= n; i++) {
        cin >> c[i];
        c[i] = -c[i];
        cc.pb(c[i]);
    }

    sort(all(cc));
    cc.erase(unique(all(cc)),cc.end());

    for(int i = 1; i <= n; i++) {
        c[i] = upper_bound(all(cc),c[i]) - cc.begin();
    }

    for(int i = 1; i <= n-1; i++) {
        cin >> a[i] >> b[i];
        g[a[i]].pb(b[i]);
    }

    dfssz(1,1);
    ant[1] = 0;
    pai[1] = 1;
    dfshld(1);

    // for(int i = 1; i <= n; i++) {
    //     cout << i << " " << ant[i] << " " << pai[i] << endl;
    // }

    bl[1].pb(mp(mp(0,0),c[1]));
    //mp(mp(altura minima,altura maxima),cor)

    for(int i = 1; i <= n-1; i++) {
        int u = a[i];

        vector<pair<pair<int,int>,int>> cols;
        int v = u;
        while(v != 0) {
            // cout << "- " << v << endl;
            if(pai[v] != v) {
                for(auto x : bl[pai[v]]) {
                    if(x.fr.fr <= h[v]) cols.pb(mp(mp(x.fr.fr,min(h[v],x.fr.sc)),x.sc));
                }
            }
            else {
                cols.pb(mp(mp(h[v],h[v]),bl[v].back().sc));
            }

            v = ant[pai[v]];
        }

        // cout << b[i] << " " << c[b[i]] << endl;
        sort(all(cols));
        int ans = 0;
        for(auto X : cols) {
            int qtd = X.fr.sc-X.fr.fr+1;
            int col = X.sc;
            // cout << " " << X.fr.fr << " " << X.fr.sc << " " << col << endl;

            ans+= qtd*qrr(col-1);
            att(col,qtd);
        }

        cout << ans << endl;

        for(auto X : cols) {
            int qtd = X.fr.sc-X.fr.fr+1;
            int col = X.sc;

            att(col,-qtd);
        }

        //atualizacao
        //bl[i] tem que estar em ordem decrescente, com o bloco do pai sendo o ultimo

        v = b[i];
        int newc = c[b[i]];
        while(v != 0) {
            // cout << "   " << v << endl;
            while(bl[pai[v]].size() && bl[pai[v]].back().fr.sc <= h[v]) bl[pai[v]].pop_back();
            if(bl[pai[v]].size() != 0) {
                auto x = bl[pai[v]].back();
                // cout << "    " << x.fr.fr << " " << x.fr.sc << " " << x.sc << " " << h[v] << endl;
                bl[pai[v]].pop_back();
                bl[pai[v]].pb(mp(mp(h[v]+1,x.fr.sc),x.sc));
            }

            
            bl[pai[v]].pb(mp(mp(h[pai[v]],h[v]),newc));
            
            v = ant[pai[v]];
        }


    }


}

int32_t main() {
    ios::sync_with_stdio(false); cin.tie(0);

    // freopen("in.in", "r", stdin);
    //freopen("out.out", "w", stdout);

    int tt = 1;
    // cin >> tt;
    while(tt--) solve();

}

Subtask #1
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 5028 KB Output is correct
2 Correct 3 ms 5012 KB Output is correct
3 Correct 3 ms 5020 KB Output is correct
4 Correct 3 ms 5064 KB Output is correct
5 Correct 3 ms 5032 KB Output is correct
6 Correct 4 ms 5068 KB Output is correct
7 Correct 3 ms 5068 KB Output is correct
8 Correct 3 ms 5068 KB Output is correct
9 Correct 3 ms 5068 KB Output is correct
10 Correct 3 ms 5068 KB Output is correct
11 Correct 3 ms 5068 KB Output is correct
12 Correct 3 ms 5160 KB Output is correct
13 Correct 4 ms 5068 KB Output is correct
14 Correct 3 ms 5020 KB Output is correct
15 Correct 3 ms 5068 KB Output is correct
16 Correct 3 ms 5068 KB Output is correct
17 Correct 3 ms 5068 KB Output is correct
18 Correct 3 ms 5028 KB Output is correct
19 Correct 3 ms 5068 KB Output is correct
20 Correct 3 ms 5068 KB Output is correct
21 Correct 3 ms 5028 KB Output is correct
22 Correct 3 ms 5068 KB Output is correct
23 Correct 3 ms 5068 KB Output is correct
24 Correct 4 ms 5068 KB Output is correct
25 Correct 3 ms 5068 KB Output is correct
26 Correct 3 ms 5068 KB Output is correct
27 Correct 3 ms 5160 KB Output is correct
28 Correct 4 ms 5068 KB Output is correct
29 Correct 3 ms 5068 KB Output is correct
30 Correct 5 ms 5068 KB Output is correct
31 Correct 4 ms 5068 KB Output is correct
32 Correct 4 ms 5068 KB Output is correct
33 Correct 4 ms 5028 KB Output is correct
34 Correct 5 ms 5028 KB Output is correct
35 Correct 3 ms 5068 KB Output is correct
36 Correct 3 ms 5068 KB Output is correct
37 Correct 3 ms 5080 KB Output is correct
38 Correct 3 ms 5068 KB Output is correct
39 Correct 3 ms 5068 KB Output is correct
40 Correct 3 ms 5068 KB Output is correct
41 Correct 3 ms 5068 KB Output is correct
42 Correct 3 ms 5068 KB Output is correct
43 Correct 3 ms 5012 KB Output is correct
44 Correct 3 ms 5028 KB Output is correct

Subtask #2
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 5028 KB Output is correct
2 Correct 3 ms 5012 KB Output is correct
3 Correct 3 ms 5020 KB Output is correct
4 Correct 3 ms 5064 KB Output is correct
5 Correct 3 ms 5032 KB Output is correct
6 Correct 4 ms 5068 KB Output is correct
7 Correct 3 ms 5068 KB Output is correct
8 Correct 3 ms 5068 KB Output is correct
9 Correct 3 ms 5068 KB Output is correct
10 Correct 3 ms 5068 KB Output is correct
11 Correct 3 ms 5068 KB Output is correct
12 Correct 3 ms 5160 KB Output is correct
13 Correct 4 ms 5068 KB Output is correct
14 Correct 3 ms 5020 KB Output is correct
15 Correct 3 ms 5068 KB Output is correct
16 Correct 3 ms 5068 KB Output is correct
17 Correct 3 ms 5068 KB Output is correct
18 Correct 3 ms 5028 KB Output is correct
19 Correct 3 ms 5068 KB Output is correct
20 Correct 3 ms 5068 KB Output is correct
21 Correct 3 ms 5028 KB Output is correct
22 Correct 3 ms 5068 KB Output is correct
23 Correct 3 ms 5068 KB Output is correct
24 Correct 4 ms 5068 KB Output is correct
25 Correct 3 ms 5068 KB Output is correct
26 Correct 3 ms 5068 KB Output is correct
27 Correct 3 ms 5160 KB Output is correct
28 Correct 4 ms 5068 KB Output is correct
29 Correct 3 ms 5068 KB Output is correct
30 Correct 5 ms 5068 KB Output is correct
31 Correct 4 ms 5068 KB Output is correct
32 Correct 4 ms 5068 KB Output is correct
33 Correct 4 ms 5028 KB Output is correct
34 Correct 5 ms 5028 KB Output is correct
35 Correct 3 ms 5068 KB Output is correct
36 Correct 3 ms 5068 KB Output is correct
37 Correct 3 ms 5080 KB Output is correct
38 Correct 3 ms 5068 KB Output is correct
39 Correct 3 ms 5068 KB Output is correct
40 Correct 3 ms 5068 KB Output is correct
41 Correct 3 ms 5068 KB Output is correct
42 Correct 3 ms 5068 KB Output is correct
43 Correct 3 ms 5012 KB Output is correct
44 Correct 3 ms 5028 KB Output is correct
45 Correct 4 ms 5068 KB Output is correct
46 Correct 7 ms 5580 KB Output is correct
47 Correct 7 ms 5548 KB Output is correct
48 Correct 9 ms 5580 KB Output is correct
49 Correct 6 ms 5828 KB Output is correct
50 Correct 6 ms 5800 KB Output is correct
51 Correct 6 ms 5836 KB Output is correct
52 Correct 8 ms 5708 KB Output is correct
53 Correct 7 ms 5836 KB Output is correct
54 Correct 8 ms 5804 KB Output is correct
55 Correct 8 ms 5836 KB Output is correct
56 Correct 5 ms 5708 KB Output is correct
57 Correct 9 ms 5580 KB Output is correct
58 Correct 9 ms 5572 KB Output is correct
59 Correct 9 ms 5580 KB Output is correct
60 Correct 10 ms 5548 KB Output is correct
61 Correct 7 ms 5668 KB Output is correct
62 Correct 8 ms 5708 KB Output is correct
63 Correct 6 ms 5708 KB Output is correct
64 Correct 7 ms 5460 KB Output is correct
65 Correct 9 ms 5492 KB Output is correct
66 Correct 7 ms 5548 KB Output is correct
67 Correct 9 ms 5568 KB Output is correct
68 Correct 6 ms 5808 KB Output is correct
69 Correct 9 ms 5728 KB Output is correct
70 Correct 8 ms 5804 KB Output is correct
71 Correct 5 ms 5580 KB Output is correct
72 Correct 9 ms 5568 KB Output is correct
73 Correct 11 ms 5580 KB Output is correct
74 Correct 6 ms 5548 KB Output is correct
75 Correct 5 ms 5548 KB Output is correct
76 Correct 6 ms 5580 KB Output is correct
77 Correct 6 ms 5580 KB Output is correct
78 Correct 5 ms 5548 KB Output is correct
79 Correct 5 ms 5556 KB Output is correct
80 Correct 5 ms 5548 KB Output is correct
81 Correct 6 ms 5580 KB Output is correct
82 Correct 6 ms 5548 KB Output is correct
83 Correct 6 ms 5544 KB Output is correct
84 Correct 5 ms 5580 KB Output is correct
85 Correct 6 ms 5548 KB Output is correct
86 Correct 15 ms 5452 KB Output is correct

Subtask #3
84.0 / 84.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 5028 KB Output is correct
2 Correct 3 ms 5012 KB Output is correct
3 Correct 3 ms 5020 KB Output is correct
4 Correct 3 ms 5064 KB Output is correct
5 Correct 3 ms 5032 KB Output is correct
6 Correct 4 ms 5068 KB Output is correct
7 Correct 3 ms 5068 KB Output is correct
8 Correct 3 ms 5068 KB Output is correct
9 Correct 3 ms 5068 KB Output is correct
10 Correct 3 ms 5068 KB Output is correct
11 Correct 3 ms 5068 KB Output is correct
12 Correct 3 ms 5160 KB Output is correct
13 Correct 4 ms 5068 KB Output is correct
14 Correct 3 ms 5020 KB Output is correct
15 Correct 3 ms 5068 KB Output is correct
16 Correct 3 ms 5068 KB Output is correct
17 Correct 3 ms 5068 KB Output is correct
18 Correct 3 ms 5028 KB Output is correct
19 Correct 3 ms 5068 KB Output is correct
20 Correct 3 ms 5068 KB Output is correct
21 Correct 3 ms 5028 KB Output is correct
22 Correct 3 ms 5068 KB Output is correct
23 Correct 3 ms 5068 KB Output is correct
24 Correct 4 ms 5068 KB Output is correct
25 Correct 3 ms 5068 KB Output is correct
26 Correct 3 ms 5068 KB Output is correct
27 Correct 3 ms 5160 KB Output is correct
28 Correct 4 ms 5068 KB Output is correct
29 Correct 3 ms 5068 KB Output is correct
30 Correct 5 ms 5068 KB Output is correct
31 Correct 4 ms 5068 KB Output is correct
32 Correct 4 ms 5068 KB Output is correct
33 Correct 4 ms 5028 KB Output is correct
34 Correct 5 ms 5028 KB Output is correct
35 Correct 3 ms 5068 KB Output is correct
36 Correct 3 ms 5068 KB Output is correct
37 Correct 3 ms 5080 KB Output is correct
38 Correct 3 ms 5068 KB Output is correct
39 Correct 3 ms 5068 KB Output is correct
40 Correct 3 ms 5068 KB Output is correct
41 Correct 3 ms 5068 KB Output is correct
42 Correct 3 ms 5068 KB Output is correct
43 Correct 3 ms 5012 KB Output is correct
44 Correct 3 ms 5028 KB Output is correct
45 Correct 4 ms 5068 KB Output is correct
46 Correct 7 ms 5580 KB Output is correct
47 Correct 7 ms 5548 KB Output is correct
48 Correct 9 ms 5580 KB Output is correct
49 Correct 6 ms 5828 KB Output is correct
50 Correct 6 ms 5800 KB Output is correct
51 Correct 6 ms 5836 KB Output is correct
52 Correct 8 ms 5708 KB Output is correct
53 Correct 7 ms 5836 KB Output is correct
54 Correct 8 ms 5804 KB Output is correct
55 Correct 8 ms 5836 KB Output is correct
56 Correct 5 ms 5708 KB Output is correct
57 Correct 9 ms 5580 KB Output is correct
58 Correct 9 ms 5572 KB Output is correct
59 Correct 9 ms 5580 KB Output is correct
60 Correct 10 ms 5548 KB Output is correct
61 Correct 7 ms 5668 KB Output is correct
62 Correct 8 ms 5708 KB Output is correct
63 Correct 6 ms 5708 KB Output is correct
64 Correct 7 ms 5460 KB Output is correct
65 Correct 9 ms 5492 KB Output is correct
66 Correct 7 ms 5548 KB Output is correct
67 Correct 9 ms 5568 KB Output is correct
68 Correct 6 ms 5808 KB Output is correct
69 Correct 9 ms 5728 KB Output is correct
70 Correct 8 ms 5804 KB Output is correct
71 Correct 5 ms 5580 KB Output is correct
72 Correct 9 ms 5568 KB Output is correct
73 Correct 11 ms 5580 KB Output is correct
74 Correct 6 ms 5548 KB Output is correct
75 Correct 5 ms 5548 KB Output is correct
76 Correct 6 ms 5580 KB Output is correct
77 Correct 6 ms 5580 KB Output is correct
78 Correct 5 ms 5548 KB Output is correct
79 Correct 5 ms 5556 KB Output is correct
80 Correct 5 ms 5548 KB Output is correct
81 Correct 6 ms 5580 KB Output is correct
82 Correct 6 ms 5548 KB Output is correct
83 Correct 6 ms 5544 KB Output is correct
84 Correct 5 ms 5580 KB Output is correct
85 Correct 6 ms 5548 KB Output is correct
86 Correct 15 ms 5452 KB Output is correct
87 Correct 16 ms 6340 KB Output is correct
88 Correct 49 ms 8960 KB Output is correct
89 Correct 208 ms 18412 KB Output is correct
90 Correct 184 ms 18364 KB Output is correct
91 Correct 265 ms 18416 KB Output is correct
92 Correct 87 ms 25272 KB Output is correct
93 Correct 87 ms 25272 KB Output is correct
94 Correct 100 ms 25312 KB Output is correct
95 Correct 1497 ms 24480 KB Output is correct
96 Correct 1519 ms 25032 KB Output is correct
97 Correct 1674 ms 24944 KB Output is correct
98 Correct 1546 ms 24980 KB Output is correct
99 Correct 112 ms 21620 KB Output is correct
100 Correct 239 ms 18620 KB Output is correct
101 Correct 355 ms 18744 KB Output is correct
102 Correct 283 ms 18888 KB Output is correct
103 Correct 282 ms 18808 KB Output is correct
104 Correct 148 ms 21564 KB Output is correct
105 Correct 104 ms 21556 KB Output is correct
106 Correct 112 ms 21476 KB Output is correct
107 Correct 194 ms 16796 KB Output is correct
108 Correct 155 ms 16928 KB Output is correct
109 Correct 181 ms 17468 KB Output is correct
110 Correct 92 ms 24132 KB Output is correct
111 Correct 1439 ms 24436 KB Output is correct
112 Correct 1517 ms 23536 KB Output is correct
113 Correct 97 ms 20200 KB Output is correct
114 Correct 248 ms 18540 KB Output is correct
115 Correct 255 ms 17424 KB Output is correct
116 Correct 101 ms 20164 KB Output is correct
117 Correct 102 ms 19216 KB Output is correct
118 Correct 106 ms 18660 KB Output is correct
119 Correct 107 ms 18140 KB Output is correct
120 Correct 98 ms 18080 KB Output is correct
121 Correct 96 ms 17468 KB Output is correct
122 Correct 90 ms 17184 KB Output is correct
123 Correct 116 ms 19304 KB Output is correct
124 Correct 125 ms 18548 KB Output is correct
125 Correct 117 ms 18332 KB Output is correct
126 Correct 105 ms 18200 KB Output is correct
127 Correct 107 ms 17596 KB Output is correct
128 Correct 103 ms 17296 KB Output is correct