oj.uz

Submission #991982

# Submission time Handle Problem Language Result Execution time Memory
991982 2024-06-03T13:41:20 Z prvocislo Construction of Highway (JOI18_construction) C++17
100 / 100
 378 ms 25036 KB 
#include <algorithm>
#include <iostream>
#include <map>
#include <set>
#include <string>
#include <vector>
typedef long long ll;
using namespace std;

const int inf = 1e9 + 5;
struct intervalac
{
    int n;
    vector<int> st;
    void init(int N) { n = N, st.assign(2 * n, 0); }
    void upd(int i, int x) { for (i += n; i > 0; i >>= 1) st[i] += x; }
    ll query(int l, int r)
    {
        int ans = 0;
        for (l += n, r += n + 1; l < r; l >>= 1, r >>= 1)
        {
            if (l & 1) ans += st[l++];
            if (r & 1) ans += st[--r];
        }
        return ans;
    }
};
int n;
int cnt = 0;
vector<set<pair<pair<int, int>, int> > > zac; // zaciatky usekov v retaziach
vector<int> r, s, h, p, d, a, b, c; // moja retaz, moja velkost, najvyssi v mojej retazi, moj otec
vector<vector<int> > g;
void dfss(int u)
{
    s[u] = 1;
    for (int v : g[u]) d[v] = d[u] + 1, dfss(v), s[u] += s[v];
}
void dfs(int u)
{
    if (r[u] == -1) h[cnt] = u, r[u] = cnt++;

    int v2 = -1;
    for (int v : g[u]) if (v2 == -1 || s[v] > s[v2]) v2 = v;

    if (v2 != -1) r[v2] = r[u];
    else zac[r[u]].insert({ {d[h[r[u]]], d[u]}, c[n] });

    for (int v : g[u]) dfs(v);
}
int main()
{
    ios::sync_with_stdio(false);
    cin.tie(0);
    cin >> n;
    zac.assign(n, {}), r.assign(n, -1), s.assign(n, -1), h.assign(n, -1), p.assign(n, 0), d.assign(n, 0), a.assign(n - 1, 0), b.assign(n - 1, 0), c.assign(n, 0), g.assign(n, {});
    for (int i = 0; i < n; i++) cin >> c[i];
    c.push_back(inf);
    vector<int> c2 = c;
    sort(c2.begin(), c2.end());
    for (int i = 0; i <= n; i++) c[i] = lower_bound(c2.begin(), c2.end(), c[i]) - c2.begin();
    for (int i = 0; i < n - 1; i++) cin >> a[i] >> b[i], g[--a[i]].push_back(--b[i]), p[b[i]] = a[i];
    dfss(0);
    dfs(0);
    intervalac in;
    in.init(n + 1);
    for (int i = 0; i < n - 1; i++)
    {
        ll ans = 0;
        int u = b[i];
        vector<int> reset;
        while (true)
        {
            auto it = zac[r[u]].lower_bound({ {d[u] + 1, -1}, -1 });
            if (it == zac[r[u]].begin()) // uz sme vyhodili vsetky
            {
                zac[r[u]].insert({ {d[h[r[u]]], d[u]}, c[b[i]] });
                if (h[r[u]])
                {
                    u = p[h[r[u]]];
                    continue;
                }
                else break;
                continue;
            }
            it--;
            int dl = it->first.first, dr = it->first.second, col = it->second;
            reset.push_back(col);
            zac[r[u]].erase(it);
            ans += min(dr - dl + 1, d[u] - dl + 1) * 1ll * in.query(0, col - 1);
            in.upd(col, min(dr - dl + 1, d[u] - dl + 1));
            if (d[u] < dr) zac[r[u]].insert({ {d[u] + 1, dr}, col });
        }
        for (int j : reset) in.upd(j, -in.st[n + 1 + j]);
        cout << ans << "\n";
    }
    return 0;
}

Subtask #1
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 1 ms 348 KB Output is correct
4 Correct 1 ms 348 KB Output is correct
5 Correct 1 ms 348 KB Output is correct
6 Correct 1 ms 348 KB Output is correct
7 Correct 1 ms 348 KB Output is correct
8 Correct 1 ms 348 KB Output is correct
9 Correct 1 ms 344 KB Output is correct
10 Correct 1 ms 344 KB Output is correct
11 Correct 1 ms 348 KB Output is correct
12 Correct 1 ms 348 KB Output is correct
13 Correct 1 ms 348 KB Output is correct
14 Correct 1 ms 348 KB Output is correct
15 Correct 1 ms 464 KB Output is correct
16 Correct 1 ms 348 KB Output is correct
17 Correct 1 ms 348 KB Output is correct
18 Correct 1 ms 348 KB Output is correct
19 Correct 1 ms 348 KB Output is correct
20 Correct 1 ms 344 KB Output is correct
21 Correct 1 ms 348 KB Output is correct
22 Correct 1 ms 348 KB Output is correct
23 Correct 1 ms 348 KB Output is correct
24 Correct 1 ms 348 KB Output is correct
25 Correct 1 ms 348 KB Output is correct
26 Correct 1 ms 348 KB Output is correct
27 Correct 1 ms 348 KB Output is correct
28 Correct 0 ms 348 KB Output is correct
29 Correct 0 ms 456 KB Output is correct
30 Correct 1 ms 348 KB Output is correct
31 Correct 1 ms 348 KB Output is correct
32 Correct 1 ms 348 KB Output is correct
33 Correct 1 ms 348 KB Output is correct
34 Correct 1 ms 348 KB Output is correct
35 Correct 1 ms 348 KB Output is correct
36 Correct 0 ms 348 KB Output is correct
37 Correct 1 ms 456 KB Output is correct
38 Correct 1 ms 348 KB Output is correct
39 Correct 1 ms 348 KB Output is correct
40 Correct 1 ms 344 KB Output is correct
41 Correct 1 ms 348 KB Output is correct
42 Correct 1 ms 348 KB Output is correct
43 Correct 1 ms 348 KB Output is correct
44 Correct 0 ms 348 KB Output is correct

Subtask #2
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 1 ms 348 KB Output is correct
4 Correct 1 ms 348 KB Output is correct
5 Correct 1 ms 348 KB Output is correct
6 Correct 1 ms 348 KB Output is correct
7 Correct 1 ms 348 KB Output is correct
8 Correct 1 ms 348 KB Output is correct
9 Correct 1 ms 344 KB Output is correct
10 Correct 1 ms 344 KB Output is correct
11 Correct 1 ms 348 KB Output is correct
12 Correct 1 ms 348 KB Output is correct
13 Correct 1 ms 348 KB Output is correct
14 Correct 1 ms 348 KB Output is correct
15 Correct 1 ms 464 KB Output is correct
16 Correct 1 ms 348 KB Output is correct
17 Correct 1 ms 348 KB Output is correct
18 Correct 1 ms 348 KB Output is correct
19 Correct 1 ms 348 KB Output is correct
20 Correct 1 ms 344 KB Output is correct
21 Correct 1 ms 348 KB Output is correct
22 Correct 1 ms 348 KB Output is correct
23 Correct 1 ms 348 KB Output is correct
24 Correct 1 ms 348 KB Output is correct
25 Correct 1 ms 348 KB Output is correct
26 Correct 1 ms 348 KB Output is correct
27 Correct 1 ms 348 KB Output is correct
28 Correct 0 ms 348 KB Output is correct
29 Correct 0 ms 456 KB Output is correct
30 Correct 1 ms 348 KB Output is correct
31 Correct 1 ms 348 KB Output is correct
32 Correct 1 ms 348 KB Output is correct
33 Correct 1 ms 348 KB Output is correct
34 Correct 1 ms 348 KB Output is correct
35 Correct 1 ms 348 KB Output is correct
36 Correct 0 ms 348 KB Output is correct
37 Correct 1 ms 456 KB Output is correct
38 Correct 1 ms 348 KB Output is correct
39 Correct 1 ms 348 KB Output is correct
40 Correct 1 ms 344 KB Output is correct
41 Correct 1 ms 348 KB Output is correct
42 Correct 1 ms 348 KB Output is correct
43 Correct 1 ms 348 KB Output is correct
44 Correct 0 ms 348 KB Output is correct
45 Correct 2 ms 604 KB Output is correct
46 Correct 5 ms 1116 KB Output is correct
47 Correct 6 ms 1188 KB Output is correct
48 Correct 6 ms 1116 KB Output is correct
49 Correct 4 ms 1372 KB Output is correct
50 Correct 4 ms 1372 KB Output is correct
51 Correct 3 ms 1372 KB Output is correct
52 Correct 3 ms 1372 KB Output is correct
53 Correct 4 ms 1372 KB Output is correct
54 Correct 3 ms 1372 KB Output is correct
55 Correct 4 ms 1372 KB Output is correct
56 Correct 3 ms 1264 KB Output is correct
57 Correct 7 ms 1116 KB Output is correct
58 Correct 8 ms 1116 KB Output is correct
59 Correct 8 ms 1116 KB Output is correct
60 Correct 8 ms 1116 KB Output is correct
61 Correct 3 ms 1116 KB Output is correct
62 Correct 3 ms 1116 KB Output is correct
63 Correct 4 ms 1116 KB Output is correct
64 Correct 5 ms 1180 KB Output is correct
65 Correct 5 ms 1116 KB Output is correct
66 Correct 5 ms 1220 KB Output is correct
67 Correct 6 ms 1116 KB Output is correct
68 Correct 2 ms 1116 KB Output is correct
69 Correct 4 ms 1368 KB Output is correct
70 Correct 3 ms 1372 KB Output is correct
71 Correct 3 ms 1116 KB Output is correct
72 Correct 7 ms 1116 KB Output is correct
73 Correct 8 ms 1116 KB Output is correct
74 Correct 4 ms 1116 KB Output is correct
75 Correct 4 ms 1116 KB Output is correct
76 Correct 3 ms 1116 KB Output is correct
77 Correct 3 ms 1116 KB Output is correct
78 Correct 3 ms 1116 KB Output is correct
79 Correct 3 ms 1116 KB Output is correct
80 Correct 3 ms 1180 KB Output is correct
81 Correct 4 ms 1140 KB Output is correct
82 Correct 4 ms 1116 KB Output is correct
83 Correct 3 ms 1116 KB Output is correct
84 Correct 3 ms 1116 KB Output is correct
85 Correct 3 ms 1116 KB Output is correct
86 Correct 4 ms 1116 KB Output is correct

Subtask #3
84.0 / 84.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 1 ms 348 KB Output is correct
4 Correct 1 ms 348 KB Output is correct
5 Correct 1 ms 348 KB Output is correct
6 Correct 1 ms 348 KB Output is correct
7 Correct 1 ms 348 KB Output is correct
8 Correct 1 ms 348 KB Output is correct
9 Correct 1 ms 344 KB Output is correct
10 Correct 1 ms 344 KB Output is correct
11 Correct 1 ms 348 KB Output is correct
12 Correct 1 ms 348 KB Output is correct
13 Correct 1 ms 348 KB Output is correct
14 Correct 1 ms 348 KB Output is correct
15 Correct 1 ms 464 KB Output is correct
16 Correct 1 ms 348 KB Output is correct
17 Correct 1 ms 348 KB Output is correct
18 Correct 1 ms 348 KB Output is correct
19 Correct 1 ms 348 KB Output is correct
20 Correct 1 ms 344 KB Output is correct
21 Correct 1 ms 348 KB Output is correct
22 Correct 1 ms 348 KB Output is correct
23 Correct 1 ms 348 KB Output is correct
24 Correct 1 ms 348 KB Output is correct
25 Correct 1 ms 348 KB Output is correct
26 Correct 1 ms 348 KB Output is correct
27 Correct 1 ms 348 KB Output is correct
28 Correct 0 ms 348 KB Output is correct
29 Correct 0 ms 456 KB Output is correct
30 Correct 1 ms 348 KB Output is correct
31 Correct 1 ms 348 KB Output is correct
32 Correct 1 ms 348 KB Output is correct
33 Correct 1 ms 348 KB Output is correct
34 Correct 1 ms 348 KB Output is correct
35 Correct 1 ms 348 KB Output is correct
36 Correct 0 ms 348 KB Output is correct
37 Correct 1 ms 456 KB Output is correct
38 Correct 1 ms 348 KB Output is correct
39 Correct 1 ms 348 KB Output is correct
40 Correct 1 ms 344 KB Output is correct
41 Correct 1 ms 348 KB Output is correct
42 Correct 1 ms 348 KB Output is correct
43 Correct 1 ms 348 KB Output is correct
44 Correct 0 ms 348 KB Output is correct
45 Correct 2 ms 604 KB Output is correct
46 Correct 5 ms 1116 KB Output is correct
47 Correct 6 ms 1188 KB Output is correct
48 Correct 6 ms 1116 KB Output is correct
49 Correct 4 ms 1372 KB Output is correct
50 Correct 4 ms 1372 KB Output is correct
51 Correct 3 ms 1372 KB Output is correct
52 Correct 3 ms 1372 KB Output is correct
53 Correct 4 ms 1372 KB Output is correct
54 Correct 3 ms 1372 KB Output is correct
55 Correct 4 ms 1372 KB Output is correct
56 Correct 3 ms 1264 KB Output is correct
57 Correct 7 ms 1116 KB Output is correct
58 Correct 8 ms 1116 KB Output is correct
59 Correct 8 ms 1116 KB Output is correct
60 Correct 8 ms 1116 KB Output is correct
61 Correct 3 ms 1116 KB Output is correct
62 Correct 3 ms 1116 KB Output is correct
63 Correct 4 ms 1116 KB Output is correct
64 Correct 5 ms 1180 KB Output is correct
65 Correct 5 ms 1116 KB Output is correct
66 Correct 5 ms 1220 KB Output is correct
67 Correct 6 ms 1116 KB Output is correct
68 Correct 2 ms 1116 KB Output is correct
69 Correct 4 ms 1368 KB Output is correct
70 Correct 3 ms 1372 KB Output is correct
71 Correct 3 ms 1116 KB Output is correct
72 Correct 7 ms 1116 KB Output is correct
73 Correct 8 ms 1116 KB Output is correct
74 Correct 4 ms 1116 KB Output is correct
75 Correct 4 ms 1116 KB Output is correct
76 Correct 3 ms 1116 KB Output is correct
77 Correct 3 ms 1116 KB Output is correct
78 Correct 3 ms 1116 KB Output is correct
79 Correct 3 ms 1116 KB Output is correct
80 Correct 3 ms 1180 KB Output is correct
81 Correct 4 ms 1140 KB Output is correct
82 Correct 4 ms 1116 KB Output is correct
83 Correct 3 ms 1116 KB Output is correct
84 Correct 3 ms 1116 KB Output is correct
85 Correct 3 ms 1116 KB Output is correct
86 Correct 4 ms 1116 KB Output is correct
87 Correct 16 ms 2396 KB Output is correct
88 Correct 60 ms 6228 KB Output is correct
89 Correct 218 ms 20112 KB Output is correct
90 Correct 218 ms 20168 KB Output is correct
91 Correct 213 ms 20336 KB Output is correct
92 Correct 79 ms 23496 KB Output is correct
93 Correct 79 ms 23496 KB Output is correct
94 Correct 79 ms 23344 KB Output is correct
95 Correct 104 ms 24524 KB Output is correct
96 Correct 110 ms 25032 KB Output is correct
97 Correct 115 ms 25036 KB Output is correct
98 Correct 112 ms 24980 KB Output is correct
99 Correct 84 ms 22052 KB Output is correct
100 Correct 300 ms 21964 KB Output is correct
101 Correct 378 ms 22472 KB Output is correct
102 Correct 355 ms 22476 KB Output is correct
103 Correct 369 ms 22472 KB Output is correct
104 Correct 102 ms 21980 KB Output is correct
105 Correct 97 ms 21932 KB Output is correct
106 Correct 98 ms 21964 KB Output is correct
107 Correct 151 ms 19404 KB Output is correct
108 Correct 179 ms 19344 KB Output is correct
109 Correct 212 ms 19660 KB Output is correct
110 Correct 75 ms 22728 KB Output is correct
111 Correct 106 ms 24524 KB Output is correct
112 Correct 100 ms 24264 KB Output is correct
113 Correct 77 ms 21452 KB Output is correct
114 Correct 307 ms 22220 KB Output is correct
115 Correct 326 ms 21784 KB Output is correct
116 Correct 90 ms 21272 KB Output is correct
117 Correct 91 ms 20120 KB Output is correct
118 Correct 90 ms 19596 KB Output is correct
119 Correct 92 ms 19148 KB Output is correct
120 Correct 79 ms 19636 KB Output is correct
121 Correct 78 ms 19112 KB Output is correct
122 Correct 94 ms 18924 KB Output is correct
123 Correct 106 ms 20172 KB Output is correct
124 Correct 118 ms 19548 KB Output is correct
125 Correct 108 ms 19404 KB Output is correct
126 Correct 95 ms 19916 KB Output is correct
127 Correct 95 ms 19392 KB Output is correct
128 Correct 101 ms 19144 KB Output is correct