oj.uz

Submission #996474

# Submission time Handle Problem Language Result Execution time Memory
996474 2024-06-10T16:45:17 Z otarius Designated Cities (JOI19_designated_cities) C++17
100 / 100
 296 ms 83612 KB 
#include <iostream>
#include <algorithm>
#include <vector>
#include <set>
#include <cstring>
#include <queue>
#include <map>
#include <cmath>
#include <iomanip>
using namespace std;

#define ff first
#define sc second
#define pb push_back
#define ll long long
#define pll pair<ll, ll>
#define pii pair <int, int>
#define ull unsigned long long

#define int long long
// #define int unsigned long long

const ll inf = 1e9 + 7;
const ll weirdMod = 998244353;

struct node {
    int mx, nd;
} t[800040];
pii rts;
bool used[200005];
vector<pair<int, pii>> G[200005];
int n, q, ans[200005], dep[200005], dp[200005], p[200005], val[200005], cst[200005], in[200005], out[200005], lazy[800040], rev[200005], mx, tim;
bool comp(int a, int b) {
    return (val[a] + dep[a] > val[b] + dep[b]);
}
void prop(int v, int tl, int tr) {
    t[v].mx += lazy[v];
    if (tl != tr) {
        lazy[2 * v] += lazy[v];
        lazy[2 * v + 1] += lazy[v];
    } lazy[v] = 0;
}
void build(int v, int tl, int tr) {
    if (tl == tr) {
        t[v].nd = tl;
        return;
    } int tm = (tl + tr) / 2;
    build(2 * v, tl, tm);
    build(2 * v + 1, tm + 1, tr);
}
void update(int v, int tl, int tr, int l, int r, int val) {
    if (lazy[v])
        prop(v, tl, tr);
    if (r < tl || tr < l)
        return;
    if (l <= tl && tr <= r) {
        t[v].mx += val;
        if (tl != tr) {
            lazy[2 * v] += val;
            lazy[2 * v + 1] += val;
        } return;
    } int tm = (tl + tr) / 2;
    update(2 * v, tl, tm, l, min(r, tm), val);
    update(2 * v + 1, tm + 1, tr, max(l, tm + 1), r, val);
    if (t[2 * v].mx > t[2 * v + 1].mx) t[v] = t[2 * v];
    else t[v] = t[2 * v + 1];
}
void subtract(int v) {
    if (used[v]) return;
    update(1, 1, n, in[v], out[v], -cst[v]);
    used[v] = 1; subtract(p[v]);
}
void temp_dfs(int v, int par) {
    for (auto u : G[v]) {
        if (u.ff == par) continue;
        val[1] += u.sc.sc;
        temp_dfs(u.ff, v);
    }
}
void reroot_dfs(int v, int par) {
    for (auto u : G[v]) {
        if (u.ff == par) continue;
        val[u.ff] = val[v] - u.sc.sc + u.sc.ff;
        reroot_dfs(u.ff, v);
    }
}
void pair_dfs(int v, int par) {
    vector<int> vec = {v};
    for (auto u : G[v]) {
        if (u.ff == par) continue;
        dep[u.ff] = dep[v] + u.sc.ff + u.sc.sc;
        pair_dfs(u.ff, v); vec.pb({dp[u.ff]});
    } sort(vec.begin(), vec.end(), comp);
    dp[v] = vec[0];
    if (vec.size() == 1) return;
    int cur = val[vec[0]] + val[vec[1]] + dep[vec[0]] + dep[vec[1]] - 2 * dep[v];
    if (cur > mx) {
        mx = cur; rts = {vec[0], vec[1]};
    }
}
void build_dfs(int v, int par, int lst) {
    p[v] = par;
    cst[v] = lst;
    in[v] = ++tim;
    rev[in[v]] = v;
    dep[v] = dep[par] + lst;
    if (G[v].size() == 1 && v != rts.sc)
        update(1, 1, n, in[v], in[v], dep[v]);
    for (auto u : G[v]) {
        if (u.ff == par) continue;
        build_dfs(u.ff, v, u.sc.ff);
    } out[v] = tim;
}
void solve() {
    cin >> n;
    int sum = 0;
    for (int i = 1; i < n; i++) {
        int a, b, x, y;
        cin >> a >> b >> x >> y;
        G[a].pb({b, {x, y}});
        G[b].pb({a, {y, x}});
        sum += x + y;
    } temp_dfs(1, 0); reroot_dfs(1, 0); pair_dfs(1, 0);
    ans[2] = mx / 2;
    for (int i = 1; i <= n; i++)
        ans[1] = max(ans[1], val[i]);
    build(1, 1, n); build_dfs(rts.sc, 0, 0);
    used[rts.sc] = 1; subtract(rts.ff);
    for (int i = 3; i <= n; i++) {
        ans[i] = ans[i - 1] + t[1].mx;
        subtract(rev[t[1].nd]);
    } int q; cin >> q;
    while (q--) {
        int x; cin >> x;
        cout << sum - ans[x] << '\n';
    }
}
int32_t main() {
    ios_base::sync_with_stdio(false);
    cin.tie(nullptr); cout.tie(nullptr);
    
    int t = 1;
    // cin >> t;
    while (t--) {
        solve();
        cout << '\n';
    }
    return 0;
}

Subtask #1
6.0 / 6.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 18780 KB Output is correct
2 Correct 2 ms 18780 KB Output is correct
3 Correct 2 ms 18780 KB Output is correct
4 Correct 2 ms 18780 KB Output is correct
5 Correct 2 ms 18780 KB Output is correct
6 Correct 2 ms 18780 KB Output is correct
7 Correct 2 ms 18780 KB Output is correct
8 Correct 2 ms 18776 KB Output is correct
9 Correct 2 ms 18780 KB Output is correct
10 Correct 3 ms 19036 KB Output is correct
11 Correct 2 ms 18780 KB Output is correct

Subtask #2
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 18780 KB Output is correct
2 Correct 250 ms 54232 KB Output is correct
3 Correct 271 ms 79184 KB Output is correct
4 Correct 229 ms 52816 KB Output is correct
5 Correct 267 ms 54788 KB Output is correct
6 Correct 266 ms 57680 KB Output is correct
7 Correct 291 ms 55288 KB Output is correct
8 Correct 281 ms 79724 KB Output is correct
9 Correct 243 ms 55880 KB Output is correct

Subtask #3
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 18776 KB Output is correct
2 Correct 244 ms 47744 KB Output is correct
3 Correct 289 ms 76968 KB Output is correct
4 Correct 223 ms 47952 KB Output is correct
5 Correct 233 ms 48392 KB Output is correct
6 Correct 249 ms 51796 KB Output is correct
7 Correct 230 ms 49652 KB Output is correct
8 Correct 296 ms 63752 KB Output is correct
9 Correct 222 ms 49400 KB Output is correct

Subtask #4
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 18780 KB Output is correct
2 Correct 2 ms 18780 KB Output is correct
3 Correct 2 ms 18780 KB Output is correct
4 Correct 2 ms 18780 KB Output is correct
5 Correct 2 ms 18780 KB Output is correct
6 Correct 2 ms 18780 KB Output is correct
7 Correct 2 ms 18780 KB Output is correct
8 Correct 2 ms 18776 KB Output is correct
9 Correct 2 ms 18780 KB Output is correct
10 Correct 3 ms 19036 KB Output is correct
11 Correct 2 ms 18780 KB Output is correct
12 Correct 2 ms 18780 KB Output is correct
13 Correct 4 ms 19036 KB Output is correct
14 Correct 4 ms 19292 KB Output is correct
15 Correct 4 ms 19192 KB Output is correct
16 Correct 4 ms 19036 KB Output is correct
17 Correct 4 ms 19220 KB Output is correct
18 Correct 6 ms 19128 KB Output is correct
19 Correct 4 ms 19036 KB Output is correct
20 Correct 4 ms 19036 KB Output is correct
21 Correct 4 ms 19036 KB Output is correct
22 Correct 4 ms 19032 KB Output is correct
23 Correct 4 ms 19032 KB Output is correct
24 Correct 4 ms 19292 KB Output is correct
25 Correct 5 ms 19292 KB Output is correct
26 Correct 5 ms 19036 KB Output is correct

Subtask #5
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 18780 KB Output is correct
2 Correct 250 ms 54232 KB Output is correct
3 Correct 271 ms 79184 KB Output is correct
4 Correct 229 ms 52816 KB Output is correct
5 Correct 267 ms 54788 KB Output is correct
6 Correct 266 ms 57680 KB Output is correct
7 Correct 291 ms 55288 KB Output is correct
8 Correct 281 ms 79724 KB Output is correct
9 Correct 243 ms 55880 KB Output is correct
10 Correct 2 ms 18776 KB Output is correct
11 Correct 244 ms 47744 KB Output is correct
12 Correct 289 ms 76968 KB Output is correct
13 Correct 223 ms 47952 KB Output is correct
14 Correct 233 ms 48392 KB Output is correct
15 Correct 249 ms 51796 KB Output is correct
16 Correct 230 ms 49652 KB Output is correct
17 Correct 296 ms 63752 KB Output is correct
18 Correct 222 ms 49400 KB Output is correct
19 Correct 2 ms 18776 KB Output is correct
20 Correct 250 ms 54292 KB Output is correct
21 Correct 255 ms 83612 KB Output is correct
22 Correct 233 ms 52956 KB Output is correct
23 Correct 233 ms 54612 KB Output is correct
24 Correct 270 ms 53344 KB Output is correct
25 Correct 252 ms 54676 KB Output is correct
26 Correct 239 ms 53328 KB Output is correct
27 Correct 238 ms 54636 KB Output is correct
28 Correct 264 ms 57684 KB Output is correct
29 Correct 238 ms 54868 KB Output is correct
30 Correct 247 ms 53588 KB Output is correct
31 Correct 242 ms 54780 KB Output is correct
32 Correct 291 ms 71380 KB Output is correct
33 Correct 225 ms 55840 KB Output is correct

Subtask #6
44.0 / 44.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 18780 KB Output is correct
2 Correct 2 ms 18780 KB Output is correct
3 Correct 2 ms 18780 KB Output is correct
4 Correct 2 ms 18780 KB Output is correct
5 Correct 2 ms 18780 KB Output is correct
6 Correct 2 ms 18780 KB Output is correct
7 Correct 2 ms 18780 KB Output is correct
8 Correct 2 ms 18776 KB Output is correct
9 Correct 2 ms 18780 KB Output is correct
10 Correct 3 ms 19036 KB Output is correct
11 Correct 2 ms 18780 KB Output is correct
12 Correct 2 ms 18780 KB Output is correct
13 Correct 250 ms 54232 KB Output is correct
14 Correct 271 ms 79184 KB Output is correct
15 Correct 229 ms 52816 KB Output is correct
16 Correct 267 ms 54788 KB Output is correct
17 Correct 266 ms 57680 KB Output is correct
18 Correct 291 ms 55288 KB Output is correct
19 Correct 281 ms 79724 KB Output is correct
20 Correct 243 ms 55880 KB Output is correct
21 Correct 2 ms 18776 KB Output is correct
22 Correct 244 ms 47744 KB Output is correct
23 Correct 289 ms 76968 KB Output is correct
24 Correct 223 ms 47952 KB Output is correct
25 Correct 233 ms 48392 KB Output is correct
26 Correct 249 ms 51796 KB Output is correct
27 Correct 230 ms 49652 KB Output is correct
28 Correct 296 ms 63752 KB Output is correct
29 Correct 222 ms 49400 KB Output is correct
30 Correct 2 ms 18780 KB Output is correct
31 Correct 4 ms 19036 KB Output is correct
32 Correct 4 ms 19292 KB Output is correct
33 Correct 4 ms 19192 KB Output is correct
34 Correct 4 ms 19036 KB Output is correct
35 Correct 4 ms 19220 KB Output is correct
36 Correct 6 ms 19128 KB Output is correct
37 Correct 4 ms 19036 KB Output is correct
38 Correct 4 ms 19036 KB Output is correct
39 Correct 4 ms 19036 KB Output is correct
40 Correct 4 ms 19032 KB Output is correct
41 Correct 4 ms 19032 KB Output is correct
42 Correct 4 ms 19292 KB Output is correct
43 Correct 5 ms 19292 KB Output is correct
44 Correct 5 ms 19036 KB Output is correct
45 Correct 2 ms 18776 KB Output is correct
46 Correct 250 ms 54292 KB Output is correct
47 Correct 255 ms 83612 KB Output is correct
48 Correct 233 ms 52956 KB Output is correct
49 Correct 233 ms 54612 KB Output is correct
50 Correct 270 ms 53344 KB Output is correct
51 Correct 252 ms 54676 KB Output is correct
52 Correct 239 ms 53328 KB Output is correct
53 Correct 238 ms 54636 KB Output is correct
54 Correct 264 ms 57684 KB Output is correct
55 Correct 238 ms 54868 KB Output is correct
56 Correct 247 ms 53588 KB Output is correct
57 Correct 242 ms 54780 KB Output is correct
58 Correct 291 ms 71380 KB Output is correct
59 Correct 225 ms 55840 KB Output is correct
60 Correct 2 ms 18776 KB Output is correct
61 Correct 256 ms 56912 KB Output is correct
62 Correct 259 ms 80976 KB Output is correct
63 Correct 270 ms 55636 KB Output is correct
64 Correct 268 ms 57056 KB Output is correct
65 Correct 255 ms 55648 KB Output is correct
66 Correct 271 ms 57172 KB Output is correct
67 Correct 271 ms 55784 KB Output is correct
68 Correct 267 ms 57392 KB Output is correct
69 Correct 289 ms 59728 KB Output is correct
70 Correct 265 ms 57428 KB Output is correct
71 Correct 275 ms 56576 KB Output is correct
72 Correct 267 ms 58088 KB Output is correct
73 Correct 288 ms 71000 KB Output is correct
74 Correct 265 ms 60124 KB Output is correct