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Submission #380934

# Submission time Handle Problem Language Result Execution time Memory
380934 2021-03-23T18:20:30 Z dolphingarlic Dynamic Diameter (CEOI19_diameter) C++14
49 / 100
 5000 ms 167584 KB 
#include <bits/stdc++.h>
typedef long long ll;
using namespace std;

struct Segtree {
    int sz;
    vector<ll> vals, lazy;

    void push_lazy(int node, int l, int r) {
        vals[node] += lazy[node];
        if (l != r) {
            lazy[node * 2] += lazy[node];
            lazy[node * 2 + 1] += lazy[node];
        }
        lazy[node] = 0;
    }

    void update(int a, int b, ll val, int node, int l, int r) {
        push_lazy(node, l, r);
        if (l > b || r < a) return;
        if (l >= a && r <= b) {
            lazy[node] = val;
            push_lazy(node, l, r);
        } else {
            int mid = (l + r) / 2;
            update(a, b, val, node * 2, l, mid);
            update(a, b, val, node * 2 + 1, mid + 1, r);
            vals[node] = max(vals[node * 2], vals[node * 2 + 1]);
        }
    }

    ll query(int a, int b, int node, int l, int r) {
        push_lazy(node, l, r);
        if (l > b || r < a) return 0;
        if (l >= a && r <= b) return vals[node];
        int mid = (l + r) / 2;
        return max(query(a, b, node * 2, l, mid),
                   query(a, b, node * 2 + 1, mid + 1, r));
    }

    void build(vector<ll> &dists, int node, int l, int r) {
        if (l == r)
            vals[node] = dists[l];
        else {
            int mid = (l + r) / 2;
            build(dists, node * 2, l, mid);
            build(dists, node * 2 + 1, mid + 1, r);
            vals[node] = max(vals[node * 2], vals[node * 2 + 1]);
        }
    }

    void init(vector<ll> &dists) {
        sz = dists.size();
        vals.resize(4 * sz), lazy.resize(4 * sz);
        build(dists, 1, 1, sz);
    }
} segtree[100001];

ll e_weight[100001];
pair<int, int> e_nodes[100001];
vector<pair<int, int>> graph[100001];
bool processed[100001];
int subtree[100001], c_par[100001], c_level[100001];
int tin[18][100001], tout[18][100001], timer;
vector<int> c_timers[100001];
vector<ll> dists;
multiset<ll> ms_all, ms_centroid[100001];

void get_subtree_sizes(int node, int parent = 0) {
    subtree[node] = 1;
    for (pair<int, int> i : graph[node])
        if (i.first != parent && !processed[i.first]) {
            get_subtree_sizes(i.first, node);
            subtree[node] += subtree[i.first];
        }
}

int get_centroid(int node, int parent, int tree_size) {
    for (pair<int, int> i : graph[node])
        if (i.first != parent && !processed[i.first] &&
            subtree[i.first] > tree_size)
            return get_centroid(i.first, node, tree_size);
    return node;
}

ll get_dists(int node, int parent, int level, ll curr_dist) {
    tin[level][node] = ++timer;

    dists.push_back(curr_dist);
    ll ret = curr_dist;
    for (pair<int, int> i : graph[node])
        if (i.first != parent && !processed[i.first])
            ret = max(ret, get_dists(i.first, node, level,
                                     curr_dist + e_weight[i.second]));

    tout[level][node] = timer;

    return ret;
}

void centroid_decomp(int node = 1, int prv_centroid = 0, int level = 0) {
    get_subtree_sizes(node);
    int centroid = get_centroid(node, 0, subtree[node] / 2);
    c_par[centroid] = prv_centroid;
    c_level[centroid] = level;

    dists.clear();
    timer = 0;
    ms_centroid[centroid].insert(0), ms_centroid[centroid].insert(0);
    dists.push_back(0);
    for (pair<int, int> i : graph[centroid])
        if (!processed[i.first]) {
            ms_centroid[centroid].insert(
                get_dists(i.first, centroid, level, e_weight[i.second]));
            c_timers[centroid].push_back(timer);
        }
    tin[level][centroid] = 0, tout[level][centroid] = timer + 1;
    segtree[centroid].init(dists);
    ms_all.insert(*ms_centroid[centroid].rbegin() +
                  *next(ms_centroid[centroid].rbegin()));

    processed[centroid] = true;
    for (pair<int, int> i : graph[centroid])
        if (!processed[i.first]) centroid_decomp(i.first, centroid, level + 1);
}

int main() {
    cin.tie(0)->sync_with_stdio(0);
    int n, q;
    ll w;
    cin >> n >> q >> w;
    for (int i = 0; i < n - 1; i++) {
        int u, v;
        cin >> u >> v >> e_weight[i];
        graph[u].push_back({v, i});
        graph[v].push_back({u, i});
        e_nodes[i] = {u, v};
    }
    centroid_decomp();

    ll last = 0;
    while (q--) {
        int d;
        ll e;
        cin >> d >> e;
        d = (d + last) % (n - 1), e = (e + last) % w;

        ll delta = e - e_weight[d];
        int u = e_nodes[d].first, v = e_nodes[d].second;
        int node = (c_level[u] < c_level[v] ? u : v);
        while (node) {
            auto lb = lower_bound(
                c_timers[node].begin(), c_timers[node].end(),
                min(tout[c_level[node]][u], tout[c_level[node]][v]));

            ms_all.erase(ms_all.find(*ms_centroid[node].rbegin() +
                                     *next(ms_centroid[node].rbegin())));
            ms_centroid[node].erase(ms_centroid[node].find(segtree[node].query(
                *prev(lb) + 1, *lb, 1, 1, segtree[node].sz)));
            segtree[node].update(
                max(tin[c_level[node]][u], tin[c_level[node]][v]),
                min(tout[c_level[node]][u], tout[c_level[node]][v]), delta, 1,
                1, segtree[node].sz);
            ms_centroid[node].insert(segtree[node].query(*prev(lb) + 1, *lb, 1,
                                                         1, segtree[node].sz));
            ms_all.insert(*ms_centroid[node].rbegin() +
                          *next(ms_centroid[node].rbegin()));

            node = c_par[node];
        }
        e_weight[d] = e;

        last = *ms_all.rbegin();
        cout << last << '\n';
    }
    return 0;
}

Subtask #1
11.0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 10 ms 15340 KB Output is correct
2 Correct 10 ms 15340 KB Output is correct
3 Correct 10 ms 15340 KB Output is correct
4 Correct 10 ms 15340 KB Output is correct
5 Correct 10 ms 15340 KB Output is correct
6 Correct 10 ms 15340 KB Output is correct
7 Correct 10 ms 15212 KB Output is correct
8 Correct 10 ms 15340 KB Output is correct
9 Correct 10 ms 15340 KB Output is correct
10 Correct 10 ms 15340 KB Output is correct
11 Correct 10 ms 15340 KB Output is correct
12 Correct 10 ms 15276 KB Output is correct
13 Correct 10 ms 15340 KB Output is correct
14 Correct 10 ms 15340 KB Output is correct
15 Correct 10 ms 15360 KB Output is correct
16 Correct 10 ms 15340 KB Output is correct
17 Correct 11 ms 15340 KB Output is correct
18 Correct 11 ms 15340 KB Output is correct

Subtask #2
13.0 / 13.0

# Verdict Execution time Memory Grader output
1 Correct 10 ms 15340 KB Output is correct
2 Correct 10 ms 15340 KB Output is correct
3 Correct 10 ms 15340 KB Output is correct
4 Correct 10 ms 15340 KB Output is correct
5 Correct 10 ms 15340 KB Output is correct
6 Correct 10 ms 15340 KB Output is correct
7 Correct 10 ms 15212 KB Output is correct
8 Correct 10 ms 15340 KB Output is correct
9 Correct 10 ms 15340 KB Output is correct
10 Correct 10 ms 15340 KB Output is correct
11 Correct 10 ms 15340 KB Output is correct
12 Correct 10 ms 15276 KB Output is correct
13 Correct 10 ms 15340 KB Output is correct
14 Correct 10 ms 15340 KB Output is correct
15 Correct 10 ms 15360 KB Output is correct
16 Correct 10 ms 15340 KB Output is correct
17 Correct 11 ms 15340 KB Output is correct
18 Correct 11 ms 15340 KB Output is correct
19 Correct 35 ms 16108 KB Output is correct
20 Correct 39 ms 16236 KB Output is correct
21 Correct 42 ms 16364 KB Output is correct
22 Correct 46 ms 16492 KB Output is correct
23 Correct 57 ms 19692 KB Output is correct
24 Correct 74 ms 20388 KB Output is correct
25 Correct 82 ms 20716 KB Output is correct
26 Correct 86 ms 21504 KB Output is correct

Subtask #3
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 11 ms 15232 KB Output is correct
2 Correct 10 ms 15212 KB Output is correct
3 Correct 12 ms 15340 KB Output is correct
4 Correct 24 ms 15468 KB Output is correct
5 Correct 80 ms 16236 KB Output is correct
6 Correct 10 ms 15232 KB Output is correct
7 Correct 10 ms 15468 KB Output is correct
8 Correct 11 ms 15468 KB Output is correct
9 Correct 13 ms 15468 KB Output is correct
10 Correct 34 ms 15724 KB Output is correct
11 Correct 126 ms 16620 KB Output is correct
12 Correct 20 ms 17644 KB Output is correct
13 Correct 18 ms 17516 KB Output is correct
14 Correct 19 ms 17516 KB Output is correct
15 Correct 53 ms 17772 KB Output is correct
16 Correct 193 ms 18540 KB Output is correct
17 Correct 168 ms 59744 KB Output is correct
18 Correct 167 ms 59744 KB Output is correct
19 Correct 170 ms 59744 KB Output is correct
20 Correct 236 ms 59872 KB Output is correct
21 Correct 602 ms 60256 KB Output is correct

Subtask #4
18.0 / 18.0

# Verdict Execution time Memory Grader output
1 Correct 16 ms 16236 KB Output is correct
2 Correct 52 ms 16364 KB Output is correct
3 Correct 220 ms 17004 KB Output is correct
4 Correct 408 ms 17388 KB Output is correct
5 Correct 45 ms 26860 KB Output is correct
6 Correct 123 ms 26860 KB Output is correct
7 Correct 484 ms 27372 KB Output is correct
8 Correct 920 ms 28012 KB Output is correct
9 Correct 185 ms 79980 KB Output is correct
10 Correct 326 ms 80108 KB Output is correct
11 Correct 981 ms 80364 KB Output is correct
12 Correct 1826 ms 80604 KB Output is correct
13 Correct 369 ms 151008 KB Output is correct
14 Correct 562 ms 151008 KB Output is correct
15 Correct 1377 ms 151392 KB Output is correct
16 Correct 2423 ms 151648 KB Output is correct
17 Correct 4487 ms 151836 KB Output is correct

Subtask #5
0 / 24.0

# Verdict Execution time Memory Grader output
1 Correct 3588 ms 128096 KB Output is correct
2 Correct 3699 ms 131020 KB Output is correct
3 Correct 3548 ms 129564 KB Output is correct
4 Correct 3712 ms 131436 KB Output is correct
5 Correct 3614 ms 125708 KB Output is correct
6 Correct 3433 ms 102776 KB Output is correct
7 Correct 4804 ms 155008 KB Output is correct
8 Correct 4808 ms 155080 KB Output is correct
9 Correct 4730 ms 155404 KB Output is correct
10 Correct 4769 ms 154812 KB Output is correct
11 Correct 4773 ms 149120 KB Output is correct
12 Correct 4531 ms 117180 KB Output is correct
13 Correct 4981 ms 167584 KB Output is correct
14 Execution timed out 5031 ms 167492 KB Time limit exceeded
15 Halted 0 ms 0 KB -

Subtask #6
0 / 27.0

# Verdict Execution time Memory Grader output
1 Correct 10 ms 15340 KB Output is correct
2 Correct 10 ms 15340 KB Output is correct
3 Correct 10 ms 15340 KB Output is correct
4 Correct 10 ms 15340 KB Output is correct
5 Correct 10 ms 15340 KB Output is correct
6 Correct 10 ms 15340 KB Output is correct
7 Correct 10 ms 15212 KB Output is correct
8 Correct 10 ms 15340 KB Output is correct
9 Correct 10 ms 15340 KB Output is correct
10 Correct 10 ms 15340 KB Output is correct
11 Correct 10 ms 15340 KB Output is correct
12 Correct 10 ms 15276 KB Output is correct
13 Correct 10 ms 15340 KB Output is correct
14 Correct 10 ms 15340 KB Output is correct
15 Correct 10 ms 15360 KB Output is correct
16 Correct 10 ms 15340 KB Output is correct
17 Correct 11 ms 15340 KB Output is correct
18 Correct 11 ms 15340 KB Output is correct
19 Correct 35 ms 16108 KB Output is correct
20 Correct 39 ms 16236 KB Output is correct
21 Correct 42 ms 16364 KB Output is correct
22 Correct 46 ms 16492 KB Output is correct
23 Correct 57 ms 19692 KB Output is correct
24 Correct 74 ms 20388 KB Output is correct
25 Correct 82 ms 20716 KB Output is correct
26 Correct 86 ms 21504 KB Output is correct
27 Correct 11 ms 15232 KB Output is correct
28 Correct 10 ms 15212 KB Output is correct
29 Correct 12 ms 15340 KB Output is correct
30 Correct 24 ms 15468 KB Output is correct
31 Correct 80 ms 16236 KB Output is correct
32 Correct 10 ms 15232 KB Output is correct
33 Correct 10 ms 15468 KB Output is correct
34 Correct 11 ms 15468 KB Output is correct
35 Correct 13 ms 15468 KB Output is correct
36 Correct 34 ms 15724 KB Output is correct
37 Correct 126 ms 16620 KB Output is correct
38 Correct 20 ms 17644 KB Output is correct
39 Correct 18 ms 17516 KB Output is correct
40 Correct 19 ms 17516 KB Output is correct
41 Correct 53 ms 17772 KB Output is correct
42 Correct 193 ms 18540 KB Output is correct
43 Correct 168 ms 59744 KB Output is correct
44 Correct 167 ms 59744 KB Output is correct
45 Correct 170 ms 59744 KB Output is correct
46 Correct 236 ms 59872 KB Output is correct
47 Correct 602 ms 60256 KB Output is correct
48 Correct 16 ms 16236 KB Output is correct
49 Correct 52 ms 16364 KB Output is correct
50 Correct 220 ms 17004 KB Output is correct
51 Correct 408 ms 17388 KB Output is correct
52 Correct 45 ms 26860 KB Output is correct
53 Correct 123 ms 26860 KB Output is correct
54 Correct 484 ms 27372 KB Output is correct
55 Correct 920 ms 28012 KB Output is correct
56 Correct 185 ms 79980 KB Output is correct
57 Correct 326 ms 80108 KB Output is correct
58 Correct 981 ms 80364 KB Output is correct
59 Correct 1826 ms 80604 KB Output is correct
60 Correct 369 ms 151008 KB Output is correct
61 Correct 562 ms 151008 KB Output is correct
62 Correct 1377 ms 151392 KB Output is correct
63 Correct 2423 ms 151648 KB Output is correct
64 Correct 4487 ms 151836 KB Output is correct
65 Correct 3588 ms 128096 KB Output is correct
66 Correct 3699 ms 131020 KB Output is correct
67 Correct 3548 ms 129564 KB Output is correct
68 Correct 3712 ms 131436 KB Output is correct
69 Correct 3614 ms 125708 KB Output is correct
70 Correct 3433 ms 102776 KB Output is correct
71 Correct 4804 ms 155008 KB Output is correct
72 Correct 4808 ms 155080 KB Output is correct
73 Correct 4730 ms 155404 KB Output is correct
74 Correct 4769 ms 154812 KB Output is correct
75 Correct 4773 ms 149120 KB Output is correct
76 Correct 4531 ms 117180 KB Output is correct
77 Correct 4981 ms 167584 KB Output is correct
78 Execution timed out 5031 ms 167492 KB Time limit exceeded
79 Halted 0 ms 0 KB -