oj.uz

Submission #687699

# Submission time Handle Problem Language Result Execution time Memory
687699 2023-01-26T21:21:42 Z QwertyPi Paths (RMI21_paths) C++14
68 / 100
 560 ms 23424 KB 
#include <bits/stdc++.h>
#pragma GCC optimize("unroll-loops")
#pragma GCC optimize("Ofast")
#define int long long
using namespace std;

const int MAXN = 1e5 + 11;
vector<pair<int, int>> G[MAXN];
int w[MAXN], mx_dis[MAXN];
int to[MAXN], a[MAXN], l[MAXN], r[MAXN];
int leaf_cnt = 0;
void dfs(int v, int pa = -1){
    int sons_cnt = 0;
    l[v] = MAXN, r[v] = -1;
    for(auto& [u, we] : G[v]){
        if(u != pa){
            sons_cnt++;
            w[u] = we; dfs(u, v);
            if(mx_dis[u] + w[u] > mx_dis[v]){
                to[v] = to[u];
                mx_dis[v] = mx_dis[u] + w[u];
            }
            l[v] = min(l[v], l[u]), r[v] = max(r[v], r[u]);
        }
    }
    if(sons_cnt == 0){
        to[v] = ++leaf_cnt; l[v] = r[v] = leaf_cnt;
    }
    a[to[v]] += w[v];
}

namespace Treap{

    mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());
    struct node{
        int key, size, sum, prior;
        node *ll, *rr;
        node(int key) : key(key), size(1), sum(key), prior(rng()), ll(nullptr), rr(nullptr) {};
    };

    int size(node* t){
        return t ? t->size : 0;
    }
    int sum(node* t){
        return t ? t->sum : 0;
    }
    void maintain(node*& t){
        if(!t) return;
        t->size = size(t->ll) + 1 + size(t->rr);
        t->sum = sum(t->ll) + t->key + sum(t->rr);
    }
    void _crawl(node* t){
        if(!t) return;
        if(t->ll) _crawl(t->ll);
        cout << t->key << ' ';
        if(t->rr) _crawl(t->rr);
    }
    void crawl(node* t){
        _crawl(t); cout << endl;
    }
    void split_size(node* t, node*& l, node*& r, int l_size){
        if(!t) return void(l = r = nullptr);
        if(size(t->ll) >= l_size) split_size(t->ll, l, t->ll, l_size), r = t;
        else split_size(t->rr, t->rr, r, l_size - size(t->ll) - 1), l = t;
        maintain(l); maintain(r);
    }
    void split_key(node* t, node*& l, node*& r, int key){
        if(!t) return void(l = r = nullptr);
        if(t->key >= key) split_key(t->ll, l, t->ll, key), r = t;
        else split_key(t->rr, t->rr, r, key), l = t; 
        maintain(l); maintain(r);
    }
    void merge(node*& t, node* l, node* r){
        if(!l || !r) t = l ? l : r;
        else if(l->prior > r->prior) merge(l->rr, l->rr, r), t = l;
        else merge(r->ll, l, r->ll), t = r;
        maintain(t);
    }
    node* subtree_min(node* t){
        while(t->ll) t = t->ll;
        return t;
    }
    node *a = nullptr;
    void add(int key){
        node *l, *v, *r;
        v = new node(key);
        split_key(a, l, r, key);
        merge(r, v, r);
        merge(a, l, r);
    }
    void erase(int key){
        node *l, *m, *r;
        split_key(a, l, m, key);
        split_size(m, m, r, 1);
        delete m;
        merge(a, l, r);
    }
    int kth_max_sum(int k){
        node *l, *r;
        split_size(a, l, r, max(0LL, size(a) - k));
        int res = sum(r);
        merge(a, l, r);
        return res;
    }
};

namespace Segtree{
    int t[MAXN << 2], a[MAXN];
    int cmp(int q1, int q2){
        if(q1 == MAXN - 1 || q2 == MAXN - 1) return q1 == MAXN - 1 ? q2 : q1;
        else return a[q1] > a[q2] ? q1 : q2;
    }
    void upd(int i, int va, int v, int l, int r){
        if(l == r) { a[i] = va; t[v] = i; return; }
        int m = (l + r) >> 1;
        if(i <= m) upd(i, va, v * 2 + 1, l, m);
        else upd(i, va, v * 2 + 2, m + 1, r);
        t[v] = cmp(t[v * 2 + 1], t[v * 2 + 2]);
    }
    int qry_max(int ql, int qr, int v, int l, int r){
        if(qr < l || r < ql) return MAXN - 1;
        if(ql <= l && r <= qr) return t[v];
        int m = (l + r) >> 1;
        int q1 = qry_max(ql, qr, v * 2 + 1, l, m);
        int q2 = qry_max(ql, qr, v * 2 + 2, m + 1, r);
        return cmp(q1, q2);
    }
};

int ans[MAXN]; int N, K; 
void dfs2(int v, int pa = -1){
    ans[v] = Treap::kth_max_sum(K);
    for(auto& [u, we] : G[v]){
        if(u != pa){
            using Segtree::a;
            int bl = 1, br = leaf_cnt, sl = l[u], sr = r[u];
            int q1 = Segtree::qry_max(bl, sl - 1, 0, 1, leaf_cnt), q2 = Segtree::qry_max(sr + 1, br, 0, 1, leaf_cnt);
            int qo = Segtree::cmp(q1, q2); Treap::erase(a[qo]); Treap::add(a[qo] + w[u]); Segtree::upd(qo, a[qo] + w[u], 0, 1, leaf_cnt);
            int qn = Segtree::qry_max(sl, sr, 0, 1, leaf_cnt); Treap::erase(a[qn]); Treap::add(a[qn] - w[u]); Segtree::upd(qn, a[qn] - w[u], 0, 1, leaf_cnt);
            dfs2(u, v);
            Treap::erase(a[qo]); Treap::add(a[qo] - w[u]); Segtree::upd(qo, a[qo] - w[u], 0, 1, leaf_cnt);
            Treap::erase(a[qn]); Treap::add(a[qn] + w[u]); Segtree::upd(qn, a[qn] + w[u], 0, 1, leaf_cnt);
        }
    }
}

int32_t main(){
    cin.tie(0); cout.tie(0);
    cin >> N >> K; int sum_w = 0;
    for(int i = 0; i < N - 1; i++){
        int u, v, w; cin >> u >> v >> w;
        G[u].push_back({v, w});
        G[v].push_back({u, w});
        sum_w += w;
    }
    
    if(N == 2){
        cout << sum_w << endl;
        return 0;
    }

    int rt = 1;
    if(G[rt].size() == 1) rt = G[rt][0].first;
    dfs(rt);
    for(int i = 1; i <= leaf_cnt; i++) Treap::add(a[i]);
    for(int i = 1; i <= leaf_cnt; i++) Segtree::upd(i, a[i], 0, 1, leaf_cnt);
    dfs2(rt);
    for(int i = 1; i <= N; i++) cout << ans[i] << '\n';
}

Compilation message

Main.cpp: In function 'void dfs(long long int, long long int)':
Main.cpp:15:15: warning: structured bindings only available with '-std=c++17' or '-std=gnu++17'
   15 |     for(auto& [u, we] : G[v]){
      |               ^
Main.cpp: In function 'void dfs2(long long int, long long int)':
Main.cpp:133:15: warning: structured bindings only available with '-std=c++17' or '-std=gnu++17'
  133 |     for(auto& [u, we] : G[v]){
      |               ^

Subtask #1
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 2644 KB Output is correct
2 Correct 2 ms 2644 KB Output is correct

Subtask #2
11.0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 2644 KB Output is correct
2 Correct 2 ms 2644 KB Output is correct
3 Correct 2 ms 2728 KB Output is correct
4 Correct 2 ms 2644 KB Output is correct
5 Correct 2 ms 2644 KB Output is correct
6 Correct 2 ms 2644 KB Output is correct
7 Correct 2 ms 2644 KB Output is correct

Subtask #3
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 2644 KB Output is correct
2 Correct 2 ms 2644 KB Output is correct
3 Correct 2 ms 2728 KB Output is correct
4 Correct 2 ms 2644 KB Output is correct
5 Correct 2 ms 2644 KB Output is correct
6 Correct 2 ms 2644 KB Output is correct
7 Correct 2 ms 2644 KB Output is correct
8 Correct 5 ms 2772 KB Output is correct
9 Correct 4 ms 2800 KB Output is correct
10 Correct 4 ms 2772 KB Output is correct
11 Correct 5 ms 2772 KB Output is correct
12 Correct 4 ms 2816 KB Output is correct

Subtask #4
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 2644 KB Output is correct
2 Correct 2 ms 2644 KB Output is correct
3 Correct 2 ms 2728 KB Output is correct
4 Correct 2 ms 2644 KB Output is correct
5 Correct 2 ms 2644 KB Output is correct
6 Correct 2 ms 2644 KB Output is correct
7 Correct 2 ms 2644 KB Output is correct
8 Correct 5 ms 2772 KB Output is correct
9 Correct 4 ms 2800 KB Output is correct
10 Correct 4 ms 2772 KB Output is correct
11 Correct 5 ms 2772 KB Output is correct
12 Correct 4 ms 2816 KB Output is correct
13 Correct 8 ms 3008 KB Output is correct
14 Correct 8 ms 3080 KB Output is correct
15 Correct 8 ms 2984 KB Output is correct
16 Correct 11 ms 3028 KB Output is correct
17 Correct 7 ms 2900 KB Output is correct
18 Correct 8 ms 2900 KB Output is correct
19 Correct 8 ms 3000 KB Output is correct

Subtask #5
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 552 ms 18544 KB Output is correct
2 Correct 510 ms 20940 KB Output is correct
3 Correct 416 ms 14412 KB Output is correct
4 Correct 560 ms 18540 KB Output is correct
5 Correct 545 ms 19788 KB Output is correct
6 Correct 536 ms 18740 KB Output is correct

Subtask #6
0 / 32.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 2644 KB Output is correct
2 Correct 2 ms 2644 KB Output is correct
3 Correct 2 ms 2728 KB Output is correct
4 Correct 2 ms 2644 KB Output is correct
5 Correct 2 ms 2644 KB Output is correct
6 Correct 2 ms 2644 KB Output is correct
7 Correct 2 ms 2644 KB Output is correct
8 Correct 5 ms 2772 KB Output is correct
9 Correct 4 ms 2800 KB Output is correct
10 Correct 4 ms 2772 KB Output is correct
11 Correct 5 ms 2772 KB Output is correct
12 Correct 4 ms 2816 KB Output is correct
13 Correct 8 ms 3008 KB Output is correct
14 Correct 8 ms 3080 KB Output is correct
15 Correct 8 ms 2984 KB Output is correct
16 Correct 11 ms 3028 KB Output is correct
17 Correct 7 ms 2900 KB Output is correct
18 Correct 8 ms 2900 KB Output is correct
19 Correct 8 ms 3000 KB Output is correct
20 Correct 552 ms 18544 KB Output is correct
21 Correct 510 ms 20940 KB Output is correct
22 Correct 416 ms 14412 KB Output is correct
23 Correct 560 ms 18540 KB Output is correct
24 Correct 545 ms 19788 KB Output is correct
25 Correct 536 ms 18740 KB Output is correct
26 Correct 555 ms 21016 KB Output is correct
27 Correct 516 ms 22964 KB Output is correct
28 Correct 503 ms 23424 KB Output is correct
29 Correct 422 ms 16716 KB Output is correct
30 Incorrect 551 ms 21048 KB Output isn't correct
31 Halted 0 ms 0 KB -