oj.uz

Submission #1005398

# Submission time Handle Problem Language Result Execution time Memory
1005398 2024-06-22T11:58:19 Z Unforgettablepl Constellation 3 (JOI20_constellation3) C++17
100 / 100
 335 ms 141648 KB 
// #pragma GCC optimize("O3")
#include <bits/stdc++.h>
using namespace std;

#define int long long

struct segtree{
    vector<pair<int,int>> tree;
    segtree():tree(524288){}
    void update(int k,int x){
        k+=262144;
        tree[k] = {x,k-262144};
        while(k/=2){
            tree[k]=max(tree[2*k],tree[2*k+1]);
        }
    }
    int get(int l,int r){
        l+=262144;r+=262144;
        pair<int,int> ans = {0,0};
        while(l<=r){
            if(l&1)ans=max(ans,tree[l++]);
            if(r%2==0)ans=max(ans,tree[r--]);
            l/=2;r/=2;
        }
        return ans.second;
    }
};

pair<int,int> adj[200001];
int tree[200001];
vector<pair<int,int>> chains[200001];
int arr[200001];
int stidx[200001];
int lift[18][200001];
int idx[200001];
int DP[200001];
segtree seg;
int c;

void place(int x,int y,int c){
    int node = idx[x];
    for(int bit=17;bit>=0;bit--){
        if(tree[lift[bit][node]]<y)node = lift[bit][node];
    }
    chains[node].emplace_back(x,c);
}

void build(int x,int l,int r){
    int mid = seg.get(l,r);
    idx[mid] = x;
    tree[x] = arr[mid];
    stidx[x] = mid;
    if(mid!=l){
        adj[x].first = ++c;
        lift[0][c] = x;
        build(c,l,mid-1);
    }
    if(mid!=r){
        adj[x].second = ++c;
        lift[0][c] = x;
        build(c,mid+1,r);
    }
}

void merge(pair<int,map<int,int>> &a,pair<int,map<int,int>> &b){
    if(a.second.size()<b.second.size())swap(a,b);
    int offset = b.first-a.first;
    for(auto[x,y]:b.second){
        a.second[x] = y+offset; 
    }
}

pair<int,map<int,int>> calc(int x){
    pair<int,map<int,int>> curr = {0,{}};
    pair<int,map<int,int>> l = {0,{}},r = {0,{}};
    if(adj[x].first)l=calc(adj[x].first);
    if(adj[x].second)r=calc(adj[x].second);
    l.first+=DP[adj[x].second];
    r.first+=DP[adj[x].first];
    merge(curr,l);
    merge(curr,r);
    DP[x] = DP[adj[x].first]+DP[adj[x].second];
    curr.second[stidx[x]] = DP[x]-curr.first;
    for(auto[a,b]:chains[x]){
        DP[x] = max(DP[x],curr.second[a]+curr.first+b);
    }
    return curr;
}

int32_t main(){
    ios_base::sync_with_stdio(false);
    cin.tie(nullptr);
    int n;
    cin >> n;
    for(int i=1;i<=n;i++){cin>>arr[i];seg.update(i,arr[i]);}
    build(++c,1,n);
    assert(c==n);
    for(int bit=1;bit<18;bit++){
        for(int i=1;i<=n;i++){
            lift[bit][i] = lift[bit-1][lift[bit-1][i]];
        }
    }
    tree[0] = 1e15;
    int m;
    cin >> m;
    int sum = 0;
    for(int i=1;i<=m;i++){
        int x,y,c;cin>>x>>y>>c;
        place(x,y,c);
        sum+=c;
    }
    calc(1);
    cout << sum-DP[1] << '\n';
}

Subtask #1
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 6 ms 49500 KB Output is correct
2 Correct 7 ms 49756 KB Output is correct
3 Correct 6 ms 49756 KB Output is correct
4 Correct 6 ms 49756 KB Output is correct
5 Correct 6 ms 49756 KB Output is correct
6 Correct 5 ms 49756 KB Output is correct
7 Correct 6 ms 49628 KB Output is correct
8 Correct 6 ms 49756 KB Output is correct
9 Correct 6 ms 49704 KB Output is correct
10 Correct 6 ms 49756 KB Output is correct
11 Correct 6 ms 49752 KB Output is correct
12 Correct 6 ms 49752 KB Output is correct
13 Correct 6 ms 49756 KB Output is correct
14 Correct 6 ms 49756 KB Output is correct
15 Correct 5 ms 49756 KB Output is correct
16 Correct 6 ms 49704 KB Output is correct
17 Correct 6 ms 49756 KB Output is correct
18 Correct 5 ms 49756 KB Output is correct
19 Correct 6 ms 49756 KB Output is correct
20 Correct 6 ms 49756 KB Output is correct
21 Correct 5 ms 49756 KB Output is correct
22 Correct 6 ms 49756 KB Output is correct

Subtask #2
21.0 / 21.0

# Verdict Execution time Memory Grader output
1 Correct 6 ms 49500 KB Output is correct
2 Correct 7 ms 49756 KB Output is correct
3 Correct 6 ms 49756 KB Output is correct
4 Correct 6 ms 49756 KB Output is correct
5 Correct 6 ms 49756 KB Output is correct
6 Correct 5 ms 49756 KB Output is correct
7 Correct 6 ms 49628 KB Output is correct
8 Correct 6 ms 49756 KB Output is correct
9 Correct 6 ms 49704 KB Output is correct
10 Correct 6 ms 49756 KB Output is correct
11 Correct 6 ms 49752 KB Output is correct
12 Correct 6 ms 49752 KB Output is correct
13 Correct 6 ms 49756 KB Output is correct
14 Correct 6 ms 49756 KB Output is correct
15 Correct 5 ms 49756 KB Output is correct
16 Correct 6 ms 49704 KB Output is correct
17 Correct 6 ms 49756 KB Output is correct
18 Correct 5 ms 49756 KB Output is correct
19 Correct 6 ms 49756 KB Output is correct
20 Correct 6 ms 49756 KB Output is correct
21 Correct 5 ms 49756 KB Output is correct
22 Correct 6 ms 49756 KB Output is correct
23 Correct 7 ms 49704 KB Output is correct
24 Correct 7 ms 49752 KB Output is correct
25 Correct 10 ms 49912 KB Output is correct
26 Correct 8 ms 49752 KB Output is correct
27 Correct 7 ms 49756 KB Output is correct
28 Correct 8 ms 49756 KB Output is correct
29 Correct 7 ms 49756 KB Output is correct
30 Correct 8 ms 49812 KB Output is correct
31 Correct 7 ms 49752 KB Output is correct
32 Correct 9 ms 50268 KB Output is correct
33 Correct 7 ms 50188 KB Output is correct
34 Correct 7 ms 50012 KB Output is correct
35 Correct 8 ms 50000 KB Output is correct
36 Correct 7 ms 50284 KB Output is correct
37 Correct 7 ms 50268 KB Output is correct
38 Correct 7 ms 50524 KB Output is correct
39 Correct 8 ms 49924 KB Output is correct
40 Correct 7 ms 50316 KB Output is correct
41 Correct 7 ms 49924 KB Output is correct
42 Correct 7 ms 49756 KB Output is correct
43 Correct 8 ms 50280 KB Output is correct
44 Correct 7 ms 49756 KB Output is correct

Subtask #3
65.0 / 65.0

# Verdict Execution time Memory Grader output
1 Correct 6 ms 49500 KB Output is correct
2 Correct 7 ms 49756 KB Output is correct
3 Correct 6 ms 49756 KB Output is correct
4 Correct 6 ms 49756 KB Output is correct
5 Correct 6 ms 49756 KB Output is correct
6 Correct 5 ms 49756 KB Output is correct
7 Correct 6 ms 49628 KB Output is correct
8 Correct 6 ms 49756 KB Output is correct
9 Correct 6 ms 49704 KB Output is correct
10 Correct 6 ms 49756 KB Output is correct
11 Correct 6 ms 49752 KB Output is correct
12 Correct 6 ms 49752 KB Output is correct
13 Correct 6 ms 49756 KB Output is correct
14 Correct 6 ms 49756 KB Output is correct
15 Correct 5 ms 49756 KB Output is correct
16 Correct 6 ms 49704 KB Output is correct
17 Correct 6 ms 49756 KB Output is correct
18 Correct 5 ms 49756 KB Output is correct
19 Correct 6 ms 49756 KB Output is correct
20 Correct 6 ms 49756 KB Output is correct
21 Correct 5 ms 49756 KB Output is correct
22 Correct 6 ms 49756 KB Output is correct
23 Correct 7 ms 49704 KB Output is correct
24 Correct 7 ms 49752 KB Output is correct
25 Correct 10 ms 49912 KB Output is correct
26 Correct 8 ms 49752 KB Output is correct
27 Correct 7 ms 49756 KB Output is correct
28 Correct 8 ms 49756 KB Output is correct
29 Correct 7 ms 49756 KB Output is correct
30 Correct 8 ms 49812 KB Output is correct
31 Correct 7 ms 49752 KB Output is correct
32 Correct 9 ms 50268 KB Output is correct
33 Correct 7 ms 50188 KB Output is correct
34 Correct 7 ms 50012 KB Output is correct
35 Correct 8 ms 50000 KB Output is correct
36 Correct 7 ms 50284 KB Output is correct
37 Correct 7 ms 50268 KB Output is correct
38 Correct 7 ms 50524 KB Output is correct
39 Correct 8 ms 49924 KB Output is correct
40 Correct 7 ms 50316 KB Output is correct
41 Correct 7 ms 49924 KB Output is correct
42 Correct 7 ms 49756 KB Output is correct
43 Correct 8 ms 50280 KB Output is correct
44 Correct 7 ms 49756 KB Output is correct
45 Correct 300 ms 74740 KB Output is correct
46 Correct 283 ms 73296 KB Output is correct
47 Correct 284 ms 73812 KB Output is correct
48 Correct 265 ms 73268 KB Output is correct
49 Correct 268 ms 71420 KB Output is correct
50 Correct 289 ms 75244 KB Output is correct
51 Correct 249 ms 72788 KB Output is correct
52 Correct 277 ms 73300 KB Output is correct
53 Correct 267 ms 73316 KB Output is correct
54 Correct 300 ms 117072 KB Output is correct
55 Correct 335 ms 104020 KB Output is correct
56 Correct 278 ms 96792 KB Output is correct
57 Correct 282 ms 91612 KB Output is correct
58 Correct 258 ms 102228 KB Output is correct
59 Correct 254 ms 101968 KB Output is correct
60 Correct 210 ms 141648 KB Output is correct
61 Correct 256 ms 73288 KB Output is correct
62 Correct 308 ms 123088 KB Output is correct
63 Correct 238 ms 70088 KB Output is correct
64 Correct 239 ms 73588 KB Output is correct
65 Correct 325 ms 124244 KB Output is correct
66 Correct 231 ms 70372 KB Output is correct