oj.uz

Submission #712212

# Submission time Handle Problem Language Result Execution time Memory
712212 2023-03-18T11:43:01 Z Jarif_Rahman Constellation 3 (JOI20_constellation3) C++17
100 / 100
 818 ms 62080 KB 
#include <bits/stdc++.h>
#define pb push_back
#define f first
#define sc second
using namespace std;
typedef long long int ll;
typedef string str;

struct BIT{
    int n;
    vector<ll> sm;
    BIT(int _n){
        n = _n;
        sm.resize(n);
    }
    void add(int in, ll x){
        in++;
        while(in <= n) sm[in-1]+=x, in+=in&-in;
    }
    void add(int l, int r, ll x){
        add(l, x);
        if(r != n-1) add(r+1, -x);
    }
    ll get(int in){
        in++;
        ll s = 0;
        while(in >= 1) s+=sm[in-1], in-=in&-in;
        return s;
    }
};

void preprocess(vector<int>& h, vector<tuple<int, int, ll>>& stars, vector<vector<int>>& tree,
    vector<vector<pair<int, ll>>>& paths){
    int n = h.size(), m = stars.size();
    vector<int> o(n);
    for(int i = 0; i < n; i++) o[i] = i;

    sort(o.begin(), o.end(), [&](int a, int b){
        return h[a] > h[b];
    });
    sort(stars.begin(), stars.end(), [](tuple<int, int, ll> a, tuple<int, int, ll> b){
        return get<1>(a) < get<1>(b);
    });

    tree.resize(n+1);
    paths.resize(n+1);
    set<tuple<int, int, int>> ranges;
    set<pair<int, ll>> points;
    ranges.insert({0, 0, n-1});

    for(int _i = 0, i = o[_i]; _i < n; _i++, i = o[_i]){
        while(!stars.empty() && get<1>(stars.back()) > h[i]){
            auto [x, y, c] = stars.back();
            stars.pop_back();
            points.insert({x, c});
        }
        auto it = prev(ranges.upper_bound(make_tuple(i, 1000000000, 1000000000)));
        auto [l, p, r] = *it;
        ranges.erase(it);
        
        tree[p].pb(i+1);

        while(1){
            auto it = points.lower_bound(make_pair(l, -1LL));
            if(it == points.end() || it->f > r) break;
            paths[p].pb({it->f+1, it->sc});
            points.erase(it);
        }

        if(l < i){
            int nd = tree.size();
            tree.pb({}), paths.pb({});
            tree[p].pb(nd);
            ranges.insert({l, nd, i-1});
        }
        if(i < r){
            int nd = tree.size();
            tree.pb({}), paths.pb({});
            tree[p].pb(nd);
            ranges.insert({i+1, nd, r});
        }
    }
}

int N, M, n;
vector<vector<int>> tree;
vector<vector<pair<int, ll>>> paths;
vector<int> pos, sz;
vector<ll> dp;
BIT bit(0);
ll sum = 0;

int intime = 0;
void pre_dfs(int nd){
    pos[nd] = intime++;
    for(int x: tree[nd]) pre_dfs(x), sz[nd]+=sz[x];
}

void dfs(int nd){
    ll sm = 0;
    for(int x: tree[nd]) dfs(x), sm+=dp[x], dp[nd]+=dp[x];
    for(int x: tree[nd]) bit.add(pos[x], pos[x]+sz[x]-1, sm-dp[x]);
    for(auto [x, c]: paths[nd]) dp[nd] = max(dp[nd], c+bit.get(pos[x]));
}

int main(){
    ios_base::sync_with_stdio(0);
    cin.tie(0);

    cin >> N;
    vector<int> h(N);
    for(int &x: h) cin >> x;
    cin >> M;
    vector<tuple<int, int, ll>> stars(M);
    for(auto &[x, y, c]: stars) cin >> x >> y >> c, x--, sum+=c;

    preprocess(h, stars, tree, paths);

    n = tree.size();
    pos.resize(n);
    sz.assign(n, 1);
    dp.assign(n, 0);
    bit = BIT(n);

    pre_dfs(0);
    dfs(0);
    cout << sum-dp[0] << "\n";
}

Compilation message

constellation3.cpp: In function 'void preprocess(std::vector<int>&, std::vector<std::tuple<int, int, long long int> >&, std::vector<std::vector<int> >&, std::vector<std::vector<std::pair<int, long long int> > >&)':
constellation3.cpp:34:23: warning: unused variable 'm' [-Wunused-variable]
   34 |     int n = h.size(), m = stars.size();
      |                       ^

Subtask #1
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 340 KB Output is correct
2 Correct 1 ms 324 KB Output is correct
3 Correct 1 ms 344 KB Output is correct
4 Correct 1 ms 344 KB Output is correct
5 Correct 1 ms 316 KB Output is correct
6 Correct 1 ms 340 KB Output is correct
7 Correct 1 ms 340 KB Output is correct
8 Correct 2 ms 340 KB Output is correct
9 Correct 1 ms 360 KB Output is correct
10 Correct 1 ms 320 KB Output is correct
11 Correct 1 ms 320 KB Output is correct
12 Correct 1 ms 340 KB Output is correct
13 Correct 1 ms 340 KB Output is correct
14 Correct 1 ms 340 KB Output is correct
15 Correct 1 ms 340 KB Output is correct
16 Correct 1 ms 340 KB Output is correct
17 Correct 1 ms 340 KB Output is correct
18 Correct 1 ms 340 KB Output is correct
19 Correct 1 ms 340 KB Output is correct
20 Correct 1 ms 324 KB Output is correct
21 Correct 1 ms 348 KB Output is correct
22 Correct 1 ms 320 KB Output is correct

Subtask #2
21.0 / 21.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 340 KB Output is correct
2 Correct 1 ms 324 KB Output is correct
3 Correct 1 ms 344 KB Output is correct
4 Correct 1 ms 344 KB Output is correct
5 Correct 1 ms 316 KB Output is correct
6 Correct 1 ms 340 KB Output is correct
7 Correct 1 ms 340 KB Output is correct
8 Correct 2 ms 340 KB Output is correct
9 Correct 1 ms 360 KB Output is correct
10 Correct 1 ms 320 KB Output is correct
11 Correct 1 ms 320 KB Output is correct
12 Correct 1 ms 340 KB Output is correct
13 Correct 1 ms 340 KB Output is correct
14 Correct 1 ms 340 KB Output is correct
15 Correct 1 ms 340 KB Output is correct
16 Correct 1 ms 340 KB Output is correct
17 Correct 1 ms 340 KB Output is correct
18 Correct 1 ms 340 KB Output is correct
19 Correct 1 ms 340 KB Output is correct
20 Correct 1 ms 324 KB Output is correct
21 Correct 1 ms 348 KB Output is correct
22 Correct 1 ms 320 KB Output is correct
23 Correct 4 ms 752 KB Output is correct
24 Correct 4 ms 844 KB Output is correct
25 Correct 5 ms 724 KB Output is correct
26 Correct 4 ms 724 KB Output is correct
27 Correct 3 ms 724 KB Output is correct
28 Correct 4 ms 724 KB Output is correct
29 Correct 4 ms 724 KB Output is correct
30 Correct 3 ms 852 KB Output is correct
31 Correct 3 ms 724 KB Output is correct
32 Correct 3 ms 852 KB Output is correct
33 Correct 3 ms 848 KB Output is correct
34 Correct 3 ms 724 KB Output is correct
35 Correct 4 ms 724 KB Output is correct
36 Correct 4 ms 724 KB Output is correct
37 Correct 4 ms 724 KB Output is correct
38 Correct 3 ms 852 KB Output is correct
39 Correct 3 ms 724 KB Output is correct
40 Correct 2 ms 880 KB Output is correct
41 Correct 3 ms 724 KB Output is correct
42 Correct 3 ms 724 KB Output is correct
43 Correct 3 ms 832 KB Output is correct
44 Correct 3 ms 748 KB Output is correct

Subtask #3
65.0 / 65.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 340 KB Output is correct
2 Correct 1 ms 324 KB Output is correct
3 Correct 1 ms 344 KB Output is correct
4 Correct 1 ms 344 KB Output is correct
5 Correct 1 ms 316 KB Output is correct
6 Correct 1 ms 340 KB Output is correct
7 Correct 1 ms 340 KB Output is correct
8 Correct 2 ms 340 KB Output is correct
9 Correct 1 ms 360 KB Output is correct
10 Correct 1 ms 320 KB Output is correct
11 Correct 1 ms 320 KB Output is correct
12 Correct 1 ms 340 KB Output is correct
13 Correct 1 ms 340 KB Output is correct
14 Correct 1 ms 340 KB Output is correct
15 Correct 1 ms 340 KB Output is correct
16 Correct 1 ms 340 KB Output is correct
17 Correct 1 ms 340 KB Output is correct
18 Correct 1 ms 340 KB Output is correct
19 Correct 1 ms 340 KB Output is correct
20 Correct 1 ms 324 KB Output is correct
21 Correct 1 ms 348 KB Output is correct
22 Correct 1 ms 320 KB Output is correct
23 Correct 4 ms 752 KB Output is correct
24 Correct 4 ms 844 KB Output is correct
25 Correct 5 ms 724 KB Output is correct
26 Correct 4 ms 724 KB Output is correct
27 Correct 3 ms 724 KB Output is correct
28 Correct 4 ms 724 KB Output is correct
29 Correct 4 ms 724 KB Output is correct
30 Correct 3 ms 852 KB Output is correct
31 Correct 3 ms 724 KB Output is correct
32 Correct 3 ms 852 KB Output is correct
33 Correct 3 ms 848 KB Output is correct
34 Correct 3 ms 724 KB Output is correct
35 Correct 4 ms 724 KB Output is correct
36 Correct 4 ms 724 KB Output is correct
37 Correct 4 ms 724 KB Output is correct
38 Correct 3 ms 852 KB Output is correct
39 Correct 3 ms 724 KB Output is correct
40 Correct 2 ms 880 KB Output is correct
41 Correct 3 ms 724 KB Output is correct
42 Correct 3 ms 724 KB Output is correct
43 Correct 3 ms 832 KB Output is correct
44 Correct 3 ms 748 KB Output is correct
45 Correct 725 ms 47996 KB Output is correct
46 Correct 742 ms 47488 KB Output is correct
47 Correct 701 ms 47056 KB Output is correct
48 Correct 661 ms 47680 KB Output is correct
49 Correct 751 ms 46684 KB Output is correct
50 Correct 784 ms 46452 KB Output is correct
51 Correct 818 ms 46840 KB Output is correct
52 Correct 766 ms 47596 KB Output is correct
53 Correct 748 ms 47416 KB Output is correct
54 Correct 258 ms 56740 KB Output is correct
55 Correct 269 ms 52932 KB Output is correct
56 Correct 252 ms 50924 KB Output is correct
57 Correct 240 ms 49488 KB Output is correct
58 Correct 245 ms 46020 KB Output is correct
59 Correct 264 ms 45808 KB Output is correct
60 Correct 204 ms 62080 KB Output is correct
61 Correct 391 ms 46164 KB Output is correct
62 Correct 270 ms 56956 KB Output is correct
63 Correct 497 ms 45408 KB Output is correct
64 Correct 408 ms 44620 KB Output is correct
65 Correct 263 ms 57460 KB Output is correct
66 Correct 347 ms 44932 KB Output is correct