oj.uz

Submission #673962

# Submission time Handle Problem Language Result Execution time Memory
673962 2022-12-22T13:15:07 Z jeroenodb Constellation 3 (JOI20_constellation3) C++17
100 / 100
 200 ms 61984 KB 
#include "bits/stdc++.h"
using namespace std;
#define all(x) begin(x),end(x)
template<typename A, typename B> ostream& operator<<(ostream &os, const pair<A, B> &p) { return os << '(' << p.first << ", " << p.second << ')'; }
template<typename T_container, typename T = typename enable_if<!is_same<T_container, string>::value, typename T_container::value_type>::type> ostream& operator<<(ostream &os, const T_container &v) { string sep; for (const T &x : v) os << sep << x, sep = " "; return os; }
#define debug(a) cerr << "(" << #a << ": " << a << ")\n";
typedef long long ll;
typedef vector<int> vi;
typedef vector<vi> vvi;
typedef pair<int,int> pi;
const int mxN = 1e5+1, oo = 1e9;
struct el {
    int y,c;
    ll mydp;
    bool operator<(const el& o ) const {
        return y>o.y;
    }
};
struct DS {
    ll lazy=0, mn = 0;

    // mn is min dp value inside this DS.
    // sum is the sum of the currently "bad" stars.
    priority_queue<el> pq;
    void addStart(int y, int c, ll mydp=0) {
        lazy+=c;
        pq.push({y,c,mydp+mn-lazy});
        mn+=c;
    }
    void add(int y, int c, ll mydp=0) {
        pq.push({y,c,mydp-lazy});
    }
    void clean(int h) {
        // everything below h is safe.
        while(!pq.empty() and pq.top().y<=h) {
            mn = min(mn,lazy+pq.top().mydp);
            pq.pop();
        }
    }
    int size() {
        return pq.size();
    }

};
void merge(DS& a, DS& b) {
    if(a.size()<b.size()) swap(a,b);
    a.lazy+=b.mn;
    auto oldmn = a.mn;
    a.mn+=b.mn;
    
    while(b.size()) {
        auto e = b.pq.top();
        e.mydp+=b.lazy+oldmn;
        a.add(e.y,e.c,e.mydp);
        b.pq.pop();
    }
}
int main() {
    ios_base::sync_with_stdio(false);
    cin.tie(NULL);
    int n; cin >> n;
    vi a(n);
    for(auto& i : a) cin >> i;
    #ifdef DEBUG
    vector<vi> adj(n);
    #else
    vector<basic_string<int>> adj(n);
    #endif
    int root=-1;
    {
    vi l(n);
    for(int i=0;i<n;++i) {
        l[i] = i-1;
        while(l[i]>=0 and a[l[i]]<a[i]) {
            l[i] = l[l[i]];
        }
    }
    vi r(n);
    for(int i=n-1;i>=0;--i) {
        r[i] = i+1;
        while(r[i]<n and a[r[i]]<=a[i]) {
            r[i]=r[r[i]];
        }
    }
    
    for(int i=0;i<n;++i) {
        if(l[i]<0 and r[i]>=n) root=i;
        else if(r[i]<n and (l[i]<0 or a[l[i]]>a[r[i]])) adj[r[i]].push_back(i);
        else adj[l[i]].push_back(i);
    }
    }
    vector<vector<pi>> stars(n);
    int m; cin >> m;
    while(m--) {
        int x,y,c; cin >> x >> y >> c;
        --x;
        stars[x].push_back({y,c});
    }
    vector<DS> ds(n);
    auto dfs = [&](auto&& self, int at) -> void {
        for(auto [y,c] : stars[at]) {
            ds[at].addStart(y,c);
        }
        for(int to : adj[at]) {
            self(self,to);
            ds[to].clean(a[at]);
            merge(ds[at],ds[to]);
        }
    };
    dfs(dfs,root);
    auto& dsr = ds[root];
    dsr.clean(1e9);
    ll ans=dsr.mn;
    cout << ans << '\n';
}

Subtask #1
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 340 KB Output is correct
2 Correct 0 ms 340 KB Output is correct
3 Correct 1 ms 340 KB Output is correct
4 Correct 1 ms 320 KB Output is correct
5 Correct 1 ms 340 KB Output is correct
6 Correct 1 ms 340 KB Output is correct
7 Correct 1 ms 340 KB Output is correct
8 Correct 1 ms 340 KB Output is correct
9 Correct 1 ms 324 KB Output is correct
10 Correct 1 ms 340 KB Output is correct
11 Correct 1 ms 340 KB Output is correct
12 Correct 1 ms 340 KB Output is correct
13 Correct 1 ms 324 KB Output is correct
14 Correct 1 ms 340 KB Output is correct
15 Correct 1 ms 324 KB Output is correct
16 Correct 1 ms 320 KB Output is correct
17 Correct 1 ms 340 KB Output is correct
18 Correct 1 ms 324 KB Output is correct
19 Correct 1 ms 340 KB Output is correct
20 Correct 0 ms 340 KB Output is correct
21 Correct 1 ms 340 KB Output is correct
22 Correct 1 ms 340 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 0 ms 340 KB Output is correct
3 Correct 1 ms 340 KB Output is correct
4 Correct 1 ms 320 KB Output is correct
5 Correct 1 ms 340 KB Output is correct
6 Correct 1 ms 340 KB Output is correct
7 Correct 1 ms 340 KB Output is correct
8 Correct 1 ms 340 KB Output is correct
9 Correct 1 ms 324 KB Output is correct
10 Correct 1 ms 340 KB Output is correct
11 Correct 1 ms 340 KB Output is correct
12 Correct 1 ms 340 KB Output is correct
13 Correct 1 ms 324 KB Output is correct
14 Correct 1 ms 340 KB Output is correct
15 Correct 1 ms 324 KB Output is correct
16 Correct 1 ms 320 KB Output is correct
17 Correct 1 ms 340 KB Output is correct
18 Correct 1 ms 324 KB Output is correct
19 Correct 1 ms 340 KB Output is correct
20 Correct 0 ms 340 KB Output is correct
21 Correct 1 ms 340 KB Output is correct
22 Correct 1 ms 340 KB Output is correct
23 Correct 1 ms 596 KB Output is correct
24 Correct 2 ms 636 KB Output is correct
25 Correct 2 ms 668 KB Output is correct
26 Correct 2 ms 596 KB Output is correct
27 Correct 2 ms 596 KB Output is correct
28 Correct 2 ms 588 KB Output is correct
29 Correct 3 ms 588 KB Output is correct
30 Correct 2 ms 596 KB Output is correct
31 Correct 2 ms 636 KB Output is correct
32 Correct 2 ms 724 KB Output is correct
33 Correct 2 ms 716 KB Output is correct
34 Correct 2 ms 724 KB Output is correct
35 Correct 2 ms 760 KB Output is correct
36 Correct 2 ms 724 KB Output is correct
37 Correct 2 ms 712 KB Output is correct
38 Correct 2 ms 852 KB Output is correct
39 Correct 2 ms 724 KB Output is correct
40 Correct 2 ms 844 KB Output is correct
41 Correct 2 ms 724 KB Output is correct
42 Correct 2 ms 724 KB Output is correct
43 Correct 2 ms 724 KB Output is correct
44 Correct 2 ms 724 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 0 ms 340 KB Output is correct
3 Correct 1 ms 340 KB Output is correct
4 Correct 1 ms 320 KB Output is correct
5 Correct 1 ms 340 KB Output is correct
6 Correct 1 ms 340 KB Output is correct
7 Correct 1 ms 340 KB Output is correct
8 Correct 1 ms 340 KB Output is correct
9 Correct 1 ms 324 KB Output is correct
10 Correct 1 ms 340 KB Output is correct
11 Correct 1 ms 340 KB Output is correct
12 Correct 1 ms 340 KB Output is correct
13 Correct 1 ms 324 KB Output is correct
14 Correct 1 ms 340 KB Output is correct
15 Correct 1 ms 324 KB Output is correct
16 Correct 1 ms 320 KB Output is correct
17 Correct 1 ms 340 KB Output is correct
18 Correct 1 ms 324 KB Output is correct
19 Correct 1 ms 340 KB Output is correct
20 Correct 0 ms 340 KB Output is correct
21 Correct 1 ms 340 KB Output is correct
22 Correct 1 ms 340 KB Output is correct
23 Correct 1 ms 596 KB Output is correct
24 Correct 2 ms 636 KB Output is correct
25 Correct 2 ms 668 KB Output is correct
26 Correct 2 ms 596 KB Output is correct
27 Correct 2 ms 596 KB Output is correct
28 Correct 2 ms 588 KB Output is correct
29 Correct 3 ms 588 KB Output is correct
30 Correct 2 ms 596 KB Output is correct
31 Correct 2 ms 636 KB Output is correct
32 Correct 2 ms 724 KB Output is correct
33 Correct 2 ms 716 KB Output is correct
34 Correct 2 ms 724 KB Output is correct
35 Correct 2 ms 760 KB Output is correct
36 Correct 2 ms 724 KB Output is correct
37 Correct 2 ms 712 KB Output is correct
38 Correct 2 ms 852 KB Output is correct
39 Correct 2 ms 724 KB Output is correct
40 Correct 2 ms 844 KB Output is correct
41 Correct 2 ms 724 KB Output is correct
42 Correct 2 ms 724 KB Output is correct
43 Correct 2 ms 724 KB Output is correct
44 Correct 2 ms 724 KB Output is correct
45 Correct 171 ms 38572 KB Output is correct
46 Correct 157 ms 38200 KB Output is correct
47 Correct 156 ms 38348 KB Output is correct
48 Correct 162 ms 38316 KB Output is correct
49 Correct 153 ms 37696 KB Output is correct
50 Correct 150 ms 37608 KB Output is correct
51 Correct 168 ms 37812 KB Output is correct
52 Correct 169 ms 38584 KB Output is correct
53 Correct 142 ms 38176 KB Output is correct
54 Correct 184 ms 55460 KB Output is correct
55 Correct 200 ms 50428 KB Output is correct
56 Correct 171 ms 47436 KB Output is correct
57 Correct 199 ms 45952 KB Output is correct
58 Correct 181 ms 50176 KB Output is correct
59 Correct 164 ms 50068 KB Output is correct
60 Correct 112 ms 61984 KB Output is correct
61 Correct 187 ms 46636 KB Output is correct
62 Correct 173 ms 55324 KB Output is correct
63 Correct 166 ms 46408 KB Output is correct
64 Correct 172 ms 44984 KB Output is correct
65 Correct 174 ms 55644 KB Output is correct
66 Correct 183 ms 47112 KB Output is correct