Submission #1102438

# Submission time Handle Problem Language Result Execution time Memory
1102438 2024-10-18T06:48:57 Z 12345678 Constellation 3 (JOI20_constellation3) C++17
100 / 100
206 ms 50344 KB
#include <bits/stdc++.h>

using namespace std;

#define ll long long

const int nx=2e5+5;

ll n, m, h[nx], x, y, c, sm, l[nx], r[nx], rt, res, lz[nx];
vector<pair<ll, ll>> d[nx];
set<pair<ll, ll>> dp[nx];
stack<ll> s;

void add(int idx, pair<ll, ll> vl)
{
    auto itr=dp[idx].lower_bound(make_pair(vl.first, LLONG_MIN));
    if (itr->first==vl.first) vl.second=max(vl.second, itr->second), dp[idx].erase(itr);
    itr=dp[idx].lower_bound(make_pair(vl.first, LLONG_MIN));
    if (itr!=dp[idx].begin()&&prev(itr)->second>=vl.second) return;
    while (itr!=dp[idx].end()&&itr->second<=vl.second) itr=dp[idx].erase(itr);
    dp[idx].insert(vl);
}

void show(int idx)
{
    cout<<"show "<<idx<<'\n';
    for (auto [x, y]:dp[idx]) cout<<x<<' '<<y+lz[idx]<<'\n';
}

void solve(int u)
{
    if (l[u]) solve(l[u]);
    if (r[u]) solve(r[u]);
    ll vl=0, vr=0;
    if (l[u]||r[u])
    { 
        if (!l[u]) swap(l[u], r[u]);
        if (dp[l[u]].size()<dp[r[u]].size()) swap(l[u], r[u]);
        while (!dp[l[u]].empty()&&dp[l[u]].begin()->first<=h[u]) vl=dp[l[u]].begin()->second+lz[l[u]], dp[l[u]].erase(dp[l[u]].begin());
        while (!dp[r[u]].empty()&&dp[r[u]].begin()->first<=h[u]) vr=dp[r[u]].begin()->second+lz[r[u]], dp[r[u]].erase(dp[r[u]].begin());
        //cout<<"debug "<<u<<' '<<vl<<' '<<vr<<'\n';
        //cout<<"l "<<u<<' '<<l[u]<<' '<<r[u]<<'\n';
        swap(dp[l[u]], dp[u]);
        lz[u]=lz[l[u]];
        lz[u]+=vr;
        add(u, {h[u], vl+vr-lz[u]});
        for (auto [y, c]:dp[r[u]]) add(u, {y, c+lz[r[u]]+vl-lz[u]});
    }
    for (auto [y, c]:d[u]) add(u, {y, c+vl+vr-lz[u]});
    //show(u);
}

int main()
{
    cin.tie(NULL)->sync_with_stdio(false);
    cin>>n;
    for (int i=1; i<=n; i++) cin>>h[i];
    cin>>m;
    for (int i=1; i<=m; i++) cin>>x>>y>>c, d[x].push_back({y, c}), sm+=c;
    for (int i=1; i<=n; i++)
    {
        while (!s.empty()&&h[s.top()]<h[i]) l[i]=s.top(), s.pop();
        if (!s.empty()) r[s.top()]=i;
        else rt=i;
        s.push(i);
    }
    solve(rt);
    //cout<<"here "<<rt<<' '<<prev(dp[rt].end())->second<<'\n';
    if (dp[rt].empty()) cout<<sm;
    else cout<<sm-(prev(dp[rt].end())->second+lz[rt]);
}
# Verdict Execution time Memory Grader output
1 Correct 4 ms 19024 KB Output is correct
2 Correct 3 ms 19064 KB Output is correct
3 Correct 4 ms 19024 KB Output is correct
4 Correct 4 ms 19120 KB Output is correct
5 Correct 4 ms 19024 KB Output is correct
6 Correct 3 ms 19024 KB Output is correct
7 Correct 3 ms 19024 KB Output is correct
8 Correct 3 ms 19024 KB Output is correct
9 Correct 3 ms 19024 KB Output is correct
10 Correct 3 ms 19252 KB Output is correct
11 Correct 3 ms 19024 KB Output is correct
12 Correct 3 ms 19024 KB Output is correct
13 Correct 3 ms 19024 KB Output is correct
14 Correct 5 ms 19024 KB Output is correct
15 Correct 4 ms 19024 KB Output is correct
16 Correct 3 ms 19024 KB Output is correct
17 Correct 3 ms 19024 KB Output is correct
18 Correct 3 ms 19024 KB Output is correct
19 Correct 3 ms 19024 KB Output is correct
20 Correct 4 ms 19024 KB Output is correct
21 Correct 3 ms 19024 KB Output is correct
22 Correct 3 ms 19024 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 4 ms 19024 KB Output is correct
2 Correct 3 ms 19064 KB Output is correct
3 Correct 4 ms 19024 KB Output is correct
4 Correct 4 ms 19120 KB Output is correct
5 Correct 4 ms 19024 KB Output is correct
6 Correct 3 ms 19024 KB Output is correct
7 Correct 3 ms 19024 KB Output is correct
8 Correct 3 ms 19024 KB Output is correct
9 Correct 3 ms 19024 KB Output is correct
10 Correct 3 ms 19252 KB Output is correct
11 Correct 3 ms 19024 KB Output is correct
12 Correct 3 ms 19024 KB Output is correct
13 Correct 3 ms 19024 KB Output is correct
14 Correct 5 ms 19024 KB Output is correct
15 Correct 4 ms 19024 KB Output is correct
16 Correct 3 ms 19024 KB Output is correct
17 Correct 3 ms 19024 KB Output is correct
18 Correct 3 ms 19024 KB Output is correct
19 Correct 3 ms 19024 KB Output is correct
20 Correct 4 ms 19024 KB Output is correct
21 Correct 3 ms 19024 KB Output is correct
22 Correct 3 ms 19024 KB Output is correct
23 Correct 4 ms 19024 KB Output is correct
24 Correct 4 ms 19024 KB Output is correct
25 Correct 4 ms 19196 KB Output is correct
26 Correct 4 ms 19024 KB Output is correct
27 Correct 5 ms 19024 KB Output is correct
28 Correct 4 ms 19024 KB Output is correct
29 Correct 4 ms 19024 KB Output is correct
30 Correct 4 ms 19192 KB Output is correct
31 Correct 4 ms 19024 KB Output is correct
32 Correct 4 ms 19324 KB Output is correct
33 Correct 5 ms 19280 KB Output is correct
34 Correct 4 ms 19280 KB Output is correct
35 Correct 5 ms 19076 KB Output is correct
36 Correct 4 ms 19192 KB Output is correct
37 Correct 4 ms 19280 KB Output is correct
38 Correct 4 ms 19280 KB Output is correct
39 Correct 4 ms 19024 KB Output is correct
40 Correct 4 ms 19280 KB Output is correct
41 Correct 4 ms 19024 KB Output is correct
42 Correct 5 ms 19164 KB Output is correct
43 Correct 5 ms 19368 KB Output is correct
44 Correct 4 ms 19024 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 4 ms 19024 KB Output is correct
2 Correct 3 ms 19064 KB Output is correct
3 Correct 4 ms 19024 KB Output is correct
4 Correct 4 ms 19120 KB Output is correct
5 Correct 4 ms 19024 KB Output is correct
6 Correct 3 ms 19024 KB Output is correct
7 Correct 3 ms 19024 KB Output is correct
8 Correct 3 ms 19024 KB Output is correct
9 Correct 3 ms 19024 KB Output is correct
10 Correct 3 ms 19252 KB Output is correct
11 Correct 3 ms 19024 KB Output is correct
12 Correct 3 ms 19024 KB Output is correct
13 Correct 3 ms 19024 KB Output is correct
14 Correct 5 ms 19024 KB Output is correct
15 Correct 4 ms 19024 KB Output is correct
16 Correct 3 ms 19024 KB Output is correct
17 Correct 3 ms 19024 KB Output is correct
18 Correct 3 ms 19024 KB Output is correct
19 Correct 3 ms 19024 KB Output is correct
20 Correct 4 ms 19024 KB Output is correct
21 Correct 3 ms 19024 KB Output is correct
22 Correct 3 ms 19024 KB Output is correct
23 Correct 4 ms 19024 KB Output is correct
24 Correct 4 ms 19024 KB Output is correct
25 Correct 4 ms 19196 KB Output is correct
26 Correct 4 ms 19024 KB Output is correct
27 Correct 5 ms 19024 KB Output is correct
28 Correct 4 ms 19024 KB Output is correct
29 Correct 4 ms 19024 KB Output is correct
30 Correct 4 ms 19192 KB Output is correct
31 Correct 4 ms 19024 KB Output is correct
32 Correct 4 ms 19324 KB Output is correct
33 Correct 5 ms 19280 KB Output is correct
34 Correct 4 ms 19280 KB Output is correct
35 Correct 5 ms 19076 KB Output is correct
36 Correct 4 ms 19192 KB Output is correct
37 Correct 4 ms 19280 KB Output is correct
38 Correct 4 ms 19280 KB Output is correct
39 Correct 4 ms 19024 KB Output is correct
40 Correct 4 ms 19280 KB Output is correct
41 Correct 4 ms 19024 KB Output is correct
42 Correct 5 ms 19164 KB Output is correct
43 Correct 5 ms 19368 KB Output is correct
44 Correct 4 ms 19024 KB Output is correct
45 Correct 118 ms 33104 KB Output is correct
46 Correct 108 ms 32920 KB Output is correct
47 Correct 111 ms 33356 KB Output is correct
48 Correct 104 ms 32844 KB Output is correct
49 Correct 86 ms 32964 KB Output is correct
50 Correct 87 ms 32876 KB Output is correct
51 Correct 83 ms 32844 KB Output is correct
52 Correct 103 ms 33356 KB Output is correct
53 Correct 87 ms 33100 KB Output is correct
54 Correct 103 ms 47192 KB Output is correct
55 Correct 104 ms 44880 KB Output is correct
56 Correct 110 ms 43240 KB Output is correct
57 Correct 126 ms 42420 KB Output is correct
58 Correct 109 ms 40780 KB Output is correct
59 Correct 91 ms 40744 KB Output is correct
60 Correct 79 ms 48716 KB Output is correct
61 Correct 115 ms 41804 KB Output is correct
62 Correct 201 ms 50344 KB Output is correct
63 Correct 137 ms 40068 KB Output is correct
64 Correct 154 ms 41292 KB Output is correct
65 Correct 206 ms 50260 KB Output is correct
66 Correct 139 ms 41036 KB Output is correct