oj.uz

Submission #1003463

# Submission time Handle Problem Language Result Execution time Memory
1003463 2024-06-20T11:14:03 Z onbert Constellation 3 (JOI20_constellation3) C++17
100 / 100
 802 ms 126436 KB 
#include <bits/stdc++.h>
using namespace std;
#define int long long
const int maxn = 6e5 + 5;
struct node {
    int x, y, c;
    bool operator < (const node &b) const {
        if (y!=b.y) return y < b.y;
        if (x!=b.x) return x < b.x;
        return c < b.c;
    }
};

int siz;
int fen[maxn];
void update(int id, int val) {
    while (id <= siz) {
        fen[id] += val;
        id += (id & -id);
    }
}
int qry(int id) {
    int val = 0;
    while (id>=1) {
        val += fen[id];
        id -= (id & -id);
    }
    return val;
}

vector<node> star;
int dc1(node x) {return lower_bound(star.begin(), star.end(), x) - star.begin();}
vector<pair<int,int>> ranges;
int dc2(pair<int,int> x) {return lower_bound(ranges.begin(), ranges.end(), x) - ranges.begin();}
pair<int,int> in[maxn];
vector<node> mem[maxn];

vector<int> ADJ[maxn];
int sz[maxn], d[maxn], newid[maxn], lim[maxn], nxt[maxn], fa[maxn], cnter = 0;
void dfs1(int u) {
    sz[u] = 1;
    for (int v:ADJ[u]) {
        dfs1(v);
        sz[u] += sz[v];
    }
    for (int i=1;i<ADJ[u].size();i++) if (sz[ADJ[u][i]] > sz[ADJ[u][0]]) swap(ADJ[u][i], ADJ[u][0]);
}
void dfs2(int u) {
    cnter++;
    newid[u] = cnter;
    // cout << u << " " << ranges[u].first << " " << ranges[u].second << endl;
    for (int v:ADJ[u]) {
        // cout << u << " " << v << endl;
        d[cnter+1] = d[newid[u]] + 1;
        fa[cnter+1] = newid[u];
        if (v == ADJ[u][0]) nxt[cnter+1] = nxt[newid[u]];
        else nxt[cnter+1] = cnter+1;
        dfs2(v);
    }
    lim[newid[u]] = cnter;
}

int PATH(int u, int v) {
    if (d[u] > d[v]) swap(u, v);
    vector<pair<int,int>> path;
    if (u!=v) {
        path = {{nxt[u], u}};
        u = nxt[u];
        while (u > v || v > lim[u]) {
            u = fa[u];
            path.push_back({nxt[u], u});
            u = nxt[u];
        }
        auto [l, r] = path.back();
        while (l<r) {
            int mid = (l+r+1)/2;
            if (mid<=v && v<=lim[mid]) l = mid;
            else r = mid-1;
        }
        path.back().first = u = l;
        path.push_back({nxt[v], v});
        v = nxt[v];
        while (d[fa[v]] > d[u]) {
            v = fa[v];
            path.push_back({nxt[v], v});
            v = nxt[v];
        }
        path.back().first += d[u] - d[v] + 1;
    } else path = {{u, u}};

    int val = 0;
    for (auto [L, R]:path) val += qry(R) - qry(L-1);
    // cout << val << endl;
    return val;
}


int ansR[maxn], ansS[maxn];
void dfs3(int u) {
    for (int v:ADJ[u]) dfs3(v);
    ansR[u] = 0;
    // cout << "RANGE " << u << " " << ranges[u].first << " " << ranges[u].second << endl;
    for (auto [x, y, c]:mem[u]) {
        // cout << x << " " << y << " " << c << endl;
        int id = dc1({x, y, c}), end = dc2(in[x]);
        // cout << "end " << " " << end << " " << in[x].first << " " << in[x].second << endl;
        ansS[id] = PATH(newid[u], newid[end]) + c;
        ansR[u] = max(ansS[id], ansR[u]);
        // cout << ansS[id] << endl;
    }
    update(newid[u], -ansR[u]);
    if (fa[newid[u]] != -1) update(fa[newid[u]], ansR[u]);
}


signed main() {
    ios::sync_with_stdio(0); cin.tie(0);
    int n;
    cin >> n;
    pair<int,int> a[n+1];
    int A[n+1];
    for (int i=1;i<=n;i++) {
        cin >> a[i].first;
        a[i].second = i;
        A[i] = a[i].first;
    }
    sort(a+1, a+n+1);
    set<int> s;
    for (int i=0;i<=n+1;i++) s.insert(i);
    int last = 1;
    for (int i=1;i<=n;i++) {
        for (; a[last].first < a[i].first; last++) {
            auto it = s.upper_bound(a[last].second);
            pair<int,int> cur = {*prev(it) + 1, *it - 1};
            ranges.push_back(cur);
            in[a[last].second] = cur;
            // cout << "bruh " << a[last].second << " " << cur.first << " " << cur.second << endl;
        }
        s.erase(a[i].second);
    }
    for (; last<=n; last++) {
        auto it = s.upper_bound(a[last].second);
        pair<int,int> cur = {*prev(it) + 1, *it - 1};
        ranges.push_back(cur);
        in[a[last].second] = cur;
        // cout << "bruh " << a[last].second << " " << cur.first << " " << cur.second << endl;
    }
    sort(ranges.begin(), ranges.end()); ranges.erase(unique(ranges.begin(), ranges.end()), ranges.end());


    int m, SUM = 0;
    cin >> m;
    for (int i=1;i<=m;i++) {
        int x, y, c;
        cin >> x >> y >> c;
        star.push_back({x, y, c});
        SUM += c;
    }
    for (int i=1;i<=n;i++) star.push_back({i, A[i]+1, 0});
    
    siz = ranges.size();

    sort(star.begin(), star.end());
    vector<pair<int,int>> sub[siz];
    for (int i=0;i<siz;i++) sub[i] = {{ranges[i].first, -1}};
    for (int i=1;i<=n;i++) s.insert(i);
    last = 1;
    for (auto [x, y, c]:star) {
        // cout << x << " " << y << " " << c << endl;
        for (;last <= n && a[last].first < y; last++) s.erase(a[last].second);
        auto it = s.lower_bound(x);
        int l = *prev(it) + 1, r = *it - 1;
        int id = dc2({l, r});
        mem[id].push_back({x, y, c});
        // cout << id << endl;
        if (c==0) {
            if (x-1>=sub[id].back().first) {
                sub[id].back().second = x-1;
                sub[id].push_back({x+1, -1});
            } else sub[id].back().first = x+1;
        }
    }

    for (int i=0;i<siz;i++) {
        if (sub[i].back().first <= ranges[i].second) sub[i].back().second = ranges[i].second;
        else sub[i].pop_back();
        for (auto [l, r]:sub[i]) ADJ[i].push_back(dc2({l, r}));
    }
    int first = dc2({1, n});
    d[1] = 0, nxt[1] = 1, fa[1] = -1;
    dfs1(first); dfs2(first);
    dfs3(first);
    // for (int i=1;i<=n;i++) cout << nxt[i] << " "; cout << endl;

    cout << SUM - ansR[first] << endl;
}

Compilation message

constellation3.cpp: In function 'void dfs1(long long int)':
constellation3.cpp:46:19: warning: comparison of integer expressions of different signedness: 'long long int' and 'std::vector<long long int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   46 |     for (int i=1;i<ADJ[u].size();i++) if (sz[ADJ[u][i]] > sz[ADJ[u][0]]) swap(ADJ[u][i], ADJ[u][0]);
      |                  ~^~~~~~~~~~~~~~

Subtask #1
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 12 ms 28760 KB Output is correct
2 Correct 12 ms 28764 KB Output is correct
3 Correct 11 ms 28688 KB Output is correct
4 Correct 12 ms 28764 KB Output is correct
5 Correct 16 ms 28656 KB Output is correct
6 Correct 12 ms 28764 KB Output is correct
7 Correct 15 ms 28720 KB Output is correct
8 Correct 12 ms 28760 KB Output is correct
9 Correct 11 ms 28764 KB Output is correct
10 Correct 11 ms 28764 KB Output is correct
11 Correct 11 ms 28828 KB Output is correct
12 Correct 12 ms 28764 KB Output is correct
13 Correct 12 ms 28760 KB Output is correct
14 Correct 12 ms 28772 KB Output is correct
15 Correct 12 ms 28764 KB Output is correct
16 Correct 11 ms 28764 KB Output is correct
17 Correct 12 ms 28760 KB Output is correct
18 Correct 11 ms 28764 KB Output is correct
19 Correct 12 ms 28808 KB Output is correct
20 Correct 12 ms 28760 KB Output is correct
21 Correct 12 ms 28764 KB Output is correct
22 Correct 12 ms 28764 KB Output is correct

Subtask #2
21.0 / 21.0

# Verdict Execution time Memory Grader output
1 Correct 12 ms 28760 KB Output is correct
2 Correct 12 ms 28764 KB Output is correct
3 Correct 11 ms 28688 KB Output is correct
4 Correct 12 ms 28764 KB Output is correct
5 Correct 16 ms 28656 KB Output is correct
6 Correct 12 ms 28764 KB Output is correct
7 Correct 15 ms 28720 KB Output is correct
8 Correct 12 ms 28760 KB Output is correct
9 Correct 11 ms 28764 KB Output is correct
10 Correct 11 ms 28764 KB Output is correct
11 Correct 11 ms 28828 KB Output is correct
12 Correct 12 ms 28764 KB Output is correct
13 Correct 12 ms 28760 KB Output is correct
14 Correct 12 ms 28772 KB Output is correct
15 Correct 12 ms 28764 KB Output is correct
16 Correct 11 ms 28764 KB Output is correct
17 Correct 12 ms 28760 KB Output is correct
18 Correct 11 ms 28764 KB Output is correct
19 Correct 12 ms 28808 KB Output is correct
20 Correct 12 ms 28760 KB Output is correct
21 Correct 12 ms 28764 KB Output is correct
22 Correct 12 ms 28764 KB Output is correct
23 Correct 16 ms 29276 KB Output is correct
24 Correct 14 ms 29276 KB Output is correct
25 Correct 16 ms 29276 KB Output is correct
26 Correct 15 ms 29276 KB Output is correct
27 Correct 16 ms 29276 KB Output is correct
28 Correct 15 ms 29272 KB Output is correct
29 Correct 15 ms 29276 KB Output is correct
30 Correct 15 ms 29276 KB Output is correct
31 Correct 15 ms 29276 KB Output is correct
32 Correct 15 ms 29532 KB Output is correct
33 Correct 14 ms 29532 KB Output is correct
34 Correct 15 ms 29276 KB Output is correct
35 Correct 14 ms 29272 KB Output is correct
36 Correct 12 ms 29024 KB Output is correct
37 Correct 12 ms 29016 KB Output is correct
38 Correct 15 ms 29532 KB Output is correct
39 Correct 19 ms 29276 KB Output is correct
40 Correct 18 ms 29272 KB Output is correct
41 Correct 14 ms 29276 KB Output is correct
42 Correct 14 ms 29228 KB Output is correct
43 Correct 13 ms 29276 KB Output is correct
44 Correct 13 ms 29108 KB Output is correct

Subtask #3
65.0 / 65.0

# Verdict Execution time Memory Grader output
1 Correct 12 ms 28760 KB Output is correct
2 Correct 12 ms 28764 KB Output is correct
3 Correct 11 ms 28688 KB Output is correct
4 Correct 12 ms 28764 KB Output is correct
5 Correct 16 ms 28656 KB Output is correct
6 Correct 12 ms 28764 KB Output is correct
7 Correct 15 ms 28720 KB Output is correct
8 Correct 12 ms 28760 KB Output is correct
9 Correct 11 ms 28764 KB Output is correct
10 Correct 11 ms 28764 KB Output is correct
11 Correct 11 ms 28828 KB Output is correct
12 Correct 12 ms 28764 KB Output is correct
13 Correct 12 ms 28760 KB Output is correct
14 Correct 12 ms 28772 KB Output is correct
15 Correct 12 ms 28764 KB Output is correct
16 Correct 11 ms 28764 KB Output is correct
17 Correct 12 ms 28760 KB Output is correct
18 Correct 11 ms 28764 KB Output is correct
19 Correct 12 ms 28808 KB Output is correct
20 Correct 12 ms 28760 KB Output is correct
21 Correct 12 ms 28764 KB Output is correct
22 Correct 12 ms 28764 KB Output is correct
23 Correct 16 ms 29276 KB Output is correct
24 Correct 14 ms 29276 KB Output is correct
25 Correct 16 ms 29276 KB Output is correct
26 Correct 15 ms 29276 KB Output is correct
27 Correct 16 ms 29276 KB Output is correct
28 Correct 15 ms 29272 KB Output is correct
29 Correct 15 ms 29276 KB Output is correct
30 Correct 15 ms 29276 KB Output is correct
31 Correct 15 ms 29276 KB Output is correct
32 Correct 15 ms 29532 KB Output is correct
33 Correct 14 ms 29532 KB Output is correct
34 Correct 15 ms 29276 KB Output is correct
35 Correct 14 ms 29272 KB Output is correct
36 Correct 12 ms 29024 KB Output is correct
37 Correct 12 ms 29016 KB Output is correct
38 Correct 15 ms 29532 KB Output is correct
39 Correct 19 ms 29276 KB Output is correct
40 Correct 18 ms 29272 KB Output is correct
41 Correct 14 ms 29276 KB Output is correct
42 Correct 14 ms 29228 KB Output is correct
43 Correct 13 ms 29276 KB Output is correct
44 Correct 13 ms 29108 KB Output is correct
45 Correct 802 ms 100308 KB Output is correct
46 Correct 792 ms 99432 KB Output is correct
47 Correct 770 ms 99044 KB Output is correct
48 Correct 773 ms 100112 KB Output is correct
49 Correct 752 ms 98292 KB Output is correct
50 Correct 750 ms 98128 KB Output is correct
51 Correct 669 ms 98484 KB Output is correct
52 Correct 751 ms 99876 KB Output is correct
53 Correct 717 ms 99492 KB Output is correct
54 Correct 495 ms 114652 KB Output is correct
55 Correct 487 ms 109236 KB Output is correct
56 Correct 455 ms 106488 KB Output is correct
57 Correct 481 ms 104536 KB Output is correct
58 Correct 276 ms 74084 KB Output is correct
59 Correct 268 ms 74012 KB Output is correct
60 Correct 358 ms 126436 KB Output is correct
61 Correct 492 ms 90480 KB Output is correct
62 Correct 419 ms 107960 KB Output is correct
63 Correct 421 ms 85664 KB Output is correct
64 Correct 434 ms 88400 KB Output is correct
65 Correct 446 ms 108508 KB Output is correct
66 Correct 394 ms 85164 KB Output is correct