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답안 #1079881

# 제출 시각 아이디 문제 언어 결과 실행 시간 메모리
1079881 2024-08-29T02:55:09 Z _callmelucian 별자리 3 (JOI20_constellation3) C++17
100 / 100
 246 ms 35336 KB 
#include <bits/stdc++.h>
using namespace std;

typedef long long ll;
typedef long double ld;
typedef pair<ll,ll> pl;
typedef pair<int,int> pii;
typedef tuple<int,int,int> tt;

#define all(a) a.begin(), a.end()
#define filter(a) a.erase(unique(all(a)), a.end())

const int mn = 2e5 + 5;

struct item {
    int core, height, lb, rb, value;

    item() : core(0), height(0), lb(0), rb(0), value(0) {}

    item (int l, int r) :
        core(0), height(0), lb(l), rb(r), value(0) {}

    item (int c, int h, int l, int r, int v) :
        core(c), height(h), lb(l), rb(r), value(v) {}

    bool operator < (const item &o) const {
        if (rb == o.rb) return lb > o.lb;
        return rb < o.rb;
    }

    friend istream& operator >> (istream &inp, item &cur) {
        inp >> cur.core >> cur.height >> cur.value;
        return inp;
    }
} star[mn];

struct IT {
    vector<int> lazy;
    IT (int sz) : lazy(4 * sz, INT_MAX) {}

    void update (int a, int b, int val, int k, int l, int r) {
        if (b < l || r < a) return;
        if (a <= l && r <= b) {
            lazy[k] = min(lazy[k], val);
            return;
        }
        int mid = (l + r) >> 1;
        update(a, b, val, 2 * k, l, mid);
        update(a, b, val, 2 * k + 1, mid + 1, r);
    }

    int query (int pos, int k, int l, int r) {
        int ans = lazy[k], mid = (l + r) >> 1;
        if (l == r) return ans;
        if (l <= pos && pos <= mid)
            return min(ans, query(pos, 2 * k, l, mid));
        return min(ans, query(pos, 2 * k + 1, mid + 1, r));
    }
} tree(mn);

struct DSU {
    vector<ll> par, weight;
    DSU (int sz) : par(sz + 1), weight(sz + 1) {}

    pl get (int u) {
        if (!par[u]) return {u, weight[u]};
        pl cur = get(par[u]);
        weight[u] += cur.second - weight[cur.first];
        par[u] = cur.first;
        return {par[u], weight[u] + weight[par[u]]};
    }

    void unite (int p, int u) {
        p = get(p).first, u = get(u).first;
        if (p != u) par[u] = p;
    }

    void incr (int u, ll val) { weight[u] += val; }
};

vector<int> pos[mn];
ll dp[mn], sumTree[mn];
int a[mn];

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

    int n; cin >> n;
    for (int i = 1; i <= n; i++) cin >> a[i];

    int m; cin >> m; ll sum = 0;
    for (int i = 1; i <= m; i++) {
        cin >> star[i];
        sum += star[i].value;
        pos[star[i].core].push_back(i);
    }

    // construct lb
    vector<pii> line; line.emplace_back(INT_MAX, 0);
    for (int i = 1; i <= n; i++) {
        while (line.back().first <= a[i]) line.pop_back();
        line.emplace_back(a[i], i);

        for (int u : pos[i]) {
            auto it = lower_bound(all(line), make_pair(star[u].height, 0), greater<pii>());
            star[u].lb = prev(it)->second + 1;
        }
    }

    // construct rb
    line.clear(); line.emplace_back(INT_MAX, n + 1);
    for (int i = n; i >= 1; i--) {
        while (line.back().first <= a[i]) line.pop_back();
        line.emplace_back(a[i], i);

        for (int u : pos[i]) {
            auto it = lower_bound(all(line), make_pair(star[u].height, 0), greater<pii>());
            star[u].rb = prev(it)->second - 1;
        }
    }
    sort(star + 1, star + 1 + m);

    // sweep ranges
    vector<int> roots; IT tree(n);
    DSU dsuDP(m), dsuSum(m);

    for (int i = 1; i <= m; i++) {
        while (roots.size() && star[i].lb <= star[roots.back()].lb) {
            // i is the new parent of roots.back()
            sumTree[i] += dp[roots.back()], dsuDP.unite(i, roots.back()), dsuSum.unite(i, roots.back());
            roots.pop_back();
        }
        roots.push_back(i);
        dsuSum.incr(i, sumTree[i]);
        tree.update(star[i].lb, star[i].rb, i, 1, 1, n);

        int j = tree.query(star[i].core, 1, 1, n);
        dp[i] = max(sumTree[i], dsuSum.get(j).second - dsuDP.get(j).second + star[i].value);
        dsuDP.incr(i, dp[i]);
    }

    ll ans = 0;
    for (int u : roots) ans += dp[u];
    cout << sum - ans;

    return 0;
}

Subtask #1
14.0 / 14.0

# 결과 실행 시간 메모리 Grader output
1 Correct 5 ms 13916 KB Output is correct
2 Correct 2 ms 13920 KB Output is correct
3 Correct 3 ms 13916 KB Output is correct
4 Correct 3 ms 13916 KB Output is correct
5 Correct 3 ms 13916 KB Output is correct
6 Correct 4 ms 13916 KB Output is correct
7 Correct 3 ms 13916 KB Output is correct
8 Correct 3 ms 13916 KB Output is correct
9 Correct 3 ms 13916 KB Output is correct
10 Correct 3 ms 13916 KB Output is correct
11 Correct 3 ms 13916 KB Output is correct
12 Correct 3 ms 13916 KB Output is correct
13 Correct 3 ms 13916 KB Output is correct
14 Correct 6 ms 13912 KB Output is correct
15 Correct 3 ms 13740 KB Output is correct
16 Correct 3 ms 13916 KB Output is correct
17 Correct 4 ms 13916 KB Output is correct
18 Correct 2 ms 13916 KB Output is correct
19 Correct 3 ms 13916 KB Output is correct
20 Correct 3 ms 13916 KB Output is correct
21 Correct 3 ms 13916 KB Output is correct
22 Correct 3 ms 13916 KB Output is correct

Subtask #2
21.0 / 21.0

# 결과 실행 시간 메모리 Grader output
1 Correct 5 ms 13916 KB Output is correct
2 Correct 2 ms 13920 KB Output is correct
3 Correct 3 ms 13916 KB Output is correct
4 Correct 3 ms 13916 KB Output is correct
5 Correct 3 ms 13916 KB Output is correct
6 Correct 4 ms 13916 KB Output is correct
7 Correct 3 ms 13916 KB Output is correct
8 Correct 3 ms 13916 KB Output is correct
9 Correct 3 ms 13916 KB Output is correct
10 Correct 3 ms 13916 KB Output is correct
11 Correct 3 ms 13916 KB Output is correct
12 Correct 3 ms 13916 KB Output is correct
13 Correct 3 ms 13916 KB Output is correct
14 Correct 6 ms 13912 KB Output is correct
15 Correct 3 ms 13740 KB Output is correct
16 Correct 3 ms 13916 KB Output is correct
17 Correct 4 ms 13916 KB Output is correct
18 Correct 2 ms 13916 KB Output is correct
19 Correct 3 ms 13916 KB Output is correct
20 Correct 3 ms 13916 KB Output is correct
21 Correct 3 ms 13916 KB Output is correct
22 Correct 3 ms 13916 KB Output is correct
23 Correct 4 ms 13912 KB Output is correct
24 Correct 4 ms 13916 KB Output is correct
25 Correct 5 ms 13916 KB Output is correct
26 Correct 4 ms 13916 KB Output is correct
27 Correct 4 ms 13916 KB Output is correct
28 Correct 4 ms 13912 KB Output is correct
29 Correct 5 ms 13916 KB Output is correct
30 Correct 5 ms 13916 KB Output is correct
31 Correct 4 ms 13916 KB Output is correct
32 Correct 4 ms 13916 KB Output is correct
33 Correct 4 ms 13964 KB Output is correct
34 Correct 5 ms 13916 KB Output is correct
35 Correct 4 ms 13980 KB Output is correct
36 Correct 4 ms 13872 KB Output is correct
37 Correct 4 ms 13912 KB Output is correct
38 Correct 4 ms 13916 KB Output is correct
39 Correct 4 ms 13916 KB Output is correct
40 Correct 4 ms 13916 KB Output is correct
41 Correct 4 ms 13868 KB Output is correct
42 Correct 4 ms 13916 KB Output is correct
43 Correct 4 ms 13916 KB Output is correct
44 Correct 4 ms 13876 KB Output is correct

Subtask #3
65.0 / 65.0

# 결과 실행 시간 메모리 Grader output
1 Correct 5 ms 13916 KB Output is correct
2 Correct 2 ms 13920 KB Output is correct
3 Correct 3 ms 13916 KB Output is correct
4 Correct 3 ms 13916 KB Output is correct
5 Correct 3 ms 13916 KB Output is correct
6 Correct 4 ms 13916 KB Output is correct
7 Correct 3 ms 13916 KB Output is correct
8 Correct 3 ms 13916 KB Output is correct
9 Correct 3 ms 13916 KB Output is correct
10 Correct 3 ms 13916 KB Output is correct
11 Correct 3 ms 13916 KB Output is correct
12 Correct 3 ms 13916 KB Output is correct
13 Correct 3 ms 13916 KB Output is correct
14 Correct 6 ms 13912 KB Output is correct
15 Correct 3 ms 13740 KB Output is correct
16 Correct 3 ms 13916 KB Output is correct
17 Correct 4 ms 13916 KB Output is correct
18 Correct 2 ms 13916 KB Output is correct
19 Correct 3 ms 13916 KB Output is correct
20 Correct 3 ms 13916 KB Output is correct
21 Correct 3 ms 13916 KB Output is correct
22 Correct 3 ms 13916 KB Output is correct
23 Correct 4 ms 13912 KB Output is correct
24 Correct 4 ms 13916 KB Output is correct
25 Correct 5 ms 13916 KB Output is correct
26 Correct 4 ms 13916 KB Output is correct
27 Correct 4 ms 13916 KB Output is correct
28 Correct 4 ms 13912 KB Output is correct
29 Correct 5 ms 13916 KB Output is correct
30 Correct 5 ms 13916 KB Output is correct
31 Correct 4 ms 13916 KB Output is correct
32 Correct 4 ms 13916 KB Output is correct
33 Correct 4 ms 13964 KB Output is correct
34 Correct 5 ms 13916 KB Output is correct
35 Correct 4 ms 13980 KB Output is correct
36 Correct 4 ms 13872 KB Output is correct
37 Correct 4 ms 13912 KB Output is correct
38 Correct 4 ms 13916 KB Output is correct
39 Correct 4 ms 13916 KB Output is correct
40 Correct 4 ms 13916 KB Output is correct
41 Correct 4 ms 13868 KB Output is correct
42 Correct 4 ms 13916 KB Output is correct
43 Correct 4 ms 13916 KB Output is correct
44 Correct 4 ms 13876 KB Output is correct
45 Correct 126 ms 34644 KB Output is correct
46 Correct 124 ms 34384 KB Output is correct
47 Correct 138 ms 34852 KB Output is correct
48 Correct 133 ms 34288 KB Output is correct
49 Correct 147 ms 34496 KB Output is correct
50 Correct 124 ms 34384 KB Output is correct
51 Correct 126 ms 34388 KB Output is correct
52 Correct 132 ms 34916 KB Output is correct
53 Correct 126 ms 34388 KB Output is correct
54 Correct 231 ms 35336 KB Output is correct
55 Correct 244 ms 35272 KB Output is correct
56 Correct 230 ms 35020 KB Output is correct
57 Correct 223 ms 35028 KB Output is correct
58 Correct 194 ms 34212 KB Output is correct
59 Correct 174 ms 34604 KB Output is correct
60 Correct 85 ms 34728 KB Output is correct
61 Correct 156 ms 34348 KB Output is correct
62 Correct 228 ms 35276 KB Output is correct
63 Correct 144 ms 34308 KB Output is correct
64 Correct 158 ms 33876 KB Output is correct
65 Correct 246 ms 35036 KB Output is correct
66 Correct 167 ms 34608 KB Output is correct