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Submission #251553

# Submission time Handle Problem Language Result Execution time Memory
251553 2020-07-21T19:17:57 Z imeimi2000 Constellation 3 (JOI20_constellation3) C++17
100 / 100
 692 ms 79224 KB 
#include <bits/stdc++.h>

using namespace std;
typedef long long llong;

int n;
int A[200001];
vector<int> H[200001];
int I[200002];
int D[200001];
int V[200001];

vector<int> child[200001];

void add(int &ord, int p, int l, int r) {
    if (r - l - 1 <= 0) return;
    int i = ++ord;
    child[p].push_back(i);
    I[l] = i;
}

const int L = 18;
int st[200001], ed[200001], dep[200001], par[200001][L];
void dfs(int x, int p) {
    static int ord = 0;
    st[x] = ++ord;
    par[x][0] = p;
    for (int i = 1; i < L; ++i) par[x][i] = par[par[x][i - 1]][i - 1];
    for (int i : child[x]) {
        dfs(i, x);
    }
    ed[x] = ord;
}

vector<pair<int, int>> C[200001];
llong dp[200001], sum[200001];

llong fen[200001];

void update(int i, llong x) {
    while (i <= n) {
        fen[i] += x;
        i += i & -i;
    }
}

llong query(int i) {
    llong ret = 0;
    while (i) {
        ret += fen[i];
        i -= i & -i;
    }
    return ret;
}

void dfs2(int x, int p) {
    for (int i : child[x]) {
        dfs2(i, x);
        sum[x] += dp[i];
    }
    for (auto [y, c] : C[x]) {
        dp[x] = max(dp[x], query(st[y]) + c);
    }
    update(st[x], -dp[x]);
    update(ed[x] + 1, dp[x]);
    dp[x] += sum[x];
}

int main() {
    ios_base::sync_with_stdio(0); cin.tie(0);
    cin >> n;
    for (int i = 1; i <= n; ++i) {
        cin >> A[i];
        H[A[i]].push_back(i);
    }
    set<int> cut;
    cut.insert(0);
    cut.insert(n + 1);
    int ord = 0;
    D[0] = n;
    I[0] = ++ord;
    for (int h = n; h > 0; --h) {
        for (int i = 0; i < int(H[h].size()); ) {
            int x = H[h][i];
            auto it = cut.lower_bound(x);
            int l = *prev(it), r = *it;
            int p = I[l];
            D[p] = h;
            while (i < int(H[h].size()) && H[h][i] < r) {
                add(ord, p, l, H[h][i]);
                cut.insert(l = H[h][i]);
                V[l] = p;
                ++i;
            }
            add(ord, p, l, r);
        }
    }
    dfs(1, 0);
    int q;
    cin >> q;
    llong sum = 0;
    while (q--) {
        int x, y, c;
        cin >> x >> y >> c;
        sum += c;
        int dn = V[x];
        int up = dn;
        for (int i = L; i--; ) if (D[par[up][i]] < y) up = par[up][i];
        C[up].emplace_back(dn, c);
    }
    dfs2(1, 0);
    printf("%lld\n", sum - dp[1]);
    return 0;
}

Subtask #1
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 10 ms 14720 KB Output is correct
2 Correct 9 ms 14592 KB Output is correct
3 Correct 9 ms 14592 KB Output is correct
4 Correct 9 ms 14592 KB Output is correct
5 Correct 10 ms 14592 KB Output is correct
6 Correct 9 ms 14592 KB Output is correct
7 Correct 9 ms 14592 KB Output is correct
8 Correct 9 ms 14592 KB Output is correct
9 Correct 9 ms 14592 KB Output is correct
10 Correct 9 ms 14592 KB Output is correct
11 Correct 9 ms 14592 KB Output is correct
12 Correct 9 ms 14592 KB Output is correct
13 Correct 12 ms 14592 KB Output is correct
14 Correct 9 ms 14592 KB Output is correct
15 Correct 9 ms 14592 KB Output is correct
16 Correct 9 ms 14592 KB Output is correct
17 Correct 9 ms 14592 KB Output is correct
18 Correct 11 ms 14592 KB Output is correct
19 Correct 10 ms 14592 KB Output is correct
20 Correct 9 ms 14592 KB Output is correct
21 Correct 10 ms 14512 KB Output is correct
22 Correct 9 ms 14592 KB Output is correct

Subtask #2
21.0 / 21.0

# Verdict Execution time Memory Grader output
1 Correct 10 ms 14720 KB Output is correct
2 Correct 9 ms 14592 KB Output is correct
3 Correct 9 ms 14592 KB Output is correct
4 Correct 9 ms 14592 KB Output is correct
5 Correct 10 ms 14592 KB Output is correct
6 Correct 9 ms 14592 KB Output is correct
7 Correct 9 ms 14592 KB Output is correct
8 Correct 9 ms 14592 KB Output is correct
9 Correct 9 ms 14592 KB Output is correct
10 Correct 9 ms 14592 KB Output is correct
11 Correct 9 ms 14592 KB Output is correct
12 Correct 9 ms 14592 KB Output is correct
13 Correct 12 ms 14592 KB Output is correct
14 Correct 9 ms 14592 KB Output is correct
15 Correct 9 ms 14592 KB Output is correct
16 Correct 9 ms 14592 KB Output is correct
17 Correct 9 ms 14592 KB Output is correct
18 Correct 11 ms 14592 KB Output is correct
19 Correct 10 ms 14592 KB Output is correct
20 Correct 9 ms 14592 KB Output is correct
21 Correct 10 ms 14512 KB Output is correct
22 Correct 9 ms 14592 KB Output is correct
23 Correct 11 ms 14976 KB Output is correct
24 Correct 12 ms 14976 KB Output is correct
25 Correct 12 ms 14976 KB Output is correct
26 Correct 12 ms 14976 KB Output is correct
27 Correct 12 ms 14976 KB Output is correct
28 Correct 12 ms 14976 KB Output is correct
29 Correct 12 ms 15104 KB Output is correct
30 Correct 12 ms 14976 KB Output is correct
31 Correct 11 ms 14976 KB Output is correct
32 Correct 11 ms 15104 KB Output is correct
33 Correct 11 ms 15104 KB Output is correct
34 Correct 11 ms 14976 KB Output is correct
35 Correct 11 ms 14976 KB Output is correct
36 Correct 10 ms 14720 KB Output is correct
37 Correct 10 ms 14720 KB Output is correct
38 Correct 11 ms 15104 KB Output is correct
39 Correct 11 ms 14848 KB Output is correct
40 Correct 11 ms 14976 KB Output is correct
41 Correct 11 ms 14848 KB Output is correct
42 Correct 10 ms 14848 KB Output is correct
43 Correct 11 ms 14976 KB Output is correct
44 Correct 11 ms 14848 KB Output is correct

Subtask #3
65.0 / 65.0

# Verdict Execution time Memory Grader output
1 Correct 10 ms 14720 KB Output is correct
2 Correct 9 ms 14592 KB Output is correct
3 Correct 9 ms 14592 KB Output is correct
4 Correct 9 ms 14592 KB Output is correct
5 Correct 10 ms 14592 KB Output is correct
6 Correct 9 ms 14592 KB Output is correct
7 Correct 9 ms 14592 KB Output is correct
8 Correct 9 ms 14592 KB Output is correct
9 Correct 9 ms 14592 KB Output is correct
10 Correct 9 ms 14592 KB Output is correct
11 Correct 9 ms 14592 KB Output is correct
12 Correct 9 ms 14592 KB Output is correct
13 Correct 12 ms 14592 KB Output is correct
14 Correct 9 ms 14592 KB Output is correct
15 Correct 9 ms 14592 KB Output is correct
16 Correct 9 ms 14592 KB Output is correct
17 Correct 9 ms 14592 KB Output is correct
18 Correct 11 ms 14592 KB Output is correct
19 Correct 10 ms 14592 KB Output is correct
20 Correct 9 ms 14592 KB Output is correct
21 Correct 10 ms 14512 KB Output is correct
22 Correct 9 ms 14592 KB Output is correct
23 Correct 11 ms 14976 KB Output is correct
24 Correct 12 ms 14976 KB Output is correct
25 Correct 12 ms 14976 KB Output is correct
26 Correct 12 ms 14976 KB Output is correct
27 Correct 12 ms 14976 KB Output is correct
28 Correct 12 ms 14976 KB Output is correct
29 Correct 12 ms 15104 KB Output is correct
30 Correct 12 ms 14976 KB Output is correct
31 Correct 11 ms 14976 KB Output is correct
32 Correct 11 ms 15104 KB Output is correct
33 Correct 11 ms 15104 KB Output is correct
34 Correct 11 ms 14976 KB Output is correct
35 Correct 11 ms 14976 KB Output is correct
36 Correct 10 ms 14720 KB Output is correct
37 Correct 10 ms 14720 KB Output is correct
38 Correct 11 ms 15104 KB Output is correct
39 Correct 11 ms 14848 KB Output is correct
40 Correct 11 ms 14976 KB Output is correct
41 Correct 11 ms 14848 KB Output is correct
42 Correct 10 ms 14848 KB Output is correct
43 Correct 11 ms 14976 KB Output is correct
44 Correct 11 ms 14848 KB Output is correct
45 Correct 633 ms 64428 KB Output is correct
46 Correct 615 ms 63904 KB Output is correct
47 Correct 618 ms 63352 KB Output is correct
48 Correct 664 ms 64248 KB Output is correct
49 Correct 604 ms 62968 KB Output is correct
50 Correct 624 ms 62968 KB Output is correct
51 Correct 640 ms 62968 KB Output is correct
52 Correct 692 ms 64120 KB Output is correct
53 Correct 612 ms 64120 KB Output is correct
54 Correct 540 ms 74872 KB Output is correct
55 Correct 513 ms 71292 KB Output is correct
56 Correct 520 ms 69668 KB Output is correct
57 Correct 496 ms 68164 KB Output is correct
58 Correct 189 ms 34936 KB Output is correct
59 Correct 181 ms 34936 KB Output is correct
60 Correct 291 ms 79224 KB Output is correct
61 Correct 325 ms 52088 KB Output is correct
62 Correct 477 ms 67448 KB Output is correct
63 Correct 288 ms 47736 KB Output is correct
64 Correct 318 ms 51004 KB Output is correct
65 Correct 537 ms 67892 KB Output is correct
66 Correct 324 ms 47352 KB Output is correct