oj.uz

Submission #726060

# Submission time Handle Problem Language Result Execution time Memory
726060 2023-04-18T12:05:31 Z piOOE Worst Reporter 4 (JOI21_worst_reporter4) C++17
14 / 100
 2000 ms 501612 KB 
#include <bits/stdc++.h>

using namespace std;
using ll = long long;

constexpr int N_ = 8e5 * 20 * 2 + 1;
int top = 1;

struct Node {
    ll sum = 0, mxp = 0;
    int left = 0, right = 0;
} t[N_];

int create() {
    return top++;
}

void pull(int x) {
    int l = t[x].left, r = t[x].right;
    t[x].sum = t[l].sum + t[r].sum;
    t[x].mxp = max(t[l].mxp, t[l].sum + t[r].mxp);
}

void modify(int x, int lx, int rx, int i, ll d) {
    if (lx == i && rx == i + 1) {
        t[x].sum += d;
        t[x].mxp = max(t[x].sum, 0LL);
        return;
    }

    int mid = (lx + rx) >> 1;

    if (i < mid) {
        if (t[x].left == 0) {
            t[x].left = create();
        }
        modify(t[x].left, lx, mid, i, d);
    } else {
        if (t[x].right == 0) {
            t[x].right = create();
        }
        modify(t[x].right, mid, rx, i, d);
    }

    pull(x);
}

constexpr int N = 2e5 + 1;

vector<int> adj[N], inside[N];

int fa[N], n;

void initFa() {
    iota(fa, fa + n + 1, 0);
    for (int i = 0; i < n; ++i) {
        inside[i] = {i};
    }
}

int leader(int x) {
    while (x != fa[x]) {
        x = fa[x] = fa[fa[x]];
    }
    return x;
}

void unite(int x, int y) {
    x = leader(x), y = leader(y);
    if (x == y) {
        return;
    }

    if (inside[x].size() < inside[y].size()) {
        swap(inside[x], inside[y]);
    }
    inside[x].insert(inside[x].end(), inside[y].begin(), inside[y].end());
    inside[y].clear();

    fa[y] = x;
}

int yy[N], h[N], H[N], C[N], siz[N], root[N];
int m = 0;

pair<ll, ll> getBest(int x, int i) {
    int lx = 0, rx = m;
    ll ans = 0, sum = 0;
    while (lx + 1 < rx) {
        int mid = lx + rx >> 1;
        if (i < mid) {
            ans = max(ans, t[t[x].right].mxp + t[t[x].left].sum + sum);
            rx = mid;
            x = t[x].left;
        } else {
            sum += t[t[x].left].sum;
            lx = mid;
            x = t[x].right;
        }
    }
    sum += t[x].sum;
    ans = max(ans, sum);
    return {ans, sum};
}

void modify(int x, int l, int r, ll d) {
    if (l < m) {
        modify(x, 0, m, l, d);
    }
    if (r < m) {
        modify(x, 0, m, r, -d);
    }
}

void addDP(int x, int i, ll dp) {
    auto [ans, sum] = getBest(x, i);
    ans += dp;
    assert(ans >= sum);
    modify(x, i, i + 1, ans - sum);
}


void upd(int x, int i) {
    addDP(x, i, 0);
}

void dfs(int v) {
    sort(inside[v].begin(), inside[v].end(), [&](int i, int j) {
        return H[i] < H[j];
    });

    vector<int> ours = inside[v];

    siz[v] = inside[v].size();

    for (int to: adj[v]) {
        dfs(to);
        siz[v] += siz[to];
    }

    sort(adj[v].begin(), adj[v].end(), [&](int x, int y) {
        return siz[x] > siz[y];
    });

    if (adj[v].empty()) {
        root[v] = create();
    } else {
        root[v] = root[adj[v][0]];
        unite(v, adj[v][0]);
    }

//    for (int i = 0; i < m; ++i) {
//        upd(root[v], i);
//    }

//    if (v == 3) {
//        cout << "as" << endl;
//    }

    auto fuck = [&](int l, int r, ll dp) {
        upd(root[v], l);
        upd(root[v], r - 1);
        modify(root[v], l, r, dp);
    };

    for (int i = 1; i < adj[v].size(); ++i) {
        int to = adj[v][i];

//        if (v == 0) {
//            cout << "here" << endl;
//        }

        sort(inside[to].begin(), inside[to].end(), [&](int x, int y) {
            return H[x] < H[y];
        });

        for (int x = 0; x < inside[to].size(); ++x) {
            int l = x == 0 ? 0 : h[inside[to][x - 1]] + 1;
            int r = h[inside[to][x]] + 1;
            ll dp = getBest(root[to], h[inside[to][x]]).first;
            fuck(l, r, dp);
        }

        unite(v, to);
    }

    for (int i = 0, j = 0; i < ours.size(); i = j) {
        ll sum = 0;
        while (j < ours.size() && H[ours[i]] == H[ours[j]]) {
            sum += C[ours[j]];
            j += 1;
        }
        addDP(root[v], h[ours[i]], sum);
    }

//    for (int i = 0; i < m; ++i) {
//        upd(root[v], i);
//    }
}

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

    cin >> n;

    vector<int> p(n);

    for (int i = 0; i < n; ++i) {
        cin >> p[i] >> H[i] >> C[i];
        p[i] -= 1;
    }

    copy(H, H + n, yy);

    sort(yy, yy + n);
    m = unique(yy, yy + n) - yy;

    for (int i = 0; i < n; ++i) {
        h[i] = lower_bound(yy, yy + m, H[i]) - yy;
    }

    vector<int> used(n);
    initFa();
    int T = 0;

    for (int i = 0; i < n; ++i) {
        if (used[i]) {
            continue;
        }

        int x = i;
        ++T;
        vector<int> now;

        while (!used[x]) {
            now.push_back(x);
            used[x] = T;
            x = p[x];
        }

        if (used[x] == T) {
            int y = p[x];
            while (y != x) {
                unite(x, y);
                y = p[y];
            }
        }
    }

    for (int i = 0; i < n; ++i) {
        if (leader(i) == i) {
            int x = leader(p[i]);
            if (x == i) {
                adj[n].push_back(i);
//                cout << n << "->" << i << endl;
            } else {
                adj[x].push_back(i);
//                cout << x << "->" << i << endl;
            }
        }
    }

    dfs(n);

    ll ans = getBest(root[n], 0).first;

    ans = accumulate(C, C + n, 0LL) - ans;

    cout << ans << '\n';


    return 0;
}

Compilation message

worst_reporter2.cpp: In function 'std::pair<long long int, long long int> getBest(int, int)':
worst_reporter2.cpp:90:22: warning: suggest parentheses around '+' inside '>>' [-Wparentheses]
   90 |         int mid = lx + rx >> 1;
      |                   ~~~^~~~
worst_reporter2.cpp: In function 'void dfs(int)':
worst_reporter2.cpp:166:23: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  166 |     for (int i = 1; i < adj[v].size(); ++i) {
      |                     ~~^~~~~~~~~~~~~~~
worst_reporter2.cpp:177:27: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  177 |         for (int x = 0; x < inside[to].size(); ++x) {
      |                         ~~^~~~~~~~~~~~~~~~~~~
worst_reporter2.cpp:187:30: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  187 |     for (int i = 0, j = 0; i < ours.size(); i = j) {
      |                            ~~^~~~~~~~~~~~~
worst_reporter2.cpp:189:18: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  189 |         while (j < ours.size() && H[ours[i]] == H[ours[j]]) {
      |                ~~^~~~~~~~~~~~~

Subtask #1
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 9684 KB Output is correct
2 Correct 5 ms 9700 KB Output is correct
3 Correct 5 ms 9740 KB Output is correct
4 Correct 6 ms 9764 KB Output is correct
5 Correct 26 ms 14164 KB Output is correct
6 Correct 18 ms 11708 KB Output is correct
7 Correct 13 ms 10816 KB Output is correct
8 Correct 30 ms 14284 KB Output is correct
9 Correct 17 ms 11732 KB Output is correct
10 Correct 13 ms 10760 KB Output is correct
11 Correct 9 ms 10324 KB Output is correct
12 Correct 10 ms 11404 KB Output is correct
13 Correct 9 ms 11092 KB Output is correct
14 Correct 12 ms 11092 KB Output is correct
15 Correct 10 ms 10708 KB Output is correct
16 Correct 35 ms 16600 KB Output is correct
17 Correct 21 ms 12360 KB Output is correct
18 Correct 9 ms 10368 KB Output is correct
19 Correct 13 ms 11716 KB Output is correct
20 Correct 10 ms 11176 KB Output is correct
21 Correct 8 ms 10836 KB Output is correct
22 Correct 14 ms 12156 KB Output is correct
23 Correct 11 ms 11292 KB Output is correct
24 Correct 12 ms 11732 KB Output is correct
25 Correct 9 ms 11220 KB Output is correct
26 Correct 10 ms 11348 KB Output is correct
27 Correct 13 ms 11860 KB Output is correct
28 Correct 12 ms 11584 KB Output is correct
29 Correct 13 ms 11464 KB Output is correct
30 Correct 12 ms 10964 KB Output is correct
31 Correct 12 ms 11092 KB Output is correct

Subtask #2
0 / 65.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 9684 KB Output is correct
2 Correct 5 ms 9700 KB Output is correct
3 Correct 5 ms 9740 KB Output is correct
4 Correct 6 ms 9764 KB Output is correct
5 Correct 26 ms 14164 KB Output is correct
6 Correct 18 ms 11708 KB Output is correct
7 Correct 13 ms 10816 KB Output is correct
8 Correct 30 ms 14284 KB Output is correct
9 Correct 17 ms 11732 KB Output is correct
10 Correct 13 ms 10760 KB Output is correct
11 Correct 9 ms 10324 KB Output is correct
12 Correct 10 ms 11404 KB Output is correct
13 Correct 9 ms 11092 KB Output is correct
14 Correct 12 ms 11092 KB Output is correct
15 Correct 10 ms 10708 KB Output is correct
16 Correct 35 ms 16600 KB Output is correct
17 Correct 21 ms 12360 KB Output is correct
18 Correct 9 ms 10368 KB Output is correct
19 Correct 13 ms 11716 KB Output is correct
20 Correct 10 ms 11176 KB Output is correct
21 Correct 8 ms 10836 KB Output is correct
22 Correct 14 ms 12156 KB Output is correct
23 Correct 11 ms 11292 KB Output is correct
24 Correct 12 ms 11732 KB Output is correct
25 Correct 9 ms 11220 KB Output is correct
26 Correct 10 ms 11348 KB Output is correct
27 Correct 13 ms 11860 KB Output is correct
28 Correct 12 ms 11584 KB Output is correct
29 Correct 13 ms 11464 KB Output is correct
30 Correct 12 ms 10964 KB Output is correct
31 Correct 12 ms 11092 KB Output is correct
32 Correct 26 ms 14108 KB Output is correct
33 Correct 1533 ms 329344 KB Output is correct
34 Correct 881 ms 141412 KB Output is correct
35 Correct 1505 ms 322168 KB Output is correct
36 Correct 934 ms 141820 KB Output is correct
37 Correct 344 ms 45404 KB Output is correct
38 Correct 210 ms 33404 KB Output is correct
39 Correct 304 ms 76156 KB Output is correct
40 Correct 178 ms 66840 KB Output is correct
41 Correct 133 ms 66764 KB Output is correct
42 Correct 393 ms 65912 KB Output is correct
43 Correct 236 ms 48668 KB Output is correct
44 Execution timed out 2103 ms 501612 KB Time limit exceeded
45 Halted 0 ms 0 KB -

Subtask #3
0 / 21.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 9684 KB Output is correct
2 Correct 5 ms 9700 KB Output is correct
3 Correct 5 ms 9740 KB Output is correct
4 Correct 6 ms 9764 KB Output is correct
5 Correct 26 ms 14164 KB Output is correct
6 Correct 18 ms 11708 KB Output is correct
7 Correct 13 ms 10816 KB Output is correct
8 Correct 30 ms 14284 KB Output is correct
9 Correct 17 ms 11732 KB Output is correct
10 Correct 13 ms 10760 KB Output is correct
11 Correct 9 ms 10324 KB Output is correct
12 Correct 10 ms 11404 KB Output is correct
13 Correct 9 ms 11092 KB Output is correct
14 Correct 12 ms 11092 KB Output is correct
15 Correct 10 ms 10708 KB Output is correct
16 Correct 35 ms 16600 KB Output is correct
17 Correct 21 ms 12360 KB Output is correct
18 Correct 9 ms 10368 KB Output is correct
19 Correct 13 ms 11716 KB Output is correct
20 Correct 10 ms 11176 KB Output is correct
21 Correct 8 ms 10836 KB Output is correct
22 Correct 14 ms 12156 KB Output is correct
23 Correct 11 ms 11292 KB Output is correct
24 Correct 12 ms 11732 KB Output is correct
25 Correct 9 ms 11220 KB Output is correct
26 Correct 10 ms 11348 KB Output is correct
27 Correct 13 ms 11860 KB Output is correct
28 Correct 12 ms 11584 KB Output is correct
29 Correct 13 ms 11464 KB Output is correct
30 Correct 12 ms 10964 KB Output is correct
31 Correct 12 ms 11092 KB Output is correct
32 Correct 26 ms 14108 KB Output is correct
33 Correct 1533 ms 329344 KB Output is correct
34 Correct 881 ms 141412 KB Output is correct
35 Correct 1505 ms 322168 KB Output is correct
36 Correct 934 ms 141820 KB Output is correct
37 Correct 344 ms 45404 KB Output is correct
38 Correct 210 ms 33404 KB Output is correct
39 Correct 304 ms 76156 KB Output is correct
40 Correct 178 ms 66840 KB Output is correct
41 Correct 133 ms 66764 KB Output is correct
42 Correct 393 ms 65912 KB Output is correct
43 Correct 236 ms 48668 KB Output is correct
44 Execution timed out 2103 ms 501612 KB Time limit exceeded
45 Halted 0 ms 0 KB -