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Submission #399338

# Submission time Handle Problem Language Result Execution time Memory
399338 2021-05-05T15:28:19 Z 12tqian Worst Reporter 4 (JOI21_worst_reporter4) C++17
14 / 100
 2000 ms 19552 KB 
#include <bits/stdc++.h>

using namespace std;

#define f1r(i, a, b) for (int i = a; i < b; ++i)
#define f0r(i, a) f1r(i, 0, a)
#define each(t, a) for (auto& t : a)

#define mp make_pair
#define f first
#define s second
#define pb push_back
#define eb emplace_back
#define sz(x) (int)(x).size()
#define all(x) begin(x), end(x)

typedef long long ll;
typedef vector<int> vi;
typedef vector<ll> vl;
typedef pair<int, int> pi;
typedef pair<ll, ll> pl;
typedef vector<pi> vpi;
typedef vector<pl> vpl;

template <class T> bool ckmin(T& a, const T& b) { return b < a ? a = b, 1 : 0; }
template <class T> bool ckmax(T& a, const T& b) { return a < b ? a = b, 1 : 0; }

template <class T> int get_pos(vector<T> v, T x) {
    return lower_bound(all(v), x) - v.begin();
}

const int N = 2e5 + 5;

struct DSU {
    vi e;
    
    void init(int n) {
        e = vi(n, -1);
    }

    int get(int x) {
        return e[x] < 0 ? x : e[x] = get(e[x]);
    }

    int size(int x) {
        return -e[get(x)];
    }

    bool unite(int x, int y) {
        x = get(x), y = get(y);
        if (x == y) return false;
        if (e[x] > e[y]) swap(x, y);
        e[x] += e[y]; e[y] = x;
        return true;
    }
};

map<int, ll> dp[N];

bool vis[N];
bool cyc[N]; // in cycle

int main() {
    cin.tie(0)->sync_with_stdio(0);
    int n; cin >> n;
    vi a(n);
    vi h(n);
    vl c(n);
    vi tmp;
    f0r(i, n) {
        cin >> a[i] >> h[i] >> c[i];
        --a[i];
        tmp.pb(h[i]);
    }
    sort(all(tmp));
    tmp.erase(unique(all(tmp)), tmp.end());
    f0r(i, n) h[i] = get_pos(tmp, h[i]);
    f0r(i, n) h[i] = sz(tmp) - 1 - h[i];
    DSU D; D.init(n);
    f0r(i, n) {
        if (vis[i]) continue;
        int cur = i;
        vi path;
        while (!vis[cur]) {
            vis[cur] = true;
            path.pb(cur);
            cur = a[cur];
        }
        int loc = -1;
        f0r(i, sz(path)) {
            if (path[i] == cur) {
                loc = i;
                break;
            }
        }
        if (loc == -1) continue;
        f1r(i, loc, sz(path)) {
            cyc[path[i]] = true;
            D.unite(cur, path[i]);
        }
    }
    vi v;
    f0r(i, n) v.pb(D.get(i));
    sort(all(v));
    v.erase(unique(all(v)), v.end());
    vi id(n);
    f0r(i, n) id[i] = get_pos(v, D.get(i));
    int sz = sz(v);
    vector<vi> comps(sz);
    f0r(i, n) {
        comps[id[i]].pb(i);
    }
    vi roots;
    each(x, v) {
        if (cyc[comps[get_pos(v, x)][0]]) {
            roots.pb(get_pos(v, x));
        }
    }
    vector<vi> g(sz);
    f0r(i, n) {
        int x = id[i];
        int y = id[a[i]];
        if (x == y) continue;
        g[x].pb(y);
        g[y].pb(x);
    }
    // f0r(i, n) {
    //     cout << i + 1 << " " << h[i] << endl;
    // }
    ll ans = 0;
    each(r, roots) {
        function<void(int, int)> dfs = [&](int u, int p) {
            each(v, g[u]) {
                if (v == p) continue;
                dfs(v, u);
                if (sz(dp[v]) > sz(dp[u])) swap(dp[u], dp[v]);
                each(x, dp[v]) {
                    dp[u][x.f] += x.s;
                }
            } 
            // add the root
            auto& st = dp[u];
            if (u == r) {
                // cout << sz(st) << endl;
                auto it = st.begin();
                while (it != st.end()) {
                    if (it != st.begin()) {
                        it->s += prev(it)->s;
                    }
                    it = next(it);
                }
                map<int, ll> cost;
                each(vert, comps[u]) {
                    cost[h[vert]] += c[vert];
                }
                ll mx = 0;
                if (sz(st)) mx = st.rbegin()->s;
                each(vert, cost) {
                    int d = vert.f;
                    ll v = vert.s;
                    it = st.upper_bound(d);
                    if (it != st.begin()) {
                        ckmax(mx, prev(it)->s + v);
                    }
                    ckmax(mx, v);
                }
                ans += mx;
            } else {
                int vert = comps[u][0];
                int d = h[vert];
                ll v = c[vert];
                st[d] += v;
                auto it = st.upper_bound(d);
                while (it != st.end() && v) {
                    ll rem = min(v, it->s);
                    it->s -= rem;
                    v -= rem;
                    if (it->s == 0) {
                        it = next(it);
                        st.erase(prev(it));
                    }
                }
            }
            // cout << u + 1 << endl;
            // each(x, st) {
            //     cout << x.f << " | " << x.s << endl;
            // }
            // cout << "--------" << endl;
        };
        dfs(r, -1);
    }
    ll sum = 0;
    f0r(i, n) sum += c[i];
    ans = sum - ans;
    cout << ans << '\n';
    return 0;
}

/**
 * goes to a[i]
 * maximize the cost if decreasing subsequences up the tree
 * let's consider the cycle at the very end
 * then there is a cost associated with each possible value at the top
 * and a cost associated with nothing
 * first consider the case of fixed
 * things decrease from the root
 * this means that in increasing order it's better
 */

Subtask #1
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 6 ms 9676 KB Output is correct
2 Correct 6 ms 9684 KB Output is correct
3 Correct 6 ms 9676 KB Output is correct
4 Correct 6 ms 9676 KB Output is correct
5 Correct 27 ms 11452 KB Output is correct
6 Correct 21 ms 11060 KB Output is correct
7 Correct 20 ms 10828 KB Output is correct
8 Correct 27 ms 11540 KB Output is correct
9 Correct 22 ms 11064 KB Output is correct
10 Correct 20 ms 10800 KB Output is correct
11 Correct 19 ms 10668 KB Output is correct
12 Correct 25 ms 11572 KB Output is correct
13 Correct 19 ms 11596 KB Output is correct
14 Correct 24 ms 11084 KB Output is correct
15 Correct 20 ms 11084 KB Output is correct
16 Correct 28 ms 11836 KB Output is correct
17 Correct 22 ms 11188 KB Output is correct
18 Correct 20 ms 10696 KB Output is correct
19 Correct 26 ms 11336 KB Output is correct
20 Correct 20 ms 11212 KB Output is correct
21 Correct 20 ms 11192 KB Output is correct
22 Correct 25 ms 11184 KB Output is correct
23 Correct 19 ms 10828 KB Output is correct
24 Correct 26 ms 11340 KB Output is correct
25 Correct 20 ms 11212 KB Output is correct
26 Correct 24 ms 11636 KB Output is correct
27 Correct 25 ms 11304 KB Output is correct
28 Correct 25 ms 11428 KB Output is correct
29 Correct 26 ms 11696 KB Output is correct
30 Correct 26 ms 11564 KB Output is correct
31 Correct 25 ms 11540 KB Output is correct

Subtask #2
0 / 65.0

# Verdict Execution time Memory Grader output
1 Correct 27 ms 11468 KB Output is correct
2 Execution timed out 2084 ms 19552 KB Time limit exceeded
3 Halted 0 ms 0 KB -

Subtask #3
0 / 21.0

# Verdict Execution time Memory Grader output
1 Correct 6 ms 9676 KB Output is correct
2 Correct 6 ms 9684 KB Output is correct
3 Correct 6 ms 9676 KB Output is correct
4 Correct 6 ms 9676 KB Output is correct
5 Correct 27 ms 11452 KB Output is correct
6 Correct 21 ms 11060 KB Output is correct
7 Correct 20 ms 10828 KB Output is correct
8 Correct 27 ms 11540 KB Output is correct
9 Correct 22 ms 11064 KB Output is correct
10 Correct 20 ms 10800 KB Output is correct
11 Correct 19 ms 10668 KB Output is correct
12 Correct 25 ms 11572 KB Output is correct
13 Correct 19 ms 11596 KB Output is correct
14 Correct 24 ms 11084 KB Output is correct
15 Correct 20 ms 11084 KB Output is correct
16 Correct 28 ms 11836 KB Output is correct
17 Correct 22 ms 11188 KB Output is correct
18 Correct 20 ms 10696 KB Output is correct
19 Correct 26 ms 11336 KB Output is correct
20 Correct 20 ms 11212 KB Output is correct
21 Correct 20 ms 11192 KB Output is correct
22 Correct 25 ms 11184 KB Output is correct
23 Correct 19 ms 10828 KB Output is correct
24 Correct 26 ms 11340 KB Output is correct
25 Correct 20 ms 11212 KB Output is correct
26 Correct 24 ms 11636 KB Output is correct
27 Correct 25 ms 11304 KB Output is correct
28 Correct 25 ms 11428 KB Output is correct
29 Correct 26 ms 11696 KB Output is correct
30 Correct 26 ms 11564 KB Output is correct
31 Correct 25 ms 11540 KB Output is correct
32 Correct 27 ms 11468 KB Output is correct
33 Execution timed out 2084 ms 19552 KB Time limit exceeded
34 Halted 0 ms 0 KB -