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Submission #697522

# Submission time Handle Problem Language Result Execution time Memory
697522 2023-02-10T08:39:03 Z vuavisao Magic Tree (CEOI19_magictree) C++14
47 / 100
 68 ms 40368 KB 
#include<bits/stdc++.h>
#pragma GCC optimize("O3")
#pragma GCC optimize("unroll-loops")
#define ll long long
using namespace std;

const ll N = 1e5 + 10;

ll n, m, k;
vector<ll> g[N];

ll d[N], cost[N];
bool have[N];

namespace sub145 {
    bool check() {
        return (k <= 20);
    }

    ll dp[N][22];

    void dfs(ll u) {
        for(const auto& v : g[u]) {
            dfs(v);
            for(ll use = 0; use <= k; ++ use) {
                dp[u][use] += dp[v][use];
            }
        }
        if(have[u]) {
            dp[u][d[u]] += cost[u];
        }
        for(ll use = 1; use <= k; ++ use) dp[u][use] = max(dp[u][use], dp[u][use - 1]);
    }

    void solve() {
        dfs(1);
        cout << dp[1][k];
    }
}

namespace sub2 {
    bool check() {
        for(ll u = 1; u <= n; ++ u) {
            if(g[u].empty()) {
                if(!have[u]) return false;
            }
            else {
                if(have[u]) return false;
            }
        }
        return true;
    }

    void solve() {
        ll res = 0;
        for(ll u = 1; u <= n; ++ u) res += cost[u];
        cout << res;
    }
}

namespace sub3 {
    bool check() {
        for(ll u = 1; u < n; ++ u) {
            if((ll) g[u].size() != 1 || g[u][0] != u + 1) return false;
        }
        for(ll u = 1; u <= n; ++ u) {
            if(have[u]) {
                if(cost[u] != 1) return false;
            }
        }
        return true;
    }

    ll tree[N];

    void update(ll idx, ll val) {
        for( ; idx > 0; idx -= (idx & - idx)) tree[idx] = max(tree[idx], val);
    }

    ll query(ll idx) {
        ll res = 0;
        for( ; idx <= k; idx += (idx & - idx)) res = max(res, tree[idx]);
        return res;
    }

    void compress() {
        vector<ll> Pos = {};
        for(ll u = 1; u <= n; ++ u) {
            if(have[u]) {
                Pos.push_back(d[u]);
            }
        }
        sort(Pos.begin(), Pos.end());
        Pos.resize(unique(Pos.begin(), Pos.end()) - Pos.begin());
        for(ll u = 1; u <= n; ++ u) {
            if(have[u]) {
                d[u] = lower_bound(Pos.begin(), Pos.end(), d[u]) - Pos.begin() + 1;
            }
        }
        k = (ll) Pos.size();
    }

    void solve() {
        compress();
        for(ll u = n; u >= 1; -- u) {
            if(have[u]) {
                ll len = query(d[u]) + 1;
                update(d[u], len);
            }
        }
        cout << query(1);
    }
}

namespace sub6 {
    bool check() {
        return (m <= 1000);
    }

    ll Lg, parent[20][N], dist[N];
    ll cnt, in[N], out[N];

    ll suff_indices[N];
    ll dp[2010][1010];

    void dfs(ll u) {
        in[u] = ++ cnt;
        for(const auto& v : g[u]) {
            parent[0][v] = u;
            dist[v] = dist[u] + 1;
            dfs(v);
        }
        out[u] = cnt;
    }

    ll lca(ll u, ll v) {
        if(dist[u] < dist[v]) swap(u, v);
        ll delta = dist[u] - dist[v];
        for(ll i = Lg; i >= 0; -- i) {
            if(delta >> i & 1) {
                u = parent[i][u];
            }
        }
        if(u == v) return u;
        for(ll i = Lg; i >= 0; -- i) {
            if(parent[i][u] == parent[i][v]) continue;
            u = parent[i][u];
            v = parent[i][v];
        }
        return parent[0][u];
    }

    bool inside(ll u, ll v) {
        return (in[u] <= in[v] && out[v] <= out[u]);
    }

    void compress(const vector<ll>& indices) {
        vector<ll> Pos = indices;
        sort(Pos.begin(), Pos.end());
        for(const auto& u : indices) {
            ll idx = lower_bound(Pos.begin(), Pos.end(), u) - Pos.begin() + 1;
            suff_indices[u] = idx;
        }
        Pos.clear();
        for(ll u = 1; u <= n; ++ u) {
            if(have[u]) {
                Pos.push_back(d[u]);
            }
        }
        sort(Pos.begin(), Pos.end());
        for(ll u = 1; u <= n; ++ u) {
            if(have[u]) {
                ll idx = lower_bound(Pos.begin(), Pos.end(), d[u]) - Pos.begin() + 1;
                d[u] = idx;
            }
        }
        k = (ll) Pos.size();
    }

    void dfs_calc(ll u) {
        for(const auto& v : g[u]) {
            dfs_calc(v);
            for(ll use = 0; use <= k; ++ use) {
                dp[suff_indices[u]][use] += dp[suff_indices[v]][use];
            }
        }
        if(have[u]) {
            dp[suff_indices[u]][d[u]] += cost[u];
        }
        for(ll use = 1; use <= k; ++ use) dp[suff_indices[u]][use] = max(dp[suff_indices[u]][use], dp[suff_indices[u]][use - 1]);
    }

    void solve() {
        dist[1] = 1; dfs(1);
        Lg = __lg(n);
        for(ll j = 1; j <= Lg; ++ j) {
            for(ll i = 1; i <= n; ++ i) {
                parent[j][i] = parent[j - 1][parent[j - 1][i]];
            }
        }
        for(ll u = 1; u <= n; ++ u) g[u].clear();
        vector<ll> indices = {};
        for(ll u = 1; u <= n; ++ u) {
            if(have[u]) {
                indices.push_back(u);
            }
        }
        sort(indices.begin(), indices.end(), [&] (ll u, ll v) -> bool {
            return in[u] > in[v];
        });
        ll cnt = (ll) indices.size();
        for(ll i = 1; i < cnt; ++ i) indices.push_back(lca(indices[i - 1], indices[i]));
        sort(indices.begin(), indices.end(), [&] (ll u, ll v) -> bool {
            return in[u] > in[v];
        });
        indices.resize(unique(indices.begin(), indices.end()) - indices.begin());
        compress(indices);
        stack<ll> stk = {};
        for(const auto& u : indices) {
            while(!stk.empty() && inside(u, stk.top())) {
                ll v = stk.top(); stk.pop();
                g[u].push_back(v);
//                cout << u << ' ' << v << '\n';
            }
            stk.push(u);
        }
        dfs_calc(stk.top());
        cout << dp[suff_indices[stk.top()]][k];
    }
}

namespace sub7 {
    bool check() {
        for(ll u = 1; u <= n; ++ u) {
            if(have[u]) {
                if(cost[u] != 1) return false;
            }
        }
        return true;
    }

    multiset<ll> mst[N];
    ll res;

    void dfs(ll u) {
        ll big_child = - 1;
        for(const auto& v : g[u]) {
            dfs(v);
            if(big_child == - 1 || (ll) mst[v].size() > (ll) mst[big_child].size()) big_child = v;
        }
        if(big_child > - 1) {
            swap(mst[u], mst[big_child]);
        }
        for(const auto& v : g[u]) {
            if(v == big_child) continue;
            mst[u].insert(mst[v].begin(), mst[v].end());
        }
        if(have[u]) {
            auto psy = mst[u].upper_bound(d[u]);
            if(psy == mst[u].end()) {
                mst[u].insert(d[u]);
            }
            else {
                mst[u].erase(psy);
                mst[u].insert(d[u]);
            }
        }
        res = max(res, (ll) mst[u].size());
    }

    void solve() {
        dfs(1);
        cout << res;
    }
}

int32_t main() {
    ios_base::sync_with_stdio(0);
    cin.tie(0);
    cout.tie(0);
    if (fopen("CEOI19_MAGICTREE.inp", "r")) {
        freopen("CEOI19_MAGICTREE.inp", "r", stdin);
        freopen("CEOI19_MAGICTREE.out", "w", stdout);
    }
    cin >> n >> m >> k;
    for(ll v = 2; v <= n; ++ v) {
        ll u; cin >> u;
        g[u].push_back(v);
//        cout << u << ' ' << v << '\n';
    }
    for(ll i = 1; i <= m; ++ i) {
        ll u; cin >> u >> d[u] >> cost[u];
        have[u] = true;
    }
    if(sub145::check()) {
        sub145::solve();
        return 0;
    }
    if(sub2::check()) {
        sub2::solve();
        return 0;
    }
    if(sub3::check()) {
        sub3::solve();
        return 0;
    }
    if(sub6::check()) {
        sub6::solve();
        return 0;
    }
    if(sub7::check()) {
        sub7::solve();
        return 0;
    }
//    sub8::solve();
    return 0;
}

/// Code by vuavisao

Compilation message

magictree.cpp: In function 'int32_t main()':
magictree.cpp:282:16: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
  282 |         freopen("CEOI19_MAGICTREE.inp", "r", stdin);
      |         ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
magictree.cpp:283:16: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
  283 |         freopen("CEOI19_MAGICTREE.out", "w", stdout);
      |         ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Subtask #1
6.0 / 6.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 7380 KB Output is correct
2 Correct 4 ms 7380 KB Output is correct
3 Correct 3 ms 7380 KB Output is correct
4 Correct 3 ms 7380 KB Output is correct
5 Correct 3 ms 7380 KB Output is correct
6 Correct 4 ms 7380 KB Output is correct
7 Correct 4 ms 7380 KB Output is correct
8 Correct 4 ms 7380 KB Output is correct
9 Correct 3 ms 7380 KB Output is correct

Subtask #2
0 / 3.0

# Verdict Execution time Memory Grader output
1 Incorrect 24 ms 10708 KB Output isn't correct
2 Halted 0 ms 0 KB -

Subtask #3
0 / 11.0

# Verdict Execution time Memory Grader output
1 Incorrect 6 ms 7448 KB Output isn't correct
2 Halted 0 ms 0 KB -

Subtask #4
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 68 ms 28112 KB Output is correct
2 Correct 68 ms 28048 KB Output is correct
3 Correct 52 ms 30684 KB Output is correct
4 Correct 35 ms 27088 KB Output is correct
5 Correct 45 ms 34068 KB Output is correct

Subtask #5
16.0 / 16.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 7380 KB Output is correct
2 Correct 4 ms 7380 KB Output is correct
3 Correct 3 ms 7380 KB Output is correct
4 Correct 3 ms 7380 KB Output is correct
5 Correct 3 ms 7380 KB Output is correct
6 Correct 4 ms 7380 KB Output is correct
7 Correct 4 ms 7380 KB Output is correct
8 Correct 4 ms 7380 KB Output is correct
9 Correct 3 ms 7380 KB Output is correct
10 Correct 66 ms 28000 KB Output is correct
11 Correct 67 ms 28056 KB Output is correct
12 Correct 52 ms 30680 KB Output is correct
13 Correct 42 ms 27120 KB Output is correct
14 Correct 43 ms 33960 KB Output is correct

Subtask #6
13.0 / 13.0

# Verdict Execution time Memory Grader output
1 Correct 18 ms 20800 KB Output is correct
2 Correct 40 ms 37048 KB Output is correct
3 Correct 41 ms 37044 KB Output is correct
4 Correct 46 ms 40016 KB Output is correct
5 Correct 25 ms 34180 KB Output is correct
6 Correct 40 ms 40368 KB Output is correct
7 Correct 36 ms 38604 KB Output is correct

Subtask #7
0 / 22.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 7380 KB Output is correct
2 Correct 4 ms 7380 KB Output is correct
3 Correct 3 ms 7380 KB Output is correct
4 Correct 3 ms 7380 KB Output is correct
5 Correct 3 ms 7380 KB Output is correct
6 Correct 4 ms 7380 KB Output is correct
7 Correct 4 ms 7380 KB Output is correct
8 Correct 4 ms 7380 KB Output is correct
9 Correct 3 ms 7380 KB Output is correct
10 Incorrect 6 ms 7448 KB Output isn't correct
11 Halted 0 ms 0 KB -

Subtask #8
0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 7380 KB Output is correct
2 Correct 4 ms 7380 KB Output is correct
3 Correct 3 ms 7380 KB Output is correct
4 Correct 3 ms 7380 KB Output is correct
5 Correct 3 ms 7380 KB Output is correct
6 Correct 4 ms 7380 KB Output is correct
7 Correct 4 ms 7380 KB Output is correct
8 Correct 4 ms 7380 KB Output is correct
9 Correct 3 ms 7380 KB Output is correct
10 Incorrect 24 ms 10708 KB Output isn't correct
11 Halted 0 ms 0 KB -