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Submission #283481

# Submission time Handle Problem Language Result Execution time Memory
283481 2020-08-25T20:15:05 Z doowey Magic Tree (CEOI19_magictree) C++14
34 / 100
 1162 ms 1048580 KB 
#include <bits/stdc++.h>

using namespace std;

typedef long long ll;
typedef pair<int, ll> pii;

#define fi first
#define se second
#define mp make_pair
#define fastIO ios::sync_with_stdio(false);cin.tie(0);cout.tie(0);

const int N = (int)1e5 + 10;
vector<int> T[N];

struct Node{
    ll val;
    ll lazy;
};

Node G[N * 4 + 512];

void push(int node, int cl, int cr){
    G[node].val += G[node].lazy;
    if(cl != cr){
        G[node * 2].lazy += G[node].lazy;
        G[node * 2 + 1].lazy += G[node].lazy;
    }
    G[node].lazy = 0;
}

void upd(int node, int cl, int cr, int tl, int tr, ll v){
    push(node, cl, cr);
    if(cr < tl || cl > tr) return;
    if(cl >= tl && cr <= tr){
        G[node].lazy = v;
        push(node, cl, cr);
        return;
    }
    int mid = (cl + cr) / 2;
    upd(node * 2, cl, mid, tl, tr, v);
    upd(node * 2 + 1, mid + 1, cr, tl, tr, v);
    G[node].val = max(G[node * 2].val, G[node * 2 + 1].val);
}

ll get(int node, int cl, int cr, int tl, int tr){
    push(node, cl, cr);
    if(cr < tl || cl > tr)
        return 0ll;
    if(cl >= tl && cr <= tr){
        return G[node].val;
    }
    int mid = (cl + cr) / 2;
    return max(get(node * 2, cl, mid, tl, tr), get(node * 2 + 1, mid + 1, cr, tl, tr));
}

int k;

int sub[N];

void dfs(int u){
    sub[u] = 1;
    for(auto x : T[u]){
        dfs(x);
        sub[u] += sub[x];
    }
}

set<int> ff[N];
set<pii> res[N];
int tr[N], ww[N];

struct R{
    int lef;
    int rig;
    ll ch;
};

vector<R> rev[N];

void dfs1(int u, bool keep){
    int id = -1;
    for(auto x : T[u]){
        if(id == -1 || sub[x] > sub[id])
            id = x;
    }
    for(auto x : T[u]){
        if(x != id){
            dfs1(x, false);
            for(auto y : ff[x]){
                ff[u].insert(y);
            }
            ff[x].clear();
        }
    }
    if(id != -1){
        dfs1(id, true);
        swap(ff[u], ff[id]);
        for(auto y : ff[id]){
            ff[u].insert(y);
        }
        ff[id].clear();
        swap(rev[u], rev[id]);
    }
    for(auto x : T[u]){
        if(x != id){
            int las = 0;
            ll cv = -1;
            for(auto y : res[x]){
                if(las != 0){
                    upd(1, 1, k, las, y.fi - 1, y.se);
                    rev[u].push_back({las, y.fi - 1, y.se});
                }
                las = y.fi;
                cv = y.se;
            }
            if(las != 0){
                upd(1, 1, k, las, k, cv);
                rev[u].push_back({las, k, cv});
            }
        }
    }
    if(tr[u] > 0){
        ff[u].insert(tr[u]);
        auto it = ff[u].lower_bound(tr[u]);
        ll upd_val = get(1, 1, k, tr[u], tr[u]) + ww[u];
        int en;
        ll cur;
        int st;
        while(it != ff[u].end()){
            st = (*it);
            cur = get(1, 1, k, st, st);
            if(upd_val > cur){
                auto nx = ff[u].erase(it);
                if(nx == ff[u].end())
                    en = k;
                else
                    en = (*nx) - 1;
                upd(1, 1, k, st, en, upd_val - cur);
                rev[u].push_back({st, en, upd_val - cur});
                it = nx;
            }
            else{
                break;
            }
        }
        ff[u].insert(tr[u]);
    }
    if(!keep){
        for(auto x : ff[u]){
            res[u].insert(mp(x, get(1, 1, k, x, x)));
        }
        for(auto f : rev[u]){
            upd(1, 1, k, f.lef, f.rig, -f.ch);
        }
        rev[u].clear();
    }
}

vector<ll> sol[N];

void brute(int x){
    sol[x].resize(k);
    for(auto p : T[x]){
        brute(p);
        for(int t = 0;t < k ;t ++ )
            sol[x][t] += sol[p][t];
    }
    if(tr[x] == 0) return;
    int ts = tr[x] - 1;
    ll vl = sol[x][ts] + ww[x];
    for(int j = ts; j < k ; j ++ ){
        sol[x][j] = max(sol[x][j], vl);
    }

}

int main(){
    fastIO;
    int n, m;
    cin >> n >> m >> k;
    int p;
    for(int i = 2; i <= n; i ++ ){
        cin >> p;
        T[p].push_back(i);
    }
    int id;
    for(int i = 1; i <= m ; i ++ ){
        cin >> id >> tr[id] >> ww[id];
    }
    dfs(1);
    dfs1(1, true);
    brute(1);
    cout << sol[1][k-1] << "\n";
    return 0;
}

Subtask #1
6.0 / 6.0

# Verdict Execution time Memory Grader output
1 Correct 11 ms 16768 KB Output is correct
2 Correct 11 ms 16768 KB Output is correct
3 Correct 11 ms 16768 KB Output is correct
4 Correct 11 ms 16768 KB Output is correct
5 Correct 11 ms 16768 KB Output is correct
6 Correct 12 ms 16768 KB Output is correct
7 Correct 11 ms 16768 KB Output is correct
8 Correct 11 ms 16768 KB Output is correct
9 Correct 11 ms 16768 KB Output is correct

Subtask #2
0 / 3.0

# Verdict Execution time Memory Grader output
1 Runtime error 1162 ms 1048580 KB Execution killed with signal 9
2 Halted 0 ms 0 KB -

Subtask #3
0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 20 ms 24832 KB Output is correct
2 Correct 20 ms 24832 KB Output is correct
3 Correct 20 ms 24832 KB Output is correct
4 Runtime error 735 ms 1048580 KB Execution killed with signal 9
5 Halted 0 ms 0 KB -

Subtask #4
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 189 ms 30200 KB Output is correct
2 Correct 166 ms 31224 KB Output is correct
3 Correct 129 ms 35312 KB Output is correct
4 Correct 90 ms 33132 KB Output is correct
5 Correct 97 ms 43364 KB Output is correct

Subtask #5
16.0 / 16.0

# Verdict Execution time Memory Grader output
1 Correct 11 ms 16768 KB Output is correct
2 Correct 11 ms 16768 KB Output is correct
3 Correct 11 ms 16768 KB Output is correct
4 Correct 11 ms 16768 KB Output is correct
5 Correct 11 ms 16768 KB Output is correct
6 Correct 12 ms 16768 KB Output is correct
7 Correct 11 ms 16768 KB Output is correct
8 Correct 11 ms 16768 KB Output is correct
9 Correct 11 ms 16768 KB Output is correct
10 Correct 308 ms 50040 KB Output is correct
11 Correct 270 ms 40440 KB Output is correct
12 Correct 178 ms 47592 KB Output is correct
13 Correct 126 ms 45420 KB Output is correct
14 Correct 135 ms 55396 KB Output is correct

Subtask #6
0 / 13.0

# Verdict Execution time Memory Grader output
1 Runtime error 648 ms 1048580 KB Execution killed with signal 9
2 Halted 0 ms 0 KB -

Subtask #7
0 / 22.0

# Verdict Execution time Memory Grader output
1 Correct 11 ms 16768 KB Output is correct
2 Correct 11 ms 16768 KB Output is correct
3 Correct 11 ms 16768 KB Output is correct
4 Correct 11 ms 16768 KB Output is correct
5 Correct 11 ms 16768 KB Output is correct
6 Correct 12 ms 16768 KB Output is correct
7 Correct 11 ms 16768 KB Output is correct
8 Correct 11 ms 16768 KB Output is correct
9 Correct 11 ms 16768 KB Output is correct
10 Correct 20 ms 24832 KB Output is correct
11 Correct 20 ms 24832 KB Output is correct
12 Correct 20 ms 24832 KB Output is correct
13 Runtime error 735 ms 1048580 KB Execution killed with signal 9
14 Halted 0 ms 0 KB -

Subtask #8
0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 11 ms 16768 KB Output is correct
2 Correct 11 ms 16768 KB Output is correct
3 Correct 11 ms 16768 KB Output is correct
4 Correct 11 ms 16768 KB Output is correct
5 Correct 11 ms 16768 KB Output is correct
6 Correct 12 ms 16768 KB Output is correct
7 Correct 11 ms 16768 KB Output is correct
8 Correct 11 ms 16768 KB Output is correct
9 Correct 11 ms 16768 KB Output is correct
10 Runtime error 1162 ms 1048580 KB Execution killed with signal 9
11 Halted 0 ms 0 KB -