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Submission #598495

# Submission time Handle Problem Language Result Execution time Memory
598495 2022-07-18T12:11:31 Z CaroLinda Paths (RMI21_paths) C++14
56 / 100
 600 ms 76632 KB 
#include <bits/stdc++.h>

//testing the quadratic

#define ll long long

const ll MAX_VAL = 1e14+10LL;
const int MAXN = 1e5+10;

using namespace std;

int N, K;
int par[MAXN];
ll prof[MAXN], mx[MAXN], ans[MAXN];
vector<pair<int,ll> > adj[MAXN];
bool used[MAXN];
ll edgParent[MAXN];
vector<ll> realVec;
vector<int> e, d;
vector<int> qtd;
vector<ll> soma;

int create(){
    e.push_back(0);
    d.push_back(0);
    qtd.push_back(0);
    soma.push_back(0);

    return e.size() - 1;
}

ll m(ll l, ll r){
    return (l+r)>>1LL;
}

void upd(int pos, ll l, ll r, ll id, int toSum){
    if(l == r){
        qtd[pos] += toSum;
        soma[pos] += l * toSum;
        return;
    }

    int aux;

    if(id <= m(l,r)){
        if(!e[pos]){
            aux = create();
            e[pos] = aux;
        }
        upd(e[pos],l,m(l,r), id, toSum);
    }
    else{
        if(!d[pos]){
            aux = create();
            d[pos] = aux;
        }
        upd(d[pos],m(l,r)+1, r, id, toSum);
    }

    soma[pos] = soma[e[pos]]+soma[d[pos]];
    qtd[pos] = qtd[e[pos]]+qtd[d[pos]];
}

ll dfs(int x){
    mx[x] = 0;

    for(auto &e: adj[x]){
        if(e.first == par[x])
            continue;

        par[e.first] = x;
        prof[e.first] = prof[x] + e.second;
        edgParent[e.first] = prof[x];

        ll curVal = dfs(e.first)+e.second;

        if(curVal > mx[x]){
            upd(1,0, MAX_VAL, mx[x], 1);
            mx[x] = curVal;
        }
        else upd(1,0,MAX_VAL, curVal, 1);
    }

    return mx[x];
}

ll getAnswer(int pos, ll l, ll r, int k){
    if(!k || !pos)
        return 0;

    if(qtd[pos] <= k)
        return soma[pos];

    if(l == r){
        return l * k;
    }

    if(qtd[d[pos]] >= k)
        return getAnswer(d[pos],m(l,r)+1, r, k);

    return getAnswer(e[pos], l, m(l,r), k-qtd[d[pos]])+soma[d[pos]];
}

void printSeg(int pos, ll l, ll r){
    if(!qtd[pos] || !pos)
        return;

    if(l == r)
        return (void)(cout << l << " " << qtd[pos]);

    printSeg(e[pos],l,m(l,r));
    printSeg(d[pos],m(l,r)+1, r);
}

void dfsReroot(int x, int antigo){
    int n = adj[x].size();

    vector<ll> pref(n+1, 0);
    vector<ll> suf(n+2, 0);

    for(int i = 0; i < n; i++){
        pref[i+1] = max(pref[i], mx[adj[x][i].first]+adj[x][i].second );
    }
    for(int i = n-1; i >= 0; i--){
        suf[i+1] = max(suf[i+2], mx[adj[x][i].first]+adj[x][i].second);
    }

    ans[x] = getAnswer(1,0,MAX_VAL,K);

    for(int i = 0; i < n; i++){
        int viz = adj[x][i].first;
        ll edgWeight = adj[x][i].second;

        if(viz == antigo) continue;

        ll novoMaior = max(pref[i], suf[i+2]);

        upd(1,0,MAX_VAL, novoMaior, -1);
        upd(1,0,MAX_VAL, novoMaior+edgWeight, 1);
        upd(1,0,MAX_VAL, mx[viz]+edgWeight, -1);
        upd(1,0,MAX_VAL, mx[viz], 1);

        mx[x] = novoMaior;
        ll savemx = mx[viz];

        dfsReroot(viz, x);

        mx[viz] = savemx;

        upd(1,0,MAX_VAL, novoMaior, 1);
        upd(1,0,MAX_VAL, novoMaior+edgWeight, -1);
        upd(1,0,MAX_VAL, mx[viz]+edgWeight, 1);
        upd(1,0,MAX_VAL, mx[viz], -1);
    }
}

int main(){
    ios_base::sync_with_stdio(false);
    cin.tie(0);

    cin >> N >> K;
    for(int i= 1, a, b, c; i < N; i++){
        cin >> a >> b >> c;

        adj[a].push_back(make_pair(b,c));
        adj[b].push_back(make_pair(a,c));
    }

    create();
    create();

    dfs(1);
    upd(1,0,MAX_VAL, mx[1],1);
    dfsReroot(1,-1);

    for(int i = 1; i <= N; i++)
        cout << ans[i] << "\n";
}

Subtask #1
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 2644 KB Output is correct
2 Correct 2 ms 2644 KB Output is correct

Subtask #2
11.0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 2644 KB Output is correct
2 Correct 2 ms 2644 KB Output is correct
3 Correct 3 ms 3028 KB Output is correct
4 Correct 4 ms 3156 KB Output is correct
5 Correct 3 ms 3028 KB Output is correct
6 Correct 3 ms 3156 KB Output is correct
7 Correct 3 ms 2828 KB Output is correct

Subtask #3
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 2644 KB Output is correct
2 Correct 2 ms 2644 KB Output is correct
3 Correct 3 ms 3028 KB Output is correct
4 Correct 4 ms 3156 KB Output is correct
5 Correct 3 ms 3028 KB Output is correct
6 Correct 3 ms 3156 KB Output is correct
7 Correct 3 ms 2828 KB Output is correct
8 Correct 9 ms 3796 KB Output is correct
9 Correct 8 ms 4072 KB Output is correct
10 Correct 10 ms 3976 KB Output is correct
11 Correct 10 ms 3800 KB Output is correct
12 Correct 7 ms 3284 KB Output is correct

Subtask #4
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 2644 KB Output is correct
2 Correct 2 ms 2644 KB Output is correct
3 Correct 3 ms 3028 KB Output is correct
4 Correct 4 ms 3156 KB Output is correct
5 Correct 3 ms 3028 KB Output is correct
6 Correct 3 ms 3156 KB Output is correct
7 Correct 3 ms 2828 KB Output is correct
8 Correct 9 ms 3796 KB Output is correct
9 Correct 8 ms 4072 KB Output is correct
10 Correct 10 ms 3976 KB Output is correct
11 Correct 10 ms 3800 KB Output is correct
12 Correct 7 ms 3284 KB Output is correct
13 Correct 14 ms 4796 KB Output is correct
14 Correct 18 ms 5252 KB Output is correct
15 Correct 15 ms 5096 KB Output is correct
16 Correct 15 ms 4792 KB Output is correct
17 Correct 12 ms 3668 KB Output is correct
18 Correct 12 ms 4744 KB Output is correct
19 Correct 18 ms 4816 KB Output is correct

Subtask #5
0 / 12.0

# Verdict Execution time Memory Grader output
1 Execution timed out 823 ms 76632 KB Time limit exceeded
2 Halted 0 ms 0 KB -

Subtask #6
0 / 32.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 2644 KB Output is correct
2 Correct 2 ms 2644 KB Output is correct
3 Correct 3 ms 3028 KB Output is correct
4 Correct 4 ms 3156 KB Output is correct
5 Correct 3 ms 3028 KB Output is correct
6 Correct 3 ms 3156 KB Output is correct
7 Correct 3 ms 2828 KB Output is correct
8 Correct 9 ms 3796 KB Output is correct
9 Correct 8 ms 4072 KB Output is correct
10 Correct 10 ms 3976 KB Output is correct
11 Correct 10 ms 3800 KB Output is correct
12 Correct 7 ms 3284 KB Output is correct
13 Correct 14 ms 4796 KB Output is correct
14 Correct 18 ms 5252 KB Output is correct
15 Correct 15 ms 5096 KB Output is correct
16 Correct 15 ms 4792 KB Output is correct
17 Correct 12 ms 3668 KB Output is correct
18 Correct 12 ms 4744 KB Output is correct
19 Correct 18 ms 4816 KB Output is correct
20 Execution timed out 823 ms 76632 KB Time limit exceeded
21 Halted 0 ms 0 KB -