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Submission #769514

# Submission time Handle Problem Language Result Execution time Memory
769514 2023-06-29T17:16:47 Z vjudge1 Paths (RMI21_paths) C++17
36 / 100
 600 ms 16872 KB 
#include <bits/stdc++.h>

using namespace std;

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

#define pb push_back
#define ss second
#define ff first
#define all(x) (x).begin(), (x).end()

const int nax = 1e5 + 4;
int n, k, sz = 1;
vector<pii> adj[nax];
vector<pll> st;
vector<ll> lazy;
ll d[nax];
int dpar[nax];
int par[nax], vis[nax], eul[nax], endeul[nax], cor[nax];
int cureul = -1;
void dfs(int x, ll curd, int p)
{
    par[x] = p;
    d[x] = curd;
    dpar[x] = curd - d[p];
    vis[x] = 0;
    eul[x] = ++cureul;
    cor[cureul] = x;
    for(auto e: adj[x])
    {
        if(e.ff == p)
            continue;
        dfs(e.ff, curd + e.ss, x);
    }
    endeul[x] = cureul;
}
void build(int p, int l, int r)
{
    if(l == r)
    {
        st[p] = {d[cor[l]], cor[l]};
        lazy[p] = 0ll;
        return ;
    }
    build(2 * p, l, (l + r)/2);
    build(2 * p + 1, (l + r)/2  + 1, r);
    st[p] = max(st[2 * p], st[2 * p + 1]);
    lazy[p] = 0ll;
}
void propagate(int p, int l, int r)
{
    if(lazy[p])
    {
        if(l != r)
        {
            lazy[2 * p] += lazy[p];
            lazy[2 * p + 1] += lazy[p];
        }
        st[p].ff += lazy[p];
        lazy[p] = 0ll;
    }
}
void update(int p, int l, int r, int i, int j, ll val)
{
    propagate(p, l, r);
    if(i > j)
        return ;
    if(l >= i && r <= j)
    {
        lazy[p] += val;
        propagate(p, l, r);
        return ;
    }
    int m = (l + r)/2;
    update(2 * p, l, m, i, min(j, m), val);
    update(2 * p + 1, m + 1, r, max(i, m + 1), j, val);
    pll a ={st[2 * p].ff + lazy[2 * p], st[2 * p].ss} ;
    pll b ={st[2 * p + 1].ff + lazy[2 * p + 1], st[2 * p + 1].ss};
    st[p] = max(a,b);
    return ;
}
pll query(int p, int l, int r, int i, int j)
{
    propagate(p, l, r);
    if(i > j)
        return {0ll, 0ll};
    if(l >= i && r <= j)
        return st[p];
    int m = (l + r)/2;
    return max(query(2 * p, l, m, i, min(j, m)),
               query(2 * p + 1, m + 1, r, max(i, m + 1), j));
}
void solve()
{
    cin >> n >> k;
    for(int i=  1; i < n; i++)
    {
        int a, b;
        cin >> a >> b;
        ll c; cin >> c;
        adj[a].pb({b, c});
        adj[b].pb({a, c});
    }
    dfs(1, 0, 0);
    while(sz < n)
        sz = (sz << 1);
    lazy.assign(2 * sz + 1, 0);
    st.assign(2 * sz + 1, {0, 0});
    build(1, 0, sz - 1);
    for(int root = 1; root <= n; root++)
    {

        if(k > 1)
        {
            cureul = -1;
            dfs(root, 0, 0);
            build(1, 0, sz - 1);
            vis[root] = 1;
            ll ans = 0ll;
            for(int i = 1;i <= k; i++)
            {
                propagate(1, 0, sz - 1);
                pll o = st[1];
                if(o.ff == 0)
                    break;
                int cur = o.ss;
                ans += o.ff;
                while(!vis[cur])
                {
                    update(1, 0, sz - 1, eul[cur], endeul[cur], -dpar[cur]);
                    vis[cur] = 1;
                    cur=  par[cur];
                }
            }
            cout << ans << '\n';
        }
        else
        {
            update(1, 0, sz - 1, eul[root], endeul[root], -d[root]);
            update(1, 0, sz - 1, 0, eul[root] - 1, d[root]);
            update(1, 0, sz - 1, endeul[root] + 1, n - 1, d[root]);

            propagate(1, 0, sz - 1);
            pll o = query(1, 0, sz - 1, 0, n - 1);
            cout << o.ff << '\n';

            update(1, 0, sz - 1, eul[root], endeul[root], d[root]);
            update(1, 0, sz - 1, 0, eul[root] - 1, -d[root]);
            update(1, 0, sz - 1, endeul[root] + 1, n - 1, -d[root]);
        }
    }
}

int32_t main()
{
    ios::sync_with_stdio(false);
    cin.tie(0); cout.tie(0);
    int tt = 1;
    while(tt--)
        solve();
}

Subtask #1
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 2 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 2 ms 2644 KB Output is correct
2 Correct 2 ms 2644 KB Output is correct
3 Correct 5 ms 2644 KB Output is correct
4 Correct 7 ms 2644 KB Output is correct
5 Correct 5 ms 2644 KB Output is correct
6 Correct 10 ms 2720 KB Output is correct
7 Correct 7 ms 2720 KB Output is correct

Subtask #3
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 2644 KB Output is correct
2 Correct 2 ms 2644 KB Output is correct
3 Correct 5 ms 2644 KB Output is correct
4 Correct 7 ms 2644 KB Output is correct
5 Correct 5 ms 2644 KB Output is correct
6 Correct 10 ms 2720 KB Output is correct
7 Correct 7 ms 2720 KB Output is correct
8 Correct 121 ms 2816 KB Output is correct
9 Correct 195 ms 2852 KB Output is correct
10 Correct 204 ms 2816 KB Output is correct
11 Correct 78 ms 2892 KB Output is correct
12 Correct 121 ms 2820 KB Output is correct

Subtask #4
0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 2644 KB Output is correct
2 Correct 2 ms 2644 KB Output is correct
3 Correct 5 ms 2644 KB Output is correct
4 Correct 7 ms 2644 KB Output is correct
5 Correct 5 ms 2644 KB Output is correct
6 Correct 10 ms 2720 KB Output is correct
7 Correct 7 ms 2720 KB Output is correct
8 Correct 121 ms 2816 KB Output is correct
9 Correct 195 ms 2852 KB Output is correct
10 Correct 204 ms 2816 KB Output is correct
11 Correct 78 ms 2892 KB Output is correct
12 Correct 121 ms 2820 KB Output is correct
13 Execution timed out 858 ms 2932 KB Time limit exceeded
14 Halted 0 ms 0 KB -

Subtask #5
0 / 12.0

# Verdict Execution time Memory Grader output
1 Incorrect 259 ms 16872 KB Output isn't correct
2 Halted 0 ms 0 KB -

Subtask #6
0 / 32.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 2644 KB Output is correct
2 Correct 2 ms 2644 KB Output is correct
3 Correct 5 ms 2644 KB Output is correct
4 Correct 7 ms 2644 KB Output is correct
5 Correct 5 ms 2644 KB Output is correct
6 Correct 10 ms 2720 KB Output is correct
7 Correct 7 ms 2720 KB Output is correct
8 Correct 121 ms 2816 KB Output is correct
9 Correct 195 ms 2852 KB Output is correct
10 Correct 204 ms 2816 KB Output is correct
11 Correct 78 ms 2892 KB Output is correct
12 Correct 121 ms 2820 KB Output is correct
13 Execution timed out 858 ms 2932 KB Time limit exceeded
14 Halted 0 ms 0 KB -