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Submission #106090

# Submission time Handle Problem Language Result Execution time Memory
106090 2019-04-16T13:48:22 Z Alexa2001 Designated Cities (JOI19_designated_cities) C++17
23 / 100
 2000 ms 70520 KB 
#include <bits/stdc++.h>

using namespace std;

const int Nmax = 2e5 + 5;
typedef long long ll;

struct edge
{
    int to, toy, fromy;
};
vector<edge> v[Nmax];

ll ans[Nmax];
int n;


namespace special_case_for_one
{
    ll dfs(int node, int dad = 0)
    {
        ll sum = 0;
        for(auto it : v[node])
            if(it.to != dad)
                sum += it.fromy + dfs(it.to, node);
        return sum;
    }

    ll get_best(int node, int dad, ll now)
    {
        ll best = now;

        for(auto it : v[node])
            if(it.to != dad)
                best = max(best, get_best(it.to, node, now + it.toy - it.fromy));
        return best;
    }

    ll solve1()
    {
        return get_best(1, 0, dfs(1));
    }
}

namespace special_case
{
    int root;
    ll best2 = 0;

    pair<ll, int> best[Nmax];
    int w[Nmax], subarb[Nmax];
    ll c[Nmax];
    bool used[Nmax];
    int S;

    void dfs0(int node, int dad = 0)
    {
        w[node] = 1;
        for(auto it : v[node])
            if(it.to != dad && !used[it.to])
            {
                dfs0(it.to, node);
                w[node] += w[it.to];
            }
    }

    pair<int,int> centroid(int node, int dad = 0)
    {
        int act = S - w[node];
        pair<int,int> best = {S, -1};

        for(auto it : v[node])
            if(it.to != dad && !used[it.to])
            {
                best = min(best, centroid(it.to, node));
                act = max(act, w[it.to]);
            }
        best = min(best, {act, node});
        return best;
    }

    ll dfs(int node, int dad = 0)
    {
        ll sum = 0;

        if(dad)
        {
            if(w[dad] == -1) subarb[node] = node;
                else subarb[node] = subarb[dad];
            best[subarb[node]] = max(best[subarb[node]], {c[node], node});
        }

        for(auto it : v[node])
            if(it.to != dad && !used[it.to])
            {
                c[it.to] = c[node] + it.toy;
                sum += it.fromy + dfs(it.to, node);
            }
        return sum;
    }

    void solve2(int node)
    {
        dfs0(node);
        S = w[node];

        node = centroid(node).second;
        c[node] = 0;
        w[node] = -1;

        for(auto it : v[node])
            if(!used[it.to])
                best[it.to] = {-1, -1};

        ll sum = dfs(node);

        vector< pair<ll,int> > now;

        for(auto it : v[node])
            if(!used[it.to])
                now.push_back(best[it.to]);

        if(now.size() >= 2)
        {
            nth_element(now.begin(), now.end() - 2, now.end());

            ll W = sum + now[now.size()-2].first + now[now.size()-1].first;

            if(W > best2)
            {
                best2 = W;
                root = now.back().second;
            }
        }

        if(now.size() >= 1)
        {
            ll W = sum + max_element(now.begin(), now.end())->first;

            if(W > best2)
            {
                best2 = W;
                root = node;
            }
        }

        used[node] = 1;
        for(auto it : v[node])
            if(!used[it.to]) solve2(it.to);
    }
}




pair<ll, int> operator + (pair<ll, int> a, ll b)
{
    a.first += b;
    return a;
}

#define mid ((st+dr)>>1)
#define left_son ((node<<1))
#define right_son ((node<<1)|1)

class SegTree
{
    pair<ll, int> a[Nmax<<2];
    ll lazy[Nmax<<2];

public:
    void update(int node, int st, int dr, int L, int R, int add)
    {
        if(L <= st && dr <= R)
        {
            lazy[node] += add;
            return;
        }

        if(L <= mid) update(left_son, st, mid, L, R, add);
        if(mid < R) update(right_son, mid+1, dr, L, R, add);

        a[node] = max(a[left_son] + lazy[left_son], a[right_son] + lazy[right_son]);
    }

    void build(int node, int st, int dr, ll D[])
    {
        lazy[node] = 0;
        if(st == dr)
        {
            a[node] = {D[st], st};
            return;
        }
        build(left_son, st, mid, D);
        build(right_son, mid+1, dr, D);
        a[node] = max(a[left_son], a[right_son]);
    }

    pair<ll, int> query()
    {
        return a[1] + lazy[1];
    }
};

namespace solve_for_all
{
    int up[Nmax];
    ll up_chain[Nmax];
    int tmp, in[Nmax], out[Nmax], t[Nmax];
    bool used[Nmax];

    ll which[Nmax];
    int ord[Nmax];

    SegTree aint;

    ll dfs(int node, int dad = 0)
    {
        t[node] = dad;
        in[node] = ++tmp;

        ll sum = 0;
        for(auto it : v[node])
            if(it.to != dad)
            {
                up[it.to] = it.toy;
                up_chain[it.to] = up[it.to] + up_chain[node];
                sum += it.fromy + dfs(it.to, node);
            }
        out[node] = tmp;
        return sum;
    }

    void solve(int node)
    {
        memset(used, 0, sizeof(used));
        tmp = 0;
        up_chain[node] = up[node] = 0;

        ll Ans = dfs(node);

        int i;
        for(i=1; i<=n; ++i) ord[in[i]] = i;
        for(i=1; i<=n; ++i) which[i] = up_chain[ord[i]];

        aint.build(1, 1, n, which);
        used[node] = 1;

        for(i=2; i<=n; ++i)
        {
            auto res = aint.query();
            Ans += res.first;
            ans[i] = max(ans[i], Ans);

            int x = ord[res.second];

            while(!used[x])
            {
                aint.update(1, 1, n, in[x], out[x], -up[x]);
                used[x] = 1;
                x = t[x];
            }
        }
    }
}

int main()
{
  //  freopen("input", "r", stdin);
    cin.sync_with_stdio(false);

    ll sum = 0;
    int i;

    cin >> n;
    for(i=1; i<n; ++i)
    {
        int x, y, c1, c2;
        cin >> x >> y >> c1 >> c2;
        v[x].push_back({y, c1, c2});
        v[y].push_back({x, c2, c1});
        sum += c1 + c2;
    }

    ans[1] = special_case_for_one :: solve1();
    special_case :: solve2(1);
    solve_for_all :: solve(special_case :: root);

  //  for(i=1; i<=n; ++i)
   //     solve_for_all :: solve(i);

    int q;
    cin >> q;
    while(q--)
    {
        int x;
        cin >> x;
        cout << sum - ans[x] << '\n';
    }

    return 0;
}

Subtask #1
6.0 / 6.0

# Verdict Execution time Memory Grader output
1 Correct 16 ms 17920 KB Output is correct
2 Correct 19 ms 17784 KB Output is correct
3 Correct 16 ms 17792 KB Output is correct
4 Correct 19 ms 17920 KB Output is correct
5 Correct 20 ms 17784 KB Output is correct
6 Correct 18 ms 17920 KB Output is correct
7 Correct 17 ms 17792 KB Output is correct
8 Correct 17 ms 17920 KB Output is correct
9 Correct 18 ms 17792 KB Output is correct
10 Correct 19 ms 17920 KB Output is correct
11 Correct 20 ms 17920 KB Output is correct

Subtask #2
0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 21 ms 17792 KB Output is correct
2 Correct 1346 ms 50588 KB Output is correct
3 Execution timed out 2025 ms 60552 KB Time limit exceeded
4 Halted 0 ms 0 KB -

Subtask #3
0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 16 ms 17920 KB Output is correct
2 Correct 1451 ms 48236 KB Output is correct
3 Correct 1860 ms 70520 KB Output is correct
4 Correct 1353 ms 50324 KB Output is correct
5 Correct 802 ms 52128 KB Output is correct
6 Correct 1660 ms 54600 KB Output is correct
7 Correct 607 ms 53960 KB Output is correct
8 Execution timed out 2031 ms 61108 KB Time limit exceeded
9 Halted 0 ms 0 KB -

Subtask #4
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 16 ms 17920 KB Output is correct
2 Correct 19 ms 17784 KB Output is correct
3 Correct 16 ms 17792 KB Output is correct
4 Correct 19 ms 17920 KB Output is correct
5 Correct 20 ms 17784 KB Output is correct
6 Correct 18 ms 17920 KB Output is correct
7 Correct 17 ms 17792 KB Output is correct
8 Correct 17 ms 17920 KB Output is correct
9 Correct 18 ms 17792 KB Output is correct
10 Correct 19 ms 17920 KB Output is correct
11 Correct 20 ms 17920 KB Output is correct
12 Correct 18 ms 17792 KB Output is correct
13 Correct 27 ms 18040 KB Output is correct
14 Correct 24 ms 18176 KB Output is correct
15 Correct 21 ms 18040 KB Output is correct
16 Correct 23 ms 18148 KB Output is correct
17 Correct 28 ms 18160 KB Output is correct
18 Correct 25 ms 18176 KB Output is correct
19 Correct 23 ms 18176 KB Output is correct
20 Correct 23 ms 18176 KB Output is correct
21 Correct 26 ms 18176 KB Output is correct
22 Correct 25 ms 18048 KB Output is correct
23 Correct 25 ms 18176 KB Output is correct
24 Correct 25 ms 18168 KB Output is correct
25 Correct 22 ms 18304 KB Output is correct
26 Correct 20 ms 18176 KB Output is correct

Subtask #5
0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 21 ms 17792 KB Output is correct
2 Correct 1346 ms 50588 KB Output is correct
3 Execution timed out 2025 ms 60552 KB Time limit exceeded
4 Halted 0 ms 0 KB -

Subtask #6
0 / 44.0

# Verdict Execution time Memory Grader output
1 Correct 16 ms 17920 KB Output is correct
2 Correct 19 ms 17784 KB Output is correct
3 Correct 16 ms 17792 KB Output is correct
4 Correct 19 ms 17920 KB Output is correct
5 Correct 20 ms 17784 KB Output is correct
6 Correct 18 ms 17920 KB Output is correct
7 Correct 17 ms 17792 KB Output is correct
8 Correct 17 ms 17920 KB Output is correct
9 Correct 18 ms 17792 KB Output is correct
10 Correct 19 ms 17920 KB Output is correct
11 Correct 20 ms 17920 KB Output is correct
12 Correct 21 ms 17792 KB Output is correct
13 Correct 1346 ms 50588 KB Output is correct
14 Execution timed out 2025 ms 60552 KB Time limit exceeded
15 Halted 0 ms 0 KB -