oj.uz

Submission #726042

# Submission time Handle Problem Language Result Execution time Memory
726042 2023-04-18T10:56:15 Z Johann Village (BOI20_village) C++14
100 / 100
 165 ms 24096 KB 
#include "bits/stdc++.h"
using namespace std;

typedef long long ll;
typedef pair<ll, ll> pii;
typedef vector<ll> vi;
typedef vector<vi> vvi;
typedef vector<pii> vpii;
typedef vector<vpii> vvpii;
#define sz(x) (ll)(x).size()
#define all(x) (x).begin(), (x).end()
ll N;
vvi adj;

// Code for the mini length
vi dpP, dpN;
vi ans_mini;
ll miniCheck = 0;

void dfs_mini(ll v, ll p)
{
    if (sz(adj[v]) == 1 && v != p)
    {
        // leaf
        dpN[v] = 0;
        dpP[v] = INT_MAX;
        return;
    }
    for (ll u : adj[v])
        if (u != p)
            dfs_mini(u, v);

    dpN[v] = 0;
    for (ll u : adj[v])
        if (u != p)
            dpN[v] += min(dpP[u], dpN[u] + 2);
    for (ll u : adj[v])
        if (u != p)
        {
            ll tmp = dpN[v] - min(dpP[u], dpN[u] + 2) + min(dpP[u], dpN[u]) + 2;
            dpP[v] = min(dpP[v], tmp);
        }
}
void reconstruct_dpP(ll v, ll p);
void reconstruct_dpN(ll v, ll p, ll except);

void reconstruct_dpN(ll v, ll p, ll except = -1)
{
    if (sz(adj[v]) == 1 && v != p)
        return; // leaf

    for (ll u : adj[v])
    {
        if (u == p)
            continue;
        if (u == except)
        {
            swap(ans_mini[v], ans_mini[u]);
            miniCheck += 2;
            if (dpP[u] < dpN[u])
                reconstruct_dpP(u, v);
            else
                reconstruct_dpN(u, v);
        }
        else if (dpP[u] < dpN[u] + 2)
            reconstruct_dpP(u, v);
        else
        {
            swap(ans_mini[v], ans_mini[u]);
            miniCheck += 2;
            reconstruct_dpN(u, v);
        }
    }
}

void reconstruct_dpP(ll v, ll p)
{
    if (sz(adj[v]) == 1 && v != p)
        return; // leaf

    ll w = -1;
    for (ll u : adj[v])
        if (u != p)
        {
            ll tmp = dpN[v] - min(dpP[u], dpN[u] + 2) + min(dpP[u], dpN[u]) + 2;
            if (dpP[v] == tmp)
            {
                w = u;
                break;
            }
        }
    reconstruct_dpN(v, p, w);
}

// code for the maxi part

vi subsize, swapsRequired;
vvi contains;
vi ans_maxi;
void dfs_maxi(ll v, ll p)
{
    subsize[v] = 1;
    for (ll u : adj[v])
        if (u != p)
        {
            dfs_maxi(u, v);
            subsize[v] += subsize[u];
        }
}
ll find_split(ll v)
{ // v must be root of the tree with respect to subsize
    pii maxSub = {-1, -1};
    for (ll u : adj[v])
        maxSub = max(maxSub, {subsize[u], u});
    if (maxSub.first <= N / 2)
        return v;
    subsize[v] = N - maxSub.first;
    subsize[maxSub.second] = N;
    return find_split(maxSub.second);
}
void collect(ll v, ll p)
{
    contains[v].push_back(v);
    for (ll u : adj[v])
        if (u != p)
        {
            collect(u, v);
            swapsRequired[v] += swapsRequired[u] + subsize[u];
            if (v != p)
            {
                if (sz(contains[u]) > sz(contains[v]))
                    swap(contains[u], contains[v]);
                while (!contains[u].empty())
                    contains[v].push_back(contains[u].back()), contains[u].pop_back();
            }
        }
}
void distribute(ll v)
{
    vi places;
    places.push_back(v);
    for (ll u : adj[v])
        places.push_back(u);
    sort(all(places), [&](ll a, ll b)
         { return sz(contains[a]) > sz(contains[b]); });
    queue<ll> todo;
    for (ll u : places)
        for (ll w : contains[u])
            todo.push(w);
    for (ll i = 0; i < sz(places); ++i)
        for (ll u : contains[places[(i + 1) % sz(places)]])
            ans_maxi[u] = todo.front(), todo.pop();
}

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

    cin >> N;
    adj.resize(N);
    for (ll i = 0, a, b; i < N - 1; ++i)
    {
        cin >> a >> b, --a, --b;
        adj[a].push_back(b), adj[b].push_back(a);
    }

    // mini
    dpP.assign(N, INT_MAX), dpN.assign(N, INT_MAX);
    dfs_mini(0, 0);

    ans_mini.resize(N);
    iota(all(ans_mini), 1);
    reconstruct_dpP(0, 0);

    // maxi
    subsize.resize(N);
    dfs_maxi(0, 0);
    ll center = find_split(0);
    contains.resize(N);
    swapsRequired.assign(N, 0);
    collect(center, center);
    ans_maxi.resize(N);
    distribute(center);

    // ans
    cout << dpP[0] << " ";
    cout << 2 * swapsRequired[center] << endl;
    assert(miniCheck == dpP[0]);
    for (ll v : ans_mini)
        cout << v << " ";
    cout << endl;

    for (ll v : ans_maxi)
        cout << v + 1 << " ";
    cout << endl;

    return 0;
}

Subtask #1
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 1 ms 212 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Correct 0 ms 212 KB Output is correct
5 Correct 0 ms 212 KB Output is correct
6 Correct 0 ms 212 KB Output is correct
7 Correct 1 ms 212 KB Output is correct
8 Correct 0 ms 212 KB Output is correct
9 Correct 1 ms 212 KB Output is correct
10 Correct 0 ms 212 KB Output is correct
11 Correct 0 ms 212 KB Output is correct
12 Correct 0 ms 212 KB Output is correct
13 Correct 0 ms 212 KB Output is correct
14 Correct 0 ms 212 KB Output is correct
15 Correct 0 ms 212 KB Output is correct
16 Correct 0 ms 212 KB Output is correct
17 Correct 1 ms 212 KB Output is correct

Subtask #2
38.0 / 38.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 340 KB Output is correct
2 Correct 1 ms 340 KB Output is correct
3 Correct 1 ms 340 KB Output is correct
4 Correct 1 ms 468 KB Output is correct
5 Correct 1 ms 468 KB Output is correct
6 Correct 1 ms 468 KB Output is correct
7 Correct 1 ms 468 KB Output is correct
8 Correct 1 ms 468 KB Output is correct
9 Correct 1 ms 468 KB Output is correct
10 Correct 1 ms 468 KB Output is correct
11 Correct 1 ms 468 KB Output is correct
12 Correct 1 ms 468 KB Output is correct
13 Correct 1 ms 468 KB Output is correct
14 Correct 1 ms 468 KB Output is correct
15 Correct 1 ms 468 KB Output is correct
16 Correct 1 ms 468 KB Output is correct
17 Correct 1 ms 468 KB Output is correct
18 Correct 1 ms 468 KB Output is correct
19 Correct 1 ms 468 KB Output is correct
20 Correct 1 ms 468 KB Output is correct
21 Correct 1 ms 468 KB Output is correct
22 Correct 1 ms 468 KB Output is correct
23 Correct 1 ms 468 KB Output is correct
24 Correct 1 ms 468 KB Output is correct
25 Correct 1 ms 340 KB Output is correct
26 Correct 1 ms 468 KB Output is correct
27 Correct 1 ms 340 KB Output is correct
28 Correct 1 ms 468 KB Output is correct
29 Correct 1 ms 468 KB Output is correct
30 Correct 1 ms 468 KB Output is correct

Subtask #3
50.0 / 50.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 1 ms 212 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Correct 0 ms 212 KB Output is correct
5 Correct 0 ms 212 KB Output is correct
6 Correct 0 ms 212 KB Output is correct
7 Correct 1 ms 212 KB Output is correct
8 Correct 0 ms 212 KB Output is correct
9 Correct 1 ms 212 KB Output is correct
10 Correct 0 ms 212 KB Output is correct
11 Correct 0 ms 212 KB Output is correct
12 Correct 0 ms 212 KB Output is correct
13 Correct 0 ms 212 KB Output is correct
14 Correct 0 ms 212 KB Output is correct
15 Correct 0 ms 212 KB Output is correct
16 Correct 0 ms 212 KB Output is correct
17 Correct 1 ms 212 KB Output is correct
18 Correct 4 ms 340 KB Output is correct
19 Correct 1 ms 340 KB Output is correct
20 Correct 1 ms 340 KB Output is correct
21 Correct 1 ms 468 KB Output is correct
22 Correct 1 ms 468 KB Output is correct
23 Correct 1 ms 468 KB Output is correct
24 Correct 1 ms 468 KB Output is correct
25 Correct 1 ms 468 KB Output is correct
26 Correct 1 ms 468 KB Output is correct
27 Correct 1 ms 468 KB Output is correct
28 Correct 1 ms 468 KB Output is correct
29 Correct 1 ms 468 KB Output is correct
30 Correct 1 ms 468 KB Output is correct
31 Correct 1 ms 468 KB Output is correct
32 Correct 1 ms 468 KB Output is correct
33 Correct 1 ms 468 KB Output is correct
34 Correct 1 ms 468 KB Output is correct
35 Correct 1 ms 468 KB Output is correct
36 Correct 1 ms 468 KB Output is correct
37 Correct 1 ms 468 KB Output is correct
38 Correct 1 ms 468 KB Output is correct
39 Correct 1 ms 468 KB Output is correct
40 Correct 1 ms 468 KB Output is correct
41 Correct 1 ms 468 KB Output is correct
42 Correct 1 ms 340 KB Output is correct
43 Correct 1 ms 468 KB Output is correct
44 Correct 1 ms 340 KB Output is correct
45 Correct 1 ms 468 KB Output is correct
46 Correct 1 ms 468 KB Output is correct
47 Correct 1 ms 468 KB Output is correct
48 Correct 96 ms 19920 KB Output is correct
49 Correct 138 ms 21824 KB Output is correct
50 Correct 132 ms 21760 KB Output is correct
51 Correct 91 ms 17060 KB Output is correct
52 Correct 112 ms 21472 KB Output is correct
53 Correct 85 ms 19624 KB Output is correct
54 Correct 47 ms 12036 KB Output is correct
55 Correct 139 ms 24096 KB Output is correct
56 Correct 108 ms 21684 KB Output is correct
57 Correct 117 ms 20676 KB Output is correct
58 Correct 118 ms 20508 KB Output is correct
59 Correct 101 ms 21148 KB Output is correct
60 Correct 67 ms 18752 KB Output is correct
61 Correct 78 ms 18668 KB Output is correct
62 Correct 87 ms 20080 KB Output is correct
63 Correct 91 ms 19108 KB Output is correct
64 Correct 100 ms 21584 KB Output is correct
65 Correct 109 ms 21148 KB Output is correct
66 Correct 86 ms 18660 KB Output is correct
67 Correct 70 ms 14040 KB Output is correct
68 Correct 74 ms 18028 KB Output is correct
69 Correct 92 ms 20496 KB Output is correct
70 Correct 97 ms 19080 KB Output is correct
71 Correct 65 ms 14228 KB Output is correct
72 Correct 85 ms 16124 KB Output is correct
73 Correct 111 ms 20388 KB Output is correct
74 Correct 82 ms 18604 KB Output is correct
75 Correct 126 ms 23684 KB Output is correct
76 Correct 114 ms 23548 KB Output is correct
77 Correct 88 ms 21196 KB Output is correct
78 Correct 61 ms 15256 KB Output is correct
79 Correct 76 ms 16836 KB Output is correct
80 Correct 165 ms 23800 KB Output is correct
81 Correct 105 ms 20820 KB Output is correct
82 Correct 82 ms 19356 KB Output is correct