Submission #1102073

#	Time	Username	Problem	Language	Result	Execution time	Memory
1102073		yoav_s	Village (BOI20_village)	C++17	50 / 100	86 ms	46672 KiB

Village

#include <bits/stdc++.h>

using namespace std;

typedef long long ll;
typedef vector<ll> v;
typedef vector<v> vv;
typedef vector<vv> vvv;
typedef pair<ll, ll> p;
typedef vector<p> vp;
typedef vector<vp> vvp;
typedef vector<vvp> vvvp;
typedef pair<ll, p> tri;
typedef vector<tri> vtri;
typedef vector<vtri> vvtri;
typedef vector<vvtri> vvvtri;
typedef vector<bool> vb;
typedef vector<vb> vvb;
typedef vector<vvb> vvvb;

#define f first
#define s second
#define pb push_back
#define eb emplace_back
#define all(v) (v).begin(),(v).end()

const ll INF = 1e12;
const ll mod = 1e9 + 7;

void solve(ll i, vv &graph, v &dpFullCycle, v &dpPath, vb &visited, v &chosenCycle, v &chosenPath, vvp &sortedChildren, v &pathEnd)
{
    if (visited[i]) return;
    visited[i] = true;
    v children;
    for (ll x : graph[i])
    {
        if (!visited[x])
        {
            children.pb(x);
            solve(x, graph, dpFullCycle, dpPath, visited, chosenCycle, chosenPath, sortedChildren, pathEnd);
        }
    }
    ll res = 0;
    for (ll x : children)
    {
        res += dpFullCycle[x];
    }
    dpPath[i] = res;
    chosenPath[i] = 0; pathEnd[i] = i;
    v diff;
    for (ll x : children)
    {
        diff.pb(dpPath[x] - dpFullCycle[x]);
        sortedChildren[i].eb(diff.back(), x);
    }
    sort(all(diff));
    sort(all(sortedChildren[i]));
    ll amt = 1;
    for (ll x : diff)
    {
        res += x;
        ll ev = res + amt * 2;
        if (ev < dpFullCycle[i])
        {
            dpFullCycle[i] = ev;
            chosenCycle[i] = amt;
        }
        if (amt >= 1)
        {
            ll ev = res + amt * 2;
            if (ev < dpPath[i])
            {
                dpPath[i] = ev;
                chosenPath[i] = amt;
                pathEnd[i] = pathEnd[sortedChildren[i][0].s];
            }
        }
        amt++;
    }
}

void recreatePerm(ll i, bool isCycle, vv &graph, v &chosenCycle, v &chosenPath, vvp &sortedChildren, v &res, v &pathEnd)
{
    ll amt = isCycle? chosenCycle[i] : chosenPath[i];
    for (ll j = 0; j < amt; j++)
    {
        recreatePerm(sortedChildren[i][j].s, false, graph, chosenCycle, chosenPath, sortedChildren, res, pathEnd);
    }
    for (ll j = amt; j < sortedChildren[i].size(); j++)
    {
        recreatePerm(sortedChildren[i][j].s, true, graph, chosenCycle, chosenPath, sortedChildren, res, pathEnd);
    }
    ll prev = i;
    for (ll j = amt - 1; j >= 0; j--)
    {
        res[prev] = sortedChildren[i][j].s;
        prev = pathEnd[sortedChildren[i][j].s];
    }
    if (isCycle) res[prev] = i;
}

int main()
{
    ios_base::sync_with_stdio(false); cin.tie(NULL); cout.tie(NULL);
    ll N;
    cin >> N;
    vv graph(N);
    for (ll i = 0; i < N - 1; i++)
    {
        ll a, b;
        cin >> a >> b; a--; b--;
        graph[a].pb(b);
        graph[b].pb(a);
    }
    v dpFullCycle(N, INF);
    v dpPath(N, INF);
    v chosenCycle(N, 0), chosenPath(N, 0);
    vb visited(N, false);
    vvp sortedChildren(N);
    v pathEnd(N);
    solve(0, graph, dpFullCycle, dpPath, visited, chosenCycle, chosenPath, sortedChildren, pathEnd);
    v perm(N);
    recreatePerm(0, true, graph, chosenCycle, chosenPath, sortedChildren, perm, pathEnd);
    cout << dpFullCycle[0] << " " << 0 << "\n";
    for (ll x : perm) cout << x + 1 << " ";
    cout << "\n";
    for (ll i = 0; i < N; i++) cout << "1 ";
    cout << "\n";
    return 0;
}

Compilation message (stderr)

Village.cpp: In function 'void recreatePerm(ll, bool, vv&, v&, v&, vvp&, v&, v&)':
Village.cpp:89:24: warning: comparison of integer expressions of different signedness: 'll' {aka 'long long int'} and 'std::vector<std::pair<long long int, long long int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   89 |     for (ll j = amt; j < sortedChildren[i].size(); j++)
      |                      ~~^~~~~~~~~~~~~~~~~~~~~~~~~~

• Subtask 1: 6 / 12
• Subtask 2: 19 / 38
• Subtask 3: 25 / 50