Submission #1185257

#TimeUsernameProblemLanguageResultExecution timeMemory
1185257jerzykCoin Collecting (JOI19_ho_t4)C++20
0 / 100
3 ms6980 KiB
#include <bits/stdc++.h>

using namespace std;
#define pb push_back
#define st first
#define nd second
typedef long long ll;
typedef long double ld;
const ll I = 1'000'000'000'000'000'000LL;
const int II = 2'000'000'000;
const ll M = 1'000'000'007LL;
const int N = 1<<18;
const int K = 1000;
pair<int, int> co[N];
vector<int> pos[2];
vector<pair<pair<int, int>, ll>> dp[N];
int tab[N];

ll A(int a, int b)
{
    if(a > b) return a - b;
    return b - a;
}

void Gen(int a, int b, int n, int m, ll d)
{
    int p = (a + b) / 2 + 1;
    ll o;
    // cout << "G: " << p << " " << a << " " << b << " " << d << "\n";
    if(a < n && b < m)
    {
        o = d + A(pos[0][a], p) + A(p, pos[1][b]);
        dp[p].pb(make_pair(make_pair(a + 1, b + 1), o));
    }
    if(a < n - 1)
    {
        o = d + A(pos[0][a], p) + A(pos[0][a + 1], p) + 1LL;
        dp[p].pb(make_pair(make_pair(a + 2, b), o));
    }
    if(b < m - 1)
    {
        o = d + A(pos[1][b], p) + A(pos[1][b + 1], p) + 1LL;
        dp[p].pb(make_pair(make_pair(a, b + 2), o));
    }
}

ll Dijsktra()
{
    priority_queue<pair<ll, pair<int, int> >> q;
    int n = pos[0].size(), m = pos[1].size();
    dp[0].pb(make_pair(make_pair(0, 0), 0LL));
    for(int i = 0; i < (n + m) / 2; ++i)
    {
        sort(dp[i].begin(), dp[i].end());
        vector<pair<ll, pair<int, int>>> cur;
        for(int j = 0; j < (int)dp[i].size(); ++j)
            if(j == 0 || dp[i][j].st != dp[i][j - 1].st)
                cur.pb(make_pair(dp[i][j].nd, dp[i][j].st));
        dp[i].clear();
        sort(cur.begin(), cur.end());
        for(int j = 0; cur[j].st <= cur[0].st + 100LL; ++j)
            Gen(cur[j].nd.st, cur[j].nd.nd, n, m, cur[j].st);
    }
    ll ans = I;
    int lim = (n + m) / 2;
    for(int i = 0; i < (int)dp[lim].size(); ++i)
        ans = min(ans, dp[lim][i].nd);
    return ans;
}

void Solve()
{
    int n;
    ll answer = 0LL;
    cin >> n;
    for(int i = 1; i <= 2 * n; ++i)
    {
        cin >> co[i].st >> co[i].nd;
        if(co[i].st < 1)
            {answer += 1 - co[i].st; co[i].st = 1;}
        if(co[i].st > n)
            {answer += co[i].st - n; co[i].st = n;}
        if(co[i].nd < 1)
            {answer += 1 - co[i].nd; co[i].nd = 1;}
        if(co[i].nd > 2)
            {answer += co[i].nd - 2; co[i].nd = 2;}
        // cout << "I: " << co[i].st << " " << co[i].nd << "\n";
        pos[co[i].nd - 1].pb(co[i].st);
    }
    sort(pos[0].begin(), pos[0].end());
    sort(pos[1].begin(), pos[1].end());
    ll ans = Dijsktra();
    ans += answer;
    cout << ans << "\n";
}

int main()
{
    ios_base::sync_with_stdio(false);
    cin.tie(nullptr);
    //int t; cin >> t;
    //while(t--)
        Solve();

    return 0;
}
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