Submission #585540

#	Time	Username	Problem	Language	Result	Execution time	Memory
585540		Huy	Palembang Bridges (APIO15_bridge)	C++17	0 / 100	1 ms	340 KiB

bridge

#include<bits/stdc++.h>
//#define int long long
#define pii pair<int,ll>
//#define fi first
//#define se second
/*#pragma GCC target ("avx2")
#pragma GCC optimization ("O3")
#pragma GCC optimization ("unroll-loops")
#pragma GCC optimize("Ofast")
#pragma GCC target("avx,avx2,fma")*/
using namespace std;
using ll = long long;
using ull = unsigned long long;
using ldb = long double;
const ll N = (int)1e9 + 1;
const int maxN = (int)1e6 + 1;
const int mod = 1e9 + 7;
//const int mod = 998244353;
const ll infty = 1e18 + 7;
const int base = (int)4e5;

void InputFile()
{
    //freopen("scrivener.inp","r",stdin);
    //freopen("scrivener.out","w",stdout);
    //freopen("test.out","r",stdin);
}

void FastInput()
{
    ios_base::sync_with_stdio(false);
    cin.tie(nullptr);
}

int k,n;
char P[maxN],Q[maxN];
int S[maxN],T[maxN];
vector<pii> vc;
int dak = 0;
int su = 0;
vector<int> save;
map<int,int> n_val;
vector<int> oval;
int var;

bool FA(pii a,pii b)
{
    return a.first + a.second < b.first + b.second;
}

int idbit[2][maxN];
ll sumbit[2][maxN];

void Updateid(int t,int idx,int val)
{
    while(idx <= 2 * n)
    {
        idbit[t][idx] += val;
        idx += (idx & (-idx));
    }
}

int Getid(int t,int idx)
{
    int res = 0;
    while(idx > 0)
    {
        res += idbit[t][idx];
        idx -= (idx & (-idx));
    }
    return res;
}
void Updatesum(int t,int idx,int val)
{
    while(idx <= 2 * n)
    {
        sumbit[t][idx] += val;
        idx += (idx & (-idx));
    }
}

int Getsum(int t,int idx)
{
    int res = 0;
    while(idx > 0)
    {
        res += sumbit[t][idx];
        idx -= (idx & (-idx));
    }
    return res;
}

void Read()
{
    cin >> k >> n;
    for(int i = 1; i <= n; i++)
    {
        cin >> P[i] >> S[i] >> Q[i] >> T[i];
        if(P[i] != Q[i])
        {
            if(S[i] > T[i])
                swap(S[i],T[i]);
            vc.push_back({S[i],T[i]});
            dak++;
        }
        else
        {
            su += abs(S[i]-T[i]);
        }
    }
}

void Renumb()
{
    sort(save.begin(),save.end());
    int old = -1;
    int now = 0;
    oval.push_back(-1);
    for(int i : save)
    {
        if(i > old)
        {
            old = i;
            now++;
            oval.push_back(i);
        }
        n_val[old] = now;
    }
    var = now;
}

void Solve()
{
    if(vc.empty())
    {
        cout << su;
        return;
    }
    sort(vc.begin(),vc.end(),FA);
    for(pii tmp : vc)
    {
        save.push_back(tmp.first);
        save.push_back(tmp.second);
    }
    Renumb();
    for(pii tmp : vc)
    {
        Updateid(1,n_val[tmp.first],1);
        Updateid(1,n_val[tmp.second],1);
        Updatesum(1,n_val[tmp.first],tmp.first);
        Updatesum(1,n_val[tmp.second],tmp.second);
    }

    ll res = infty;

    int low = 1;
    int high = var;
    ll  check = 0;
    while(low <= high)
    {
        int mid = (low + high) / 2;
        if(Getid(1,mid) > (int)vc.size())
            high = mid - 1;
        else
            low = mid + 1;
    }
    check += oval[low] * Getid(1,low) - Getsum(1,low);
    check += (Getsum(1,2*n) - Getsum(1,low)) - oval[low] * (Getid(1,2*n)-Getid(1,low));
    res = min(res,check);

    for(int i = 0; i < vc.size(); i++)
    {
        Updateid(1,n_val[vc[i].first],-1);
        Updateid(0,n_val[vc[i].first],1);
        Updateid(1,n_val[vc[i].second],-1);
        Updateid(0,n_val[vc[i].second],1);

        Updatesum(1,n_val[vc[i].first],-vc[i].first);
        Updatesum(0,n_val[vc[i].first],vc[i].first);
        Updatesum(1,n_val[vc[i].second],-vc[i].second);
        Updatesum(0,n_val[vc[i].second],vc[i].second);

        ll check = 0;

        /// med part1
        int low = 1;
        int high = var;
        while(low <= high)
        {
            int mid = (low + high) / 2;
            if(Getid(0,mid) > i + 1)
                high = mid - 1;
            else
                low = mid + 1;
        }
        check += oval[low] * Getid(0,low) - Getsum(0,low);
        check += (Getsum(0,2*n) - Getsum(0,low)) - oval[low] * (Getid(0,2*n)-Getid(0,low));

        /// med part 2
        if(i != vc.size() - 1)
        {
            low = 1;
            high = var;
            while(low <= high)
            {
                int mid = (low + high) / 2;
                if(Getid(1,mid) > (int)vc.size()-1-i)
                    high = mid - 1;
                else
                    low = mid + 1;
            }
            check += oval[low] * Getid(1,low) - Getsum(1,low);
            check += (Getsum(1,2*n) - Getsum(1,low)) - oval[low] * (Getid(1,2*n)-Getid(1,low));
        }
        res  = min(res,check);
    }
    cout << res + su + dak;
}

void Debug()
{

}


int32_t main()
{
    FastInput();
    //InputFile();
    //int sub_type;
    //cin >> sub_type;
    //Sieve();
    //Prepare();
    int test;
    //cin >> test;
    test = 1;
    while(test--)
        //for(int prc = 1; prc <= test; prc++)
    {
        Read();
        Solve();
        //Debug();
    }
}

/*
2 5
B 0 A 4
B 1 B 3
A 5 B 7
B 2 A 6
B 1 A 7
*/

Compilation message (stderr)

bridge.cpp: In function 'void Solve()':
bridge.cpp:171:22: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::pair<int, long long int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  171 |     for(int i = 0; i < vc.size(); i++)
      |                    ~~^~~~~~~~~~~
bridge.cpp:200:14: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::pair<int, long long int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  200 |         if(i != vc.size() - 1)
      |            ~~^~~~~~~~~~~~~~~~

• Subtask 1: 0 / 8
• Subtask 2: 0 / 14
• Subtask 3: 0 / 9
• Subtask 4: 0 / 32
• Subtask 5: 0 / 37