Submission #1095175

#	Time	Username	Problem	Language	Result	Execution time	Memory
1095175		NguyenPhucThang	Palembang Bridges (APIO15_bridge)	C++17	100 / 100	231 ms	31028 KiB

bridge

#include <bits/stdc++.h>
#define forr(i, a, b) for (int i = (a); i <= (b); i++)
#define ford(i, a, b) for (int i = (a); i >= (b); i--)
#define forf(i, a, b) for (int i = (a); i < (b); i++)
#define fi first
#define se second
#define pb push_back
#define all(v) v.begin(), v.end()
#define ll long long
#define ld long double
#define pii pair<int, int>
#define pll pair<ll, ll>
#define vi vector<int>
#define vii vector<pii>
#define mask(i) (1LL << (i))
#define bit(x, i) (((x) >> (i)) & 1)
#define bp __builtin_popcountll
#define file "test"

using namespace std;
const int base = 31;
const ll mod = 1e9 + 7;
const ll oo = 1e16;
const int N = 2e5 + 5;
const int M = 2e5;


vector<pll> v;
vector<ll> nen;

bool cmp(pii a, pii b){
    return (a.fi + a.se) < (b.fi + b.se);
}

struct node{
    ll cnt, sum;
};

struct segtree{
    node st[4 * N];

    node combine(node a, node b){
        return {a.cnt + b.cnt, a.sum + b.sum};
    }

    void update(int id, int l, int r, int i, int v){
        if (i < l || r < i) return;
        if (l == r){
            st[id].cnt += v;
            st[id].sum = nen[l - 1] * st[id].cnt;
            return;
        }

        int mid = (l + r) >> 1;
        update(2 * id, l, mid, i, v), update(2 * id + 1, mid + 1, r, i, v);
        st[id] = combine(st[2 * id], st[2 * id + 1]);
    }

    node get(int id, int l, int r, int u, int v){
        if (v < l || r < u) return {0, 0};
        if (u <= l && r <= v) return st[id];
        int mid = (l + r) >> 1;
        return combine(get(2 * id, l, mid, u, v), get(2 * id + 1, mid + 1, r, u, v));
    }

    int find_kth(int id, int l, int r, int k){
        if (l == r) return l;
        int mid = (l + r) >> 1;
        if (st[2 * id].cnt >= k) return find_kth(2 * id, l, mid, k);
        return find_kth(2 * id + 1, mid + 1, r, k - st[2 * id].cnt);
    }

    ll find_cost(int sz){
        ll cmed = find_kth(1, 1, M, (1 + sz) >> 1);
        ll med = nen[cmed - 1];
        node lower_ans = get(1, 1, M, 1, cmed);
        node higher_ans = get(1, 1, M, cmed + 1, M);
        return med * lower_ans.cnt - lower_ans.sum + higher_ans.sum - med * higher_ans.cnt;
    }

} Left, Right, All;


int main()
{
   ios_base::sync_with_stdio(0);
   cin.tie(0);

    int K, n;
    cin >> K >> n;

    ll res = 0;

    forr(i, 1, n) {
        char b1, b2;
        int x1, x2;
        cin >> b1 >> x1 >> b2 >> x2;
        if (b1 == b2) res += abs(x1 - x2);
        else{
            res++;
            v.pb({x1, x2});
            nen.pb(x1);
            nen.pb(x2);
         }
    }
    
    // K = 1
   
   ll cost1 = 0;

   if (v.size() >= 1){

      sort(all(v), cmp);


      sort(all(nen));
      nen.resize(unique(all(nen)) - nen.begin());
      forr(i, 0, v.size() - 1){
         v[i].fi = lower_bound(all(nen), v[i].fi) - nen.begin() + 1;
         v[i].se = lower_bound(all(nen), v[i].se) - nen.begin() + 1;
      }
      forf(i, 0, v.size()){
         All.update(1, 1, M, v[i].fi, 1);
         All.update(1, 1, M, v[i].se, 1);
      }
      cost1 = All.find_cost(2 * v.size());
   }


   ll cost2 = oo;

   if (K == 2 && v.size() >= 2){
      forf(i, 0, v.size()) {
         Right.update(1, 1, M, v[i].fi, 1);
         Right.update(1, 1, M, v[i].se, 1);
      }

      int cntLeft = 0;
      forr(i, 0, v.size() - 2){
         Left.update(1, 1, M, v[i].fi, 1);
         Left.update(1, 1, M, v[i].se, 1);
         Right.update(1, 1, M, v[i].fi, -1);
         Right.update(1, 1, M, v[i].se, -1);
         cntLeft++;
         cost2 = min(cost2, Left.find_cost(2 * cntLeft) + Right.find_cost(2 * (v.size() - cntLeft)));
      }
   }

   cout << res + min(cost1, cost2) << endl;

    return 0;
}

Compilation message (stderr)

bridge.cpp: In function 'int main()':
bridge.cpp:2:43: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::pair<long long int, long long int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
    2 | #define forr(i, a, b) for (int i = (a); i <= (b); i++)
      |                                           ^
bridge.cpp:118:7: note: in expansion of macro 'forr'
  118 |       forr(i, 0, v.size() - 1){
      |       ^~~~
bridge.cpp:4:43: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::pair<long long int, long long int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
    4 | #define forf(i, a, b) for (int i = (a); i < (b); i++)
      |                                           ^
bridge.cpp:122:7: note: in expansion of macro 'forf'
  122 |       forf(i, 0, v.size()){
      |       ^~~~
bridge.cpp:4:43: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::pair<long long int, long long int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
    4 | #define forf(i, a, b) for (int i = (a); i < (b); i++)
      |                                           ^
bridge.cpp:133:7: note: in expansion of macro 'forf'
  133 |       forf(i, 0, v.size()) {
      |       ^~~~
bridge.cpp:2:43: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::pair<long long int, long long int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
    2 | #define forr(i, a, b) for (int i = (a); i <= (b); i++)
      |                                           ^
bridge.cpp:139:7: note: in expansion of macro 'forr'
  139 |       forr(i, 0, v.size() - 2){
      |       ^~~~

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