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Submission #1095175

# Submission time Handle Problem Language Result Execution time Memory
1095175 2024-10-01T13:23:10 Z NguyenPhucThang Palembang Bridges (APIO15_bridge) C++17
100 / 100
 231 ms 31028 KB 
#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

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
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 1 ms 348 KB Output is correct
4 Correct 1 ms 604 KB Output is correct
5 Correct 1 ms 604 KB Output is correct
6 Correct 1 ms 348 KB Output is correct
7 Correct 1 ms 604 KB Output is correct
8 Correct 1 ms 604 KB Output is correct
9 Correct 1 ms 604 KB Output is correct
10 Correct 1 ms 348 KB Output is correct
11 Correct 1 ms 604 KB Output is correct

Subtask #2
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 1 ms 348 KB Output is correct
4 Correct 1 ms 472 KB Output is correct
5 Correct 1 ms 604 KB Output is correct
6 Correct 1 ms 344 KB Output is correct
7 Correct 1 ms 604 KB Output is correct
8 Correct 1 ms 604 KB Output is correct
9 Correct 1 ms 604 KB Output is correct
10 Correct 1 ms 348 KB Output is correct
11 Correct 1 ms 604 KB Output is correct
12 Correct 37 ms 4628 KB Output is correct
13 Correct 94 ms 14256 KB Output is correct
14 Correct 60 ms 4976 KB Output is correct
15 Correct 53 ms 8768 KB Output is correct
16 Correct 39 ms 5312 KB Output is correct
17 Correct 51 ms 14260 KB Output is correct
18 Correct 57 ms 13804 KB Output is correct
19 Correct 73 ms 13792 KB Output is correct
20 Correct 50 ms 5564 KB Output is correct
21 Correct 62 ms 13912 KB Output is correct

Subtask #3
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 KB Output is correct
2 Correct 0 ms 344 KB Output is correct
3 Correct 0 ms 604 KB Output is correct
4 Correct 1 ms 604 KB Output is correct
5 Correct 0 ms 604 KB Output is correct
6 Correct 1 ms 604 KB Output is correct
7 Correct 1 ms 604 KB Output is correct
8 Correct 1 ms 604 KB Output is correct
9 Correct 1 ms 604 KB Output is correct
10 Correct 1 ms 604 KB Output is correct
11 Correct 1 ms 604 KB Output is correct
12 Correct 1 ms 604 KB Output is correct

Subtask #4
32.0 / 32.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 604 KB Output is correct
4 Correct 1 ms 464 KB Output is correct
5 Correct 0 ms 604 KB Output is correct
6 Correct 0 ms 604 KB Output is correct
7 Correct 1 ms 604 KB Output is correct
8 Correct 0 ms 604 KB Output is correct
9 Correct 0 ms 604 KB Output is correct
10 Correct 1 ms 604 KB Output is correct
11 Correct 1 ms 600 KB Output is correct
12 Correct 1 ms 600 KB Output is correct
13 Correct 2 ms 600 KB Output is correct
14 Correct 2 ms 604 KB Output is correct
15 Correct 2 ms 732 KB Output is correct
16 Correct 1 ms 604 KB Output is correct
17 Correct 1 ms 604 KB Output is correct
18 Correct 1 ms 728 KB Output is correct
19 Correct 2 ms 604 KB Output is correct
20 Correct 2 ms 860 KB Output is correct
21 Correct 2 ms 856 KB Output is correct
22 Correct 2 ms 860 KB Output is correct
23 Correct 1 ms 604 KB Output is correct
24 Correct 2 ms 860 KB Output is correct

Subtask #5
37.0 / 37.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 344 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 604 KB Output is correct
4 Correct 1 ms 600 KB Output is correct
5 Correct 0 ms 604 KB Output is correct
6 Correct 0 ms 604 KB Output is correct
7 Correct 0 ms 604 KB Output is correct
8 Correct 1 ms 608 KB Output is correct
9 Correct 1 ms 604 KB Output is correct
10 Correct 0 ms 604 KB Output is correct
11 Correct 1 ms 600 KB Output is correct
12 Correct 1 ms 608 KB Output is correct
13 Correct 1 ms 616 KB Output is correct
14 Correct 2 ms 616 KB Output is correct
15 Correct 2 ms 868 KB Output is correct
16 Correct 1 ms 604 KB Output is correct
17 Correct 1 ms 612 KB Output is correct
18 Correct 1 ms 864 KB Output is correct
19 Correct 2 ms 612 KB Output is correct
20 Correct 2 ms 736 KB Output is correct
21 Correct 2 ms 868 KB Output is correct
22 Correct 2 ms 740 KB Output is correct
23 Correct 1 ms 612 KB Output is correct
24 Correct 2 ms 868 KB Output is correct
25 Correct 119 ms 4624 KB Output is correct
26 Correct 119 ms 4800 KB Output is correct
27 Correct 226 ms 27832 KB Output is correct
28 Correct 224 ms 30640 KB Output is correct
29 Correct 231 ms 31028 KB Output is correct
30 Correct 110 ms 16632 KB Output is correct
31 Correct 114 ms 5584 KB Output is correct
32 Correct 139 ms 30644 KB Output is correct
33 Correct 119 ms 30388 KB Output is correct
34 Correct 152 ms 29580 KB Output is correct
35 Correct 114 ms 5800 KB Output is correct
36 Correct 151 ms 30640 KB Output is correct
37 Correct 108 ms 4540 KB Output is correct