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Submission #916708

# Submission time Handle Problem Language Result Execution time Memory
916708 2024-01-26T10:24:07 Z huantran Palembang Bridges (APIO15_bridge) C++17
100 / 100
 69 ms 14280 KB 
#include <iostream>
#include <algorithm>
#include <set>
#include <map>
#include <vector>
#include <queue>

using namespace std;
typedef long long int ll;
const int maxn = 1e6 + 5;
const int INF = 1e9;
const ll inf = 1e18;

ll k, n;
vector<pair<ll, ll>> pos;
ll pre[maxn], suf[maxn];
priority_queue<ll> ql;
priority_queue<ll, vector<ll>, greater<ll>> qr;
ll suml = 0, sumr = 0;

void insert_queue(ll x)
{
    ll med;
    if(ql.size())   
        med = ql.top();
    else
        med = inf;

    if(x <= med)
        ql.push(x), suml += x;
    else    
        qr.push(x), sumr += x;

    if(ql.size() > qr.size() + 1)
    {
        ll t = ql.top();
        ql.pop(), suml -= t;
        qr.push(t), sumr += t;
    }
    else if(qr.size() > ql.size())
    {
        ll t = qr.top();
        qr.pop(), sumr -= t;
        ql.push(t), suml += t;
    }
}

int main()
{
    ios_base::sync_with_stdio(0);
    cin.tie(0); cout.tie(0);
    
    cin >> k >> n;
    ll tol_dis = 0;
    for(int i = 1; i <= n; i++)
    {
        char a, b;
        ll x, y;
        cin >> a >> x >> b >> y;
        if(x > y)
            swap(x, y);
        if(a == b)
            tol_dis += (y - x);
        else
            pos.push_back({x, y});
    }

    tol_dis += (int)pos.size();
    sort(pos.begin(), pos.end(), [&](const pair<ll, ll> &a, const pair<ll, ll> &b){
        if((a.first + a.second) == (b.first + b.second))
            return a < b;
        return (a.first + a.second) < (b.first + b.second);
    });

    for(int i = 0; i < (int)pos.size(); i++)
    {
        insert_queue(pos[i].first);
        insert_queue(pos[i].second);
        pre[i] = sumr - suml;
    }
    while(!ql.empty())
        ql.pop();
    while(!qr.empty())
        qr.pop();

    sumr = suml = 0;
    for(int i = (int)pos.size() - 1; i >= 0; i--)
    {
        insert_queue(pos[i].first);
        insert_queue(pos[i].second);
        suf[i] = sumr - suml;
    }

    ll ans = pre[(int)pos.size() - 1];

    if(k == 2)
    {
        for(int i = 0; i < (int)pos.size(); i++)
            ans = min(ans, pre[i] + suf[i + 1]);
    }

    cout << ans + tol_dis;
    // for(int i = 0; i < (int)pos.size(); i++)
    //     cout << pre[i] << ' ';
    // for(int i = 0; i < (int)pos.size(); i++)
    // {
    //     cout << pos[i].first << ' ' << pos[i].second << '\n';
    // }
}

Subtask #1
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 1 ms 2396 KB Output is correct
4 Correct 1 ms 2392 KB Output is correct
5 Correct 1 ms 2572 KB Output is correct
6 Correct 1 ms 2396 KB Output is correct
7 Correct 1 ms 2396 KB Output is correct
8 Correct 1 ms 2396 KB Output is correct
9 Correct 1 ms 2396 KB Output is correct
10 Correct 1 ms 2392 KB Output is correct
11 Correct 2 ms 2544 KB Output is correct

Subtask #2
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 348 KB Output is correct
2 Correct 0 ms 464 KB Output is correct
3 Correct 1 ms 2396 KB Output is correct
4 Correct 1 ms 2396 KB Output is correct
5 Correct 1 ms 2396 KB Output is correct
6 Correct 1 ms 2652 KB Output is correct
7 Correct 1 ms 2396 KB Output is correct
8 Correct 1 ms 2396 KB Output is correct
9 Correct 1 ms 2576 KB Output is correct
10 Correct 1 ms 2648 KB Output is correct
11 Correct 1 ms 2396 KB Output is correct
12 Correct 29 ms 12188 KB Output is correct
13 Correct 69 ms 13416 KB Output is correct
14 Correct 54 ms 12736 KB Output is correct
15 Correct 37 ms 8908 KB Output is correct
16 Correct 25 ms 12772 KB Output is correct
17 Correct 53 ms 13460 KB Output is correct
18 Correct 47 ms 12996 KB Output is correct
19 Correct 62 ms 13620 KB Output is correct
20 Correct 44 ms 13184 KB Output is correct
21 Correct 57 ms 13216 KB Output is correct

Subtask #3
9.0 / 9.0

# 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 2516 KB Output is correct
4 Correct 1 ms 2396 KB Output is correct
5 Correct 1 ms 2396 KB Output is correct
6 Correct 1 ms 2396 KB Output is correct
7 Correct 1 ms 2396 KB Output is correct
8 Correct 1 ms 2648 KB Output is correct
9 Correct 1 ms 2396 KB Output is correct
10 Correct 1 ms 2392 KB Output is correct
11 Correct 1 ms 2392 KB Output is correct
12 Correct 1 ms 2392 KB Output is correct

Subtask #4
32.0 / 32.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 1 ms 2392 KB Output is correct
4 Correct 1 ms 2392 KB Output is correct
5 Correct 1 ms 2396 KB Output is correct
6 Correct 1 ms 2396 KB Output is correct
7 Correct 1 ms 2396 KB Output is correct
8 Correct 1 ms 2648 KB Output is correct
9 Correct 1 ms 2512 KB Output is correct
10 Correct 1 ms 2396 KB Output is correct
11 Correct 1 ms 2396 KB Output is correct
12 Correct 1 ms 2392 KB Output is correct
13 Correct 1 ms 2396 KB Output is correct
14 Correct 1 ms 2396 KB Output is correct
15 Correct 1 ms 2396 KB Output is correct
16 Correct 1 ms 2392 KB Output is correct
17 Correct 1 ms 2396 KB Output is correct
18 Correct 1 ms 2412 KB Output is correct
19 Correct 1 ms 2396 KB Output is correct
20 Correct 1 ms 2396 KB Output is correct
21 Correct 1 ms 2396 KB Output is correct
22 Correct 1 ms 2396 KB Output is correct
23 Correct 1 ms 2396 KB Output is correct
24 Correct 1 ms 2396 KB Output is correct

Subtask #5
37.0 / 37.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 1 ms 2396 KB Output is correct
4 Correct 1 ms 2396 KB Output is correct
5 Correct 1 ms 2392 KB Output is correct
6 Correct 1 ms 2396 KB Output is correct
7 Correct 1 ms 2396 KB Output is correct
8 Correct 1 ms 2396 KB Output is correct
9 Correct 1 ms 2396 KB Output is correct
10 Correct 1 ms 2516 KB Output is correct
11 Correct 1 ms 2392 KB Output is correct
12 Correct 1 ms 2396 KB Output is correct
13 Correct 1 ms 2396 KB Output is correct
14 Correct 1 ms 2396 KB Output is correct
15 Correct 1 ms 2396 KB Output is correct
16 Correct 1 ms 2396 KB Output is correct
17 Correct 1 ms 2396 KB Output is correct
18 Correct 1 ms 2392 KB Output is correct
19 Correct 1 ms 2392 KB Output is correct
20 Correct 1 ms 2396 KB Output is correct
21 Correct 1 ms 2396 KB Output is correct
22 Correct 1 ms 2392 KB Output is correct
23 Correct 1 ms 2404 KB Output is correct
24 Correct 1 ms 2400 KB Output is correct
25 Correct 29 ms 11976 KB Output is correct
26 Correct 46 ms 12224 KB Output is correct
27 Correct 62 ms 13424 KB Output is correct
28 Correct 67 ms 14280 KB Output is correct
29 Correct 65 ms 14040 KB Output is correct
30 Correct 34 ms 8396 KB Output is correct
31 Correct 25 ms 12828 KB Output is correct
32 Correct 63 ms 13512 KB Output is correct
33 Correct 51 ms 13020 KB Output is correct
34 Correct 58 ms 13440 KB Output is correct
35 Correct 39 ms 13004 KB Output is correct
36 Correct 56 ms 13248 KB Output is correct
37 Correct 24 ms 11980 KB Output is correct