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Submission #1017810

# Submission time Handle Problem Language Result Execution time Memory
1017810 2024-07-09T10:22:29 Z aufan Palembang Bridges (APIO15_bridge) C++17
100 / 100
 67 ms 7480 KB 
#include <bits/stdc++.h>
#define int long long
#define fi first
#define se second
 
using namespace std;
 
const int inff = 1e18;
 
int32_t main()
{
        ios_base::sync_with_stdio(false);
        cin.tie(NULL);
        
        int k, n;
        cin >> k >> n;
 
        int ans = 0;
        vector<int> a, b;
        for (int i = 0; i < n; i++) {
                char p, q;
                int s, t;
                cin >> p >> s >> q >> t;
 
                if (p == q) {
                        ans += abs(s - t);
                } else {
                        if (s > t) swap(s, t);
                        a.push_back(s);
                        b.push_back(t);
                }
        }
 
        if (k == 1) {
                int m = (int)a.size();
                vector<int> c;
                for (int i = 0; i < m; i++) {
                        c.push_back(a[i]);
                        c.push_back(b[i]);
                }
                sort(c.begin(), c.end());
                
                ans += m;
                for (int i = 0; i < 2 * m; i++) {
                        ans += abs(c[i] - c[m]);
                }
 
                cout << ans << '\n';
        } else if (k == 2) {
                int m = (int)a.size();
                vector<pair<int, int>> c;
                for (int i = 0; i < m; i++) {
                        c.push_back({a[i], b[i]});
                }
                sort(c.begin(), c.end(), [&](pair<int, int> x, pair<int, int> y) {
                        return x.fi + x.se < y.fi + y.se;
                });
 
                int sl = 0, sr = 0;
                vector<int> pref(m);
                priority_queue<int> le;
                priority_queue<int, vector<int>, greater<int>> ri;
                for (int i = 0; i < m; i++) {
                        auto [a, b] = c[i];
                        sl += a;
                        le.push(a);
                        sr += b;
                        ri.push(b);
                        while (le.top() > ri.top()) {
                                sr += le.top();
                                ri.push(le.top());
                                sl += ri.top();
                                le.push(ri.top());
                                sr -= ri.top();
                                ri.pop();
                                sl -= le.top();
                                le.pop();
                        }
 
                        pref[i] = ((i + 1) * le.top() - sl) + (sr - (i + 1) * le.top());
                }
 
                sl = sr = 0;
                while (!le.empty()) le.pop();
                while (!ri.empty()) ri.pop();
                vector<int> suf(m);
                for (int i = m - 1; i >= 0; i--) {
                        auto [a, b] = c[i];
                        sl += a;
                        le.push(a);
                        sr += b;
                        ri.push(b);
                        while (le.top() > ri.top()) {
                                sr += le.top();
                                ri.push(le.top());
                                sl += ri.top();
                                le.push(ri.top());
                                sr -= ri.top();
                                ri.pop();
                                sl -= le.top();
                                le.pop();
                        }
 
                        suf[i] = ((m - i) * le.top() - sl) + (sr - (m - i) * le.top());
                }
 
                int mn = inff;
                ans += m;
                for (int i = 0; i < m - 1; i++) mn = min(mn, pref[i] + suf[i + 1]);
                if (m == 0) mn = 0;     
                ans += mn;
 
                cout << ans << '\n';
        }
        
        return 0;
}

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 0 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 1 ms 348 KB Output is correct
10 Correct 1 ms 348 KB Output is correct
11 Correct 0 ms 348 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 0 ms 344 KB Output is correct
4 Correct 1 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 1 ms 348 KB Output is correct
7 Correct 1 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 1 ms 348 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 0 ms 348 KB Output is correct
12 Correct 17 ms 4220 KB Output is correct
13 Correct 31 ms 4168 KB Output is correct
14 Correct 22 ms 3912 KB Output is correct
15 Correct 17 ms 2392 KB Output is correct
16 Correct 17 ms 4172 KB Output is correct
17 Correct 21 ms 4164 KB Output is correct
18 Correct 23 ms 4168 KB Output is correct
19 Correct 28 ms 4188 KB Output is correct
20 Correct 19 ms 4164 KB Output is correct
21 Correct 26 ms 4168 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 0 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 344 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 0 ms 348 KB Output is correct
12 Correct 0 ms 392 KB Output is correct

Subtask #4
32.0 / 32.0

# 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 0 ms 348 KB Output is correct
4 Correct 1 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 1 ms 348 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 0 ms 348 KB Output is correct
12 Correct 0 ms 348 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 1 ms 348 KB Output is correct
15 Correct 1 ms 348 KB Output is correct
16 Correct 0 ms 348 KB Output is correct
17 Correct 0 ms 348 KB Output is correct
18 Correct 0 ms 348 KB Output is correct
19 Correct 0 ms 348 KB Output is correct
20 Correct 1 ms 348 KB Output is correct
21 Correct 0 ms 348 KB Output is correct
22 Correct 1 ms 348 KB Output is correct
23 Correct 0 ms 348 KB Output is correct
24 Correct 1 ms 348 KB Output is correct

Subtask #5
37.0 / 37.0

# 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 344 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 0 ms 348 KB Output is correct
12 Correct 1 ms 348 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 1 ms 344 KB Output is correct
15 Correct 1 ms 344 KB Output is correct
16 Correct 1 ms 348 KB Output is correct
17 Correct 0 ms 348 KB Output is correct
18 Correct 0 ms 348 KB Output is correct
19 Correct 0 ms 348 KB Output is correct
20 Correct 1 ms 348 KB Output is correct
21 Correct 1 ms 348 KB Output is correct
22 Correct 1 ms 356 KB Output is correct
23 Correct 1 ms 348 KB Output is correct
24 Correct 1 ms 356 KB Output is correct
25 Correct 27 ms 7224 KB Output is correct
26 Correct 51 ms 7232 KB Output is correct
27 Correct 62 ms 7084 KB Output is correct
28 Correct 64 ms 7228 KB Output is correct
29 Correct 67 ms 7480 KB Output is correct
30 Correct 32 ms 4064 KB Output is correct
31 Correct 21 ms 7240 KB Output is correct
32 Correct 58 ms 7232 KB Output is correct
33 Correct 33 ms 7328 KB Output is correct
34 Correct 63 ms 7232 KB Output is correct
35 Correct 42 ms 7240 KB Output is correct
36 Correct 62 ms 7244 KB Output is correct
37 Correct 17 ms 7232 KB Output is correct