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Submission #1058943

# Submission time Handle Problem Language Result Execution time Memory
1058943 2024-08-14T15:13:59 Z sammyuri Palembang Bridges (APIO15_bridge) C++17
63 / 100
 2000 ms 15972 KB 
#include <bits/stdc++.h>
using namespace std;

typedef long long ll;

ll base_cost;
int n, k;
vector<pair<int, int>> paths;

ll check(int firstbridge, bool skip = false) {
    // all paths that start on the left of firstbridge must use it
    // so we only care about paths entirely to the right
    // for each of those paths, keep track of when cost stops decreasing,
    // and when it starts increasing
    ll overhead = 0;
    ll diff = 0;
    map<int, ll> dx;
    for (int i = 0; i < n; i ++) {
        if (paths[i].second < firstbridge || paths[i].first > firstbridge)
            overhead += (ll)abs(firstbridge - paths[i].first) + abs(firstbridge - paths[i].second);
        else
            overhead += (ll)abs(paths[i].second - paths[i].first);
        if (skip || paths[i].first > firstbridge) {
            diff -= 2;
            dx[paths[i].first] += 2;
            dx[paths[i].second] += 2;
            if (!skip) {
                ll min_eq = paths[i].second + (paths[i].first - firstbridge);
                if (min_eq <= 1000000000)
                    dx[min_eq] -= 2;
            }
        }
    }
    int last = firstbridge;
    ll best = overhead;
    for (auto a : dx) {
        int curdist = a.first, dd = a.second;
        overhead += (ll)(curdist - last) * diff;
        diff += dd;
        best = min(best, overhead);
        // cout << a.first << " " << overhead + base_cost << endl;
        last = curdist;
    }
    return best;
}


int main() {
    cin >> k >> n;
    base_cost = 0;
    for (int i = 0; i < n; i ++) {
        char a, b;
        int x, y;
        cin >> a >> x >> b >> y;
        if (a == b) {
            base_cost += abs(y - x);
        } else {
            base_cost ++;
            paths.push_back({min(x, y), max(x, y)});
        }
    }
    n = paths.size();
    sort(paths.begin(), paths.end());
    if (n == 0) {
        cout << base_cost << endl; return 0;
    }
    if (k == 1) {
        cout << check(0, true) + base_cost << endl; return 0;
    }
    // brute force
    ll best = 1e18;
    for (int i = 0; i < n; i ++) {
        best = min(best, check(paths[i].first, false));
        best = min(best, check(paths[i].second, false));
    }
    cout << best + base_cost << endl; return 0;
}

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

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 2 ms 344 KB Output is correct
5 Correct 1 ms 348 KB Output is correct
6 Correct 1 ms 472 KB Output is correct
7 Correct 1 ms 344 KB Output is correct
8 Correct 1 ms 348 KB Output is correct
9 Correct 1 ms 348 KB Output is correct
10 Correct 1 ms 344 KB Output is correct
11 Correct 1 ms 344 KB Output is correct

Subtask #2
14.0 / 14.0

# 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 2 ms 348 KB Output is correct
5 Correct 1 ms 348 KB Output is correct
6 Correct 1 ms 348 KB Output is correct
7 Correct 2 ms 348 KB Output is correct
8 Correct 1 ms 348 KB Output is correct
9 Correct 1 ms 512 KB Output is correct
10 Correct 1 ms 444 KB Output is correct
11 Correct 1 ms 348 KB Output is correct
12 Correct 24 ms 2116 KB Output is correct
13 Correct 107 ms 15812 KB Output is correct
14 Correct 45 ms 2756 KB Output is correct
15 Correct 58 ms 9412 KB Output is correct
16 Correct 37 ms 2772 KB Output is correct
17 Correct 79 ms 15972 KB Output is correct
18 Correct 86 ms 15512 KB Output is correct
19 Correct 88 ms 15244 KB Output is correct
20 Correct 42 ms 3176 KB Output is correct
21 Correct 84 ms 15664 KB Output is correct

Subtask #3
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 348 KB Output is correct
2 Correct 1 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 1 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 2 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 1 ms 432 KB Output is correct
12 Correct 1 ms 348 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 348 KB Output is correct
4 Correct 1 ms 348 KB Output is correct
5 Correct 1 ms 600 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 2 ms 348 KB Output is correct
9 Correct 1 ms 448 KB Output is correct
10 Correct 1 ms 348 KB Output is correct
11 Correct 1 ms 348 KB Output is correct
12 Correct 1 ms 348 KB Output is correct
13 Correct 4 ms 348 KB Output is correct
14 Correct 39 ms 436 KB Output is correct
15 Correct 149 ms 448 KB Output is correct
16 Correct 1 ms 348 KB Output is correct
17 Correct 17 ms 348 KB Output is correct
18 Correct 23 ms 604 KB Output is correct
19 Correct 6 ms 468 KB Output is correct
20 Correct 172 ms 604 KB Output is correct
21 Correct 69 ms 348 KB Output is correct
22 Correct 184 ms 600 KB Output is correct
23 Correct 5 ms 348 KB Output is correct
24 Correct 130 ms 348 KB Output is correct

Subtask #5
0 / 37.0

# 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 2 ms 436 KB Output is correct
5 Correct 1 ms 344 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 3 ms 348 KB Output is correct
9 Correct 1 ms 348 KB Output is correct
10 Correct 3 ms 348 KB Output is correct
11 Correct 1 ms 344 KB Output is correct
12 Correct 1 ms 348 KB Output is correct
13 Correct 4 ms 452 KB Output is correct
14 Correct 37 ms 344 KB Output is correct
15 Correct 176 ms 600 KB Output is correct
16 Correct 1 ms 348 KB Output is correct
17 Correct 13 ms 456 KB Output is correct
18 Correct 27 ms 344 KB Output is correct
19 Correct 3 ms 348 KB Output is correct
20 Correct 176 ms 604 KB Output is correct
21 Correct 65 ms 560 KB Output is correct
22 Correct 201 ms 604 KB Output is correct
23 Correct 5 ms 344 KB Output is correct
24 Correct 149 ms 348 KB Output is correct
25 Execution timed out 2023 ms 2256 KB Time limit exceeded
26 Halted 0 ms 0 KB -