oj.uz

Submission #1111259

# Submission time Handle Problem Language Result Execution time Memory
1111259 2024-11-11T21:55:03 Z borisAngelov Group Photo (JOI21_ho_t3) C++17
44 / 100
 5000 ms 508 KB 
#include <bits/stdc++.h>

using namespace std;

const int maxn = 5005;
const int inf = 1e9;

int n;
int a[maxn], positions[maxn], toRem[maxn];

int dp[maxn];

struct FenwickTree
{
    int tree[maxn];

    void update(int pos, int val)
    {
        for (; pos <= n; pos += (pos & (-pos)))
        {
            tree[pos] += val;
        }
    }

    int query(int pos)
    {
        int result = 0;

        for (; pos >= 1; pos -= (pos & (-pos)))
        {
            result += tree[pos];
        }

        return result;
    }
};

FenwickTree bit;

void fastIO()
{
    ios_base::sync_with_stdio(0);
    cin.tie(0);
    cout.tie(0);
}

int main()
{
    fastIO();

    cin >> n;

    for (int i = 1; i <= n; ++i)
    {
        cin >> a[i];
        positions[a[i]] = i;
    }

    dp[n + 1] = 0;

    for (int num = n; num >= 1; --num)
    {
        dp[num] = inf;

        for (int to = num; to <= n; ++to)
        {
            vector<int> toClear;

            for (int j = to + 1; j <= n; ++j)
            {
                bit.update(positions[j], +1);
                toClear.push_back(positions[j]);
            }

            for (int i = num; i <= to; ++i)
            {
                toRem[i] = bit.query(positions[i] - 1);
            }

            for (auto pos : toClear)
            {
                bit.update(pos, -1);
            }

            toClear.clear();

            int cost = 0, inv = 0;
            vector<pair<int, int>> actualPos;

            for (int i = num; i <= to; ++i)
            {
                int newPos = positions[i] - toRem[i];
                //cout << "here for " << i << " -> " << newPos << endl;
                actualPos.push_back({newPos, i});
            }

            sort(actualPos.begin(), actualPos.end(), greater<pair<int, int>>());

            for (int i = 0; i < actualPos.size(); ++i)
            {
                cost += abs((to - i) - actualPos[i].first);
            }

            for (int i = 0; i < actualPos.size(); ++i)
            {
                inv += bit.query(actualPos[i].second - 1);
                bit.update(actualPos[i].second, +1);
                toClear.push_back(actualPos[i].second);
            }

            for (auto pos : toClear)
            {
                bit.update(pos, -1);
            }

            int cntNums = to - num + 1;

            cost += (cntNums * (cntNums - 1)) / 2 - inv;

            //cout << num << " " << to << " :: " << cost << endl;

            dp[num] = min(dp[num], cost + dp[to + 1]);
        }

        //cout << num << " ::: " << dp[num] << endl;
    }

    cout << dp[1] << endl;

    return 0;
}

Compilation message

Main.cpp: In function 'int main()':
Main.cpp:99:31: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::pair<int, int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   99 |             for (int i = 0; i < actualPos.size(); ++i)
      |                             ~~^~~~~~~~~~~~~~~~~~
Main.cpp:104:31: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::pair<int, int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  104 |             for (int i = 0; i < actualPos.size(); ++i)
      |                             ~~^~~~~~~~~~~~~~~~~~

Subtask #1
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 336 KB Output is correct
2 Correct 1 ms 508 KB Output is correct
3 Correct 1 ms 336 KB Output is correct
4 Correct 1 ms 504 KB Output is correct
5 Correct 1 ms 336 KB Output is correct
6 Correct 1 ms 504 KB Output is correct
7 Correct 1 ms 336 KB Output is correct
8 Correct 1 ms 336 KB Output is correct
9 Correct 1 ms 336 KB Output is correct
10 Correct 1 ms 336 KB Output is correct

Subtask #2
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 336 KB Output is correct
2 Correct 1 ms 508 KB Output is correct
3 Correct 1 ms 336 KB Output is correct
4 Correct 1 ms 504 KB Output is correct
5 Correct 1 ms 336 KB Output is correct
6 Correct 1 ms 504 KB Output is correct
7 Correct 1 ms 336 KB Output is correct
8 Correct 1 ms 336 KB Output is correct
9 Correct 1 ms 336 KB Output is correct
10 Correct 1 ms 336 KB Output is correct
11 Correct 1 ms 336 KB Output is correct
12 Correct 1 ms 508 KB Output is correct
13 Correct 1 ms 336 KB Output is correct
14 Correct 1 ms 336 KB Output is correct
15 Correct 1 ms 336 KB Output is correct
16 Correct 1 ms 336 KB Output is correct
17 Correct 1 ms 336 KB Output is correct
18 Correct 1 ms 504 KB Output is correct
19 Correct 1 ms 336 KB Output is correct
20 Correct 1 ms 336 KB Output is correct

Subtask #3
32.0 / 32.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 336 KB Output is correct
2 Correct 1 ms 508 KB Output is correct
3 Correct 1 ms 336 KB Output is correct
4 Correct 1 ms 504 KB Output is correct
5 Correct 1 ms 336 KB Output is correct
6 Correct 1 ms 504 KB Output is correct
7 Correct 1 ms 336 KB Output is correct
8 Correct 1 ms 336 KB Output is correct
9 Correct 1 ms 336 KB Output is correct
10 Correct 1 ms 336 KB Output is correct
11 Correct 1 ms 336 KB Output is correct
12 Correct 1 ms 508 KB Output is correct
13 Correct 1 ms 336 KB Output is correct
14 Correct 1 ms 336 KB Output is correct
15 Correct 1 ms 336 KB Output is correct
16 Correct 1 ms 336 KB Output is correct
17 Correct 1 ms 336 KB Output is correct
18 Correct 1 ms 504 KB Output is correct
19 Correct 1 ms 336 KB Output is correct
20 Correct 1 ms 336 KB Output is correct
21 Correct 88 ms 472 KB Output is correct
22 Correct 83 ms 336 KB Output is correct
23 Correct 81 ms 336 KB Output is correct
24 Correct 81 ms 336 KB Output is correct
25 Correct 82 ms 336 KB Output is correct
26 Correct 83 ms 472 KB Output is correct
27 Correct 87 ms 336 KB Output is correct
28 Correct 82 ms 508 KB Output is correct
29 Correct 82 ms 336 KB Output is correct
30 Correct 83 ms 476 KB Output is correct

Subtask #4
0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 336 KB Output is correct
2 Correct 1 ms 508 KB Output is correct
3 Correct 1 ms 336 KB Output is correct
4 Correct 1 ms 504 KB Output is correct
5 Correct 1 ms 336 KB Output is correct
6 Correct 1 ms 504 KB Output is correct
7 Correct 1 ms 336 KB Output is correct
8 Correct 1 ms 336 KB Output is correct
9 Correct 1 ms 336 KB Output is correct
10 Correct 1 ms 336 KB Output is correct
11 Correct 1 ms 336 KB Output is correct
12 Correct 1 ms 508 KB Output is correct
13 Correct 1 ms 336 KB Output is correct
14 Correct 1 ms 336 KB Output is correct
15 Correct 1 ms 336 KB Output is correct
16 Correct 1 ms 336 KB Output is correct
17 Correct 1 ms 336 KB Output is correct
18 Correct 1 ms 504 KB Output is correct
19 Correct 1 ms 336 KB Output is correct
20 Correct 1 ms 336 KB Output is correct
21 Correct 88 ms 472 KB Output is correct
22 Correct 83 ms 336 KB Output is correct
23 Correct 81 ms 336 KB Output is correct
24 Correct 81 ms 336 KB Output is correct
25 Correct 82 ms 336 KB Output is correct
26 Correct 83 ms 472 KB Output is correct
27 Correct 87 ms 336 KB Output is correct
28 Correct 82 ms 508 KB Output is correct
29 Correct 82 ms 336 KB Output is correct
30 Correct 83 ms 476 KB Output is correct
31 Execution timed out 5048 ms 496 KB Time limit exceeded
32 Halted 0 ms 0 KB -

Subtask #5
0 / 36.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 336 KB Output is correct
2 Correct 1 ms 508 KB Output is correct
3 Correct 1 ms 336 KB Output is correct
4 Correct 1 ms 504 KB Output is correct
5 Correct 1 ms 336 KB Output is correct
6 Correct 1 ms 504 KB Output is correct
7 Correct 1 ms 336 KB Output is correct
8 Correct 1 ms 336 KB Output is correct
9 Correct 1 ms 336 KB Output is correct
10 Correct 1 ms 336 KB Output is correct
11 Correct 1 ms 336 KB Output is correct
12 Correct 1 ms 508 KB Output is correct
13 Correct 1 ms 336 KB Output is correct
14 Correct 1 ms 336 KB Output is correct
15 Correct 1 ms 336 KB Output is correct
16 Correct 1 ms 336 KB Output is correct
17 Correct 1 ms 336 KB Output is correct
18 Correct 1 ms 504 KB Output is correct
19 Correct 1 ms 336 KB Output is correct
20 Correct 1 ms 336 KB Output is correct
21 Correct 88 ms 472 KB Output is correct
22 Correct 83 ms 336 KB Output is correct
23 Correct 81 ms 336 KB Output is correct
24 Correct 81 ms 336 KB Output is correct
25 Correct 82 ms 336 KB Output is correct
26 Correct 83 ms 472 KB Output is correct
27 Correct 87 ms 336 KB Output is correct
28 Correct 82 ms 508 KB Output is correct
29 Correct 82 ms 336 KB Output is correct
30 Correct 83 ms 476 KB Output is correct
31 Execution timed out 5048 ms 496 KB Time limit exceeded
32 Halted 0 ms 0 KB -