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Submission #918005

# Submission time Handle Problem Language Result Execution time Memory
918005 2024-01-29T11:12:25 Z borisAngelov Kitchen (BOI19_kitchen) C++17
100 / 100
 68 ms 111696 KB 
#include <bits/stdc++.h>

using namespace std;

const int maxn = 305;
const int maxsum = maxn * maxn;
const int inf = 1e9;

int n, m, k;

int a[maxn];
int b[maxn];

int dp[maxn][maxsum];

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

int main()
{
    fastIO();

    cin >> n >> m >> k;

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

    for (int i = 1; i <= m; ++i)
    {
        cin >> b[i];
    }

    for (int i = 1; i <= n; ++i)
    {
        if (a[i] < k)
        {
            cout << "Impossible" << endl;
            return 0;
        }
    }

    for (int i = 0; i < maxn; ++i)
    {
        for (int j = 0; j < maxsum; ++j)
        {
            dp[i][j] = -inf;
        }
    }

    int sumB = 0;

    for (int i = 1; i <= m; ++i)
    {
        sumB += b[i];
    }

    int sumA = 0;

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

    if (sumA > sumB)
    {
        cout << "Impossible" << endl;
        return 0;
    }

    dp[0][0] = 0;

    for (int pos = 1; pos <= m; ++pos)
    {
        for (int sum = 0; sum <= sumB; ++sum)
        {
            dp[pos][sum] = dp[pos - 1][sum];

            if (sum >= b[pos])
            {
                dp[pos][sum] = max(dp[pos][sum], min(b[pos], n) + dp[pos - 1][sum - b[pos]]);
            }
        }
    }

    for (int i = sumA; i <= sumB; ++i)
    {
        if (dp[m][i] >= n * k)
        {
            cout << i - sumA << endl;
            return 0;
        }
    }

    cout << "Impossible" << endl;

    return 0;
}

Subtask #1
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 26 ms 111440 KB Output is correct
2 Correct 25 ms 111452 KB Output is correct
3 Correct 25 ms 111376 KB Output is correct
4 Correct 25 ms 111268 KB Output is correct
5 Correct 25 ms 111352 KB Output is correct
6 Correct 0 ms 344 KB Output is correct
7 Correct 0 ms 344 KB Output is correct
8 Correct 30 ms 111444 KB Output is correct

Subtask #2
22.0 / 22.0

# Verdict Execution time Memory Grader output
1 Correct 26 ms 111440 KB Output is correct
2 Correct 25 ms 111452 KB Output is correct
3 Correct 25 ms 111376 KB Output is correct
4 Correct 25 ms 111268 KB Output is correct
5 Correct 25 ms 111352 KB Output is correct
6 Correct 0 ms 344 KB Output is correct
7 Correct 0 ms 344 KB Output is correct
8 Correct 30 ms 111444 KB Output is correct
9 Correct 26 ms 111452 KB Output is correct
10 Correct 26 ms 111352 KB Output is correct
11 Correct 25 ms 111444 KB Output is correct
12 Correct 25 ms 111452 KB Output is correct
13 Correct 25 ms 111452 KB Output is correct

Subtask #3
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 50 ms 111440 KB Output is correct
2 Correct 49 ms 111452 KB Output is correct
3 Correct 51 ms 111424 KB Output is correct
4 Correct 60 ms 111484 KB Output is correct
5 Correct 25 ms 111452 KB Output is correct
6 Correct 39 ms 111480 KB Output is correct

Subtask #4
21.0 / 21.0

# Verdict Execution time Memory Grader output
1 Correct 26 ms 111324 KB Output is correct
2 Correct 25 ms 111444 KB Output is correct
3 Correct 25 ms 111452 KB Output is correct
4 Correct 25 ms 111260 KB Output is correct
5 Correct 1 ms 344 KB Output is correct

Subtask #5
28.0 / 28.0

# Verdict Execution time Memory Grader output
1 Correct 26 ms 111440 KB Output is correct
2 Correct 25 ms 111452 KB Output is correct
3 Correct 25 ms 111376 KB Output is correct
4 Correct 25 ms 111268 KB Output is correct
5 Correct 25 ms 111352 KB Output is correct
6 Correct 0 ms 344 KB Output is correct
7 Correct 0 ms 344 KB Output is correct
8 Correct 30 ms 111444 KB Output is correct
9 Correct 26 ms 111452 KB Output is correct
10 Correct 26 ms 111352 KB Output is correct
11 Correct 25 ms 111444 KB Output is correct
12 Correct 25 ms 111452 KB Output is correct
13 Correct 25 ms 111452 KB Output is correct
14 Correct 50 ms 111440 KB Output is correct
15 Correct 49 ms 111452 KB Output is correct
16 Correct 51 ms 111424 KB Output is correct
17 Correct 60 ms 111484 KB Output is correct
18 Correct 25 ms 111452 KB Output is correct
19 Correct 39 ms 111480 KB Output is correct
20 Correct 26 ms 111324 KB Output is correct
21 Correct 25 ms 111444 KB Output is correct
22 Correct 25 ms 111452 KB Output is correct
23 Correct 25 ms 111260 KB Output is correct
24 Correct 1 ms 344 KB Output is correct
25 Correct 49 ms 111488 KB Output is correct
26 Correct 47 ms 111452 KB Output is correct
27 Correct 32 ms 111416 KB Output is correct
28 Correct 50 ms 111444 KB Output is correct
29 Correct 52 ms 111696 KB Output is correct
30 Correct 68 ms 111488 KB Output is correct