Submission #918005

#TimeUsernameProblemLanguageResultExecution timeMemory
918005borisAngelovKitchen (BOI19_kitchen)C++17
100 / 100
68 ms111696 KiB
#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;
}
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