제출 #648525

#제출 시각아이디문제언어결과실행 시간메모리
648525LoboKitchen (BOI19_kitchen)C++17
100 / 100
68 ms138980 KiB
#include<bits/stdc++.h>
using namespace std;
const long long inf = (long long) 1e18 + 10;
const int inf1 = (int) 1e9 + 10;
#define int long long
#define dbl long double
#define endl '\n'
#define sc second
#define fr first
#define mp make_pair
#define pb push_back
#define all(x) x.begin(), x.end()

const int maxn = 303;

int n, m, k, a[maxn], b[maxn];
int m1, m2, b1[maxn], b2[maxn], mv1, mv2;
int dp1[maxn][maxn*maxn], dp2[maxn][maxn*maxn], wtf[maxn*maxn];

void solve() {
    cin >> n >> m >> k;

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

    int sma = 0;
    for(int i = 1; i <= n; i++) {
        sma+= a[i];
        if(a[i] < k) {
            cout << "Impossible" << endl;
            return;
        }
    }
    int smb = 0;
    for(int i = 1; i <= m; i++) {
        smb+= b[i];
        if(b[i] <= n) {
            b1[++m1] = b[i];
            mv1+= b[i];
        }
        else {
            b2[++m2] = b[i];
            mv2+= b[i];
        }
    }

    if(m < k || smb < sma) {
        cout << "Impossible" << endl;
        return;
    }

    dp1[0][0] = 1;
    for(int i = 1; i <= m1; i++) {
        for(int j = 0; j <= mv1; j++) {
            dp1[i][j] = dp1[i-1][j];
            if(j-b1[i] >= 0) dp1[i][j]|= dp1[i-1][j-b1[i]];
        }
    }

    dp2[0][0] = 0;
    for(int i = 1; i <= mv2; i++) dp2[0][i] = -inf;
    for(int i = 1; i <= m2; i++) {
        for(int j = 0; j <= mv2; j++) {
            dp2[i][j] = dp2[i-1][j];
            if(j-b2[i] >= 0) dp2[i][j] = max(dp2[i][j],dp2[i-1][j-b2[i]]+1);
        }
    }

    int ans = inf;
    // for(int i = 0; i <= mv1; i++) {
    //     if(dp1[m1][i] == 0) continue;
    //     for(int j = 0; j <= mv2; j++) {
    //         if(j >= sma-i && dp2[m2][j]*n >= n*k-i) {
    //             ans = min(ans, i+j-sma);
    //         }
    //     }
    // }

    for(int i = 0; i <= mv1; i++) {
        wtf[i] = inf;
    }

    int r = mv2+1;
    int cur = inf;
    for(int i = 0; i <= mv1; i++) {
        while(i+r-1 >= sma && r-1 >= 0) {
            r--;
            if(dp2[m2][r] < 0) continue;
            if(n*k - dp2[m2][r]*n <= i) cur = min(cur,r);
            else wtf[n*k - dp2[m2][r]*n] = min(wtf[n*k - dp2[m2][r]*n],r);
        }
        cur = min(cur,wtf[i]);
        if(dp1[m1][i] == 1) ans = min(ans, i+cur-sma);
    }


    if(ans > smb-sma) cout << "Impossible" << endl;
    else cout << ans << endl;
}

int32_t main() {
    ios::sync_with_stdio(false); cin.tie(0);

    // freopen("in.in", "r", stdin);
    // freopen("out.out", "w", stdout);
    int tt = 1;
    // cin >> tt;
    while(tt--) {
        solve();
    }

}
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