Submission #1131494

#TimeUsernameProblemLanguageResultExecution timeMemory
1131494SofiatpcKitchen (BOI19_kitchen)C++20
0 / 100
190 ms1152 KiB
#include <bits/stdc++.h>

using namespace std;

const int MAX = 305, INF = 1e9;
int a[MAX], s[MAX], b[MAX], v[MAX], dp[2][MAX][MAX], n,m,k;

void solve(){
    for(int i = 1; i <= n; i++)s[i] = s[i-1]+a[i];

    for(int i = 1; i <= n; i++)
        for(int v = 1; v <= 300; v++)dp[(m+1)%2][i][v] = INF;

    for(int x = m; x >= 1; x--){
        int j = x%2, nxt = (x+1)%2;
        for(int i = 1; i <= n; i++)
            for(int v = 1; v <= 300; v++){
                dp[j][i][v] = dp[nxt][i][v];

                int id = upper_bound(s+1,s+2+n, b[x] + s[i] - v)-s;

                if(id > n)dp[j][i][v] = min(dp[j][i][v], b[x] - (s[n]-s[i]) - v );
                else dp[j][i][v] = min(dp[j][i][v], dp[nxt][id][a[id] - (b[x] - (s[id-1]-s[i]) - v)] );
            }
    }

    if(dp[1][1][a[1]] == INF)cout<<"Impossible\n";
    else cout<<dp[1][1][a[1]]<<"\n";
}

int main(){
    ios_base::sync_with_stdio(0);
    cin.tie(0); cout.tie(0);

    cin>>n>>m>>k;

    if(k == 1){solve(); return 0; }

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

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

    int resp = INF;
    for(int mask = 1; mask < (1<<m); mask++){
        for(int i = 1; i <= m; i++)v[i-1] = b[i];

        int l,r;
        for(int i = 0; i < m; i++)
            if(mask & (1<<i)){l = i; break;}
        for(int i = m-1; i >= 0; i--)
            if(mask & (1<<i)){r = i; break;}

        int ans = 0;
        for(int i = 1; i <= n; i++){

            int x = a[i]-k;
            if(l == r){ans = -1; break;}

            int qtd = k;
            for(int j = l; j <= r; j++)
                if(mask & (1<<j)){
                    qtd--;
                    v[j]--;
                }
            if(qtd > 0){ans = -1; break;}

            while(!((mask & (1<<l))) || v[l]  == 0){
                l++;
                if(l > r){ans = -1; break;}
            }
            if(l > r) break;

            while(!((mask & (1<<r))) || v[r]  == 0){
                r--;
                if(l > r){ans = -1; break;}
            }
            if(l > r)break;

            while(v[r] < x){
                x -= v[r];
                v[r] = 0;
                while(!((mask & (1<<r))) || v[r]  == 0){
                    r--;
                    if(l > r){ans = -1; break;}
                }
                if(l > r)break;
            }
            if(l > r)break;

            v[r] -= x;
        }

        if(ans != -1){
            int cur = 0;
            for(int i = 0; i < m; i++)
                if((mask & (1<<r)))cur += v[i];
            resp = min(resp,cur);
        }
    }

    if(resp == INF)cout<<"Impossible\n";
    else cout<<resp<<"\n";
}
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