Submission #567179

# Submission time Handle Problem Language Result Execution time Memory
567179 2022-05-23T08:51:46 Z shrimb Kitchen (BOI19_kitchen) C++17
72 / 100
1000 ms 107060 KB
#pragma GCC optimize ("Ofast")
#pragma GCC target ("avx,avx2,fma")

#include"bits/stdc++.h"
using namespace std;

#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
using namespace __gnu_pbds;

template<class x>
using ordered_set = tree<x, null_type,less<x>, rb_tree_tag,tree_order_statistics_node_update>;

// #define int long long
#define endl '\n'
#define mod 1000000007
//\
#define mod 1686876991

const int maxn = 301;

int n, m, k, cntAK, cntBN, smA, smB, ans = 1e9;

int A[maxn], B[maxn];

int dp3[maxn][maxn*maxn];
// int dp4[40][40*40][40*40];
map<array<int,3>, int> dp4;

int rec3 (int i, int sm) {
    if (sm >= smA) return sm - smA;
    if (i == m) return 1e9;
    if (dp3[i][sm] != -1) return dp3[i][sm];
    return dp3[i][sm] = min(rec3(i + 1, sm), rec3(i + 1, sm + B[i]));
}

int rec4 (int i, int sm, int sm2) {
    if (sm >= smA and sm2/n >= k) return sm - smA;
    if (i == m) {
        return 1e9;
    }
    // if (dp4[i][sm][sm2] != -1) return dp4[i][sm][sm2];
    if (dp4.count({i, sm, sm2})) return dp4[{i, sm, sm2}];
    // return dp4[i][sm][sm2] = max(rec4(i + 1, sm, sm2), rec4(i + 1, sm + B[i], sm2 + min(B[i], n)));
    return dp4[{i, sm, sm2}] = min(rec4(i + 1, sm, sm2), rec4(i + 1, sm + B[i], sm2 + min(B[i], n)));
}

signed main () {
    cin.tie(0)->sync_with_stdio(0);
    cin >> n >> m >> k;
    for (int i = 0 ; i < n ; i++) {
        cin >> A[i];
        smA += A[i];
        if (A[i] < k) cntAK++;
    }
    for (int i = 0 ; i < m ; i++) {
        cin >> B[i];
        cntBN += min(n, B[i]);
        smB += B[i];
    }
    if (m < k || smB < smA || cntBN/n < k || cntAK) {
        // assert(0);
        cout << "Impossible\n";
        return 0;
    }
    if (m <= 15) { // subtasks 1 and 2
        for (int i = 0 ; i < (1 << m) ; i++) {
            smB = 0, cntBN = 0;
            if (__builtin_popcount(i) < k) continue;
            for (int j = 0 ; j < m ; j++) {
                if (i & (1 << j)) {
                    smB += B[j];
                    cntBN += min(n, B[j]);
                }
            }
            if (smB >= smA and cntBN/n >= k) ans = min(ans, smB - smA);
        }
        cout << ans << endl;
        return 0;
    }
    if (k == 1) {
        memset(dp3, -1, sizeof dp3);
        cout << rec3(0, 0) << endl;
        return 0;
    }
    // if (max({n, m, k, *max_element(A, A+n), *max_element(B,B+m)}) <= 40) {
        // memset(dp4, -1, sizeof dp4);
        cout << rec4(0,0,0) << endl;
        return 0;
    // }
}


/*

impossible:

- M < K
- sum of B < sum of A
- the number of (B >= N) is < K
- theres an A which is < K

*/

Compilation message

kitchen.cpp:17:1: warning: multi-line comment [-Wcomment]
   17 | //\
      | ^
# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 1 ms 212 KB Output is correct
3 Correct 1 ms 212 KB Output is correct
4 Correct 1 ms 212 KB Output is correct
5 Correct 0 ms 212 KB Output is correct
6 Correct 1 ms 212 KB Output is correct
7 Correct 0 ms 212 KB Output is correct
8 Correct 0 ms 212 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 1 ms 212 KB Output is correct
3 Correct 1 ms 212 KB Output is correct
4 Correct 1 ms 212 KB Output is correct
5 Correct 0 ms 212 KB Output is correct
6 Correct 1 ms 212 KB Output is correct
7 Correct 0 ms 212 KB Output is correct
8 Correct 0 ms 212 KB Output is correct
9 Correct 1 ms 212 KB Output is correct
10 Correct 1 ms 212 KB Output is correct
11 Correct 0 ms 212 KB Output is correct
12 Correct 1 ms 212 KB Output is correct
13 Correct 1 ms 212 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 107 ms 107056 KB Output is correct
2 Correct 102 ms 107020 KB Output is correct
3 Correct 154 ms 107060 KB Output is correct
4 Correct 197 ms 107060 KB Output is correct
5 Correct 1 ms 340 KB Output is correct
6 Correct 88 ms 107048 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 51 ms 4668 KB Output is correct
2 Correct 744 ms 37492 KB Output is correct
3 Correct 15 ms 1476 KB Output is correct
4 Correct 13 ms 1436 KB Output is correct
5 Correct 0 ms 212 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 1 ms 212 KB Output is correct
3 Correct 1 ms 212 KB Output is correct
4 Correct 1 ms 212 KB Output is correct
5 Correct 0 ms 212 KB Output is correct
6 Correct 1 ms 212 KB Output is correct
7 Correct 0 ms 212 KB Output is correct
8 Correct 0 ms 212 KB Output is correct
9 Correct 1 ms 212 KB Output is correct
10 Correct 1 ms 212 KB Output is correct
11 Correct 0 ms 212 KB Output is correct
12 Correct 1 ms 212 KB Output is correct
13 Correct 1 ms 212 KB Output is correct
14 Correct 107 ms 107056 KB Output is correct
15 Correct 102 ms 107020 KB Output is correct
16 Correct 154 ms 107060 KB Output is correct
17 Correct 197 ms 107060 KB Output is correct
18 Correct 1 ms 340 KB Output is correct
19 Correct 88 ms 107048 KB Output is correct
20 Correct 51 ms 4668 KB Output is correct
21 Correct 744 ms 37492 KB Output is correct
22 Correct 15 ms 1476 KB Output is correct
23 Correct 13 ms 1436 KB Output is correct
24 Correct 0 ms 212 KB Output is correct
25 Execution timed out 1071 ms 80236 KB Time limit exceeded
26 Halted 0 ms 0 KB -