Submission #567025

# Submission time Handle Problem Language Result Execution time Memory
567025 2022-05-23T07:23:23 Z shrimb Kitchen (BOI19_kitchen) C++17
72 / 100
1000 ms 107180 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 (i == m) {
        if (sm >= smA and sm2/n >= k) return sm - smA;
        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 0 ms 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Correct 0 ms 212 KB Output is correct
5 Correct 0 ms 212 KB Output is correct
6 Correct 0 ms 212 KB Output is correct
7 Correct 0 ms 212 KB Output is correct
8 Correct 1 ms 212 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Correct 0 ms 212 KB Output is correct
5 Correct 0 ms 212 KB Output is correct
6 Correct 0 ms 212 KB Output is correct
7 Correct 0 ms 212 KB Output is correct
8 Correct 1 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 1 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 96 ms 107052 KB Output is correct
2 Correct 73 ms 107072 KB Output is correct
3 Correct 137 ms 107064 KB Output is correct
4 Correct 181 ms 107180 KB Output is correct
5 Correct 1 ms 212 KB Output is correct
6 Correct 90 ms 107028 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 43 ms 4816 KB Output is correct
2 Correct 689 ms 37604 KB Output is correct
3 Correct 14 ms 1492 KB Output is correct
4 Correct 11 ms 1480 KB Output is correct
5 Correct 1 ms 212 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Correct 0 ms 212 KB Output is correct
5 Correct 0 ms 212 KB Output is correct
6 Correct 0 ms 212 KB Output is correct
7 Correct 0 ms 212 KB Output is correct
8 Correct 1 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 1 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 96 ms 107052 KB Output is correct
15 Correct 73 ms 107072 KB Output is correct
16 Correct 137 ms 107064 KB Output is correct
17 Correct 181 ms 107180 KB Output is correct
18 Correct 1 ms 212 KB Output is correct
19 Correct 90 ms 107028 KB Output is correct
20 Correct 43 ms 4816 KB Output is correct
21 Correct 689 ms 37604 KB Output is correct
22 Correct 14 ms 1492 KB Output is correct
23 Correct 11 ms 1480 KB Output is correct
24 Correct 1 ms 212 KB Output is correct
25 Execution timed out 1088 ms 88796 KB Time limit exceeded
26 Halted 0 ms 0 KB -