oj.uz

Submission #463613

# Submission time Handle Problem Language Result Execution time Memory
463613 2021-08-11T11:10:13 Z Duy_e Knapsack (NOI18_knapsack) C++14
100 / 100
 178 ms 4952 KB 
/*THINK GONNA FAIL ? IF U DIDNT FAIL THEN WHAT IS THE POINT OF LEARNING */
#include <bits/stdc++.h>
#define ll long long
#define pii pair<long long, long long>
#define ull unsigned long long
#define st first
#define nd second
#define lower_case_alphabet "abcdefghijklmnopqrstuvwxyz"
#define upper_case_alphabet "ABCDEFGHIJKLMNOPQRSTUVWXYZ"
#define file "test"
using namespace std;
const long long oo = 1e18;
const long long N = 1e5 + 5;

ll n, cnt, dp[N], A[N];
int s;
vector <pii> d[2004];

void decompose(int x){
    if (x == 0){ 
        cnt = -1;
        return;
    }
    cnt = 0;
    ll sum = 1;
    while (x > sum){
        x -= sum;
        A[cnt++] = sum;
        sum <<= 1;
    }
    A[cnt] = x;
}

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

    for (int i = 1, v, w, k; i <= n; i ++){
        cin >> v >> w >> k;
        k = min(k, s/w + 1);
        d[w].push_back({v, k});
    }

    for (int i = 1; i <= s; i ++)
    if (d[i].size()){
        sort(d[i].begin(), d[i].end(), greater<pii> ());
        int out = 0;
        for (pii p: d[i]){
            if (s/i < out) break;
            out ++;
            decompose(p.nd);
            for (ll W, V; cnt >= 0; cnt --){
                W = A[cnt]*i, V = A[cnt]*p.st;
                for (int j = s; j >= W; j --)
                    dp[j] = max(dp[j], dp[j-W] + V);
            }
        }
    }
    cout << dp[s];

    return 0;
}    
// sketch out every idea before see any solution, it helps alots.
/**  /\_/\
 *  (= ._.)
 *  / >0  \>1
**/

Subtask #1
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 332 KB Output is correct
2 Correct 0 ms 332 KB Output is correct
3 Correct 1 ms 332 KB Output is correct
4 Correct 0 ms 332 KB Output is correct

Subtask #2
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 332 KB Output is correct
2 Correct 1 ms 332 KB Output is correct
3 Correct 1 ms 332 KB Output is correct
4 Correct 1 ms 332 KB Output is correct
5 Correct 1 ms 332 KB Output is correct
6 Correct 1 ms 332 KB Output is correct
7 Correct 1 ms 332 KB Output is correct
8 Correct 1 ms 332 KB Output is correct
9 Correct 1 ms 332 KB Output is correct
10 Correct 1 ms 332 KB Output is correct

Subtask #3
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 332 KB Output is correct
2 Correct 1 ms 332 KB Output is correct
3 Correct 1 ms 332 KB Output is correct
4 Correct 1 ms 332 KB Output is correct
5 Correct 1 ms 332 KB Output is correct
6 Correct 1 ms 332 KB Output is correct
7 Correct 1 ms 332 KB Output is correct
8 Correct 1 ms 332 KB Output is correct
9 Correct 1 ms 332 KB Output is correct
10 Correct 1 ms 332 KB Output is correct
11 Correct 0 ms 332 KB Output is correct
12 Correct 2 ms 332 KB Output is correct
13 Correct 1 ms 332 KB Output is correct
14 Correct 1 ms 332 KB Output is correct
15 Correct 0 ms 332 KB Output is correct
16 Correct 1 ms 332 KB Output is correct
17 Correct 1 ms 332 KB Output is correct
18 Correct 1 ms 332 KB Output is correct
19 Correct 1 ms 332 KB Output is correct
20 Correct 1 ms 332 KB Output is correct

Subtask #4
24.0 / 24.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 332 KB Output is correct
2 Correct 0 ms 332 KB Output is correct
3 Correct 1 ms 332 KB Output is correct
4 Correct 0 ms 332 KB Output is correct
5 Correct 1 ms 332 KB Output is correct
6 Correct 1 ms 332 KB Output is correct
7 Correct 1 ms 332 KB Output is correct
8 Correct 1 ms 332 KB Output is correct
9 Correct 1 ms 332 KB Output is correct
10 Correct 1 ms 332 KB Output is correct
11 Correct 1 ms 332 KB Output is correct
12 Correct 1 ms 332 KB Output is correct
13 Correct 1 ms 332 KB Output is correct
14 Correct 1 ms 332 KB Output is correct
15 Correct 0 ms 332 KB Output is correct
16 Correct 2 ms 332 KB Output is correct
17 Correct 1 ms 332 KB Output is correct
18 Correct 1 ms 332 KB Output is correct
19 Correct 0 ms 332 KB Output is correct
20 Correct 1 ms 332 KB Output is correct
21 Correct 1 ms 332 KB Output is correct
22 Correct 1 ms 332 KB Output is correct
23 Correct 1 ms 332 KB Output is correct
24 Correct 1 ms 332 KB Output is correct
25 Correct 1 ms 332 KB Output is correct
26 Correct 2 ms 332 KB Output is correct
27 Correct 1 ms 332 KB Output is correct
28 Correct 1 ms 332 KB Output is correct
29 Correct 1 ms 332 KB Output is correct
30 Correct 1 ms 332 KB Output is correct
31 Correct 1 ms 332 KB Output is correct
32 Correct 1 ms 332 KB Output is correct
33 Correct 1 ms 332 KB Output is correct
34 Correct 1 ms 332 KB Output is correct

Subtask #5
27.0 / 27.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 332 KB Output is correct
2 Correct 0 ms 332 KB Output is correct
3 Correct 1 ms 332 KB Output is correct
4 Correct 0 ms 332 KB Output is correct
5 Correct 1 ms 332 KB Output is correct
6 Correct 1 ms 332 KB Output is correct
7 Correct 1 ms 332 KB Output is correct
8 Correct 1 ms 332 KB Output is correct
9 Correct 1 ms 332 KB Output is correct
10 Correct 1 ms 332 KB Output is correct
11 Correct 1 ms 332 KB Output is correct
12 Correct 1 ms 332 KB Output is correct
13 Correct 1 ms 332 KB Output is correct
14 Correct 1 ms 332 KB Output is correct
15 Correct 0 ms 332 KB Output is correct
16 Correct 2 ms 332 KB Output is correct
17 Correct 1 ms 332 KB Output is correct
18 Correct 1 ms 332 KB Output is correct
19 Correct 0 ms 332 KB Output is correct
20 Correct 1 ms 332 KB Output is correct
21 Correct 1 ms 332 KB Output is correct
22 Correct 1 ms 332 KB Output is correct
23 Correct 1 ms 332 KB Output is correct
24 Correct 1 ms 332 KB Output is correct
25 Correct 1 ms 332 KB Output is correct
26 Correct 2 ms 332 KB Output is correct
27 Correct 1 ms 332 KB Output is correct
28 Correct 1 ms 332 KB Output is correct
29 Correct 1 ms 332 KB Output is correct
30 Correct 1 ms 332 KB Output is correct
31 Correct 1 ms 332 KB Output is correct
32 Correct 1 ms 332 KB Output is correct
33 Correct 1 ms 332 KB Output is correct
34 Correct 1 ms 332 KB Output is correct
35 Correct 35 ms 2544 KB Output is correct
36 Correct 75 ms 2504 KB Output is correct
37 Correct 40 ms 3448 KB Output is correct
38 Correct 38 ms 3708 KB Output is correct
39 Correct 47 ms 4340 KB Output is correct
40 Correct 115 ms 4760 KB Output is correct
41 Correct 52 ms 4012 KB Output is correct
42 Correct 63 ms 3928 KB Output is correct
43 Correct 79 ms 4020 KB Output is correct
44 Correct 88 ms 3956 KB Output is correct
45 Correct 51 ms 4680 KB Output is correct
46 Correct 36 ms 4040 KB Output is correct
47 Correct 67 ms 4952 KB Output is correct
48 Correct 85 ms 4716 KB Output is correct
49 Correct 35 ms 4472 KB Output is correct
50 Correct 178 ms 4132 KB Output is correct