oj.uz

Submission #921057

# Submission time Handle Problem Language Result Execution time Memory
921057 2024-02-03T09:20:57 Z josiftepe Knapsack (NOI18_knapsack) C++14
100 / 100
 120 ms 36688 KB 
#include <iostream>
#include <map>
#include <vector>
#include <cstring>
#include <set>
#include<bits/stdc++.h>
using namespace std;
typedef long long ll;

const ll INF = 1e10;
const int maxn = 2005;
int s, n;
int v[100005], w[100005], k[100005];
vector<pair<int, int> > items[maxn];
ll dp[maxn][maxn];
ll rec(int at, int left) {
    if(left < 0) {
        return -INF;
    }
    if(at < 0) {
        return 0;
    }
    if(dp[at][left] != -1) {
        return dp[at][left];
    }
    ll res = rec(at - 1, left);
    int current_weight = 0;
    int sum_value = 0;
    for(pair<int, int> p : items[at]) {
        for(int i = 1; i <= p.second; i++) {
            current_weight += at;
            sum_value += p.first;
            if(current_weight > left) {
                break;
            }
            res = max(res, rec(at - 1, left - current_weight) + sum_value);
        }
        if(current_weight > left) {
            break;
        }
    }
    
    return dp[at][left] = res;
}

int main() {
    ios_base::sync_with_stdio(false);
    cin >> s >> n;
    for(int i = 0; i < maxn; i++) {
        for(int j = 0; j < maxn; j++) {
            dp[i][j] = -1;
        }
    }
    int max_weight = 0;
    for(int i = 0; i < n; i++) {
        cin >> v[i] >> w[i] >> k[i];
        items[w[i]].push_back(make_pair(v[i], k[i]));
        max_weight = max(max_weight, w[i]);
    }
    for(int i = 0; i <= s; i++) {
        sort(items[i].rbegin(), items[i].rend());
    }
    cout << rec(max_weight, s) << endl;
    return 0;
}

Subtask #1
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 6 ms 31836 KB Output is correct
2 Correct 6 ms 32092 KB Output is correct
3 Correct 5 ms 31832 KB Output is correct
4 Correct 5 ms 32092 KB Output is correct

Subtask #2
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 31836 KB Output is correct
2 Correct 5 ms 31836 KB Output is correct
3 Correct 5 ms 31988 KB Output is correct
4 Correct 6 ms 32088 KB Output is correct
5 Correct 6 ms 32200 KB Output is correct
6 Correct 17 ms 32164 KB Output is correct
7 Correct 17 ms 32092 KB Output is correct
8 Correct 18 ms 32092 KB Output is correct
9 Correct 17 ms 32092 KB Output is correct
10 Correct 16 ms 32088 KB Output is correct

Subtask #3
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 31836 KB Output is correct
2 Correct 5 ms 31836 KB Output is correct
3 Correct 5 ms 31988 KB Output is correct
4 Correct 6 ms 32088 KB Output is correct
5 Correct 6 ms 32200 KB Output is correct
6 Correct 17 ms 32164 KB Output is correct
7 Correct 17 ms 32092 KB Output is correct
8 Correct 18 ms 32092 KB Output is correct
9 Correct 17 ms 32092 KB Output is correct
10 Correct 16 ms 32088 KB Output is correct
11 Correct 5 ms 31836 KB Output is correct
12 Correct 6 ms 31832 KB Output is correct
13 Correct 5 ms 31836 KB Output is correct
14 Correct 7 ms 32004 KB Output is correct
15 Correct 5 ms 32092 KB Output is correct
16 Correct 21 ms 32332 KB Output is correct
17 Correct 17 ms 32092 KB Output is correct
18 Correct 19 ms 32088 KB Output is correct
19 Correct 19 ms 32248 KB Output is correct
20 Correct 17 ms 32092 KB Output is correct

Subtask #4
24.0 / 24.0

# Verdict Execution time Memory Grader output
1 Correct 6 ms 31836 KB Output is correct
2 Correct 6 ms 32092 KB Output is correct
3 Correct 5 ms 31832 KB Output is correct
4 Correct 5 ms 32092 KB Output is correct
5 Correct 5 ms 31836 KB Output is correct
6 Correct 5 ms 31836 KB Output is correct
7 Correct 5 ms 31988 KB Output is correct
8 Correct 6 ms 32088 KB Output is correct
9 Correct 6 ms 32200 KB Output is correct
10 Correct 17 ms 32164 KB Output is correct
11 Correct 17 ms 32092 KB Output is correct
12 Correct 18 ms 32092 KB Output is correct
13 Correct 17 ms 32092 KB Output is correct
14 Correct 16 ms 32088 KB Output is correct
15 Correct 5 ms 31836 KB Output is correct
16 Correct 6 ms 31832 KB Output is correct
17 Correct 5 ms 31836 KB Output is correct
18 Correct 7 ms 32004 KB Output is correct
19 Correct 5 ms 32092 KB Output is correct
20 Correct 21 ms 32332 KB Output is correct
21 Correct 17 ms 32092 KB Output is correct
22 Correct 19 ms 32088 KB Output is correct
23 Correct 19 ms 32248 KB Output is correct
24 Correct 17 ms 32092 KB Output is correct
25 Correct 5 ms 31832 KB Output is correct
26 Correct 5 ms 31832 KB Output is correct
27 Correct 5 ms 31836 KB Output is correct
28 Correct 6 ms 32092 KB Output is correct
29 Correct 6 ms 32092 KB Output is correct
30 Correct 19 ms 32092 KB Output is correct
31 Correct 16 ms 32088 KB Output is correct
32 Correct 19 ms 32092 KB Output is correct
33 Correct 17 ms 32092 KB Output is correct
34 Correct 17 ms 32092 KB Output is correct

Subtask #5
27.0 / 27.0

# Verdict Execution time Memory Grader output
1 Correct 6 ms 31836 KB Output is correct
2 Correct 6 ms 32092 KB Output is correct
3 Correct 5 ms 31832 KB Output is correct
4 Correct 5 ms 32092 KB Output is correct
5 Correct 5 ms 31836 KB Output is correct
6 Correct 5 ms 31836 KB Output is correct
7 Correct 5 ms 31988 KB Output is correct
8 Correct 6 ms 32088 KB Output is correct
9 Correct 6 ms 32200 KB Output is correct
10 Correct 17 ms 32164 KB Output is correct
11 Correct 17 ms 32092 KB Output is correct
12 Correct 18 ms 32092 KB Output is correct
13 Correct 17 ms 32092 KB Output is correct
14 Correct 16 ms 32088 KB Output is correct
15 Correct 5 ms 31836 KB Output is correct
16 Correct 6 ms 31832 KB Output is correct
17 Correct 5 ms 31836 KB Output is correct
18 Correct 7 ms 32004 KB Output is correct
19 Correct 5 ms 32092 KB Output is correct
20 Correct 21 ms 32332 KB Output is correct
21 Correct 17 ms 32092 KB Output is correct
22 Correct 19 ms 32088 KB Output is correct
23 Correct 19 ms 32248 KB Output is correct
24 Correct 17 ms 32092 KB Output is correct
25 Correct 5 ms 31832 KB Output is correct
26 Correct 5 ms 31832 KB Output is correct
27 Correct 5 ms 31836 KB Output is correct
28 Correct 6 ms 32092 KB Output is correct
29 Correct 6 ms 32092 KB Output is correct
30 Correct 19 ms 32092 KB Output is correct
31 Correct 16 ms 32088 KB Output is correct
32 Correct 19 ms 32092 KB Output is correct
33 Correct 17 ms 32092 KB Output is correct
34 Correct 17 ms 32092 KB Output is correct
35 Correct 29 ms 35020 KB Output is correct
36 Correct 31 ms 35356 KB Output is correct
37 Correct 29 ms 35100 KB Output is correct
38 Correct 30 ms 35432 KB Output is correct
39 Correct 33 ms 36292 KB Output is correct
40 Correct 120 ms 36432 KB Output is correct
41 Correct 90 ms 35872 KB Output is correct
42 Correct 101 ms 35928 KB Output is correct
43 Correct 96 ms 35704 KB Output is correct
44 Correct 98 ms 35668 KB Output is correct
45 Correct 38 ms 36688 KB Output is correct
46 Correct 33 ms 36048 KB Output is correct
47 Correct 37 ms 36484 KB Output is correct
48 Correct 57 ms 36584 KB Output is correct
49 Correct 35 ms 36180 KB Output is correct
50 Correct 44 ms 35932 KB Output is correct