oj.uz

Submission #380675

# Submission time Handle Problem Language Result Execution time Memory
380675 2021-03-22T19:11:15 Z saarang123 Knapsack (NOI18_knapsack) C++14
100 / 100
 303 ms 248296 KB 
#include <bits/stdc++.h>
#define int long long
using namespace std;
const int inf = 1e15, N = 2002;
vector<array<int, 2>> a[N];
int ans = 0;
signed main() {
    std::ios::sync_with_stdio(0);
    std::cout.tie(0);
    std::cin.tie(0);
    int n, s;
    cin >> s >> n;
    for(int w, c, k, i = 0; i < n; i++) {
    	cin >> c >> w >> k;
    	k = min(k, s / w);
    	a[w].push_back({c, k});
    }
    vector<array<int, 2>> costs;
    for(int i = 1; i <= s; i++) sort(a[i].begin(), a[i].end(), greater<>());
    for(int i = 1; i <= s; i++) {
    	int left = s / i;
    	for(auto x : a[i]) {
    		int c = x[0], k = x[1];
    		for(int j = 0; j < k && left > 0; j++, left--) {
    			costs.push_back({i, c});
    		}
    	}
    }
    n = costs.size();
    vector<vector<int>> dp(n + 2, vector<int>(s + 2, -inf));
    dp[0][0] = 0;
    for(int i = 1; i <= n; i++) {
    	for(int j = 0; j <= s; j++) {
    		dp[i][j] = dp[i - 1][j];
    		if(j - costs[i - 1][0] >= 0)
    			dp[i][j] = max(dp[i][j], dp[i - 1][j - costs[i - 1][0]] + costs[i - 1][1]);
    		ans = max(ans, dp[i][j]);
    	}
    }
    cout << ans << '\n';
    return 0;
}

Subtask #1
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 492 KB Output is correct
2 Correct 1 ms 364 KB Output is correct
3 Correct 2 ms 1644 KB Output is correct
4 Correct 1 ms 364 KB Output is correct

Subtask #2
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 364 KB Output is correct
2 Correct 2 ms 2028 KB Output is correct
3 Correct 2 ms 1900 KB Output is correct
4 Correct 1 ms 492 KB Output is correct
5 Correct 1 ms 492 KB Output is correct
6 Correct 3 ms 1900 KB Output is correct
7 Correct 2 ms 2028 KB Output is correct
8 Correct 3 ms 1900 KB Output is correct
9 Correct 3 ms 1900 KB Output is correct
10 Correct 3 ms 1900 KB Output is correct

Subtask #3
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 364 KB Output is correct
2 Correct 2 ms 2028 KB Output is correct
3 Correct 2 ms 1900 KB Output is correct
4 Correct 1 ms 492 KB Output is correct
5 Correct 1 ms 492 KB Output is correct
6 Correct 3 ms 1900 KB Output is correct
7 Correct 2 ms 2028 KB Output is correct
8 Correct 3 ms 1900 KB Output is correct
9 Correct 3 ms 1900 KB Output is correct
10 Correct 3 ms 1900 KB Output is correct
11 Correct 1 ms 364 KB Output is correct
12 Correct 18 ms 15852 KB Output is correct
13 Correct 2 ms 1900 KB Output is correct
14 Correct 1 ms 492 KB Output is correct
15 Correct 1 ms 492 KB Output is correct
16 Correct 4 ms 3820 KB Output is correct
17 Correct 2 ms 1900 KB Output is correct
18 Correct 3 ms 2412 KB Output is correct
19 Correct 6 ms 3564 KB Output is correct
20 Correct 6 ms 3436 KB Output is correct

Subtask #4
24.0 / 24.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 492 KB Output is correct
2 Correct 1 ms 364 KB Output is correct
3 Correct 2 ms 1644 KB Output is correct
4 Correct 1 ms 364 KB Output is correct
5 Correct 1 ms 364 KB Output is correct
6 Correct 2 ms 2028 KB Output is correct
7 Correct 2 ms 1900 KB Output is correct
8 Correct 1 ms 492 KB Output is correct
9 Correct 1 ms 492 KB Output is correct
10 Correct 3 ms 1900 KB Output is correct
11 Correct 2 ms 2028 KB Output is correct
12 Correct 3 ms 1900 KB Output is correct
13 Correct 3 ms 1900 KB Output is correct
14 Correct 3 ms 1900 KB Output is correct
15 Correct 1 ms 364 KB Output is correct
16 Correct 18 ms 15852 KB Output is correct
17 Correct 2 ms 1900 KB Output is correct
18 Correct 1 ms 492 KB Output is correct
19 Correct 1 ms 492 KB Output is correct
20 Correct 4 ms 3820 KB Output is correct
21 Correct 2 ms 1900 KB Output is correct
22 Correct 3 ms 2412 KB Output is correct
23 Correct 6 ms 3564 KB Output is correct
24 Correct 6 ms 3436 KB Output is correct
25 Correct 1 ms 364 KB Output is correct
26 Correct 34 ms 31852 KB Output is correct
27 Correct 2 ms 1900 KB Output is correct
28 Correct 1 ms 492 KB Output is correct
29 Correct 1 ms 492 KB Output is correct
30 Correct 12 ms 10604 KB Output is correct
31 Correct 2 ms 2028 KB Output is correct
32 Correct 4 ms 2284 KB Output is correct
33 Correct 4 ms 3308 KB Output is correct
34 Correct 7 ms 4492 KB Output is correct

Subtask #5
27.0 / 27.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 492 KB Output is correct
2 Correct 1 ms 364 KB Output is correct
3 Correct 2 ms 1644 KB Output is correct
4 Correct 1 ms 364 KB Output is correct
5 Correct 1 ms 364 KB Output is correct
6 Correct 2 ms 2028 KB Output is correct
7 Correct 2 ms 1900 KB Output is correct
8 Correct 1 ms 492 KB Output is correct
9 Correct 1 ms 492 KB Output is correct
10 Correct 3 ms 1900 KB Output is correct
11 Correct 2 ms 2028 KB Output is correct
12 Correct 3 ms 1900 KB Output is correct
13 Correct 3 ms 1900 KB Output is correct
14 Correct 3 ms 1900 KB Output is correct
15 Correct 1 ms 364 KB Output is correct
16 Correct 18 ms 15852 KB Output is correct
17 Correct 2 ms 1900 KB Output is correct
18 Correct 1 ms 492 KB Output is correct
19 Correct 1 ms 492 KB Output is correct
20 Correct 4 ms 3820 KB Output is correct
21 Correct 2 ms 1900 KB Output is correct
22 Correct 3 ms 2412 KB Output is correct
23 Correct 6 ms 3564 KB Output is correct
24 Correct 6 ms 3436 KB Output is correct
25 Correct 1 ms 364 KB Output is correct
26 Correct 34 ms 31852 KB Output is correct
27 Correct 2 ms 1900 KB Output is correct
28 Correct 1 ms 492 KB Output is correct
29 Correct 1 ms 492 KB Output is correct
30 Correct 12 ms 10604 KB Output is correct
31 Correct 2 ms 2028 KB Output is correct
32 Correct 4 ms 2284 KB Output is correct
33 Correct 4 ms 3308 KB Output is correct
34 Correct 7 ms 4492 KB Output is correct
35 Correct 34 ms 3432 KB Output is correct
36 Correct 75 ms 34860 KB Output is correct
37 Correct 69 ms 34532 KB Output is correct
38 Correct 37 ms 3788 KB Output is correct
39 Correct 46 ms 4380 KB Output is correct
40 Correct 303 ms 248296 KB Output is correct
41 Correct 187 ms 145896 KB Output is correct
42 Correct 197 ms 156648 KB Output is correct
43 Correct 301 ms 248296 KB Output is correct
44 Correct 297 ms 247016 KB Output is correct
45 Correct 61 ms 22260 KB Output is correct
46 Correct 37 ms 4072 KB Output is correct
47 Correct 84 ms 44012 KB Output is correct
48 Correct 162 ms 116076 KB Output is correct
49 Correct 37 ms 5996 KB Output is correct
50 Correct 188 ms 145256 KB Output is correct