답안 #467693

#	제출 시각	아이디	문제	언어	결과	실행 시간	메모리
467693	2021-08-24T04:08:19 Z	xn_17	Knapsack (NOI18_knapsack)	C++14	73 / 100	1000 ms	1444 KB

knapsack

//oj.uz--NOI18_KNAPSACK
//USACO Knapsack DP

#include <bits/stdc++.h>
using namespace std;
#define ll long long
#define pb push_back
#define mp make_pair

int main()
{
    int s,n; cin >> s >> n;

    pair<int,pair<int,int>> items[n];

    for(int i = 0; i < n; i++)
    {
        int v, w, c; cin >> v >> w >> c;
        items[i] = mp(w, mp(v, c));
    }

    sort(items, items + n, greater<pair<int,pair<int,int>>>());

    ll dp[s+1];

    for(int i = 0; i <= s; i++)
    {
        dp[i] = -1e10;
    }

    dp[0] = 0;
    int prevwgh = 0;
    int num = 0;

    int val,wgh,copy,upto;

    for(int i = 0; i < n; i++)
    {
        val = items[i].second.first;
        wgh = items[i].first;
        copy = items[i].second.second;
        upto = min(copy, s/wgh);

        if(wgh == prevwgh && num >= s/wgh)
        {
            continue;
        }

        if(wgh == prevwgh)
        {
            num++;
        }
        else
        {
            num = 0; 
            prevwgh = wgh;
        }

        //cout << "VAL " << val << " WEIGHT " << wgh << " COPIES " << copy << " UPTO " << upto << endl; 

        for(int k = s; k >= wgh; k--)
        {
            for(int j = 1; j <= upto; j++)
            {
                if(k >= wgh*j && (dp[k] != -1e10 || dp[k-wgh*j] != -1e10))
                { 
                    dp[k] = max(dp[k], dp[k-wgh*j] + val*j);
                }
            }

            //cout << "K " << k << " " << dp[k] << endl;
        }
    }

    ll ans = 0;

    for(int i = 0; i <= s; i++)
    {
        ans = max(ans, dp[i]);
    }

    cout << ans;
}

Subtask #1

12.0 / 12.0

#	결과	실행 시간	메모리	Grader output
1	Correct	1 ms	204 KB	Output is correct
2	Correct	0 ms	204 KB	Output is correct
3	Correct	1 ms	204 KB	Output is correct
4	Correct	0 ms	204 KB	Output is correct

Subtask #2

17.0 / 17.0

#	결과	실행 시간	메모리	Grader output
1	Correct	1 ms	204 KB	Output is correct
2	Correct	1 ms	204 KB	Output is correct
3	Correct	2 ms	204 KB	Output is correct
4	Correct	1 ms	204 KB	Output is correct
5	Correct	0 ms	204 KB	Output is correct
6	Correct	1 ms	204 KB	Output is correct
7	Correct	1 ms	204 KB	Output is correct
8	Correct	1 ms	204 KB	Output is correct
9	Correct	1 ms	204 KB	Output is correct
10	Correct	1 ms	204 KB	Output is correct

Subtask #3

20.0 / 20.0

#	결과	실행 시간	메모리	Grader output
1	Correct	1 ms	204 KB	Output is correct
2	Correct	1 ms	204 KB	Output is correct
3	Correct	2 ms	204 KB	Output is correct
4	Correct	1 ms	204 KB	Output is correct
5	Correct	0 ms	204 KB	Output is correct
6	Correct	1 ms	204 KB	Output is correct
7	Correct	1 ms	204 KB	Output is correct
8	Correct	1 ms	204 KB	Output is correct
9	Correct	1 ms	204 KB	Output is correct
10	Correct	1 ms	204 KB	Output is correct
11	Correct	1 ms	204 KB	Output is correct
12	Correct	7 ms	204 KB	Output is correct
13	Correct	1 ms	204 KB	Output is correct
14	Correct	1 ms	204 KB	Output is correct
15	Correct	1 ms	204 KB	Output is correct
16	Correct	2 ms	204 KB	Output is correct
17	Correct	1 ms	204 KB	Output is correct
18	Correct	1 ms	204 KB	Output is correct
19	Correct	2 ms	204 KB	Output is correct
20	Correct	2 ms	204 KB	Output is correct

Subtask #4

24.0 / 24.0

#	결과	실행 시간	메모리	Grader output
1	Correct	1 ms	204 KB	Output is correct
2	Correct	0 ms	204 KB	Output is correct
3	Correct	1 ms	204 KB	Output is correct
4	Correct	0 ms	204 KB	Output is correct
5	Correct	1 ms	204 KB	Output is correct
6	Correct	1 ms	204 KB	Output is correct
7	Correct	2 ms	204 KB	Output is correct
8	Correct	1 ms	204 KB	Output is correct
9	Correct	0 ms	204 KB	Output is correct
10	Correct	1 ms	204 KB	Output is correct
11	Correct	1 ms	204 KB	Output is correct
12	Correct	1 ms	204 KB	Output is correct
13	Correct	1 ms	204 KB	Output is correct
14	Correct	1 ms	204 KB	Output is correct
15	Correct	1 ms	204 KB	Output is correct
16	Correct	7 ms	204 KB	Output is correct
17	Correct	1 ms	204 KB	Output is correct
18	Correct	1 ms	204 KB	Output is correct
19	Correct	1 ms	204 KB	Output is correct
20	Correct	2 ms	204 KB	Output is correct
21	Correct	1 ms	204 KB	Output is correct
22	Correct	1 ms	204 KB	Output is correct
23	Correct	2 ms	204 KB	Output is correct
24	Correct	2 ms	204 KB	Output is correct
25	Correct	0 ms	204 KB	Output is correct
26	Correct	621 ms	284 KB	Output is correct
27	Correct	2 ms	204 KB	Output is correct
28	Correct	1 ms	204 KB	Output is correct
29	Correct	1 ms	204 KB	Output is correct
30	Correct	5 ms	300 KB	Output is correct
31	Correct	1 ms	204 KB	Output is correct
32	Correct	2 ms	204 KB	Output is correct
33	Correct	2 ms	204 KB	Output is correct
34	Correct	2 ms	204 KB	Output is correct

Subtask #5

0 / 27.0

#	결과	실행 시간	메모리	Grader output
1	Correct	1 ms	204 KB	Output is correct
2	Correct	0 ms	204 KB	Output is correct
3	Correct	1 ms	204 KB	Output is correct
4	Correct	0 ms	204 KB	Output is correct
5	Correct	1 ms	204 KB	Output is correct
6	Correct	1 ms	204 KB	Output is correct
7	Correct	2 ms	204 KB	Output is correct
8	Correct	1 ms	204 KB	Output is correct
9	Correct	0 ms	204 KB	Output is correct
10	Correct	1 ms	204 KB	Output is correct
11	Correct	1 ms	204 KB	Output is correct
12	Correct	1 ms	204 KB	Output is correct
13	Correct	1 ms	204 KB	Output is correct
14	Correct	1 ms	204 KB	Output is correct
15	Correct	1 ms	204 KB	Output is correct
16	Correct	7 ms	204 KB	Output is correct
17	Correct	1 ms	204 KB	Output is correct
18	Correct	1 ms	204 KB	Output is correct
19	Correct	1 ms	204 KB	Output is correct
20	Correct	2 ms	204 KB	Output is correct
21	Correct	1 ms	204 KB	Output is correct
22	Correct	1 ms	204 KB	Output is correct
23	Correct	2 ms	204 KB	Output is correct
24	Correct	2 ms	204 KB	Output is correct
25	Correct	0 ms	204 KB	Output is correct
26	Correct	621 ms	284 KB	Output is correct
27	Correct	2 ms	204 KB	Output is correct
28	Correct	1 ms	204 KB	Output is correct
29	Correct	1 ms	204 KB	Output is correct
30	Correct	5 ms	300 KB	Output is correct
31	Correct	1 ms	204 KB	Output is correct
32	Correct	2 ms	204 KB	Output is correct
33	Correct	2 ms	204 KB	Output is correct
34	Correct	2 ms	204 KB	Output is correct
35	Correct	81 ms	1444 KB	Output is correct
36	Execution timed out	1086 ms	1432 KB	Time limit exceeded
37	Halted	0 ms	0 KB	-