Submission #522844

# Submission time Handle Problem Language Result Execution time Memory
522844 2022-02-06T03:20:53 Z exopeng Knapsack (NOI18_knapsack) C++14
100 / 100
509 ms 258880 KB
#include <bits/stdc++.h>
using namespace std;

#include <ext/pb_ds/tree_policy.hpp>
#include <ext/pb_ds/assoc_container.hpp>
using namespace __gnu_pbds;
template <class T> using Tree = tree<T, null_type, less<T>,
rb_tree_tag, tree_order_statistics_node_update>;

#define mp make_pair
#define pb push_back
#define lb lower_bound
#define ub upper_bound
#define f first
#define ll long long
#define s second
#define pii pair<int,int>
#define pdd pair<double,double>
#define pll pair<ll,ll>
#define is insert
const long long INF = 1e9;
const long long MOD = 1e9+7;
const int MAXN = 2e5;
//store test cases here
/*
15 5
4 12 1
2 1 1
10 4 1
1 1 1
2 2 1

20 3
5000 15 1
100 1 3
50 1 4
*/
int s,n;
//weight, value
vector<pii> ar;
//vallue, occurences
vector<pii> wg[MAXN];
//max value after considering first j items with total weight i
ll dp[2002][16000];

int main() {
    ios::sync_with_stdio(false);
    cin.tie(0);
    cin>>s>>n;
    for(int i=0;i<n;i++){
        int v,w,k;cin>>v>>w>>k;
        wg[w].pb(mp(v,k));
    }
    for(int i=1;i<=s;i++){
        sort(wg[i].begin(),wg[i].end());
        reverse(wg[i].begin(),wg[i].end());
        int ct=0;
        int ix=0;
        while(ct<s/i){
            while(ix<wg[i].size()&&wg[i][ix].s==0){
                ix++;
            }
            if(ix==wg[i].size()){
                break;
            }
            ct++;
            ar.pb(mp(i,wg[i][ix].f));
            wg[i][ix].s--;
        }
    }
    ll as=0;
    for(int i=0;i<=ar.size();i++){
        for(int j=0;j<=s;j++){
            if(i){
                dp[j][i]=max(dp[j][i],dp[j][i-1]);
            }
            if(i<ar.size()&&ar[i].f+j<=s){
                dp[ar[i].f+j][i+1]=max(dp[ar[i].f+j][i+1],dp[j][i]+ar[i].s);
            }
        }
    }
    cout<<dp[s][ar.size()]<<'\n';

    return 0;
}

Compilation message

knapsack.cpp: In function 'int main()':
knapsack.cpp:60:21: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::pair<int, int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   60 |             while(ix<wg[i].size()&&wg[i][ix].s==0){
      |                   ~~^~~~~~~~~~~~~
knapsack.cpp:63:18: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::pair<int, int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   63 |             if(ix==wg[i].size()){
      |                ~~^~~~~~~~~~~~~~
knapsack.cpp:72:18: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::pair<int, int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   72 |     for(int i=0;i<=ar.size();i++){
      |                 ~^~~~~~~~~~~
knapsack.cpp:77:17: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::pair<int, int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   77 |             if(i<ar.size()&&ar[i].f+j<=s){
      |                ~^~~~~~~~~~
knapsack.cpp:71:8: warning: unused variable 'as' [-Wunused-variable]
   71 |     ll as=0;
      |        ^~
# Verdict Execution time Memory Grader output
1 Correct 7 ms 10188 KB Output is correct
2 Correct 6 ms 10180 KB Output is correct
3 Correct 7 ms 11468 KB Output is correct
4 Correct 6 ms 10136 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 3 ms 4940 KB Output is correct
2 Correct 10 ms 15512 KB Output is correct
3 Correct 13 ms 15436 KB Output is correct
4 Correct 8 ms 13468 KB Output is correct
5 Correct 7 ms 13388 KB Output is correct
6 Correct 10 ms 15436 KB Output is correct
7 Correct 10 ms 15488 KB Output is correct
8 Correct 10 ms 15388 KB Output is correct
9 Correct 11 ms 15436 KB Output is correct
10 Correct 11 ms 15436 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 3 ms 4940 KB Output is correct
2 Correct 10 ms 15512 KB Output is correct
3 Correct 13 ms 15436 KB Output is correct
4 Correct 8 ms 13468 KB Output is correct
5 Correct 7 ms 13388 KB Output is correct
6 Correct 10 ms 15436 KB Output is correct
7 Correct 10 ms 15488 KB Output is correct
8 Correct 10 ms 15388 KB Output is correct
9 Correct 11 ms 15436 KB Output is correct
10 Correct 11 ms 15436 KB Output is correct
11 Correct 3 ms 4940 KB Output is correct
12 Correct 40 ms 29508 KB Output is correct
13 Correct 12 ms 15384 KB Output is correct
14 Correct 8 ms 13388 KB Output is correct
15 Correct 8 ms 13388 KB Output is correct
16 Correct 19 ms 17484 KB Output is correct
17 Correct 11 ms 15492 KB Output is correct
18 Correct 14 ms 15436 KB Output is correct
19 Correct 13 ms 17484 KB Output is correct
20 Correct 15 ms 15384 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 7 ms 10188 KB Output is correct
2 Correct 6 ms 10180 KB Output is correct
3 Correct 7 ms 11468 KB Output is correct
4 Correct 6 ms 10136 KB Output is correct
5 Correct 3 ms 4940 KB Output is correct
6 Correct 10 ms 15512 KB Output is correct
7 Correct 13 ms 15436 KB Output is correct
8 Correct 8 ms 13468 KB Output is correct
9 Correct 7 ms 13388 KB Output is correct
10 Correct 10 ms 15436 KB Output is correct
11 Correct 10 ms 15488 KB Output is correct
12 Correct 10 ms 15388 KB Output is correct
13 Correct 11 ms 15436 KB Output is correct
14 Correct 11 ms 15436 KB Output is correct
15 Correct 3 ms 4940 KB Output is correct
16 Correct 40 ms 29508 KB Output is correct
17 Correct 12 ms 15384 KB Output is correct
18 Correct 8 ms 13388 KB Output is correct
19 Correct 8 ms 13388 KB Output is correct
20 Correct 19 ms 17484 KB Output is correct
21 Correct 11 ms 15492 KB Output is correct
22 Correct 14 ms 15436 KB Output is correct
23 Correct 13 ms 17484 KB Output is correct
24 Correct 15 ms 15384 KB Output is correct
25 Correct 3 ms 4940 KB Output is correct
26 Correct 71 ms 45468 KB Output is correct
27 Correct 11 ms 15436 KB Output is correct
28 Correct 10 ms 13388 KB Output is correct
29 Correct 8 ms 13388 KB Output is correct
30 Correct 26 ms 23500 KB Output is correct
31 Correct 11 ms 15560 KB Output is correct
32 Correct 11 ms 15392 KB Output is correct
33 Correct 12 ms 15436 KB Output is correct
34 Correct 16 ms 17480 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 7 ms 10188 KB Output is correct
2 Correct 6 ms 10180 KB Output is correct
3 Correct 7 ms 11468 KB Output is correct
4 Correct 6 ms 10136 KB Output is correct
5 Correct 3 ms 4940 KB Output is correct
6 Correct 10 ms 15512 KB Output is correct
7 Correct 13 ms 15436 KB Output is correct
8 Correct 8 ms 13468 KB Output is correct
9 Correct 7 ms 13388 KB Output is correct
10 Correct 10 ms 15436 KB Output is correct
11 Correct 10 ms 15488 KB Output is correct
12 Correct 10 ms 15388 KB Output is correct
13 Correct 11 ms 15436 KB Output is correct
14 Correct 11 ms 15436 KB Output is correct
15 Correct 3 ms 4940 KB Output is correct
16 Correct 40 ms 29508 KB Output is correct
17 Correct 12 ms 15384 KB Output is correct
18 Correct 8 ms 13388 KB Output is correct
19 Correct 8 ms 13388 KB Output is correct
20 Correct 19 ms 17484 KB Output is correct
21 Correct 11 ms 15492 KB Output is correct
22 Correct 14 ms 15436 KB Output is correct
23 Correct 13 ms 17484 KB Output is correct
24 Correct 15 ms 15384 KB Output is correct
25 Correct 3 ms 4940 KB Output is correct
26 Correct 71 ms 45468 KB Output is correct
27 Correct 11 ms 15436 KB Output is correct
28 Correct 10 ms 13388 KB Output is correct
29 Correct 8 ms 13388 KB Output is correct
30 Correct 26 ms 23500 KB Output is correct
31 Correct 11 ms 15560 KB Output is correct
32 Correct 11 ms 15392 KB Output is correct
33 Correct 12 ms 15436 KB Output is correct
34 Correct 16 ms 17480 KB Output is correct
35 Correct 29 ms 6944 KB Output is correct
36 Correct 89 ms 47688 KB Output is correct
37 Correct 85 ms 47408 KB Output is correct
38 Correct 37 ms 15796 KB Output is correct
39 Correct 44 ms 16436 KB Output is correct
40 Correct 509 ms 258880 KB Output is correct
41 Correct 293 ms 156112 KB Output is correct
42 Correct 334 ms 168340 KB Output is correct
43 Correct 472 ms 258324 KB Output is correct
44 Correct 482 ms 257808 KB Output is correct
45 Correct 79 ms 34756 KB Output is correct
46 Correct 46 ms 16324 KB Output is correct
47 Correct 144 ms 54980 KB Output is correct
48 Correct 265 ms 126772 KB Output is correct
49 Correct 44 ms 18548 KB Output is correct
50 Correct 334 ms 156608 KB Output is correct