Submission #1163116

#TimeUsernameProblemLanguageResultExecution timeMemory
116311669godKnapsack (NOI18_knapsack)C++20
0 / 100
2 ms1864 KiB
#include<bits/stdc++.h>
#include<ext/pb_ds/assoc_container.hpp>
#include<ext/pb_ds/tree_policy.hpp>
#define int long long
#define float long double
#define ff first
#define ss second
#define endl "\n"
#define oyes cout<<"YES"<<endl;
#define ono cout<<"NO"<<endl;
#define vi vector <int>
#define all(a) a.begin(),a.end()
#define vin(v,n) int x;for(int i=0;i<n;i++){cin>>x;v.push_back(x);}
#define dis(s,n) for(int i=0;i<n;i++){cout<<s[i]<<" ";}cout<<"\n";
using namespace std;
using namespace __gnu_pbds;
vector<int> sexp(int n) {int*arr = new int[n + 1](); vector<int> vect; for (int i = 2; i <= n; i++)if (arr[i] == 0) {vect.push_back(i); for (int j = 2 * i; j <= n; j += i)arr[j] = 1;} return vect;}
typedef tree<int, null_type, less<int>, rb_tree_tag, tree_order_statistics_node_update> ordered_set;//if use greater not less get desc
 
void decToBinary(int n){
vi bin(32,0);
int i = 0;
while (n > 0) {
bin[i] = n % 2;
n = n / 2;
i++;}
for (int j = i - 1; j >= 0; j--)
cout << bin[j];}
 
long long exp(long long a, long long b) {
long long res = 1;
while (b > 0) {
if (b & 1)
{res = res * a;}
a = a * a;
b >>= 1;}
return res;}
 
long long exp1(long long a, long long b) {
long long mod=1e9+7;
a%=mod;
long long res = 1;
while (b > 0) {
if (b & 1)
{res = res * a%mod;}
a = a * a%mod;
b >>= 1;}
return res;}
 
signed main(){
ios::sync_with_stdio(false);
cin.tie(nullptr);

int s,n;
cin>>s>>n;

vector<pair<int,pair<int,int>>> vpp;

for(int i=0;i<n;i++){
    int x,y,z;
    cin>>x>>y>>z;

    vpp.push_back({x,{y,z}});
}

if(n==1){
     
    int d=s/vpp[0].first;

    cout<<min(vpp[0].second.second,d)*(vpp[0].second.first);

    return 0;
}

vector<pair<int,int>> vp;

for(auto it:vpp){
     
    int q=it.second.second;
    int cost=it.second.first;
    int reward=it.first;
    
    int cur=1;

    while(q>0){
       vp.push_back({cost*min(cur,q),reward*min(cur,q)});
       q=q-cur;
       cur=cur*2;
    }

}

sort(vp.begin(),vp.end());

// for(auto it:vp){
//     cout<<it.first<<" "<<it.second<<endl;
// }

//return 0;
//vector<int> dp(s+1,0);

int damn=vp.size();

vector<vector<int>> dp(s+1,vector<int>(damn+1,0));

for(int i=1;i<=damn;i++){
     
    for(int j=1;j<=s;j++){
           
        if(vp[i-1].first<=j){
            dp[j][i]=max(dp[j][i],vp[i-1].second+dp[j-vp[i-1].first][i-1]);
        }

    }
}

int maxi=0;

for(int j=0;j<=s;j++){

for(int i=0;i<=damn;i++){
           
     maxi=max(maxi,dp[j][i]);

    }

}

cout<<maxi;

return 0;
}
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