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#include<bits/stdc++.h>
using namespace std;
#define fast ios_base::sync_with_stdio(false);cin.tie(0);
#define int long long
#define pii pair<int,int>
#define ff first
#define ss second
const int inf=1e9+7;
const int S=2007;
const int F=2;
//dp[i][j] represents the maximum value which can be obtained after choosing i objects with a total weight of j.
void solve()
{
int N,W;
cin>>W>>N;
map<int,vector<pii>> mp;
vector <vector <int>> dp(N+1,vector <int> (W+1,-inf));
for(int i=0;i<N;i++)
{
int curw,curv,curk;
cin>>curv>>curw>>curk;
if(curw<=W && curk>0)
mp[curw].push_back({curv,curk});
}
dp[0][0]=0; //base case
int it=1; //the number of items being traversed.
for(auto i:mp)
{
int w=i.first;
vector <pii> arr=i.second;
sort(arr.begin(),arr.end(),greater <pii> ());
for(int j=0;j<=W;j++)
{
dp[it][j]=dp[it-1][j];
int val=0,k1=0,cur=0,used=0;
while((k1+1)*w<=j && cur<arr.size())
{
k1++;
val+=arr[cur].first;
if(dp[it-1][j-(k1*w)]!=-inf)
{
dp[it][j]=max(dp[it][j],(dp[it-1][j-(k1*w)]+val));
//cout << dp[it][j] << " ";
}
used++;
if(used==arr[cur].second)
{
used=0;
cur++;
}
}
}
it++;
}
int ans=*max_element(dp.back().begin(),dp.back().end());
cout << ans << '\n';
}
signed main()
{
fast
clock_t start, end;
start = clock();
solve();
end = clock();
double time_taken=double(end-start)/double(CLOCKS_PER_SEC);
//cout << "time taken" << " " << time_taken << "\n";
}
컴파일 시 표준 에러 (stderr) 메시지
knapsack.cpp: In function 'void solve()':
knapsack.cpp:36:37: warning: comparison of integer expressions of different signedness: 'long long int' and 'std::vector<std::pair<long long int, long long int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
36 | while((k1+1)*w<=j && cur<arr.size())
| ~~~^~~~~~~~~~~
knapsack.cpp: In function 'int main()':
knapsack.cpp:65:12: warning: unused variable 'time_taken' [-Wunused-variable]
65 | double time_taken=double(end-start)/double(CLOCKS_PER_SEC);
| ^~~~~~~~~~
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