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lec10_71.cpp
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//{ Driver Code Starts
// Initial Template for C++
#include <bits/stdc++.h>
using namespace std;
// } Driver Code Ends
// User function Template for C++
class Solution {
public:
int knapSack(vector<int>& val, vector<int>& wt, int w) {
// code here
int n = val.size();
vector<vector<int>> dp( n , vector<int>(w+1 , 0));
vector<int> prev(w+1 ,0) , cur(w+1,0);
for(int W = 0 ; W<=w ; W++){
prev[W] = ((int )(W / wt[0]))* val[0];
}
for(int ind = 1 ; ind <n; ind++){
for(int W = 0 ; W <=w;W++){
int notTake = 0 + prev[ W ];
int take = 0 ;
if(wt[ind]<= W){
take = val[ind] + cur[ W - wt[ind] ];
}
cur[W] = max(take , notTake);
}
prev = cur;
}
return prev[ w ];
}
};
//{ Driver Code Starts.
int main() {
int t;
cin >> t;
while (t--) {
int W;
cin >> W;
cin.ignore();
string str;
getline(cin, str);
stringstream ss(str);
vector<int> val;
int num;
while (ss >> num) {
val.push_back(num);
}
string str2;
getline(cin, str2);
stringstream ss2(str2);
vector<int> wt;
int num2;
while (ss2 >> num2) {
wt.push_back(num2);
}
Solution ob;
cout << ob.knapSack(val, wt, W) << endl;
cout << "~" << endl;
}
return 0;
}
// } Driver Code Ends
// single array optimized space
//{ Driver Code Starts
// Initial Template for C++
#include <bits/stdc++.h>
using namespace std;
// } Driver Code Ends
// User function Template for C++
class Solution {
public:
int knapSack(vector<int>& val, vector<int>& wt, int w) {
// code here
int n = val.size();
vector<vector<int>> dp( n , vector<int>(w+1 , 0));
vector<int> prev(w+1 ,0) ;
for(int W = 0 ; W<=w ; W++){
prev[W] = ((int )(W / wt[0]))* val[0];
}
for(int ind = 1 ; ind <n; ind++){
for(int W = 0 ; W <=w;W++){
int notTake = 0 + prev[ W ];
int take = 0 ;
if(wt[ind]<= W){
take = val[ind] + prev[ W - wt[ind] ];
}
prev[W] = max(take , notTake);
}
}
return prev[ w ];
}
};
//{ Driver Code Starts.
int main() {
int t;
cin >> t;
while (t--) {
int W;
cin >> W;
cin.ignore();
string str;
getline(cin, str);
stringstream ss(str);
vector<int> val;
int num;
while (ss >> num) {
val.push_back(num);
}
string str2;
getline(cin, str2);
stringstream ss2(str2);
vector<int> wt;
int num2;
while (ss2 >> num2) {
wt.push_back(num2);
}
Solution ob;
cout << ob.knapSack(val, wt, W) << endl;
cout << "~" << endl;
}
return 0;
}
// } Driver Code Ends