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Create Knapsack.cpp #48

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25 changes: 25 additions & 0 deletions Knapsack.cpp
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Original file line number Diff line number Diff line change
@@ -0,0 +1,25 @@
int rec(int ind , int W , vector<int> &wt , vector<int> &val,vector<vector<int>> &dp)
{
if(ind == 0)
{
if(wt[0] <= W) return val[0];
return 0;
}

if(dp[ind][W] != - 1)
return dp[ind][W];

int pick = INT_MIN ;
int notpick = rec(ind-1,W,wt,val,dp);

if(wt[ind] <= W)
{
pick = val[ind] + rec(ind-1,W - wt[ind],wt,val,dp);
}
return dp[ind][W] = max(pick,notpick);
}
int knapsack(vector<int> weight, vector<int> value, int n, int maxWeight)
{
vector<vector<int>> dp(n , vector<int> (maxWeight + 1 , -1));
return rec(n-1,maxWeight,weight,value,dp);
}