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48 changes: 48 additions & 0 deletions Dynamic Programming/target sum
Original file line number Diff line number Diff line change
@@ -0,0 +1,48 @@
int subsetsum(vector<int>&a,int target,int n)
{
int dp[n+1][target+1];
for(int i=0;i<n+1;i++)
{
for(int j=0;j<target+1;j++)
{
if(i==0)
{
dp[i][j]=0;
}
if(j==0)
{
dp[i][j]=1;
}
}
}
for(int i=1;i<n+1;i++)
{
for(int j=0;j<target+1;j++)
{
if(a[i-1]>j)
{
dp[i][j]=dp[i-1][j];
}
else
{
dp[i][j]=dp[i-1][j-a[i-1]]+dp[i-1][j];
}
}
}
return dp[n][target];
}
int findTargetSumWays(vector<int>&a ,int target)
{
int sum=0;
int n=a.size();
for(int i=0;i<n;i++)
{
sum=sum+a[i];
}
int sem=(target+sum)/2;
if((sum+target)%2!=0)
{
return 0;
}
return subsetsum(a,sem,n);
}