Minimum subsetsum difference (Dynamic Progrmming)

Programs/Minimum subsetsum difference (Dynamic Progrmming).cpp

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+//Minimum subsetsum difference -> DP (Dynamic Progrmming)
+
+#include<bits/stdc++.h>
+using namespace std;
+#define ll long long
+
+void minsub(vector<ll>a)
+{
+    ll n=a.size();
+    ll s=0;
+    for(ll i=0;i<n;++i)
+    {
+        s+=a[i];
+    }
+    ll k=(s)/2;
+    bool dp[n+1][k+1];
+    for(ll i=0;i<=n;++i) dp[i][0]=true;
+    for(ll i=1;i<=k;++i) dp[0][i]=false;
+
+    for(ll i=1;i<=n;++i)
+    {
+        for(ll j=1;j<=k;++j)
+        {
+            if(a[i-1]<=j)
+            {
+                dp[i][j]=dp[i-1][j-a[i-1]]|dp[i-1][j];
+            }
+            else
+                dp[i][j]=dp[i-1][j];
+        }
+    }
+    for(ll i=s/2;i>=0;--i)
+    {
+        if(dp[n][i]==true)
+        {
+            k=i;
+            break;
+        }
+    }
+    k=s-2*k;
+    cout<<"The Minimum Subset Difference of the given Array is : "<<k;
+    cout<<endl;
+}
+int main()
+{
+    ll n;
+    cout<<"Enter the size of the Array : "<<endl;
+    cin>>n;
+    vector<ll>v;
+    ll a;
+    for(ll i=0;i<n;++i)
+    {
+        cin>>a;
+        v.push_back(a);
+    }
+    minsub(v);
+    //happy coding 
+}

Programs/minimum-subset-sum-difference(DP).cpp

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+//Minimum subset sum difference -> DP (Dynamic Progrmming)
+
+#include<bits/stdc++.h>
+using namespace std;
+#define ll long long
+
+void minsub(vector<ll>a)
+{
+    ll n=a.size();
+    ll s=0;
+    for(ll i=0;i<n;++i)
+    {
+        s+=a[i];
+    }
+    ll k=(s)/2;
+    bool dp[n+1][k+1];
+    for(ll i=0;i<=n;++i) dp[i][0]=true;
+    for(ll i=1;i<=k;++i) dp[0][i]=false;
+
+    for(ll i=1;i<=n;++i)
+    {
+        for(ll j=1;j<=k;++j)
+        {
+            if(a[i-1]<=j)
+            {
+                dp[i][j]=dp[i-1][j-a[i-1]]|dp[i-1][j];
+            }
+            else
+                dp[i][j]=dp[i-1][j];
+        }
+    }
+    for(ll i=s/2;i>=0;--i)
+    {
+        if(dp[n][i]==true)
+        {
+            k=i;
+            break;
+        }
+    }
+    k=s-2*k;
+    cout<<"The Minimum Subset Difference of the given Array is : "<<k;
+    cout<<endl;
+}
+int main()
+{
+    ll n;
+    cout<<"Enter the size of the Array : "<<endl;
+    cin>>n;
+    vector<ll>v;
+    ll a;
+    for(ll i=0;i<n;++i)
+    {
+        cin>>a;
+        v.push_back(a);
+    }
+    minsub(v);
+    //happy coding 
+}