description: <image>
  
  William has an array of n integers a_1, a_2, ..., a_n. In one move he can swap two neighboring items. Two items a_i and a_j are considered neighboring if the condition |i - j| = 1 is satisfied.
  
  William wants you to calculate the minimal number of swaps he would need to perform to make it so that the array does not contain two neighboring items with the same parity.
  
  Input
  
  Each test contains multiple test cases. The first line contains the number of test cases t (1 ≤ t ≤ 10^4). Description of the test cases follows.
  
  The first line of each test case contains an integer n (1 ≤ n ≤ 10^5) which is the total number of items in William's array.
  
  The second line contains n integers a_1, a_2, ..., a_n (1 ≤ a_i ≤ 10^9) which are William's array.
  
  It is guaranteed that the sum of n over all test cases does not exceed 10^5.
  
  Output
  
  For each test case output the minimal number of operations needed or -1 if it is impossible to get the array to a state when no neighboring numbers have the same parity.
  
  Example
  
  Input
  
  
  5
  3
  6 6 1
  1
  9
  6
  1 1 1 2 2 2
  2
  8 6
  6
  6 2 3 4 5 1
  
  
  Output
  
  
  1
  0
  3
  -1
  2
  
  Note
  
  In the first test case the following sequence of operations would satisfy the requirements: 
  
    1. swap(2, 3). Array after performing the operation: [6, 1, 6] 
  
  
  
  In the second test case the array initially does not contain two neighboring items of the same parity.
  
  In the third test case the following sequence of operations would satisfy the requirements: 
  
    1. swap(3, 4). Array after performing the operation: [1, 1, 2, 1, 2, 2] 
    2. swap(2, 3). Array after performing the operation: [1, 2, 1, 1, 2, 2] 
    3. swap(4, 5). Array after performing the operation: [1, 2, 1, 2, 1, 2] 
  
  
  
  In the fourth test case it is impossible to satisfy the requirements.
  
  In the fifth test case the following sequence of operations would satisfy the requirements: 
  
    1. swap(2, 3). Array after performing the operation: [6, 3, 2, 4, 5, 1] 
    2. swap(4, 5). Array after performing the operation: [6, 3, 2, 5, 4, 1] 
solution: //package codechef;
  
  import java.io.DataInputStream;
  import java.io.FileInputStream;
  import java.io.IOException;
  import java.io.InputStream;
  import java.io.PrintWriter;
  import java.util.ArrayList;
  import java.util.Collections;
  import java.util.Comparator;
  import java.util.HashSet;
  import java.util.Set;
  
  
  public class cp_2 {
  	static int mod=(int)1e9+7;
  	
  //	static  Reader sc=new Reader();
  	   static FastReader sc=new FastReader(System.in);
  	   
  
  	
  	public static void main(String[] args) throws IOException {
  		// TODO Auto-generated method stub
  		//FastReader sc=new FastReader();
  			
  			int t=sc.nextInt();
  			while(t-->0)
  			{
  				
  				int n=sc.nextInt();
  				ArrayList<Integer> even=new ArrayList<Integer>();
  				ArrayList<Integer> odd=new ArrayList<Integer>();
  				int arr[]=new int[n];
  				for(int i=0;i<n;i++)
  				{
  					arr[i]=sc.nextInt();
  					if((arr[i]&1)==0)
  					even.add(i);
  					else
  					odd.add(i);
  				}
  				if((n&1)==0 && odd.size()!=even.size())
  				{
  					out.println(-1);
  					continue;
  				}
  				if((n&1)!=0 && Math.abs(odd.size()-even.size())!=1)
  				{
  					out.println(-1);
  					continue;
  				}
  				if((n&1)==0)
  				{
  					int ans=0,ev=0,od=0,max=0;
  					
  					for(int i=0;i<n;i++)
  					{
  						if((i&1)==0)
  						max+=Math.abs(even.get(ev++)-i);
  					}
  					ans=max;
  					max=0;
  					for(int i=0;i<n;i++)
  					{
  						if(((i+1)&1)==1)
  						max+=Math.abs(odd.get(od++)-i);
  					}
  					ans=Math.min(ans, max);
  					out.println(ans);
  				}
  				else
  				{
  					int ans=0,ev=0,od=0;
  					boolean first=true;
  					if(even.size()<odd.size())
  					first=false;
  					if(first)
  					for(int i=0;i<n;i++)
  					{
  						if((i&1)==0)
  						ans+=Math.abs(even.get(ev++)-i);
  					}
  					else
  					for(int i=0;i<n;i++)
  					{
  						if((i&1)==0)
  						ans+=Math.abs(odd.get(od++)-i);
  					}
  					out.println(ans);
  				}
  				
  			
  			}
  				
  			out.flush();
  			out.close();
  			System.gc();
  	
  	}
  	
  	
  	
  
  
  	/*
  	   ...SOLUTION ENDS HERE...........SOLUTION ENDS HERE...
  	 */
  	static void swap(int arr[],int i,int j)
  	{
  		int temp=arr[i];
  		arr[i]=arr[j];
  		arr[j]=temp;
  	}
  
  	
  	static boolean check(String num,String x)
  	{
  		int i=0,pos=0;
  		while(i<num.length() && pos<x.length())
  		{
  			if(num.charAt(i)==x.charAt(pos))
  			pos++;
  			i++;
  		}
  		if(pos==x.length())
  		return true;
  		return false;
  	}
  	
  	
  	static boolean util(int a,int b,int c)
  	{
  		if(b>a)util(b, a, c);
  		
  		while(c>=a)
  		{
  			c-=a;
  			if(c%b==0)
  				return true;
  		}
  		
  		
  		return (c%b==0);
  	}
  	
  	static boolean check(int arr[])
  	{
  		for (int i = 1; i < arr.length; i++) {
  		if(arr[i-1]>arr[i])
  			return false;
  		}
  		return true;
  	}
  	
  	static void flag(boolean flag)
  	   {
  	       out.println(flag ? "YES" : "NO");
  	       out.flush();
  	   }
  	   
  	static ArrayList<Long> luckNums;
  	static void luckyNum(long x,long p10)
  	{
  		luckNums.add(x);
  		if(x>(long)1e10)
  			return;
  		luckyNum(x+4*p10, p10*10);
  		luckyNum(x+7*p10, p10*10);
  		
  	}
  	
  	 /*                     
  	    Map<Long,Long> map=new HashMap<>();
  	             for(int i=0;i<n;i++)
  	               {
  	                  if(!map.containsKey(a[i]))
  	                   map.put(a[i],1);
  	                 else
  	                   map.replace(a[i],map.get(a[i])+1);
  	               }
  	     
  	    Set<Map.Entry<Long,Long>> hmap=map.entrySet();
  	             for(Map.Entry<Long,Long> data : hmap)
  	               {
  	          
  	               }
  	       
  	   Iterator<Integer> it = set.iterator();
  	          while(it.hasNext()) 
  	           { 
  	            int x=it.next();
  	           }
  	   */
  
  	
  	
  	static void print(int a[])
  	  {
  	     int n=a.length;
  	     for(int i=0;i<n;i++)
  	       {
  	          out.print(a[i]+" ");
  	       }
  	     out.println();
  	     out.flush();
  	  }
  	static void print(long a[])
  	  {
  	     int n=a.length;
  	     for(int i=0;i<n;i++)
  	       {
  	          out.print(a[i]+" ");
  	       }
  	     out.println();
  	     out.flush();
  	  } 
  	static void print_int(ArrayList<Integer> al)
  	  {
  	     int si=al.size();
  	     for(int i=0;i<si;i++)
  	       {
  	          out.print(al.get(i)+" ");
  	       }
  	     out.println();
  	     out.flush();
  	  }
  	static void print_long(ArrayList<Long> al)
  	  {
  	     int si=al.size();
  	     for(int i=0;i<si;i++)
  	       {
  	          out.print(al.get(i)+" ");
  	       }
  	     out.println();
  	     out.flush();
  	  }
  	  
  	static int LowerBound(int a[], int x) 
  	 { // x is the target value or key
  	  int l=-1,r=a.length;
  	  while(l+1<r) {
  	    int m=(l+r)>>>1;
  	    if(a[m]>=x) r=m;
  	    else l=m;
  	  }
  	  return r;
  	}
  	
  	
  	static int lowerIndex(int arr[], int n, int x)
      {
          int l = 0, h = n - 1;
          while (l <= h)
          {
              int mid = (l + h) / 2;
              if (arr[mid] >= x)
                  h = mid - 1;
              else
                  l = mid + 1;
          }
          return l;
      }
       
  	
  	 static int UpperBound(int a[], int x)
  	  {// x is the key or target value
  	    int l=-1,r=a.length;
  	    while(l+1<r) {
  	       int m=(l+r)>>>1;
  	       if(a[m]<=x) l=m;
  	       else r=m;
  	    }
  	    return l+1;
  	 }
  	 static class DisjointUnionSets
  	 {
  	    int[] rank, parent;
  	    int n;
  	    // Constructor
  	    public DisjointUnionSets(int n)
  	    {
  	        rank = new int[n];
  	        parent = new int[n];
  	        this.n = n;
  	        makeSet();
  	    }
  	    // Creates n sets with single item in each
  	    void makeSet()
  	    {
  	        for (int i = 0; i < n; i++)
  	            parent[i] = i;
  	    }
  	    int find(int x)
  	    {
  	        if (parent[x] != x) {
  	            parent[x] = find(parent[x]);
  	        }
  	        return parent[x];
  	    }
  	    // Unites the set that includes x and the set
  	    // that includes x
  	    void union(int x, int y)
  	    {
  	        int xRoot = find(x), yRoot = find(y);
  	        if (xRoot == yRoot)
  	            return;
  	        if (rank[xRoot] < rank[yRoot])
  	            parent[xRoot] = yRoot;
  	        else if (rank[yRoot] < rank[xRoot])
  	         parent[yRoot] = xRoot;
  	        else // if ranks are the same
  	        {
  	         parent[yRoot] = xRoot;
  	            rank[xRoot] = rank[xRoot] + 1;
  	        }
  	    }
  	 }
  
  	 
  //	static class countClass{
  //		int cnt;
  //		public countClass() {
  //			this.cnt=0;
  //			// TODO Auto-generated constructor stub
  //		}
  //	}
  
  	 
  	 
  	static class Graph
  	  {
  	        int v;
  	        ArrayList<Integer> list[];
  	        Graph(int v)
  	        {
  	            this.v=v;
  	            list=new ArrayList[v+1];
  	            for(int i=1;i<=v;i++)
  	                list[i]=new ArrayList<Integer>();
  	        }
  	        void addEdge(int a, int b)
  	        {
  	            this.list[a].add(b);
  	        }
  	    }
  	
  //	static class GraphMap{
  //		Map<String,ArrayList<String>> graph;
  //		GraphMap() {
  //			// TODO Auto-generated constructor stub
  //			graph=new HashMap<String,ArrayList<String>>();
  //			
  //		}
  //		void addEdge(String a,String b)
  //		{
  //			if(graph.containsKey(a))
  //			this.graph.get(a).add(b);
  //			else {
  //				this.graph.put(a, new ArrayList<>());
  //				this.graph.get(a).add(b);
  //			}
  //		}
  //	}
  //	static void dfsMap(GraphMap g,HashSet<String> vis,String src,int ok)
  //	{
  //		vis.add(src);
  //		
  //		if(g.graph.get(src)!=null)
  //		{
  //			for(String each:g.graph.get(src))
  //			{
  //				if(!vis.contains(each))
  //				{
  //					dfsMap(g, vis, each, ok+1);
  //				}
  //			}
  //		}
  //		
  //		cnt=Math.max(cnt, ok);
  //	}
  	static double sum[];
  	static double cnt;
  	static void DFS(Graph g, boolean[] visited, int u,double path)
  		{
  	        visited[u]=true;
  	        sum[u]=0;
  	        int k=0;
  	        for(int i=0;i<g.list[u].size();i++)
  	        {
  	            int v=g.list[u].get(i);
  	            
  	            if(!visited[v])
  	            {
  	            	DFS(g, visited, v,path+1);
  	            	sum[u]+=sum[v];
  	            	k++;
  	            }
  	            
  	        }
  	        if(k!=0)
  	        sum[u]=sum[u]/(double)k +1;
  
  	  } 
  	
  	
  	  
  	 static class Pair
  	    {
  	       int x,y;
  	       Pair(int x,int y)
  	        {
  	           this.x=x;
  	           this.y=y;
  	        }
  	    }
  	   
  	static long sum_array(int a[])
  	 {
  	    int n=a.length;
  	    long sum=0;
  	    for(int i=0;i<n;i++)
  	     sum+=a[i];
  	    return sum;
  	 }
  	static long sum_array(long a[])
  	 {
  	    int n=a.length;
  	    long sum=0;
  	    for(int i=0;i<n;i++)
  	     sum+=a[i];
  	    return sum;
  	 }
  
  	 static void sort(int[] a) 
  	   {
  			ArrayList<Integer> l=new ArrayList<>();
  			for (int i:a) l.add(i);
  			Collections.sort(l);
  			for (int i=0; i<a.length; i++) a[i]=l.get(i);
  		}
  	static void sort(long[] a) 
  	   {
  			ArrayList<Long> l=new ArrayList<>();
  			for (long i:a) l.add(i);
  			Collections.sort(l);
  			for (int i=0; i<a.length; i++) a[i]=l.get(i);
  		}
  
  	static void reverse_array(int a[])
  	 {
  	    int n=a.length;
  	    int i,t; 
  	    for (i = 0; i < n / 2; i++) { 
  	            t = a[i]; 
  	            a[i] = a[n - i - 1]; 
  	            a[n - i - 1] = t; 
  	        } 
  	 }
  	static void reverse_array(long a[])
  	 {
  	    int n=a.length;
  	    int i; long t; 
  	    for (i = 0; i < n / 2; i++) { 
  	            t = a[i]; 
  	            a[i] = a[n - i - 1]; 
  	            a[n - i - 1] = t; 
  	        } 
  	 }
  	 static long modInverse(long a, long m)
  		    {
  		        long g = gcd(a, m);
  		       
  		          return   power(a, m - 2, m);
  		        
  		    }
  	static long power(long x, long y, long m)
  		    {
  		        if (y == 0)
  		            return 1;
  		        long p = power(x, y / 2, m) % m;
  		        p = (int)((p * (long)p) % m);
  		        if (y % 2 == 0)
  		            return p;
  		        else
  		            return (int)((x * (long)p) % m);
  		    }
  	static long gcd(long a, long b) 
  	    { 
  	        if (a == 0) 
  	            return b; 
  	          
  	        return gcd(b%a, a); 
  	    } 
  	static int gcd(int a, int b) 
  	    { 
  	        if (a == 0) 
  	            return b; 
  	          
  	        return gcd(b%a, a); 
  	    } 
  
  	   static class FastReader{
  	 
  	        byte[] buf = new byte[2048];
  	        int index, total;
  	        InputStream in;
  	 
  	        FastReader(InputStream is) {
  	            in = is;
  	        }
  	 
  	        int scan() throws IOException {
  	            if (index >= total) {
  	                index = 0;
  	                total = in.read(buf);
  	                if (total <= 0) {
  	                    return -1;
  	                }
  	            }
  	            return buf[index++];
  	        }
  	 
  	        String next() throws IOException {
  	            int c;
  	            for (c = scan(); c <= 32; c = scan());
  	            StringBuilder sb = new StringBuilder();
  	            for (; c > 32; c = scan()) {
  	                sb.append((char) c);
  	            }
  	            return sb.toString();
  	        }
  	 
  	        int nextInt() throws IOException {
  	            int c, val = 0;
  	            for (c = scan(); c <= 32; c = scan());
  	            boolean neg = c == '-';
  	            if (c == '-' || c == '+') {
  	                c = scan();
  	            }
  	            for (; c >= '0' && c <= '9'; c = scan()) {
  	                val = (val << 3) + (val << 1) + (c & 15);
  	            }
  	            return neg ? -val : val;
  	        }
  	 
  	        long nextLong() throws IOException {
  	            int c;
  	            long val = 0;
  	            for (c = scan(); c <= 32; c = scan());
  	            boolean neg = c == '-';
  	            if (c == '-' || c == '+') {
  	                c = scan();
  	            }
  	            for (; c >= '0' && c <= '9'; c = scan()) {
  	                val = (val << 3) + (val << 1) + (c & 15);
  	            }
  	            return neg ? -val : val;
  	        }
  	    }
  	   
  	    static class Reader 
  	    { 
  	        final private int BUFFER_SIZE = 1 << 16; 
  	        private DataInputStream din; 
  	        private byte[] buffer; 
  	        private int bufferPointer, bytesRead; 
  	  
  	        public Reader() 
  	        { 
  	            din = new DataInputStream(System.in); 
  	            buffer = new byte[BUFFER_SIZE]; 
  	            bufferPointer = bytesRead = 0; 
  	        } 
  	  
  	        public Reader(String file_name) throws IOException 
  	        { 
  	            din = new DataInputStream(new FileInputStream(file_name)); 
  	            buffer = new byte[BUFFER_SIZE]; 
  	            bufferPointer = bytesRead = 0; 
  	        } 
  	  
  	        public String readLine() throws IOException 
  	        { 
  	            byte[] buf = new byte[64]; // line length 
  	            int cnt = 0, c; 
  	            while ((c = read()) != -1) 
  	            { 
  	                if (c == '\n') 
  	                    break; 
  	                buf[cnt++] = (byte) c; 
  	            } 
  	            return new String(buf, 0, cnt); 
  	        } 
  	  
  	        public int nextInt() throws IOException 
  	        { 
  	            int ret = 0; 
  	            byte c = read(); 
  	            while (c <= ' ') 
  	                c = read(); 
  	            boolean neg = (c == '-'); 
  	            if (neg) 
  	                c = read(); 
  	            do
  	            { 
  	                ret = ret * 10 + c - '0'; 
  	            }  while ((c = read()) >= '0' && c <= '9'); 
  	  
  	            if (neg) 
  	                return -ret; 
  	            return ret; 
  	        } 
  	  
  	        public long nextLong() throws IOException 
  	        { 
  	            long ret = 0; 
  	            byte c = read(); 
  	            while (c <= ' ') 
  	                c = read(); 
  	            boolean neg = (c == '-'); 
  	            if (neg) 
  	                c = read(); 
  	            do { 
  	                ret = ret * 10 + c - '0'; 
  	            } 
  	            while ((c = read()) >= '0' && c <= '9'); 
  	            if (neg) 
  	                return -ret; 
  	            return ret; 
  	        } 
  	  
  	        public double nextDouble() throws IOException 
  	        { 
  	            double ret = 0, div = 1; 
  	            byte c = read(); 
  	            while (c <= ' ') 
  	                c = read(); 
  	            boolean neg = (c == '-'); 
  	            if (neg) 
  	                c = read(); 
  	  
  	            do { 
  	                ret = ret * 10 + c - '0'; 
  	            } 
  	            while ((c = read()) >= '0' && c <= '9'); 
  	  
  	            if (c == '.') 
  	            { 
  	                while ((c = read()) >= '0' && c <= '9') 
  	                { 
  	                    ret += (c - '0') / (div *= 10); 
  	                } 
  	            } 
  	  
  	            if (neg) 
  	                return -ret; 
  	            return ret; 
  	        } 
  	  
  	        private void fillBuffer() throws IOException 
  	        { 
  	            bytesRead = din.read(buffer, bufferPointer = 0, BUFFER_SIZE); 
  	            if (bytesRead == -1) 
  	                buffer[0] = -1; 
  	        } 
  	  
  	        private byte read() throws IOException 
  	        { 
  	            if (bufferPointer == bytesRead) 
  	                fillBuffer(); 
  	            return buffer[bufferPointer++]; 
  	        } 
  	  
  	        public void close() throws IOException 
  	        { 
  	            if (din == null) 
  	                return; 
  	            din.close(); 
  	        } 
  	    }
  	  static  PrintWriter out=new PrintWriter(System.out);
  	  static int int_max=Integer.MAX_VALUE;
  	  static int int_min=Integer.MIN_VALUE;
  	  static long long_max=Long.MAX_VALUE;
  	  static long long_min=Long.MIN_VALUE;
  
  }
  
  
  
  
  