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: /**
   * Created by Himanshu
   **/
  
  import java.util.*;
  import java.io.*;
  import java.math.*;
  
  public class B1556 {
      public static void main(String[] args) throws IOException {
          PrintWriter out = new PrintWriter(System.out);
          Reader s = new Reader();
          int t = s.i();
          while (t-- > 0) {
              int n = s.i();
              int [] arr = s.arr(n);
              ArrayList<Integer> even = new ArrayList<>();
              ArrayList<Integer> odd = new ArrayList<>();
              for (int i=0;i<n;i++) {
                  int x = arr[i];
                  if (x%2 == 0) even.add(i);
                  else odd.add(i);
              }
              if (n%2 == 0) {
                  if (even.size() == odd.size()) {
                      int val1 = compare(even);
                      int val2 = compare(odd);
                      out.println(Math.min(val1,val2));
                  } else {
                      out.println(-1);
                  }
              } else {
                  if (even.size() + 1 == odd.size()) {
                      int val = compare(odd);
                      out.println(val);
                  } else if (even.size() == odd.size() + 1) {
                      int val = compare(even);
                      out.println(val);
                  } else {
                      out.println(-1);
                  }
              }
          }
          out.flush();
      }
  
      private static int compare(ArrayList<Integer> list) {
          int i = 0;
          int ans = 0;
          for (int x : list) {
              ans += Math.abs(x-i);
              i+=2;
          }
          return ans;
      }
  
      private static String evenParity(int n) {
          StringBuilder sb = new StringBuilder();
          for (int i=0;i<n;i++) {
              if (i%2 == 0) sb.append('E');
              else sb.append('O');
          }
          return sb.toString();
      }
  
      private static String oddParity(int n) {
          StringBuilder sb = new StringBuilder();
          for (int i=0;i<n;i++) {
              if (i%2 == 0) sb.append('O');
              else sb.append('E');
          }
          return sb.toString();
      }
  
      public static void shuffle(long[] arr) {
          int n = arr.length;
          Random rand = new Random();
          for (int i = 0; i < n; i++) {
              long temp = arr[i];
              int randomPos = i + rand.nextInt(n - i);
              arr[i] = arr[randomPos];
              arr[randomPos] = temp;
          }
      }
  
      private static long phi(long n) {
          long result = n;
          for (long i = 2; i * i <= n; i++) {
              if (n % i == 0) {
                  while (n % i == 0)
                      n /= i;
                  result -= result / i;
              }
          }
          if (n > 1)
              result -= result / n;
          return result;
      }
  
      private static int gcd(int a, int b) {
          if(b == 0) return a;
          return gcd(b,a%b);
      }
  
      public static long nCr(long[] fact, long[] inv, int n, int r, long mod) {
          if (n < r)
              return 0;
          return ((fact[n] * inv[n - r]) % mod * inv[r]) % mod;
      }
  
      private static void factorials(long[] fact, long[] inv, long mod, int n) {
          fact[0] = 1;
          inv[0] = 1;
          for (int i = 1; i <= n; ++i) {
              fact[i] = (fact[i - 1] * i) % mod;
              inv[i] = power(fact[i], mod - 2, mod);
          }
      }
  
      private static long power(long a, long n, long p) {
          long result = 1;
          while (n > 0) {
              if (n % 2 == 0) {
                  a = (a * a) % p;
                  n /= 2;
              } else {
                  result = (result * a) % p;
                  n--;
              }
          }
          return result;
      }
  
      private static long power(long a, long n) {
          long result = 1;
          while (n > 0) {
              if (n % 2 == 0) {
                  a = (a * a);
                  n /= 2;
              } else {
                  result = (result * a);
                  n--;
              }
          }
          return result;
      }
  
      private static long query(long[] tree, int in, int start, int end, int l, int r) {
          if (start >= l && r >= end) return tree[in];
          if (end < l || start > r) return 0;
          int mid = (start + end) / 2;
          long x = query(tree, 2 * in, start, mid, l, r);
          long y = query(tree, 2 * in + 1, mid + 1, end, l, r);
          return x + y;
      }
  
      private static void update(int[] arr, long[] tree, int in, int start, int end, int idx, int val) {
          if (start == end) {
              tree[in] = val;
              arr[idx] = val;
              return;
          }
          int mid = (start + end) / 2;
          if (idx > mid) update(arr, tree, 2 * in + 1, mid + 1, end, idx, val);
          else update(arr, tree, 2 * in, start, mid, idx, val);
          tree[in] = tree[2 * in] + tree[2 * in + 1];
      }
  
      private static void build(int[] arr, long[] tree, int in, int start, int end) {
          if (start == end) {
              tree[in] = arr[start];
              return;
          }
          int mid = (start + end) / 2;
          build(arr, tree, 2 * in, start, mid);
          build(arr, tree, 2 * in + 1, mid + 1, end);
          tree[in] = (tree[2 * in + 1] + tree[2 * in]);
      }
  
      static class Reader {
          private InputStream mIs;
          private byte[] buf = new byte[1024];
          private int curChar, numChars;
  
          public Reader() {
              this(System.in);
          }
  
          public Reader(InputStream is) {
              mIs = is;
          }
  
          public int read() {
              if (numChars == -1) throw new InputMismatchException();
              if (curChar >= numChars) {
                  curChar = 0;
                  try {
                      numChars = mIs.read(buf);
                  } catch (IOException e) {
                      throw new InputMismatchException();
                  }
                  if (numChars <= 0) return -1;
              }
              return buf[curChar++];
          }
  
          public String nextLine() {
              int c = read();
              while (isSpaceChar(c)) c = read();
              StringBuilder res = new StringBuilder();
              do {
                  res.appendCodePoint(c);
                  c = read();
              } while (!isEndOfLine(c));
              return res.toString();
          }
  
          public String s() {
              int c = read();
              while (isSpaceChar(c)) c = read();
              StringBuilder res = new StringBuilder();
              do {
                  res.appendCodePoint(c);
                  c = read();
              } while (!isSpaceChar(c));
              return res.toString();
          }
  
          public long l() {
              int c = read();
              while (isSpaceChar(c)) c = read();
              int sgn = 1;
              if (c == '-') {
                  sgn = -1;
                  c = read();
              }
              long res = 0;
              do {
                  if (c < '0' || c > '9') throw new InputMismatchException();
                  res *= 10;
                  res += c - '0';
                  c = read();
              } while (!isSpaceChar(c));
              return res * sgn;
          }
  
          public int i() {
              int c = read();
              while (isSpaceChar(c)) c = read();
              int sgn = 1;
              if (c == '-') {
                  sgn = -1;
                  c = read();
              }
              int res = 0;
              do {
                  if (c < '0' || c > '9') throw new InputMismatchException();
                  res *= 10;
                  res += c - '0';
                  c = read();
              } while (!isSpaceChar(c));
              return res * sgn;
          }
  
          public double d() throws IOException {
              return Double.parseDouble(s());
          }
  
          public boolean isSpaceChar(int c) {
              return c == ' ' || c == '\n' || c == '\r' || c == '\t' || c == -1;
          }
  
          public boolean isEndOfLine(int c) {
              return c == '\n' || c == '\r' || c == -1;
          }
  
          public int[] arr(int n) {
              int[] ret = new int[n];
              for (int i = 0; i < n; i++) {
                  ret[i] = i();
              }
              return ret;
          }
  
          public long[] arrLong(int n) {
              long[] ret = new long[n];
              for (int i = 0; i < n; i++) {
                  ret[i] = l();
              }
              return ret;
          }
      }
  //    static class pairLong implements Comparator<pairLong> {
  //        long first, second;
  //
  //        pairLong() {
  //        }
  //
  //        pairLong(long first, long second) {
  //            this.first = first;
  //            this.second = second;
  //        }
  //
  //        @Override
  //        public int compare(pairLong p1, pairLong p2) {
  //            if (p1.first == p2.first) {
  //                if(p1.second > p2.second) return 1;
  //                else return -1;
  //            }
  //            if(p1.first > p2.first) return 1;
  //            else return -1;
  //        }
  //    }
  //    static class pair implements Comparator<pair> {
  //        int first, second;
  //
  //        pair() {
  //        }
  //
  //        pair(int first, int second) {
  //            this.first = first;
  //            this.second = second;
  //        }
  //
  //        @Override
  //        public int compare(pair p1, pair p2) {
  //            if (p1.first == p2.first) return p1.second - p2.second;
  //            return p1.first - p2.first;
  //        }
  //    }
  }
  
  