You are given a garland consisting of n lamps. States of the lamps are represented by the string s of length n. The i-th character of the string s_i equals '0' if the i-th lamp is turned off or '1' if the i-th lamp is turned on. You are also given a positive integer k.

In one move, you can choose one lamp and change its state (i.e. turn it on if it is turned off and vice versa).

The garland is called k-periodic if the distance between each pair of adjacent turned on lamps is exactly k. Consider the case k=3. Then garlands "00010010", "1001001", "00010" and "0" are good but garlands "00101001", "1000001" and "01001100" are not. Note that the garland is not cyclic, i.e. the first turned on lamp is not going after the last turned on lamp and vice versa.

Your task is to find the minimum number of moves you need to make to obtain k-periodic garland from the given one.

You have to answer t independent test cases.

Input

The first line of the input contains one integer t (1 ≤ t ≤ 25~ 000) — the number of test cases. Then t test cases follow.

The first line of the test case contains two integers n and k (1 ≤ n ≤ 10^6; 1 ≤ k ≤ n) — the length of s and the required period. The second line of the test case contains the string s consisting of n characters '0' and '1'.

It is guaranteed that the sum of n over all test cases does not exceed 10^6 (∑ n ≤ 10^6).

Output

For each test case, print the answer — the minimum number of moves you need to make to obtain k-periodic garland from the given one.

Example

Input


6
9 2
010001010
9 3
111100000
7 4
1111111
10 3
1001110101
1 1
1
1 1
0


Output


1
2
5
4
0
0
//package learning;
import java.util.*;
import java.io.*;
import java.lang.*;
import java.text.*;
import java.math.*;
import java.util.regex.*;
public class NitsLocal {
    static ArrayList<String> s1;
    static boolean[] prime;
    static int n = 200001;
    
     static void sieve() {
Arrays.fill(prime	, true);
prime[0] = prime[1] = false;
for(int i = 2 ; i * i <= n ; ++i) {
if(prime[i]) {
for(int k = i * i; k<= n ; k+=i) {
prime[k] = false;
}
}
}
 
}
    public static void main(String[] args) {
        InputReader sc = new InputReader(System.in);
        
           //prime  = new boolean[n + 1];
          // sieve();
                //prime[1] = false;
              
                  
             /*    
        int n = sc.ni();
        int k = sc.ni();
        int []vis = new int[n+1];
        int []a = new int[k];
        for(int i=0;i<k;i++)
        {
            a[i] = i+1;
        }
        int j = k+1;
        int []b = new int[n+1];
        for(int i=1;i<=n;i++)
        {
            b[i] = -1;
        }
        int y = n - k +1;
        int tr = 0;
        int y1 = k+1;
        while(y-- > 0)
        {
        System.out.print("? ");
        for(int i=0;i<k;i++)
        {
            System.out.print(a[i] + " ");
        }
        
        System.out.flush();
        int pos = sc.ni();
        int a1 = sc.ni();
        b[pos] = a1;
        
        
        for(int i=0;i<k;i++)
        {
            if(a[i] == pos)
            {
                a[i] = y1;
                y1++;
            }
        }
        }
        ArrayList<Integer> a2 = new ArrayList<>();
        if(y >= k)
        {
            
        int c = 0;
        int k1 = 0;
            for(int i=1;i<=n;i++)
            {
                if(b[i] != -1)
                {
                    c++;
                    a[k1] = i;
                    a2.add(b[i]);
                    k1++;
                }
                if(c==k)
                    break;
            }
            
            Collections.sort(a2);
            System.out.print("? ");
        for(int i=0;i<k;i++)
        {
            System.out.print(a[i] + " ");
        }
        System.out.println();
        System.out.flush();
        int pos = sc.ni();
        int a1 = sc.ni();
        int ans = -1;
        for(int i=0;i<a2.size();i++)
        {
            if(a2.get(i) == a1)
            {
                ans = i+1;
                break;
            }
        }
        System.out.println("!" + " " + ans);
           System.out.flush();  
        }
        else
        {
            int k1 = 0;
            a = new int[k];
             for(int i=1;i<=n;i++)
            {
                if(b[i] != -1)
                {
                    
                    a[k1] = i;
                    a2.add(b[i]);
                    k1++;
                }
             
            }
              for(int i=1;i<=n;i++)
            {
                if(b[i] == -1)
                {
                    
                    a[k1] = i;
                    
                    k1++;
                    if(k1==k)
                        break;
                }
             
            }
              int ans = -1;
              while(true)
              {
                   System.out.print("? ");
                     for(int i=0;i<k;i++)
                   {
                         System.out.print(a[i] + " ");
                  }
                   System.out.println();
                   System.out.flush();
                   int pos = sc.ni();
                   int a1 = sc.ni();
                   int f = 0;
                   
                   if(b[pos] != -1)
                   {
                       Collections.sort(a2);
                       for(int i=0;i<a2.size();i++)
                       {
                           if(a2.get(i) == a1)
                           {
                               ans = i+1;
                               f = 1;
                               System.out.println("!" + " " + ans);
                               System.out.flush();
                               break;
                           }
                       }
                       if(f==1)
                           break;
                   }
                   else
                   {
                       b[pos] = a1;
                        a = new int[k];
                        a2.add(a1);
             for(int i=1;i<=n;i++)
            {
                if(b[i] != -1)
                {
                    
                    a[k1] = i;
                    a2.add(b[i]);
                    k1++;
                }
             
            }
              for(int i=1;i<=n;i++)
            {
                if(b[i] == -1)
                {
                    
                    a[k1] = i;
                    
                    k1++;
                    if(k1==k)
                        break;
                }
             
                       
                   }
              }
        }  
          */
             
 
    /*
          int n = sc.ni();
          int []a = sc.nia(n);
          int []b = sc.nia(n);
          Integer []d = new Integer[n];
          int []d1 = new int[n];
          for(int i=0;i<n;i++)
          {
              d[i] = (a[i] - b[i]);
             
          }
          int l = 0;
          int r = n-1;
          Arrays.sort(d);
          long res = 0;
          while(l < r)
          {
              if(d[l] + d[r] > 0)
              {
                  res += (long) (r-l);
                  r--;
              }
              else 
                  l++;
          }
          
          w.println(res);
*/
      /*
      int n = sc.ni();
     
      ArrayList<Integer> t1 = new ArrayList<>();
      int []p1 = new int[n+1];
      int []q1 = new int[n-1];
      int []q2 = new int[n-1];
      for(int i=0;i<n-1;i++)
      {
          int p = sc.ni();
          int q = sc.ni();
          t1.add(q);
          p1[p]++;
          q1[i] = p;
          q2[i] = q;
          
      }
      int res = 0;
      for(int i=0;i<t1.size();i++)
      {
          if(p1[t1.get(i)] == 0)
          {
              res = t1.get(i);
              //break;
          }
      }
      
    int y = 1;
    for(int i=0;i<n-1;i++)
    {
        if(q2[i] == res)
        {
            w.println("0");
        }
        else
        {
            w.println(y + " ");
            y++;
        }
    }
      */
 /*
   int n = sc.ni();
   int k = sc.ni();
   Integer []a = new Integer[n];
   for(int i=0;i<n;i++)
   {
       a[i] = sc.ni();
       a[i] = a[i]%k;
   }
   HashMap<Integer,Integer> hm = new HashMap<>();
   for(int i=0;i<n;i++)
   {
       if(!hm.containsKey(a[i]))
           hm.put(a[i], 1);
       else
           hm.put(a[i], hm.get(a[i]) + 1);
   }
  Arrays.sort(a);
  int z = 0;
  long res = 0;
  HashMap<Integer,Integer> v = new HashMap<>();
  for(int i=0;i<n;i++)
  {
      if(a[i] == 0)
          res++;
      else
      {
          if(a[i] == k-a[i] && !v.containsKey(a[i]))
          {
              res += (long) hm.get(a[i]) / 2;
              v.put(a[i],1);
          }
          else
          {
          if(hm.containsKey(a[i]) && hm.containsKey(k-a[i]))
          {
          int temp = a[i];
          
          if(!v.containsKey(a[i]) && !v.containsKey(k-a[i]))
          {
             res += (long) Math.min(hm.get(temp), hm.get(k-temp));
             v.put(temp,1);
             v.put(k-temp,1);
          }
          }
          }
      }
  }
  w.println(res);
*/
 /*
int []a = new int[4];
//G0
a[0] = 0;
a[1] = 1;
a[2] = 0;
a[3] = 1;
int []b = new int[4];
//g1
b[0] = 0;
b[1] = 1;
b[2] = 1;
b[3] = 0;
int [][]dp1 = new int[4][4];
int [][]dp2 = new int[4][4];
for(int i=0;i<4;i++)
{
    for(int j=0;j<4;j++)
    {
        dp1[i][j] = (a[i] | a[j]);
    }
   // w.println();
}
w.println();
for(int i=0;i<4;i++)
{
    for(int j=0;j<4;j++)
    {
        dp2[i][j] = (b[i] | b[j]);
    }
    //w.println();
}
int a1 = 0;
int b1 = 0;
int c1 = 0;
int d1 = 0;
for(int i=0;i<4;i++)
{
    for(int j=0;j<4;j++)
    {
        if(dp1[i][j] == 0 && dp2[i][j] == 0)
            a1++;
        else  if(dp1[i][j] == 1 && dp2[i][j] == 1)
            b1++;
        else  if(dp1[i][j] == 0 && dp2[i][j] == 1)
            c1++;
        else
            d1++;
       
    }
}
w.println(a1+ " " + b1 + " " + c1 +" "+ d1);

Scanner sc = new Scanner(System.in);
    int q = sc.nextInt();
    while(q-- > 0)
    {
        long x = sc.nextLong();
        long y = sc.nextLong();
        long a = (x - y)/2;  
        long a1 = 0, b1 = 0; 
        
        
        int lim     = 8; 
  
   
    int f = 0;
    
    for (int i=0; i<8*lim; i++)  
    {  
        long pi = (y & (1 << i));  
        long qi = (a & (1 << i));  
        if (pi == 0 && qi == 0)  
        {  
             
        }  
        else if (pi == 0 && qi > 0)  
        {  
            a1 = ((1 << i) | a1);  
            b1 = ((1 << i) | b1);  
        }  
        else if (pi > 0 && qi == 0)  
        {  
            a1 = ((1 << i) | a1);  
  
           
        }  
        else
        {  
            f = 1;  
            
        }  
    }  
    if(a1+b1 != x)
        f  =1;
  if(f==1)
            System.out.println("-1");
  else
  {
       if(a1 > b1)
       {
           long temp = a1;
           a1 = b1;
           b1 = temp;
       }
    System.out.println(a1 + " " + b1);
   
  }
  
  
    }
     
     */
int t = sc.ni();
while(t-- > 0)
{
 int n = sc.ni();
 int k = sc.ni();
 String s = sc.rs();
 ArrayList<Integer> []a = new ArrayList[k];
 ArrayList<Character> []a1 = new ArrayList[k];
 int tot = 0;
 for(int i=0;i<k;i++)
 {
     a[i] = new ArrayList<>();
     a1[i] = new ArrayList<>();
 }
 int []c = new int[k];
 for(int i=0;i<s.length();i++)
 {
     if(s.charAt(i) == '1')
         tot++;
 }
 int ans = tot;
 for(int i=0;i<k;i++)
 {
     int sum = 0;
     for(int j=i;j<n;j+=k)
     {
         if(s.charAt(j) == '1')
             sum++;
         else
             sum--;
         
         sum =Math.max(sum,0);
         ans = Math.min(ans,tot-sum);
         
         
     }
 }
 w.println(ans);
     
 }

    
 
       w.close();
       
        
    
    
} 
    static int maxSubArraySum(ArrayList<Integer> a) 
    { 
        int size = a.size(); 
        int max_so_far = Integer.MIN_VALUE, max_ending_here = 0; 
  int temp =0;
        for (int i = 0; i < size; i++) 
        { 
            max_ending_here = max_ending_here + a.get(i); 
            if (max_so_far < max_ending_here) 
            {
                max_so_far = max_ending_here; 
                l = temp;
                r = i;
            }
            if (max_ending_here <= 0) 
            {
                max_ending_here = 0;
                temp = i+1;
            }
        } 
        return max_so_far; 
    } 
  static int l,r;  
    static long nCrModPFermat(int n, int r, 
                                    long p) 
    { 
          
        // Base case 
        if (r == 0) 
            return 1; 
      
        // Fill factorial array so that we 
        // can find all factorial of r, n 
        // and n-r 
       
          
        
           
      
        return (fact[n]* modInverse(fact[r], p) % p * modInverse(fact[n-r], p) % p) % p; 
    } 
   static long []fact;
    static int []res;
    static int c = 0;
    static class Pair{
        int fir;
        int last;
        Pair(int fir,int last)
        {
            this.fir = fir;
            this.last = last;
        }
    }
    static class m1 implements Comparator<Pair>{
        public int compare(Pair a, Pair b)
        {
            int t1 = a.last - a.fir;
            int t2 = b.last - b.fir;
            if(t1 < t2)
                return 1;
            else if(t1 > t2)
                return -1;
            else
            {
                if(a.fir < b.fir)
                    return -1;
                else
                    return 1;
            }
        }
    }
   
    static long calc(long x)
    {
        double res = Math.sqrt(1 + 24*(double)x);
        res -= 1.0;
        res = res / (double) 6;
        return (long) res;
    }
   
 public static final BigInteger MOD = BigInteger.valueOf(998244353L);
    
    static BigInteger fact(int x)
    {
        BigInteger res = BigInteger.ONE;
        for(int i=2;i<=x;i++)
        {
            res = res.multiply(BigInteger.valueOf(i)).mod(MOD);
        }
        return res;
    }
   
    public static long calc(int x,int y,int z)
    {
        long res = ((long) (x-y) * (long) (x-y)) + ((long) (z-y) * (long) (z-y)) + ((long) (x-z) * (long) (x-z));
        return res;
    }
    
    public static int upperBound(ArrayList<Integer>arr, int length, int value) {
        int low = 0;
        int high = length;
        while (low < high) {
            final int mid = (low + high) / 2;
            if (value >= arr.get(mid)) {
                low = mid + 1;
            } else {
                high = mid;
            }
        }
        return low;
    }
    
     public static int lowerBound(ArrayList<Integer> arr, int length, int value) {
        int low = 0;
        int high = length;
        while (low < high) {
            final int mid = (low + high) / 2;
            //checks if the value is less than middle element of the array
            if (value <= arr.get(mid)) {
                high = mid;
            } else {
                low = mid + 1;
            }
        }
        return low;
    }
    static HashMap<Long,Integer> map;
  
          
    static class Coin{
        long a;
        long b;
        
        Coin(long a, long b)
        {
            this.a = a;
            this.b = b;
           
        }
    }
    static ArrayList<Long> fac;
    static HashSet<Long> hs;
    public static void primeFactors(long n) 
    { 
        // Print the number of 2s that divide n 
        while (n % 2 == 0) { 
            fac.add(2l);
            hs.add(2l);
            n /= 2; 
        } 
  
        // n must be odd at this point.  So we can 
        // skip one element (Note i = i +2) 
        for (long i = 3; i*i <= n; i += 2) { 
            // While i divides n, print i and divide n 
            while (n % i == 0) { 
                fac.add(i);
                hs.add(i);
                n /= i; 
            } 
        } 
  
        // This condition is to handle the case whien 
        // n is a prime number greater than 2 
        if (n > 2) 
            fac.add(n);
    } 
   static int smallestDivisor(int n)  
{  
    // if divisible by 2  
    if (n % 2 == 0)  
        return 2;  
  
    // iterate from 3 to sqrt(n)  
    for (int i = 3; i * i <= n; i += 2) {  
        if (n % i == 0)  
            return i;  
    }  
  
    return n;  
}  
 static boolean IsP(String s,int l,int r)
 {
      while(l <= r)
      {
          if(s.charAt(l) != s.charAt(r))
          {
              return false;
          }
         l++;
         r--;
      }
      return true;
 }
  
	

    
    
 static class Student{
    int id;
    int val;
     Student(int id,int val)
     {
      this.id = id;
      this.val = val;
     }
 }
   
   
   
 
     static int upperBound(ArrayList<Integer> a, int low, int high, int element){
    while(low < high){
        int middle = low + (high - low)/2;
        if(a.get(middle) >= element)
            high = middle;
        else 
            low = middle + 1;
    }
    return low;
}
   static long func(long t,long e,long h,long a, long b)
   {
       if(e*a >= t)
           return t/a;
       else
       {
           return e + Math.min(h,(t-e*a)/b);
       }
   }
         
      
   
    public static int countSetBits(int number){
        int count = 0;
        while(number>0){
            ++count;
            number &= number-1;
        }
        return count;
    }
    
     
      
 
    
   
     static long modexp(long x,long n,long M)
{
    long power = n;
    long result=1;
    x = x%M;
    while(power>0)
    {
        if(power % 2 ==1)
            result=(result * x)%M;
        x=(x*x)%M;
        power = power/2;
    }
    return result;
}
      static long modInverse(long A,long M)
{
    return modexp(A,M-2,M);
}
    static long gcd(long a,long b)
    {
        if(a==0)
            return b;
        else
            return gcd(b%a,a);
    }
    static class Temp{
        int a;
        int b;
        int c;
        int d;
      
        Temp(int a,int b,int c,int d)
        {
            this.a = a;
            this.b = b;
            this.c  =c;
            this.d = d;
            //this.d = d;
        }
    }
   
    
    
   static long sum1(int t1,int t2,int x,int []t)
   {
       int mid = (t2-t1+1)/2;
  if(t1==t2)
      return 0;
    
   else
   return sum1(t1,mid-1,x,t) + sum1(mid,t2,x,t);
    
     
   }
  
   
    static String replace(String s,int a,int n)
    {
        char []c = s.toCharArray();
        for(int i=1;i<n;i+=2)
        {
            int num = (int) (c[i] - 48);
            num += a;
            num%=10;
            c[i] = (char) (num+48);
        }
        return new String(c);
    }
    static String move(String s,int h,int n)
    {
        h%=n;
        char []c = s.toCharArray();
        char []temp = new char[n];
        for(int i=0;i<n;i++)
        {
            temp[(i+h)%n] = c[i];
        }
        return new String(temp);
    }
    
     public static int ip(String s){
return Integer.parseInt(s);
}
     static class multipliers implements Comparator<Long>{
  
         
  public int compare(Long a,Long b) {
   if(a<b)
    return 1;
   else if(b<a)
    return -1;
   else
    return 0;
  }
 }
     
     static class multipliers1 implements Comparator<Coin>{
  
  public int compare(Coin a,Coin b) {
   if(a.a < b.a)
       return 1;
   else if(a.a > b.a)
       return -1;
   else{ 
       if(a.b < b.b)
       return 1;
   else if(a.b > b.b)
       return -1;
       else
       return 0;
   }
       
  
 
     }
     }
     
// Java program to generate power set in 
// lexicographic order. 
 
    
    
    
      static class InputReader {
 
private final InputStream stream;
private final byte[] buf = new byte[8192];
private int curChar, snumChars;
 
public InputReader(InputStream st) {
this.stream = st;
}
 
public int read() {
if (snumChars == -1)
throw new InputMismatchException();
if (curChar >= snumChars) {
curChar = 0;
try {
snumChars = stream.read(buf);
} catch (IOException e) {
throw new InputMismatchException();
}
if (snumChars <= 0)
return -1;
}
return buf[curChar++];
}
 
public int ni() {
int c = read();
while (isSpaceChar(c)) {
c = read();
}
int sgn = 1;
if (c == '-') {
sgn = -1;
c = read();
}
int res = 0;
do {
res *= 10;
res += c - '0';
c = read();
} while (!isSpaceChar(c));
return res * sgn;
}
 
public long nl() {
int c = read();
while (isSpaceChar(c)) {
c = read();
}
int sgn = 1;
if (c == '-') {
sgn = -1;
c = read();
}
long res = 0;
do {
res *= 10;
res += c - '0';
c = read();
} while (!isSpaceChar(c));
return res * sgn;
}
 
public int[] nia(int n) {
int a[] = new int[n];
for (int i = 0; i < n; i++) {
a[i] = ni();
}
return a;
}
 
public String rs() {
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 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 boolean isSpaceChar(int c) {
return c == ' ' || c == '\n' || c == '\r' || c == '\t' || c == -1;
}
 
private boolean isEndOfLine(int c) {
return c == '\n' || c == '\r' || c == -1;
}
 
}
 
 
 
 
 
   
static PrintWriter w = new PrintWriter(System.out);
                  static class Student1
    {
        int id;
        //int x;
       
       int b;
      
        //long z;
        
        Student1(int id,int b)
        {
            this.id = id;
            //this.x = x;
            //this.s = s;
            this.b = b;
          
           // this.z = z;
            
            
            
           
        }
        
    }
}