package com.example;

import java.io.IOException;
import java.util.List;

public class ProblemB {
    
    enum Result {
	INSUFFICIENT,
	SUFFICIENT,
	SUFFICIENT_WHEN_SURPRISING
    }

    public static void main(String[] a) throws IOException {

	List<String> lines = FileUtil.getLines("/B-large.in");
	
	int cases = Integer.valueOf(lines.get(0));
	
	for(int c=0; c<cases; c++) {
	    String[] tokens = lines.get(c+1).split(" ");
	    
	    int n = Integer.valueOf(tokens[0]); // N = number of Googlers
	    int s = Integer.valueOf(tokens[1]); // S = number of surprising triplets
	    int p = Integer.valueOf(tokens[2]); // P = __at least__ a score of P
	    
	    int sumSufficient = 0;
	    int sumSufficientSurprising = 0;
	    
	    for(int i=0; i<n; i++) {
		int points = Integer.valueOf(tokens[3+i]);
		
		switch(test(points, p)) {
		case SUFFICIENT:
		    sumSufficient++;
		    break;
		    
		case SUFFICIENT_WHEN_SURPRISING:
		    sumSufficientSurprising++;
		    break;
		}
		
//		uSystem.out.println("points "+ points +" ? "+ p +" => "+ result);
	    }
	    
	    System.out.println("Case #"+ (c+1) +": "+ (sumSufficient + Math.min(s, sumSufficientSurprising)));
	    
//	    System.out.println();
//	    System.out.println("N="+ n +", S="+ s +", P="+ p);
//	    System.out.println();
	}
    }

    private static Result test(int n, int p) {
	int fac = n / 3;
	int rem = n % 3;
	
	if(rem == 0) {
	    
//	    int triplet0[] = { fac, fac, fac };
//	    print(n, triplet0);
	    
	    if(fac >= p) {
		return Result.SUFFICIENT;
	    }
	    
	    if(fac > 0 && fac < 10) {
		
		if(fac+1 >= p) {
		    return Result.SUFFICIENT_WHEN_SURPRISING;
		}
		
//		int triplet1[] = { fac+1, fac, fac-1 }; // surprising 
//		print(n, triplet1);
	    }
	    
	    
	} else if(rem == 1) {
	    
//	    int triplet0[] = { fac+1, fac, fac };
//	    print(n, triplet0);
	    
	    if(fac+1 >= p) {
		return Result.SUFFICIENT;
	    }
	    
//	    if(fac > 0 && fac < 10) {
//		int triplet1[] = { fac+1, fac+1, fac-1 };
//		print(n, triplet1);
//	    }
	    
	} else if(rem == 2) {
	    
//	    int triplet0[] = { fac+1, fac+1, fac };
//	    print(n, triplet0);
	    
	    if(fac+1 >= p) {
		return Result.SUFFICIENT;
	    }
	    
	    if(fac < 9) {
//		int triplet1[] = { fac+2, fac, fac }; // surprising
//		print(n, triplet1);

		if(fac+2 >= p) {
		    return Result.SUFFICIENT_WHEN_SURPRISING;
		}
	    }
	    
	} else {
	    throw new RuntimeException("error");
	}
	
	return Result.INSUFFICIENT;
//	System.out.println();
//	System.out.println(n +" => "+ div3 +" ("+ rem +")");
    }
    
//    private static void print(int n, int[] triplet) {
//	System.out.println("n="+ n +" ("+ (n/3) +","+ (n%3) +") => ["+ triplet[0] +","+ triplet[1] +","+ triplet[2] +"]" + (triplet[0]-triplet[2] > 1 ? " *" : ""));
//    }
    
}

package com.jagsaund.codejam.qualifcation;

import java.util.ArrayList;
import java.util.List;
import java.util.StringTokenizer;

public class DancingWithGooglers {
  private List<List<Integer>> _sets;
  private int _numOfSurprisingTriplets;
  private int _minResult;
  
  public DancingWithGooglers() {
    _sets = new ArrayList<List<Integer>>();
  }
  
  public String run(String line) {
    int[] googlers = null;
    int numOfGooglers;
    
    int pos = 0;
    
    StringTokenizer tokenizer = new StringTokenizer(line);
    
    while (tokenizer.hasMoreElements()) {
      int v = Integer.parseInt(tokenizer.nextToken());
      if (pos == 0) {
        numOfGooglers = v;
        googlers = new int[numOfGooglers];
      } else if (pos == 1) {
        _numOfSurprisingTriplets = v;
      } else if (pos == 2) {
        _minResult = v;
      } else {
        googlers[pos-3] = v;
      }
      
      pos++;
    }
    
    int count = 0;
    
    for (int number : googlers) {
      getIntegerSet(number);
      
      if (_sets.size() > 0) {
        if (_sets.size() == 1) {
          List<Integer> set = _sets.get(0);
          
          int low = Integer.MAX_VALUE;
          int high = Integer.MIN_VALUE;
          
          for (int n : set) {
            if (n < low) low = n;
            if (n > high) high = n;
          }
          
          if ((high - low) == 2 && _numOfSurprisingTriplets > 0) {
            _numOfSurprisingTriplets--;
            count++;
          } else if ((high - low) < 2) {
            count++;
          }
        
        } else {
          count++;
        }
      }
      
      
//      if (number == 0 && _minResult == 0) count++;
      
      _sets.clear();
    }
    
    return count + "";
  }
  
  private void getIntegerSet(int x) {
    getIntegerSet(x, x, new ArrayList<Integer>());
  }
  
  private void getIntegerSet(int x, int max, List<Integer> prefix) {
    if (x == 0) {
      if (prefix.size() <= 3) {
        if (prefix.size() == 2) {
          prefix.add(0);
        }
        
        if (prefix.size() == 1) {
          prefix.add(0);
          prefix.add(0);
        }
        
        if (prefix.size() == 0) {
          prefix.add(0);
          prefix.add(0);
          prefix.add(0);
        }
        
        int low = Integer.MAX_VALUE;
        int high = Integer.MIN_VALUE;
        
        for (int n : prefix) {
          if (n < low) low = n;
          if (n > high) high = n;
        }
        
        if (high >= _minResult && (high - low) <= 2 && high <= 10) {
          _sets.add(prefix);  
        }
      }
      
      return;
    }
    
    for (int i=Math.min(x, max); i>=1; i--) {
      List<Integer> tmp = new ArrayList<Integer>(prefix);
      tmp.add(i);
      getIntegerSet(x-i, i, tmp);
    }
  }
}
