title: Maximum Sum Pairs Specific Difference
signature: class Solution {
  
      public Integer maximumSumPairsSpecificDifference(ArrayList<Integer> arr, Integer n, Integer k) {
source_py: def maximum_sum_pairs_specific_difference(arr, N, K):
      arr.sort()
      dp = ([0] * N)
      dp[0] = 0
      for i in range(1, N):
          dp[i] = dp[(i - 1)]
          if ((arr[i] - arr[(i - 1)]) < K):
              if (i >= 2):
                  dp[i] = max(dp[i], ((dp[(i - 2)] + arr[i]) + arr[(i - 1)]))
              else:
                  dp[i] = max(dp[i], (arr[i] + arr[(i - 1)]))
      return dp[(N - 1)]
source_cpp: int maximum_sum_pairs_specific_difference(vector<int> arr, int N, int K) {
    sort(arr.begin(), arr.end());
    int dp [ N ];
    dp [ 0 ] = 0;
    for ( int i = 1;
    i < N;
    i ++ ) {
      dp [ i ] = dp [ i - 1 ];
      if ( arr [ i ] - arr [ i - 1 ] < K ) {
        if ( i >= 2 ) dp [ i ] = max ( dp [ i ], dp [ i - 2 ] + arr [ i ] + arr [ i - 1 ] );
        else dp [ i ] = max ( dp [ i ], arr [ i ] + arr [ i - 1 ] );
      }
    }
    return dp [ N - 1 ];
  }
question_info.extension: java
question_info.entry_fn_name: maximumSumPairsSpecificDifference
question_info.entry_cls_name: Solution
question_info.test_list: [{"idx": 0, "outputs": 156, "inputs": {"arr": [48, 53, 67, 78, 78, 93, 95], "n": 6, "k": 4}}, {"idx": 1, "outputs": 62, "inputs": {"arr": [-70, -32, -2, 18, 30, 32, 52, 70, 72, 88], "n": 8, "k": 8}}, {"idx": 2, "outputs": 10, "inputs": {"arr": [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], "n": 37, "k": 31}}, {"idx": 3, "outputs": 1083, "inputs": {"arr": [2, 3, 5, 5, 6, 10, 12, 13, 13, 16, 23, 23, 34, 36, 39, 40, 42, 45, 45, 47, 51, 51, 52, 56, 57, 58, 60, 60, 60, 60, 61, 63, 67, 68, 71, 73, 75, 80, 80, 82, 84, 86, 86, 86, 86, 89, 90, 98, 99], "n": 31, "k": 37}}, {"idx": 4, "outputs": 0, "inputs": {"arr": [-84, -56, 68, 78], "n": 3, "k": 3}}, {"idx": 5, "outputs": 5, "inputs": {"arr": [0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1], "n": 14, "k": 9}}, {"idx": 6, "outputs": 849, "inputs": {"arr": [1, 2, 3, 9, 12, 12, 16, 17, 18, 19, 20, 21, 21, 26, 29, 42, 44, 45, 48, 48, 48, 54, 54, 55, 60, 63, 63, 64, 64, 67, 67, 68, 69, 74, 78, 78, 79, 83, 95, 95, 95, 96, 97, 99], "n": 27, "k": 42}}, {"idx": 7, "outputs": 0, "inputs": {"arr": [-92, -58, -56, -48, -42, -16, -14, 28, 40, 42, 54, 60, 64], "n": 9, "k": 8}}, {"idx": 8, "outputs": 9, "inputs": {"arr": [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], "n": 21, "k": 19}}, {"idx": 9, "outputs": 0, "inputs": {"arr": [25, 64, 96], "n": 1, "k": 1}}]
question_info.test_code: import static java.util.Map.entry;  
  import java.util.*;
  import java.lang.*;
  // TESTING CODE 
  // ============================================
  class QuestionEvaluator {
      public static String validateSolution(ArrayList<Integer> arr, Integer n, Integer k, Integer expected){
          try{
              Driver driver = new Driver();
              if (driver.run(arr, n, k,expected)){
                  return "PASSED";
              }
              return "FAILED";
              
          } catch (Exception exception_obj){
              return exception_obj.getClass().getSimpleName();
          }
  
      }
      public static void main(String[] args) {
          String result;
          result = validateSolution(new ArrayList<>(Arrays.asList(48, 53, 67, 78, 78, 93, 95)), 6, 4, 156);
          System.out.println(String.format("%s%s","TEST-0...",result));    
      
          result = validateSolution(new ArrayList<>(Arrays.asList(-70, -32, -2, 18, 30, 32, 52, 70, 72, 88)), 8, 8, 62);
          System.out.println(String.format("%s%s","TEST-1...",result));    
      
          result = validateSolution(new ArrayList<>(Arrays.asList(0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1)), 37, 31, 10);
          System.out.println(String.format("%s%s","TEST-2...",result));    
      
          result = validateSolution(new ArrayList<>(Arrays.asList(2, 3, 5, 5, 6, 10, 12, 13, 13, 16, 23, 23, 34, 36, 39, 40, 42, 45, 45, 47, 51, 51, 52, 56, 57, 58, 60, 60, 60, 60, 61, 63, 67, 68, 71, 73, 75, 80, 80, 82, 84, 86, 86, 86, 86, 89, 90, 98, 99)), 31, 37, 1083);
          System.out.println(String.format("%s%s","TEST-3...",result));    
      
          result = validateSolution(new ArrayList<>(Arrays.asList(-84, -56, 68, 78)), 3, 3, 0);
          System.out.println(String.format("%s%s","TEST-4...",result));    
      
          result = validateSolution(new ArrayList<>(Arrays.asList(0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1)), 14, 9, 5);
          System.out.println(String.format("%s%s","TEST-5...",result));    
      
          result = validateSolution(new ArrayList<>(Arrays.asList(1, 2, 3, 9, 12, 12, 16, 17, 18, 19, 20, 21, 21, 26, 29, 42, 44, 45, 48, 48, 48, 54, 54, 55, 60, 63, 63, 64, 64, 67, 67, 68, 69, 74, 78, 78, 79, 83, 95, 95, 95, 96, 97, 99)), 27, 42, 849);
          System.out.println(String.format("%s%s","TEST-6...",result));    
      
          result = validateSolution(new ArrayList<>(Arrays.asList(-92, -58, -56, -48, -42, -16, -14, 28, 40, 42, 54, 60, 64)), 9, 8, 0);
          System.out.println(String.format("%s%s","TEST-7...",result));    
      
          result = validateSolution(new ArrayList<>(Arrays.asList(0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1)), 21, 19, 9);
          System.out.println(String.format("%s%s","TEST-8...",result));    
      
          result = validateSolution(new ArrayList<>(Arrays.asList(25, 64, 96)), 1, 1, 0);
          System.out.println(String.format("%s%s","TEST-9...",result));    
      
      }
  }
  
  class Driver{
      public boolean run(ArrayList<Integer> arr, Integer n, Integer k, Integer expected){
  
          PLACEHOLDER_CLS_NAME sol = new PLACEHOLDER_CLS_NAME();
          return validateSolution(sol.PLACEHOLDER_FN_NAME(arr, n, k),expected);
      }
      
      public boolean validateSolution(Integer actual, Integer expected){
          return actual.equals(expected);
      }
  }
  
  
  // SOLUTION CODE
  // ============================================
  PLACEHOLDER_CODE_BODY
question_info.test_case_ids: 0 1 2 3 4 5 6 7 8 9
question_info.commands: java __FILENAME__