title: Maximum Subsequence Sum Such That No Three Are Consecutive
signature: fun maximumSubsequenceSumSuchThatNoThreeAreConsecutive(arr: ArrayList<Int>, n: Int): Int {
test_code: package main
  
  import kotlin.text.*
  import kotlin.math.*
  
  
  // SOLUTION CODE
  // ===================================
  PLACEHOLDER_CODE_BODY
  
  // TESTING CODE
  // ===================================
  fun validateSolution(actual:Int, expected:Int):Boolean{
    return actual.equals(expected)
  }
  fun driver(arr: ArrayList<Int>, n: Int, expected:Int):String {
      try{
        if (validateSolution(PLACEHOLDER_FN_NAME(arr, n), expected)) {
                return "PASSED"
        }
        return "FAILED"
      } catch (e: Exception){
        return e::class.simpleName as String
      }
  
  }
  
  fun main() {
      var result: String = ""
      result = driver(arrayListOf(5, 6, 8, 9, 10, 10, 16, 17, 17, 20, 21, 22, 23, 28, 29, 32, 36, 37, 40, 41, 42, 43, 47, 47, 48, 48, 49, 49, 52, 52, 53, 59, 61, 64, 65, 79, 79, 81, 87, 91, 92, 98), 35, 832)
      println("TEST-0...${result}")
      
      result = driver(arrayListOf(98, 76, -80, -30, 82, 52, -14, 28, 98, 18, 82, 52, 26, -62, -8), 7, 308)
      println("TEST-1...${result}")
      
      result = driver(arrayListOf(0, 0, 0, 0, 0, 1, 1, 1, 1), 7, 2)
      println("TEST-2...${result}")
      
      result = driver(arrayListOf(21, 26, 85, 73, 47, 10, 54, 9, 11, 70, 42, 95, 44, 91), 12, 419)
      println("TEST-3...${result}")
      
      result = driver(arrayListOf(-94, -92, -90, -84, -76, -68, -60, -50, -34, -34, -20, -16, -6, 18, 50, 54, 66, 70, 96), 9, -182)
      println("TEST-4...${result}")
      
      result = driver(arrayListOf(1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1), 16, 7)
      println("TEST-5...${result}")
      
      result = driver(arrayListOf(2, 3, 4, 4, 14, 14, 18, 21, 24, 26, 29, 31, 32, 34, 36, 37, 38, 40, 42, 44, 44, 54, 63, 69, 77, 77, 82, 82, 86, 87, 90, 93, 95), 31, 895)
      println("TEST-6...${result}")
      
      result = driver(arrayListOf(-46, 64, -44, 88, -74, 54, 40, -2, -24, 94, 40, -44, 56, -54, -60, -86, -58, 48, -90, 12, -76, -30, 94, -34, 14, 12, 80, -40, 60), 22, 450)
      println("TEST-7...${result}")
      
      result = driver(arrayListOf(0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1), 7, 0)
      println("TEST-8...${result}")
      
      result = driver(arrayListOf(4, 32, 63, 23, 44, 57, 59, 69, 88, 61, 66, 61, 65, 33, 79, 58, 71, 2, 80, 41, 83, 12, 20, 9, 7, 40, 36, 97, 10, 98, 66, 78, 71, 37, 53), 26, 895)
      println("TEST-9...${result}")
      
          
  }
  
  main()
source_py: def maximum_subsequence_sum_such_that_no_three_are_consecutive(arr, n):
      sum = [0 for k in range(n)]
      if (n >= 1):
          sum[0] = arr[0]
      if (n >= 2):
          sum[1] = (arr[0] + arr[1])
      if (n > 2):
          sum[2] = max(sum[1], max((arr[1] + arr[2]), (arr[0] + arr[2])))
      for i in range(3, n):
          sum[i] = max(max(sum[(i - 1)], (sum[(i - 2)] + arr[i])), ((arr[i] + arr[(i - 1)]) + sum[(i - 3)]))
      return sum[(n - 1)]
source_cpp: int maximum_subsequence_sum_such_that_no_three_are_consecutive(vector<int> arr, int n) {
    int sum [ n ];
    if ( n >= 1 ) sum [ 0 ] = arr [ 0 ];
    if ( n >= 2 ) sum [ 1 ] = arr [ 0 ] + arr [ 1 ];
    if ( n > 2 ) sum [ 2 ] = max ( sum [ 1 ], max ( arr [ 1 ] + arr [ 2 ], arr [ 0 ] + arr [ 2 ] ) );
    for ( int i = 3;
    i < n;
    i ++ ) sum [ i ] = max ( max ( sum [ i - 1 ], sum [ i - 2 ] + arr [ i ] ), arr [ i ] + arr [ i - 1 ] + sum [ i - 3 ] );
    return sum [ n - 1 ];
  }