title: Lcs Formed Consecutive Segments Least Length K
signature: function lcs_formed_consecutive_segments_least_length_k(k, s1, s2)
source_py: def lcs_formed_consecutive_segments_least_length_k(k, s1, s2):
      n = len(s1)
      m = len(s2)
      lcs = [[0 for x in range((m + 1))] for y in range((n + 1))]
      cnt = [[0 for x in range((m + 1))] for y in range((n + 1))]
      for i in range(1, (n + 1)):
          for j in range(1, (m + 1)):
              lcs[i][j] = max(lcs[(i - 1)][j], lcs[i][(j - 1)])
              if (s1[(i - 1)] == s2[(j - 1)]):
                  cnt[i][j] = (cnt[(i - 1)][(j - 1)] + 1)
              if (cnt[i][j] >= k):
                  for a in range(k, (cnt[i][j] + 1)):
                      lcs[i][j] = max(lcs[i][j], (lcs[(i - a)][(j - a)] + a))
      return lcs[n][m]
source_cpp: int lcs_formed_consecutive_segments_least_length_k(int k, string s1, string s2) {
    int n = s1 . length ( );
    int m = s2 . length ( );
    int lcs [ n + 1 ] [ m + 1 ];
    int cnt [ n + 1 ] [ m + 1 ];
    memset ( lcs, 0, sizeof ( lcs ) );
    memset ( cnt, 0, sizeof ( cnt ) );
    for ( int i = 1;
    i <= n;
    i ++ ) {
      for ( int j = 1;
      j <= m;
      j ++ ) {
        lcs [ i ] [ j ] = max ( lcs [ i - 1 ] [ j ], lcs [ i ] [ j - 1 ] );
        if ( s1 [ i - 1 ] == s2 [ j - 1 ] ) cnt [ i ] [ j ] = cnt [ i - 1 ] [ j - 1 ] + 1;
        if ( cnt [ i ] [ j ] >= k ) {
          for ( int a = k;
          a <= cnt [ i ] [ j ];
          a ++ ) lcs [ i ] [ j ] = max ( lcs [ i ] [ j ], lcs [ i - a ] [ j - a ] + a );
        }
      }
    }
    return lcs [ n ] [ m ];
  }
question_info.entry_fn_name: lcs_formed_consecutive_segments_least_length_k
question_info.entry_cls_name: Solution
question_info.test_case_ids: ['0', '1', '2', '3', '4', '5', '6', '7', '8', '9']
question_info.test_code: 
  
  -- SOLUTION CODE
  -- ============================================
  PLACEHOLDER_CODE_BODY
  
  -- TESTING CODE 
  -- ============================================
  function isCorrect(actual, expected)
      if type(expected) ~= type(actual) then
          return false
      end
      
      if type(expected) == 'table' then
          for k,v_expected in pairs(expected) do
              
              if actual[k] == nil then
                  return false
              end
              local v_actual = actual[k]
              if not isCorrect(v_actual, v_expected) then
                  return false
              end
              actual[k]=nil
          end
      
          if next(actual) then 
              return false
          end
          return true
      else
          return actual == expected
      end
  end
  
  function validateSolution(actual, expected)
      return isCorrect(actual,expected)
  end
  
  function driver(k, s1, s2, expected)
      local exec_result;
      local status, error_msg = pcall(function () 
          exec_result=PLACEHOLDER_FN_NAME(k, s1, s2) 
      end)
      if status then
          if validateSolution(exec_result,expected) then
              return "PASSED"
          end
          return "FAILED"
      else
          return string.format("ERROR=%s",string.gsub(error_msg,".*:[%d]+: ",""))
      end
  end
      
  function main()
      result = driver(4, "aggayxysdfa", "aggajxaaasdfa", 8)
      print(string.format("TEST-0...%s",result))
  
      result = driver(2, "55571659965107", "390286654154", 2)
      print(string.format("TEST-1...%s",result))
  
      result = driver(3, "01011011100", "0000110001000", 7)
      print(string.format("TEST-2...%s",result))
  
      result = driver(5, "aggasdfa", "aggajasdfaxy", 5)
      print(string.format("TEST-3...%s",result))
  
      result = driver(2, "5710246551", "79032504084062", 0)
      print(string.format("TEST-4...%s",result))
  
      result = driver(3, "0100010", "10100000", 5)
      print(string.format("TEST-5...%s",result))
  
      result = driver(3, "aabcaaaa", "baaabcd", 4)
      print(string.format("TEST-6...%s",result))
  
      result = driver(1, "1219", "3337119582", 3)
      print(string.format("TEST-7...%s",result))
  
      result = driver(2, "111000011", "011", 3)
      print(string.format("TEST-8...%s",result))
  
      result = driver(2, "wiC oD", "csiuGOUwE", 0)
      print(string.format("TEST-9...%s",result))
  
  end
  
  main()
question_info.test_list: [{"idx": 0, "outputs": 8, "inputs": {"k": 4, "s1": "aggayxysdfa", "s2": "aggajxaaasdfa"}}, {"idx": 1, "outputs": 2, "inputs": {"k": 2, "s1": "55571659965107", "s2": "390286654154"}}, {"idx": 2, "outputs": 7, "inputs": {"k": 3, "s1": "01011011100", "s2": "0000110001000"}}, {"idx": 3, "outputs": 5, "inputs": {"k": 5, "s1": "aggasdfa", "s2": "aggajasdfaxy"}}, {"idx": 4, "outputs": 0, "inputs": {"k": 2, "s1": "5710246551", "s2": "79032504084062"}}, {"idx": 5, "outputs": 5, "inputs": {"k": 3, "s1": "0100010", "s2": "10100000"}}, {"idx": 6, "outputs": 4, "inputs": {"k": 3, "s1": "aabcaaaa", "s2": "baaabcd"}}, {"idx": 7, "outputs": 3, "inputs": {"k": 1, "s1": "1219", "s2": "3337119582"}}, {"idx": 8, "outputs": 3, "inputs": {"k": 2, "s1": "111000011", "s2": "011"}}, {"idx": 9, "outputs": 0, "inputs": {"k": 2, "s1": "wiC oD", "s2": "csiuGOUwE"}}]