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Wednesday, August 17, 2016

constant 9 : Properties of constant or loop value;

Properties of constant or loop value;
If the lowest value is added to the constant or loop value and deduct the highest value from the result, the difference will be less than the lowest value of a constant or loop value.  “A+B-C = 0” for all  constant other than 9. where A = Constant Value , B = Lowest value of ordered elements and C = Highest Value of Ordered elements.
See the table below :
No of DigitsConstant Base Value Constant or Loop value (A) Highest Value (C) Lowest Value ( B )Difference (A+B-C)
11                                                       9                                           9                                           99
211                                                  495                                      954                                      4590
3111                                              6,174                                  7,641                                  1,4670
41,111                                            74,943                                97,443                                34,47911,979
511,111                                        8,60,832                            8,86,320                            2,36,8802,11,392
61,11,111                                      95,29,641                          99,65,421                          12,45,6998,09,919
711,11,111                                  8,65,26,432                      8,66,54,322                      2,23,45,6682,22,17,778
81,11,11,111                                86,30,98,632                    98,86,63,320                      2,33,66,889-10,21,97,799
911,11,11,111                            8,76,52,64,322                8,76,65,43,222                2,22,34,56,6782,22,21,77,778
101,11,11,11,111                          86,42,09,87,532              98,87,65,43,220                2,24,35,67,889-10,21,19,87,799
1111,11,11,11,111                      8,76,53,26,64,322          8,76,66,54,33,222          2,22,33,45,66,6782,22,20,17,97,778
121,11,11,11,11,111                    86,54,31,97,65,432        98,76,65,54,43,321        12,33,44,55,66,78911,10,98,88,900
1311,11,11,11,11,111                8,77,65,32,66,43,222    8,77,66,65,43,32,222        22,22,33,45,66,77822,21,00,68,77,778
141,11,11,11,11,11,111              98,64,33,19,76,65,311  99,87,66,65,43,33,111  11,13,33,45,66,67,8999,90,00,00,00,00,099
912,34,56,789                                86,41,97,532                    98,76,54,321                    12,34,56,7890
245                                                       9                                        54                                        450
In case of Loop value constant,  sum of values within the loop have these properties: See example of 14 digit constant:
  1,11,11,11,11,11,111      98,64,33,19,76,65,311  11,13,33,45,66,67,899      99,87,66,65,43,33,111  88,74,33,19,76,65,212
  1,11,11,11,11,11,111      88,74,33,19,76,65,212  11,22,33,45,66,77,889      98,87,76,65,43,32,211  87,65,43,19,76,54,322
  1,11,11,11,11,11,111      87,65,43,19,76,54,322  12,23,34,45,56,67,789      98,77,66,55,44,33,221  86,54,32,09,87,65,432
  1,11,11,11,11,11,111      86,54,32,09,87,65,432    2,23,34,45,56,67,889      98,87,66,55,44,33,220  96,64,32,09,87,65,331
  1,11,11,11,11,11,111      96,64,32,09,87,65,331    1,23,33,45,66,67,899      99,87,66,65,43,33,210  98,64,33,19,76,65,311
 Sum loop value  4,58,22,73,79,05,15,610  38,05,69,28,13,49,365  4,96,28,43,07,18,64,970                                           –
 Loop value property A B C‘A+B-C=0’