Beginner
1. Consecutive Prime Sum2. Alpha Numeric Sorting3. Longest Progressive Sequence4. Divine Divisor5. Forest Fire6. Minimum Distance7. Saving for a rainy day8. Online Communities Even Groups9. Coin Distribution10. Bank Compare11. Counting Rock Samples12. Collecting Candies13. Game Of Primes14. Kth Largest Factor15. Jumble With Numbers16. Philand Coins17. Reverse Gear18. String Rotation19. The Vita Sum20. Mountain Peak Sequence21. LAZY STUDENT22. LOGIC PYRAMID23. Super ASCII String Checker24. Min Product Array25. String Of Brackets26. Exchange Of Digits27. Marathon Winner28. Common Steps29. Swayamvar30. Digit Pairs31. Dole Out Cadbury32. Petrol Pump33. Grooving Monkeys34. Death BattleLOGIC PYRAMID
LEVEL:Beginner
Description
Identify the logic behind the series
6 28 66 120 190 276....
The numbers in the series should be used to create a Pyramid. The base of the Pyramid will be the widest and will start converging towards the top where there will only be one element. Each successive layer will have one number less than that on the layer below it. The width of the Pyramid is specified by an input parameter N. In other words there will be N numbers on the bottom layer of the pyramid.
The Pyramid construction rules are as follows
1. First number in the series should be at the top of the Pyramid
2. Last N number of the series should be on the bottom-most layer of the Pyramid, with Nth number being the right-most number of this layer.
3. Numbers less than 5-digits must be padded with zeroes to maintain the sanctity of a Pyramid when printed. Have a look at the examples below to get a pictorial understanding of what this rule actually means.
Input Format
First line of input will contain number N that corresponds to the width of the bottom-most layer of the Pyramid
Constraints:
0 < N <= 14
Output Format
The Pyramid constructed out of numbers in the series as per stated construction rules
2
00006 00028 00066
3
00006 00028 00066 00120 00190 00276
1
00006
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Approach
The logic behind the series generation is, the initial series value is 6, and the subseries value is 6, for the next series value, add 16 to subseries value and then add the subseries to the series value, continue this value til the nth count.
Note :
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