Problem 5: Jackpot Problem

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Problem

By starting at the top of the triangle below and moving to adjacent numbers on the row below ( either just below or right down) the minimum total from top to bottom is 16.

3

1 4

2 4 6

88 55 9 3

3 in 1st row can be added with 1 and 4 both(3+1 or 3+4) That is, 3 + 4+ 6+ 3= 16.

Print the minimum total from top to bottom of the triangle below:

75

95 64

17 47 82

18 35 87 10

20 04 82 47 65

19 01 23 75 03 34

88 02 77 73 07 63 67

99 65 04 28 06 16 70 92

41 41 26 56 83 40 80 70 33

41 48 72 33 47 32 37 16 94 29

53 71 44 65 25 43 91 52 97 51 14

70 11 33 28 77 73 17 78 39 68 17 57

91 71 52 38 17 14 91 43 58 50 27 29 48

63 66 04 68 89 53 67 30 73 16 69 87 40 31

04 62 98 27 23 09 70 98 73 93 38 53 60 04 23

Time Limit: 10
Memory Limit: 256
Source Limit:
Explanation

You can use the following array for performing the required operation.

[[75],[95 ,64],[17 ,47, 82],[18, 35, 87 ,10],[20, 04 ,82, 47, 65],[19 ,01, 23, 75, 03 ,34],[88, 02 ,77 ,73, 07, 63 ,67],[99 ,65, 04, 28 ,06, 16, 70, 92],[41, 41 ,26 ,56, 83, 40, 80, 70 ,33],[41 ,48 ,72 ,33 ,47 ,32, 37, 16, 94, 29],[53, 71 ,44, 65, 25 ,43, 91, 52 ,97, 51, 14],[70 ,11, 33, 28, 77, 73, 17, 78, 39, 68, 17, 57],[91, 71, 52, 38, 17, 14, 91, 43, 58, 50, 27, 29, 48],[63, 66 ,4, 68, 89 ,53, 67 ,30 ,73, 16, 69 ,87 ,40 ,31],[4 ,62 ,98 ,27 ,23, 9, 70 ,98, 73 ,93 ,38, 53 ,60 ,4 ,23]]

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