You will be given a square matrix of N rows
and N columns (1 <= N<= 1000) containing
positive and negative integers with absolute
value not larger than 1000. You are required
to compute the greatest sum achievable by
walking a path, starting at any cell of the
matrix and always moving downwards or
rightwards. Additionally, you have to report
the number of times that value is achievable.
N will be in the first line of the input. N lines
follow with N integers each. You should
output a single line with two integers
separated by a single blank space: first one is
the greatest sum, second one is the number
of times this value can be reached.
Case 1:
For the input provided as follows:
5
31-211
-6-1 4-1-4
11111
22222
11111
output of the program will be:
15 1
case2:
for the input provided as follows:
3
1 1 1
2 2 2
3 3 3
output of the program will be :
12 1
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