SP10966 AGS - Aritho-geometric Series (AGS)

Arithmatic and geometric Progressions are 2 of the well known progressions in maths. Arithmatic progression(AP) is a set in which the difference between 2 numbers in constant. for eg, 1,3,5,7,9 .... In this series the difference between 2 numbers is 2. Geometric progression(GP) is a set in which the ratio of 2 consecutive numbers is same. for eg, 1,2,4,8,16.... In this the ratio of the numbers is 2. ..... What if there is a series in which we multiply a(n) by 'r' to get a(n+1) and then add 'd' to a(n+1) to get a(n+2)... For eg .. lets say d=1 and r=2 and a(1) = 1.. series would be 1,2,4,5,10,11,22,23,46,47,94,95,190 ...... We add d to a(1) and then multiply a(2) with r and so on .... Your task is, given 'a' , 'd' & 'r' to find the a(n) term . sicne the numbers can be very large , you are required to print the numbers modulo 'mod' - mod will be supplied int the test case.

first line of input will have number 't' indicating the number of test cases. each of the test cases will have 2 lines firts line will have 3 numbers 'a' ,'d' and 'r' 2nd line will have 2 numbers 'n' & 'mod' a- first term of the AGS d-the difference element r - the ratio element n- nth term required to be found mod- need to print the result modulo mod

For each test case print "a(n)%mod" in a separate line.