Let Sn be an integer sequence produced with the following pseudo-random number generator:
S0 | = | 290797 |
Sn+1 | = | Sn2 mod 50515093 |
Let A(i, j) be the minimum of the numbers Si, Si+1, ... , Sj for i j.
Let M(N) = ΣA(i, j) for 1 i
j
N.
We can verify that M(10) = 432256955 and M(10 000) = 3264567774119.
Find M(2 000 000 000).
These problems are part of Project Euler and are licensed under CC BY-NC-SA 2.0 UK