181. X-Sequence

time limit per test: 0.25 sec.
memory limit per test: 4096 KB
input: standard
output: standard



Let {xi} be the infinite sequence of integers:
1) x0 = A;
2) xi = (alpha * xi-1^2 + beta * xi-1 + gamma) mod M, for i >= 1.
Your task is to find xk if you know A, alpha, beta, gamma, M and k.

Input
Given A (1 <= A <= 10000), alpha (0 <= alpha <= 100), beta (0 <= beta <= 100), gamma (0 <= gamma <= 100), M (1 <= M <= 1000), k (0 <= k <= 10^9). All numbers are integer.

Output
Write xk.

Sample test(s)

Input
1 1 1 1 10 1

Output
3
[submit]
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Author:Michael R. Mirzayanov
Resource:Saratov ST team Spring Contest #1
Date:18.05.2003











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