solve_mat2.py

import struct

s = "W"
x = 0xDEADBEEF
for n in 0x0FF6FEAFE, 0x0CDAF4DB6, 0x8D9A9B17, 0x83A147A7, 0x7AD24DCA, 0x0C99CA1B9, 0x71CEAC15, 0x932C2931:
    x ^= n
    s += struct.pack("<I", x)
    x = n
    
s2 = "W"
prev = ord(s[0])
for c in s[1:]:
    c = ord(c)
    if prev & 1 == 0:
        s2 += chr((c - prev) & 0xff)
    else:
        s2 += chr((c + prev) & 0xff)
    prev = c
    
print repr(s2)