http://www.spoj.pl/problems/MAIN8_D/

i tried solving this problem....
any ideas...??
for second test case 'htht'
the states i considered are
1     T  -  (1/2) * x+1
2     HH - (1/4) * x+2
3     HTT - (1/8) * x+3
4     HTHH - (1/16) * x+4
5     HTHT  - (1/16)    (final state)

x is the expected no of coins.
x= 1 + 2+3+4+5
gives 16x=15x+26
x=26.

answer given is 20...
can any one explain this,

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