ACODE - Alphacode

Alice and Bob need to send secret messages to each other and are discussing ways to encode their messages:

Alice: “Let’s just use a very simple code: We’ll assign ‘A’ the code word 1, ‘B’ will be 2, and so on down to ‘Z’ being assigned 26.”

Bob: “That’s a stupid code, Alice. Suppose I send you the word ‘BEAN’ encoded as 25114. You could decode that in many different ways!”

Alice: “Sure you could, but what words would you get? Other than ‘BEAN’, you’d get ‘BEAAD’, ‘YAAD’, ‘YAN’, ‘YKD’ and ‘BEKD’. I think you would be able to figure out the correct decoding. And why would you send me the word ‘BEAN’ anyway?”

Bob: “OK, maybe that’s a bad example, but I bet you that if you got a string of length 5000 there would be tons of different decodings and with that many you would find at least two different ones that would make sense.”

Alice: “How many different decodings?”

Bob: “Jillions!”

For some reason, Alice is still unconvinced by Bob’s argument, so she requires a program that will determine how many decodings there can be for a given string using her code.

Input

Input will consist of multiple input sets. Each set will consist of a single line of at most 5000 digits representing a valid encryption (for example, no line will begin with a 0). There will be no spaces between the digits. An input line of ‘0’ will terminate the input and should not be processed.

Output

For each input set, output the number of possible decodings for the input string. All answers will be within the range of a 64 bit signed integer.

Example

Input:
25114
1111111111
3333333333
0

Output:
6
89
1

Added by:Adrian Kuegel
Date:2005-07-09
Time limit:0.5s
Source limit:50000B
Memory limit:1536MB
Cluster: Cube (Intel G860)
Languages:All
Resource:ACM East Central North America Regional Programming Contest 2004

hide comments
2017-07-05 12:59:02
Same code in c and c++ got AC in c and WA in c++.

Last edit: 2017-07-05 16:32:36
2017-06-19 08:12:04
can there be '0' in a valid input string ? The question says that character A has value 1....So '0' should not be there ?
2017-06-19 01:31:32
Easy question in terms of dp, difficult in terms of cases:
these examples will help a lot :)
226210 -> 3
301 -> 0
50 -> 0
1020 -> 1
2002-> 0
201 -> 1
3020 -> 0
2017-06-11 12:01:28
Does anyone have an analytical explanation for the Fibonacci type solution?
I got the intuition by looking at self-created examples. Thank you.
2017-06-08 05:22:46
My code passed all the test cases mentioned in comments but I am getting 'Time limit exceeded' error.
2017-06-07 22:11:07
for cases like :
1111 ->5
11111->8
111111->13
111......(10 digits)->89
can anyone explain me how the counting is going on or is it simply a fibonacci ??
PS: got AC assuming it a fibonacci series ;)



Last edit: 2017-06-07 22:11:42
2017-06-07 11:32:41
@jasmeet
226210
can be
2-2-6-2-10
22-6-2-10
2-26-2-10
2017-06-02 08:23:27 jasmeet
can anyone explain how is 226210-> 3?

Last edit: 2017-06-02 08:23:44
2017-05-31 15:28:04
Here are some testcases if someone is still getting wrong answer(My solution is O(n)) :-
123456789=3
987654321=2
1234567890=0
123454321=6
543212345=5
123123123=27
Good Luck

2017-05-19 17:47:16
Nice problem!
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