Problem Description - http://www.spoj.com/problems/ACODE/
Approach :
1) Initialize an Array of Size N with 0 and element 0 as 1
2) Loop through all the elements
3) If it is a valid single digit number, Copy the previous element's value to the current element (DP[i] = DP[i-1])
4) If it is a valid two digit number, Add the previous to previous element's value to the current element (DP[i] += DP[i-2])
In one line : DP[i] = DP[i-1] {if valid single digit number} + DP[i-2] {if current and previous elements make a valid two digit number}
Solution:
# include <cstdio>
# include <cstring>
char Input[5001] = "";
unsigned long long DP[5001];
int main()
{
freopen ("Input.txt", "r", stdin);
freopen ("Scratch.txt", "w", stdout);
scanf ("%s", Input);
while (strcmp(Input, "0"))
{
int Len = strlen (Input), Index = 1;
memset (DP, 0, sizeof DP);
DP[0] = 1;
while (Index < Len)
{
int temp = 0;
temp = (Input[Index-1]-'0') * 10;
temp += (Input[Index] -'0');
if (Input[Index]-'0') DP[Index] = DP[Index-1];
if (temp <= 26 && temp > 9) DP[Index] += DP[Index-2 < 0?0:Index-2];
//printf ("%d\t%llu\n",Index, DP[Index]);
Index++;
}
//printf ("%llu\t%s\n", DP[Len-1], Input);
printf ("%llu\n", DP[Len-1]);
scanf ("%s", Input);
}
}
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