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decode.cpp
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45 lines (40 loc) · 1.03 KB
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#include <iostream>
#include <cstring>
using namespace std;
// A Dynamic Programming based function to count decodings
int countDecodingDP(char *digits, int n)
{
int count[101]; // A table to store results of subproble
count[0] = 1;
if (digits[0] >='1' && digits[0] <= '9')
count[1] = 1;
else return 0;
for (int i = 2; i <= n; i++)
{
if (digits[i - 1] >='1' && digits[i - 1] <= '9')
{
if ((digits[i-2] == '1' && digits[i-1] >='0' && digits[i-1] <= '9')
|| digits[i-2] == '2' && digits[i-1] >='0' && digits[i-1] <= '6')
count[i] = count[i -1] + count[i-2];
else
count[i] = count[i-1];
}
else
{
if ((digits[i-2] == '1' && digits[i-1] >='0' && digits[i-1] <= '9')
|| digits[i-2] == '2' && digits[i-1] >='0' && digits[i-1] <= '6')
count[i] = count[i-2];
else
return 0;
}
}
return count[n];
}
// Driver program to test above function
int main()
{
char digits[] = "109";
int n = strlen(digits);
cout << "Count is " << countDecodingDP(digits, n);
return 0;
}