# Leetcode Decode Ways problem solution

In this Leetcode Decode Ways problem solution A message containing letters from A-Z can be encoded into numbers using the following mapping:

'A' -> "1"

'B' -> "2"

...

'Z' -> "26"

To decode an encoded message, all the digits must be grouped then mapped back into letters using the reverse of the mapping above (there may be multiple ways). For example, "11106" can be mapped into:

"AAJF" with the grouping (1 1 10 6)

"KJF" with the grouping (11 10 6)

Note that the grouping (1 11 06) is invalid because "06" cannot be mapped into 'F' since "6" is different from "06". Given a string s containing only digits, return the number of ways to decode it. The answer is guaranteed to fit in a 32-bit integer.

## Problem solution in Python.

```class Solution:
def numDecodings(self, s: str) -> int:
dic = {str(i):0 for i in range(100)}
for i in range(11,27):
dic[str(i)] = 1
for i in range(1,10):
dic[str(i)] = 1
dic["0"+str(i)] = 0
dic[str(i)+"0"] = 0
dic["00"],dic["10"],dic["20"] = 0,1,1
if len(s) == 1:
return dic[s]
dp = [0]*len(s)
dp[0] = dic[s[0]]
dp[1] = dic[s[:2]]+dic[s[0]]*dic[s[1]]
for k in range(2,len(s)):
dp[k] = dp[k-1]*dic[s[k]]+dp[k-2]*dic[s[k-1:k+1]]
return dp[-1]
```

## Problem solution in Java.

```class Solution {
public int numDecodings(String s) {
int l = s.length();
int[] dp = new int[l];
if(s.charAt(l-1)=='0')
dp[l-1]=0;
else
dp[l-1]=1;
for(int i=l-2;i>=0;i--){
int a=s.charAt(i)-'0';
int b=s.charAt(i+1)-'0';
if(a==0){
dp[i]=0;
continue;
}
if(a==0 || a>=3 && b==0){
return 0;
}else if(a>=3 || (a==2 && b>6)){
dp[i]=dp[i+1];
}else if(b==0){
dp[i]=(i+2<l?dp[i+2]:1);
}else{
dp[i]=dp[i+1]+(i+2<l?dp[i+2]:1);
}

}
return dp[0];
}
}
```

## Problem solution in C++.

```class Solution {
public:
int numDecodings(string s)
{
int count = 0;
queue<int> q;
q.push(0);
int d = 0;
while (!q.empty())
{
int d = 0;
int i = q.front();
q.pop();
for (; i<s.length(); i++)
{
d *= 10;
d += s[i] -'0';
if (d > 0 &&  d < 27)
{
if (i+1 == s.length())
{
count++;
}
else
q.push(i+1);
}
else
break;
}

}
return count;

}
};
```

## Problem solution in C.

```int numDecodings(char* s) {
int len = strlen(s);
int* map = (int*)calloc(len + 1, sizeof(int));
map[len] = 1;
int i = len - 1;
while (i >= 0)
{
if (s[i] == '0') map[i] = 0;
else if (i == len - 1) map[i] = 1;
else if (s[i] == '1' || (s[i] == '2'&&s[i + 1] <= '6')) map[i] = map[i + 1] + map[i + 2];
else  map[i] = map[i + 1];
i--;
}
return map[0];
}
```