Decode Message - Amazon Top Interview Questions


Problem Statement :


Given the mapping "a" = 1, "b" = 2, ... "z" = 26, and an encoded message message (as a string), count the number of ways it can be decoded.

Constraints

n ≤ 100,000 where n is the length of message


Example 1

Input

message = "111"

Output

3

Explanation

This can be decoded 3 ways: aaa, ak, and ka.

Example 2

Input

message = "8"

Output

1

Explanation

This can be only decoded one way, as h.


Example 3

Input

message = "12"

Output

2

Explanation

This can be decoded 2 ways: ab or l.


Example 4

Input

message = "60"

Output

0

Explanation

There's no way to decode this message.


Example 5

Input

message = "0012"

Output

0



Solution :



title-img




                        Solution in C++ :

int solve(string s) {
    int n = s.size();
    long int dp[n + 1];
    memset(dp, 0, sizeof(dp));
    if (s[0] != '0') dp[1] = 1;
    dp[0] = 1;
    for (int i = 2; i <= n; i++) {
        if (s[i - 1] > '0') dp[i] = dp[i - 1];
        if (s[i - 2] == '1' || (s[i - 2] == '2' && s[i - 1] <= '6')) dp[i] += dp[i - 2];
    }
    return dp[n];
}
                    




                        Solution in Python : 
                            
class Solution:
    def solve(self, message):
        if not message:
            return 0
        dp = [0 for x in range(len(message) + 1)]

        dp[0] = 1
        dp[1] = 0 if message[0] == "0" else 1

        for i in range(2, len(message) + 1):
            if 0 < int(message[i - 1 : i]) <= 9:
                dp[i] += dp[i - 1]
            if 10 <= int(message[i - 2 : i]) <= 26:
                dp[i] += dp[i - 2]
        return dp[len(message)]
                    


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