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Decode Ways II.cpp
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class Solution {
public:
int numDecodings(string s) {
int n=s.size();
if(s[0]=='0')
{
return 0;
}
for(int i=0;i<n-1;++i)
{
if(s[i]==s[i+1]&&s[i]=='0')
{
return 0;
}
}
long long dp[n][2],mod=1e9+7;
//dp[i][0]-no of ways such that 0...i has been mapped with ith digit is mapped alone
//dp[i][1]-no of ways such that 0...i has been mapped with ith digit is mapped with previous digit
dp[0][0]=(s[0]=='*'?9:1);
dp[0][1]=0;
for(int i=1;i<n;++i)
{
if(s[i]!='0')
{
if(s[i]=='*')
{
long long m=9;
dp[i][0]=((m%mod)*((dp[i-1][0]+dp[i-1][1])%mod))%mod;
}
else
{
dp[i][0]=(dp[i-1][0]+dp[i-1][1])%mod;
}
}
else
{
dp[i][0]=0;
}
if(s[i-1]=='0')
{
dp[i][1]=0;
}
else
{
if(s[i-1]=='*'||s[i]=='*')
{
long long m=1;
if(s[i-1]=='*'&&s[i]=='*')
{
m=15;
}
else if(s[i-1]=='*')
{
int u=s[i]-'0';
if(u>6)
{
m=1;
}
else
{
m=2;
}
}
else
{
int v=s[i-1]-'0';
if(v>2)m=0;
else
{
if(v==1)m=9;
else m=6;
}
}
if(i-2>=0)dp[i][1]=((m%mod)*((dp[i-2][0]+dp[i-2][1])%mod))%mod;
else dp[i][1]=m;
}
else
{
int v=(s[i-1]-'0')*10+(s[i]-'0');
if(v>=1&&v<=26)
{
if(i-2>=0)dp[i][1]=(dp[i-2][0]+dp[i-2][1])%mod;
else dp[i][1]=1;
}
else
{
dp[i][1]=0;
}
}
}
}
return (dp[n-1][0]+dp[n-1][1])%mod;
}
};