Thursday, February 19, 2015

LeetCode [65] Valid Number

Validate if a given string can be interpreted as a decimal number.
Some examples:
"0" => true
" 0.1 " => true
"abc" => false
"1 a" => false
"2e10" => true
" -90e3   " => true
" 1e" => false
"e3" => false
" 6e-1" => true
" 99e2.5 " => false
"53.5e93" => true
" --6 " => false
"-+3" => false
"95a54e53" => false
Note: It is intended for the problem statement to be ambiguous. You should gather all requirements up front before implementing one. However, here is a list of characters that can be in a valid decimal number:
  • Numbers 0-9
  • Exponent - "e"
  • Positive/negative sign - "+"/"-"
  • Decimal point - "."
Of course, the context of these characters also matters in the input.
Update (2015-02-10):
The signature of the C++ function had been updated. If you still see your function signature accepts a const char * argument, please click the reload button to reset your code definition.


  • method1: a number can be  "-----(+/-)dddd.dddde(+/-)dddd-----"  ('-' denotes space, 'd' denotes digit)
    • those characters must appear in order, if they exist
    • if 'e' exists, there must exist digits before and after 'e'
    • there must exist at least one digit
    • there cannot exist other characters

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class Solution {
public:
    bool isNumber(string s) {
        bool hasdot = false, hasdigitbeforedot = false, hasdigitafterdot = false;
        bool hase = false, hasdigitaftere = false;
        int n = s.size(), i = 0;
        
        //beginning space
        while(i<n && s[i]==' ') i++;
        
        //sign of number
        if(i<n && (s[i]=='+'||s[i]=='-')) i++;
        
        //digit before dot
        while(i<n && isdigit(s[i])){i++; hasdigitbeforedot = true;} 
        
        //dot
        if(i<n && s[i]=='.'){
            i++; 
            hasdot = true;
            //digit after dot
            while(i<n && isdigit(s[i])){i++; hasdigitafterdot = true;} 
        }
        
        //exp
        if(i<n && s[i]=='e'){
            hase = true;
            i++;
            //sign of exp
            if(i<n && (s[i]=='+'||s[i]=='-')) i++;
            //digit after e
            while(i<n && isdigit(s[i])){i++; hasdigitaftere = true;} 
            if(!hasdigitaftere) return false;
        }  
        
        //ending space
        while(i<n && s[i]==' ') i++;
        
        return (i==n && (hasdigitbeforedot||hasdigitafterdot));
    }
};

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