65. Valid Number

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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.

技术图片

class Solution 
    public boolean isNumber(String s) 
    int state = 0; 
    s = s.trim();//去除头尾的空格
    //遍历所有字符,当做输入
    for (int i = 0; i < s.length(); i++) 
        switch (s.charAt(i)) 
             //输入正负号
            case ‘+‘:
            case ‘-‘:
                if (state == 0) 
                    state = 1;
                 else if (state == 4) 
                    state = 6;
                 else 
                    return false;
                
                break;
            //输入数字
            case ‘0‘:
            case ‘1‘:
            case ‘2‘:
            case ‘3‘:
            case ‘4‘:
            case ‘5‘:
            case ‘6‘:
            case ‘7‘:
            case ‘8‘:
            case ‘9‘:
                //根据当前状态去跳转
                switch (state) //这块是state,是integer,不是char
                    case 0:
                    case 1:
                    case 2:
                        state = 2;
                        break;
                    case 3:
                        state = 3;
                        break;
                    case 4:
                    case 5:
                    case 6:
                        state = 5;
                        break;
                    case 7:
                        state = 8;
                        break;
                    case 8:
                        state = 8;
                        break;
                    default:
                        return false;
                
                break;
            //小数点
            case ‘.‘:
                switch (state) 
                    case 0:
                    case 1:
                        state = 7;
                        break;
                    case 2:
                        state = 3;
                        break;
                    default:
                        return false;
                
                break;
            //e
            case ‘e‘:
                switch (state) 
                    case 2:
                    case 3:
                    case 8:
                        state = 4;
                        break;
                    default:
                        return false;
                
                break;
            default:
                return false;

        
    
    //橙色部分的状态代表合法数字
    return state == 2 || state == 3 || state == 5 || state == 8;

 

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