package com.ossez.numberofdigits;

public class NumberOfDigits {
    public int stringBasedSolution(int number) {
        int length = String.valueOf(number).length();
        return length;
    }
    
    public int logarithmicApproach(int number) {
        int length = (int) Math.log10(number) + 1;
        return length;
    }
    
    public int repeatedMultiplication(int number) {
        int length = 0;
        long temp = 1;
        while(temp <= number) {
            length++;
            temp *= 10;
        }
        return length;
    }

    public int shiftOperators(int number) {
        int length = 0;
        long temp = 1;
        while(temp <= number) {
            length++;
            temp = (temp << 3) + (temp << 1);
        }
        return length;
    }
    
    public int dividingWithPowersOf2(int number) {
        int length = 1;
        if (number >= 100000000) {
            length += 8;
            number /= 100000000;
        }
        if (number >= 10000) {
            length += 4;
            number /= 10000;
        }
        if (number >= 100) {
            length += 2;
            number /= 100;
        }
        if (number >= 10) {
            length += 1;
        }
        return length;
    }
    
    public int divideAndConquer(int number) {
        if (number < 100000){
            // 5 digits or less
            if (number < 100){
                // 1 or 2
                if (number < 10)
                    return 1;
                else
                    return 2;
            }else{
                // 3 to 5 digits
                if (number < 1000)
                    return 3;
                else{
                    // 4 or 5 digits
                    if (number < 10000)
                        return 4;
                    else
                        return 5;
                }
            }
        } else {
            // 6 digits or more
            if (number < 10000000) {
                // 6 or 7 digits
                if (number < 1000000)
                    return 6;
                else
                    return 7;
            } else {
                // 8 to 10 digits
                if (number < 100000000)
                    return 8;
                else {
                    // 9 or 10 digits
                    if (number < 1000000000)
                        return 9;
                    else
                        return 10;
                }
            }
        }
    }
}