Fast Power - Lintcode Java | Welkin Lan


Fast Power – Lintcode Java | Welkin Lan
http://www.jiuzhang.com/solutions/fast-power/
Calculate the an % b where a, b and n are all 32bit integers inO(logn).
Math problem, have to know the equivalences of modulo %
  • (a+b)\,\bmod\,n = ((a\,\bmod\,n)+(b\,\bmod\,n))\,\bmod\,n
  • ab\,\bmod\,n = ((a\,\bmod\,n)\,(b\,\bmod\,n))\,\bmod\,n\
  • (a\,\bmod\,n)\,\bmod\,n = a\,\bmod\,n
    public int fastPower(int a, int b, int n) {
        // write your code here
        if (n == 1) {
            return a % b;
        }
        if (n == 0) {
            return 1 % b;
        }
        long half = fastPower(a, b, n / 2);
        long result = (half * half) % b;
        if (n % 2 == 1) {
            result = (result * a) % b;
        }
        return (int) result;
    }
http://codingforspeed.com/using-faster-integer-power-in-java/
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