Question Definition
Your task is to calculate ab mod 1337 where a is a positive integer and b is an extremely large positive integer given in the form of an array.
Example1:
a = 2
b = [3]
Result: 8
Example2:
a = 2
b = [1,0]
Result: 1024
Java Solution
public int superPow(int a, int[] b) {
int res = 1;
for (int i = 0; i < b.length; ++i) {
res = pow(res, 10) * pow(a, b[i]) % 1337;
}
return res;
}
private int pow(int x, int n) {
if (n == 0) return 1;
if (n == 1) return x % 1337;
return pow(x % 1337, n / 2) * pow(x % 1337, n - n / 2) % 1337;
}
Comments