template Multiplier(n) {
signal private input a;
signal private input b;
signal output c;
signal int[n];
int[0] <== a*a + b;
for (var i=1; i<n; i++) {
int[i] <== int[i-1]*int[i-1] + b;
}
c <== int[n-1];
component main = Multiplier(1000);