import std.algorithm;
import std.array;
import std.ascii;
import std.bigint;
import std.complex;
import std.container;
import std.conv;
import std.functional;
import std.math;
import std.range;
import std.stdio;
import std.string;
import std.typecons;

auto readInts() {
	return array(map!(to!int)(readln().strip().split()));
}
auto readInt() {
	return readInts()[0];
}
auto readLongs() {
	return array(map!(to!long)(readln().strip().split()));
}
auto readLong() {
	return readLongs()[0];
}

void readlnTo(T...)(ref T t) {
    auto s = readln().split();
    assert(s.length == t.length);
    foreach(ref ti; t) {
        ti = s[0].to!(typeof(ti));
        s = s[1..$];
    }
}

const real eps = 1e-10;

void main(){
    while(true) {
        auto n = readLong();
        if(n == 0) {
            return;
        }
        long[] t;
        foreach(i; iota(1, n)) {
            t ~= i*i%n;
        }
        auto u = t[].array;
        auto ans = new long[](n.to!uint);
        foreach(i; iota(u.length)) {
            foreach(j; iota(u.length)) {
                if(i == j) {
                    continue;
                }
                auto m = u[i] - u[j];
                if(m < 0) {
                    m += n;
                }
                if(m > (n-1)/2) {
                    m = n-m;
                }
                ++ans[m.to!uint];
            }
        }
        foreach(i; iota(1, (n-1)/2 + 1)) {
            writeln(ans[i.to!uint]);
        }
    }
}