s1<s2  & s1<s3
s2<=s1 & s2<s3
s3<=s1 & s3<=s2

int counter = 0;
ArrayList<String> state = new ArrayList<String>();
for (int i=0; i<=n; i++) {
    state.add(i,"s"+1));
}

for (int j=1; j<=n; j++) {

    for (int i=0; i<(n-1); i++) {
        if (i==(n-2)) {
           fw.write(state.get(i)+"<"+state.get(counter));
        }
        else {
           fw.write(state.get(i)+"<"+state.get(counter)+" & ");
        }
    }
    counter++;
}