$n=<>;
@a=<>;
hoge:for$i(0..$n-1){
	for$j(0..$n-1){
		$a[$j]!=($i+$j)%$n or next hoge;
	}
	for$j(0..$n-1){
		print+($i+$j)%$n,$/;
	}
	exit;
}
print -1;