The GCD table G of size n × n for an array of positive integers a of length n is defined by formula 

<image>

Let us remind you that the greatest common divisor (GCD) of two positive integers x and y is the greatest integer that is divisor of both x and y, it is denoted as <image>. For example, for array a = {4, 3, 6, 2} of length 4 the GCD table will look as follows:

<image>

Given all the numbers of the GCD table G, restore array a.

Input

The first line contains number n (1 ≤ n ≤ 500) — the length of array a. The second line contains n2 space-separated numbers — the elements of the GCD table of G for array a. 

All the numbers in the table are positive integers, not exceeding 109. Note that the elements are given in an arbitrary order. It is guaranteed that the set of the input data corresponds to some array a.

Output

In the single line print n positive integers — the elements of array a. If there are multiple possible solutions, you are allowed to print any of them.

Examples

Input

4
2 1 2 3 4 3 2 6 1 1 2 2 1 2 3 2


Output

4 3 6 2

Input

1
42


Output

42 

Input

2
1 1 1 1


Output

1 1 
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/* 0 */
/***/ function(module, exports, __webpack_require__) {

	var Prelude_1 = __webpack_require__(1);
	var List = __webpack_require__(2);
	readline();
	var a = List.map(parseInt, readline().split(' '));
	a.sort(function (a, b) { return b - a; });
	var used = {};
	var r = [];
	for (var i = 0; i < a.length && r.length * r.length < a.length; i++) {
	    var k = used[a[i]];
	    if (k > 0) {
	        used[a[i]] -= 1;
	        continue;
	    }
	    r.push(a[i]);
	    for (var j = 0; j < r.length; j++) {
	        var x = Prelude_1.gcd(r[j], a[i]);
	        used[x] = used[x] || 0;
	        used[x] += (j < r.length) ? 2 : 1;
	    }
	}
	print(r.join(" "));


/***/ },
/* 1 */
/***/ function(module, exports) {

	function min(a, b) {
	    return a < b ? a : b;
	}
	exports.min = min;
	function max(a, b) {
	    return a < b ? b : a;
	}
	exports.max = max;
	function curry(f) {
	    return function (x) { return function (y) { return f(x, y); }; };
	}
	exports.curry = curry;
	function uncurry(f) {
	    return function (x, y) { return f(x)(y); };
	}
	exports.uncurry = uncurry;
	function id(x) {
	    return x;
	}
	exports.id = id;
	function constant(x) {
	    return function (_) { return x; };
	}
	exports.constant = constant;
	function flip(f) {
	    return function (y) { return function (x) { return f(x)(y); }; };
	}
	exports.flip = flip;
	function flip2(f) {
	    return function (y, x) { return f(x, y); };
	}
	exports.flip2 = flip2;
	function compose(g, f) {
	    return function (x) { return g(f(x)); };
	}
	exports.compose = compose;
	function gcd(a, b) {
	    var r = a % b;
	    while (r !== 0) {
	        a = b;
	        b = r;
	        r = a % b;
	    }
	    return b;
	}
	exports.gcd = gcd;


/***/ },
/* 2 */
/***/ function(module, exports, __webpack_require__) {

	var Prelude_1 = __webpack_require__(1);
	function add(xs, ys) {
	    return xs.concat(ys);
	}
	exports.add = add;
	function head(xs) {
	    return xs[0];
	}
	exports.head = head;
	function last(xs) {
	    return xs[xs.length - 1];
	}
	exports.last = last;
	function tail(xs) {
	    return xs.slice(1);
	}
	exports.tail = tail;
	function init(xs) {
	    return xs.slice(0, xs.length - 1);
	}
	exports.init = init;
	function map(f, xs) {
	    var result = new Array(xs.length);
	    for (var i = 0; i < xs.length; i++) {
	        result[i] = f(xs[i]);
	    }
	    return result;
	}
	exports.map = map;
	function reverse(xs) {
	    return xs.slice().reverse();
	}
	exports.reverse = reverse;
	function intersperse(x, xs) {
	    if (xs.length == 0) {
	        return [];
	    }
	    var result = new Array(xs.length + xs.length - 1);
	    for (var i = 0; i + 1 < xs.length; i++) {
	        result[i + i] = xs[i];
	        result[i + i + 1] = x;
	    }
	    result[result.length - 1] = xs[xs.length - 1];
	    return result;
	}
	exports.intersperse = intersperse;
	function intercalate(xs, xss) {
	    return concat(intersperse(xs, xss));
	}
	exports.intercalate = intercalate;
	function foldl(f, initial, xs) {
	    var result = initial;
	    for (var i = 0; i < xs.length; i++) {
	        result = f(result, xs[i]);
	    }
	    return result;
	}
	exports.foldl = foldl;
	function foldr(f, initial, xs) {
	    var result = initial;
	    for (var i = xs.length - 1; i >= 0; i--) {
	        result = f(xs[i], result);
	    }
	    return result;
	}
	exports.foldr = foldr;
	function concat(xss) {
	    var total = sum(map(function (xs) { return xs.length; }, xss));
	    var result = new Array(total);
	    var m = 0;
	    for (var i = 0; i < xss.length; i++) {
	        var xs = xss[i];
	        for (var j = 0; j < xs.length; j++) {
	            result[m++] = xs[j];
	        }
	    }
	    return result;
	}
	exports.concat = concat;
	function sum(xs) {
	    var result = 0;
	    for (var i = 0; i < xs.length; i++) {
	        result += xs[i];
	    }
	    return result;
	}
	exports.sum = sum;
	function product(xs) {
	    var result = 1;
	    for (var i = 0; i < xs.length; i++) {
	        result *= xs[i];
	    }
	    return result;
	}
	exports.product = product;
	function maximum(xs) {
	    var result = xs[0];
	    for (var i = 1; i < xs.length; i++) {
	        if (result < xs[i])
	            result = xs[i];
	    }
	    return result;
	}
	exports.maximum = maximum;
	function minimum(xs) {
	    var result = xs[0];
	    for (var i = 1; i < xs.length; i++) {
	        if (result > xs[i])
	            result = xs[i];
	    }
	    return result;
	}
	exports.minimum = minimum;
	function replicate(n, x) {
	    var result = new Array(n);
	    for (var i = 0; i < result.length; i++) {
	        result[i] = x;
	    }
	    return result;
	}
	exports.replicate = replicate;
	function take(n, xs) {
	    return xs.slice(0, n);
	}
	exports.take = take;
	function drop(n, xs) {
	    return xs.slice(n);
	}
	exports.drop = drop;
	function splitAt(n, xs) {
	    return [take(n, xs), drop(n, xs)];
	}
	exports.splitAt = splitAt;
	function takeWhile(f, xs) {
	    for (var i = 0; i < xs.length; i++) {
	        if (!f(xs[i])) {
	            return xs.slice(0, i);
	        }
	    }
	    return xs.slice();
	}
	exports.takeWhile = takeWhile;
	function dropWhile(f, xs) {
	    for (var i = 0; i < xs.length; i++) {
	        if (!f(xs[i])) {
	            return xs.slice(i);
	        }
	    }
	    return [];
	}
	exports.dropWhile = dropWhile;
	function group(xs) {
	    if (xs.length == 0) {
	        return [];
	    }
	    var result = [];
	    var last = [xs[0]];
	    for (var i = 1; i < xs.length; i++) {
	        if (last[0] === xs[i]) {
	            last.push(xs[i]);
	        }
	        else {
	            result.push(last);
	            last = [xs[i]];
	        }
	    }
	    result.push(last);
	    return result;
	}
	exports.group = group;
	function filter(f, xs) {
	    var result = [];
	    for (var i = 0; i < xs.length; i++) {
	        if (f(xs[i]))
	            result.push(xs[i]);
	    }
	    return result;
	}
	exports.filter = filter;
	function zip(xs, ys) {
	    var n = Prelude_1.min(xs.length, ys.length);
	    var result = new Array(n);
	    for (var i = 0; i < n; i++) {
	        result[i] = [xs[i], ys[i]];
	    }
	    return result;
	}
	exports.zip = zip;
	function unzip(xs) {
	    var r1 = new Array(xs.length);
	    var r2 = new Array(xs.length);
	    for (var i = 0; i < xs.length; i++) {
	        r1[i] = xs[i][0];
	        r2[i] = xs[i][1];
	    }
	    return [r1, r2];
	}
	exports.unzip = unzip;
	function range(from, to) {
	    var result = Array(to - from + 1);
	    for (var i = from; i <= to; i++) {
	        result[i - from] = i;
	    }
	    return result;
	}
	exports.range = range;
	function copy(xs) {
	    return xs.slice(0);
	}
	exports.copy = copy;
	function apply_permutation(p, xs) {
	    var n = xs.length;
	    var result = new Array(n);
	    for (var i = 0; i < n; i++) {
	        result[i] = xs[p[i]];
	    }
	    return result;
	}
	exports.apply_permutation = apply_permutation;
	function next_permutation(p) {
	    var n = p.length;
	    if (n < 2)
	        return null;
	    var r = copy(p);
	    var k = n - 2;
	    for (; k >= 0 && r[k] >= r[k + 1]; k--)
	        ;
	    if (k < 0)
	        return null;
	    for (var i = k + 1, j = n - 1; i < j; i++, j--) {
	        var t_1 = r[i];
	        r[i] = r[j];
	        r[j] = t_1;
	    }
	    var next = k + 1;
	    for (; r[next] <= r[k]; next++)
	        ;
	    var t = r[k];
	    r[k] = r[next];
	    r[next] = t;
	    return r;
	}
	exports.next_permutation = next_permutation;


/***/ }
/******/ ]);