Problem:
Score : 400 points

Problem Statement

Given is an integer S.
Find a combination of six integers X_1,Y_1,X_2,Y_2,X_3, and Y_3 that satisfies all of the following conditions:

0 \leq X_1,Y_1,X_2,Y_2,X_3,Y_3 \leq 10^9

The area of the triangle in a two-dimensional plane whose vertices are (X_1,Y_1),(X_2,Y_2), and (X_3,Y_3) is S/2.

We can prove that there always exist six integers that satisfy the conditions under the constraints of this problem.

Constraints

1 \leq S \leq 10^{18}

All values in input are integers.

Input

Input is given from Standard Input in the following format:

S

Output

Print six integers X_1,Y_1,X_2,Y_2,X_3, and Y_3 that satisfy the conditions, in this order, with spaces in between.
If multiple solutions exist, any of them will be accepted.

Sample Input 1

3

Sample Output 1

1 0 2 2 0 1

The area of the triangle in a two-dimensional plane whose vertices are (1,0),(2,2), and (0,1) is 3/2.
Printing 3 0 3 1 0 1 or 1 0 0 1 2 2 will also be accepted.

Sample Input 2

100

Sample Output 2

0 0 10 0 0 10

Sample Input 3

311114770564041497

Sample Output 3

314159265 358979323 846264338 327950288 419716939 937510582

Solution in JavaScript (node.js v5.12) (judge verdict: Wrong Answer)

// 入力とかに使うもの
var reader = require('readline').createInterface({ input: process.stdin, output: process.stdout });
var lines = [];
reader.on('line', function (line) { lines.push(line); });
 
//
function pf(n) {
	var c = 1;
	var result = [];
 
	if (n === 1) {
		return [1];
	}
 
	var init = 2;
 
	while (n !== 1) {
		var i = init;
		while (i < Number.MAX_SAFE_INTEGER) {
			if (n % i == 0) {
				result.push(i);
				c = c * i;
				if(c > 1000000000) return result;
				n /= i;
				break;
			}
			i++;
		}
		init = i;
	}
	return result;
}
 
// メイン
reader.on('close', function () {
	var s = Number(lines[0]);
	var n = pf(s);
	var w = 1;
	for(var i in n) w = w * n[i];
	if(n.length > 1) w = w / n[n.length - 1];
	console.log("0 0 " + w + " 0 0 " + (s / w));
});