package yukicoder;

import java.math.BigDecimal;

public class Main{
	public static void main(String[] args) {
		new Main().solve();
	}

	void solve() {
		int count = 0;
		for (long i = 1_000_000_000L; i >= 1; i--) {
			long d = i * (i + 1) - 1;
			if (d <= 1_000_000_000_000_000_000L) {
				while (!iscorrect(d)) {
					System.out.println(d);
					d--;
					count++;
					if (count == 100000)
						return;
				}
			}
		}
	}

	boolean iscorrect(long d) {
		if(d>1_000_000_000_000_000_000L){
			System.out.println("dが範囲外");
			System.exit(0);
		}
		long ans = calc(d);
		if (ans * ans + ans <= d && (ans + 1) * (ans + 1) + (ans + 1) > d) {
			return true;
		} else
			return false;
	}

	long calc(long d) {
		return (long) ((-1 + Math.sqrt(1 + 4 * d)) / 2.0);
	}

	double calc_ori(long d) {
		return (-1 + Math.sqrt(1 + 4 * d)) / 2.0;
	}

	BigDecimal calc_ori_ex(long d) {
		return BigDecimal.valueOf(-1).add(sqrt(BigDecimal.valueOf(4 * d + 1), 100)).divide(BigDecimal.valueOf(2));
	}

	void show(long d) {
		System.out.println("参加者の示すtの値" + calc(d));
		System.out.println("t*t+t           " + (calc(d) * calc(d) + calc(d)));
		System.out.println("(t+1)(t+1)+(t+1)" + ((calc(d) + 1) * (calc(d) + 1) + (calc(d) + 1)));
		System.out.println("d               " + d);
		System.out.println("二次方程式を解いた時のtの値(参加者の）" + calc_ori(d));
		System.out.println("二次方程式を解いた時のt（参加者の）でのt*t+t" + (calc_ori(d) * calc_ori(d) + calc_ori(d)));
		System.out.println("二次方程式を解いた時のtの値（精度を上げた）" + calc_ori_ex(d));
	}

	// scaleは桁数。
	public static BigDecimal sqrt(BigDecimal a, int scale) {
		BigDecimal x = a;
		for (int i = 0; i < 10000; i++) {
			// x=x-(x*x-a)/(2*x)
			x = x.subtract((x.multiply(x).subtract(a)).divide((x.multiply(BigDecimal.valueOf(2.0))), scale,
					BigDecimal.ROUND_HALF_EVEN));
		}
		return x;
	}
}