#D1656. Rectangles

    ID: 1380 Type: Default 2000ms 256MiB

Rectangles

Rectangles

You are given n rectangles on a plane with coordinates of their bottom left and upper right points. Some (n-1) of the given n rectangles have some common point. A point belongs to a rectangle if this point is strictly inside the rectangle or belongs to its boundary.

Find any point with integer coordinates that belongs to at least (n-1) given rectangles.

Input

The first line contains a single integer n (2 ≤ n ≤ 132 674) — the number of given rectangles.

Each the next n lines contains four integers x_1, y_1, x_2 and y_2 (-10^9 ≤ x_1 < x_2 ≤ 10^9, -10^9 ≤ y_1 < y_2 ≤ 10^9) — the coordinates of the bottom left and upper right corners of a rectangle.

Output

Print two integers x and y — the coordinates of any point that belongs to at least (n-1) given rectangles.

Examples

Input

3 0 0 1 1 1 1 2 2 3 0 4 1

Output

1 1

Input

3 0 0 1 1 0 1 1 2 1 0 2 1

Output

1 1

Input

4 0 0 5 5 0 0 4 4 1 1 4 4 1 1 4 4

Output

1 1

Input

5 0 0 10 8 1 2 6 7 2 3 5 6 3 4 4 5 8 1 9 2

Output

3 4

Note

The picture below shows the rectangles in the first and second samples. The possible answers are highlighted.

The picture below shows the rectangles in the third and fourth samples.

inputFormat

Input

The first line contains a single integer n (2 ≤ n ≤ 132 674) — the number of given rectangles.

Each the next n lines contains four integers x_1, y_1, x_2 and y_2 (-10^9 ≤ x_1 < x_2 ≤ 10^9, -10^9 ≤ y_1 < y_2 ≤ 10^9) — the coordinates of the bottom left and upper right corners of a rectangle.

outputFormat

Output

Print two integers x and y — the coordinates of any point that belongs to at least (n-1) given rectangles.

Examples

Input

3 0 0 1 1 1 1 2 2 3 0 4 1

Output

1 1

Input

3 0 0 1 1 0 1 1 2 1 0 2 1

Output

1 1

Input

4 0 0 5 5 0 0 4 4 1 1 4 4 1 1 4 4

Output

1 1

Input

5 0 0 10 8 1 2 6 7 2 3 5 6 3 4 4 5 8 1 9 2

Output

3 4

Note

The picture below shows the rectangles in the first and second samples. The possible answers are highlighted.

The picture below shows the rectangles in the third and fourth samples.

样例

4
0 0 5 5
0 0 4 4
1 1 4 4
1 1 4 4
1 1

</p>