Anya has divided a board of size m \times n into 1 \times 1 cells and painted them in a chessboard pattern with black and white colors. Vasya wants to know which color has more cells: black or white.
To answer this question, he asked Anya about the color of the -th cell in the -th row. Based on this information, Vasya is trying to determine which color covers more cells on the board.
Write a program that, given the board dimensions and the color of the -th cell in the -th row, determines which color of cells is in the majority on the board: black or white.
The input contains five integers: , , , , and (1 \le m, n \le 10^9, 1 \le i \le m, 1 \le j \le n, c = 0 or c = 1). Here, c = 0 means the -th cell in the -th row is black, and c = 1 means it is white.
Output one of the following words: - black, if there are more black cells on the board; - white, if there are more white cells on the board; - equal, if there are equal numbers of black and white cells.
Example 1