The International Billiard Manufactory (IBM) builds the best billiard tables in the world. Its last product is the Rational Billiard, which is a friction-less table with volume-less balls. This means that balls just occupy a point in the space, and once they are struck with the cue, they move on the table with constant velocity, until they hit another ball. IBM wants you to build a program to analyse the behavior of balls in the Rational Billiard. The program has to decide whether a ball, struck with certain angle, will hit another ball in certain position. The next figure shows the configuration of the table and the balls: \includegraphics{https://static.e-olymp.com/content/65/65557f51b0967b28e9ccf070f30df165c4f10e63.jpg} \includegraphics{http://uva.onlinejudge.org/external/116/11657img2.png} \textbf{m} and \textbf{n} are integer values that indicate the size of the table. (\textbf{x_1}, \textbf{y_1}) and (\textbf{x_2}, \textbf{y_2}) are the coordinates of the first and second ball respectivelly, with \textbf{0} < \textbf{x_1}, \textbf{x_2} < \textbf{m} and \textbf{0} < \textbf{y_1}, \textbf{y_2} < \textbf{n}. The direction in which the first ball is struck is determined by the integer values \textbf{p} and \textbf{q}. More precisely, the slope determines the hitting direction of the cue, where \textbf{p} and \textbf{q} cannot be zero simultaneously. A value of \textbf{p} = \textbf{0} means that the ball moves parallel to the vertical axis, according to the sign of \textbf{q}. When the ball hits an edge, it rebounds like if the edge were a mirror ( \textit{incidence} \textit{angle} = \textit{reflection} \textit{angle}). In the special case when the ball hits a corner, it is reflected on the same line but in the opposite direction of arrival. Finally, spin effects are neglected, too. \InputFile Each line in the input corresponds to a test case specified by eight integer values: \textbf{m}, \textbf{n}, \textbf{x_1}, \textbf{y_1}, \textbf{x_2}, \textbf{y_2}, \textbf{p} and \textbf{q}, with \textbf{0} < \textbf{m}, \textbf{n ≤ 1000}, \textbf{0} < \textbf{x_1}, \textbf{x_2} < \textbf{m}, \textbf{0} < \textbf{y_1}, \textbf{y_2} < \textbf{n}, \textbf{-1000 ≤ p}, \textbf{q ≤ 1000}, and |\textbf{p}| + |\textbf{q}| > \textbf{0}. The end of the input is specified by a line with the string "\textbf{0 0 0 0 0 0 0 0}". \OutputFile For each test case, the program must output a line with the the text "\textbf{HIT}" if the first ball hits the second ball, or "\textbf{MISS}" if it does not.