CF227A.Where do I Turn?

普及/提高-

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题目描述

Trouble came from the overseas lands: a three-headed dragon Gorynych arrived. The dragon settled at point CC and began to terrorize the residents of the surrounding villages.

A brave hero decided to put an end to the dragon. He moved from point AA to fight with Gorynych. The hero rode from point AA along a straight road and met point BB on his way. The hero knows that in this land for every pair of roads it is true that they are either parallel to each other, or lie on a straight line, or are perpendicular to each other. He also knows well that points BB and CC are connected by a road. So the hero must either turn 90 degrees to the left or continue riding straight ahead or turn 90 degrees to the right. But he forgot where the point CC is located.

Fortunately, a Brave Falcon flew right by. It can see all three points from the sky. The hero asked him what way to go to get to the dragon's lair.

If you have not got it, you are the falcon. Help the hero and tell him how to get him to point CC : turn left, go straight or turn right.

At this moment the hero is believed to stand at point BB , turning his back to point AA .

输入格式

The first input line contains two space-separated integers xa,yax_{a},y_{a} (xa,ya<=109)(|x_{a}|,|y_{a}|<=10^{9}) — the coordinates of point AA . The second line contains the coordinates of point BB in the same form, the third line contains the coordinates of point CC .

It is guaranteed that all points are pairwise different. It is also guaranteed that either point BB lies on segment ACAC , or angle ABCABC is right.

输出格式

Print a single line. If a hero must turn left, print "LEFT" (without the quotes); If he must go straight ahead, print "TOWARDS" (without the quotes); if he should turn right, print "RIGHT" (without the quotes).

输入输出样例

  • 输入#1

    0 0
    0 1
    1 1
    

    输出#1

    RIGHT
    
  • 输入#2

    -1 -1
    -3 -3
    -4 -4
    

    输出#2

    TOWARDS
    
  • 输入#3

    -4 -6
    -3 -7
    -2 -6
    

    输出#3

    LEFT
    

说明/提示

The picture to the first sample:

The red color shows points A, B and C. The blue arrow shows the hero's direction. The green color shows the hero's trajectory.

The picture to the second sample:

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