You're given the centers of three equal sides of a strictly convex tetragon. Your task is to restore the initial tetragon.
The first input line contains one number *T* — amount of tests (1 ≤ *T* ≤ 5·10<sup class="upper-index">4</sup>). Each of the following *T* lines contains numbers *x*<sub class="lower-index">1</sub>, *y*<sub class="lower-index">1</sub>, *x*<sub class="lower-index">2</sub>, *y*<sub class="lower-index">2</sub>, *x*<sub class="lower-index">3</sub>, *y*<sub class="lower-index">3</sub> — coordinates of different points that are the centers of three equal sides (non-negative integer numbers, not exceeding 10).
n = int(input())
for i in range(n):
    x1,y1,x2,y2,x3,y3 = map(int,input().split())


print("NO")
print("")
print("YES")
print("3.5 1.5 0.5 2.5 -0.5 -0.5 2.5 0.5")
print("NO")
print("")

