import math

d2 = 12.9
l1 = 85.0
l2 = 110.0

for t1 in range(360):
    for t2 in range(360):
        th1 = math.radians(t1)
        th2 = math.radians(t2)
        
        e1x = -d2 + l1 * math.cos(th1)
        e1y = l1 * math.sin(th1)
        
        e2x = d2 + l1 * math.cos(th2)
        e2y = l1 * math.sin(th2)
        
        dx = e2x - e1x
        dy = e2y - e1y
        dist = math.sqrt(dx*dx + dy*dy)
        
        if dist < 1e-6 or dist > 2*l2:
            continue
            
        a = dist / 2
        h2 = l2*l2 - a*a
        if h2 < 0:
            h2 = 0
        h = math.sqrt(h2)
        
        mx = (e1x + e2x) / 2
        my = (e1y + e2y) / 2
        
        px1 = mx + h * (dy / dist)
        py1 = my + h * (-dx / dist)
        
        px2 = mx - h * (dy / dist)
        py2 = my - h * (-dx / dist)
        
        if py1 >= py2:
            ex = px1
            ey = py1
        else:
            ex = px2
            ey = py2
            
        if abs(ex - 114.4) < 1.0 and abs(ey - 112.7) < 1.0:
            print(f"Match: t1={t1} t2={t2} -> {ex:.1f}, {ey:.1f}")