=== SAVED CAST: x_4_m1 ===
Normalized points: 64
Raw points: N/A

--- NORMALIZED STROKE POINTS (x, y in [0,1], top-left origin) ---
  [ 0]  (0.6377, 0.1946)
  [ 1]  (0.6817, 0.1968)
  [ 2]  (0.7257, 0.1989)
  [ 3]  (0.7698, 0.2011)
  [ 4]  (0.8138, 0.2033)
  [ 5]  (0.8554, 0.2152)
  [ 6]  (0.8951, 0.2342)
  [ 7]  (0.9349, 0.2532)
  [ 8]  (0.9662, 0.2803)
  [ 9]  (0.9831, 0.3210)
  [10]  (1.0000, 0.3617)
  [11]  (0.9909, 0.4023)
  [12]  (0.9738, 0.4429)
  [13]  (0.9566, 0.4835)
  [14]  (0.9194, 0.5000)
  [15]  (0.8763, 0.5094)
  [16]  (0.8333, 0.5188)
  [17]  (0.7902, 0.5282)
  [18]  (0.7487, 0.5244)
  [19]  (0.7089, 0.5054)
  [20]  (0.6690, 0.4865)
  [21]  (0.6292, 0.4676)
  [22]  (0.6026, 0.4336)
  [23]  (0.5782, 0.3968)
  [24]  (0.5583, 0.3587)
  [25]  (0.5583, 0.3146)
  [26]  (0.5900, 0.2922)
  [27]  (0.6310, 0.2761)
  [28]  (0.6722, 0.2605)
  [29]  (0.7160, 0.2554)
  [30]  (0.7598, 0.2503)
  [31]  (0.8035, 0.2453)
  [32]  (0.6377, 0.9166)
  [33]  (0.6067, 0.9019)
  [34]  (0.5777, 0.8847)
  [35]  (0.5542, 0.8598)
  [36]  (0.5307, 0.8349)
  [37]  (0.5072, 0.8100)
  [38]  (0.4837, 0.7851)
  [39]  (0.4602, 0.7602)
  [40]  (0.4380, 0.7342)
  [41]  (0.4168, 0.7074)
  [42]  (0.3955, 0.6805)
  [43]  (0.3743, 0.6536)
  [44]  (0.3531, 0.6268)
  [45]  (0.3319, 0.5999)
  [46]  (0.3106, 0.5731)
  [47]  (0.2894, 0.5462)
  [48]  (0.2687, 0.5190)
  [49]  (0.2485, 0.4913)
  [50]  (0.2283, 0.4637)
  [51]  (0.2081, 0.4360)
  [52]  (0.1879, 0.4084)
  [53]  (0.1677, 0.3807)
  [54]  (0.1475, 0.3531)
  [55]  (0.1273, 0.3254)
  [56]  (0.1071, 0.2978)
  [57]  (0.0917, 0.2672)
  [58]  (0.0764, 0.2366)
  [59]  (0.0611, 0.2060)
  [60]  (0.0458, 0.1754)
  [61]  (0.0304, 0.1448)
  [62]  (0.0151, 0.1142)
  [63]  (0.0000, 0.0834)

--- KEY VERTICES (corners with angle < 120 degrees) ---
  V0  (1.0000, 0.3617)  angle=35.1 deg
  V1  (0.9566, 0.4835)  angle=43.2 deg
  V2  (0.5583, 0.3146)  angle=54.7 deg
  V3  (0.8035, 0.2453)  angle=110.5 deg
  V4  (0.6377, 0.9166)  angle=101.4 deg

--- SUGGESTED DOT TEMPLATE FORMAT ---
// Paste into SpellGestureTracker.java getDotTemplates():
new DotTemplate(DetectedPattern.SPELL_NAME, "description",
    new double[][] {
        // pick key dots from vertices above
    },
    new int[][] {
        // define connections between dots
    }
),
