=== SAVED CAST: protego_7_s81 ===
Normalized points: 64
Raw points: N/A

--- NORMALIZED STROKE POINTS (x, y in [0,1], top-left origin) ---
  [ 0]  (0.6110, 1.0000)
  [ 1]  (0.5992, 0.8940)
  [ 2]  (0.5874, 0.7880)
  [ 3]  (0.5855, 0.6814)
  [ 4]  (0.5855, 0.5747)
  [ 5]  (0.5855, 0.4681)
  [ 6]  (0.5822, 0.3616)
  [ 7]  (0.5725, 0.2553)
  [ 8]  (0.6110, 0.0151)
  [ 9]  (0.7151, 0.0761)
  [10]  (0.7456, 0.1751)
  [11]  (0.6941, 0.2330)
  [12]  (0.5795, 0.1955)
  [13]  (0.5480, 0.1192)
  [14]  (0.6015, 0.0140)
  [15]  (0.6624, 0.0394)
  [16]  (0.6110, 0.1198)
  [17]  (0.6103, 0.1850)
  [18]  (0.6097, 0.2502)
  [19]  (0.6091, 0.3153)
  [20]  (0.6084, 0.3805)
  [21]  (0.6078, 0.4457)
  [22]  (0.6016, 0.5105)
  [23]  (0.5950, 0.5754)
  [24]  (0.6110, 0.6684)
  [25]  (0.6426, 0.7441)
  [26]  (0.6743, 0.8199)
  [27]  (0.6312, 0.8585)
  [28]  (0.5824, 0.8216)
  [29]  (0.5552, 0.7441)
  [30]  (0.5887, 0.6710)
  [31]  (0.6110, 0.7226)
  [32]  (0.6110, 0.7900)
  [33]  (0.4159, 0.8084)
  [34]  (0.2544, 0.7737)
  [35]  (0.2646, 0.5783)
  [36]  (0.3567, 0.4554)
  [37]  (0.5241, 0.5155)
  [38]  (0.4795, 0.7061)
  [39]  (0.4346, 0.7420)
  [40]  (0.6110, 0.3613)
  [41]  (0.4215, 0.3533)
  [42]  (0.3092, 0.2478)
  [43]  (0.3653, 0.0636)
  [44]  (0.5058, 0.0000)
  [45]  (0.6367, 0.0873)
  [46]  (0.6134, 0.2784)
  [47]  (0.5438, 0.4525)
  [48]  (0.6110, 0.5239)
  [49]  (0.4390, 0.5165)
  [50]  (0.3814, 0.3544)
  [51]  (0.3755, 0.1793)
  [52]  (0.4393, 0.0422)
  [53]  (0.5612, 0.1575)
  [54]  (0.5885, 0.3278)
  [55]  (0.5565, 0.4980)
  [56]  (0.6110, 0.6748)
  [57]  (0.5252, 0.7295)
  [58]  (0.4155, 0.7484)
  [59]  (0.3503, 0.6614)
  [60]  (0.3912, 0.5663)
  [61]  (0.5015, 0.5569)
  [62]  (0.5693, 0.6282)
  [63]  (0.5565, 0.7353)

--- KEY VERTICES (corners with angle < 120 degrees) ---
  V0  (0.6110, 0.0151)  angle=111.2 deg
  V1  (0.7151, 0.0761)  angle=42.6 deg
  V2  (0.7456, 0.1751)  angle=58.8 deg
  V3  (0.6941, 0.2330)  angle=66.4 deg
  V4  (0.5795, 0.1955)  angle=49.4 deg
  V5  (0.5480, 0.1192)  angle=49.4 deg
  V6  (0.6015, 0.0140)  angle=85.7 deg
  V7  (0.6624, 0.0394)  angle=99.9 deg
  V8  (0.6110, 0.1198)  angle=32.0 deg
  V9  (0.6743, 0.8199)  angle=70.8 deg
  V10  (0.6312, 0.8585)  angle=78.9 deg
  V11  (0.5824, 0.8216)  angle=33.6 deg
  V12  (0.5552, 0.7441)  angle=43.9 deg
  V13  (0.5887, 0.6710)  angle=132.0 deg
  V14  (0.6110, 0.7900)  angle=84.6 deg
  V15  (0.2544, 0.7737)  angle=80.8 deg
  V16  (0.2646, 0.5783)  angle=33.9 deg
  V17  (0.3567, 0.4554)  angle=72.9 deg
  V18  (0.5241, 0.5155)  angle=83.4 deg
  V19  (0.4795, 0.7061)  angle=38.3 deg
  V20  (0.4346, 0.7420)  angle=153.4 deg
  V21  (0.6110, 0.3613)  angle=112.4 deg
  V22  (0.4215, 0.3533)  angle=40.8 deg
  V23  (0.3092, 0.2478)  angle=63.7 deg
  V24  (0.3653, 0.0636)  angle=48.7 deg
  V25  (0.5058, 0.0000)  angle=58.1 deg
  V26  (0.6367, 0.0873)  angle=63.2 deg
  V27  (0.5438, 0.4525)  angle=65.1 deg
  V28  (0.6110, 0.5239)  angle=135.7 deg
  V29  (0.4390, 0.5165)  angle=68.0 deg
  V30  (0.4393, 0.0422)  angle=108.4 deg
  V31  (0.5612, 0.1575)  angle=37.5 deg
  V32  (0.6110, 0.6748)  angle=74.6 deg
  V33  (0.4155, 0.7484)  angle=62.9 deg
  V34  (0.3503, 0.6614)  angle=60.1 deg
  V35  (0.3912, 0.5663)  angle=61.8 deg
  V36  (0.5015, 0.5569)  angle=51.3 deg
  V37  (0.5693, 0.6282)  angle=50.3 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
    }
),
