=== SAVED CAST: protego_3_s81 ===
Normalized points: 64
Raw points: N/A

--- NORMALIZED STROKE POINTS (x, y in [0,1], top-left origin) ---
  [ 0]  (0.5653, 1.0000)
  [ 1]  (0.5527, 0.9100)
  [ 2]  (0.5474, 0.8191)
  [ 3]  (0.5422, 0.7283)
  [ 4]  (0.5369, 0.6375)
  [ 5]  (0.5346, 0.5466)
  [ 6]  (0.5346, 0.4556)
  [ 7]  (0.5346, 0.3646)
  [ 8]  (0.5653, 0.0013)
  [ 9]  (0.5705, 0.0856)
  [10]  (0.5313, 0.1276)
  [11]  (0.4469, 0.1267)
  [12]  (0.3625, 0.1257)
  [13]  (0.3261, 0.0536)
  [14]  (0.3590, 0.0000)
  [15]  (0.4106, 0.0127)
  [16]  (0.5653, 0.0269)
  [17]  (0.5653, 0.0917)
  [18]  (0.5653, 0.1564)
  [19]  (0.5643, 0.2211)
  [20]  (0.5607, 0.2858)
  [21]  (0.5571, 0.3504)
  [22]  (0.5536, 0.4151)
  [23]  (0.5500, 0.4797)
  [24]  (0.5653, 0.7062)
  [25]  (0.6158, 0.7791)
  [26]  (0.6473, 0.8624)
  [27]  (0.6739, 0.9436)
  [28]  (0.6040, 0.9373)
  [29]  (0.5536, 0.8639)
  [30]  (0.5636, 0.7850)
  [31]  (0.6428, 0.7876)
  [32]  (0.5653, 0.2802)
  [33]  (0.5832, 0.3403)
  [34]  (0.5809, 0.3909)
  [35]  (0.5229, 0.4148)
  [36]  (0.4760, 0.3952)
  [37]  (0.4395, 0.3469)
  [38]  (0.4913, 0.3113)
  [39]  (0.5229, 0.3405)
  [40]  (0.5653, 0.2963)
  [41]  (0.6082, 0.3408)
  [42]  (0.6111, 0.4004)
  [43]  (0.5511, 0.3856)
  [44]  (0.5212, 0.3528)
  [45]  (0.5546, 0.3197)
  [46]  (0.5981, 0.3504)
  [47]  (0.6196, 0.4084)
  [48]  (0.5653, 0.6092)
  [49]  (0.5529, 0.6679)
  [50]  (0.4981, 0.7036)
  [51]  (0.4422, 0.6823)
  [52]  (0.4288, 0.6413)
  [53]  (0.4822, 0.6223)
  [54]  (0.4910, 0.6320)
  [55]  (0.4260, 0.6399)
  [56]  (0.5653, 0.5819)
  [57]  (0.6063, 0.6057)
  [58]  (0.6402, 0.6343)
  [59]  (0.6445, 0.6783)
  [60]  (0.6009, 0.6598)
  [61]  (0.5741, 0.6308)
  [62]  (0.5765, 0.5834)
  [63]  (0.6157, 0.5623)

--- KEY VERTICES (corners with angle < 120 degrees) ---
  V0  (0.5653, 0.0013)  angle=171.6 deg
  V1  (0.5705, 0.0856)  angle=46.5 deg
  V2  (0.5313, 0.1276)  angle=47.6 deg
  V3  (0.3625, 0.1257)  angle=62.6 deg
  V4  (0.3261, 0.0536)  angle=58.4 deg
  V5  (0.3590, 0.0000)  angle=72.3 deg
  V6  (0.5653, 0.0269)  angle=84.8 deg
  V7  (0.5653, 0.7062)  angle=30.8 deg
  V8  (0.6739, 0.9436)  angle=113.3 deg
  V9  (0.6040, 0.9373)  angle=50.3 deg
  V10  (0.5536, 0.8639)  angle=41.7 deg
  V11  (0.5636, 0.7850)  angle=84.7 deg
  V12  (0.6428, 0.7876)  angle=100.6 deg
  V13  (0.5653, 0.2802)  angle=172.1 deg
  V14  (0.5809, 0.3909)  angle=65.0 deg
  V15  (0.5229, 0.4148)  angle=45.1 deg
  V16  (0.4760, 0.3952)  angle=30.3 deg
  V17  (0.4395, 0.3469)  angle=92.6 deg
  V18  (0.4913, 0.3113)  angle=77.2 deg
  V19  (0.5229, 0.3405)  angle=88.8 deg
  V20  (0.5653, 0.2963)  angle=92.3 deg
  V21  (0.6082, 0.3408)  angle=41.1 deg
  V22  (0.6111, 0.4004)  angle=106.7 deg
  V23  (0.5511, 0.3856)  angle=33.7 deg
  V24  (0.5212, 0.3528)  angle=87.7 deg
  V25  (0.5546, 0.3197)  angle=79.9 deg
  V26  (0.5981, 0.3504)  angle=34.5 deg
  V27  (0.6196, 0.4084)  angle=35.4 deg
  V28  (0.5529, 0.6679)  angle=45.0 deg
  V29  (0.4981, 0.7036)  angle=53.9 deg
  V30  (0.4422, 0.6823)  angle=51.0 deg
  V31  (0.4288, 0.6413)  angle=88.5 deg
  V32  (0.4822, 0.6223)  angle=67.4 deg
  V33  (0.4910, 0.6320)  angle=125.3 deg
  V34  (0.4260, 0.6399)  angle=164.3 deg
  V35  (0.5653, 0.5819)  angle=52.8 deg
  V36  (0.6402, 0.6343)  angle=44.3 deg
  V37  (0.6445, 0.6783)  angle=118.6 deg
  V38  (0.5741, 0.6308)  angle=45.7 deg
  V39  (0.5765, 0.5834)  angle=58.6 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
    }
),
