Max difficulty: 4.4; total difficulty: 199.6

0: Filled in initial combinations & candidates
1: (0) Naked single: 4 in r1c8
2: (0) Naked single: 2 in r4c4
3: (0) Naked single: 1 in r5c2
4: (0) Naked single: 8 in r6c4
5: (0) Naked single: 1 in r7c4
6: (0) Naked single: 2 in r7c1
7: (0) Naked single: 1 in r8c1
8: (0) Naked single: 7 in r1c4
9: (0) Naked single: 1 in r1c5
10: (0) Naked single: 8 in r7c8
11: (1.5) Claiming candidates: cage 1 must contain 2 in r1c2, r1c3: from 8 combinations to 4
12: (1.5) Claiming candidates: cage 0 must contain 3 in r1c1, r2c1: from 10 combinations to 8
13: (1.5) Pointing candidates: all combinations for cage 5 contain 4c4; eliminations in r5c4, r8c4
14: (1.5) Pointing candidates: all combinations for cage 6 contain 3r2,7r2; eliminations in r2c1, r2c4, r2c7, r2c8
15: (0) Naked single: 3 in r1c1
16: (1.5) Claiming candidates: cage 1 must contain 6 in r1c2, r1c3: from 4 combinations to 2
17: (0) Naked single: 8 in r2c2
18: (1.5) Pointing candidates: all combinations for cage 13 contain 7c1,8c1; eliminations in r3c1, r6c1
19: (0) Naked single: 5 in r3c1
20: (0) Naked single: 7 in r3c2
21: (1.5) Claiming candidates: cage 7 must contain 5 in r2c7, r2c8: from 12 combinations to 7
22: (1.5) Pointing candidates: all combinations for cage 21 contain 4r6; eliminations in r6c3, r6c5, r6c6, r6c7
23: (2.1) Hidden triple: 1, 2, 5 in r2c3, r2c7, r2c8
24: (4) Cage comparison: cages 1, 17 interact such that cage 17 has incongruous combinations; reduced from 8 to 6 combinations
25: (3.6) Region sum: Rows 7, 8 must sum to 72; cages 29, 30, 23's cells within this region must sum to 27; cages 30 reduced from 9 combinations to 7
26: (4) Cage comparison: cages 3, 27 interact such that cage 27 has incongruous combinations; reduced from 70 to 69 combinations
27: (4) Cage comparison: cages 6, 18 interact such that cage 18 has incongruous combinations; reduced from 18 to 16 combinations
28: (4) Cage comparison: cages 6, 10 interact such that cage 10 has incongruous combinations; reduced from 21 to 20 combinations
29: (4) Cage comparison: cages 6, 27 interact such that cage 27 has incongruous combinations; reduced from 69 to 53 combinations
30: (4) Cage comparison: cages 21, 18 interact such that cage 18 has incongruous combinations; reduced from 16 to 14 combinations
31: (4) Cage comparison: cages 5, 17 interact such that cage 17 has incongruous combinations; reduced from 6 to 4 combinations
32: (4) Cage comparison: cages 17, 20 interact such that cage 20 has incongruous combinations; reduced from 5 to 4 combinations
33: (4) Cage comparison: cages 17, 29 interact such that cage 29 has incongruous combinations; reduced from 8 to 7 combinations
34: (4) Cage comparison: cages 20, 12 interact such that cage 12 has incongruous combinations; reduced from 10 to 8 combinations
35: (4) Cage comparison: cages 29, 27 interact such that cage 27 has incongruous combinations; reduced from 53 to 49 combinations
36: (4.2) Cage comparison: cages 6, 9, 27 interact such that cage 27 has incongruous combinations; reduced from 49 to 48 combinations
37: (4.2) Cage comparison: cages 5, 17, 29 interact such that cage 29 has incongruous combinations; reduced from 7 to 5 combinations
38: (4.2) Cage comparison: cages 29, 30, 25 interact such that cage 25 has incongruous combinations; reduced from 11 to 10 combinations
39: (4.2) Cage comparison: cages 29, 30, 27 interact such that cage 27 has incongruous combinations; reduced from 48 to 36 combinations
40: (4.2) Cage comparison: cages 29, 25, 27 interact such that cage 27 has incongruous combinations; reduced from 36 to 30 combinations
41: (4.2) Cage comparison: cages 9, 18, 27 interact such that cage 27 has incongruous combinations; reduced from 30 to 29 combinations
42: (4.4) Cage comparison: cages 1, 21, 25, 14 interact such that cages 25, 14 have incongruous combinations; reduced from 10, 12 to 9, 9 combinations respectively
43: (3.9) Region sum: Rows 5, 6 must sum to 72; cages 19, 20, 21, 13, 23's cells within this region must sum to 37; cages 19 reduced from 10 combinations to 6
44: (4) Cage comparison: cages 17, 19 interact such that cage 17 has incongruous combinations; reduced from 4 to 3 combinations
45: (1) Hidden single: 5 in r8c4
46: (1) Hidden single: 6 in r1c3
47: (0) Naked single: 2 in r1c2
48: (0) Naked single: 6 in r1c3
49: (1) Hidden single: 2 in r2c3
50: (0) Naked single: 4 in r2c4
51: (0) Naked single: 6 in r2c1
52: (0) Naked single: 4 in r6c1
53: (1.5) Claiming candidates: cage 27 must contain 2 in r8c5, r8c6: from 25 combinations to 19
54: (3.4) Region sum: Col 2 must sum to 36; cages 14, 21, 25's cells within this region must sum to 18; cages 25 reduced from 6 combinations to 5
55: (3.6) Region sum: Rows 7, 8 must sum to 72; cages 29, 30, 23's cells within this region must sum to 27; cages 23 reduced from 10 combinations to 5
56: (3.8) Region sum: Cols 2, 3, 4 must sum to 108; cages 5, 14, 29, 21's cells within this region must sum to 41; cages 14 reduced from 9 combinations to 7
57: (4) Cage comparison: cages 7, 12 interact such that cage 12 has incongruous combinations; reduced from 8 to 7 combinations
58: (1) Hidden single: 5 in r2c8
59: (0) Naked single: 1 in r2c7
60: (0) Naked single: 5 in r2c8
61: (1.5) Claiming candidates: cage 12 must contain 1 in r3c8, r4c8: from 7 combinations to 6
62: (3.4) Region sum: Col 8 must sum to 36; cages 12, 20, 30's cells within this region must sum to 19; cages 12 reduced from 6 combinations to 4
63: (4) Cage comparison: cages 11, 23 interact such that cage 23 has incongruous combinations; reduced from 5 to 4 combinations
64: (4) Cage comparison: cages 23, 18 interact such that cage 18 has incongruous combinations; reduced from 14 to 12 combinations
65: (4) Cage comparison: cages 25, 14 interact such that cage 14 has incongruous combinations; reduced from 7 to 6 combinations
66: (4) Cage comparison: cages 25, 27 interact such that cage 25 has incongruous combinations; reduced from 5 to 4 combinations
67: (1.5) Pointing candidates: all combinations for cage 25 contain 3c2; eliminations in r4c2
68: (4.2) Cage comparison: cages 5, 11, 10 interact such that cage 10 has incongruous combinations; reduced from 20 to 19 combinations
69: (4.2) Cage comparison: cages 6, 18, 27 interact such that cage 27 has incongruous combinations; reduced from 19 to 13 combinations
70: (4.2) Cage comparison: cages 21, 23, 25 interact such that cage 23 has incongruous combinations; reduced from 4 to 3 combinations
71: (0) Naked single: 2 in r6c7
72: (3.8) Region sum: Rows 5, 6 must sum to 72; cages 19, 20, 21, 13's cells within this region must sum to 35; cages 19 reduced from 5 combinations to 4
73: (3.8) Region sum: Cols 5, 6 must sum to 72; cages 9, 10, 3, 19's cells within this region must sum to 27; cages 10 reduced from 19 combinations to 18
74: (4.2) Cage comparison: cages 5, 11, 9 interact such that cage 9 has incongruous combinations; reduced from 13 to 11 combinations
75: (4.2) Cage comparison: cages 5, 11, 10 interact such that cage 10 has incongruous combinations; reduced from 18 to 17 combinations
76: (4.2) Cage comparison: cages 29, 25, 27 interact such that cage 27 has incongruous combinations; reduced from 13 to 10 combinations
77: (1) Hidden single: 3 in r7c2
78: (4) Cage comparison: cages 25, 27 interact such that cage 27 has incongruous combinations; reduced from 10 to 8 combinations
79: (4.2) Cage comparison: cages 25, 17, 14 interact such that cage 14 has incongruous combinations; reduced from 5 to 4 combinations
80: (4.2) Cage comparison: cages 17, 20, 19 interact such that cage 20 has incongruous combinations; reduced from 3 to 2 combinations
81: (1.5) Claiming candidates: cage 18 must contain 7 in r6c5, r6c6: from 8 combinations to 5
82: (1) Hidden single: 8 in r5c1
83: (0) Naked single: 7 in r4c1
84: (0) Naked single: 8 in r5c1
85: (1) Hidden single: 1 in r6c3
86: (1) Hidden single: 5 in r6c2
87: (1.5) Claiming candidates: cage 10 must contain 1 in r3c6, r4c6: from 14 combinations to 10
88: (2) X-Wing: 7 in r2, 6
89: (1.5) Claiming candidates: cage 30 must contain 7 in r8c7, r8c8: from 4 combinations to 3
90: (1) Hidden single: 3 in r8c3
91: (0) Naked single: 6 in r4c2
92: (0) Naked single: 7 in r7c3
93: (0) Naked single: 4 in r5c3
94: (0) Naked single: 8 in r3c3
95: (0) Naked single: 3 in r3c4
96: (0) Naked single: 6 in r5c4
97: (0) Naked single: 4 in r8c2
98: (0) Naked single: 5 in r4c3
99: (1) Hidden single: 7 in r5c8
100: (0) Naked single: 7 in r8c7
101: (0) Naked single: 6 in r8c8
102: (0) Naked single: 3 in r6c8
103: (0) Naked single: 2 in r5c5
104: (0) Naked single: 6 in r3c5
105: (0) Naked single: 4 in r3c7
106: (0) Naked single: 6 in r7c7
107: (0) Naked single: 8 in r4c7
108: (0) Naked single: 8 in r1c6
109: (0) Naked single: 8 in r8c5
110: (0) Naked single: 2 in r8c6
111: (0) Naked single: 1 in r3c6
112: (0) Naked single: 2 in r3c8
113: (0) Naked single: 1 in r4c8
114: (0) Naked single: 5 in r1c7
115: (0) Naked single: 5 in r5c6
116: (0) Naked single: 5 in r7c5
117: (0) Naked single: 4 in r7c6
118: (0) Naked single: 3 in r4c6
119: (0) Naked single: 3 in r2c5
120: (0) Naked single: 7 in r2c6
121: (0) Naked single: 7 in r6c5
122: (0) Naked single: 6 in r6c6
123: (0) Naked single: 3 in r5c7
124: (0) Naked single: 4 in r4c5