- Code: Select all
810003000200400000009060700040050009000004800900100050080000300006005001000300026
600002090002098006005700002060900000504000907000004080100005700800640100040100008
875000000000000057093157000000000002006004070010038640000000020040060005001089406
000000652000006000596000000000053000200080013430070090004000100003200075850900300
GSP Puzzle
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GSP Puzzle
by yzfwsf » Mon Dec 28, 2020 12:26 am
Provide GSP puzzles randomly generated by my solver for fans to play.
- yzfwsf
- Posts: 854
- Joined: 16 April 2019
Re: GSP Puzzle
by Leren » Mon Dec 28, 2020 3:46 am
Puzzle 1 : Anti Diagonal Symmetry; 1 Skyscraper to finish. Puzzle 2 : PI Symmetry solves r5c5 : couple of simple moves to finish. Puzzle 3 : Column Sticks Symmetry; stte. Puzzle 4 : Row Sticks Symmetry : stte. Leren
- Leren
- Posts: 5046
- Joined: 03 June 2012
Re: GSP Puzzle
by Cenoman » Thu Dec 31, 2020 9:36 pm
@yzfwsf,
thanks for these training puzzles.
Puzzle 1, SE 9.2
Second diagonal symmetry [1] [2] [7] [39] [45] [68]. The second diagonal can contain only 1, 2, 7
BUG+2 (7=3)r5c9 - (3)r5c3 == (9)r7c5 - (9=7)r1c5 => -7 r5c5; ste
********************************
Puzzle 2 SE 9.2
Central symmetry [12] [49] [57] [68]. Digit 3 must map to itself and be at the center +3 r5c5
2. W-Wing (1=6)r3c5 - r6c5 = r6c7 - (6=1)r5c8 => -1 r3c8
3. X-Wing (3)r19\c36 => -3 r3c7, r7c3
4. BUG+2 (8=1)r4c3 - (1)r4c5 == (2)r6c5 - (2=8)r5c4 => -8 r5c2; ste
********************************
Puzzle 3 SE 9.0
Look at the pattern:
The number of given and solved cells in boxes, maps as follows:
The similarity between bands 2, 3 is a clue for a column sticks symmetry, with sticks located in band 1.
The number of givens and solved cells in columns maps as follows:
This gives a clue to find the sticks: in b1, r123c1; in b2, r123c4, in b3, r123c7 (the columns that have a pattern different from the other two's).
From there, no need for a prior isomorphism, the automorphism is obvious:
swap bands [23], then swap columns [23] [56] [89] (the sticks don't move)
then carry out digit permutation [39] [46] [57] [1] [2] [8]. The start puzzle is recovered:
The sticks can contain only the invariant digits => +2 r3c1, +2 r1c4, +2r2c7, +1 r1c7, +8r3c7; ste.
********************************
Puzzle 4 SE 9.1
Given and solved cells map (per box)
similar stacks [13] => possible row sticks symmetry, sticks in stack 2
Given and solved cells map (per row)
Prior isomorphism (I): swap circularly rows [789] [7->9], [8->7], [9->8]
Automorphism of the resulting puzzle:Swap stacks [13], then swap rows [13], [56], [89].The start puzzle is recovered:
and then carry out digit permutation [14] [29] [78] [3] [5] [6]
Eventually apply inverse I. The start puzzle is recovered.
The sticks can contain only the invariant digits => +3 r2c3, +6 r4c4, +3r7c4, +6 r7c57; ste.
thanks for these training puzzles.
Puzzle 1, SE 9.2
Hidden Text: Show
Second diagonal symmetry [1] [2] [7] [39] [45] [68]. The second diagonal can contain only 1, 2, 7
Hidden Text: Show
BUG+2 (7=3)r5c9 - (3)r5c3 == (9)r7c5 - (9=7)r1c5 => -7 r5c5; ste
********************************
Puzzle 2 SE 9.2
Hidden Text: Show
Central symmetry [12] [49] [57] [68]. Digit 3 must map to itself and be at the center +3 r5c5
Hidden Text: Show
2. W-Wing (1=6)r3c5 - r6c5 = r6c7 - (6=1)r5c8 => -1 r3c8
Hidden Text: Show
3. X-Wing (3)r19\c36 => -3 r3c7, r7c3
4. BUG+2 (8=1)r4c3 - (1)r4c5 == (2)r6c5 - (2=8)r5c4 => -8 r5c2; ste
********************************
Puzzle 3 SE 9.0
Hidden Text: Show
Look at the pattern:
The number of given and solved cells in boxes, maps as follows:
- Code: Select all
| 6 | 4 | 2 |
| 2 | 3 | 5 |
| 2 | 3 | 5 |
The similarity between bands 2, 3 is a clue for a column sticks symmetry, with sticks located in band 1.
The number of givens and solved cells in columns maps as follows:
- Code: Select all
| 2 4 4 | 2 4 4 | 2 4 4 |
This gives a clue to find the sticks: in b1, r123c1; in b2, r123c4, in b3, r123c7 (the columns that have a pattern different from the other two's).
From there, no need for a prior isomorphism, the automorphism is obvious:
swap bands [23], then swap columns [23] [56] [89] (the sticks don't move)
Hidden Text: Show
then carry out digit permutation [39] [46] [57] [1] [2] [8]. The start puzzle is recovered:
Hidden Text: Show
The sticks can contain only the invariant digits => +2 r3c1, +2 r1c4, +2r2c7, +1 r1c7, +8r3c7; ste.
********************************
Puzzle 4 SE 9.1
Hidden Text: Show
Given and solved cells map (per box)
- Code: Select all
| 3 | 4 | 3 |
| 4 | 6 | 4 |
| 4 | 3 | 4 |
similar stacks [13] => possible row sticks symmetry, sticks in stack 2
Given and solved cells map (per row)
- Code: Select all
| 3 2 3 | 4 5 5 | 3 4 4 |
Prior isomorphism (I): swap circularly rows [789] [7->9], [8->7], [9->8]
Hidden Text: Show
Automorphism of the resulting puzzle:Swap stacks [13], then swap rows [13], [56], [89].The start puzzle is recovered:
Hidden Text: Show
and then carry out digit permutation [14] [29] [78] [3] [5] [6]
Hidden Text: Show
Eventually apply inverse I. The start puzzle is recovered.
Hidden Text: Show
The sticks can contain only the invariant digits => +3 r2c3, +6 r4c4, +3r7c4, +6 r7c57; ste.
Cenoman
- Cenoman
- Posts: 2769
- Joined: 21 November 2016
- Location: France
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