${DynamicText("About this genre (loading...)")}
This implementation generalises the [Letter Weights] ruleset, by:
- allowing other arithmetic operations beyond the sum
- allowing inequalities
- letting the setter provide repeated numbers, if desired
It was released with @PuzzleSquareJP [Advent Calendar 2024|https://puzsq.logicpuzzle.app/campaign/advent-calendar/2024], day 15, in mind.
For puzzles repeated numbers, uniqueness is up to equivalent assignment, even if there are several ways to draw the connecting lines.
## [letter-weights] Puzzles
### @PinkHoodie
W=16x6&L=I0S1S1E1I1x1N1E1I1X1S1x1T1N1X1I1N1x1E1T1T1S1E1x1N1I1E1T1X1x1S1E1E1E1T1x1I1N1N1N1(21)1x1T1T1(25)1T1x1x1I1(29)1x1S1x1x1E1x1x1(31)1x1x1S1x1x1x1x1x1(42)1x1x1x1x1x1x1x1x1x1x1x1(6)1(5)1(4)1(3)1(2)1(1)1x1x1x1x1x1x1X1T1S1N1I1E1&L-MATH=p5p1p1p1p1p7p1p1p1p1p7p1p1p1p1p7p1p1p1p1p7p1p1p1p1p7p1p1p1e1p7p1e1p1p8e1p2p8e3p8e11&SSF=78UUUURR1RR1UUURR1DDDRR1RRD1DDDRR&G=letter-weights&D=2024-12-31&F=3&O=(Puzsq_Advent_2024_Make_Up/Rollout_Make_Up)&T=16x6_Rollout
W=8x4&L=B0D1B1x1A1A1A1x1Y1Y1D1x1(59)1(56)1(47)1x1x1x1x1x1(24)1(20)1(15)1(12)1x1x1x1x1Y1D1B1A1&L-MATH=p3p1p1p5p1p1e5e1e1&SSF=20RR1UURR1RR1RRDD&G=letter-weights&A=PinkHoodie&D=2024-12-15&F=2&O=Puzsq_Advent_2024&T=Bad_Day_Bay
W=10x6&L=x0x1C1C1R1R1x1x1H1H1E1A1x1x1E1E1A1C1x1x1A1E1C1E1x1x1P1R1H1R1x1x1(9)1(10)1(10)1(10)1x1x1x1x1x1x1(3)1(3)1(2)1(2)1(1)1(1)1x1x1x1x1x1x1H1C1A1E1R1P1&L-MATH=p7p1p1p1p8p1p1p1p8p1p1p1p8p1p1p1e8e1e1e1&SSF=42RR1UUURR1RRD1UURR1RRDD1RRDD&G=letter-weights&A=PinkHoodie&D=2024-12-15&F=1&O=Puzsq_Advent_2024_(Note_there_is_only_one_assignment_possible_but_8_ways_to_draw_it).&T=Cheer_Cheap_Racer_Reach
W=12x15&L=x0E1x1F1x1L1x1F1x1A1x1S1x1P1x1x1V1x1I1x1E1x1I1x1D1x1Q1x1U1x1x1A1x1R1x1T1x1F1x1V1x1U1x1Z1x1x1D1x1S1x1T1x1T1x1E1x1A1x1Z1x1x1E1x1T1x1E1x1E1x1N1x1R1x1L1x1x1D1x1(45)1x1R1x1E1x1T1x1E1x1E1x1x1(13)1x1x1x1(59)1x1N1x1(39)1x1(41)1x1(56)1x1x1x1x1x1x1x1x1(49)1x1x1x1x1x1x1x1x1x1x1x1x1x1x1x1x1x1x1x1x1x1x1(15)1(14)1(13)1(12)1(11)1(10)1(9)1(8)1(7)1(6)1(5)1(4)1(3)1(2)1(1)1x1x1x1x1x1x1x1x1x1x1x1x1x1x1x1Z1V1U1T1S1R1Q1P1N1L1I1F1E1D1A1&L-MATH=p15p2p2p2p2p2p2p17p2p2p2p2p2p2p17p2p2p2p2p2p2p17p2p2p2p2p2p2p17e2p2p2p2p2p2e17e4p2e2e2e2e23&SSF=135UUURR1UUUUUUURR1UUUUUUURR1UURR1DDDDRR1UURR1DDDDRR1RRD1DDDDRR1RRU1RRU1DDDDDDDDDDRR1UURR1RRD1RRD&G=letter-weights&A=PinkHoodie&D=2024-12-06&F=3&O=PuzSq_Advent_2024_Size_Series&T=12x15
W=9x7&L=x0x1F1F1B1C1C1x1x1A1E1A1A1A1x1x1B1D1D1B1F1x1x1(10)1(10)1(11)1(12)1E1x1x1x1x1x1x1(12)1x1x1x1x1x1x1x1(7)1(6)1(5)1(4)1(3)1(2)1(1)1x1x1x1x1x1x1x1F1E1D1x1C1B1A1&L-MATH=p8p1p1p1p1p9p1p1p1p1e9e1e1e1p1e13&SSF=42UUUUURR2RRD1RRU1RRDD1DDDDDRR1RR&G=letter-weights&A=PinkHoodie&D=2024-11-28&F=2&O=PuzSq_Advent_2024_Make_a_variant_15.1_(Redundant_Weights)&T=Excess
W=9x5&L=x0x1x1S1x1x1O1A1O1x1x1O1S1O1x1x1P1P1N1x1x1(7)1(8)1(10)1x1x1x1x1x1x1(5)1(4)1(3)1(2)1(1)1x1x1x1x1x1P1A1N1S1O1&L-MATH=p7p7p1p1p7p1p1e7e1e1&SSF=30UURR1RR1RRDD1RRU1RRD&G=letter-weights&A=PinkHoodie&D=2024-12-04&T=Upcoming
W=9x7&L=x0x1F1x1C1x1x1x1F1A1x1A1C1x1x1E1D1x1G1A1x1x1E1E1x1E1B1x1x1(11)1(10)1x1(19)1(13)1x1x1x1x1x1x1x1x1(7)1(6)1(5)1(4)1(3)1(2)1(1)1x1x1x1x1x1x1x1G1F1E1D1C1B1A1&L-MATH=p8p2p10p1p2p1p9p1p2p1e9e1e2e1&SSF=42RR1UUURR1UUURR1RRD1DDDRR1RRU1DDDRR&G=letter-weights&A=PinkHoodie&D=2024-11-21&T=Letter_Weights
## Variants
### ´´out-of-bounds´´
W=3x3&L=(1)0C1A1(2)1T2(3)2(4)1&L-MATH=g0d1p3e5&SSF=0UUR1RD1RRD&G=letter-weights&V=out-of-bounds&A=PInkHoodie&D=2024-12-05&F=1&O=Out_of_Bounds&T=Compression
### ´´math´´
V=math
W=8x7&L=x0x1x1x1x1x1(211)1x1x1x1x1x1x1C1x1x1x1x1x1x1(112)1(5)1x1x1x1(0)1x1B1(6)1x1A1x1(1)1x1(22)1(7)1x1B1x1(2)1x1A1(8)1x1C1x1(3)1x1(111)1(9)1x1x1x1(4)1x1A1&L-MATH=t12p13t13p13t13e13t13&SSF=28UU4DDR7DDR&G=letter-weights&V=math&A=PinkHoodie&D=2024-12-15&F=2&O=Puzsq_Advent_2024&T=Verbal_Arithmetic_(Parallel_Letter_Weights)
W=11x4&L=x0x1L1L1x1x1E1E1x1x1T1T1x1x1T1T1x1x1E1E1x1x1R1R1x1x1(13)1(13)1x1x1x1x1(4)1(3)1(2)1(1)1x1x1x1x1T1R1L1E1&L-MATH=p5p1p6p1m6p1p6p1t6p1e6e1&SSF=32RRU1RRU1RRU1DDDRR&G=letter-weights&V=math&A=PinkHoodie&D=2024-12-15&F=1&O=Puzsq_Advent_2024&T=Letter_Letter
## Acknowledgements and Changes
**2024-12-01** Many thanks to @PinkHoodie for making the [rule panels|../panels] for [Letter Weights] and for tracing its origins.
**2024-12-04** @PinkHoodie also made the cover image for [Letter Weights] and sent two puzzles for rollout - thank you!
**2024-12-05** A prescient comment by @PinkHoodie gave rise to the local ´´out-of-bounds´´ variant, which allows reusing letter or numbers from the equation to assign them with lines. Thanks @PinkHoodie for making a good example puzzle for it!
**2024-12-22** :::puzzletters @PinkHoodie shared 2 [letter-weights] puzzles using the ´´math´´ variant plus 4 additional classics (one parallel and one par tof the size series). Thank you!
**2025-01-04** :::puzzletters @PinkHoodie shared 1 [letter-weights] (classic) puzzle within the 16x6 theme.