Dudeney's columns in The Weekly Dispatch [with occasional notes of my own] P100 means puzzle number 100 S100 means solution number 100 * means a miscellaneous algebra problem (c) 2001 Donald E Knuth [but freely downloadable for personal use in research] ------------------------------------------------------------------------ 1896.04.19 P1 The box of sweets: * P2 The cricket puzzle: (need to know that sport) P3 A word square: 5x5 with rhymed clues P4 The coinage puzzle: 3x3 magic square filled with coins 1896.04.26 P5 Subtraction: mixed radix miles/furlongs/poles/yards/feet/inches P6 English towns: anagrams P7 Charade: like nigh-tin-gale / night-in-gale P8 The twelve hands puzzle: cyclic 111111111111->111111011211->101111011221-> 101011021221->201010021001->201000022221->200000022222 (always cross two) 1896.05.03 P9 The buried fishes: substrings P10 Numbered charade: 1-dimensional crossword puzzle P11 Missing words: all anagrams of each other (STEAM TAMES etc) P12 The "Dispatch" puzzle: 8-puzzle CAT/HID/PS -> DIS/PAT/CH in fewest moves S1, S2, S3, S4 1896.05.10 P13 Transformations: word ladders CAT->DOG, BOY->MAN, WOOD->COAL, LION->LAMB, HATE->LOVE, all possible in three steps; WARM->COLD, FISH->MEAT, MORE->LESS, FIRE->COLD, RIDE->WALK all possible in four steps P14 Charade: P15 A puzzling account: * from "Slocum-in-Mud" P16 The diagonal puzzle: bishop's tour, not twice thru a square in same dir S5, S6, S7, S8 1896.05.17 P17 A mystery: 13 people in 12 rooms P18 Word square: 4x4 P19 Anagrams: I HIRE PARSONS <-> PARISHIONERS P20 The peculiar prison: rook tour with even/odd twist S9, S10, S11 S12 in 28 moves: DISDITASDITASDIPHCDIPHCPAT 1896.05.24 P21 The seven cows: a trick question P22 Beheadings: DALE->ALE, etc P23 Missing words: all anagrams of STOP P24 A war drama: 3x3 magic word square S13, S14, S15, S16(with error corrected next week) 1896.05.31 P25 Addition: choose six of fifteen given numbers, obtain the sum 1111 P26 Palindromic words: DEIFIED etc P27 Buried cities: like P9 P28 Cycling puzzle: least common multiple S17, S18, S19, S20 1896.06.07 P29 A word square: 5x5 P30 The nines puzzle: four nines yield 100 P31 Charade: P32 The domino puzzle: 28 dominoes plus 01,02,12,11 -> magic square 8x8 S21, S22, S23, S24 [but S24 not visible in my copy] 1896.06.14 P33 Anagram: Henry Wadsworth Longfellow P34 The mouse and the corn: * P35 Numbered charade: P36 The four vases puzzle: * English coins S25, S26, S27, S28 1896.06.21 P37 Beheadings: P38 Word square: 5x5 P39 The mother and daughter: * P40 The lost poet: queen tour with turning points spelling a name S29, S30, S31, S32 "'Sphinx' is at present abroad" 1896.06.28 P41 How many eggs-actly?: * P42 Charade: P43 Missing words: P44 The clever snail: queen tour with fewest turnings, f3 to c6 S33, S34, S35, S36 1896.07.05 P45 Anagrams: NINE THUMPS <-> PUNISHMENT P46 Buried Christian names: P47 Word square: 6x6 P48 Five planets puzzle: five queens move to covering position S37, S38, S39, S40 1896.07.12 P49 Transformations: HARD->EASY in five; MAN->APE in six; BLACK->WHITE in eight P50 Charade: P51 Missing words: P52 Postage stamp puzzle: magic square 3x3 S41, S42, S43 S44 in 14 turnings (15 moves): f3 f4 d2 g2 g6 b1 h1 h8 a1 a8 g8 b3 b7 e7 c5 c6 1896.07.19 P53 An eggs-traordinary question: * P54 Word square: 5x5 P55 The men, some nuts, and a monkey: * P56 The Greek cross puzzle: dissect a cross into a square S45, S46, S47 S48 shows a 5-queen covering all on a diagonal 1896.07.26 P57 Anagrams: P58 A short cut: for 1+2+...+50 P59 Palindromes: in a short story P60 The frogs who would a-wooing go: 10 points in 5 lines of 4 S49 with also BLACK-BLANK-BLINK-CLINK-CHINK-CHINE-WHINE-WHITE in seven S50, S51, S52 1896.08.02 P61 Charade: P62 The Junior's shopping: * P63 Word square: 6x6 P64 Sphinx's English tour: Hamiltonian tour thru 20 vertices S53, S54, S55, S56 1896.08.09 P65 Missing words: P66 The menagerie: * P67 Numerical charade: 1x19 P68 The tower of Bramah: (aka Hanoi) S57, S58, S59, S60 1896.08.16 P69 More eggs!: trick question P70 An attack on "Sphinx": beheading P71 A puzzling legacy: * P72 The plantation puzzle: six in 6x6 with even parity in rows and cols S61, S62, S63, S64 1896.08.23 P73 The hogshead of sherry: P74 Charade: P75 Word square: 5x5 P76 A block for execution: cut 32x16x15 into max number of 10x6x5 pieces S65, S66, S67, S68 1896.08.30 P77 Elementary arithmetic: trick question P78 Charade: P79 The vocalists' fees: * P80 Frogs and flower-pots puzzle: two solutions to 8 queens with five in common S69, S70, S71, S72 1896.09.06 P81 A Sphinxian mystery: P82 Word square: 5x5 P83 A bad transaction: * P84 The map puzzle: coloring with fewest colors, plus a trick S73, S74, S75 S76 states that 25 blocks cannot be achieved 1896.09.13 P85 A puzzling fraction: * P86 Charade: P87 A queer relationship: trick of words P88 The cardboard puzzle: cut out a square avoiding holes S77, S78, S79, S80 1896.09.20 P89 Beheading: P90 A puzzle in reversals: mixed-radix subtraction from the left-right reverse P91 Missing words: P92 The frogs and the brook: AAAAA0BBBBB to 00000000000 in fewest moves; each move is by one or two, to a vacant cell S81, S82, S83, S84 1896.09.27 P93 Slightly involved: relationships P94 The picnic puzzle: * P95 Word square: 5x5 P96 Sphinx's portrait: 16 triangles to assemble into a square S85, S86, S87, S88 1896.10.04 P97 The hundred nuts: * P98 Charade: P99 A remarkable window: trick question P100 The hundred barrels problem: 10 queens S89, S90, S91 S92 in 50 moves 1896.10.11 P101 To be solved mentally: * P102 Charade: P103 A pedigree puzzle: relationships P104: The perplexed builder: maximum Eulerian subpath; 20 odd vertices present S93, S94, S95, S96 1896.10.18 P105 A queer transaction: * P106 Word square: 6x6 P107 A puzzling distribution: trick P108 The hat puzzle: ABABABABAB00 -> AAAAABBBBB or BBBBBAAAAA with 0s, always moving an adjacent pair of hats [In Strand 36(08)696 he credits this to P. G. Tait in 1884.] S97, S98, S99 S100 claims 724 different 10-queen solutions, 92 isomorphism classes 1896.10.25 P109 The orchard problem: * P110 A seven-letter word square: 7x7 P111 The curate's family: * P112 The Tudor constellation: 5-queen covers in shape of a T S101, S102, S103, S104 1896.11.01 P113 Charade: P114 The Junior's inventions: Chinese remainders P115 The oval problem: draw an ellipse with two compasses P116 The three purses puzzle: partition the multiset {8x0,8x1,8x2} into three multisets {1,1,2,2,2,0,0,0} or {1,1,1,2,2,0,0} S105, S106, S107 S108 in five moves using a "simple rule": A00BABABABBA -> AABBAB00ABBA -> AAB00BBAABBA -> AABBBBBAA00A -> 00BBBBBAAAAA 1896.11.08 P117 Beheadings: P118 A loan affair: * P119 Charade: P120 The guinea puzzle: 3x3 magic square S109 (will be corrected next week) S110 the 7x7 word square has two rare words S111, S112 1896.11.15 P121 Charade: P122 A charitable bequest: (will be clarified next week) P123 Another oval problem: draw an ellipse with nails and string P124 Sphinx Junior's latest: tower of Hanoi generalized to four pegs (10 discs) S113, S114, S115, S116 1896.11.22 P125 Curtailment: P126 The grocer and draper: * P127 The gas-pipe puzzle: bishop's tour on 6x6, allow re-entry but no crossing P128 The postage-stamps problem: Chinese remainders P122 restated --- partitions of 110 into 3s and 5s S117, S118, S119, S120 1896.11.29 P129, P130, P131, P132, P133, P134 a series of puzzles with lucifer matches P135 Word square: 5x5 S121, S122, S123 S124 in 49 moves 1896.12.06 P136, P137, P138, P139 more match puzzles S125 S126 (will be corrected later) S127, S128 1896.12.13 special Christmas supplement, page 6 PC1 The twelve mince pies: 12 points in six lines, 4 per line, in two ways PC2 Hearts and coronets: word scrambled = itself, so it has the pattern abcbdec PC3 Mathematical heads: * PC4 Carving the Scotch shortbread: 4x4 minus 2x2 corner tiled with L trominoes 1896.12.20 discussion of magic squares P140 Eight jolly gaol-birds: 8-puzzle, from 123/405/678 to magic square P141 All on the square: nested odd-order magic squares S129, S130, S131, S132, S133, S134, S135 1896.12.27 discussion of puzzles with money P142 a question of change: [Hoffmann's P4.107] P143 A problem in farthings: L12 12s 8d = 12128 farthings S136, S137, S138, S139 1897.01.03 P144 A new year's problem: Chinese remainder * P145 The arful gaol-birds: do P140 with the fewest moves S140, S141 1897.01.10 P146 An addition puzzle: make 10 from {1,2,3,4,5,6,7,8,9} P147 The Junior and the barrel: good way to test if a barrel is half full S142, S143, SC1, SC2, SC3, SC4 (the four Christmas puzzles) 1897.01.17 P148 A puzzle in apples: trick question P149 The shamrock puzzle: four simultaneous 8-queens sols on mutilated board S144 S145 either 5325764157641648327 or 4124167158156756427; he states that there are 8 magic squares, only 4 achievable, only 2 achievable in 19 moves [AM403 is an analogous problem but using the standard 15-puzzle] 1897.01.24 P150 A study in chocolate: pack 800 slabs 25x22x2 into hxhxd box with at most 12 slabs on edge P151 A puzzling division: * S146 notes that 4 9/18 + 5 16/72 = 10 S147 1897.01.31 P152 The farmer's daughters: an improvement on P148 but still tricky P153 Apples and oranges puzzle: Josephus clone S148 will be withheld; see S152 S149 notes that the filled cells make a nice symmetrical arrangement: 0x0xx0x0 x000000x 00xxxx00 x0x00x0x x0x00x0x 00xxxx00 x000000x 0x0xx0x0 1897.02.07 P154 The arithmetical cabby: Chinese remainders P155 The thistle puzzle: four 8-queens (cf P149); use no corners, all 4 centers S150 box is 200x200x22; needs 8 on edge S151 1897.02.14 P156 Nines and tens puzzle: another Josephus clone P157 A pile-driving puzzle: * S152, S153 1897.02.21 P158 The rose puzzle: six 8-queens solutions (cf P155) P159 An evasive answer: * P160 The printer's problem: compute the multiset union {J,a,n,u,a,r,y} \cup ... \cup {D,e,c,e,m,b,e,r} S154 S155 the pattern is symmetrical again: 00xxxx00 0xx00xx0 xx0000xx x00xx00x x00xx00x xx0000xx 0xx00xx0 00xxxx00 1897.02.28 P161 The Spanish miser's ruse: rook tour b1 to e3 with maximum turns S156 S157 (will be corrected next week) 1897.03.07 P162 The orchard problem: 10 points in 8x8 minus center 2x2, 5 lines of 4 S158, S159, S160 comment to Mr Lunn, a maximal independent set isn't necessary maximum 1897.03.14 S161 P163 The Persian tile puzzle: 5-queen cover avoiding the max rectangular area 1897.03.21 S162 has a pretty solution [how many ways are there with 10 pts, 5 lines of 4?] P164 The wily burglars: transporting with baskets, nice twist on river crossing (is identical to Hoffmann's earlier P4.28) 1897.03.28 S163 with 5x7 area open (two solutions) P165 The primrose puzzle: 8-letter word with pattern abcdedfb (similar to "hearts and coronets", unnumbered puzzle of 1896.12.13) 1897.04.04 S164 with a great comment by Bashin Billy P166 The harp puzzle: four 8-queens solutions avoiding 6 in corner (cf P158) 1897.04.11 S165 "ecstatic medicine cheereth derisive feminine regicide ..." P167 The magic strips: 7x7 strips to be dissected into latin square with diags 1897.04.18 S166 with pattern 0xxxx000 NB: no queens on the diagonals x0x0xx00 xx00x0x0 x0000xxx xxx0000x 0x0x00xx 00xx0x0x 000xxxx0 P168 The pedestal puzzle: volume of figure (computed via physics, not math) 1897.04.25 S167 turns out to be well known (to me anyway) from GF(7) ... pandiagonal P169 The dissected square: 4x4 magic square cut into four pieces, reassembled comment on P164: man down boy up' not allowed, as man is much heavier 1897.05.02 S168 P170 Gidsby's geese: * 1897.05.09 S169 P171 The bird, the bee, and the butterfly: connecting 3 in with 3 out 1897.05.16 S170 P172 The matches and coins puzzle: dissect 4x4 into 3 parts with certain edge constraints 1897.05.23 S171 P173 The torn number: * (x+y)^2=100x+y 1897.05.30 S172 P174 The temple of the ten genii: put together a 10-queens that was quartered 1897.06.06 S173 P175 A Graeco-Turkish problem: river crossing of 358 men 1897.06.13 S174 P176 The king and the castles: 10 points, 5 lines of 4, max pts totally inside 1897.06.20 S175 P177 The fleurs-de-lys puzzle: dissect one square into two, avoid certain pts 1897.06.27 S176 two are totally enclosed P178 The six-and-eight puzzle: 8 queens embedded in 10 queens with pcs of 6x6 1897.07.04 P177 is repeated and amplified, since nobody solved it P179 The sixteen stars: 16 points, max lines with 4 per line 1897.07.11 S178 says only the symmetrical 8-queen has an 8-diag and 7-diag both vacant P180 Out for a holiday: three men share two bags equally in 4+2+1 segments 1897.07.18 S177 S179 including {9,10,11,12,13,14,15}-line solutions P181 A multiplying magic square: 3x3 1897.07.25 S180 P182 The flower bed puzzle: how many ways to spell MADAM in given graph 1897.08.01 S181 P183 The royal portrait: Queen Victoria dissected and ... 1897.08.08 S182 P184 Such a getting upstairs: Chinese remainder with twist 1897.08.15 S183 P185 The miser's money bags: magic square 3x3 1897.08.22 S184 P186 Cherries and plums: 10 of each, five lines of 4, in 8x8 - 3x3 1897.08.29 S185 (which has 24190 solutions) P187 The figure block puzzle: select 5 independent blocks having a given sum 1897.09.05 S186 P188 The miraculous chessboard: 64=65 ascribed to French publication of 1700s 1897.09.12 S187 P189 The dispatch diamond: path counting (cf P182) 1897.09.19 S188 P190 The twelve aces: magic cross (12 vertices, seven groups of four) 1897.09.26 [now by Henry E Dudeney ("Sphinx"); previously was by "Sphinx"] S189 P191 The junior clerks' puzzle: * (salary increases) 1897.10.03 S190 (he says there are considerably more than 13824 solutions) P192 The incomprehensible puzzle: find a permutation of 16 cards 1897.10.10 S191 (but it is corrected next week) P193 The Mudville railway muddle: two trains (engine + 40 cars) passing each other; there's room for only 20 cars in each of two tracks 1897.10.17 S192 P194 A compound magic square: 10x10 as 5x5 composed with 2x2 1897.10.24 S193 P195 The broken coins: * 1897.10.31 S194 P196 The broken palings: make roman numerals with five sticks 1897.11.07 S195 P197 Pigs in pens: slightly magic square 3x3 1897.11.14 S196 includes roman numeral forms unknown to me P198 The ten counters: abcd x e = fghi x j, {a,...,j}={0,...9}, max and min 1897.11.21 P197 restated less ambiguously P199 A novel word square: 7x7 given in permuted form 1897.11.28 S198 also allowed abc x de = fgh x ij; 915 x 64 = 732 x 80 supposedly is max P200 Flies on the window panes: 9x9 queens, six agree with another solution 1897.12.05 S197 had 110 solutions S199 all seven words are common, given the British spelling SCEPTRE P201 The phonetic jumble: make rebus-like words such as XL 1897.12.12 S200, each of three queens moves only one square P202 The Red Death League: factorization 1897.12.19 special Christmas Crackers PC1 The scientific skater: cover 8x8 in straight lines and return to start; the starting point is outside PC2 The bag of nuts: * PC3 The Christmas party: relationships PC4 The Christmas dessert puzzle: 8-puzzle on cyclinder, shortest path to a latin square starting from CCA/MMA/ACM (first remove the last A) 1897.12.26 S201 includes LA, KN, QPDT, FEKC, OBCT S202 300737 farthings = 311 x 967 P203 The parish council election: how many ways to select at most 9 of 23 1898.01.02 SC2, SC3, SC4 P204 The alphabet puzzle: shortest sentence covering all 26 letters 1898.01.09 S203 P205 The scientific skater: repeat of SC1 from 1897.12.19 with clarifications 1898.01.16 S204 Blowzy frights vex and jump quick P206 The Klondyke Railway puzzle: bishop cover 1898.01.23 S205 in 14 steps [proved optimal by Selfridge in AMM 62(1955)443] P207 The match alphabet: make poem using only stick letters 1898.01.30 S206 says without proof that 8 are needed; doesn't separate into 4 white + 4 black (an easy proof exhibits 8 independent points) P208 A Canadian "corker": 5x7 analog of P20 1898.02.06 S207 P209 A puzzle for joiners: dovetail joints at right angles 1898.02.13 S208 P210 Next-door neighbours: * 1898.02.20 S209 P211 A conditional magic square: 4x4 with {1,5,13,15} in some line, 1 in corner 1898.02.27 S210 P212 The frolicsome knight: 7x7 knight path starting in center 1898.03.06 S211 P213 Change for a shilling: how many ways, and how many coins in all? 1898.03.13 S212 P214 The jovial huntsman: reentrant knight tour on 9x9 minus nine cells 1898.03.20 S213 P215 The boat race puzzle: choose 4 L's and 4 R's from {4xL,5xR,2x[LR]} 1898.03.27 S214 P216 A knotty question: dissection into Greek cross avoiding knots 1898.04.03 S215 P217 The "Dispatch" clocks: when will three clocks agree? 1898.04.10 S216 cooks his intended solution, which he will hold for later P218 The nine discs: max 3-letter words in 16 directed lines of 3x3 1898.04.17 S217 and reminds readers that 1900 will not be a leap year P219 Squares and digits puzzle: abc=def/2=ghi/3, {a,...,i}={1,...,9} 1898.04.24 S218 P220 The Grand Lama's problem: dissect 8x8 into 4 equal pieces, each one containing a designated square 1898.05.01 S219: 192,384,576; 219,438,657; 273,546,819; 327,654,981 P221 Wild duck shooting: rook tour a8 to g1, fewest moves if tenth is to e1 1898.05.08 S220 P222 The chessmen puzzle: how many automorphisms of the initial position? 1898.05.15 S221 P223 Muckleheap's oxen: * 1898.05.22 S222 P224 Ching-Ching's alphabet: make sentence given 26 initial letters 1898.05.29 S223 P225 Mrs. Perkins's patchwork quilt: 13x13 into fewest smaller squares 1898.06.05 S224 P226 A dividing magic square: 3x3, (a\b)\c constant in 16 ways, fewest digits 1898.06.12 S225 in 11 pieces: "practically only one solution", found by six people; eleven people found 12 pieces avoiding 1x1s P227 The linoleum draughts-board: cut a proper chessboard from irregular shape 1898.06.19 S226 also with a multiplying 3x3 with fewest digits; implicitly has a nice equivalence theorem between multiplying 3x3s and dividing 3x3s [namely, ABC/DEF/GHI is multiplying iff AHC/FED/GBI is dividing] P228 The witch's tour: longest possible distance in five queen moves from h5, never crossing the same cell twice 1898.06.26 S227 P228 revised: the witch should not cross her route 1898.07.03 discussion of Josephus-like problems; Christians/Turks version traced to Tartaglia P229 The American fleet: 21 ships in seven lines of 5; put them in more lines 1898.07.10 S228 P230 The palindromic sentence 1898.07.17 S229 puts 21 ships in 12 lines of 5 [4^2+4+1: GF(4) gives 21 lines of 5, if not required to be Euclidean] P231 The Cube-an problem: find rational solutions to x^3+y^3 = x+y, x>2y 1898.07.24 S230 Was it a rat I saw? P232 The cunning kangaroo: knight's tour on 5x10 1898.07.31 S231 smallest solution is x=8/7, y=3/7; infinitely many solutions from x=(t^2-1)/(t^2-t+1), y=(2t-1)/(t^2-t+1) P233 The Nelson puzzle: permutation 1898.08.07 S232 P234 The exchange puzzle: 3x4 permutation by fewest knight-move exchanges 1898.08.14 S233 (doesn't thrill me) P235 The southern cross: cover as much as possible of 9x9 with 5 queens 1898.08.21 S234 (I had misread the problem; he disallowed knight moves between pieces of the same color) P236 The copy-book puzzle: find a good sentence from {a,c,e,m,n,o,r,s,u,v,w,x} using each letter exactly twice 1898.08.28 S235 five queens can cover all of a 9x9 P237 The magic cube: 3x3x3 with sums 42 in 31 ways (not necessarily including the diagonals on the sides) 1898.09.04 S236 "Ox vans, we murmur, can vex cows." P238 The witches' dance: given 3 white queens on left half, 4 black on right, they should change sides of board --- moving in any order but never becoming en prise (thus, a curious graph on 7/8-queens solutions) [I think a 9x9 with four on each side would be more attractive, if I can find a symmetrical starting position within the main graph] 1898.09.11 S237 states that nxnxn cubes are possible for each n P239 The crazy carpenter of Canterbury: dissection of Aztec diamond into an isosceles right triangle 1898.09.18 S238 in 13 moves P240 The puzzle orchard: pack six different 10 points in 5 lines of 4' in 8x9 1898.09.25 S239 P241 The ten volumes puzzle: ab x cde = fghij with ab | cde, {a,...j}={0,...9} 1989.10.02 S240 P242 The giraffe puzzle: minimum knight cover of 8x8 1898.10.09 S241 27 x 594 = 16038 uniquely P243 A puzzle in heraldry: how many 4-subsets of the centered array 11+11+11+11+9+9+9+7+5+3+1 are corners of a square? 1898.10.16 S242 with 12 knights, says it is unique P244 The gouty giraffes: knight cover like P242 but not covering their own spot 1898.10.23 S243 is 575 P245 The lost statesman: select smallest subset of {D,Q,I,R,W,Z,S,Z,Y} that gives the nickname of a past English statesman 1898.10.30 S244 with 14 knights P246 The ten tents: in 5 lines of 4, with six of the ten on top or bottom edge 1898.11.06 S245 P247 Circling the squares: distinct integers a_0,...,a_9 such that a_i^2 + a_{i+1}^2 = a_{i+5}^2 + a_{i+6}^2, subscripts mod 10 1898.11.13 S136 P248 The adventurous snail: how long to climb over a wall if he slips at night 1898.11.20 S247 P249 The sixteen barrels of balsam: magic square 4x4 as close as possible to the given arrangement 1 2 3 4 / 5 6 7 8 / 9 10 11 12 / 13 14 15 0 1898.11.27 S248 P250 The lion and the man: two simultaneous rook tours as in P20 1898.12.04 S249 keeping five in place P251 The puzzling wall: construct shortest wall cutting poor folk off from lake 1898.12.11 "Christmas supplement" PC1 Cutting the cake: into five pieces, then making a Greek cross and a square PC2 The cancelled cheque: * PC3 Round the clock: Josephus-like problem with a huge increment at each step PC4 John the cellarer: using measures (3,5), obtain (2,2) from a barrel of wine 1898.12.18 S250, S251 P252 The thirty-six-letter puzzle: 6-queens graph with six colors, max subgraph 1898.12.25 discussion of Achilles and the tortoise P253 The reflected alphabet: best sentence reading the same reflected in water 1899.01.01 S252 there's only one 6-queen solution; greedy alg nonoptimal, can place 32 P254 Mrs. Coppings's carpet: dissect square into six subsquares of diff sizes 1899.01.08 S253 I DECIDED HE DID HIDE ODD DICE-BOX SC1, SC2 SC3 with increment 322 SC4 step 6: "John wickedly let the barrel run to waste" "Men saye yat ye lorde abbotte dyd forgyve Iohn ye waste of so goodlie wyne for yat he hadde so grete wit and subtletie withal" P255 The "Dispatch"-box puzzle: Eulerian with basically 4 odd vertices 1899.01.15 S254 P256 Noughts and crosses: is it a forced win? 1899.01.22 S255 uses trick of perspective P257 [misprinted 256] The ideal magic square: 8x8 with as many as possible numbers in their initial positions 1...64 Explains how to pronounce his name: "Three syllables, with accent on the first" 1899.01.29 S256 P258 The allotment puzzle: * 1899.02.05 S257 if we recast his solution using binary notation 000000 to 111111, in row uvw and col xyz he puts the number A(uvwxyz)^T, where A is the binary matrix 010101 and the matrix multiplication is mod 2 100101 111101 011010 011100 011111 [His description was of course quite different.] This gives only 16 in their home position, but it is "magic" in many generalized diagonals. To get 32 elements in home position, can use the matrix 111011 011011 001011 011011 A = 010011 = I + 011011 011111 011011 011001 011011 011010 011011 which is equivalent to complementing the entries in the pattern xx0000xx xx0000xx 00xxxx00 00xxxx00 00xxxx00 00xxxx00 xx0000xx xx0000xx He says he has no proof that 32 is optimum. [Of course it is the best one can get from a linear construction like this.] P259 The D.U.F.F.E.R. Company's engines: equivalent to an 8-puzzle 1899.02.12 S258 P260 The cow and the moon: dissect a cleverly drawn crescent into a square 1899.02.19 S259 P261 The squares of brocade: 8x8 + 6x6 into 10x10 matching the pattern 1899.02.26 S260 P262 The four frogs: cyclic W0W0B0B0 -> B0B0W0W0 disguised as knight's moves 1899.03.05 S261 P263 The soldiers of the queen: a x bc = def = gh x i, {a,...i} = {1,...,9} 1899.03.12 S262 "an ancient problem" whose simplicity is explained by "buttons and string" P264 Foxes and geese: with 3x4 knight moves, change G00F/G00F/G00F -> F00G/F00G/F00G never letting an F be a knight-move away from a G 1899.03.19 S263 four solutions, two essentially distinct: 2x78=156=39x4, 3x58=174=29x6 P265 The five vowels: make an 11-letter English word with sliding blocks 1899.03.26 S264 the 3x4 knight diagram can be simplified as in P262; he credits the Leeds Mercury for a related chess problem P266 Crosses and crescents: 8-queen solution using a2 but no corners/diagonals 1899.04.02 begins a special series of six "Mysteries of Scotland Yard" P267 The crime of the park murder: disjoint routes give clue to murderer [P267 through P272 were actually given the temporary numbers 1 through 6] S265 1899.04.09 S266 P268 The crime of the ruby brooch: jewels disappeared preserving local counts 1899.04.16 P269 The crime of the Bloomsbury burglary: can two white wazirs capture two black ones on a 5x8 board? [a wazir is intersection of king and rook] 1899.04.23 P270 The four elopements: river crossing of four couples with an island; boat holds 1 or 2 people; no women near a man unless her husband present 1899.04.30 P271 The trail of the smasher: given a planar graph with weighted vertices, find a simple path from s to t that has weight as close to 60 as possible 1899.05.07 P272 The Wapshaw's Wharf mystery: watch with hour-hand = minute-hand; also ab x cd = efgh, {e,f,g,h}={a,b,c,d} 1899.05.14 P273 The perplexed joiner: square plus triangle -> larger square 1899.05.21 he presents a knight's tour on the 6x8x8 surface of a cube, inspired by a rumor about Vandermonde [who actually made a 4x4x4 tour in 1771] P274 Farmer Lawrence's cornfields: 7x7 knight's tour, key points 12 moves away 1899.05.28 S273 P275 The towers and fortifications: 10 points in 5 lines of 4 [dual of P176] 1899.06.04 S267, S268, S269, S274; Bergholt one of the winners P276 The digital century: insert signs to make 1 2 3 4 5 6 7 8 9 = 100 1899.06.11 P277 A criminal's secret code: Caesar cipher to be decrypted S270 says the island is necessary for 4 or more couples; gives solution in 17 moves although "French and English mathematicians have declared that ... 24 are needed" S271 S272 says that 96 x 8745231 = 839542176 is largest product that contains all nine digits in its factors S275 1899.06.18 S276 has many answers, e.g. 123-4-5-6+8-9, (1+2-3-4)(5-6-7-8-9); the winner was 123-45-67+89 = 100 (charging 1 for -, 2 for + and x, etc.) P278 The ornamental magic square: 5x5 magic square = five 5-queen solutions 1899.06.25 S277 P279 Robinson Crusoe's tea-table: make square from two pieces, avoiding holes 1899.07.02 S278 P280 The two pedestals: find simple rationals such that x^3 + y^3 = 6 1899.07.09 S279 P281 The plumber's perplexity: maximum volume of rectangular tank open at top, given its surface area 1899.07.16 S280 (17/21)^3+(37/21)^3=6; remarks that (5/2)^3+(3/2)^3 = (8/3)^3+(1/3)^3=19; "the general solution eludes us", but one solution implies infinitely many P282 The star-spangled banner: how many ways for 5-queen cover all in one line? 1899.07.23 S281 P283 Pat in the Far East: Josephus with large skips 1899.07.30 S282 four essentially different possibilities; 8+4+4+4=20 different P284 The silver coins [beginning a series of "easy puzzles for beginners"]: making change 1899.08.06 S283 P285 The eleven bears: 11 points in as many lines of 4 as possible 1899.08.13 S284 P286 The bat puzzle: incredibly easy --- the trick is: there is no trick 1899.08.20 S285 P287 The learned pig: round-the-circle solitaire looking for equality 1899.08.27 S286 P288 A Dreyfus puzzle: divide a certain 4-gon into four congruent pieces 1899.09.03 S287 says it's similar to a "mouse-trap puzzle" considered by others P289 The gable puzzle: how far do snails crawl? 1899.09.10 S288 P290 The antiquary's chain: count the ways to weld certain links together 1899.09.17 S289 P291 A bun puzzle: divide three buns into four equal parts 1899.09.24 S290 surprizes galore in this answer P292 A philological recreation: explain Dreyfus case in 10 words of same length 1899.10.01 S291 very questionable reduction to 2 dimensions; also misleading data P293 The Johannesburg hotel: eccentric distribution on 3x3 frames, with sums to be the same on each side even when more patrons are accommodated [similar to classical puzzle called Bachet's wine bins; cf Hoffmann's P6.10] 1899.10.08 S292 "Dreyfus, grossly wronged, through foulest perjury defamed, rightly demands justice." "Too bad for our age, and the end too sad." "France's inhuman conduct towards Captain Dreyfus excites British intense disgust." P294 The frog's tour: knight's tour that divides in 3x4+3x4+4x5+4x5 segments P295 The magic knight's tour: all rows and cols of his square add to 260, and the two diagonals together sum to 520; is full perfection possible? 1899.10.15 S293 P296 The flag of the shamrock: dissect 5x5 into 4x4 and 3x3 preserving the checker pattern 1899.10.22 S294 P297 The "Dispatch" yacht race: hit 8x8 points in fewest straight segments, a4->h2, always staying in bounds 1899.10.29 S296 P298 A Transvaal war problem: smallest n with exactly 64 divisors 1899.11.05 S297 uses 14 lines, some of slope 1/2 P299 the four fours problem: all numbers up to 100 via four 4s and arith signs 1899.11.12 S298 P300 The square of veneer: dissect 5x5 into smaller squares, cutting no grid pt 1899.11.19 S299 "I cannot give all the hundred solutions, as they form very awkward matter to set up in print." The hardest for him were 67, 71, 73, 83, 89; he used factorials, roots, decimal points, repeated decimals; next week he cites 73 = (\sqrt4 \cdot 4! + \sqrt{.\dot4})/\sqrt{.\dot4} = 3/2 (48 + 2/3) P301 The Natal pickets: 5 queen covers with max solutions holding 4 fixed 1899.11.26 S300 P302 The dispatch rider: * 1899.12.03 S301 several ways to cover 62 with 4 queens; best is c4 c8 g3 h7, leaving a1 b2 P303 Mrs. Hobson's hearthrug: make square from a certain hexagon 1899.12.10 S302 P304 Portrait competition: make a celebrity portrait with 21 straight segments 1899.12.17 S303 P305 Logosticks: put {A,B,...,P} into 4x4, spelling as many words as possible 1899.12.24 P306 The capture of Pretoria: given a network with army divisions at 10 designated vertices, find routes of approximately equal distance to another designated vertex 1899.12.31 S304 P307 The bicycle race: * He is pleased with the profile of his work recently published in The Captain 1900.01.07 S305 The magic knight's tour (P295) still unsolved; prize extended three more months P308 The Boer's wife and the pigs: 21 pigs in four styes, where each sty holds 4k+1 pigs for distinct positive values of k 1900.01.14 S306, S307 P309 The troublesome telephones: make 8 queens to cover the fewest squares 1900.01.21 S308 nested styes, e.g. ((((9)4)4)4); he overlooks the case (((5)(9)3)4) P310 The mystic nine: express numbers 1 to 50 using the fewest 9s (cf P30) 1900.01.28 S309 place queens at c1 c2 c3 g2 g3 h1 h2 h3; this frees the eleven cells a7 a6 a5 b6 b5 b4 e8 e7 f8 f7 f6 P311 The abbey alms-box: square minus a 1x24 slot dissected into squares of different sizes 1900.02.04 S310 he disallows (\sqrt9)! for completely illogical reasons; also, he fails to express 38, 41, 43, ... with fewer than five 9s P312 Central solitaire: jump 33 pegs, end in center; fewest multijump moves 1900.02.11 S311 he believes (falsely) that the only solution is the following, found by himself and two readers for a 48x48 square (reading top to bottom): 16x16, 19x19, 13x13, 6x6, 7x7, 12x12, 4x4, 1x24, 1x1, 8x8, 28x28, 20x20 P313 Two men in a trench: riddle 1900.02.18 S312 in 19 moves: 19-17, 16-18, 29-17-19, 30-18, 27-25, 22-24-26, 31-23, 4-16-28, 7-9, 10-8, 12-10, 3-11, 18-6, 1-3-11, 13-27-25, 21-7-9, 33-31-23, 10-8-22-24-26-12-10, 5-17 P314 Cupid's darts: cut a heart with five straight line cuts into max pieces 1900.02.25 S313 his answer is horrible, but some correspondents had passable solutions P315 The hunting of the rat: path counting like P182, using palindrome S230 1900.03.04 S314 the depression can act almost like a 6th cut, so we can get 21 P316 The eighteen dominoes: choose 18 to make magic square with largest sum; he shows example of the smallest sum (13) 1900.03.11 S315 (surprisingly few readers succeeded) P317 Lord Roberts's army: noting that 130 = 11^2+3^2 = 7^2+9^2, he asks for the least number expressible as sum of squares in just 12 different ways 1900.03.18 S316 yes he does describe the obvious (complementary) solution P318 Prisoners in Pretoria: 15-puzzle move to a 4x4 knight's path of length 15; keep as many men as possible in place, then use the fewest moves 1900.03.25 S317 explains something of Fermat-Gaussian factors, derives correct answer 5x5x13x17x29; three readers suggested 5x5x13x13x17x17, but he says this can be expressed in 13 ways [actually 14, with (5x13x17)^2 + 0^2] P319 Three squares puzzle: dissect a square into fewest pieces to assemble three equal squares 1900.04.01 S318 only 40 of the 80 possible knight's paths have the correct parity; only 4 of those are attainable with two knights unmoved; we're left with a 13-puzzle, and he gives a 66-move solution. "I cannot state positively that there is not a shorter way." P320 The gardener and the cook: * 1900.04.08 S319 six pieces, improving on seven in previous puzzle books P321 Don Manuel's doubloons: any two of {a-d,a,a+d} sum to perfect square S295 a magic knight's tour now seems impossible but he sees no way to prove it 1900.04.15 P320 is still not solved, is carried over P322 The Easter egg problem: solve a^3+b^3+c^3 = 27 in positive rational a,b,c 1900.04.22 S321 says the smallest answer is 482, 3362, 6242 P323 The price of pies: * 1900.04.29 S320 trick of sexist pronouns fooled people S322 simplest solutions are 27 = (3/2)^3+2^3+(5/2)^3 = (8/3)^3+2^3+(1/3)^3 P324 Flies on the wall paper: 16 points on 8x8, no three in a line 1900.05.06 S321 P325 The mandarin's puzzle: 24-puzzle by knight moves, very like an 8-puzzle: 16 01 11 (03) 13 02 (03) 04 22 (06)(07)(08)(09) 21 05 (06)(07)(08)(09) 10 19 (12) 04 (14)(15) --> 11 (12) 13 (14)(15) 05 (17)(18) 02 (20) 01 16 (17)(18) 19 (20) 21 10 (23)(24) 22 (23)(24) 00 00 1900.05.13 S324 many solutions but easiest is [ab][56] [cd][12] [ef][78] [gh][34] P326 Round the mulberry bush: 13 children in 6 rings, each pair adjacent once 1900.05.20 S325 32 moves needed if all parenthesized points untouched [corrected to 34, perhaps, on 1900.06.03]; 30 moves is however possible otherwise P327 The broken triangle: < 12 pieces yield 1, 2, or 3, equilateral triangles 1900.05.27 S326 powers of a 13-cycle cover K13 with six cycles; he claims to have a pretty method for the nonprime cases P328 The Mafeking cheeses: 1111111111111111 -> ...4...4...4...4... where each move passes over four points 1900.06.03 S327 five pieces actually suffice P329 Alphabetical solitaire: on the old (French) 37-cell peg solitaire board, leave pegs in the shape of a letter W 1900.06.10 S328 P330 The tethered goat: * 1900.06.17 S329 6-19, 10-12, 24-10, 36-24, 19-6, 21-19, 28-26, 8-21, 4-17, 1-11-25-27, 7-5, 3-1-11, 24-10-12-14-28-26, 35-25-27, 33-31, 37-35-25 x x leaves a fine x x x x x x x x x P331 Golf made easy: find stroke lengths a,b so that {8, 9, ..., 16} expressible as sum/differences of fewest total strokes 1900.06.24 S330 P332 Tom Tiddler's ground: how many ways to put 12 nonattacking bishops on 7x7? 1900.07.01 S331 using 4 and 5 leads to 26 strokes total P333 The battle of Hastings: solve the Pell equation 61x^2 + 1 = y^2 1900.07.08 S332 states general solution 2^n and proves it carefully in the case n=7 P334 Samuel's savings: generalize "L66 6s 6d = 15918d and 6+6+6+6 = 1+5+9+1+8" 1900.07.15 S334 smallest x is 226153980 P335 The grocer's weights: Bachet's classic problem 1900.07.22 S334 only two other solutions P336 The baskets of plums: 3x3 magic square of distinct primes 1900.07.29 S336 P337 The Pekin carpet: 5-queen cover, with 3 consecutive rows/columns unused 1900.08.05 S336 P338 The postmark puzzle: a probability problem from America 1900.08.12 S337 P339 Cutting on the cross: dissect Greek cross into two Greek crosses 1900.08.19 S338 points out that there is insufficient data P340 The five tea tins: count arrangements of 5 cubes in peculiar way 1900.08.26 S339 with five pieces [AM p30 improves this only four!] P341 A Brighton mystery: was Mr. Potts walking with the lady? 1900.09.02 S340 P342 A Southend mystery: can you make the portrait resemble the baby? 1900.09.09 S341 P343 A Clacton mystery: where is the fair Gwendoline? 1900.09.16 S342 [not visible on my copy] P344 A Ramgate mystery: how would you put this sea serpent together? 1900.09.23 S343 P345 A Herne Bay mystery: can you place the men in the boats? (the Kirkman schoolgirl problem with a new twist) 1900.09.30 S344 in part, leaving another puzzle unanswered (*) P346 A Blackpool mystery: can you find each lady's skirt? 1900.10.07 S345 (he explains the new twist in not to A.M.J. on 1900.10.21) P347 The grasshopper puzzle: cyclic aAAAAA0BBBBBb to bBBBBB0AAAAAa 1900.10.14 P348 The stonemason's problem: a^3 + (a+1)^3 + ... + (a+k)^3 = b^2, a>1, k>2 1900.10.21 S346 and the remainder of S344 S347 for n in general the minimum number of moves is n^2+4n+2 P349 The mystic eleven: max nine-digit number and its reversal both divisible by 11, all digits distinct 1900.10.28 S348 25^3+...+29^3 = 315^3, but there's a better solution 14^3+...+25^3 = 312^3 P350 A study in thrift: n = square = triangular number 1900.11.04 S349 987652413; "reversal" was a joke P351 The twopenny tube: Hamiltonian path A to A visiting C as late as possible 1900.11.11 S350 P352 A Tokio prisoner: make regular 4-sided figures from 8 colored triangles 1900.11.18 S351 says his diagram can be put into symmetrical form that no reader noticed P353 The five twinklers: make a good W from a 5-queen cover 1900.11.25 S352 P354 The mysterious park: explain why Manhattan distance doesn't converge to Euclidean distance 1900.12.02 S353 P355 The philologist's puzzle: find a Hamiltonian path that spells a sentence 1900.12.09 S354 P356 Four baskets of nuts: count partitions of 9999 into at most four parts 1900.12.16 S355 WE OFFER A WEEKLY PRIZE OF HALF A GUINEA The Rebuke of the King: a fable about awarding prizes P357 A dream of square numbers: largest square number with digits {1,...,9} 1900.12.23 Christmas puzzle crackers P358 Mince pies: is a random positive number of marbles drawn from a bag more likely to be even or odd? P359 The flying machine: * P360 The Christmas pudding: riddle P361 Scotch shortbread: dissect 20-square pinwheel into \sqrt5 x \sqrt5 squares P362 Puss in the corner: a board game 1900.12.30 S357 max is 923187456, min is 139854276 P363 The nine treasure boxes: nine squares in three equally spaced progressions 1901.01.06 "a brief retrospect of the puzzles of the century that has just come to a close" ... "the new style first took definite form in Tit Bits, 1896--1898" P364 The century puzzle: choose 6 points of 10x10, even number in each row/col 1901.01.13 S358 (odd), S359, S360, S361, S362 P363 further clarified, solution will be deferred P365 The Christmas travellers: * 1901.01.20 S364 P366 Solitaire dominoes: find the largest score possible with 28 dominoes 1901.01.27 S363, S365 P367 The Yorkshire estates: * 1901.02.03 S366 will be deferred until somebody reaches 200; he had published this puzzle first in Tit Bits 1897, with best score 195, but repeated it because he now knows a better solution P368 In a royal garden: traverse all paths in certain maze with fewest turns 1901.02.10 S367 P369 In memoriam: dissect a St Andrews cross (marked V.R.) to form either two equal Greek crosses or a square [cf T27] 1901.02.17 S368, S366 P370 The four kangaroos: four disjoint knight cycles of length 16 1901.02.24 S369 P371 The Siberian dungeons puzzle: move 16 men into magic square position 1901.03.03 S370 he has reflective symmetry in 4x8, not 90-deg symmetry in 8x8 P372 Fifteen letter puzzle: Steiner triple system on 15 letters, containing as many common English words as possible 1901.03.10 S371 a reader found 15-move solution, Dudeney's was 16; next week gives that reader's improvement to 14, which is probably minimum P373 The eight bridges: variation of Euler's K\"onigsberg bridge problem 1901.03.17 S372 can make 27 words with letters A E I O U Y B C G L M N P R T P374 The garden walls: build three walls of same length, enclosing four fields of equal area 1901.03.24 S373 Euler himself overlooked the fact the river has a source P375 A knot in wood: make largest square from given irregular shape 1901.03.31 S374 P376 On the line: use {1,2,...,9} to form 1/2, 1/3, 1/4, ..., 1/9 1901.04.07 S373 P377 The Easter egg: pack small eggs on large one (edges in two dimensions) 1901.04.14 S374 smallest numerators are 6729/13458, 5823/17469, 3942/15768, 2697/13485, 2943/17658, 2394/16758, 3187/25496, 6381/57429 P378 The thirty-two labels: a weighted variant of P252 1901.04.21 S377 it was another April Fool P379 A queer coincidence: * 1901.04.28 S378 P380 The buried treasure: * 1901.05.05 S379 P381 The great monad: three easy questions based on the yin/yang symbol 1901.05.12 S380 P382 The coloured cubes: from 9 cubes with faces of 6 colors, make 2x2x2 from 8 1901.05.19 S381 P383 The floral problem: a sort of a magic hexagon (19 points, 12 lines of 3) 1901.05.26 S382 P384 The voyage of the SS. Dispatch: similar to P165 1901.06.02 S383 P385 The changed ace: dissect a heart into a spade 1901.06.09 S384 ascribes basic idea to J\'erome Sharp of Brussels in 1789 P386 The "Dispatch" centenary puzzle: generalize 100 = 91+5742/638, {1,...,9} 1901.06.16 S385 P387 The rose garden: * 1901.06.23 S386 confident that there are only eleven answers, of which the most surprising is 3+69258/714; a nice analysis shows for example that 98+b/c is impossible by casting out 9s (if digits of c sum to x, then digits of b sum to 2x, so x+2x+8+9 == 0 mod 9) P388 A Boer surprise: fewest points in 16 lines of 3 (with amusing patter) 1901.06.30 S387 P389 The five brigands: 200 = A+B+C+2D+3E = 12A+3B+C+D+E in nonneg integers 1901.07.07 S388 [Note that he credits this 11-point arrangement to Wilkinson in Z08.41] P390 Boys and girls: like P108 but swapping the pairs as they move; requires the two vacant positions to end up at extreme left or right 1901.07.14 S389 has 6627 solutions P391 The arbour table: dissect a square into a regular hexagon 1901.07.21 S390 although P108 (generalized to n hats) can always be done in n steps, he claims the new problem requires n+1; he has not succeeded in proving a general upper bound, but when n=4 a 5-move solution is 00ABABABAB->BAAB00ABAB->BAABABA00B->BAABA00ABB->B00BAAAABB->BBBBAAAA00 P392 The fifteen dominoes: 00 to 44, how many ways to line them up properly? [equivalent to counting Eulerian paths on K5 plus loops] 1901.07.28 S391 in five pieces; but see corrections below (1901.08.11) [Also, Mealy has pointed out prior discovery by Busschop in 1875] P393 The panjandrum puzzle: make a latin rectangle of six-letter words 1901.08.04 S392 126720; he will reveal the answer for full set 00 to 66 later P394 The fly and the triangle: count near-Eulerian paths 1901.08.11 S393 nobody got more than 3x6, so he now thinks the puzzle was a bad idea P395 A case of "pi": fewest exchanges to achieve a given permutation 1901.08.18 S394 is equivalent to part of S392! P396 The tiring irons: Chinese ring puzzle (he cites Cardan 1550, Wallis 1693) 1901.08.25 S395 yes, he discovered the cycle principle [published by Cayley in 1849] P397 The two horseshoes: dissect them into a circle via four different pieces he states in a note that there are exactly 8x880 magic squares using {1,...,16} 1901.09.01 S396 he converts to binary and then essentially to Gray code; no citations P398 A dissected magic square: go from standard order to magic (upside down OK) 1901.09.08 S397 relates to yin/yang he also states 7959229931520 domino paths on the full set of 28 (see S392) P399 The kennel puzzle: like P371 (but 4x5 knight tour instead of 4x4 magic sq) 1901.09.15 S398 his best has only seven pieces! P400 On buying apples: * 1901.09.22 S399 P401 The millionaire's perplexity: convert 1000000 to radix 7 1901.09.29 S400 P402 The greyhound puzzle: count 4x5 knight's tours from corner to opposite 1901.10.06 S401 P403 Domestic economy: * 1901.10.13 S402 P404 Sir Hedron's travels: shortest Chinese postman path on icosahedron 1901.10.20 S403 P405 A new linoleum puzzle: make 13x13 from checkered 12x12 and 5x5 1901.10.27 S404 P406 Sir Ralph de Fitzwalter: sum abcd over all distinct a,b,c,d in {1,...,9} 1901.11.03 S405 P407 No-blank domino squares: 6x6 magic square from 18 of 21 dominoes 11 to 66 1901.11.10 S406 [problem had been considered by Bhaskara in middle ages] P408 Lion hunting: count pairs of cells on 9x9 not bishop's move apart 1901.11.17 S407 P409 Dominoes in progression: play six dominoes with scores rising by constant 1901.11.24 S408 5664 = 81x80 - 816 P410 The clown puzzle: generalize 24 x 651 = 15624 1901.12.01 S409 P411 Points and lines: pack distinct sets of 10 pts, 5 lines of 4, into 14x14 1901.12.08 S410 has 22 solutions, e.g. 57 x 834 = 47538 P412 The excursion ticket puzzle: making change for 19s 9d 1901.12.15 "Some easy Christmas puzzles" P413 The perplexed hairdresser: pigeon hole principle P414 Queer arithmetic: trick P415 Drawing a spiral: how to do it perfectly with two compasses P416 Sempronius and the corn: * P417 Jack and the beanstalk: find serious blunder in illustration P418 The bad boy: another such blunder P419 Crossing the bridge: avoid a self-reference paradox P420 The Christmas lucky bag: probability P421 Cats and rats: * P422 Edwin and Angelina: * P423 Christmas shopping: maximum edges covered by 16 rooks moves on 8x8 P424 A reminiscence: 15-puzzle 1234/5678/9abc/dfe0 -> 0123/4567/89ab/cdef 1901.12.22 S411 admirably displays his repertoire of 10-point 5-line configurations S412 essentially computes the coefficient of z^(19x48+9x4) in the power series 1/((1-z)(1-z^2)(1-z^4)(1-z^12)(1-z^24)(1-z^48)(1-z^96) (1-z^120)(1-z^192)(1-z^240)(1-z^480)(1-z^960)); the answer (458908622) is correct, as is his table of ways to make change for pennies, florins, crowns, etc. P425 The heraldic ribbon: based on decimal representation of 1/17 1901.12.29 an essay on the solving of puzzles P426 The Christmas tree ornament: count Eulerian paths on octahedron [cf P404] 1902.01.05 S425 nice discussion; uses 1/47, admits a small chance of shorter solution P427 Under the veil: place four 8-queen solutions to make four-letter words 1902.01.12 S413, S414 S415 is misleading, it does NOT give a perfect spiral; discontinuous curvature does fool the eye though S416, S417, S418, S419, S420, S421, S422 S423 a4 h4 h5 a5 a3 g3 g6 b6 b2 f2 f7 c7 c1 e1 e8 d8 d1 gives the maximum, 70 S424 in 44 moves: ebc876ac874364784a59c48ebfdc48ebfea594895621; "I am convinced that it cannot be done in fewer moves" S426 he has a method too hard to explain that gives 1488 after 5 minutes' work P428 The Christmas pudding: * he warns two competitors to stop their improper collusion or he will name them 1902.01.19 S427 asks readers to confirm optimality (see below) P429 The clock puzzle: how often the two hands change places in [3pm..midnight] 1902.01.26 S428 P90 repeated by popular request P430 The sharpshooters puzzle: Kayles with 1+11 pins 1902.02.02 (he does not remark on the date) S429 P431 The motor-car puzzle: count Hamiltonian cycles on a certain planar 3-regular graph 1902.02.09 S430 P432 Papa's puzzle: center of gravity [puzzle named after Pappus] 1902.02.16 S431 redraws the graph making its automorphisms plain P433 The two constellations: each of ten stars, 5 lines of 4, one enclosed in the other without crossing any lines 1902.02.23 S432 P434 The circular railway: sliding or jumping on a circle, move to spell a word 1902.03.02 S433 he succeeds on 12x14 but isn't absolutely sure it is optimum he urges Irish readers to score better P435 The flagstaff puzzle: smallest square that's diff of squares in k ways 1902.03.09 S434 P436 The "Dispatch" tiles: max 8-partite subgraph of 8x8 queens graph minus c6 1902.03.16 S427 was completed exhaustively by readers P437 The compasses puzzle: bisect a line with compasses only 1902.03.23 S435, S436 P438 The great chain puzzle: cut linked pieces from a piece of cardboard 1902.03.30 S437 P439 An Easter egg puzzle: Chinese remainders with a cross twist note "Thanks for the cutting. I had already read an account of Major MacMahon's lecture at the Royal Institute. He set his hearers an impossible task ..." [orthogonal 6x6 latin squares] 1902.04.06 S438 trick is to split the inside of the cardboard; cites Kind Words 1866 P440 The triangle and square: dissect equilateral triangle into perfect square 1902.04.13 S439 P441 The four porkers: 4 nonattacking queens in 6x6 cover all 1902.04.20 S440 is announced ("four pieces ... one of the most interesting, if not important, of the over four hundred problems that have appeared in these columns") but held over discussion of magic squares; Fr\'enicle in 17th century showed there are 880 of size 4x4; Dudeney knows 346752 and 567705600 special ones of sizes 5x5, 6x6 P442 The magic square and cross: 7x7 magic square containing 3x3 and 4x4 magic subsquares 1902.04.27 S441 has 7 nonisomorphic solutions P443 The three sheep: like P441 but with 3 nonattacking queens covering a 4x4 1902.05.04 S442 S440 (key is to pack the three 60-degree angles into 180) P444 The twenty sandwich-men: count 2x10 Young tableaux MacMahon's lecture reported in Nature, 13 March 1902; related letter 3 April 1902.05.11 S443 P445 The four princes puzzle: [printed erroneously as "three princes"] find four integer-sided right triangles of equal area 1902.05.18 S444 states the general solution for 2xn is Catalan number, but gives no proof P446 The sabbath puzzle: how can Christian, Jew, Turk all celebrate the sabbath in the same time and place 1902.05.25 S445 part one: sides of integer right triangle are u^2-v^2, 2uv, u^2+v^2 Canterbury puzzles just beginning in Harmsworth London Magazine P447 The reeve's puzzle [slighted extended from its form in that series]: 4-peg tower of Hanoi with 36 discs [cf P124] 1902.06.01 S446 two of them must travel around the world, as in Poe and Verne stories P448 Painting a pyramid: nonisomorphic ways to color the faces of a tetrahedron with a 7-color palette, mirror images not isomorphic 1902.06.08 S445 part two; a reader traced this problem to Frenicle P449 The peace puzzle: sentence whose words begin PEACE WITH HONOR 1902.06.15 S447 unrigorous claim that 1793 moves are needed; considers general n also S448 four colors, 2 ways; three colors, 3 ways; two colors, 3 ways P450 Pasteboard patience: assemble 15 pieces into a square 1902.06.22 S449 P451 A coronation puzzle: dot-to-dot, find a crown hidden among stars 1902.06.29 S450 P452 More pasteboard patience: with the pieces of P450, form a right triangle 1902.07.06 S451 a discussion of prime numbers P453 A magic square of composites: consecutive composites make magic 3x3 and if this is too easy, try for magic square with 16 primes 1902.07.13 S452 magic squares of primes much easier than he thought; now he asks for 16 primes <100, and also for a 5x5 P454 A new floral variety: like P383 but 1 and 18 are not adjacent 1902.07.20 S453; its extension is held over; he now has 6x6 and 7x7 prime magic squares P455 A Bisley puzzle: maximum points in unit square, at least 3/17 apart 1902.07.27 S454 P456 Church and state: 4 queens cover 62 squares including all four borders he says "Of course 1 is a prime number ... I have often wondered why it is generally omitted from the tables"! 1902.08.03 S455 he gets 44, but it doesn't look optimum his prime' magic squares 4x4, 5x5 flawed by appearance of 1 P457 A cow's progeny: Fibonacci's rabbit problem 1902.08.10 S456 he thinks the only solution is a2 d8 g5 h1, omitting b4 c3 P458 Chinese money: making change 1902.08.17 S457 P459 The thirty-one puzzle: game looks simple but has traps 1902.08.24 S458 P460 The table-top and stools: dissect circle into two oval-shaped pieces 1902.08.31 S459 P461 The knight's banners: on Greek cross 4x4+12x4+4x4 he proposes knight's tour (but curiously he doesn't ask for a reentrant one) 1902.09.07 S460 P462 The key to the Greek cross: all ways to dissect into four pieces and make a square 1902.09.14 S461 still doesn't address the question of reentrancy P463 Concerning a cheque: * 1902.09.21 S462 infinitely many solutions, but doesn't show that he has exhausted them P464 Napoleon's puzzle: tangrams 1902.09.28 S463 P465 The Burmese plantation: 22 points in 7x7 with the most lines of 4 1902.10.05 S464 P466 The smugglers' wine: divide equally some wine and bottles 1902.10.12 S465 with 21 lines P467 The motor-car tax: factor 11111111111 1902.10.19 S466 P468 A reversible magic square: turn a 4x4 upside down (2 or 4 <-> 7, 6 <-> 9) 1902.10.26 S467 P469 Choo-Chum's railway engine: more non-math tangram cuteness 1902.11.02 S468 use orthogonal latin squares [but I think 1 6 8 9 would look much better than his 2s and 7s, also they would produce the _same_ sum upside down] P470 The cross and the triangle: dissect Greek cross into equilateral triangle 1902.11.09 S469 P471 The mandarin's railway: counting simple paths 1902.11.16 S470 he believes six pieces is minimum P472 Daddy Dick's digits: 50 = 37+2548/196 with {1,...,9} [cf P386]; how about representing the numbers 13, 14, 15, 16, 18, 20, 27, 36, 40, 69, 72, 94? 1902.11.23 S471 P473 The Chinese cross: a six-piece burr ("very ancient") 1902.11.30 S472 he thinks 15 and 18 impossible, except as 0+b/c; 1,2,3,4 are obviously impossible; 16, 20, and 27 seem to have unique solutions P474 Domino quadrilles: arrange 28 dominoes in 10+10+8+8+10+10 making 14 single-valued 2x2s 1902.12.07 S473 P475 Casting the die: probability of exactly one 1 in four throws 1902.12.14 S474 discussion of Nine Men's Morris P476 Ovid's game: a simpler variant mentioned by Ovid, but with only three men 1902.12.21 Christmas puzzle crackers P477 A Christmas card: rebus P478 The perplexed traveller: explain too-too-too-too-too-too, faw-faw-...-faw P479 Dissecting the Christmas pudding: divide circle into 6 equal-shaped pieces, each piece containing exactly 6 plums P480 A conundrum: why is the dog in the picture like a housekeeper? P481 A Yuletide tryst: * P482 The maze: counting simple paths [is P471 in disguise] S475 1902.12.28 S476 forced win for first player, but becomes subtle and interesting if the first player is not allowed to play in the center P483 Multiplying magics: fewest figures, using any scale of notation [cf P226] 1903.01.04 discussion of scales of notation P484 The square, cross, and circle: as viewed from three different directions 1903.01.11 S477, S478, S479 [puzzle badly printed hence discarded], S480, S481, S482 S483 (with superfluous diagram G, see next week) P485 The seven hats: probability that a random perm of BBBWWWW is BxxxxxB 1903.01.18 S484 P486 The four sons: L-tromino dissected in four equal parts all touching center 1903.01.25 S485 P487 Farmer Wurzel's estate: calculate area of a certain hexagon 1903.02.01 S486 P488 Magic squares of two degrees: the sum of the squares also is constant 1903.02.08 S487 nicely explained (although Pick's theorem would be easier) P489 The dishonest butler: barrel of wine gradually diluted 1903.02.15 S488 he is close, and cites a mysterious French reference to "M. Pfeffermann" P490 Find the tree: another variant of P165 1903.02.22 S489 S488 he how has it, but will give readers more time P491 A puzzle of old Newgate: 8-puzzle to magic square, with new twist 1903.03.01 S490 he explains how to construct a regular pentagon P492 The pentagon and square: dissect one into the other 1903.03.08 S491 P493 The arithmetical pig: generalize 41096 x 83 = 3410968 1903.03.15 S492 six pieces (previous best was seven, by Busschop) P494 Five stools and cheeses: tour of Hanoi with 5 pegs, cf P124 and P447 he now knows 2774016 nonisomorphic magic 5x5s of restricted kinds 1903.03.22 S493 P495 The field and the pond: area of certain lunes 1903.03.29 S494 announced, but held over to make room for S488 with two solutions, one found by T. R. Baxter; both can be described with an extension of my method in S257 above, now using A(uvwxyz)^T + b, where 010011 0 101001 0 110001 0 110100 0 Dudeney's A = 101010, b = 0; Baxter's A = 111110, b = 0. 111110 1 011010 0 100111 1 001011 1 001100 0 010101 0 The most important criteria are that A be nonsingular (mod 2) and its left and right 3x6 submatrices should each have distinct nonzero rows P496 The twenty-one trees: possible with 7 rows, 6 per row; but how many rows can be made if you only need 5 per row? [same as P229] 1903.04.05 S494, S495 P497 The British Isles: fanciful play on shapes 1903.04.12 S496 very strongly believing that 12 is max, he's "utterly unable to prove it"; two ways to get 12 are illustrated P498 Buying chestnuts: a trick of wording 1903.04.19 begins a special six-week series of "mystery puzzles" M1 Why was Morgan not arrested?: trick of wording S497 1903.04.26 M2 What are they all looking at?: * S498 1903.05.03 M3 Can you find the King and Queen?: reconstruct mutilated portrait 1903.05.10 M4 How did he get out? trick of words 1903.05.17 M5 The motor-car puzzle: * 1903.05.24 M6 Can you find the man's wife: more tricks 1903.05.31 discusses the classification of puzzles P499 The mutilated word: find all words that end in -cion 1903.06.07 reminiscences as he reaches 500 puzzles P500 The great cigar puzzle: reflection principle in games 1903.06.14 S499 P501 The spider and the fly: * 1903.06.21 S500 held over, since nobody has yet solved it P502 A deified puzzle: path counting [cf P182] 1903.06.28 S501 P503 Mischief bruin': riddle 1903.07.05 S500, S501 P504 A kite-flying puzzle: * a note to T.R.B. [undoubtedly Baxter] suggests forming large magic squares of two degrees [cf P488] by composition of smaller ones 1903.07.12 S503 P505 Those fifteen sheep: put 15 sheep in four pens, giving same number in each 1903.07.19 S504 P506 The Dorcas society: mystery 1903.07.26 S505 (oooooh; the pens weren't empty at the beginning) P507 Crack shots at Bisley: * 1903.08.02 S506 P508 The Dutchmen's wives: * [AM 139] 1903.08.09 S507 P509 The inlaid table top: square dissected into six pairs of dissimilar triangles having integer sides and integer area 1903.08.16 S508 P510 A new domino magic square: 24 dominoes in 7x7 minus center 1903.08.23 [missing from my set of copies, but reconstructed as best I could] S509 (illustration missing, see next week for clarification) P511 Playing with pebbles: trick of wording 1903.08.30 S510 many, with magic constants 18, 19, 20, 21, 22, or 23 S509 triangle sides 8,15,17; 17,25,28; 5,12,13; 13,13,24; 12,16,20; 20,20,24 P512 The shamrock flag: dissect a certain hexagon into square with restrictions 1903.09.06 P511 P513 The lady and the waiter: French tricks of wording 1903.09.13 S512 P514 Perplexing dinner party: six couples in a circle, no man by his wife [this is the classical "probl\eme des m\'enages"] 1903.09.20 S513 P515 The Chinese maze: shortest route, and how to thread a maze at night 1903.09.27 S514 80 ways; he doesn't know a general formula, but he essentially reduces it to calculating the permanent of 111100 111001 110011 100111 001111 011110 P516 The spot on the table: * 1903.10.04 S515 P517 Broken draughts-board: checkerboard in eight parts, size 5,6,7,8,8,9,10,11 1903.10.11 S516 P518 The converted miser: * [AM116] 1903.10.18 S517 P519 Pheasant-shooting: trick * 1903.10.25 S518 P520 The beanfeast puzzle: * 1903.11.01 S519 P521 A playing-card puzzle: count orthogonal 4x4 latin squares that are magic 1903.11.08 S520 P522 The egg-merchant's story: * 1903.11.15 S521 Bachet erred by a factor of 2 P523 Five jealous husbands: river crossing, boat holds 3 1903.11.22 S522 P524 The four market women: * he doesn't know Tarry's proof that 6x6 orthogonal latin squares don't exist 1903.11.29 S523 P525 How to make cisterns: max vol of 1-parameter family of rectangular prisms 1903.12.06 S524 P526 The unfinished square: partially magic 7x7 from {1,2,3,5,6,...,49} 1903.12.13 S525 P527 Cannon ball pyramids: number > 1 that is both square and square pyramidal 1903.12.20 Christmas puzzle crackers PC1 Tales with tangrams: which of 31 figures is not possible with tangrams? PC2 Across the Stilton: riddle PC3 Uncle George's poser: self-reference PC4 The pirate's flag: dissect, changing 12 stripes to 10 PC5 The great sugar-plum scramble: * PC6 A small marriage portion: trick * PC7 A remarkable plant: riddle PC8 A stellar problem: draw large star not touching others S526 1903.12.27 New Year puzzles [henceforth the puzzles aren't numbered, but I'll continue consecutively] P528 The menagerie puzzle: 4x4 cages filled with animals, disjoint sets of letters in rows, columns, and diagonals P529 The boys and the apple-woman: * S527 4900 (is it unique?) 1904.01.03 P530 How did Judkins sell his cattle?: * SC3, SC2, SC1, SC4, SC6, SC7 1904.01.10 P531 The great Grangemoor mystery: three hands of clock nearly equidistant SC8, SC5 S528, S529 1904.01.17 P532 The smart young chick problem: * P533 The Frenchman's poser: language quirk S530 1904.01.24 P534 The ABC of riddles: why is A like noon...why is Z like a cage of monkeys? S531 1904.01.31 P535 The Japanese fleet: Interchange quadruples of counters in an E shape S532, S533 1904.02.07 P536 Problem of leap-year ladies: * S534 A is in middle of DAY...Z is found in ZOO 1904.02.14 P537 The ugly valentine: cut it out and make it more presentable S535 in 43 moves (found by nine solvers; twenty did it in 44, hundreds in 45) 1904.02.21 P538 An attack on the Russian fleet: 16 points, remove one by first passing three others in a straight line; how many at most can be removed this way? S536 1904.02.28 P539 The banker's puzzle: force a prime number in a certain game S537 1904.03.06 P540 The architect and the spring poet: build a square house with southerly exposure from windows on every side S538 can sink ten, e.g. as follows: 4 . 8 6 . . 7 . . (first remove 0, then 1, ..., then 9) 1 3 . 0 2 5 9 1904.03.13 P541 The Japanese jack: use ruler and compass to approximate the circumference S539 solved only by G Wotherspoon S537 continued, he claims that only two of "thousands" found the right answer 1904.03.20 [starting this week the column no longer has Dudeney's byline, and it soon degenerates; therefore I list only the answers to D's previous puzzles] S540 build the house at the North Pole 1904.03.27 S541 an unmemorable construction --------------------------------------------- Connections with The Canterbury Puzzles: CP1 is simpler form of P447 CP3 = P263 CP4 = P243 CP7 = P169 CP8 = P405 CP9 = P168 CP10 = P200 CP11 is similar to P192 CP12 = P298 CP13 = P12 CP16 = P283 CP19 = P369 CP20 is related to P280 CP22 cooks P249 CP23 is related to P255 CP24 is a simplification of P356 CP25 = P373 CP26 = P440 CP27 is similar to P72 CP28 = P354 CP30 = P315 CP31 = P94 CP32 = P331 CP35 is similar to P383 CP37 is related to P260 CP40 is related to P311 CP41 is related to P8 CP42 = P293 CP43 is the 4x4 analog of P252 (6x6) and P436 (8x8) CP45 = P489 CP46 is similar to P333 CP47 is the 1111111 analog of P467 (11111111111) CP48 = P347 CP59 = P221 CP61 is related to P280 CP62 = P341 CP65 = P267 CP66 = P380 CP67 = P4 CP68 = P52 CP69 = P80 CP70 = P44 CP71 = P16 CP72 = P60 CP73 = P430 CP75 = P501 CP76 = P466 CP77 = P512 CP78 = P269 CP79 = P459 CP82 = P493 CP83 = P425 CP84 = P319 CP85 = P64 CP86 = P285 CP89 = P165 CP91 = P340 CP92 = P441 CP93 = P198 CP94 = P264 CP95 = P279 CP97 = P281 CP100 = P326 CP101 = P241 CP102 = P468 CP103 = P471 CP105 = P506 CP106 = P248 CP107 = P445 CP108 = P30 CP109 = P256 CP110 = P476 CP111 = P223 CP76 = P113 CP114 = P55 (I think CP81 and CP88 can also be found, but I don't have time to trace them) --------------------------------------------- Connections with Amusements in Mathematics: AM4 = P520 AM5 = P379 AM6 = P122 AM12 = P334 AM16 = P401 AM23 = P284 AM25 = P458 AM26 = P191 AM27 = P142 AM29 = P195 AM30 (second part) = P420 AM31 = P403 AM32 = P412 AM33 = P90 AM34 = P126 AM35 = P530 AM36 = P400 AM37 = P498 AM45 = P39 AM49 = P210 AM50 = Christmas puzzle PC2 of 1897.12.19 AM55 = P103 AM60 = P272 AM61 = P429 AM63 = P531 AM64 = P217 AM77 = P219 AM82 = P198 AM84 is a simplification of P410 AM90 = P386 AM91 = P472 AM92 = P357 AM93 = P349 AM94 = P276 AM97 = P516 AM105 = P203 AM108 = P536 AM109 = Christmas puzzle PC5 of 1903.12.20 AM112 = P71 AM112 = P173 AM116 = P518 AM118 = P247 AM129 = P333 AM130 = P231 AM131 = P321 AM132 = P363 AM133 = P389 AM134 = P539 AM135 = P348 AM137 = P350 AM138 = P527 AM139 = P508 AMp28 refers obliquely to P440 AMp30 comes from the solution to P462 AMp31 comes from the solution to P369 AM142 = Christmas puzzle PC1 of 1898.12.11 AM143 = P339 AM144 = P470 AM146 = P288 AM148 = P291 AM149 = P361 AM154 = P303 AM155 = P492 AM156 = P327 AM157 = P460 AM158 = P381 AM159 = P300 AM160 = P397 AM162 = P438 AM170 = P296 AM172 = P254 AM173 = P225 AM174 = P261 AM177 = P375 AM180 = P486 AM183 = P415 AM184 = P115 AM189 = P367 AM190 = P487 AM194 = P374 AM196 = P330 AM197 = P437 AM199 = P432 AM200 = P504 AM201 = P525 AM206 = P176 AM207 = P186 AM209 = P229 = P496 AM210 = P246 AM211 = Christmas puzzle PC1 of 1896.12.13 AM212 = P465 AM213 = P388 AMp58 comes from 1902.12.14 AM215 has the same name and illustration as P347 but is really quite different AM217 = P434 AM219 is a simplified form of P12 [after making three moves in the latter] AM221 = P259 AM222 = Christmas puzzle PC4 of 1897.12.19 AM223 = P193 AM224 = P535 AM226 = P384 AM227 = P312 AM230 = P8 AM233 = P328 AM234 = P234 [an interesting coincidence!] AM236 = P108 AM237 = P390 AM238 = P395 AM240 is similar to P104 AM244 = P423 AM245 = P426 AM246 = P404 AM249 = P351 AM250 = P20 AM245 = P431 AM257 = P502 AM262 = P505 AM269 = P345 AM271 = P372 AM273 generalizes P326 AM274 = P287 AM275 = P172 AM279 is a simplified version of P444 AM281 = P448 AM282 = P290 AM283 = P392 AM291 = P220 AM297 = P206 AM299 = P332 AM302 = P436 AM303 = P427 AM304 = P521 AM305 = P252 AM307 = P278 AM311 = P282 AM314 = P235 AM316 is simplified version of P309 AM317 is simplified version of P324 AM318 = P408 AM319 = P244 AM321 = P221 AM323 is similar to P161 AM324 = P250 AM325 = P16 AM330 = P297 AM331 = Christmas puzzle PC1 of 1897.12.19 AM335 = P274 AM337 = P370 AM338 = P294 AM340 was presented as solution only, 1899.05.21 AM341 = P262 AM342 = P325 AM343 = P318 AM344 = P399 AM346 = P222 AM358 = P72 is similar to CP27 AM371 = P150 AM375 = P523 AM376 = P270 AM377 = P164 AM378 = P409 AM387 = P2 AM394 = P362 AM398 = P500 AM400 = P167 AM401 = P145 AM402 = P491 AM404 = P371 AM406 = P316 AMp124 is related to P226 and P483 AM408 = P488 AM409 = P336 AM411 = P453 AM412 = P295 AMp134 (Fig. 22) is P482 AMp135 (Fig. 24) is P515 AM417 = P396 AM418 = P184 AM422 = P446 AM423 = P268 AM424 = P209 AM425 = P417 AM427 = P519 AM428 = P320 AM430 = mystery puzzle M6 of 1903.05.24 --------------------------------------------- Connections with Modern Puzzles: MP30 = P184 MP108 = P391 MP114 = Christmas puzzle PC4 of 1903.12.20 MP126 = P123 MP197 is similar to P192 MP202 = P256 --------------------------------------------- Connections with Puzzles & Curious Problems: PCP18 = P202 PCP69 = P28 PCP145 = P160 PCP147 = P286 PCP148 = P66 PCP151 = P154 PCP166 = P101 PCP167 = Christmas puzzle PC2 of 1898.12.11 PCP177 = P225 PCP180 is an improvement on Christmas puzzle PC1 of 1898.12.11 PCP187 = P385 PCP189 = P188 PCP197 = P76 PCP214 = P84 PCP235 = P322 PCP236 = P168 PCP250 is related to P395 PCP256 = P269 PCP259 = P200 PCP264 = P16 PCP282 = P454 PCP283 = P283(!) PCP291 = P141 PCP303 = P175 PCP316 = P331 PCP319 is related to P430 PCP330 = P368 PCP343 is an interesting extension of P332 PCP361 = P229 PCP388 = P139 PCP266 is similar to P471 -------------------------------------------- Connections with 300 Best Word Puzzles [ed by Gardner, 1968] WP53 = P534 WP55 = P503 WP71 = P42 WP72 = P119 WP74 = P31 WP81 = P98 WP82 = P102 WP83 = P78 WP86 = P86 WP90 = P121 WPp51 = P19 WP110 = P61 WP113 = P7 WP125 = P35 WP126 = P10 WP127 = P110 WP128 = P82 WP129 = P63 WP130 = P47 WP134 = P95 WP135 = P135 WP136 = P29 WP137 = P38 WP138 = P3 WP139 = P106 WP140 = P75 WP150 = P45 WP170 = P477 WP174 = P9 WP184 = P91 WP187 = P51 WP189 = P43 WP192 = P11 WP193 = P65 WP199 = P23 WP203 is a simplification of P265 WP224 = P89 WP241 = P218 WP287 is an extension of P245