Puzzles Of The 4th Round Of The 2007 Internet Puzzle .

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Puzzles of the 4th Roundof the 2007 Internet Puzzle Solvers TestAnswers must be sent to diogen.club@gmail.com not later than 22 December 2007 (at 24:00 Moscow time).Also, please tell us which puzzles you thought were the two best and the two worst.For any question write to http://diogen.h1.ru/cgi-bin/forum.pl. Good luck.1. Arithmetic squareAndrey BogdanovReplace letters with digits so that each row and column contains an arithmetic sequence. Different letters mean different digits,same letters - same digits. Asterisk may mean any digit. Numbers do not start with zero.A B CAAD ED FDGC HG IC**** IP ST** *** ********* *** ***** PUZ ZLEANExample:3 8 13532 42 5261 76 91Answer format: Write the letters in the order of increasing their values.For the given example the answer would be: CDAEFGHBI.Score: 6 points2. Jubilee fenceRiad KhanmagomedovDraw a single continuous loop along thelines of the grid. The loop may not touchor cross itself. Each number shows thenumber of sides of the cell used by the 43Answer format: write the number of cellsand the sum of digits inside the fence. Forthe given example the answer would be:7, 9Score: 6 points233123113

3. Dwarfs of the diagonalAnurag SahayFill in the grid using standard sudoku rules. Diagonal line in the cell show that the digit in the cell is less then all digit of thecorresponding diagonal.869736 85 87959 2132492 473Example:241331424231Answer format: Write the content of maindiagonal from the bottom left to the top rightcorner. For the given example the answerwould be: 4114Score: 7 points4. Battleship chainAlexey OleshovPut the big battleship set into the grid. Ships form a loop - each ship touches exactly two other ships only by corner. Digits atthe right and on the bottom show the number of cells occupied by the ships in the corresponding row or column.6 3 2 6 2 5 3 4 4444444335Example forthe small set:1 3 2 2 232221Answer format: Write the size ofships in the loop going clockwisestarting with the biggest. For thegiven example the answer wouldbe: 3,2,1,1,2,1.Score: 7 points

5. Triangle minesweeperAndrey BogdanovPlace 32 triangles in the grid (each triangle occupies exactly a half of a cell) so that they do not touch each other even by a corner. Digits in the grid show the number of triangles touching the cell with digit. Triangles cannot be in the cells with digit.211022231212431221Example for 11triangles:2B2C1312A2D3331Answer format: Write the number of triangles of each form (A, B, C, D) in order. For the given example the answer wouldbe: 4,2,2,3Score: 7 points6. PentawordRiad KhanmagomedovPut all given words to the grid to form connected crossword. Words can be read in any of four directions (from left to right,from right to left, from top to bottoam and from bottom to top). All empty cells should form the complete set of 12 pentaminoes. Three letters (the initials of author) are already given.КНR11: CHRISTOPHER8: JONATHAN7: HOVANECROBERTS6: SERKANSINCAR5: AKIRACLIVEELENARAUNASZOKEVOIGT4: ALANEIJIENTAAnswer format: write the content of first vertical from top to bottom. Use “-” for empty cell.Score: 7 pointsIVANJIRIOLGATEST3: AZUCIGJANJUNLAILEELEYROYVON2: JOLU

7. Black magicAnurag SahayPlace the given set of battleships into the grid. Each row and column contains exactly one black segment. Digits at the rightand on the bottom show the number of white segments in corresponding row or column. Ships cannot touch each other evenby a corner. Do not consider the digits and letters at the left and at the top of the gird - they are only for the answer key purposes.Example forthe small fleet:Answers format: Write the coordinate of foursmall ships. For the given example the answerwould be: a6, d3, f4.Score: 7 pointsAlexey Oleshov8. Chain-sawChain for the saw is a loop from trianglesconnected by hinges. The part of the chainis on the picture at the right. Place suchchain into the grid. Chain cannot overlapon intersect itself. Numbers at the grid edges show the numbers of occupied cells inthe direction corresponded to the swer format: First write the total number of triangles in the chain. Then the content of marked row from let to right. Use1 for occupied cells and 0 for empty. For the given example the answer would be: 11,0101100Score: 8 points

9. Cross-sumdokuAndrey BogdanovFill in the grid using standard sudoku rules. Numbers at the right and on the bottom give the sums of three three-digit numberswhich are formed in corresponding row or ore: 9 points15482223Answer format: Write the content ofmarked diagonal from the bottom left to thetop right corner. For the given example theanswer would be: 412415662025147610. New Year squareVladimir PortugalovWrite digits from 0 to 9 (each can be used exactly once) into the 10 cells of the 5х5 grid. Calculate the sum of all numbersreading horizontally (from left to right) or vertically (from to bottom) then subtract from it the sum of all numbers readingdiagonally (from top left to bottom right or from top right to bottom left). Minimize the absolute difference of this number and2008. Do not take into account empty cells while reading numbers.Example:1234567089Horizontally: 12345 6 70 8 9 12438Vertically: 16789 2 30 4 5 16830Diagonally: 9 8 7 6 10 2 3 4 5 1 26 37 48 509 675Result: 12438 16830-675 28593Difference: 2008-28593 26585Answer format: write the content of the grid row by row from top to bottom. Use “-” for empty cells. For the given examplethe answer would be: 12345,6----,7-0--,8----,9----.Score: 12 minuses half of the difference. No negative points.

11. Warrior sudokuAnurag SahayFill the grid with digits 1 to 8. Each row, columnand 3x3 box must have distinct digits. The greycells must be left empty. No digit may touchanother which is either equal or consecutive (3cannot touch 2, 3 or 4, 1 cannot touch 1,2).Maximize the number of digits placed.Answer format: Write the content of thegrid row by row. Use “-” for the emptycells.Score: 0.5 points for every digit over then40.12. Penta-lampsRiad KhanmagomedovPlace the complete pentamino set into the 12х12 grid. Pentamino cannot touch each other. Then place lamps into the emptycells. All cells should be illuminated by one or more lamps, but no lamps can illuminate each other. The cell is illuminated ifit is in one row or column with a lamp and no pentamino cells between them. Maximize the number of lamps.121110987654321FNIExample:LTPVUYZWA B C D E F G H IF6F5F4FF3F2 FF1A B C D E FXJ K LAnswer format: First write the number of lamps and their coordnates. Then write the pentamino placing - for each pentaminowrite it letter and the coordinates of the cell with its letter. For the given example the answer would be: 8;A2,B3,C4,C6,D3,E1,E5,F2;WB2,LE3,PC5Score: 2 points for each lamp over then 27.

You should send answers via email in simple text with this format:Name: Ivan IvanovE-mail: something@otherthing.comCountry: Russia1. .2. .12. .Best two puzzles: 1,2Worst two puzzles: 3,4At the end of the email you can write any commentary.Thank you for your participation.

Answers must be sent to diogen.club@gmail.com not later than 22 December 2007 (at 24:00 Moscow time). Also, please tell us which puzzles you thought were the two best and the two worst. . Worst two puzzles:

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