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You are a professional Sudoku puzzle solver. Please solve the following Sudoku variant. ## Format Explanation ## Coordinates: - We will use r{x}c{y} coordinates. For example, r1c1 is the top-left cell at row 1 column 1, r1c2 is the cell to the right at row 1 column 2, r2c1 is the cell below at row 2 column 1, and so on. Visual Elements: - Any visual elements will be described in text using rxcy coordinates. - Please note the visual elements will be described as-is. If a thermo or arrow appears on the board, the location of the circle or bulb will be listed, and the line or arrow will be listed as a separate object. But you can infer they are part of the same object by their coordinates. - If a visual element is described as "between" two cells, it means the visual element appears on the edge between the two cells. - In some puzzles there may be visual elements outside of the grid and these will be described using the same coordinate system. For example an arrow in r0c1 pointing to the lower right means there is an arrow above r1c1 that points in the direction of the diagonal: r1c2, r2c3, etc. ## Tips ## - In solving the puzzle it often helps to understand that there exists a unique solution. - It therefore helps to focus on what values must be forced given the puzzle constraints, and given the fact that the solution is unique. - All information is provided and is sufficient to solve the puzzle. ## Size ## 6 x 6 ## Rules ## Normal 6x6 Sudoku rules apply. Every indicated diagonal has the same product. ## Visual Elements ## - diagonal arrow, color: black, in location: r0c4, pointing lower right - diagonal arrow, color: black, in location: r2c0, pointing lower right - diagonal arrow, color: black, in location: r6c0, pointing upper right - diagonal arrow, color: black, in location: r7c1, pointing upper right ## Initial Sudoku Board ## . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ## Answer Format ## Please provide your answer at the end of your response. Put your answer within tags <ANSWER></ANSWER>. Your answer will be a sequence of 6x6 = 36 digits. For example, the format should look like <ANSWER> 1234567... </ANSWER>
143562625134452316316245261453534621
You are a professional Sudoku puzzle solver. Please solve the following Sudoku variant. ## Format Explanation ## Coordinates: - We will use r{x}c{y} coordinates. For example, r1c1 is the top-left cell at row 1 column 1, r1c2 is the cell to the right at row 1 column 2, r2c1 is the cell below at row 2 column 1, and so on. Visual Elements: - Any visual elements will be described in text using rxcy coordinates. - Please note the visual elements will be described as-is. If a thermo or arrow appears on the board, the location of the circle or bulb will be listed, and the line or arrow will be listed as a separate object. But you can infer they are part of the same object by their coordinates. - If a visual element is described as "between" two cells, it means the visual element appears on the edge between the two cells. - In some puzzles there may be visual elements outside of the grid and these will be described using the same coordinate system. For example an arrow in r0c1 pointing to the lower right means there is an arrow above r1c1 that points in the direction of the diagonal: r1c2, r2c3, etc. ## Tips ## - In solving the puzzle it often helps to understand that there exists a unique solution. - It therefore helps to focus on what values must be forced given the puzzle constraints, and given the fact that the solution is unique. - All information is provided and is sufficient to solve the puzzle. ## Size ## 6 x 6 ## Rules ## Normal 6x6 sudoku rules apply. In the grid, there are 6 grey lines. Each grey line is either a German whisper (adjacent digits must differ by at least 3), a region sum line (digits must have an equal sum within each region it passes through), or a renban (consists of a set of (non-repeating) consecutive digits). The solver has to determine the nature of each line. However, there are exactly 2 lines of each type. ## Visual Elements ## - line, color: silver, coords: r6c1 r6c2 r6c3 r6c4 r6c5 r6c6 - line, color: silver, coords: r3c1 r2c2 r1c2 - line, color: silver, coords: r5c1 r4c2 r3c2 r3c3 - line, color: silver, coords: r5c6 r4c5 r3c5 r3c4 - line, color: silver, coords: r1c3 r2c4 r2c5 r2c6 - line, color: silver, coords: r5c3 r5c4 r4c4 r5c3 ## Initial Sudoku Board ## . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ## Answer Format ## Please provide your answer at the end of your response. Put your answer within tags <ANSWER></ANSWER>. Your answer will be a sequence of 6x6 = 36 digits. For example, the format should look like <ANSWER> 1234567... </ANSWER>
326541541362614235253614135426462153
You are a professional Sudoku puzzle solver. Please solve the following Sudoku variant. ## Format Explanation ## Coordinates: - We will use r{x}c{y} coordinates. For example, r1c1 is the top-left cell at row 1 column 1, r1c2 is the cell to the right at row 1 column 2, r2c1 is the cell below at row 2 column 1, and so on. Visual Elements: - Any visual elements will be described in text using rxcy coordinates. - Please note the visual elements will be described as-is. If a thermo or arrow appears on the board, the location of the circle or bulb will be listed, and the line or arrow will be listed as a separate object. But you can infer they are part of the same object by their coordinates. - If a visual element is described as "between" two cells, it means the visual element appears on the edge between the two cells. - In some puzzles there may be visual elements outside of the grid and these will be described using the same coordinate system. For example an arrow in r0c1 pointing to the lower right means there is an arrow above r1c1 that points in the direction of the diagonal: r1c2, r2c3, etc. ## Tips ## - In solving the puzzle it often helps to understand that there exists a unique solution. - It therefore helps to focus on what values must be forced given the puzzle constraints, and given the fact that the solution is unique. - All information is provided and is sufficient to solve the puzzle. ## Size ## 6 x 6 ## Rules ## Select six different digits from the set 1-9. Use these six digits only to fill every cell such that a digit does not repeat in a row, column or box. Grey lines are entropic AND modular; i.e every 3-cell sequence on a line must contain a digit from {123}, one from {456} and {789}; also these digits must include one from {147}, one from {258} and one from {369}. Both indicated diagonals have the same sum. The inequality sign โ€˜points' to the lower digit. Any 5 in the grid must have a 1 directly above it or a 9 directly below it (or both). ## Visual Elements ## - line, color: silver, coords: r5c1 r4c1 r3c2 r2c2 - line, color: silver, coords: r5c2 r4c2 r3c3 r2c3 - line, color: silver, coords: r5c3 r4c3 r3c4 r2c4 - line, color: silver, coords: r5c4 r4c4 r3c5 r2c5 - line, color: silver, coords: r2c6 r3c6 r4c5 r5c5 - diagonal arrow, color: black, in location: r0c4, pointing lower left - diagonal arrow, color: black, in location: r0c1, pointing lower right - text: >, shape: circle, location: between r6c2 and r6c3 ## Initial Sudoku Board ## . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ## Answer Format ## Please provide your answer at the end of your response. Put your answer within tags <ANSWER></ANSWER>. Your answer will be a sequence of 6x6 = 36 digits. For example, the format should look like <ANSWER> 1234567... </ANSWER>
264198198264826419419826982641641982
You are a professional Sudoku puzzle solver. Please solve the following Sudoku variant. ## Format Explanation ## Coordinates: - We will use r{x}c{y} coordinates. For example, r1c1 is the top-left cell at row 1 column 1, r1c2 is the cell to the right at row 1 column 2, r2c1 is the cell below at row 2 column 1, and so on. Visual Elements: - Any visual elements will be described in text using rxcy coordinates. - Please note the visual elements will be described as-is. If a thermo or arrow appears on the board, the location of the circle or bulb will be listed, and the line or arrow will be listed as a separate object. But you can infer they are part of the same object by their coordinates. - If a visual element is described as "between" two cells, it means the visual element appears on the edge between the two cells. - In some puzzles there may be visual elements outside of the grid and these will be described using the same coordinate system. For example an arrow in r0c1 pointing to the lower right means there is an arrow above r1c1 that points in the direction of the diagonal: r1c2, r2c3, etc. ## Tips ## - In solving the puzzle it often helps to understand that there exists a unique solution. - It therefore helps to focus on what values must be forced given the puzzle constraints, and given the fact that the solution is unique. - All information is provided and is sufficient to solve the puzzle. ## Size ## 4 x 4 ## Rules ## SUDOKU - Fill the grid with the digits 1-4 so that no digit repeats in a row, column, or box. KILLER - Digits in cages sum to the number in the corner of the cage. - Digits cannot repeat within a cage. LITTLE KILLER - Digits along the diagonal indicated by an arrow sum to the number by the arrow. ## Visual Elements ## - killer cage (value 5): r1c1 r1c2 - killer cage (value 8): r2c1 r2c2 r3c2 - killer cage (value 4): r2c4 r3c4 - diagonal arrow, color: black, in location: r1c5, pointing lower left - text: 8, shape: circle, location: r1c5 ## Initial Sudoku Board ## . . . . . . . . . . . . . . . . ## Answer Format ## Please provide your answer at the end of your response. Put your answer within tags <ANSWER></ANSWER>. Your answer will be a sequence of 4x4 = 16 digits. For example, the format should look like <ANSWER> 1234567... </ANSWER>
3214142323414132
You are a professional Sudoku puzzle solver. Please solve the following Sudoku variant. ## Format Explanation ## Coordinates: - We will use r{x}c{y} coordinates. For example, r1c1 is the top-left cell at row 1 column 1, r1c2 is the cell to the right at row 1 column 2, r2c1 is the cell below at row 2 column 1, and so on. Visual Elements: - Any visual elements will be described in text using rxcy coordinates. - Please note the visual elements will be described as-is. If a thermo or arrow appears on the board, the location of the circle or bulb will be listed, and the line or arrow will be listed as a separate object. But you can infer they are part of the same object by their coordinates. - If a visual element is described as "between" two cells, it means the visual element appears on the edge between the two cells. - In some puzzles there may be visual elements outside of the grid and these will be described using the same coordinate system. For example an arrow in r0c1 pointing to the lower right means there is an arrow above r1c1 that points in the direction of the diagonal: r1c2, r2c3, etc. ## Tips ## - In solving the puzzle it often helps to understand that there exists a unique solution. - It therefore helps to focus on what values must be forced given the puzzle constraints, and given the fact that the solution is unique. - All information is provided and is sufficient to solve the puzzle. ## Size ## 4 x 4 ## Rules ## SUDOKU - Fill the grid with the digits 1-4 so that no digit repeats in a row, column, or box. COUNTING CIRCLES Any digit in a circle indicates exactly how many circles contain that digit. As an example, if there is a 2 in any circle, there are exactly two 2s in circles in the puzzle. ## Visual Elements ## - shape: circle, color: white (stroke color: black), location: r4c1 - shape: circle, color: white (stroke color: black), location: r3c1 - shape: circle, color: white (stroke color: black), location: r4c4 - shape: circle, color: white (stroke color: black), location: r2c4 - shape: circle, color: white (stroke color: black), location: r2c3 - shape: circle, color: white (stroke color: black), location: r4c2 - shape: circle, color: white (stroke color: black), location: r2c2 - shape: circle, color: white (stroke color: black), location: r1c1 - shape: circle, color: white (stroke color: black), location: r1c2 ## Initial Sudoku Board ## . . . . . . . . . . . . . . . . ## Answer Format ## Please provide your answer at the end of your response. Put your answer within tags <ANSWER></ANSWER>. Your answer will be a sequence of 4x4 = 16 digits. For example, the format should look like <ANSWER> 1234567... </ANSWER>
3421124341322314
You are a professional Sudoku puzzle solver. Please solve the following Sudoku variant. ## Format Explanation ## Coordinates: - We will use r{x}c{y} coordinates. For example, r1c1 is the top-left cell at row 1 column 1, r1c2 is the cell to the right at row 1 column 2, r2c1 is the cell below at row 2 column 1, and so on. Visual Elements: - Any visual elements will be described in text using rxcy coordinates. - Please note the visual elements will be described as-is. If a thermo or arrow appears on the board, the location of the circle or bulb will be listed, and the line or arrow will be listed as a separate object. But you can infer they are part of the same object by their coordinates. - If a visual element is described as "between" two cells, it means the visual element appears on the edge between the two cells. - In some puzzles there may be visual elements outside of the grid and these will be described using the same coordinate system. For example an arrow in r0c1 pointing to the lower right means there is an arrow above r1c1 that points in the direction of the diagonal: r1c2, r2c3, etc. ## Tips ## - In solving the puzzle it often helps to understand that there exists a unique solution. - It therefore helps to focus on what values must be forced given the puzzle constraints, and given the fact that the solution is unique. - All information is provided and is sufficient to solve the puzzle. ## Size ## 4 x 4 ## Rules ## Each row and column contains the digits 1-4 once each. Digits in a cage sum to a prime number but no two cages sum to the same prime. Digits in a cage MAY repeat. ## Visual Elements ## - killer cage: r1c2 r1c3 r2c3 - killer cage: r1c4 r2c4 r3c3 r3c4 r4c3 r4c4 - killer cage: r2c2 r3c2 r4c1 r4c2 - killer cage: r1c1 r2c1 r3c1 ## Initial Sudoku Board ## . . . . . . . . . . . . . . . . ## Answer Format ## Please provide your answer at the end of your response. Put your answer within tags <ANSWER></ANSWER>. Your answer will be a sequence of 4x4 = 16 digits. For example, the format should look like <ANSWER> 1234567... </ANSWER>
4213132424313142
You are a professional Sudoku puzzle solver. Please solve the following Sudoku variant. ## Format Explanation ## Coordinates: - We will use r{x}c{y} coordinates. For example, r1c1 is the top-left cell at row 1 column 1, r1c2 is the cell to the right at row 1 column 2, r2c1 is the cell below at row 2 column 1, and so on. Visual Elements: - Any visual elements will be described in text using rxcy coordinates. - Please note the visual elements will be described as-is. If a thermo or arrow appears on the board, the location of the circle or bulb will be listed, and the line or arrow will be listed as a separate object. But you can infer they are part of the same object by their coordinates. - If a visual element is described as "between" two cells, it means the visual element appears on the edge between the two cells. - In some puzzles there may be visual elements outside of the grid and these will be described using the same coordinate system. For example an arrow in r0c1 pointing to the lower right means there is an arrow above r1c1 that points in the direction of the diagonal: r1c2, r2c3, etc. ## Tips ## - In solving the puzzle it often helps to understand that there exists a unique solution. - It therefore helps to focus on what values must be forced given the puzzle constraints, and given the fact that the solution is unique. - All information is provided and is sufficient to solve the puzzle. ## Size ## 4 x 4 ## Rules ## SUDOKU - Fill the grid with the digits 1-4 so that no digit repeats in a row, column, or box. RENBAN - Digits on a purple Renban line must be a set of consecutive, non-repeating digits (in any order). For example, a length 3 line could have -3-1-2-, but not -1-2-4- or -1-3-1-. ## Visual Elements ## - line, color: violet, coords: r4c1 r3c2 r2c2 r1c1 - line, color: violet, coords: r2c3 r2c4 r1c4 - line, color: violet, coords: r4c4 r3c4 r4c3 - line, color: violet, coords: r1c2 r1c3 ## Initial Sudoku Board ## . . . . 2 . . . . . . . . . . . ## Answer Format ## Please provide your answer at the end of your response. Put your answer within tags <ANSWER></ANSWER>. Your answer will be a sequence of 4x4 = 16 digits. For example, the format should look like <ANSWER> 1234567... </ANSWER>
1342243142133124
You are a professional Sudoku puzzle solver. Please solve the following Sudoku variant. ## Format Explanation ## Coordinates: - We will use r{x}c{y} coordinates. For example, r1c1 is the top-left cell at row 1 column 1, r1c2 is the cell to the right at row 1 column 2, r2c1 is the cell below at row 2 column 1, and so on. Visual Elements: - Any visual elements will be described in text using rxcy coordinates. - Please note the visual elements will be described as-is. If a thermo or arrow appears on the board, the location of the circle or bulb will be listed, and the line or arrow will be listed as a separate object. But you can infer they are part of the same object by their coordinates. - If a visual element is described as "between" two cells, it means the visual element appears on the edge between the two cells. - In some puzzles there may be visual elements outside of the grid and these will be described using the same coordinate system. For example an arrow in r0c1 pointing to the lower right means there is an arrow above r1c1 that points in the direction of the diagonal: r1c2, r2c3, etc. ## Tips ## - In solving the puzzle it often helps to understand that there exists a unique solution. - It therefore helps to focus on what values must be forced given the puzzle constraints, and given the fact that the solution is unique. - All information is provided and is sufficient to solve the puzzle. ## Size ## 4 x 4 ## Rules ## 4x4 Euler Sudoku rules apply: Place the digits 1-4 and 4 different colors exactly once in each row, column, and box such that each cell has a digit and a color. Every digit/color combination must appear exactly once. Digits along thermometers increase from the bulb end. The digit in the gray circle is odd. ## Visual Elements ## - line, color: lightgray, coords: r1c2 r2c3 - line, color: lightgray, coords: r2c2 r3c3 - shape: circle, color: lightgray, location: r1c2 - shape: circle, color: lightgray, location: r2c2 - shape: circle, color: lightgray, location: r3c4 ## Initial Sudoku Board ## . . . . . . . . . . . . . . . . ## Answer Format ## Please provide your answer at the end of your response. Put your answer within tags <ANSWER></ANSWER>. Your answer will be a sequence of 4x4 = 16 digits. For example, the format should look like <ANSWER> 1234567... </ANSWER>
3241413214232314
You are a professional Sudoku puzzle solver. Please solve the following Sudoku variant. ## Format Explanation ## Coordinates: - We will use r{x}c{y} coordinates. For example, r1c1 is the top-left cell at row 1 column 1, r1c2 is the cell to the right at row 1 column 2, r2c1 is the cell below at row 2 column 1, and so on. Visual Elements: - Any visual elements will be described in text using rxcy coordinates. - Please note the visual elements will be described as-is. If a thermo or arrow appears on the board, the location of the circle or bulb will be listed, and the line or arrow will be listed as a separate object. But you can infer they are part of the same object by their coordinates. - If a visual element is described as "between" two cells, it means the visual element appears on the edge between the two cells. - In some puzzles there may be visual elements outside of the grid and these will be described using the same coordinate system. For example an arrow in r0c1 pointing to the lower right means there is an arrow above r1c1 that points in the direction of the diagonal: r1c2, r2c3, etc. ## Tips ## - In solving the puzzle it often helps to understand that there exists a unique solution. - It therefore helps to focus on what values must be forced given the puzzle constraints, and given the fact that the solution is unique. - All information is provided and is sufficient to solve the puzzle. ## Size ## 4 x 4 ## Rules ## SUDOKU - Fill the grid with the digits 1-4 so that no digit repeats in a row, column, or box. ANTIKNIGHT - If two cells are a knight's move apart (i.e. two steps horizontally and one step vertically, or vice versa), then they cannot have the same digit. PARTIAL KROPKI - A white dot between two cells requires that the value in one cell is exactly 1 greater than the value of the other cell. - A black dot between two cells requires that the value in one cell is exactly double the value of the other cell. ## Visual Elements ## - shape: circle, color: white (stroke color: black), location: between r1c3 and r1c4 - shape: circle, color: black, location: between r3c1 and r4c1 ## Initial Sudoku Board ## 3 . . . . . . . . . . . . . . . ## Answer Format ## Please provide your answer at the end of your response. Put your answer within tags <ANSWER></ANSWER>. Your answer will be a sequence of 4x4 = 16 digits. For example, the format should look like <ANSWER> 1234567... </ANSWER>
3421124321344312
You are a professional Sudoku puzzle solver. Please solve the following Sudoku variant. ## Format Explanation ## Coordinates: - We will use r{x}c{y} coordinates. For example, r1c1 is the top-left cell at row 1 column 1, r1c2 is the cell to the right at row 1 column 2, r2c1 is the cell below at row 2 column 1, and so on. Visual Elements: - Any visual elements will be described in text using rxcy coordinates. - Please note the visual elements will be described as-is. If a thermo or arrow appears on the board, the location of the circle or bulb will be listed, and the line or arrow will be listed as a separate object. But you can infer they are part of the same object by their coordinates. - If a visual element is described as "between" two cells, it means the visual element appears on the edge between the two cells. - In some puzzles there may be visual elements outside of the grid and these will be described using the same coordinate system. For example an arrow in r0c1 pointing to the lower right means there is an arrow above r1c1 that points in the direction of the diagonal: r1c2, r2c3, etc. ## Tips ## - In solving the puzzle it often helps to understand that there exists a unique solution. - It therefore helps to focus on what values must be forced given the puzzle constraints, and given the fact that the solution is unique. - All information is provided and is sufficient to solve the puzzle. ## Size ## 4 x 4 ## Rules ## Normal sudoku rules apply. Place the numbers 1-4, once each, into every row, column and box. Digits an equal distance from the center of a gray 'Zipper Line' must sum to the digit in the middle of that line. A digit inside a circle indicates how many circles that digit appears in. ## Visual Elements ## - line, color: lightgray, coords: r1c1 r2c1 r3c1 r4c1 r4c2 r4c3 r4c4 - line, color: lightgray, coords: r2c2 r2c3 r3c3 - shape: circle, color: white (stroke color: black), location: r3c1 - shape: circle, color: white (stroke color: black), location: r4c2 - shape: circle, color: white (stroke color: black), location: r2c1 - shape: circle, color: white (stroke color: black), location: r4c3 - shape: circle, color: white (stroke color: black), location: r1c1 - shape: circle, color: white (stroke color: black), location: r2c4 ## Initial Sudoku Board ## . . . . . . . . . . . . . . . . ## Answer Format ## Please provide your answer at the end of your response. Put your answer within tags <ANSWER></ANSWER>. Your answer will be a sequence of 4x4 = 16 digits. For example, the format should look like <ANSWER> 1234567... </ANSWER>
3412214312344321
You are a professional Sudoku puzzle solver. Please solve the following Sudoku variant. ## Format Explanation ## Coordinates: - We will use r{x}c{y} coordinates. For example, r1c1 is the top-left cell at row 1 column 1, r1c2 is the cell to the right at row 1 column 2, r2c1 is the cell below at row 2 column 1, and so on. Visual Elements: - Any visual elements will be described in text using rxcy coordinates. - Please note the visual elements will be described as-is. If a thermo or arrow appears on the board, the location of the circle or bulb will be listed, and the line or arrow will be listed as a separate object. But you can infer they are part of the same object by their coordinates. - If a visual element is described as "between" two cells, it means the visual element appears on the edge between the two cells. - In some puzzles there may be visual elements outside of the grid and these will be described using the same coordinate system. For example an arrow in r0c1 pointing to the lower right means there is an arrow above r1c1 that points in the direction of the diagonal: r1c2, r2c3, etc. ## Tips ## - In solving the puzzle it often helps to understand that there exists a unique solution. - It therefore helps to focus on what values must be forced given the puzzle constraints, and given the fact that the solution is unique. - All information is provided and is sufficient to solve the puzzle. ## Size ## 4 x 4 ## Rules ## Normal sudoku rules apply: Place the digits 1 to 4, once each, in every row, column and box.\n\nRegion Sum Lines: Digits along a blue line have an equal sum N within each 2x2 box the line passes through. Different lines may have different values for N. ## Visual Elements ## - line, color: mediumturquoise, coords: r1c1 r2c2 r3c1 - line, color: mediumturquoise, coords: r1c3 r2c3 r3c2 - line, color: mediumturquoise, coords: r2c4 r3c3 r4c2 ## Initial Sudoku Board ## . . . . . . . . . . . . . . . . ## Answer Format ## Please provide your answer at the end of your response. Put your answer within tags <ANSWER></ANSWER>. Your answer will be a sequence of 4x4 = 16 digits. For example, the format should look like <ANSWER> 1234567... </ANSWER>
2314413234211243
You are a professional Sudoku puzzle solver. Please solve the following Sudoku variant. ## Format Explanation ## Coordinates: - We will use r{x}c{y} coordinates. For example, r1c1 is the top-left cell at row 1 column 1, r1c2 is the cell to the right at row 1 column 2, r2c1 is the cell below at row 2 column 1, and so on. Visual Elements: - Any visual elements will be described in text using rxcy coordinates. - Please note the visual elements will be described as-is. If a thermo or arrow appears on the board, the location of the circle or bulb will be listed, and the line or arrow will be listed as a separate object. But you can infer they are part of the same object by their coordinates. - If a visual element is described as "between" two cells, it means the visual element appears on the edge between the two cells. - In some puzzles there may be visual elements outside of the grid and these will be described using the same coordinate system. For example an arrow in r0c1 pointing to the lower right means there is an arrow above r1c1 that points in the direction of the diagonal: r1c2, r2c3, etc. ## Tips ## - In solving the puzzle it often helps to understand that there exists a unique solution. - It therefore helps to focus on what values must be forced given the puzzle constraints, and given the fact that the solution is unique. - All information is provided and is sufficient to solve the puzzle. ## Size ## 4 x 4 ## Rules ## Place the same 4-digit subset from the digits 1 โ€“ 9 in each row, column and 2 x 2 box. Digits along a thermometer must increase from the bulb end. Digits separated by the black dot have a 2 to 1 ratio. Digits separated by the white dot are consecutive. The gray square contains an even number. ## Visual Elements ## - line, color: lightgray, coords: r3c1 r2c1 - line, color: lightgray, coords: r4c1 r4c2 r3c2 - line, color: lightgray, coords: r4c4 r3c4 - line, color: lightgray, coords: r2c3 r2c2 - line, color: lightgray, coords: r2c3 r3c3 - line, color: lightgray, coords: r1c3 r1c4 r2c4 - shape: square, color: mediumturquoise (stroke color: lightgray), location: r2c1 - shape: circle, color: white (stroke color: black), location: between r1c2 and r2c2 - shape: circle, color: black, location: between r4c3 and r4c4 - shape: circle, color: lightgray, location: r1c3 - shape: circle, color: lightgray, location: r2c3 - shape: circle, color: lightgray, location: r4c4 - shape: circle, color: lightgray, location: r4c1 - shape: circle, color: lightgray, location: r3c1 ## Initial Sudoku Board ## . . . . . . . . . . . . . . . . ## Answer Format ## Please provide your answer at the end of your response. Put your answer within tags <ANSWER></ANSWER>. Your answer will be a sequence of 4x4 = 16 digits. For example, the format should look like <ANSWER> 1234567... </ANSWER>
8456654848655684
You are a professional Sudoku puzzle solver. Please solve the following Sudoku variant. ## Format Explanation ## Coordinates: - We will use r{x}c{y} coordinates. For example, r1c1 is the top-left cell at row 1 column 1, r1c2 is the cell to the right at row 1 column 2, r2c1 is the cell below at row 2 column 1, and so on. Visual Elements: - Any visual elements will be described in text using rxcy coordinates. - Please note the visual elements will be described as-is. If a thermo or arrow appears on the board, the location of the circle or bulb will be listed, and the line or arrow will be listed as a separate object. But you can infer they are part of the same object by their coordinates. - If a visual element is described as "between" two cells, it means the visual element appears on the edge between the two cells. - In some puzzles there may be visual elements outside of the grid and these will be described using the same coordinate system. For example an arrow in r0c1 pointing to the lower right means there is an arrow above r1c1 that points in the direction of the diagonal: r1c2, r2c3, etc. ## Tips ## - In solving the puzzle it often helps to understand that there exists a unique solution. - It therefore helps to focus on what values must be forced given the puzzle constraints, and given the fact that the solution is unique. - All information is provided and is sufficient to solve the puzzle. ## Size ## 4 x 4 ## Rules ## Normal sudoku rules do NOT apply. Fill the grid with digits 1-9, such that no digit repeats in any row, column or box. The set of digits in each row or column is unique, eg. if a row contains the digits 1234, no other row or column may contain exactly those digits. The digits in every row, column and box sum to x, where x has to be determined by the solver. Digits separated by an X sum to 10. Digits separated by a V sum to 5. Not all Xs and Vs are necessarily given. ## Visual Elements ## - text: V, shape: circle, color: white, location: between r1c1 and r1c2 - text: V, shape: circle, color: white, location: between r2c3 and r3c3 - text: X, shape: circle, color: white, location: between r2c2 and r2c3 - text: X, shape: circle, color: white, location: between r1c4 and r2c4 - text: X, shape: circle, color: white, location: between r3c2 and r4c2 ## Initial Sudoku Board ## . . . . . . . . . . . . . . . . ## Answer Format ## Please provide your answer at the end of your response. Put your answer within tags <ANSWER></ANSWER>. Your answer will be a sequence of 4x4 = 16 digits. For example, the format should look like <ANSWER> 1234567... </ANSWER>
4158673254273681
You are a professional Sudoku puzzle solver. Please solve the following Sudoku variant. ## Format Explanation ## Coordinates: - We will use r{x}c{y} coordinates. For example, r1c1 is the top-left cell at row 1 column 1, r1c2 is the cell to the right at row 1 column 2, r2c1 is the cell below at row 2 column 1, and so on. Visual Elements: - Any visual elements will be described in text using rxcy coordinates. - Please note the visual elements will be described as-is. If a thermo or arrow appears on the board, the location of the circle or bulb will be listed, and the line or arrow will be listed as a separate object. But you can infer they are part of the same object by their coordinates. - If a visual element is described as "between" two cells, it means the visual element appears on the edge between the two cells. - In some puzzles there may be visual elements outside of the grid and these will be described using the same coordinate system. For example an arrow in r0c1 pointing to the lower right means there is an arrow above r1c1 that points in the direction of the diagonal: r1c2, r2c3, etc. ## Tips ## - In solving the puzzle it often helps to understand that there exists a unique solution. - It therefore helps to focus on what values must be forced given the puzzle constraints, and given the fact that the solution is unique. - All information is provided and is sufficient to solve the puzzle. ## Size ## 4 x 4 ## Rules ## Normal Sudoku rules apply Digits separated by a knight's move may not repeat Digits along a thermo strictly increase from the bulb ## Visual Elements ## - line, color: lightgray, coords: r4c2 r3c2 r2c2 - line, color: lightgray, coords: r2c3 r3c3 - shape: circle, color: lightgray, location: r4c2 - shape: circle, color: lightgray, location: r2c3 ## Initial Sudoku Board ## . . . . . . . . . . . . . . . . ## Answer Format ## Please provide your answer at the end of your response. Put your answer within tags <ANSWER></ANSWER>. Your answer will be a sequence of 4x4 = 16 digits. For example, the format should look like <ANSWER> 1234567... </ANSWER>
2143341243211234
You are a professional Sudoku puzzle solver. Please solve the following Sudoku variant. ## Format Explanation ## Coordinates: - We will use r{x}c{y} coordinates. For example, r1c1 is the top-left cell at row 1 column 1, r1c2 is the cell to the right at row 1 column 2, r2c1 is the cell below at row 2 column 1, and so on. Visual Elements: - Any visual elements will be described in text using rxcy coordinates. - Please note the visual elements will be described as-is. If a thermo or arrow appears on the board, the location of the circle or bulb will be listed, and the line or arrow will be listed as a separate object. But you can infer they are part of the same object by their coordinates. - If a visual element is described as "between" two cells, it means the visual element appears on the edge between the two cells. - In some puzzles there may be visual elements outside of the grid and these will be described using the same coordinate system. For example an arrow in r0c1 pointing to the lower right means there is an arrow above r1c1 that points in the direction of the diagonal: r1c2, r2c3, etc. ## Tips ## - In solving the puzzle it often helps to understand that there exists a unique solution. - It therefore helps to focus on what values must be forced given the puzzle constraints, and given the fact that the solution is unique. - All information is provided and is sufficient to solve the puzzle. ## Size ## 4 x 4 ## Rules ## Normal 4x4 Sudoku rules do NOT apply. - Digits may not repeat in a column. - Digits may not repeat in a row. - Digits may not repeat in a box. Error sudoku: Input the digits 1 to 4 on the grid exactly four times each. You must make exactly N total errors for each digit, where N is equal to the digit. For example, you must make exactly 3 errors with the digit 3. Only the rules marked with a dash may be violated for this purpose. Any time a pair of digits violates any of the relevant rules, it counts as 1 error. One pair can cause multiple errors if it violates multiple rules simultaneously. For cases involving more than 2 digits, all combinations of pairs count individually. Row/Column sums: The values outside the grid restrict the sum of the digits on that row/column. Palindrome: The digits on the lines read the same backwards and forwards. ## Visual Elements ## - region: r3c1 r3c2 r4c1 r4c2 - region: r3c3 r3c4 r4c3 r4c4 - line, color: lightgray, coords: r4c3 r4c4 - line, color: lightgray, coords: r3c3 r2c4 - text: <7, shape: square, location: r0c2 - text: <13, shape: square, location: r0c1 - text: >10, shape: square, location: r4c0 - text: >10, shape: square, location: r2c0 ## Initial Sudoku Board ## . . . . . . . . . . . . . . . . ## Answer Format ## Please provide your answer at the end of your response. Put your answer within tags <ANSWER></ANSWER>. Your answer will be a sequence of 4x4 = 16 digits. For example, the format should look like <ANSWER> 1234567... </ANSWER>
3132424132132144
You are a professional Sudoku puzzle solver. Please solve the following Sudoku variant. ## Format Explanation ## Coordinates: - We will use r{x}c{y} coordinates. For example, r1c1 is the top-left cell at row 1 column 1, r1c2 is the cell to the right at row 1 column 2, r2c1 is the cell below at row 2 column 1, and so on. Visual Elements: - Any visual elements will be described in text using rxcy coordinates. - Please note the visual elements will be described as-is. If a thermo or arrow appears on the board, the location of the circle or bulb will be listed, and the line or arrow will be listed as a separate object. But you can infer they are part of the same object by their coordinates. - If a visual element is described as "between" two cells, it means the visual element appears on the edge between the two cells. - In some puzzles there may be visual elements outside of the grid and these will be described using the same coordinate system. For example an arrow in r0c1 pointing to the lower right means there is an arrow above r1c1 that points in the direction of the diagonal: r1c2, r2c3, etc. ## Tips ## - In solving the puzzle it often helps to understand that there exists a unique solution. - It therefore helps to focus on what values must be forced given the puzzle constraints, and given the fact that the solution is unique. - All information is provided and is sufficient to solve the puzzle. ## Size ## 4 x 4 ## Rules ## Normal 4x4 sudoku rules apply. Digits separated by a black dot are in a 1:2 ratio. The difference between two adjacent digits on a coloured line indicates exactly how many pairs of adjacent digits along that line have that exact difference. ## Visual Elements ## - line, color: palegreen, coords: r3c1 r3c2 r4c3 - line, color: plum, coords: r2c2 r2c3 r3c4 r4c4 - shape: circle, color: black, location: between r4c1 and r4c2 ## Initial Sudoku Board ## . . . . . . . . . . . . . . . . ## Answer Format ## Please provide your answer at the end of your response. Put your answer within tags <ANSWER></ANSWER>. Your answer will be a sequence of 4x4 = 16 digits. For example, the format should look like <ANSWER> 1234567... </ANSWER>
1342241331244231
You are a professional Sudoku puzzle solver. Please solve the following Sudoku variant. ## Format Explanation ## Coordinates: - We will use r{x}c{y} coordinates. For example, r1c1 is the top-left cell at row 1 column 1, r1c2 is the cell to the right at row 1 column 2, r2c1 is the cell below at row 2 column 1, and so on. Visual Elements: - Any visual elements will be described in text using rxcy coordinates. - Please note the visual elements will be described as-is. If a thermo or arrow appears on the board, the location of the circle or bulb will be listed, and the line or arrow will be listed as a separate object. But you can infer they are part of the same object by their coordinates. - If a visual element is described as "between" two cells, it means the visual element appears on the edge between the two cells. - In some puzzles there may be visual elements outside of the grid and these will be described using the same coordinate system. For example an arrow in r0c1 pointing to the lower right means there is an arrow above r1c1 that points in the direction of the diagonal: r1c2, r2c3, etc. ## Tips ## - In solving the puzzle it often helps to understand that there exists a unique solution. - It therefore helps to focus on what values must be forced given the puzzle constraints, and given the fact that the solution is unique. - All information is provided and is sufficient to solve the puzzle. ## Size ## 4 x 4 ## Rules ## Normal 4x4 Sudoku rules apply. SUNBURN - A digit on a sun indicates how many surrounding cells (i.e. orthogonally or diagonally adjacent cells) contain smaller digits. ## Visual Elements ## - text: โ˜€๏ธ, shape: circle, location: r2c2 - text: โ˜€๏ธ, shape: circle, location: r2c4 - text: โ˜€๏ธ, shape: circle, location: r3c4 ## Initial Sudoku Board ## . . . . . . . . . . . . . . . . ## Answer Format ## Please provide your answer at the end of your response. Put your answer within tags <ANSWER></ANSWER>. Your answer will be a sequence of 4x4 = 16 digits. For example, the format should look like <ANSWER> 1234567... </ANSWER>
3421124323144132
You are a professional Sudoku puzzle solver. Please solve the following Sudoku variant. ## Format Explanation ## Coordinates: - We will use r{x}c{y} coordinates. For example, r1c1 is the top-left cell at row 1 column 1, r1c2 is the cell to the right at row 1 column 2, r2c1 is the cell below at row 2 column 1, and so on. Visual Elements: - Any visual elements will be described in text using rxcy coordinates. - Please note the visual elements will be described as-is. If a thermo or arrow appears on the board, the location of the circle or bulb will be listed, and the line or arrow will be listed as a separate object. But you can infer they are part of the same object by their coordinates. - If a visual element is described as "between" two cells, it means the visual element appears on the edge between the two cells. - In some puzzles there may be visual elements outside of the grid and these will be described using the same coordinate system. For example an arrow in r0c1 pointing to the lower right means there is an arrow above r1c1 that points in the direction of the diagonal: r1c2, r2c3, etc. ## Tips ## - In solving the puzzle it often helps to understand that there exists a unique solution. - It therefore helps to focus on what values must be forced given the puzzle constraints, and given the fact that the solution is unique. - All information is provided and is sufficient to solve the puzzle. ## Size ## 4 x 4 ## Rules ## Normal 4x4 sudoku rules apply. Draw a 1-cell-wide snake of orthogonally connected cells in the grid. The snake starts in the top-left cell, visits every 2x2 box at least once, and does not branch nor touch itself orthogonally. A cell is 'friendly' if its digit matches its row, column, or box number. The snake consists of all cells which are not friendly and no others. ## Visual Elements ## - ## Initial Sudoku Board ## . . . . . . . . . . . . . . . . ## Answer Format ## Please provide your answer at the end of your response. Put your answer within tags <ANSWER></ANSWER>. Your answer will be a sequence of 4x4 = 16 digits. For example, the format should look like <ANSWER> 1234567... </ANSWER>
2143432134121234
You are a professional Sudoku puzzle solver. Please solve the following Sudoku variant. ## Format Explanation ## Coordinates: - We will use r{x}c{y} coordinates. For example, r1c1 is the top-left cell at row 1 column 1, r1c2 is the cell to the right at row 1 column 2, r2c1 is the cell below at row 2 column 1, and so on. Visual Elements: - Any visual elements will be described in text using rxcy coordinates. - Please note the visual elements will be described as-is. If a thermo or arrow appears on the board, the location of the circle or bulb will be listed, and the line or arrow will be listed as a separate object. But you can infer they are part of the same object by their coordinates. - If a visual element is described as "between" two cells, it means the visual element appears on the edge between the two cells. - In some puzzles there may be visual elements outside of the grid and these will be described using the same coordinate system. For example an arrow in r0c1 pointing to the lower right means there is an arrow above r1c1 that points in the direction of the diagonal: r1c2, r2c3, etc. ## Tips ## - In solving the puzzle it often helps to understand that there exists a unique solution. - It therefore helps to focus on what values must be forced given the puzzle constraints, and given the fact that the solution is unique. - All information is provided and is sufficient to solve the puzzle. ## Size ## 6 x 6 ## Rules ## Normal 6 x 6 sudoku rules apply. All digits along a blue line must sum to the same total in each 2x3 box the line visits. ## Visual Elements ## - line, color: deepskyblue, coords: r1c4 r2c5 r3c6 r4c5 - line, color: deepskyblue, coords: r3c1 r2c2 r1c3 r2c4 - line, color: deepskyblue, coords: r3c2 r4c2 r4c3 r4c4 - line, color: deepskyblue, coords: r4c6 r5c6 r5c5 - line, color: deepskyblue, coords: r4c1 r5c1 r6c2 ## Initial Sudoku Board ## . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ## Answer Format ## Please provide your answer at the end of your response. Put your answer within tags <ANSWER></ANSWER>. Your answer will be a sequence of 6x6 = 36 digits. For example, the format should look like <ANSWER> 1234567... </ANSWER>
351264642513526341413625165432234156
You are a professional Sudoku puzzle solver. Please solve the following Sudoku variant. ## Format Explanation ## Coordinates: - We will use r{x}c{y} coordinates. For example, r1c1 is the top-left cell at row 1 column 1, r1c2 is the cell to the right at row 1 column 2, r2c1 is the cell below at row 2 column 1, and so on. Visual Elements: - Any visual elements will be described in text using rxcy coordinates. - Please note the visual elements will be described as-is. If a thermo or arrow appears on the board, the location of the circle or bulb will be listed, and the line or arrow will be listed as a separate object. But you can infer they are part of the same object by their coordinates. - If a visual element is described as "between" two cells, it means the visual element appears on the edge between the two cells. - In some puzzles there may be visual elements outside of the grid and these will be described using the same coordinate system. For example an arrow in r0c1 pointing to the lower right means there is an arrow above r1c1 that points in the direction of the diagonal: r1c2, r2c3, etc. ## Tips ## - In solving the puzzle it often helps to understand that there exists a unique solution. - It therefore helps to focus on what values must be forced given the puzzle constraints, and given the fact that the solution is unique. - All information is provided and is sufficient to solve the puzzle. ## Size ## 6 x 6 ## Rules ## [๐—ฆ๐˜‚๐—ฑ๐—ผ๐—ธ๐˜‚] Place the digits from 1 to 6 once each into every Row, Column and Region. [๐—”๐—ฟ๐—ฟ๐—ผ๐˜„] All digits on the Arrow are summing to the attached circled cell. ## Visual Elements ## - line, color: silver, coords: r1c2 r2c1 r3c1 r4c2 - line, color: silver, coords: r2c4 r3c3 r4c3 r5c4 - line, color: silver, coords: r3c6 r4c5 r5c5 r6c6 - line, color: silver, coords: r1c5 r1c6 r2c6 - line, color: silver, coords: r5c1 r6c1 r6c2 - shape: circle, color: white (stroke color: silver), location: r1c2 - shape: circle, color: white (stroke color: silver), location: r1c5 - shape: circle, color: white (stroke color: silver), location: r2c4 - shape: circle, color: white (stroke color: silver), location: r3c6 - shape: circle, color: white (stroke color: silver), location: r5c1 ## Initial Sudoku Board ## . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ## Answer Format ## Please provide your answer at the end of your response. Put your answer within tags <ANSWER></ANSWER>. Your answer will be a sequence of 6x6 = 36 digits. For example, the format should look like <ANSWER> 1234567... </ANSWER>
265431143652351246624315536124412563
You are a professional Sudoku puzzle solver. Please solve the following Sudoku variant. ## Format Explanation ## Coordinates: - We will use r{x}c{y} coordinates. For example, r1c1 is the top-left cell at row 1 column 1, r1c2 is the cell to the right at row 1 column 2, r2c1 is the cell below at row 2 column 1, and so on. Visual Elements: - Any visual elements will be described in text using rxcy coordinates. - Please note the visual elements will be described as-is. If a thermo or arrow appears on the board, the location of the circle or bulb will be listed, and the line or arrow will be listed as a separate object. But you can infer they are part of the same object by their coordinates. - If a visual element is described as "between" two cells, it means the visual element appears on the edge between the two cells. - In some puzzles there may be visual elements outside of the grid and these will be described using the same coordinate system. For example an arrow in r0c1 pointing to the lower right means there is an arrow above r1c1 that points in the direction of the diagonal: r1c2, r2c3, etc. ## Tips ## - In solving the puzzle it often helps to understand that there exists a unique solution. - It therefore helps to focus on what values must be forced given the puzzle constraints, and given the fact that the solution is unique. - All information is provided and is sufficient to solve the puzzle. ## Size ## 6 x 6 ## Rules ## Normal 6x6 sudoku rules apply. ie place the digits 1-6 once in every row, column and bold outlined region. Cells separated by a knight's move (in chess) cannot contain a repeated digit. Along thermometers, digits must increase from the bulb end. ## Visual Elements ## - line, color: lightgray, coords: r1c3 r2c4 - line, color: lightgray, coords: r2c5 r1c5 - line, color: lightgray, coords: r4c5 r3c4 - line, color: lightgray, coords: r2c1 r3c2 - line, color: lightgray, coords: r2c2 r3c1 - shape: circle, color: lightgray, location: r1c3 - shape: circle, color: lightgray, location: r2c5 - shape: circle, color: lightgray, location: r4c5 - shape: circle, color: lightgray, location: r2c1 - shape: circle, color: lightgray, location: r2c2 ## Initial Sudoku Board ## . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ## Answer Format ## Please provide your answer at the end of your response. Put your answer within tags <ANSWER></ANSWER>. Your answer will be a sequence of 6x6 = 36 digits. For example, the format should look like <ANSWER> 1234567... </ANSWER>
635142142635524361361524416253253416
You are a professional Sudoku puzzle solver. Please solve the following Sudoku variant. ## Format Explanation ## Coordinates: - We will use r{x}c{y} coordinates. For example, r1c1 is the top-left cell at row 1 column 1, r1c2 is the cell to the right at row 1 column 2, r2c1 is the cell below at row 2 column 1, and so on. Visual Elements: - Any visual elements will be described in text using rxcy coordinates. - Please note the visual elements will be described as-is. If a thermo or arrow appears on the board, the location of the circle or bulb will be listed, and the line or arrow will be listed as a separate object. But you can infer they are part of the same object by their coordinates. - If a visual element is described as "between" two cells, it means the visual element appears on the edge between the two cells. - In some puzzles there may be visual elements outside of the grid and these will be described using the same coordinate system. For example an arrow in r0c1 pointing to the lower right means there is an arrow above r1c1 that points in the direction of the diagonal: r1c2, r2c3, etc. ## Tips ## - In solving the puzzle it often helps to understand that there exists a unique solution. - It therefore helps to focus on what values must be forced given the puzzle constraints, and given the fact that the solution is unique. - All information is provided and is sufficient to solve the puzzle. ## Size ## 6 x 6 ## Rules ## Normal 6x6 sudoku rules apply. ie place the digits 1-6 once each into each row, column and 2x3 region. Digits on pink ('renban') lines must form a set of consecutive, non-repeating digits. ## Visual Elements ## - line, color: mediumorchid, coords: r2c4 r2c3 r3c3 r3c2 - line, color: mediumorchid, coords: r2c2 r2c1 r1c1 - line, color: mediumorchid, coords: r5c2 r4c3 r3c4 r2c5 - line, color: mediumorchid, coords: r1c5 r1c6 r2c6 - line, color: mediumorchid, coords: r4c5 r4c4 r5c4 r5c3 - line, color: mediumorchid, coords: r6c5 r6c6 r5c6 ## Initial Sudoku Board ## . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6 . . . . . ## Answer Format ## Please provide your answer at the end of your response. Put your answer within tags <ANSWER></ANSWER>. Your answer will be a sequence of 6x6 = 36 digits. For example, the format should look like <ANSWER> 1234567... </ANSWER>
354621216543543162162435435216621354
You are a professional Sudoku puzzle solver. Please solve the following Sudoku variant. ## Format Explanation ## Coordinates: - We will use r{x}c{y} coordinates. For example, r1c1 is the top-left cell at row 1 column 1, r1c2 is the cell to the right at row 1 column 2, r2c1 is the cell below at row 2 column 1, and so on. Visual Elements: - Any visual elements will be described in text using rxcy coordinates. - Please note the visual elements will be described as-is. If a thermo or arrow appears on the board, the location of the circle or bulb will be listed, and the line or arrow will be listed as a separate object. But you can infer they are part of the same object by their coordinates. - If a visual element is described as "between" two cells, it means the visual element appears on the edge between the two cells. - In some puzzles there may be visual elements outside of the grid and these will be described using the same coordinate system. For example an arrow in r0c1 pointing to the lower right means there is an arrow above r1c1 that points in the direction of the diagonal: r1c2, r2c3, etc. ## Tips ## - In solving the puzzle it often helps to understand that there exists a unique solution. - It therefore helps to focus on what values must be forced given the puzzle constraints, and given the fact that the solution is unique. - All information is provided and is sufficient to solve the puzzle. ## Size ## 6 x 6 ## Rules ## Place the digits 1-6, once each, in every row, column, and region. Region borders divide the blue line into segments with the same sum. ## Visual Elements ## - region: r1c1 r2c1 r3c1 r3c2 r4c1 r4c2 - region: r1c2 r1c3 r2c2 r2c3 r3c3 r4c3 - region: r1c4 r1c5 r2c5 r3c5 r4c5 r5c5 - region: r2c4 r3c4 r4c4 r5c4 r6c4 r6c5 - region: r1c6 r2c6 r3c6 r4c6 r5c6 r6c6 - line, color: deepskyblue, coords: r1c4 r1c3 r1c2 - line, color: deepskyblue, coords: r3c4 r2c4 r3c3 r4c3 r3c2 r4c2 r3c1 r2c1 - line, color: deepskyblue, coords: r6c6 r5c6 r4c6 r4c5 r5c5 r4c4 r5c4 r6c5 r6c4 r5c3 r6c2 ## Initial Sudoku Board ## . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ## Answer Format ## Please provide your answer at the end of your response. Put your answer within tags <ANSWER></ANSWER>. Your answer will be a sequence of 6x6 = 36 digits. For example, the format should look like <ANSWER> 1234567... </ANSWER>
421356543621236514615243354162162435
You are a professional Sudoku puzzle solver. Please solve the following Sudoku variant. ## Format Explanation ## Coordinates: - We will use r{x}c{y} coordinates. For example, r1c1 is the top-left cell at row 1 column 1, r1c2 is the cell to the right at row 1 column 2, r2c1 is the cell below at row 2 column 1, and so on. Visual Elements: - Any visual elements will be described in text using rxcy coordinates. - Please note the visual elements will be described as-is. If a thermo or arrow appears on the board, the location of the circle or bulb will be listed, and the line or arrow will be listed as a separate object. But you can infer they are part of the same object by their coordinates. - If a visual element is described as "between" two cells, it means the visual element appears on the edge between the two cells. - In some puzzles there may be visual elements outside of the grid and these will be described using the same coordinate system. For example an arrow in r0c1 pointing to the lower right means there is an arrow above r1c1 that points in the direction of the diagonal: r1c2, r2c3, etc. ## Tips ## - In solving the puzzle it often helps to understand that there exists a unique solution. - It therefore helps to focus on what values must be forced given the puzzle constraints, and given the fact that the solution is unique. - All information is provided and is sufficient to solve the puzzle. ## Size ## 6 x 6 ## Rules ## Place the digits 1-6 once each into every row, column, and 2x3 box. Digits on an arrow have the DIFFERENCE of the digit in the attached circle. An inequality symbol โ€˜points' to the lower digit. An indicated diagonal is read as a 'Look and Say' clue, where the first digit indicates the amount of times the second digit appears along the diagonal. Digits along the blue line must have the same DIFFERENCE within each box it passes through. ## Visual Elements ## - line, color: mediumturquoise, coords: r6c6 r5c5 r4c4 r3c4 r2c5 r1c5 - arrow, color: lightgray, coords (base to tip): r1c3 r2c4 r3c5 - arrow, color: lightgray, coords (base to tip): r1c2 r2c3 r3c4 - arrow, color: lightgray, coords (base to tip): r1c1 r2c2 r3c3 - arrow, color: lightgray, coords (base to tip): r1c4 r2c5 r3c6 - arrow, color: lightgray, coords (base to tip): r3c1 r4c2 r5c1 - diagonal arrow, color: black, in location: r0c0, pointing lower right - diagonal arrow, color: black, in location: r2c7, pointing lower left - shape: circle, color: white (stroke color: lightgray), location: r1c3 - shape: circle, color: white (stroke color: lightgray), location: r1c2 - shape: circle, color: white (stroke color: lightgray), location: r1c1 - shape: circle, color: white (stroke color: lightgray), location: r1c4 - shape: circle, color: white (stroke color: lightgray), location: r3c1 - text: 26, shape: circle, color: white, location: r0c0 - text: 15, shape: circle, color: white, location: r2c7 - text: V, shape: circle, color: white, location: between r1c1 and r2c1 ## Initial Sudoku Board ## . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ## Answer Format ## Please provide your answer at the end of your response. Put your answer within tags <ANSWER></ANSWER>. Your answer will be a sequence of 6x6 = 36 digits. For example, the format should look like <ANSWER> 1234567... </ANSWER>
354126261543423615615432542361136254
You are a professional Sudoku puzzle solver. Please solve the following Sudoku variant. ## Format Explanation ## Coordinates: - We will use r{x}c{y} coordinates. For example, r1c1 is the top-left cell at row 1 column 1, r1c2 is the cell to the right at row 1 column 2, r2c1 is the cell below at row 2 column 1, and so on. Visual Elements: - Any visual elements will be described in text using rxcy coordinates. - Please note the visual elements will be described as-is. If a thermo or arrow appears on the board, the location of the circle or bulb will be listed, and the line or arrow will be listed as a separate object. But you can infer they are part of the same object by their coordinates. - If a visual element is described as "between" two cells, it means the visual element appears on the edge between the two cells. - In some puzzles there may be visual elements outside of the grid and these will be described using the same coordinate system. For example an arrow in r0c1 pointing to the lower right means there is an arrow above r1c1 that points in the direction of the diagonal: r1c2, r2c3, etc. ## Tips ## - In solving the puzzle it often helps to understand that there exists a unique solution. - It therefore helps to focus on what values must be forced given the puzzle constraints, and given the fact that the solution is unique. - All information is provided and is sufficient to solve the puzzle. ## Size ## 6 x 6 ## Rules ## Normal sudoku rules apply. Digits an equal distance from the center of a lavender Zipper Line sum to the same total. For odd-length lines, the total is the digit placed in the line's (circled) center. Digits may repeat on a Zipper Line. ## Visual Elements ## - line, color: thistle, coords: r1c1 r2c1 r3c1 r3c2 r3c3 r3c4 r2c4 r1c4 r1c3 r1c2 - line, color: thistle, coords: r4c1 r5c1 r5c2 r6c2 r5c3 - line, color: thistle, coords: r4c5 r5c5 r6c5 r6c6 r5c6 r4c6 r3c6 - shape: diamond, color: thistle, location: between r3c3 and r3c4 - shape: circle, color: thistle, location: r5c2 - shape: circle, color: thistle, location: r6c6 ## Initial Sudoku Board ## . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ## Answer Format ## Please provide your answer at the end of your response. Put your answer within tags <ANSWER></ANSWER>. Your answer will be a sequence of 6x6 = 36 digits. For example, the format should look like <ANSWER> 1234567... </ANSWER>
512346463251345162126534254613631425
You are a professional Sudoku puzzle solver. Please solve the following Sudoku variant. ## Format Explanation ## Coordinates: - We will use r{x}c{y} coordinates. For example, r1c1 is the top-left cell at row 1 column 1, r1c2 is the cell to the right at row 1 column 2, r2c1 is the cell below at row 2 column 1, and so on. Visual Elements: - Any visual elements will be described in text using rxcy coordinates. - Please note the visual elements will be described as-is. If a thermo or arrow appears on the board, the location of the circle or bulb will be listed, and the line or arrow will be listed as a separate object. But you can infer they are part of the same object by their coordinates. - If a visual element is described as "between" two cells, it means the visual element appears on the edge between the two cells. - In some puzzles there may be visual elements outside of the grid and these will be described using the same coordinate system. For example an arrow in r0c1 pointing to the lower right means there is an arrow above r1c1 that points in the direction of the diagonal: r1c2, r2c3, etc. ## Tips ## - In solving the puzzle it often helps to understand that there exists a unique solution. - It therefore helps to focus on what values must be forced given the puzzle constraints, and given the fact that the solution is unique. - All information is provided and is sufficient to solve the puzzle. ## Size ## 6 x 6 ## Rules ## Standard 6x6 sudoku rules apply. A given cell "sees" a digit if the digit lies in the direction of an arrow on the cell. Each cell with arrows counts the number of digits it sees with the same parity as itself. ## Visual Elements ## - vertical arrow, color: black, in location: r4c4, pointing down - diagonal arrow, color: black, in location: r4c6, pointing lower left - horizontal arrow, color: black, in location: r4c2, pointing right - diagonal arrow, color: black, in location: r4c2, pointing lower left - diagonal arrow, color: black, in location: r2c4, pointing lower left - vertical arrow, color: black, in location: r2c4, pointing down - diagonal arrow, color: black, in location: r3c3, pointing lower left - diagonal arrow, color: black, in location: r3c3, pointing lower right - vertical arrow, color: black, in location: r5c4, pointing up - diagonal arrow, color: black, in location: r5c4, pointing lower right - vertical arrow, color: black, in location: r5c4, pointing down - diagonal arrow, color: black, in location: r2c2, pointing lower right - vertical arrow, color: black, in location: r1c3, pointing down - horizontal arrow, color: black, in location: r1c3, pointing right - horizontal arrow, color: black, in location: r1c3, pointing left - diagonal arrow, color: black, in location: r1c3, pointing lower right ## Initial Sudoku Board ## . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ## Answer Format ## Please provide your answer at the end of your response. Put your answer within tags <ANSWER></ANSWER>. Your answer will be a sequence of 6x6 = 36 digits. For example, the format should look like <ANSWER> 1234567... </ANSWER>
256413413265142536635142564321321654
You are a professional Sudoku puzzle solver. Please solve the following Sudoku variant. ## Format Explanation ## Coordinates: - We will use r{x}c{y} coordinates. For example, r1c1 is the top-left cell at row 1 column 1, r1c2 is the cell to the right at row 1 column 2, r2c1 is the cell below at row 2 column 1, and so on. Visual Elements: - Any visual elements will be described in text using rxcy coordinates. - Please note the visual elements will be described as-is. If a thermo or arrow appears on the board, the location of the circle or bulb will be listed, and the line or arrow will be listed as a separate object. But you can infer they are part of the same object by their coordinates. - If a visual element is described as "between" two cells, it means the visual element appears on the edge between the two cells. - In some puzzles there may be visual elements outside of the grid and these will be described using the same coordinate system. For example an arrow in r0c1 pointing to the lower right means there is an arrow above r1c1 that points in the direction of the diagonal: r1c2, r2c3, etc. ## Tips ## - In solving the puzzle it often helps to understand that there exists a unique solution. - It therefore helps to focus on what values must be forced given the puzzle constraints, and given the fact that the solution is unique. - All information is provided and is sufficient to solve the puzzle. ## Size ## 6 x 6 ## Rules ## Standard rules of Sudoku apply! In every row and column, strings of 3 digits are never all even nor all odd. Digits in a cage sum to the total in the top left. Digits on a thermometer strictly increase from the bulb to the tip. ## Visual Elements ## - killer cage (value 6): r1c1 r2c1 - killer cage (value 6): r6c5 r6c6 - killer cage (value 7): r4c6 r5c6 - killer cage (value 7): r1c6 r2c6 - killer cage (value 7): r1c4 r2c4 - killer cage (value 7): r3c3 r4c3 - line, color: lightgray, coords: r4c5 r5c4 - line, color: lightgray, coords: r3c1 r4c1 - shape: circle, color: lightgray, location: r5c4 - shape: circle, color: lightgray, location: r3c1 ## Initial Sudoku Board ## . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ## Answer Format ## Please provide your answer at the end of your response. Put your answer within tags <ANSWER></ANSWER>. Your answer will be a sequence of 6x6 = 36 digits. For example, the format should look like <ANSWER> 1234567... </ANSWER>
213645456132145263632451524316361524
You are a professional Sudoku puzzle solver. Please solve the following Sudoku variant. ## Format Explanation ## Coordinates: - We will use r{x}c{y} coordinates. For example, r1c1 is the top-left cell at row 1 column 1, r1c2 is the cell to the right at row 1 column 2, r2c1 is the cell below at row 2 column 1, and so on. Visual Elements: - Any visual elements will be described in text using rxcy coordinates. - Please note the visual elements will be described as-is. If a thermo or arrow appears on the board, the location of the circle or bulb will be listed, and the line or arrow will be listed as a separate object. But you can infer they are part of the same object by their coordinates. - If a visual element is described as "between" two cells, it means the visual element appears on the edge between the two cells. - In some puzzles there may be visual elements outside of the grid and these will be described using the same coordinate system. For example an arrow in r0c1 pointing to the lower right means there is an arrow above r1c1 that points in the direction of the diagonal: r1c2, r2c3, etc. ## Tips ## - In solving the puzzle it often helps to understand that there exists a unique solution. - It therefore helps to focus on what values must be forced given the puzzle constraints, and given the fact that the solution is unique. - All information is provided and is sufficient to solve the puzzle. ## Size ## 6 x 6 ## Rules ## Normal 6x6 sudoku rules apply. Digits separated by a black dot are in a 1:2 ratio. The difference between two adjacent digits on a coloured line indicates exactly how many pairs of adjacent digits along that line have that exact difference. ## Visual Elements ## - line, color: plum, coords: r1c1 r1c2 r2c3 - line, color: plum, coords: r6c6 r5c6 r4c5 r3c5 r4c4 - line, color: lightskyblue, coords: r3c6 r2c6 r2c5 r2c4 r3c3 - line, color: palegreen, coords: r3c2 r4c3 r5c4 r5c5 r4c6 - line, color: burlywood, coords: r5c2 r4c2 r3c1 - shape: circle, color: black, location: between r2c3 and r2c4 ## Initial Sudoku Board ## . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ## Answer Format ## Please provide your answer at the end of your response. Put your answer within tags <ANSWER></ANSWER>. Your answer will be a sequence of 6x6 = 36 digits. For example, the format should look like <ANSWER> 1234567... </ANSWER>
643125152436521643436512315264264351
You are a professional Sudoku puzzle solver. Please solve the following Sudoku variant. ## Format Explanation ## Coordinates: - We will use r{x}c{y} coordinates. For example, r1c1 is the top-left cell at row 1 column 1, r1c2 is the cell to the right at row 1 column 2, r2c1 is the cell below at row 2 column 1, and so on. Visual Elements: - Any visual elements will be described in text using rxcy coordinates. - Please note the visual elements will be described as-is. If a thermo or arrow appears on the board, the location of the circle or bulb will be listed, and the line or arrow will be listed as a separate object. But you can infer they are part of the same object by their coordinates. - If a visual element is described as "between" two cells, it means the visual element appears on the edge between the two cells. - In some puzzles there may be visual elements outside of the grid and these will be described using the same coordinate system. For example an arrow in r0c1 pointing to the lower right means there is an arrow above r1c1 that points in the direction of the diagonal: r1c2, r2c3, etc. ## Tips ## - In solving the puzzle it often helps to understand that there exists a unique solution. - It therefore helps to focus on what values must be forced given the puzzle constraints, and given the fact that the solution is unique. - All information is provided and is sufficient to solve the puzzle. ## Size ## 6 x 6 ## Rules ## Normal 6x6 sudoku rules apply. Draw 6 lines, each with a different turquoise spot at both ends. Each line must occupy at least 3 cells, and may move orthogonally and diagonally. Lines may not branch, cross each other, or share cells. Each line is a 'same difference' line. Every pair of adjacent cells along a line has the same difference - this is its 'difference value.' Every line has a different 'difference value'. Digits in a cage sum to the total in the corner. ## Visual Elements ## - killer cage (value 11): r1c3 r2c3 - killer cage (value 6): r6c3 r6c4 r6c5 - killer cage (value 8): r1c4 r2c4 - shape: circle, color: aquamarine, location: r5c2 - shape: circle, color: aquamarine, location: r2c5 - shape: circle, color: aquamarine, location: r1c3 - shape: circle, color: aquamarine, location: r6c5 - shape: circle, color: aquamarine, location: r4c6 - shape: circle, color: aquamarine, location: r6c3 - shape: circle, color: aquamarine, location: r5c4 - shape: circle, color: aquamarine, location: r6c2 - shape: circle, color: aquamarine, location: r4c1 - shape: circle, color: aquamarine, location: r5c3 - shape: circle, color: aquamarine, location: r2c3 - shape: circle, color: aquamarine, location: r1c6 ## Initial Sudoku Board ## . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ## Answer Format ## Please provide your answer at the end of your response. Put your answer within tags <ANSWER></ANSWER>. Your answer will be a sequence of 6x6 = 36 digits. For example, the format should look like <ANSWER> 1234567... </ANSWER>
436521125346563412214653341265652134
You are a professional Sudoku puzzle solver. Please solve the following Sudoku variant. ## Format Explanation ## Coordinates: - We will use r{x}c{y} coordinates. For example, r1c1 is the top-left cell at row 1 column 1, r1c2 is the cell to the right at row 1 column 2, r2c1 is the cell below at row 2 column 1, and so on. Visual Elements: - Any visual elements will be described in text using rxcy coordinates. - Please note the visual elements will be described as-is. If a thermo or arrow appears on the board, the location of the circle or bulb will be listed, and the line or arrow will be listed as a separate object. But you can infer they are part of the same object by their coordinates. - If a visual element is described as "between" two cells, it means the visual element appears on the edge between the two cells. - In some puzzles there may be visual elements outside of the grid and these will be described using the same coordinate system. For example an arrow in r0c1 pointing to the lower right means there is an arrow above r1c1 that points in the direction of the diagonal: r1c2, r2c3, etc. ## Tips ## - In solving the puzzle it often helps to understand that there exists a unique solution. - It therefore helps to focus on what values must be forced given the puzzle constraints, and given the fact that the solution is unique. - All information is provided and is sufficient to solve the puzzle. ## Size ## 6 x 6 ## Rules ## Normal 6x6 sudoku rules apply. Digits along a diagonal marked by an arrow sum to the digit on the arrow, if one is given. Any digit along an 'arrow diagonal' indicates exactly how many arrow diagonals contain that digit. Eg: if there is a digit 3 somewhere along an arrow diagonal, then exactly 3 arrow diagonals contain at least one 3. ## Visual Elements ## - diagonal arrow, color: cornflowerblue, in location: r7c3, pointing upper left - diagonal arrow, color: cornflowerblue, in location: r7c4, pointing upper left - diagonal arrow, color: cornflowerblue, in location: r6c7, pointing upper left - diagonal arrow, color: cornflowerblue, in location: r5c7, pointing upper left - diagonal arrow, color: cornflowerblue, in location: r4c7, pointing upper left - diagonal arrow, color: cornflowerblue, in location: r3c7, pointing upper left - diagonal arrow, color: cornflowerblue, in location: r3c0, pointing upper right - text: 7, shape: circle, location: r3c7 - text: 9, shape: circle, location: r4c7 - text: 8, shape: circle, location: r7c4 - text: ?, shape: circle, location: r7c3 - text: ?, shape: circle, location: r6c7 - text: ?, shape: circle, location: r5c7 - text: ?, shape: circle, location: r3c0 ## Initial Sudoku Board ## . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ## Answer Format ## Please provide your answer at the end of your response. Put your answer within tags <ANSWER></ANSWER>. Your answer will be a sequence of 6x6 = 36 digits. For example, the format should look like <ANSWER> 1234567... </ANSWER>
241536563124614352325641436215152463
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