ひとりにしてくれ(Hitori) ルールと解き方

ひとりにしてくれ(Hitori) ルールと解き方Rules and how to solve Hitori.

日本語

english

ルール Rules

次の条件に合うように各枡を白枡か黒枡に設定します。 Set each cell as a white cell or a black cell to meet the following conditions.
同じ縦列または横列にある同じ数字は多くても一つしか白枡にはなりません。 At most one same number in the same column or row can be a white cell.
黒枡の上下左右の隣枡は白枡になります。 The next, upper, lower, left, and right sides of the black cell are white cell.
斜めに繋がった黒枡が盤面を分断することはありません。（すべての白枡は上下左右の白枡で一つながりになります。） Diagonally connected black cell do not separate the board.(All white cells are connected by the white cell at the top, bottom, left and right.)

解くコツ Tips for solving

解くポイントは、同じ数字が一つ飛んであればどちらかは必ず黒枡になるので　真ん中の枡は白枡になります。 また同じ行/列で同じ数字が並んであり、他にもう一つ同じ数字があればこれは黒枡になります。このようなところから注目していきます。
それでは例題で説明します。
以下の説明では黒枡になるか白枡になるか未定の枡は灰色で、確定すれば黒色、白色で表示しています。印刷されたパズルを解く時には白桝に確定した枡に斜線を引くなどしても良いでしょう。 The point to be solved is that if the same number is skipped by one, either one will always be a blackcell, so the middle cell will be a white cell. Also, if the same number cells are lined up in the same row / column and there is another same number, this will be a black cell. Pay attention from such a place.
Let me explain with an example. In the following description, the cell which is undesided to black or white are shown in gray. Once confirmed, it is displayed in black and white. When solving the printed puzzle, you may draw a diagonal line on the square that has been determined as a white square.

次の図が問題です。ひとつ飛んで同じ数字の枡がないか、同じ数字が並んでいるところがないかに注目してみます。 The following figure is the problem. Attention should be paid to where the same number cells are lied up with one cell or no cell space.
まず赤い枠のところに注目してください。一番左側で上から2枡目の赤枠の4の上下の枡の問題数字は１ですので、どちらかの１は黒になります。従ってこの赤い枠の4は白枡になります。同様に左から３列目上から２行目の４にはさまれた赤枠の５も白枡になります。同じように左から２列目、上から5行目の左右が２に挟まれた緑枠の５、4行目の左右を４にはさまれた緑枠の３も白枡になります。また左上端の青い枠の１は一番左の縦列の上から3行目４行目に水色枠の１が並んでおり、どちらかが白になりますので左上端の青枠の１は黒になります。 First, pay attention to the red framed cell. Since the problem number of the cell above and below the red framed cell 4 in the second cell from the top on the leftmost side is 1, either 1 is black. Therefore, 4 in this red framed cell becomes a white cell. Similarly, the red frame 5 sandwiched between 4 in the third column from the left and the second row from the top is also a white cell. Similarly, the green framed 5 in the second column from the left and the fifth row from the top and sandwiched between 2 is a white cell,The green framed 3 of the fourth row which is between the left and right side 4 is also a white cell. In the third and fourth lines from the top, 1 in the light blue framed cells are lined up, and one of them is white, so the 1 in the blue framed cell at the upper left becomes black.
今度は右上の２と３の固まりに注目してください。赤い枠の枡が黒枡なら青い枠の枡は白枡に、逆に赤い枠の枡が白枡なら青い枠の枡は黒枡になりますが、青い枠の枡が黒枡になると右上端の２が分断された白枡になってしまいます。従って青い枠の枡が白枡に、赤い枠の枡が黒枡になります。また黒枡の上下左右の隣枡は白枡になりますので左から２列目上から1行目の緑枠の３、左から４列目上から３行目の緑枠の３も白枡になります。 Now look at the cluster of 2 and 3 in the upper right. If the red frames are black, the blue frames are white, and if the red frames are white, the blue frames are black. But if the blue framed cells becomes black then the upper right corner 2 will become a separated white by blue framed black cells. Therefore, the blue framed cells are white and the red framed cells are black. In addition, the top, bottom, left, and right neighbors of the black cell are white cells, so the green framed 3 in the first row from the second column from the left and the green framed 3 in the third row from the top in the fourth column from the left are also white cells.
緑色の枠の枡の４と５が黒枡になるとどちらも盤面を分断することになりますので白枡です。同じ行・列の同じ数字はひとつしか白枡にられませんので青色の４は黒枡になります。すると赤い枠の枡の１は白枡で無いと盤面を分断してしまいます。黒枡の隣は白枡です。 If the green cells 4 and 5 become black cells, they will both divide the board, so they are white cells. The same number in the same row / column can only be in one white cell, so blue 4 is a black cell. Then, if one of the cells in the red frame is not a white cell, the board will be divided to two white cell chain. Next to the black cell is a white cell.
今度は下から２行目の緑色の枠の枡の４は少なくともどちらかが黒枡になりますので、最下行の青い枠の枡の２は白枡にならないと盤面を分断してしまいます。青い枠の枡が白枡なら赤い枠の枡の２は黒枡で、黒枡の隣枡は白枡です。 This time, at least one of the green cells 4 in the second row from the bottom is a black cell, so if the blue cell 2 in the bottom row is not a white cell, the board will be divided. If the blue frame is a white one, the red framed 2 is a black and the cell next to black cell is a white cell.
赤い枠の枡の１は隣の１が白枡ですので黒枡に、青い枠の４は盤面を分断しないように白枡に、すると緑色の枠の４は黒枡となり、その周りの枡も決定できます。 1 of the red frame is a black because the next 1 is a white cell. The blue frame 4 is a white cell so as not to divide the board, and the green frame 4 is a black cell. The surrounding cell of them can also be determined.
これが正解なります。 This is the correct solution.
次に手筋のパターンを幾つか紹介しましょう。まずは基本形です。右下の赤い1です。同じ数字が一枡空けて二つある時は真ん中の挟まれた枡は白桝になります。次は左上のピンク色の1です。同じ縦/横列に二つ並んだ数字が他にもあれば　並んでないものは黒枡になります。次は右上の黄色で囲まれた2と4です。同じ数字が2個ずつ並び4枡のブロックになっていると一方の対角枡が白枡、他の対角枡が黒枡になります。このブロックが盤面の隅にあれば白桝が分断されないよう図のように決まります。同じように上部の紫色で囲まれた5,6,7のように　同じ数字2個ずつが3組で6枡のブロックができていればジグザク状に白桝、黒枡が決まります。紫色で囲まれた5,6,7のように3枡が盤面端にある時は　図のように白桝、黒枡が決まります。白黒が逆になると白桝の分断ができるからです。この6枡のブロックが黄緑、緑色の5,6,7のように盤面端にない時は5,6,7の白桝、黒枡は決められませんが、3枡並んだ側の中央の隣枡は図のように白桝になります。黄緑色の5,6,7が黒枡なら緑枠の4は黒枡による白桝分断が起きないよう白桝となり、緑色の5,6,7が黒枡なら緑枠の4は黒枡の隣となり白桝になるからです。また6個のブロックの2個側が盤面端に接していれば　図の水色枠、青色枠のように白桝が決まります。この6個のブロックは数字2種類でも成り立ちます。 Next, let's introduce some patterns of methods to solve. At first it is basic form. It is a red one at the bottom right.If two same number is a space apart, the middle cell will be a white cell. Next is the pink 1 at the top left.If there are two same number cells arranged in the same column / row, anothe same number cell that are not arranged will be black cells. Next are 2 and 4 in yellow at the top right. If the same numbers are arranged two by two to form a block of four cells, one diagonal cell will be a white cell and the other diagonal cell will be a black cell. If this block is in the corner of the board, it will be determined as shown in the figure so that the white cells are not divided. Similarly, as shown in 5,6,7 surrounded by purple at the top, if there are 3 blocks of 6 sets of 2 each with the same number, white and black squares are determined in a zigzag shape. When three squares are at the edge of the board, such as 5, 6, and 7 surrounded by purple, white squares and black squares are determined as shown in the figure. When black and white are reversed, white cells will be separated. When the block of these 6 squares is not at the edge of the board like yellow green and green 5,6,7, the white square and black square of 5,6,7 cannot be determined. If yellow-green 5, 6, and 7 are black cells, green frame 4 is a white cell so that black cells do not cause white cells to break. If greens 5, 6, and 7 are black cells, green framed 4 is next to black cells and becomes white cells. If two sides of the six blocks are in contact with the edge of the board, a white cell is determined as shown in the blue frame and sky blue frame in the figure.These six blocks can be made up of two numbers.
次の図の左下の赤枠と桃色枠の1に注目します。赤枠1が白桝になると桃色枠の1が黒枡となり白枡の分断ができますので　赤枠の1が黒枡に、桃色枠の1が白桝になります。次は右上のように黒枡が決まった所を考えます。水色枠の2が白桝になると二つの青枠の2が黒枡となり白枡の分断ができますので、水色の2が黒枡に、青色枠の2が白桝になります。この最右列で考えて、水色枠と青色枠の2のようにどちらかが白桝になることが分かれば同じ列にある同じ数字（白枠の2）は黒枡になります。左上の黄緑色枠と緑色枠の数字のように同じ数字が2個ずつ配置されると黄緑枠の数字が黒枡に、緑色枠の数字が白桝になります。黄色枠と橙色枠の3,4,5,6のような配置では　黄色枠がすべて白枡・橙色枠がすべて黒枡となるか黄色枠がすべて黒枡・橙色枠がすべて白枡となるかのどちらかです。さらに前の図の同じ数字2個ずつのブロックと同じように薄紫色の枡は白桝になります。ほかにもいろいろなパターンがあります。 Notice the red frame and pink frame 1 in the lower left of the following figure. When the red frame 1 becomes a white cell, the pink frame 1 becomes a black cell and the white cell can be divided, so the red frame 1 becomes a black cell and the pink frame 1 becomes a white cell. Next, consider the place where the black mas is decided like the upper right. When the light blue frame 2 becomes a white cell, the two blue frames 2 become black cell and the white cell can be divided, so the light blue 2 becomes a black cell and the blue frame 2 becomes a white cell. If two identical numbers are placed like the yellow-green frame and the green frame in the upper left, the numbers in the yellow-green frame become black cells and the numbers in the green frame become white cells. In an arrangement such as 3, 4, 5, and 6 of a yellow frame and an orange frame, Whether all yellow frames are white cells and orange frames are all black cells, or all yellow frames are black cells and all orange frames are white cells Is either. In addition, the light purple cell is a white cell, just like the two blocks with the same number in the previous figure. There are many other patterns.

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次の図が問題です。ひとつ飛んで同じ数字の枡がないか、同じ数字が並んでいるところがないかに注目してみます。 The following figure is the problem. Attention should be paid to where the same number cells are lied up with one cell or no cell space.
まず赤い枠のところに注目してください。一番左側で上から2枡目の赤枠の4の上下の枡の問題数字は１ですので、どちらかの１は黒になります。従ってこの赤い枠の4は白枡になります。同様に左から３列目上から２行目の４にはさまれた赤枠の５も白枡になります。同じように左から２列目、上から5行目の左右が２に挟まれた緑枠の５、4行目の左右を４にはさまれた緑枠の３も白枡になります。また左上端の青い枠の１は一番左の縦列の上から3行目４行目に水色枠の１が並んでおり、どちらかが白になりますので左上端の青枠の１は黒になります。 First, pay attention to the red framed cell. Since the problem number of the cell above and below the red framed cell 4 in the second cell from the top on the leftmost side is 1, either 1 is black. Therefore, 4 in this red framed cell becomes a white cell. Similarly, the red frame 5 sandwiched between 4 in the third column from the left and the second row from the top is also a white cell. Similarly, the green framed 5 in the second column from the left and the fifth row from the top and sandwiched between 2 is a white cell,The green framed 3 of the fourth row which is between the left and right side 4 is also a white cell. In the third and fourth lines from the top, 1 in the light blue framed cells are lined up, and one of them is white, so the 1 in the blue framed cell at the upper left becomes black.
今度は右上の２と３の固まりに注目してください。赤い枠の枡が黒枡なら青い枠の枡は白枡に、逆に赤い枠の枡が白枡なら青い枠の枡は黒枡になりますが、青い枠の枡が黒枡になると右上端の２が分断された白枡になってしまいます。従って青い枠の枡が白枡に、赤い枠の枡が黒枡になります。また黒枡の上下左右の隣枡は白枡になりますので左から２列目上から1行目の緑枠の３、左から４列目上から３行目の緑枠の３も白枡になります。 Now look at the cluster of 2 and 3 in the upper right. If the red frames are black, the blue frames are white, and if the red frames are white, the blue frames are black. But if the blue framed cells becomes black then the upper right corner 2 will become a separated white by blue framed black cells. Therefore, the blue framed cells are white and the red framed cells are black. In addition, the top, bottom, left, and right neighbors of the black cell are white cells, so the green framed 3 in the first row from the second column from the left and the green framed 3 in the third row from the top in the fourth column from the left are also white cells.
緑色の枠の枡の４と５が黒枡になるとどちらも盤面を分断することになりますので白枡です。同じ行・列の同じ数字はひとつしか白枡にられませんので青色の４は黒枡になります。すると赤い枠の枡の１は白枡で無いと盤面を分断してしまいます。黒枡の隣は白枡です。 If the green cells 4 and 5 become black cells, they will both divide the board, so they are white cells. The same number in the same row / column can only be in one white cell, so blue 4 is a black cell. Then, if one of the cells in the red frame is not a white cell, the board will be divided to two white cell chain. Next to the black cell is a white cell.
今度は下から２行目の緑色の枠の枡の４は少なくともどちらかが黒枡になりますので、最下行の青い枠の枡の２は白枡にならないと盤面を分断してしまいます。青い枠の枡が白枡なら赤い枠の枡の２は黒枡で、黒枡の隣枡は白枡です。 This time, at least one of the green cells 4 in the second row from the bottom is a black cell, so if the blue cell 2 in the bottom row is not a white cell, the board will be divided. If the blue frame is a white one, the red framed 2 is a black and the cell next to black cell is a white cell.
赤い枠の枡の１は隣の１が白枡ですので黒枡に、青い枠の４は盤面を分断しないように白枡に、すると緑色の枠の４は黒枡となり、その周りの枡も決定できます。 1 of the red frame is a black because the next 1 is a white cell. The blue frame 4 is a white cell so as not to divide the board, and the green frame 4 is a black cell. The surrounding cell of them can also be determined.
これが正解なります。 This is the correct solution.
次に手筋のパターンを幾つか紹介しましょう。まずは基本形です。右下の赤い1です。同じ数字が一枡空けて二つある時は真ん中の挟まれた枡は白桝になります。次は左上のピンク色の1です。同じ縦/横列に二つ並んだ数字が他にもあれば　並んでないものは黒枡になります。次は右上の黄色で囲まれた2と4です。同じ数字が2個ずつ並び4枡のブロックになっていると一方の対角枡が白枡、他の対角枡が黒枡になります。このブロックが盤面の隅にあれば白桝が分断されないよう図のように決まります。同じように上部の紫色で囲まれた5,6,7のように　同じ数字2個ずつが3組で6枡のブロックができていればジグザク状に白桝、黒枡が決まります。紫色で囲まれた5,6,7のように3枡が盤面端にある時は　図のように白桝、黒枡が決まります。白黒が逆になると白桝の分断ができるからです。この6枡のブロックが黄緑、緑色の5,6,7のように盤面端にない時は5,6,7の白桝、黒枡は決められませんが、3枡並んだ側の中央の隣枡は図のように白桝になります。黄緑色の5,6,7が黒枡なら緑枠の4は黒枡による白桝分断が起きないよう白桝となり、緑色の5,6,7が黒枡なら緑枠の4は黒枡の隣となり白桝になるからです。また6個のブロックの2個側が盤面端に接していれば　図の水色枠、青色枠のように白桝が決まります。この6個のブロックは数字2種類でも成り立ちます。 Next, let's introduce some patterns of methods to solve. At first it is basic form. It is a red one at the bottom right.If two same number is a space apart, the middle cell will be a white cell. Next is the pink 1 at the top left.If there are two same number cells arranged in the same column / row, anothe same number cell that are not arranged will be black cells. Next are 2 and 4 in yellow at the top right. If the same numbers are arranged two by two to form a block of four cells, one diagonal cell will be a white cell and the other diagonal cell will be a black cell. If this block is in the corner of the board, it will be determined as shown in the figure so that the white cells are not divided. Similarly, as shown in 5,6,7 surrounded by purple at the top, if there are 3 blocks of 6 sets of 2 each with the same number, white and black squares are determined in a zigzag shape. When three squares are at the edge of the board, such as 5, 6, and 7 surrounded by purple, white squares and black squares are determined as shown in the figure. When black and white are reversed, white cells will be separated. When the block of these 6 squares is not at the edge of the board like yellow green and green 5,6,7, the white square and black square of 5,6,7 cannot be determined. If yellow-green 5, 6, and 7 are black cells, green frame 4 is a white cell so that black cells do not cause white cells to break. If greens 5, 6, and 7 are black cells, green framed 4 is next to black cells and becomes white cells. If two sides of the six blocks are in contact with the edge of the board, a white cell is determined as shown in the blue frame and sky blue frame in the figure.These six blocks can be made up of two numbers.
次の図の左下の赤枠と桃色枠の1に注目します。赤枠1が白桝になると桃色枠の1が黒枡となり白枡の分断ができますので　赤枠の1が黒枡に、桃色枠の1が白桝になります。次は右上のように黒枡が決まった所を考えます。水色枠の2が白桝になると二つの青枠の2が黒枡となり白枡の分断ができますので、水色の2が黒枡に、青色枠の2が白桝になります。この最右列で考えて、水色枠と青色枠の2のようにどちらかが白桝になることが分かれば同じ列にある同じ数字（白枠の2）は黒枡になります。左上の黄緑色枠と緑色枠の数字のように同じ数字が2個ずつ配置されると黄緑枠の数字が黒枡に、緑色枠の数字が白桝になります。黄色枠と橙色枠の3,4,5,6のような配置では　黄色枠がすべて白枡・橙色枠がすべて黒枡となるか黄色枠がすべて黒枡・橙色枠がすべて白枡となるかのどちらかです。さらに前の図の同じ数字2個ずつのブロックと同じように薄紫色の枡は白桝になります。ほかにもいろいろなパターンがあります。 Notice the red frame and pink frame 1 in the lower left of the following figure. When the red frame 1 becomes a white cell, the pink frame 1 becomes a black cell and the white cell can be divided, so the red frame 1 becomes a black cell and the pink frame 1 becomes a white cell. Next, consider the place where the black mas is decided like the upper right. When the light blue frame 2 becomes a white cell, the two blue frames 2 become black cell and the white cell can be divided, so the light blue 2 becomes a black cell and the blue frame 2 becomes a white cell. If two identical numbers are placed like the yellow-green frame and the green frame in the upper left, the numbers in the yellow-green frame become black cells and the numbers in the green frame become white cells. In an arrangement such as 3, 4, 5, and 6 of a yellow frame and an orange frame, Whether all yellow frames are white cells and orange frames are all black cells, or all yellow frames are black cells and all orange frames are white cells Is either. In addition, the light purple cell is a white cell, just like the two blocks with the same number in the previous figure. There are many other patterns.