xkcd-Name-Dominoes.ipynb
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Peter Norvig authored and 
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1 file changed
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-37
@@ -102,22 +102,16 @@
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{
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"data": {
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"text/plain": [
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"{(0, 0): 'GR',\n",
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" (0, 1): 'KE',\n",
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" (0, 2): 'KE',\n",
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" (0, 3): 'RY',\n",
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" (1, 0): 'GR',\n",
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" (1, 3): 'RY',\n",
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" (1, 4): 'JA',\n",
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" (2, 0): 'JO',\n",
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" (2, 4): 'JA',\n",
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" (2, 5): 'KE',\n",
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" (3, 0): 'JO',\n",
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" (3, 1): 'KE',\n",
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" (3, 3): 'BO',\n",
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" (3, 4): 'JA',\n",
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" (4, 4): 'JA',\n",
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" (5, 4): 'PO'}"
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"{(0, 0): 'RY',\n",
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" (1, 0): 'KE',\n",
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" (1, 1): 'KE',\n",
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" (2, 1): 'JO',\n",
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" (2, 2): 'JO',\n",
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" (3, 2): 'GR',\n",
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" (3, 3): 'GR',\n",
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" (3, 4): 'KE',\n",
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" (4, 4): 'KE',\n",
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" (4, 5): 'JA'}"
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]
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},
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"execution_count": 2,
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@@ -141,8 +135,7 @@
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"Technically, this is a legal solution, but there are two problems with it: One, it is not visual. Two, it doesn't say where each tile is: when three names come together, which of the outside names goes with the middle name? To fix those two problems I will:\n",
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"\n",
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"- Define `plot_board(board)` to use `matplotlib` to plot the board, the names, and the tiles.\n",
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"- Modify the `Board` class and the `put` function so that the board maintains a list of `boxes` that surround each two-location rectangle that a tile occupies. A box is a 4-tuple, `(x0, y0, x1, y1)`, holding the `x, y` coordinates\n",
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"of the upper-left and lower-right corners of a box. The constant ϵ is the distance between two adjacent tiles; we want them to not-quite touch (as in the xkcd comic)."
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"- Modify the `Board` class and the `put` function so that the board maintains a list of `boxes` that surround each two-location rectangle that a tile occupies: `[loc0, loc1]`. The constant ϵ is the distance between two adjacent tiles; we want them to not-quite touch (as in the xkcd comic)."
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]
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},
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{
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@@ -170,13 +163,16 @@
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" plt.axis('equal')\n",
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" for box in board.boxes:\n",
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" plot_box(box)\n",
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" plot_box([(-2*ϵ, -2*ϵ), (board.width - 1 + 2*ϵ, board.height - 1 + 2*ϵ)])\n",
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" for (x, y) in board:\n",
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" plt.text(x + 0.5, y + 0.3, board[x, y], ha='center', fontsize=8)\n",
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" plot_box((-2*ϵ, -2*ϵ, board.width + ϵ, board.height + ϵ))\n",
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" plt.text(x + 0.5, y + 0.5, board[x, y], \n",
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" va='center', ha='center', fontsize=8)\n",
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"\n",
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"def plot_box(box):\n",
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" \"Plot a box.\"\n",
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" x0, y0, x1, y1 = box\n",
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" \"Plot a box, which is a [loc0, loc1] pair.\"\n",
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" Xs, Ys = {loc[0] for loc in box}, {loc[1] for loc in box}\n",
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" x0, x1 = min(Xs), max(Xs) + 1 - ϵ\n",
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" y0, y1 = min(Ys), max(Ys) + 1 - ϵ\n",
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" plt.plot([x0, x1, x1, x0, x0], \n",
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" [y0, y0, y1, y1, y0], 'k-')\n",
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"\n",
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@@ -186,8 +182,7 @@
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" frontier -= {loc0, loc1}\n",
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" frontier |= {loc for loc in neighbors(loc0, board) + neighbors(loc1, board)\n",
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" if board[loc] is empty}\n",
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" Xs, Ys = {loc0[0], loc1[0]}, {loc0[1], loc1[1]}\n",
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" board.boxes.append((min(Xs), min(Ys), max(Xs) + 1 - ϵ, max(Ys) + 1 - ϵ)) "
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" board.boxes.append([loc0, loc1]) "
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]
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},
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{
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@@ -197,9 +192,9 @@
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"outputs": [
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{
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"data": {
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"image/png": 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truncated
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"image/png": "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 truncated
|
||||
"text/plain": [
|
||||
"<matplotlib.figure.Figure at 0x10f6e9320>"
|
||||
"<matplotlib.figure.Figure at 0x110568940>"
|
||||
]
|
||||
},
|
||||
"metadata": {},
|
||||
@@ -304,16 +299,16 @@
|
||||
{
|
||||
"data": {
|
||||
"text/plain": [
|
||||
"[('JAMES', 'COOK'),\n",
|
||||
"[('JAMES EARL', 'RAY'),\n",
|
||||
" ('BURT', 'REYNOLDS'),\n",
|
||||
" ('CHRISTOPHER', 'COLUMBUS'),\n",
|
||||
" ('KRISTEN', 'STEWART'),\n",
|
||||
" ('FAT', 'JOE'),\n",
|
||||
" ('HAROLD', 'LLOYD'),\n",
|
||||
" ('ISAAC', 'HAYES'),\n",
|
||||
" ('MARTHA', 'WASHINGTON'),\n",
|
||||
" ('JAMES', 'MONROE'),\n",
|
||||
" ('HANK', 'WILLIAMS'),\n",
|
||||
" ('LANGSTON', 'HUGHES'),\n",
|
||||
" ('WARREN', 'BUFFETT'),\n",
|
||||
" ('ROBIN', 'WILLIAMS'),\n",
|
||||
" ('JAMES', 'BRADY'),\n",
|
||||
" ('OSCAR DE LA', 'RENTA')]"
|
||||
" ('PAUL', 'RYAN'),\n",
|
||||
" ('GENE', 'KELLY'),\n",
|
||||
" ('MEGYN', 'KELLY')]"
|
||||
]
|
||||
},
|
||||
"execution_count": 7,
|
||||
@@ -409,9 +404,9 @@
|
||||
"outputs": [
|
||||
{
|
||||
"data": {
|
||||
"image/png": 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truncated
|
||||
"image/png": 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truncated
|
||||
"text/plain": [
|
||||
"<matplotlib.figure.Figure at 0x10f6e9c50>"
|
||||
"<matplotlib.figure.Figure at 0x11058c668>"
|
||||
]
|
||||
},
|
||||
"metadata": {},
|
||||
|
||||
Reference in new issue
Block a user