From 94baa700a6adccacd4693f3b4ece8f03ddc9b991 Mon Sep 17 00:00:00 2001 From: Peter Norvig Date: Sun, 31 Dec 2017 20:19:48 -0800 Subject: [PATCH] Added Keybee keyboard to `Gesture Typing.ipynb` --- ipynb/Gesture Typing.ipynb | 233 ++++++++++++++++++++++++------------- 1 file changed, 154 insertions(+), 79 deletions(-) diff --git a/ipynb/Gesture Typing.ipynb b/ipynb/Gesture Typing.ipynb index a4b8f75..9334a3b 100644 --- a/ipynb/Gesture Typing.ipynb +++ b/ipynb/Gesture Typing.ipynb @@ -639,7 +639,7 @@ { "data": { "text/plain": [ - "3.233309780212764" + "3.2333097802127653" ] }, "execution_count": 21, @@ -710,7 +710,7 @@ "data": { "image/png": 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44/tkTCZUVFRQUVGRkbqD3odRjteGcRTwFaBUVbsH2oDIY8BGVb2y\nhddPAS7xG73HAb/NZqN3Oj/8IYwcCRdfvONry5bdytq1D1NSciTDhz+69T6LeDLOJ+s+IekmUZSn\n5zzNPz/9BwctqWVcdQ8iR54KY8eSU9fAyTfcz4GTp7EgN8ILPUp4at8+LF27ll/96ldMOnsSIoIj\nDo5/WcsRh5ATojZWy19n/RVXd5yz44aKGzhl6CnkhfN2eG1Y6TBKC0q3q88RZ+t2BGFErxEc1Pug\nVo+LG3Nxoy5TyqYw4skRSDjYWW+kV4RuR2X32tLSpfD226C6/cN1d1x+7TWort4+YSxeDFdeCT/6\nUfb2wZgguqoN43K8BHEUEMfvUus/Zqum+ZbasY7xwH/xuuWq/7gWGAioqt7vl7sXmIjXrfbC5u0X\nfpmsJYyrroJnn4WBA71r+0cfDb/4hfdaPL6Z6ur3mTPnTI46ag3hcEnaOurj9UxbPY05cybzn4+f\n8bo4FRdv/RZakFPDKfNcLpqW5A9jc6joF2VBb4eICK4oCrgCipIUGFlfxIzZ47f/Sdz0ADY0bKQu\nXo+KoCGH93/8Ler69mRL4xbmbZyHqy6qiquu9xzdum5N7RreXf4uh/Q9hJcnvcy+xfu2enwWXrGQ\nxs8bWy2TatMLmygYXkDe4B2TWasc6HFCD3qe0pNwSZicfXKydiPkLbd4ZynNf0Q0Dyd1+bDDtt3f\nY0xX6aqEcRf+vRequqYzNrYzspkwtmzxvt8bG2H9ejjvPO9yRqpbbhnIqlVfIBbLB4T33ruQefO+\nnLY+UZeRjVMJaxxBiYSVu+9SuncH/vEPpk+ezIgFC3ggEuGV0lKqHYfBRx/N/hMm4IZCRJPVvLbg\neu47+B7U/0YqAw4MhbzrZ+D9PG769ze/gRtvhK98JdD+qiqfbfqMM585kz9/5c+MK9/hhG+nJOuT\nVL1bhSba9/9ZN7eOza9upm52HfENcQpHFlJwYAGI90fR1NOs3cu0XSZSGmHgdQO3JqiZM+HnP/fO\nQJo0/3imLn/yibc8tp1X7g48EH796/a9x5hUXdqtdleRzYTR3NKlXvJIFYu9h+uuACAen0l9/W2U\nlS0lFBrUZn1nnQWXXQbDh8MRR0BF3WZiTz7Jfn//O72XLSMWj1O7fj2oIoAjIN2Fgvy+iCooxJMJ\nimNxcuNx8vx+sgLeN1pente621oXI8eBAQO29bEV4f2V79OroBfd8puuPnpnMFs/eeJ/m4ZD1A8d\njObmAELd6BHUHH0EIoIg5IXzGNlnZJBDG1h8S5zK1ypRf/+bHm0tQ9tl0r1n8U8Wc3TV0YTyt+8M\nEFRVFbzzTvveU1PjfS7Wd8HsMzYn2J7LEsZuYPr0cQwZcjfduqXpntPMzTd7U3F8/jmsWQN9+6Yv\n5zheT6E1a48ievH7kNrDR0LeB8NRkCShxlL6fXYBx/Yq4P5Hf8NjZ227bSYSDvOVY04kFPK+/NyC\nQsjLx1nf1MfWO86vf/4CszZMBVFCId36k1lRcNX7FyirjNFrSxRVpffmGGVbYlxy9XBUvTJz1s/h\nwdMepG9RCzu2i+lb1Jee+dtfO1q430L2+dM+hHqkTxiCEOoRImdIsD7EQS6lJZNw0OAytlRm/rLb\n089Xc/wX2z8CUHsvCab83GhTTiiHwpz29vszzVnC2A3MmnUqjY1LKCoazYgRTwZ6jyqsSts/zOO6\nkEjA2rVJFi/eNhjW/Pnv8NFHzwKQwGVVpIYlI18isvxAEhv24YNpk+kWS/kyaKyH0t4Q9jrJDVm7\nij9/6XTe+vT7SMxbp97MIABsqRL+fL8weD//M9esvWS756tWeadMffvCvl7bx6ratdTGqv16U/bH\nET7vV0hDXmjraypCZUkka3cIKrC5fhNJ3X6wsSGzLqOwZiCtfQKLqvdH1AHxk6l4pyjbPZdtpy7b\nP3epK16OSseGbUuGG5h3yK9RJ7F1R4J+Rbw29zY+WTWJnFBdu7Z52IAHOHzgn7dbF3YaCTk77oO2\neuT8Ms3ijSViXD/hegoiBe2Kq0vsRnewytVXW8LY1UWjq2lsXMasWSchEqZXrzPp1eubgd5bUHAg\neXnlO7X9q1+/mgc+foCCSAFus8NWuWETj5/yHMeO+yIA4Zkzmf+jH7FPOExu0x+Cqn+5S1m5EiIh\nr61F/D9877suddl/7r8vnIwi6np1+CSlPKqE3AShZHzb9oDSqo005uSxpbhHi/smqqwr3Yc1pdsa\n45NOiI+HH0E8sn035Bb/StJ8lCTNStlulbZYZ++qRvpv8L9wU/82m57rtndKmtclHsZp6PhNIfmf\nDcWpz8ct2LFLdGsahi6ioXQLldH29Q9e0bgPv/3kDNyUfXFVOKj3Kv5y+kMtHviW/z90hxdfWfZ3\nDug+kvxQ22cZ7TnTabVkKy9K20W2KooUE3G8z2IkFCbibH/m2eF8087jGg4p+911myWM3UU8vpmq\nqndYufJ3SIB7IhoalhCNrqB79wkd2l55+RWUlp5KPBlnY/3GtGWGXD+Ecso5d8i55EkegvBRTS2r\nG6N4Fw1k67+KQ3jQWGpCgxAcREKk+7Ztz8cx/f+itzY31sjQZf5QYy3UWVxXzRGffkA4ue2X7PFT\n3+Cu86/hjbGpHQ1a2FLAWFuLM1VSlBXdqgP9is4UJ6kU10CPzcFjOPUFlw29hacnta9dRvHb8Jo3\n8q/OI3nzgYT+OKNd9bXEDdeCE2u7YDt0zf+QwtazLAVxkUQ7L62pgJvjnbFuq6lNotv/X7oucMax\nljD2VK4bZ8uWt/HGCWmfjRufp65uDmVlX232yvaflbteep2/L/2Aytw6HP939dYWCb8Lb9PzpOt6\nzx2vmr6fdKNskfdrNPVXnUgO4XC3tL/0OrJOVdl///0ZNmxY2n1t/v7TnnuO4poaPr3zTk4//fS0\n7zHbW377cja+uJGeJ25rrykaXUTOPjkUjijcYZSBtlRWegNhlpV1PCbX9YaAKUnfO71FkYjX1T2y\n43idberIr/32vOfZuc9S2eCPqCTBvsM+WfcJy7Ys2/o5D7K9hJtgZfVKVBVxFKdgC6qw+upVljDM\njurrF7J69Z9S1jQ/Xtsv73g8dYfnsViSRYs2o+ry5ual3LtiKkPyezSviWSimrvHP0t54faX0tL9\nnwVZV1tby/vvv08ikeZ6eJr3D166lGNff53Te/dm1qxZO7xudlT/WT3rntg2xmdsXYyaaTXE18Up\nHFVI92O33ZubOzCXPmf3abPOzZu9Mc06avlymDev/e+7806v+ay9c8h05Culo19DXfm+TZvgC1+A\n8nJ4+WVr9DZZoKrMWjeLWDLWbL3Lpf88irVRh7MGtn4tfELvArrltHxprm+fb9O799mEQgXk5Q0M\nHty8eTiHjeGzRIIDDjjAG8tl2DD0pBPR7353txg0qulO+2yrX1DPmodTbr1yYdW9q+j7P30hBBIS\nJOw99v3+vuTvv+sf271NZSVMmeI9/+pXLWGYXcyG6iX84u2bSLot9/JZsHkx/13+Qetfim0PILBN\n6nm6KkM2QSgBCBTG4Ix58PX53h3ytR0YMTcagmcOgsYWRlzrzH4yCnTPLeTSQ9q+uVKcXIrzB5AX\n7qRhgFOEwz1xnB13uHp6DcmaJKiiSQUX6j6tQ10lt18LP+tbuo7SkQPX3qpaeqGd2+7QSAKdtO3O\nKt/71essYZg9m+vGcd2We/xUVb1PNLpih/VTpy6isnLbgMh5VfUUbqoJtM1kUpk6dRExvwvy6HVV\nlDZEcTW6w3WBRMKlpibOySe34yyoFYryn5UraEw3d3DzsuoSdZV988P0zA0xpKhz5vJ1tZGCguEU\n5KdvN2ouWZsgtraTGqVb+NPu0F98Z31NdObXTXvramf51jpc9PjgFUsYxmTTxo0b6d+/P2effTZA\nSuNky/8GKRO07OrwaraEtvBm/puEW52loG3btufiugEnU+lqu/htD7tyeNEb1BKGMdmkqjz77LPU\n1NRsbYRP/Tfdupb+bU/Z5u+JulFc3J3azvr169mypUNT3RjSd8LYVagqzzzxjCUMY4wxbevMoUGy\n3yXDGGPMbsEShjHGmEAsYRhjjAnEEoYxxphALGEYY4wJxBKGMcaYQDKaMETkIRFZJyJpR4MTkRIR\neUFEZorIbBH5n0zGY4wxpuMyfYbxCPDlVl6/BJijqocAxwO/EZGdu211L1BRUZHtEHYZdiy2sWOx\njR2LzMhowlDVd4HK1ooATcObFgObVLVjc1TuReyPYRs7FtvYsdjGjkVmZPvX/L3ACyKyGigCzspy\nPMYYY1qQ7UbvLwMzVHVfYDTwBxEpynJMxhhj0sj4WFIiMhB4UVVHpXntJeBWVZ3iL78JXKOq09KU\ntYGkjDGmAzprLKmuuCQltDz67zLgS8AUEekDHAAsSVews3bYGGNMx2T0DENEngQmAKXAOuB6IAdQ\nVb1fRPYB/gLs47/lVlX9W8YCMsYY02G7zfDmxhhjsivbjd6BiMhEEZkvIp+JyDXZjifTRORzEflE\nRGaIyEf+uh4i8rqILBCR10SkW0r5n4vIQhGZJyInZS/ynZfuZs+O7LuIHCois/zPzG+7ej86QwvH\n4noRWSkiH/uPiSmv7cnHolxE3hKROf5Nvpf76/e6z0aaY3GZvz7zn42mmbh21QdeUlsEDAQiwExg\neLbjyvA+LwF6NFt3O/BT//k1wG3+8xHADLz2qEH+sZJs78NO7PvRwCHArJ3Zd+BD4HD/+SvAl7O9\nb510LK4HrkxT9sA9/Fj0BQ7xnxcBC4Dhe+Nno5VjkfHPxu5whnEEsFBVl6lqHPg78LUsx5Rpwo5n\nf18DHvWfPwqc7j8/Dfi7qiZU9XNgId4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mZaZHzbExvfl6L3wFBTxQWEiwdCv/9aMI/j7LWJdzFCU969h4XQ5zb1mG+NLp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\nLhcdfpElGGM6QKL6MG7BSRA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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -943,9 +943,9 @@ "outputs": [ { "data": { - "image/png": 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+ "text/plain": [ + "" ] }, "metadata": {}, @@ -974,10 +1004,10 @@ ], "source": [ "def report(keyboards=keyboards, swaps=3000, scorer=workload_average):\n", - " \"Iterate through a dict of {name: kbd} pairs, showing kbd before and after repeated_improved(kbd).\"\n", + " \"Iterate through a dict of {name: kbd} pairs, showing kbd before and after improved(kbd).\"\n", " for (name, kbd) in keyboards.items():\n", - " show_kbd(improved(kbd, swaps=swaps, scorer=scorer), \n", - " ('improved ' if swaps else '') + name)\n", + " show_kbd(kbd, name)\n", + " show_kbd(improved(kbd, swaps=swaps, scorer=scorer), 'improved ' + name)\n", " \n", "report()" ] @@ -1179,7 +1209,7 @@ { "data": { "text/plain": [ - "['URKLL', 'YSMLO', 'YWPKO', 'GWOMP', 'NRMMI', 'GSKOI', 'URPPO', 'UDOPL']" + "['NELKI', 'NWLKL', 'VEMKI', 'VEOOP', 'UWPMK', 'JSLML', 'GRMMO', 'UWKKP']" ] }, "execution_count": 35, @@ -1370,8 +1400,8 @@ "name": "stdout", "output_type": "stream", "text": [ - "CPU times: user 3.08 s, sys: 377 ms, total: 3.46 s\n", - "Wall time: 3.46 s\n" + "CPU times: user 3.12 s, sys: 395 ms, total: 3.51 s\n", + "Wall time: 3.52 s\n" ] }, { @@ -1514,8 +1544,8 @@ "name": "stdout", "output_type": "stream", "text": [ - "CPU times: user 108 µs, sys: 1 µs, total: 109 µs\n", - "Wall time: 116 µs\n" + "CPU times: user 119 µs, sys: 0 ns, total: 119 µs\n", + "Wall time: 122 µs\n" ] }, { @@ -1548,36 +1578,36 @@ { "data": { "text/plain": [ - "{'ACCEPTING': 'ACCEPTING',\n", - " 'APPEAR': 'APPEAR',\n", - " 'ARTS': 'WETS WERE SETS ARTS',\n", - " 'BATHROOM': 'BATHROOM',\n", - " 'CHOICES': 'CHOICES',\n", - " 'CROWDING': 'CROWDING CROSSING',\n", + "{'A': 'S A',\n", + " 'ACCEPT': 'ACCEPT',\n", + " 'AIRS': 'WORE WORD WIFE WIDE SURE SITS SIRS SIDE AIRS',\n", + " 'BEATER': 'NEARER NEARED HEATER HEATED GRAYER GRAYED BESTED BEATER',\n", + " 'BEGAN': 'BEGAN',\n", + " 'BLOWER': 'NOISED BLOWER',\n", " 'DISCOVERS': 'DISCOVERS',\n", - " 'EVERY': 'SHEET EVERY',\n", - " 'FEED': 'TREE REDS FREE FEWS FEES FEED FEDS',\n", - " 'FIELDS': 'FORMED FIELDS',\n", - " 'FOREHEADS': 'FOREHEADS',\n", - " 'GLANCE': 'GLANCE',\n", - " 'HITS': 'NOTE HUGE HITS GUYS BUYS BOYS BORE BITS BITE BIRD',\n", - " 'IGNORER': 'IGNORER IGNORED',\n", - " 'KISSED': 'NODDED MISSES MISSED LOWERS KISSES KISSED KIDDED',\n", - " 'LIFTS': 'LIFTS',\n", - " 'MARRIES': 'NARROWS MARRIES MARRIED',\n", - " 'MEMBER': 'MEMBER',\n", - " 'NOD': 'NOS NOR NOD KID HIS HID BOX',\n", - " 'PALED': 'PAPER PALES PALER PALED',\n", - " 'SENSES': 'SENSES SENSED',\n", - " 'SHITTING': 'SHUTTING SHITTING SHIRTING',\n", - " 'SIMPLES': 'SIMPLES',\n", - " 'STOMACHES': 'STOMACHES STOMACHED',\n", - " 'STRETCHING': 'STRETCHING',\n", - " 'SWING': 'SWUNG SWING',\n", - " 'TRUER': 'TRUST TRUER TRUED TRIED',\n", - " 'WRAPS': 'WRAPS',\n", - " 'YARD': 'YARD USES USED HATS HATE HARD GATE',\n", - " 'YOU': 'YOU'}" + " 'DRINK': 'DRUNK DRINK',\n", + " 'DROVES': 'DROVES DRIVES',\n", + " 'ENTER': 'ENTER',\n", + " 'EXCEPT': 'EXCEPT',\n", + " 'GATHER': 'GATHER FATHER BAGGER BAGGED',\n", + " 'GUESSING': 'GUESSING',\n", + " 'LEADINGS': 'LEADINGS',\n", + " 'LOOKER': 'POOLED MOONED LOOKER LOOKED KILLER KILLED',\n", + " 'MAPS': 'MAPS',\n", + " 'NEEDED': 'NEEDED BEDDED',\n", + " 'NIGHTS': 'NIGHTS MIGHTS',\n", + " 'RETURNS': 'RETURNS',\n", + " 'ROOMED': 'ROOMED ROLLED FILLED',\n", + " 'SEXING': 'SEXING ADDING',\n", + " 'SHORTEST': 'SHORTEST',\n", + " 'SHOVING': 'SHOVING',\n", + " 'SKINNED': 'SKINNED',\n", + " 'SOUND': 'WOUND SPINS SOUND SKINS',\n", + " 'STOPS': 'STOPS STOOD STOLE DROPS',\n", + " 'THANKS': 'THANKS',\n", + " 'TRIPE': 'TRIPS TRIPE',\n", + " 'TV': 'TV',\n", + " 'VIEWED': 'VIEWED HORSES'}" ] }, "execution_count": 49, @@ -1643,7 +1673,7 @@ "data": { "image/png": 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xHH3T9iya25tnaCqRnE3L2vjKceNTjMFPDGXPz7pzWa/lXEyC3nhn0tQLv2mJ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\n8VY9SuxdlJk1xA/oak/n59U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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -1808,8 +1838,8 @@ "name": "stdout", "output_type": "stream", "text": [ - "CPU times: user 121 ms, sys: 1.85 ms, total: 122 ms\n", - "Wall time: 121 ms\n" + "CPU times: user 134 ms, sys: 3.99 ms, total: 138 ms\n", + "Wall time: 143 ms\n" ] }, { @@ -1836,14 +1866,14 @@ "name": "stdout", "output_type": "stream", "text": [ - "CPU times: user 174 µs, sys: 1 µs, total: 175 µs\n", - "Wall time: 177 µs\n" + "CPU times: user 188 µs, sys: 3 µs, total: 191 µs\n", + "Wall time: 202 µs\n" ] }, { "data": { "text/plain": [ - "3.233309780212764" + "3.2333097802127653" ] }, "execution_count": 58, @@ -1869,9 +1899,9 @@ "outputs": [ { "data": { - "image/png": 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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -1881,8 +1911,8 @@ "name": "stdout", "output_type": "stream", "text": [ - "CPU times: user 10.1 s, sys: 18.6 ms, total: 10.2 s\n", - "Wall time: 10.2 s\n" + "CPU times: user 10.6 s, sys: 26.7 ms, total: 10.6 s\n", + "Wall time: 10.6 s\n" ] } ], @@ -1936,7 +1966,7 @@ "data": { "image/png": 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0sR1waYZ2xmlyNOLulwB75GhrhGbaBuKDZvsBmNluwMlmtlO88MulmbaBFdSz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\nIiLSEyr6IiIiPaGiLyIi0hM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OaQcVQJlEkTtAHboYJlXkDlBTkTtAHTo220EFsEW60GOJytwBaipyBxhFc4DJ\nlbkDSHdoDlBmluYARWQY9QBbpCvDIl3J2YXipznAtLqSU9pBBVAmUeQOUIcuhkkVuQPUVOQOUIeO\nzXZQAWyRLvRYojJ3gJqK3AFG0RxgcmXuANIdmgOUmaU5QBEZRj3AFunKsEhXcnah+GkOMK2u5JR2\nUAGUSRS5A9Shi2FSRe4ANRW5A9ShY7MdVABbpAs9lqjMHaCmIneAUTQHmFyZO4B0h+YAZWZpDlBE\nhlEPsEW6MizSlZxdKH6aA0yrKzmlHVQAZ4yZ3Wdm768sv9nM3pF4M0XTBsxsKzP7kpn9zMx+bmYf\nNLM1E2SrbmOh4fr3mtl5ZnahmZ1mZusmipZc3/68zMw+bGZrJdxE0bSBvv35ZTPbOEGufkXTBszs\nKDO7yMwuiHmfkCBX/zYWUrcp41MBbJFEPZa7gT82s00TtDVImaCNLwBfcPcdgB2AjYD3JWi3qmi4\n/h3uvqu77wT8Dnht80iLJZwDrO7PRwHrA+8fvspYygRtVPfnbcDrE7TZr2yyspntATwb2NndHw/8\nIbA8QS5pIRXA2XMP8DHgTdPaQNNCbWZ7A3e5+8mxPQf+AjgscS+rTNjWWcAjE7aXzJD9eYiZrZ9i\nG1MYTv4usFXiNlPk3BK42d3vie3d6u7XNw7WpwvD8/NABbBFEg2LOHAc8FIz2yhBe6tIkPOxwLnV\nB9x9BfBLEhaZBBcZA4hDs/sBFzbNtMoG0swBDtqfV5JofyY6Nnv7cxmwD/CVBG0u3kDznN8AtjWz\nS83sODN7WoJY0lIqgDPI3X8DfBI4YkqbKKbUriVtrPnFcD0zOw/4AaE4/0vjUKtXyv1ZJGijtz+v\nAx4M/HeCNvsVTVZ29zuAXYFXAzcBp5rZIQlyLaI5wHZQAWyRxMMi/wT8CWEuKLWy4fqXALtVH4g3\nRGwDXNaw7aqi4fp3xjmrXd39iN6wWEqJ5gAH7c8tgJ8maB/SDCff6e67AtsSivOfJWizX9m0AQ++\nE8/HPwde0LRNaScVwNljAO5+G/A54PDUG2haqN39W4TewMtg5ZDYPwAnuftvmydcqWy4ftIe6bQM\n2Z8fcfe7E21jIUEzvWPzt4TRiTebWdJrUIL56R3MrDpsvDOh95+U5gDbQQWwRRLOAfb8I/Cgvsca\nS5Tz+cCLzOxnwKXAXcBRCdpdKcFFZup/JSLhvwN8PnBg3J83A/e6+9GJ2k5+bLr7j4ELgIMTtLtS\ngpwbAp9HN8kWAAAJLElEQVSM/wzix8BjgKZtSksl/XdXkp+7b1z5/UbCCZ1a0bQBd78GeF7zKIM1\n/Usw1X3ZdnF/7g8rb+U/xcx2joUmhaJpA/370933b9rmEoomK7v7ecCeaaIMpr9S1A4qgC3SoROi\nzB2gpiJ3gFGm8bdA3f17wMMSN1smbm9aytwBpDv0t0BlZulbtogMoznAFunKrdFdydmF4qe/BZpW\nV3JKO6gAyiSK3AHq0MUwqSJ3gJqK3AHq0LHZDiqALdKFHktU5g5QU5E7wCj6/wEmV+YOIN2hOUCZ\nWZoDFJFh1ANska4Mi3QlZxeKn+YA0+pKTmkHFUCZRJE7QB26GCZV5A5QU5E7QB06NttBBbBFutBj\nicrcAWoqcgcYRXOAyZW5A0h3aA5QZpbmAEVkGPUAW6QrwyJdydmF4qc5wLS6klPaQQVQJlHkDlCH\nLoZJFbkD1FTkDlCHjs12UAFskS70WKIyd4CaitwBRtEcYHJl7gDSHZoDlJmlOUARGUYFsIHeMEbv\nIptguYzLRcpl0n8rLuY45/buvn3K9oB/dfeFeDwUQNl0ebzdVEsxwXublc98GjmJ21mI21lIuSz1\nqACKjEG9SpHZoTnACXVlEls50+pC8dOdpWl1JaeMTwVw9hW5A9RU5A5Qhy6GSRW5A9RU5A5Qh47N\n8akATqgLPYGozB2gpjJ3gJqK3AFG0Z2lyZW5A8h0aA5QZAyaAxSZHeoBTqgrww3KmVYXip/mANPq\nSk4Znwrg7CtyB6ipyB2gDl0MkypyB6ipyB2gDh2b41MBnFAXegJRmTtATWXuADUVuQOMojnA5Mrc\nAWQ6NAcoMgbNAYrMDvUAJ9SV4QblTKsLxU9zgGl1JaeMTwVw9hW5A9RU5A5Qhy6GSRW5A9RU5A5Q\nh47N8akATqgLPYGozB2gpjJ3gJqK3AFG0RxgcmXuADIdmgMUGYPmAEVmh3qAE+rKcINyptWF4qc5\nwLS6klPGpwI4+4rcAWoqcgeoQxfDpIrcAWoqcgeoQ8fm+FQAJ9SFnkBU5g5QU5k7QE1F7gCjaA4w\nuTJ3AJkOzQGKjEFzgCKzQz3ACXVluEE50+pC8dMcYFpdySnjUwHMxMw2NbPzzew8M7vOzK6uLK+Z\ncFNFk5XNbDszu7DvsXea2ZsapVpVMemKZnaGmT2j77EjzOy4xqlW3dZCw/U/YGZvqCx/3cw+Vln+\nBzN7Y5NtNGVmW5vZFWa2SVx+YFzeNvGmiqYNmNlZZrZvZflAMzu9abt9iiYrm9kBlXP7vPj7vWb2\nrET5ettZSNnePFABnFDTnoC73+ruu7j7rsAJwAd6y+5+T5KQQZmgjdUxTl42WPezwMF9jx0UH0+t\naLj+2cCTAczMgM2Ax1aefzJwTpMNNJ0DdPergeOBY+JDRwMfdfermrS7hDJBG68FPmBma5vZhsB7\ngT9N0G5V2WRld/9S5dzelbBvv+Pu/5UknUxMc4AtYGbvBFa4+wdyZ+lnZtsBX3X3x1Uea1VeM3sg\n8L/A1u5+T8x8prtvP4VtNZoDNLMtge+7+7ZmtiPwFuAhwIuBu4DrgQcn/hI0tjgK8SPgJOBwYGd3\nvzdnpkHM7GjgTmAD4HZ3f2/mSAOZ2Q7At4A93P2a3HnmnXqAE+rKcMM85HT324AfAPvFhw4CPpcg\n1lLbWmi4/nXA78xsa+7v7X0feBKwG3Bh0+KXYg4wZjgS+CBwxDSKX8Jj893AS4B9gb9P1OZKqXLG\nLxWfAf5Cxa8dVABnX9Fw/UFDBKmHDoqG659KKHzE/57SsL0lJboYngPsSSiA3wW+V1k+O0H7qTwb\nuBbYaUrtFykacfc7gdOAT7n771K02adI1M57gIvc/d8TtbdIV77stokK4IS6cDdgVDZc/xZg077H\nNgVubthuv7Lh+l8G9jGzXYD13P385pGWVCRo4xxCsdsRuIhQAJ8UfxrN/0GafwdoZjsD+wB7AG8y\nsy2atrmEMmFb98WfaSibNmBmBfB84PVN25J0VABnXIIhuzuAa81sLwh3rwLPAv6nebpF21louP4d\nhAvViUyp9xeVCdo4B3gucKsHtwGbkKgAJnI8YejzasKw4j+m3kBXvkQ2zRnnqE8EDom91anoyv5s\nExXACXVluCFRzkOAt5vZ+cA3gQV3vzJBuyslynkK8DimWAATXWQuBB5EGP6sPvYrd7+1aeNN5wDN\n7FXAL939jPjQCcCjzeypTbP1bWchZXvTkiDna4DNgRMq/wziPDM7sHk6aUJ3gU6oK38RxMzKLvxp\nrA7lbP3n3qF9qZwJdeHYbBv1ACfUoQOtzB2gpjJ3gJqK3AFG6cLFOipzB6ipzB1ApkM9QJEx6Fu2\nyOxQD3BCczR/sVp0JWcXip/+FmhaXckp41MBnH1F7gA1FbkD1KGLYVJF7gA1FbkD1KFjc3wqgBPq\nQk8gKnMHqKnMHaCmIneAUTQHmFyZO4BMh+YARcagOUCR2aEe4IS6MtygnGl1ofhpDjCtruSU8akA\nzr4id4CaitwB6tDFMKkid4CaitwB6tCxOT4VwAl1oScQlbkD1FTmDlBTkTvAKJoDTK7MHUCmQ3OA\nImPQHKDI7FAPcEJdGW5QzrS6UPw0B5hWV3LK+FQAZ1+RO0BNRe4AdehimFSRO0BNRe4AdejYHJ8K\n4IS60BOIytwBaipzB6ipyB1gFM0BJlfmDiDToTlAkTFoDlBkdqgATqg33NC7GLZ1uSd3DuVcrcsF\nULYsU1f3ZWdy6ovZ+FQARURkLmkOUERE5pIKoIiIzCUVQBERmUsqgCIiMpdUAEVEZC6pAIqIyFxS\nARQRkbmkAigiInNJBVBEROaSCqCIiMwlFUAREZlLKoAiIjKXVABFRGQuqQCKiMhcUgEUEZG5pAIo\nIiJzSQVQRETmkgqgiIjMJRVAERGZSyqAIiIyl1QARURkLqkAiojIXFIBFBGRuaQCKCIic0kFUERE\n5pIKoIiIzCUVQBERmUsqgCIiMpdUAEVEZC6pAIqIyFxSARQRkbmkAigiInNJBVBEROaSCqCIiMwl\nFUAREZlLKoAiIjKXVABFRGQuqQCKiMhcUgEUEZG5pAIoIiJzSQVQRETmkgqgiIjMJRVAERGZSyqA\nIiIyl1QARURkLqkAiojIXFIBFBGRufT/6fQ4TkUprgcAAAAASUVORK5CYII=\n", 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+ "text/plain": [ + "" ] }, "metadata": {}, @@ -1993,8 +2053,8 @@ "name": "stdout", "output_type": "stream", "text": [ - "CPU times: user 2min 23s, sys: 311 ms, total: 2min 23s\n", - "Wall time: 2min 23s\n" + "CPU times: user 2min 24s, sys: 188 ms, total: 2min 25s\n", + "Wall time: 2min 25s\n" ] } ], @@ -2021,7 +2081,7 @@ "data": { "image/png": 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pJc4SkqhqpGkpTimBEqlAAVOmoM4qsSp3AC1VuQNoqcodQBu6hvqhRNqjEkZQ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\ntBY92c7W9wcAAAAASUVORK5CYII=\n", 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k2r3scjFmWwsIF6jPawbMinFmwPSCUdLJq/HyypD2tpft0YaXEfEvXQUCmchw\nv6cZBwMTQpaGlkFnBo2QQ2cGjZAjhe01A6ZLHAyYXpClQ8ugM4NGyKEzg8Ys2Mt+4zUDxpipJ/O8\ne2btpj84M2B6QZZ0cgadGTRCDp0ZNGbBXvYbBwMTQpaGlkFnBo2QQ2cGjZAjhe01A6ZLHAyYXpCl\nQ8ugM4NGyKEzg8Ys2Mt+4zUDxpipJ/O8e2btpj84M2B6QZZ0cgadGTRCDp0ZNGbBXvYbBwMTQpaG\nlkFnBo2QQ2cGjZAjhe01A6ZLHAyYXpClQ8ugM4NGyKEzg8Ys2Mt+4zUDxpipJ/O8e2btpj84M2B6\nQZZ0cgadGTRCDp0ZNGbBXvYbBwMTQpaGlkFnBo2QQ2cGjZAjhe01A6ZLHAyYXpClQ8ugM4NGyKEz\ng8Ys2Mt+4zUDxpipJ/O8e2btpj84M2DmRNLOkk6W9H1JF0h6p6QtOqxvpquy22QUnUNe/kDS2yRt\n3oG8QX0zXZXdJiN6+URJN0vaswNJc9U3M456xo2kDY3Pj5V0vqRdO65zpsvyzcpwMDAhdNDQPgF8\nIiL2BPYAtgHeutJCJa0baJU009PtdfMdB9aO8LWbXu4JbAe8aYRyZtETrxbbXjffcUbz8unA14DD\nR7h2QebST9XYEz9/ONfxEbMCUcs5GHg78OiIuGyEcsyE4GmCCWEFncJcZR0E/HVErG3s2w64BNgl\nIq5fQdm9T2mOycuLKV7+agVlT5uX2wLnAwcCn42IvdooNwste7kBeCxwAvCYiPhBG+WavDgzMCG0\n/FK4D/DNofI3UF5g91xJwX1/ecHYvLwEe7lcDgVOiYgLgKsl7dNWwRlS2PN5OaL2rYBPAk90IGDA\nwYBZHuqs4ASdMbSq014uX+fhwEn180eAZ7QqaA6yeDkCvwFOB/5wXBVOsJcTgYOBCaHlhnYe8KCh\n8rcH7gj870oKztAhjMnLXYELVlLwNHkpaSfgIOB9ki4CXg4c1kbZkCPLMp+XI2q/CXga8GBJr1qB\nLDMhOBgwmxARXwK2lvQsAElrgL8H3hURN3RU50wX5bbNcnUu4OUJK1kvsEidM12U2zbL1HkY8IGI\nuFtE3D0idgculvTwbtQVsng5AqrP3+OAZ0h6ftcVTrCXE4EXEJo5kbQzcBxwL+D2wEkR8cerqyon\n1cvjgb0o0wOfB14eEb9ZVWGJkPQl4C0RcWpj30uBvSLixS2U3/vFmPMxinZJ6yNi+/p5F+ArwJER\n8dkOJJoJL+4zAAAPe0lEQVQEODNg5iQiroiIQ+vP4R4DPFrSA7qqL0PKG0bTWb18QkTsGRF7RMSR\nXQYCk+hlRBzcDATqvne1EQgsRBYvl8sgEKifL4+Ie3QdCEyql5OCg4EJocuGFhFn1vTst1daVoYO\nIYNGyKEzg0bIkcJuec2AMbNwMGB6QZYOLYPODBohh84MGrNgL/uN1wwYY6aeaVszYMwwzgyYXpAl\nnZxBZwaNkENnBo1ZsJf9xsHAhJCloWXQmUEj5NCZQSPkSGF7zYDpEgcDphdk6dAy6MygEXLozKAx\nC/ay33jNgDFm6sk8755Zu+kPzgyYXpAlnZxBZwaNkENnBo1ZsJf9xsHAhJCloWXQmUEj5NCZQSPk\nSGF7zYDpEgcDphdk6dAy6MygEXLozKAxC/ay33jNgDFm6sk8755Zu+kPzgyYXpAlnZxBZwaNkENn\nBo1ZsJf9xsHAhJCloWXQmUEj5NCZQSPkSGF7zYDpEgcDphdk6dAy6MygEXLozKAxC/ay33jNgDFm\n6sk8755Zu+kPzgyYXjBKOlnS7pLOGdp3tKQ/b03YpnXOdFV2W4zo5c2S3trYPkrSX7cqbNM6Z7os\nvw1G9PI1ks6V9B1JZ0n67Q6kpSPD/Z5mHAxMCJLWDRqbpJm+bjf+Zh0H1o741VtPbS30XYC1E+rl\nDcCTJd1mhGvnJYuXEdGKl5L2Ax4LPCAi7g/8LnDZskybv+xlae/bNqO3cTMGPE0wIQw6hdXWsRht\n6pS0O/CZiLhfY9/RwIaIOGYF5U6jlxuANwDbRcRrJR0FbBsRr++LxgxIehLw3Ig4tIOyp8pLM16c\nGZgQsnQSGXRm0Ait6wzg3cAzJW3XWqFJvGxkK1bKqcBuks6X9G5Jv9NSufN62aJ2M8U4GDC9YMQO\nbb60Vmfprgwd76gaI+IXwL8AR7YqaB4m0cuIuA7YF3gB8FPgJEnP6UBaOjLc72nGwcCEkKWhtazz\nZ8DwHPdtgKtXUuiUejngHcAfANu0UVgWL9vMYEThq7XMlwJPaaPc+bzMkn0x/cbBgOkFo3RodRT2\nI0kHAtTFb48C/rNddbPqnOmq7LYYUaPqtdcCHwX+sE1NczGJXkraU9I9G7seAFzSqqikZLjf04wX\nEJrUSNoLOA7YiTI98HcRcdLqqsqHpPURsX39fAfgIuAtEfE3q6tsPLS1OE/SvsC7gB2AG4ELgBdE\nxDUrLXuBOr2w0KwYZwZML1jBPPf5EXFQROwTEft2HQhkSHuPonEQCNTPV0XErbsOBCbRy4g4KyIe\nFhF7R8QDIuKpXQYCmchwv6cZBwMTQpaGlkFnBo2QQ2cGjZAjhe01A6ZLHAyYXpClQ8ugM4NGyKEz\ng8Ys2Mt+4zUDxpipJ/O8e2btpj84M2B6QZZ0cgadGTRCDp0ZNGbBXvYbBwMTQpaGlkFnBo2QQ2cG\njZAjhe01A6ZLHAyYXpClQ8ugM4NGyKEzg8Ys2Mt+4zUDxpipJ/O8e2btpj84M2B6QZZ0cgadGTRC\nDp0ZNGbBXvYbBwMTQpaGlkFnBo2QQ2cGjZAjhe01A6ZLHAyYXpClQ8ugM4NGyKEzg8Ys2Mt+4zUD\nxpipJ/O8e2btpj84M2B6QZZ0cgadGTRCDp0ZNGbBXvYbBwMTQpaGlkFnBo2QQ2cGjZAjhe01A6ZL\nHAyYXpClQ8ugM4NGyKEzg8Ys2Mt+4zUDxpipJ/O8e2btpj84M2A2QdJNks6S9G1J/yNpvzHUOdN1\nHW2wXJ2SNnQkZaE6Z8Zd5yiM4OXgufxW/e8rO5LWrHOm6zrGjaTTJB0ytO9ISe/uuN6ZLss3K8PB\nwITQckO7LiL2jYgHAK8G3txWwZLWDbRKmunp9rr5jgNrl/mVO0u99cSrxbbXzXec5Xs5eC73qf/9\nu2VevyBz6R9o7ImfP5zr+AhZgQ8Dhw/te3rdb6YUTxNMCCN2CvOVtSEitqufDwMOj4gnt1R271Oa\nLXu5PiK2b6OsOcqeNi9veS6nkba8lLQT8D1gl4i4UdLuwFci4q4rLdvkxcGA2QRJNwJnA1sDdwIO\niohvra6qnHQZDEwbjedSlIzL30bEx1oqu/eB1XyMol3Sp4H3RsRnJP0FcNuI6HzaxfQXTxOYubi+\npmHvBTwG+GDXFWaZT8ygM4NGGEnn9UPTBK0EAguRxcsROIkyNUD974ldVzjBXk4EDgYmhK4aWkSc\nCdxO0u3aKC9Dh5BBI+TQmUEj5PjZ23xejqj9U8DBkvYBtnbmzzgYMHOhWz5Ie1Gek591WWGGzhhG\n0qnFT2kXe9keWbxcLhFxHbAOeD9jyArUOmfGUY8ZDa8ZMJsg6TfAOWzsfF8VEaesoqS01HnuH7Fx\nnvuYiHj76qrKydBzGcApEfHqlsqeqjUD9bpDgU8A94qI77cuzKTCmQGzCRGxRWNudp9xBAJZ0snL\n1RkRm0fEbhGxa/1v54HABHvZfC73bSsQWIgsXo5CRHwqItaMKxCYZC8nAQcDE0KWhpZBZwaNkENn\nBo2QI4Xd8poBY2bhYMD0giwdWgadGTRCDp0ZNGbBXvYbrxkwxkw907hmwJgmzgyYXpAlnZxBZwaN\nkENnBo1ZsJf9xsHAhJCloWXQmUEj5NCZQSPkSGF7zYDpEgcDphdk6dAy6MygEXLozKAxC/ay33jN\ngDFm6sk8755Zu+kPzgyYXpAlnZxBZwaNkENnBo1ZsJf9xsHAhJCloWXQmUEj5NCZQSPkSGF7zYDp\nEgcDphdk6dAy6MygEXLozKAxC/ay33jNgDFm6sk8755Zu+kPzgyYXpAlnZxBZwaNkENnBo1ZsJf9\nxsHAhJCloWXQmUEj5NCZQSPkSGF7zYDpEgcDphdk6dAy6MygEXLozKAxC/ay33jNgDFm6sk8755Z\nu+kPzgyYXjBKOlnS1yQ9urF9mKTPtyps0zpnuiy/DUb08iZJZ0k6R9KnJG3fgbThOme6rmOljOjl\nzZI+0NheI+mnkj7dqrhkZLjf04yDgQlB0rpBY5M009ftxt+s48DaEb72i4BjJG0p6dbAG4E/GaGc\nWSz0XYC1E+rldRGxb0TcF7gWePEIZWxCFi8jolUvgb0lbVW3DwEuG6GcWSxXe9+2Gc1LMyY8TTAh\nDDqF1daxGG3rlPRm4HpgW2B9RLyxhTKnzktJ6yNi+/r5hcB9I+IlLZSbwss2kbQBeAdwVkR8QtK/\nAOcCj4iIJ6yg3Knz0owPBwMmNZK2Ac4CbgAeFBG/WWVJKZG0ISK2k7QGOBF4X0Scutq6xkXbgRXw\nUOBo4FnAmcCRwMtXEgwsUJ+DBLNiPE1gekEjdbwsIuJ64CPAB8cRCIyqc5yMqHFrSWcBVwJ3AL7Q\nqqg5mGAviYhzgbsChwOfA9SeqpxkuN/TjIOBCSFLQ+tI5831rxWm1MvrI2JfYDfKi2vFUwSQx8uO\nRtafBt5KybSsmPm8dFbAtIGDAdMLsnRoGXSOqFH12l9RUtpHSeq0f5h0L4H3A6+LiO+2pygvGe73\nNONgYELI0tAy6MygEVrXecvioYj4NvAdSop7ZYUm8bLlDEYARMQVEXFsa4XO42WW7IvpNw4GTC9Y\nSYcWEa+LiGNalDMvGTreUTQ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BE6BW0TxIdRytfCRNQJ3ygFLr+mqarY3LaZ6sezugcu0hNHmSlcAKmg56Teu7zyhteQvN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\n4FHA0ZK2XGBJZkC6NMkYJ5J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khAiOEMMzgiPE8IzgCLGnAyK7twUVA6IRREgWERwhhmcER4jhGcFRNB+tGRBC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\nohFESBYRHCGGZwRHiOEZwVE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+ "text/plain": [ + "" ] }, "metadata": {}, @@ -2112,7 +2182,7 @@ } ], "source": [ - "show_kbd(improved(keybee, swaps=6000), 'Improved Keybee')" + "report({'keybee': keybee})" ] }, { @@ -2120,7 +2190,12 @@ "metadata": {}, "source": [ "This does indeed cut the path length to\n", - "half of QWERTY, so maybe there is something to be said for hex grids. Here is Keybee with some word paths:" + "half of QWERTY, so maybe there is something to be said for hex grids. \n", + "Note: the space key was moved to the edge, because it doesn't contribute to the workload.\n", + "The Keybee FAQ says \"the space key is the most important key on a keyboard,\" so clearly they are aiming\n", + "at two-thumb typing, not gesture typing; perhaps that's why it was so easy to improve their layout for our purposes.\n", + "\n", + "Here is Keybee with some word paths:" ] }, { @@ -2132,7 +2207,7 @@ "data": { "image/png": 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I3p/h3ojvYMnAgsVp2gr0ceA666fi3jaPiXSsFR3bAJcHPgNGlRnebGKDTIrYbWH0twhY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\n8NLMaKbpK8uIuF/SBUkfJG6/aTSW5UBjbFREvCb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