diff --git a/ipynb/dutch.ipynb b/ipynb/dutch.ipynb index c1c76b3..a8f6543 100644 --- a/ipynb/dutch.ipynb +++ b/ipynb/dutch.ipynb @@ -7,15 +7,15 @@ "source": [ "
Peter Norvig
July 2025
\n", "\n", - "# Letter Frequency Revisited\n", + "# Letter Frequency Revisited: Dutch\n", "\n", "A reader, Bernard, writes:\n", "\n", ">I am mailing because a while ago I was looking for a source of the letter frequency of all unique words. I then stumbled upon your great English letter frequency count research: [mayzner.html](https://norvig.com/mayzner.html). My question: Are you able to provide these frequencies (**letter, start, end and digram frequency**) based on a Scrabble-style word list (including all conjugated forms, but excluding proper nouns) for English and/or Dutch words?\n", "\n", - "Yes, Bernard, I am able! I have the [`sowpods.txt`](sowpods.txt) Scrabble word list for English, and after some research, I find that the official word list for Dutch is copyright protected, but there is an [unoffical list](https://github.com/OpenTaal/opentaal-wordlist/blob/master/elements/basiswoorden-gekeurd.txt) at the [OpenTaal](https://github.com/OpenTaal) project. It contains proper names (capitalized) and some phrases (with space characters) and numbers, but I can eliminate those to create the file `dutch.txt`.\n", + "Yes, Bernard, I am able! I have the [`sowpods.txt`](sowpods.txt) Scrabble word list for English, and after some research, I find that the official word list for Dutch is copyright protected, but there is an [unoffical list](https://github.com/OpenTaal/opentaal-words/blob/master/elements/basiswoorden-gekeurd.txt) at the [OpenTaal](https://github.com/OpenTaal) project. It contains some non-words, but I can eliminate those to create the file `dutch.txt`.\n", "\n", - "Here is the code to print a report on the various frequencies. I use `_a` to mean an `a` at the start of a word, and `z_` to mean a `z` at the end of a word." + "Here is the code to print a report on the various frequencies. I use `_a` to mean an `a` at the start of a word, and `z_` to mean a `z` at the end of a word. To be clear, these are frequencies for the word list (dictionary), not for running text. (In running text, some words, like \"the\" in English would be very common; in the dictionary each word counts just once.) Letters with diacriticals (accents) are changed to the base letter." ] }, { @@ -25,30 +25,51 @@ "metadata": {}, "outputs": [], "source": [ - "from typing import Iterable, Counter\n", + "from typing import Iterable, Counter, List\n", + "import itertools\n", + "import math\n", "\n", - "def ngrams(n: int, wordlist: str) -> Iterable[str]:\n", - " \"\"\"An iterable of length-n subsequences of wordlist, with '_' between words.\"\"\"\n", - " yield '_' + wordlist[:n-1]\n", - " for i in range(len(wordlist) - n + 1):\n", - " yield wordlist[i:i+n].replace('\\n', '_')\n", + "def report(words: str, columns=8) -> None:\n", + " \"\"\"Report letter and digram frequencies for these words.\"\"\"\n", + " Nwords = len(words.split())\n", + " Nletters = sum(map(str.isalpha, words))\n", + " print(f'Word list: {Nwords:,d} words; {Nletters:,d} letters; {Nletters/Nwords:5.2f} letters/word')\n", + " letters = ngrams(1, words)\n", + " digrams = ngrams(2, words)\n", + " print_table('One-Letter Frequencies:\\nAny Letter First Letter Last Letter',\n", + " column(letters), \n", + " column(digrams, lambda ab: ab.startswith('_')), \n", + " column(digrams, lambda ab: ab.endswith('_')))\n", + " print_table('Two-Character Frequencies:',\n", + " *batched(column(digrams), math.ceil(len(digrams) / columns)))\n", + " \n", + "# Table to translate away diacriticals, and change word breaks to \"_\".\n", + "translation_table = str.maketrans('àäåçèéêëêëíîïñôöûü \\n', \n", + " 'aaaceeeeeeiiinoouu__')\n", "\n", - "def report(wordlist: str) -> None:\n", - " \"\"\"Report frequencies for this wordlist.\"\"\"\n", - " letters = Counter(ngrams(1, wordlist))\n", - " digrams = Counter(ngrams(2, wordlist))\n", - " print(f'Word list: {len(wordlist.split()):,d} words; {len(wordlist):,d} characters')\n", - " table('Letter Frequencies', letters)\n", - " table('First Letter Frequencies', digrams, lambda ab: ab.startswith('_'))\n", - " table('Last Letter Frequencies', digrams, lambda ab: ab.endswith('_'))\n", - " table('Digram Frequencies', digrams)\n", + "def ngrams(n: int, text: str, translation_table=translation_table) -> Counter[str]:\n", + " \"\"\"A Counter of length-n subsequences of `text`, with '_' between words.\"\"\"\n", + " text = ('_' + text).translate(translation_table)\n", + " return Counter(text[i:i+n] for i in range(len(text) - n + 1))\n", "\n", - "def table(title, counter, predicate=lambda ab: True) -> None:\n", - " \"\"\"Print the entries in the counter, with a title.\"\"\"\n", - " print('\\n' + '=' * len(title) + '\\n' + title + '\\n')\n", - " for x in sorted(counter):\n", - " if predicate(x):\n", - " print(f'{x}: {counter[x]:6d}')" + "def column(counter, predicate=None, width=15) -> List[str]:\n", + " \"\"\"A column of strings representing 'key:frequency' pairs.\"\"\"\n", + " total = sum(counter.values())\n", + " return [f'{x}: {counter[x]/total:9.6%}'.ljust(width) for x in sorted(counter)\n", + " if predicate is None or predicate(x)]\n", + "\n", + "def print_table(title: str, *columns) -> str:\n", + " \"\"\"Print the columns, with a title.\"\"\"\n", + " print('\\n' + title + '\\n')\n", + " for i in range(max(map(len, columns))):\n", + " print(*[(col[i] if i < len(col) else '') for col in columns])\n", + "\n", + "def batched(iterable, n) -> Iterable[tuple]:\n", + " \"\"\"Batch data from the iterable into tuples of length n. The last batch may be shorter than n.\"\"\"\n", + " # From itertools recipes: batched('ABCDEFG', 2) → AB CD EF G\n", + " iterator = iter(iterable)\n", + " while batch := tuple(itertools.islice(iterator, n)):\n", + " yield batch" ] }, { @@ -56,7 +77,7 @@ "id": "94990a3c-b4a6-4648-9590-1ecad5a042cf", "metadata": {}, "source": [ - "Here is the code to create an unofficial word list (from a larger word list that may include capitalized names, numbers, etc.):" + "Here is the code to create an unofficial word list from a larger word list that may include capitalized names, numbers, phrases, etc.:" ] }, { @@ -66,15 +87,15 @@ "metadata": {}, "outputs": [], "source": [ - "def create_wordlist(in_name: str, out_name: str) -> None:\n", - " \"\"\"Create a wordlist of (approximately) legal Scrabble words.\"\"\"\n", + "def create_word_file(in_name: str, out_name: str) -> None:\n", + " \"\"\"Create a file of (approximately) legal Scrabble words.\"\"\"\n", " with open(out_name, mode='w') as out:\n", " for line in open(in_name):\n", " word = line.strip()\n", " if word.islower() and word.isalpha():\n", " print(word, file=out)\n", "\n", - "# create_wordlist('basiswoorden-gekeurd.txt', 'dutch.txt') # Only need to do this once" + "# create_word_file('basiswoorden-gekeurd.txt', 'dutch.txt') # Only need to do this once" ] }, { @@ -88,1006 +109,133 @@ { "cell_type": "code", "execution_count": 3, - "id": "c741373a-0cc7-4e35-a1eb-2749160d1b65", + "id": "51c36eee-74d6-496e-95c4-6f7aeba81cd4", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "Word list: 191,963 words; 2,434,098 characters\n", + "Word list: 191,963 words; 2,242,135 letters; 11.68 letters/word\n", "\n", - "==================\n", - "Letter Frequencies\n", + "One-Letter Frequencies:\n", + "Any Letter First Letter Last Letter\n", "\n", - "_: 191964\n", - "a: 164106\n", - "b: 49490\n", - "c: 52211\n", - "d: 88692\n", - "e: 332610\n", - "f: 28494\n", - "g: 84049\n", - "h: 48075\n", - "i: 172154\n", - "j: 24584\n", - "k: 67270\n", - "l: 106130\n", - "m: 57752\n", - "n: 162702\n", - "o: 137333\n", - "p: 56369\n", - "q: 573\n", - "r: 176061\n", - "s: 129774\n", - "t: 147881\n", - "u: 61889\n", - "v: 41975\n", - "w: 26481\n", - "x: 2118\n", - "y: 4049\n", - "z: 17192\n", - "à: 1\n", - "ä: 7\n", - "å: 2\n", - "ç: 12\n", - "è: 219\n", - "é: 397\n", - "ê: 46\n", - "ë: 833\n", - "í: 1\n", - "î: 2\n", - "ï: 388\n", - "ñ: 5\n", - "ô: 1\n", - "ö: 164\n", - "û: 4\n", - "ü: 39\n", + "_: 7.886450% _a: 0.464649% a_: 0.098640% \n", + "a: 6.742372% _b: 0.766403% b_: 0.012407% \n", + "b: 2.033196% _c: 0.275502% c_: 0.003163% \n", + "c: 2.145476% _d: 0.393411% d_: 0.691837% \n", + "d: 3.643730% _e: 0.180683% e_: 1.010929% \n", + "e: 13.726023% _f: 0.178752% f_: 0.128097% \n", + "f: 1.170618% _g: 0.413911% g_: 0.921409% \n", + "g: 3.452982% _h: 0.347233% h_: 0.068609% \n", + "h: 1.975063% _i: 0.210181% i_: 0.042233% \n", + "i: 7.088660% _j: 0.067664% j_: 0.065527% \n", + "j: 1.009984% _k: 0.542829% k_: 0.443326% \n", + "k: 2.763651% _l: 0.311327% l_: 0.507786% \n", + "l: 4.360135% _m: 0.418348% m_: 0.244526% \n", + "m: 2.372623% _n: 0.126494% n_: 1.028964% \n", + "n: 6.684486% _o: 0.388645% o_: 0.052504% \n", + "o: 5.648825% _p: 0.405407% p_: 0.174520% \n", + "p: 2.315806% _q: 0.004642% q_: 0.000041% \n", + "q: 0.023541% _r: 0.293374% r_: 0.882627% \n", + "r: 7.233108% _s: 0.687195% s_: 0.479315% \n", + "s: 5.331500% _t: 0.348548% t_: 0.921779% \n", + "t: 6.075390% _u: 0.076579% u_: 0.034304% \n", + "u: 2.544350% _v: 0.519125% v_: 0.000945% \n", + "v: 1.724457% _w: 0.275544% w_: 0.041165% \n", + "w: 1.087918% _x: 0.001479% x_: 0.015324% \n", + "x: 0.087014% _y: 0.002260% y_: 0.014954% \n", + "y: 0.166345% _z: 0.186229% z_: 0.001479% \n", + "z: 0.706298% \n", "\n", - "========================\n", - "First Letter Frequencies\n", + "Two-Character Frequencies:\n", "\n", - "_a: 11308\n", - "_b: 18655\n", - "_c: 6706\n", - "_d: 9576\n", - "_e: 4395\n", - "_f: 4351\n", - "_g: 10075\n", - "_h: 8452\n", - "_i: 5116\n", - "_j: 1647\n", - "_k: 13213\n", - "_l: 7578\n", - "_m: 10183\n", - "_n: 3079\n", - "_o: 9459\n", - "_p: 9868\n", - "_q: 113\n", - "_r: 7141\n", - "_s: 16727\n", - "_t: 8484\n", - "_u: 1861\n", - "_v: 12636\n", - "_w: 6707\n", - "_x: 36\n", - "_y: 55\n", - "_z: 4533\n", - "_à: 1\n", - "_å: 1\n", - "_é: 3\n", - "_ö: 1\n", - "_ü: 3\n", - "\n", - "=======================\n", - "Last Letter Frequencies\n", - "\n", - "a_: 2400\n", - "b_: 302\n", - "c_: 77\n", - "d_: 16840\n", - "e_: 24385\n", - "f_: 3118\n", - "g_: 22428\n", - "h_: 1670\n", - "i_: 1028\n", - "j_: 1595\n", - "k_: 10791\n", - "l_: 12360\n", - "m_: 5952\n", - "n_: 25046\n", - "o_: 1278\n", - "p_: 4248\n", - "q_: 1\n", - "r_: 21484\n", - "s_: 11667\n", - "t_: 22437\n", - "u_: 835\n", - "v_: 23\n", - "w_: 1002\n", - "x_: 373\n", - "y_: 364\n", - "z_: 36\n", - "à_: 1\n", - "è_: 2\n", - "é_: 218\n", - "ë_: 2\n", - "\n", - "==================\n", - "Digram Frequencies\n", - "\n", - "_a: 11308\n", - "_b: 18655\n", - "_c: 6706\n", - "_d: 9576\n", - "_e: 4395\n", - "_f: 4351\n", - "_g: 10075\n", - "_h: 8452\n", - "_i: 5116\n", - "_j: 1647\n", - "_k: 13213\n", - "_l: 7578\n", - "_m: 10183\n", - "_n: 3079\n", - "_o: 9459\n", - "_p: 9868\n", - "_q: 113\n", - "_r: 7141\n", - "_s: 16727\n", - "_t: 8484\n", - "_u: 1861\n", - "_v: 12636\n", - "_w: 6707\n", - "_x: 36\n", - "_y: 55\n", - "_z: 4533\n", - "_à: 1\n", - "_å: 1\n", - "_é: 3\n", - "_ö: 1\n", - "_ü: 3\n", - "a_: 2400\n", - "aa: 24855\n", - "ab: 2356\n", - "ac: 7365\n", - "ad: 5960\n", - "ae: 52\n", - "af: 4874\n", - "ag: 7612\n", - "ah: 122\n", - "ai: 1971\n", - "aj: 246\n", - "ak: 6318\n", - "al: 13056\n", - "am: 7452\n", - "an: 25156\n", - "ao: 140\n", - "ap: 5355\n", - "aq: 56\n", - "ar: 18143\n", - "as: 8248\n", - "at: 16554\n", - "au: 2687\n", - "av: 1847\n", - "aw: 160\n", - "ax: 274\n", - "ay: 110\n", - "az: 608\n", - "aä: 1\n", - "aç: 7\n", - "aë: 15\n", - "aî: 2\n", - "aï: 104\n", - "b_: 302\n", - "ba: 6939\n", - "bb: 948\n", - "bc: 30\n", - "bd: 67\n", - "be: 17749\n", - "bf: 8\n", - "bg: 14\n", - "bh: 16\n", - "bi: 3947\n", - "bj: 84\n", - "bk: 17\n", - "bl: 3423\n", - "bm: 18\n", - "bn: 9\n", - "bo: 7619\n", - "bp: 16\n", - "br: 4585\n", - "bs: 384\n", - "bt: 209\n", - "bu: 2796\n", - "bv: 26\n", - "bw: 11\n", - "by: 249\n", - "bz: 7\n", - "bè: 12\n", - "bé: 2\n", - "bê: 1\n", - "bí: 1\n", - "bü: 1\n", - "c_: 77\n", - "ca: 3346\n", - "cb: 2\n", - "cc: 427\n", - "cd: 5\n", - "ce: 3901\n", - "cf: 4\n", - "cg: 3\n", - "ch: 23076\n", - "ci: 2470\n", - "cj: 2\n", - "ck: 644\n", - "cl: 1018\n", - "cm: 4\n", - "cn: 5\n", - "co: 7205\n", - "cp: 3\n", - "cq: 17\n", - "cr: 1264\n", - "cs: 10\n", - "ct: 6402\n", - "cu: 2040\n", - "cv: 1\n", - "cw: 2\n", - "cy: 226\n", - "cz: 10\n", - "cè: 30\n", - "cé: 17\n", - "d_: 16840\n", - "da: 4433\n", - "db: 1190\n", - "dc: 255\n", - "dd: 1736\n", - "de: 25591\n", - "df: 162\n", - "dg: 885\n", - "dh: 1040\n", - "di: 11113\n", - "dj: 240\n", - "dk: 624\n", - "dl: 474\n", - "dm: 541\n", - "dn: 130\n", - "do: 4475\n", - "dp: 672\n", - "dq: 4\n", - "dr: 5916\n", - "ds: 6273\n", - "dt: 512\n", - "du: 2901\n", - "dv: 1325\n", - "dw: 940\n", - "dy: 129\n", - "dz: 276\n", - "dä: 1\n", - "dè: 2\n", - "dé: 12\n", - "e_: 24385\n", - "ea: 2648\n", - "eb: 4364\n", - "ec: 6829\n", - "ed: 11344\n", - "ee: 17181\n", - "ef: 4291\n", - "eg: 8453\n", - "eh: 1988\n", - "ei: 14809\n", - "ej: 215\n", - "ek: 11942\n", - "el: 33707\n", - "em: 8497\n", - "en: 55966\n", - "eo: 1141\n", - "ep: 5679\n", - "eq: 169\n", - "er: 71390\n", - "es: 14344\n", - "et: 12937\n", - "eu: 6786\n", - "ev: 6227\n", - "ew: 2710\n", - "ex: 1395\n", - "ey: 164\n", - "ez: 2753\n", - "eç: 2\n", - "eë: 171\n", - "eï: 110\n", - "eñ: 3\n", - "eü: 10\n", - "f_: 3118\n", - "fa: 2002\n", - "fb: 489\n", - "fc: 72\n", - "fd: 1751\n", - "fe: 3434\n", - "ff: 1691\n", - "fg: 352\n", - "fh: 320\n", - "fi: 3299\n", - "fj: 116\n", - "fk: 351\n", - "fl: 1249\n", - "fm: 199\n", - "fn: 100\n", - "fo: 2783\n", - "fp: 262\n", - "fr: 1331\n", - "fs: 1960\n", - "ft: 1486\n", - "fu: 837\n", - "fv: 544\n", - "fw: 372\n", - "fy: 81\n", - "fz: 231\n", - "fä: 1\n", - "fè: 3\n", - "fé: 54\n", - "fê: 1\n", - "fö: 4\n", - "fü: 1\n", - "g_: 22428\n", - "ga: 3828\n", - "gb: 705\n", - "gc: 173\n", - "gd: 1036\n", - "ge: 24158\n", - "gf: 101\n", - "gg: 1122\n", - "gh: 1615\n", - "gi: 5359\n", - "gj: 78\n", - "gk: 376\n", - "gl: 1152\n", - "gm: 431\n", - "gn: 779\n", - "go: 2259\n", - "gp: 458\n", - "gq: 5\n", - "gr: 6070\n", - "gs: 9433\n", - "gt: 712\n", - "gu: 664\n", - "gv: 508\n", - "gw: 285\n", - "gy: 79\n", - "gz: 216\n", - "gä: 1\n", - "gå: 1\n", - "gè: 4\n", - "gé: 10\n", - "gê: 2\n", - "gö: 1\n", - "h_: 1670\n", - "ha: 8072\n", - "hb: 34\n", - "hc: 7\n", - "hd: 12\n", - "he: 12442\n", - "hf: 8\n", - "hg: 15\n", - "hh: 5\n", - "hi: 2822\n", - "hj: 3\n", - "hk: 7\n", - "hl: 95\n", - "hm: 34\n", - "hn: 444\n", - "ho: 8322\n", - "hp: 27\n", - "hr: 1228\n", - "hs: 34\n", - "ht: 9246\n", - "hu: 3155\n", - "hv: 18\n", - "hw: 17\n", - "hy: 325\n", - "hz: 3\n", - "hè: 5\n", - "hé: 23\n", - "hô: 1\n", - "hü: 1\n", - "i_: 1028\n", - "ia: 2101\n", - "ib: 755\n", - "ic: 5726\n", - "id: 11223\n", - "ie: 32927\n", - "if: 1384\n", - "ig: 8395\n", - "ih: 80\n", - "ii: 107\n", - "ij: 18020\n", - "ik: 3400\n", - "il: 6079\n", - "im: 3139\n", - "in: 40643\n", - "io: 2777\n", - "ip: 1721\n", - "iq: 64\n", - "ir: 1648\n", - "is: 14477\n", - "it: 12205\n", - "iu: 608\n", - "iv: 2006\n", - "iw: 133\n", - "ix: 130\n", - "iy: 4\n", - "iz: 694\n", - "iè: 108\n", - "ié: 9\n", - "ië: 562\n", - "iñ: 1\n", - "j_: 1595\n", - "ja: 1693\n", - "jb: 158\n", - "jc: 21\n", - "jd: 2610\n", - "je: 3747\n", - "jf: 1870\n", - "jg: 386\n", - "jh: 133\n", - "ji: 107\n", - "jj: 1\n", - "jk: 3229\n", - "jl: 430\n", - "jm: 245\n", - "jn: 2199\n", - "jo: 801\n", - "jp: 402\n", - "jr: 34\n", - "js: 2401\n", - "jt: 415\n", - "ju: 516\n", - "jv: 711\n", - "jw: 131\n", - "jz: 749\n", - "k_: 10791\n", - "ka: 6338\n", - "kb: 883\n", - "kc: 189\n", - "kd: 288\n", - "ke: 14253\n", - "kf: 148\n", - "kg: 519\n", - "kh: 991\n", - "ki: 3696\n", - "kj: 317\n", - "kk: 3330\n", - "kl: 4329\n", - "km: 373\n", - "kn: 1008\n", - "ko: 6357\n", - "kp: 598\n", - "kq: 5\n", - "kr: 3136\n", - "ks: 2901\n", - "kt: 2698\n", - "ku: 1630\n", - "kv: 595\n", - "kw: 1485\n", - "ky: 27\n", - "kz: 380\n", - "kä: 1\n", - "ké: 1\n", - "kû: 2\n", - "kü: 1\n", - "l_: 12360\n", - "la: 15190\n", - "lb: 1260\n", - "lc: 462\n", - "ld: 4445\n", - "le: 18423\n", - "lf: 1235\n", - "lg: 1144\n", - "lh: 673\n", - "li: 19553\n", - "lj: 325\n", - "lk: 1865\n", - "ll: 4527\n", - "lm: 1188\n", - "ln: 262\n", - "lo: 9023\n", - "lp: 1384\n", - "lq: 6\n", - "lr: 464\n", - "ls: 2947\n", - "lt: 2733\n", - "lu: 4115\n", - "lv: 1181\n", - "lw: 555\n", - "ly: 425\n", - "lz: 356\n", - "lä: 1\n", - "lè: 7\n", - "lé: 16\n", - "lö: 2\n", - "lû: 2\n", - "lü: 1\n", - "m_: 5952\n", - "ma: 10326\n", - "mb: 1417\n", - "mc: 156\n", - "md: 444\n", - "me: 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\n", + "ap: 0.219999% dw: 0.038618% hd: 0.000493% km: 0.015324% nt: 0.657163% rt: 0.356313% uz: 0.040015% yk: 0.001150% \n", + "aq: 0.002301% dy: 0.005300% he: 0.512305% kn: 0.041412% nu: 0.049382% ru: 0.252825% v_: 0.000945% yl: 0.006532% \n", + "ar: 0.745410% dz: 0.011339% hf: 0.000329% ko: 0.261165% nv: 0.108911% rv: 0.122099% va: 0.185859% ym: 0.010723% \n", + "as: 0.338935% e_: 1.010929% hg: 0.000616% kp: 0.024568% nw: 0.052997% rw: 0.088534% vb: 0.000082% yn: 0.009367% \n", + "at: 0.680088% ea: 0.109281% hh: 0.000205% kq: 0.000205% nx: 0.000288% rx: 0.000329% vc: 0.000164% yo: 0.003903% \n", + "au: 0.110390% eb: 0.180108% hi: 0.115936% kr: 0.128836% ny: 0.002342% ry: 0.007436% vd: 0.000041% yp: 0.017255% \n", + "av: 0.075880% ec: 0.281213% hj: 0.000123% ks: 0.119182% nz: 0.042891% rz: 0.089273% ve: 0.844584% yr: 0.003821% \n", + "aw: 0.006573% ed: 0.466990% hk: 0.000288% kt: 0.110842% o_: 0.052504% s_: 0.479315% vf: 0.000041% ys: 0.054230% \n", + "ax: 0.011257% ee: 0.713735% hl: 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0.000041% \n", + "bn: 0.000370% ev: 0.256276% id: 0.463046% ll: 0.185983% or: 0.719199% sr: 0.062693% wb: 0.008669% zk: 0.000329% \n", + "bo: 0.313011% ew: 0.111417% ie: 1.381744% lm: 0.048807% os: 0.192761% ss: 0.273736% wc: 0.002506% zl: 0.000288% \n", + "bp: 0.000657% ex: 0.057475% if: 0.056859% ln: 0.010764% ot: 0.220616% st: 1.387619% wd: 0.005834% zm: 0.000370% \n", + "br: 0.188365% ey: 0.006738% ig: 0.345097% lo: 0.370774% ou: 0.242102% su: 0.085987% we: 0.413952% zo: 0.126905% \n", + "bs: 0.015776% ez: 0.114457% ih: 0.003328% lp: 0.056859% ov: 0.111171% sv: 0.115936% wf: 0.001438% zp: 0.000329% \n", + "bt: 0.008586% f_: 0.128097% ii: 0.004396% lq: 0.000246% ow: 0.016269% sw: 0.062200% wg: 0.003492% zr: 0.000041% \n", + "bu: 0.114909% fa: 0.082289% ij: 0.740315% lr: 0.019063% ox: 0.008340% sy: 0.053942% wh: 0.003985% zs: 0.000246% \n", + "bv: 0.001068% fb: 0.020090% ik: 0.139682% ls: 0.121072% oy: 0.004273% sz: 0.021445% wi: 0.206771% zt: 0.000205% \n", + "bw: 0.000452% fc: 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\n", + "cf: 0.000164% fl: 0.051313% iu: 0.024978% mc: 0.006409% ph: 0.010353% ti: 0.961670% ws: 0.014133% \n" ] } ], @@ -1113,765 +261,124 @@ "name": "stdout", "output_type": "stream", "text": [ - "Word list: 267,751 words; 2,707,014 characters\n", + "Word list: 267,751 words; 2,439,263 letters; 9.11 letters/word\n", "\n", - "==================\n", - "Letter Frequencies\n", + "One-Letter Frequencies:\n", + "Any Letter First Letter Last Letter\n", "\n", - "_: 267752\n", - "a: 188703\n", - "b: 44953\n", - "c: 98230\n", - "d: 81731\n", - "e: 275582\n", - "f: 28930\n", - "g: 67910\n", - "h: 60702\n", - "i: 220483\n", - "j: 4010\n", - "k: 22075\n", - "l: 127865\n", - "m: 70700\n", - "n: 163637\n", - "o: 161752\n", - "p: 73286\n", - "q: 4104\n", - "r: 170521\n", - "s: 234672\n", - "t: 159471\n", - "u: 80636\n", - "v: 22521\n", - "w: 18393\n", - "x: 6852\n", - "y: 39772\n", - "z: 11772\n", + "_: 9.891042% _a: 0.580824% a_: 0.196231% \n", + "a: 6.970889% _b: 0.530437% b_: 0.012597% \n", + "b: 1.660611% _c: 0.891019% c_: 0.221794% \n", + "c: 3.628720% _d: 0.587991% d_: 0.890169% \n", + "d: 3.019230% _e: 0.407460% e_: 1.010338% \n", + "e: 10.180291% _f: 0.374619% f_: 0.018951% \n", + "f: 1.068705% _g: 0.329293% g_: 0.717470% \n", + "g: 2.508667% _h: 0.373807% h_: 0.116217% \n", + "h: 2.242396% _i: 0.346877% i_: 0.054451% \n", + "i: 8.144875% _j: 0.080495% j_: 0.000369% \n", + "j: 0.148134% _k: 0.115662% k_: 0.081344% \n", + "k: 0.815474% _l: 0.282082% l_: 0.310342% \n", + "l: 4.723468% _m: 0.556961% m_: 0.165164% \n", + "m: 2.611733% _n: 0.229219% n_: 0.431139% \n", + "n: 6.044924% _o: 0.317841% o_: 0.065866% \n", + "o: 5.975290% _p: 0.862648% p_: 0.054673% \n", + "p: 2.707262% _q: 0.049944% q_: 0.000222% \n", + "q: 0.151606% _r: 0.535904% r_: 0.508863% \n", + "r: 6.299226% _s: 1.129473% s_: 3.788344% \n", + "s: 8.669032% _t: 0.514183% t_: 0.478017% \n", + "t: 5.891028% _u: 0.335056% u_: 0.013077% \n", + "u: 2.978779% _v: 0.163058% v_: 0.001441% \n", + "v: 0.831950% _w: 0.207276% w_: 0.021758% \n", + "w: 0.679457% _x: 0.011193% x_: 0.020207% \n", + "x: 0.253120% _y: 0.036387% y_: 0.706239% \n", + "y: 1.469220% _z: 0.041300% z_: 0.005726% \n", + "z: 0.434870% \n", "\n", - "========================\n", - "First Letter Frequencies\n", + "Two-Character Frequencies:\n", "\n", - "_a: 15723\n", - "_b: 14359\n", - "_c: 24120\n", - "_d: 15917\n", - "_e: 11030\n", - "_f: 10141\n", - "_g: 8914\n", - "_h: 10119\n", - "_i: 9390\n", - "_j: 2179\n", - "_k: 3131\n", - "_l: 7636\n", - "_m: 15077\n", - "_n: 6205\n", - "_o: 8604\n", - "_p: 23352\n", - "_q: 1352\n", - "_r: 14507\n", - "_s: 30575\n", - "_t: 13919\n", - "_u: 9070\n", - "_v: 4414\n", - "_w: 5611\n", - "_x: 303\n", - "_y: 985\n", - "_z: 1118\n", - "\n", - "=======================\n", - "Last Letter Frequencies\n", - "\n", - "a_: 5312\n", - "b_: 341\n", - "c_: 6004\n", - "d_: 24097\n", - "e_: 27350\n", - "f_: 513\n", - "g_: 19422\n", - "h_: 3146\n", - "i_: 1474\n", - "j_: 10\n", - "k_: 2202\n", - "l_: 8401\n", - "m_: 4471\n", - "n_: 11671\n", - "o_: 1783\n", - "p_: 1480\n", - "q_: 6\n", - "r_: 13775\n", - "s_: 102551\n", - "t_: 12940\n", - "u_: 354\n", - "v_: 39\n", - "w_: 589\n", - "x_: 547\n", - "y_: 19118\n", - "z_: 155\n", - "\n", - "==================\n", - "Digram Frequencies\n", - "\n", - "_a: 15723\n", - "_b: 14359\n", - "_c: 24120\n", - "_d: 15917\n", - "_e: 11030\n", - "_f: 10141\n", - "_g: 8914\n", - "_h: 10119\n", - "_i: 9390\n", - "_j: 2179\n", - "_k: 3131\n", - "_l: 7636\n", - "_m: 15077\n", - "_n: 6205\n", - "_o: 8604\n", - "_p: 23352\n", - "_q: 1352\n", - "_r: 14507\n", - "_s: 30575\n", - "_t: 13919\n", - "_u: 9070\n", - "_v: 4414\n", - "_w: 5611\n", - "_x: 303\n", - "_y: 985\n", - "_z: 1118\n", - "a_: 5312\n", - "aa: 194\n", - "ab: 8121\n", - "ac: 10801\n", - "ad: 6689\n", - "ae: 2068\n", - "af: 1616\n", - "ag: 5962\n", - "ah: 972\n", - "ai: 5279\n", - "aj: 210\n", - "ak: 2147\n", - "al: 24253\n", - "am: 7752\n", - "an: 23626\n", - "ao: 175\n", - "ap: 6920\n", - "aq: 240\n", - "ar: 21060\n", - "as: 13992\n", - "at: 29299\n", - "au: 3793\n", - "av: 2482\n", - "aw: 1671\n", - "ax: 858\n", - "ay: 2085\n", - "az: 1126\n", - "b_: 341\n", - "ba: 6342\n", - "bb: 1486\n", - "bc: 206\n", - "bd: 239\n", - "be: 6197\n", - "bf: 76\n", - "bg: 37\n", - "bh: 111\n", - "bi: 6522\n", - "bj: 183\n", - "bk: 24\n", - "bl: 7651\n", - "bm: 139\n", - "bn: 93\n", - "bo: 5542\n", - "bp: 74\n", - "br: 4105\n", - "bs: 1226\n", - "bt: 315\n", - "bu: 3480\n", - "bv: 91\n", - "bw: 65\n", - "by: 402\n", - "bz: 6\n", - "c_: 6004\n", - "ca: 14003\n", - "cb: 10\n", - "cc: 1507\n", - "cd: 44\n", - "ce: 9207\n", - "ch: 13158\n", - "ci: 7950\n", - "ck: 6180\n", - "cl: 3702\n", - "cm: 22\n", - "cn: 102\n", - "co: 15872\n", - "cp: 8\n", - "cq: 137\n", - "cr: 5791\n", - "cs: 1220\n", - "ct: 6573\n", - "cu: 4892\n", - "cw: 10\n", - "cy: 1811\n", - "cz: 27\n", - "d_: 24097\n", - "da: 4502\n", - "db: 348\n", - "dc: 177\n", - "dd: 1646\n", - "de: 15604\n", - "df: 257\n", - "dg: 913\n", - "dh: 297\n", - "di: 13361\n", - "dj: 173\n", - "dk: 27\n", - "dl: 2047\n", - "dm: 404\n", - "dn: 886\n", - "do: 5069\n", - "dp: 162\n", - "dq: 8\n", - "dr: 3313\n", - "ds: 4175\n", - "dt: 102\n", - "du: 2415\n", - "dv: 261\n", - "dw: 383\n", - "dy: 1056\n", - "dz: 48\n", - "e_: 27350\n", - "ea: 10281\n", - "eb: 2127\n", - "ec: 8848\n", - "ed: 25741\n", - "ee: 6042\n", - "ef: 2771\n", - "eg: 3042\n", - "eh: 926\n", - "ei: 2888\n", - "ej: 292\n", - "ek: 551\n", - "el: 12539\n", - "em: 8069\n", - "en: 25474\n", - "eo: 3037\n", - "ep: 5438\n", - "eq: 596\n", - "er: 48284\n", - "es: 57010\n", - "et: 12409\n", - "eu: 2171\n", - "ev: 2433\n", - "ew: 1978\n", - "ex: 3480\n", - "ey: 1449\n", - "ez: 356\n", - "f_: 513\n", - "fa: 2844\n", - "fb: 37\n", - "fc: 16\n", - "fd: 16\n", - "fe: 3649\n", - "ff: 2469\n", - "fg: 10\n", - "fh: 33\n", - "fi: 5280\n", - "fj: 5\n", - "fk: 5\n", - "fl: 3175\n", - "fm: 18\n", - "fn: 31\n", - "fo: 3783\n", - "fp: 22\n", - "fr: 2080\n", - "fs: 470\n", - "ft: 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