︠59f51040-192b-4220-992b-e5981cc29e8f︠
cipher = "OHNCCIBEDDYKXWFFDYIEGHFFCDODYFIQRXDXDMHWBWFDBPGXEDWYSINXTRFIYIQTBFNDXFIWYQTFCDSXDIFDBFSDYWHBDBWYFCWBIXFIBWYDJDXTGFCDXRGBBDBBIMHIQWFTGPWYFDQQDNFFCIFUDPWDBUDPWYWFWGYIYUOTBFWPWDBOGXDIJDXISDOWYUBEHFFCGHSCQDBBDXBGHQBNIYYGFCGRDFGDMHIQEDDFCGJDYGXOWNCDQIYSDQGFCDTYDDUYGFFCDXDPGXDUDNQWYDFGKCWBFQDFCDQIFDBFFHYDGXFGFGHNCIRDYNWQFCDDIXYDBFBFHUDYFWBNIRIEQDGPQDIXYWYSFCDXHQDBIYUIBIYIOIFDHXGPDYZGTWYSCWBINCWDJDODYF"
︡65cefb70-25ee-4b12-9a5d-fcb44e805ba1︡︡
︠5b10ad2d-ebb3-4472-b765-1c80fa064499︠
len(cipher)
︡1fe53bb1-cff1-4a43-ae76-506768c27ffb︡{"stdout": "398"}︡
︠6cd786ac-f144-42f0-bdf6-556a9bf81482︠
key = dict()
︡8b6471b1-8478-4847-affa-8c966c1914b4︡︡
︠ad79b136-7c34-4bb5-9d9b-2ac775c4a5cc︠
for i in range(26):
    key[chr(ord('A')+i)]= chr(ord('A')+i)
︡1675700a-62f7-4e86-9df2-6645548e83e3︡︡
︠fe98654f-9e33-40e5-9845-d05dcbd4a295︠
sage: def apply_key(cipher_text,cipher_key):
...       plain_text = ""
...       for ch in cipher_text:
...           plain_text += cipher_key[ch]
...       return plain_text
︡31a37187-ee73-4a0a-a5bd-77a9f178d886︡︡
︠70c85544-abdb-4d68-9838-1cef67ac147a︠
sage: def list_cmp(x,y):
...       if x[1]<y[1]:
...           return int(1)
...       if x[1]>y[1]:
...           return int(-1)
...       return int(0)
︡8be0c9ba-867c-4ed7-a480-bce0d4160608︡︡
︠8979b62d-e2fa-4faf-bb63-6b9fe6be1317︠
sage: #Based on most common letter
sage: key['D'] = 'e'
sage: #Based on most common digraph
sage: key['C'] = 'h'
sage: key['F'] = 't'
sage: #Based on most common digraph not containing eth
sage: key['W'] = 'i'
sage: key['Y'] = 'n'
sage: #Based on most common remaining letter
sage: key['I'] = 'a'
sage: #Based on common letter with lots of doubles occurances
sage: key['B'] = 's'
sage: #To make the work "been" after has
sage: key['E'] = 'b'
sage: #To make ab__t into about
sage: key['G'] = 'o'
sage: key['H'] = 'u'
sage: #Based on frequency and high digraph of Qe
sage: key['X'] = 'r'
sage: #Based on the Mu digraph frequency
sage: key['M'] = 'q'
sage: #To make _ritten into written
sage: key['K'] = 'w'
sage: #To make _rerequisites into prerequisites
sage: key['R'] = 'p'
sage: #To make _u_h into much
sage: key['O'] = 'm'
sage: key['N'] = 'c'
sage: #To make _ental into mental
sage: key['Q'] = 'l'
sage: #To make cr_ptanal_st into cryptanalyst
sage: key['T'] = 'y'
sage: #To make _or into for
sage: key['P'] = 'f'
sage: #To make bein_ into being
sage: key['S'] = 'g'
sage: #To make e_ery into every
sage: key['J'] = 'v'
sage: #To make _efies_efinition into defies definition
sage: key['U'] = 'd'
sage: #To make en_oy into enjoy
sage: key['Z'] = 'j'
︡569e3f17-91f2-46ea-b1f8-26c6f89652c1︡︡
︠5b3058ab-f945-426b-b94c-1a74c5daecd4︠
sage: data = [["Letter", "Frequency", "Percentage"]]
sage: for i in range(26):
...       data.append([key[chr(ord('A') + i)],cipher.count(chr(ord('A') + i)),100*(0.0+cipher.count(chr(ord('A') + i)))/len(cipher) ])
...
sage: data.sort(list_cmp)
sage: html.table(data)
︡39b30842-b764-4ff2-85ea-8e9facc1d6d4︡{"html": "\n<div class=\"notruncate\">\n<table class=\"table_form\">\n<tbody>\n<tr class =\"row-a\">\n<td>Letter</td>\n<td>Frequency</td>\n<td>Percentage</td>\n</tr>\n<tr class =\"row-b\">\n<td>e</td>\n<td><span class=\"math\">63</span></td>\n<td><span class=\"math\">15.8291457286432</span></td>\n</tr>\n<tr class =\"row-a\">\n<td>t</td>\n<td><span class=\"math\">45</span></td>\n<td><span class=\"math\">11.3065326633166</span></td>\n</tr>\n<tr class =\"row-b\">\n<td>n</td>\n<td><span class=\"math\">32</span></td>\n<td><span class=\"math\">8.04020100502512</span></td>\n</tr>\n<tr class =\"row-a\">\n<td>a</td>\n<td><span class=\"math\">31</span></td>\n<td><span class=\"math\">7.78894472361809</span></td>\n</tr>\n<tr class =\"row-b\">\n<td>s</td>\n<td><span class=\"math\">29</span></td>\n<td><span class=\"math\">7.28643216080402</span></td>\n</tr>\n<tr class =\"row-a\">\n<td>i</td>\n<td><span class=\"math\">27</span></td>\n<td><span class=\"math\">6.78391959798995</span></td>\n</tr>\n<tr class =\"row-b\">\n<td>o</td>\n<td><span class=\"math\">24</span></td>\n<td><span class=\"math\">6.03015075376884</span></td>\n</tr>\n<tr class =\"row-a\">\n<td>h</td>\n<td><span class=\"math\">21</span></td>\n<td><span class=\"math\">5.27638190954774</span></td>\n</tr>\n<tr class =\"row-b\">\n<td>r</td>\n<td><span class=\"math\">21</span></td>\n<td><span class=\"math\">5.27638190954774</span></td>\n</tr>\n<tr class =\"row-a\">\n<td>l</td>\n<td><span class=\"math\">18</span></td>\n<td><span class=\"math\">4.52261306532663</span></td>\n</tr>\n<tr class =\"row-b\">\n<td>u</td>\n<td><span class=\"math\">14</span></td>\n<td><span class=\"math\">3.51758793969849</span></td>\n</tr>\n<tr class =\"row-a\">\n<td>c</td>\n<td><span class=\"math\">11</span></td>\n<td><span class=\"math\">2.76381909547739</span></td>\n</tr>\n<tr class =\"row-b\">\n<td>m</td>\n<td><span class=\"math\">8</span></td>\n<td><span class=\"math\">2.01005025125628</span></td>\n</tr>\n<tr class =\"row-a\">\n<td>f</td>\n<td><span class=\"math\">8</span></td>\n<td><span class=\"math\">2.01005025125628</span></td>\n</tr>\n<tr class =\"row-b\">\n<td>g</td>\n<td><span class=\"math\">8</span></td>\n<td><span class=\"math\">2.01005025125628</span></td>\n</tr>\n<tr class =\"row-a\">\n<td>y</td>\n<td><span class=\"math\">8</span></td>\n<td><span class=\"math\">2.01005025125628</span></td>\n</tr>\n<tr class =\"row-b\">\n<td>d</td>\n<td><span class=\"math\">8</span></td>\n<td><span class=\"math\">2.01005025125628</span></td>\n</tr>\n<tr class =\"row-a\">\n<td>b</td>\n<td><span class=\"math\">6</span></td>\n<td><span class=\"math\">1.50753768844221</span></td>\n</tr>\n<tr class =\"row-b\">\n<td>p</td>\n<td><span class=\"math\">6</span></td>\n<td><span class=\"math\">1.50753768844221</span></td>\n</tr>\n<tr class =\"row-a\">\n<td>v</td>\n<td><span class=\"math\">4</span></td>\n<td><span class=\"math\">1.00502512562814</span></td>\n</tr>\n<tr class =\"row-b\">\n<td>q</td>\n<td><span class=\"math\">3</span></td>\n<td><span class=\"math\">0.753768844221106</span></td>\n</tr>\n<tr class =\"row-a\">\n<td>w</td>\n<td><span class=\"math\">2</span></td>\n<td><span class=\"math\">0.502512562814070</span></td>\n</tr>\n<tr class =\"row-b\">\n<td>j</td>\n<td><span class=\"math\">1</span></td>\n<td><span class=\"math\">0.251256281407035</span></td>\n</tr>\n<tr class =\"row-a\">\n<td>A</td>\n<td><span class=\"math\">0</span></td>\n<td><span class=\"math\">0.000000000000000</span></td>\n</tr>\n<tr class =\"row-b\">\n<td>L</td>\n<td><span class=\"math\">0</span></td>\n<td><span class=\"math\">0.000000000000000</span></td>\n</tr>\n<tr class =\"row-a\">\n<td>V</td>\n<td><span class=\"math\">0</span></td>\n<td><span class=\"math\">0.000000000000000</span></td>\n</tr>\n</tbody>\n</table>\n</div>\n"}︡
︠507da647-1851-4882-854c-d7b9794a3fc7︠
sage: data = list(range(27))
sage: for i in range(27):
...       data[i] = list(range(27))
...
sage: for i in range(26):
...       data[0][1+i] = key[chr(ord('A') + i)]   
...
sage: for i in range(26):
...       data[1+i][0] = key[chr(ord('A') + i)]  
...
︡1634a6aa-057a-4fa1-8d2e-1b614451d098︡︡
︠e5f2e6fc-6b85-4d29-87be-4340dd9e3cef︠
sage: for i in range(26):
...       f = chr(ord('A') + i)
...       for j in range(26):
...           s = chr(ord('A') + j)
...           if cipher.count(f+s) == 0:
...               data[i+1][j+1] = " "
...           else:
...               data[i+1][j+1] = cipher.count(f+s)
...           
...
sage: html.table(data)
︡bf91304a-0553-4c9c-9186-1530ef4b151c︡{"html": "\n<div class=\"notruncate\">\n<table class=\"table_form\">\n<tbody>\n<tr class =\"row-a\">\n<td><span class=\"math\">0</span></td>\n<td>A</td>\n<td>s</td>\n<td>h</td>\n<td>e</td>\n<td>b</td>\n<td>t</td>\n<td>o</td>\n<td>u</td>\n<td>a</td>\n<td>v</td>\n<td>w</td>\n<td>L</td>\n<td>q</td>\n<td>c</td>\n<td>m</td>\n<td>f</td>\n<td>l</td>\n<td>p</td>\n<td>g</td>\n<td>y</td>\n<td>d</td>\n<td>V</td>\n<td>i</td>\n<td>r</td>\n<td>n</td>\n<td>j</td>\n</tr>\n<tr class =\"row-b\">\n<td>A</td>\n<td> </td>\n<td> </td>\n<td> </td>\n<td> </td>\n<td> </td>\n<td> </td>\n<td> </td>\n<td> </td>\n<td> </td>\n<td> </td>\n<td> </td>\n<td> </td>\n<td> </td>\n<td> </td>\n<td> </td>\n<td> </td>\n<td> </td>\n<td> </td>\n<td> </td>\n<td> </td>\n<td> </td>\n<td> </td>\n<td> </td>\n<td> </td>\n<td> </td>\n<td> </td>\n</tr>\n<tr class =\"row-a\">\n<td>s</td>\n<td> </td>\n<td><span class=\"math\">3</span></td>\n<td> </td>\n<td><span class=\"math\">3</span></td>\n<td><span class=\"math\">2</span></td>\n<td><span class=\"math\">7</span></td>\n<td><span class=\"math\">1</span></td>\n<td> </td>\n<td><span class=\"math\">5</span></td>\n<td> </td>\n<td> </td>\n<td> </td>\n<td> </td>\n<td><span class=\"math\">2</span></td>\n<td><span class=\"math\">1</span></td>\n<td><span class=\"math\">1</span></td>\n<td> </td>\n<td> </td>\n<td> </td>\n<td> </td>\n<td><span class=\"math\">1</span></td>\n<td> </td>\n<td><span class=\"math\">3</span></td>\n<td> </td>\n<td> </td>\n<td> </td>\n</tr>\n<tr class =\"row-b\">\n<td>h</td>\n<td> </td>\n<td> </td>\n<td><span class=\"math\">1</span></td>\n<td><span class=\"math\">9</span></td>\n<td> </td>\n<td> </td>\n<td><span class=\"math\">3</span></td>\n<td> </td>\n<td><span class=\"math\">3</span></td>\n<td> </td>\n<td> </td>\n<td> </td>\n<td> </td>\n<td> </td>\n<td> </td>\n<td> </td>\n<td><span class=\"math\">1</span></td>\n<td> </td>\n<td> </td>\n<td> </td>\n<td> </td>\n<td> </td>\n<td><span class=\"math\">4</span></td>\n<td> </td>\n<td> </td>\n<td> </td>\n</tr>\n<tr class =\"row-a\">\n<td>e</td>\n<td> </td>\n<td><span class=\"math\">10</span></td>\n<td> </td>\n<td><span class=\"math\">4</span></td>\n<td> </td>\n<td><span class=\"math\">4</span></td>\n<td><span class=\"math\">2</span></td>\n<td><span class=\"math\">1</span></td>\n<td><span class=\"math\">4</span></td>\n<td><span class=\"math\">2</span></td>\n<td> </td>\n<td> </td>\n<td><span class=\"math\">2</span></td>\n<td><span class=\"math\">2</span></td>\n<td><span class=\"math\">3</span></td>\n<td><span class=\"math\">3</span></td>\n<td><span class=\"math\">4</span></td>\n<td> </td>\n<td><span class=\"math\">1</span></td>\n<td><span class=\"math\">1</span></td>\n<td><span class=\"math\">2</span></td>\n<td> </td>\n<td><span class=\"math\">1</span></td>\n<td><span class=\"math\">8</span></td>\n<td><span class=\"math\">9</span></td>\n<td> </td>\n</tr>\n<tr class =\"row-b\">\n<td>b</td>\n<td> </td>\n<td> </td>\n<td> </td>\n<td><span class=\"math\">3</span></td>\n<td> </td>\n<td> </td>\n<td><span class=\"math\">1</span></td>\n<td><span class=\"math\">1</span></td>\n<td> </td>\n<td> </td>\n<td> </td>\n<td> </td>\n<td> </td>\n<td> </td>\n<td> </td>\n<td> </td>\n<td><span class=\"math\">1</span></td>\n<td> </td>\n<td> </td>\n<td> </td>\n<td> </td>\n<td> </td>\n<td> </td>\n<td> </td>\n<td> </td>\n<td> </td>\n</tr>\n<tr class =\"row-a\">\n<td>t</td>\n<td> </td>\n<td><span class=\"math\">1</span></td>\n<td><span class=\"math\">13</span></td>\n<td><span class=\"math\">6</span></td>\n<td> </td>\n<td><span class=\"math\">6</span></td>\n<td><span class=\"math\">4</span></td>\n<td><span class=\"math\">2</span></td>\n<td><span class=\"math\">4</span></td>\n<td> </td>\n<td> </td>\n<td> </td>\n<td> </td>\n<td><span class=\"math\">1</span></td>\n<td> </td>\n<td> </td>\n<td><span class=\"math\">1</span></td>\n<td> </td>\n<td><span class=\"math\">1</span></td>\n<td><span class=\"math\">1</span></td>\n<td><span class=\"math\">1</span></td>\n<td> </td>\n<td><span class=\"math\">3</span></td>\n<td> </td>\n<td> </td>\n<td> </td>\n</tr>\n<tr class =\"row-b\">\n<td>o</td>\n<td> </td>\n<td><span class=\"math\">1</span></td>\n<td> </td>\n<td><span class=\"math\">1</span></td>\n<td> </td>\n<td><span class=\"math\">5</span></td>\n<td> </td>\n<td><span class=\"math\">4</span></td>\n<td> </td>\n<td><span class=\"math\">1</span></td>\n<td><span class=\"math\">1</span></td>\n<td> </td>\n<td> </td>\n<td> </td>\n<td> </td>\n<td><span class=\"math\">3</span></td>\n<td> </td>\n<td><span class=\"math\">1</span></td>\n<td> </td>\n<td><span class=\"math\">1</span></td>\n<td> </td>\n<td> </td>\n<td> </td>\n<td><span class=\"math\">5</span></td>\n<td><span class=\"math\">1</span></td>\n<td> </td>\n</tr>\n<tr class =\"row-a\">\n<td>u</td>\n<td> </td>\n<td><span class=\"math\">1</span></td>\n<td> </td>\n<td> </td>\n<td> </td>\n<td><span class=\"math\">2</span></td>\n<td> </td>\n<td> </td>\n<td><span class=\"math\">2</span></td>\n<td> </td>\n<td> </td>\n<td> </td>\n<td> </td>\n<td><span class=\"math\">2</span></td>\n<td> </td>\n<td> </td>\n<td><span class=\"math\">2</span></td>\n<td> </td>\n<td><span class=\"math\">1</span></td>\n<td> </td>\n<td><span class=\"math\">1</span></td>\n<td> </td>\n<td><span class=\"math\">1</span></td>\n<td><span class=\"math\">1</span></td>\n<td><span class=\"math\">1</span></td>\n<td> </td>\n</tr>\n<tr class =\"row-b\">\n<td>a</td>\n<td> </td>\n<td><span class=\"math\">3</span></td>\n<td> </td>\n<td> </td>\n<td><span class=\"math\">2</span></td>\n<td><span class=\"math\">4</span></td>\n<td> </td>\n<td> </td>\n<td> </td>\n<td><span class=\"math\">1</span></td>\n<td> </td>\n<td> </td>\n<td><span class=\"math\">1</span></td>\n<td><span class=\"math\">2</span></td>\n<td><span class=\"math\">1</span></td>\n<td> </td>\n<td><span class=\"math\">4</span></td>\n<td><span class=\"math\">2</span></td>\n<td><span class=\"math\">1</span></td>\n<td> </td>\n<td> </td>\n<td> </td>\n<td><span class=\"math\">1</span></td>\n<td><span class=\"math\">3</span></td>\n<td><span class=\"math\">6</span></td>\n<td> </td>\n</tr>\n<tr class =\"row-a\">\n<td>v</td>\n<td> </td>\n<td> </td>\n<td> </td>\n<td><span class=\"math\">4</span></td>\n<td> </td>\n<td> </td>\n<td> </td>\n<td> </td>\n<td> </td>\n<td> </td>\n<td> </td>\n<td> </td>\n<td> </td>\n<td> </td>\n<td> </td>\n<td> </td>\n<td> </td>\n<td> </td>\n<td> </td>\n<td> </td>\n<td> </td>\n<td> </td>\n<td> </td>\n<td> </td>\n<td> </td>\n<td> </td>\n</tr>\n<tr class =\"row-b\">\n<td>w</td>\n<td> </td>\n<td> </td>\n<td><span class=\"math\">1</span></td>\n<td> </td>\n<td> </td>\n<td> </td>\n<td> </td>\n<td> </td>\n<td> </td>\n<td> </td>\n<td> </td>\n<td> </td>\n<td> </td>\n<td> </td>\n<td> </td>\n<td> </td>\n<td> </td>\n<td> </td>\n<td> </td>\n<td> </td>\n<td> </td>\n<td> </td>\n<td> </td>\n<td><span class=\"math\">1</span></td>\n<td> </td>\n<td> </td>\n</tr>\n<tr class =\"row-a\">\n<td>L</td>\n<td> </td>\n<td> </td>\n<td> </td>\n<td> </td>\n<td> </td>\n<td> </td>\n<td> </td>\n<td> </td>\n<td> </td>\n<td> </td>\n<td> </td>\n<td> </td>\n<td> </td>\n<td> </td>\n<td> </td>\n<td> </td>\n<td> </td>\n<td> </td>\n<td> </td>\n<td> </td>\n<td> </td>\n<td> </td>\n<td> </td>\n<td> </td>\n<td> </td>\n<td> </td>\n</tr>\n<tr class =\"row-b\">\n<td>q</td>\n<td> </td>\n<td> </td>\n<td> </td>\n<td> </td>\n<td> </td>\n<td> </td>\n<td> </td>\n<td><span class=\"math\">3</span></td>\n<td> </td>\n<td> </td>\n<td> </td>\n<td> </td>\n<td> </td>\n<td> </td>\n<td> </td>\n<td> </td>\n<td> </td>\n<td> </td>\n<td> </td>\n<td> </td>\n<td> </td>\n<td> </td>\n<td> </td>\n<td> </td>\n<td> </td>\n<td> </td>\n</tr>\n<tr class =\"row-a\">\n<td>c</td>\n<td> </td>\n<td> </td>\n<td><span class=\"math\">4</span></td>\n<td><span class=\"math\">1</span></td>\n<td> </td>\n<td><span class=\"math\">1</span></td>\n<td> </td>\n<td> </td>\n<td><span class=\"math\">2</span></td>\n<td> </td>\n<td> </td>\n<td> </td>\n<td> </td>\n<td> </td>\n<td> </td>\n<td> </td>\n<td><span class=\"math\">1</span></td>\n<td> </td>\n<td> </td>\n<td> </td>\n<td> </td>\n<td> </td>\n<td><span class=\"math\">1</span></td>\n<td><span class=\"math\">1</span></td>\n<td> </td>\n<td> </td>\n</tr>\n<tr class =\"row-b\">\n<td>m</td>\n<td> </td>\n<td> </td>\n<td> </td>\n<td><span class=\"math\">2</span></td>\n<td> </td>\n<td> </td>\n<td><span class=\"math\">1</span></td>\n<td><span class=\"math\">1</span></td>\n<td><span class=\"math\">1</span></td>\n<td> </td>\n<td> </td>\n<td> </td>\n<td> </td>\n<td> </td>\n<td> </td>\n<td> </td>\n<td> </td>\n<td> </td>\n<td> </td>\n<td><span class=\"math\">1</span></td>\n<td> </td>\n<td> </td>\n<td><span class=\"math\">2</span></td>\n<td> </td>\n<td> </td>\n<td> </td>\n</tr>\n<tr class =\"row-a\">\n<td>f</td>\n<td> </td>\n<td> </td>\n<td> </td>\n<td><span class=\"math\">1</span></td>\n<td> </td>\n<td> </td>\n<td><span class=\"math\">2</span></td>\n<td> </td>\n<td> </td>\n<td> </td>\n<td> </td>\n<td> </td>\n<td> </td>\n<td> </td>\n<td> </td>\n<td> </td>\n<td><span class=\"math\">1</span></td>\n<td> </td>\n<td> </td>\n<td> </td>\n<td> </td>\n<td> </td>\n<td><span class=\"math\">4</span></td>\n<td> </td>\n<td> </td>\n<td> </td>\n</tr>\n<tr class =\"row-b\">\n<td>l</td>\n<td> </td>\n<td><span class=\"math\">1</span></td>\n<td> </td>\n<td><span class=\"math\">6</span></td>\n<td><span class=\"math\">1</span></td>\n<td><span class=\"math\">1</span></td>\n<td><span class=\"math\">1</span></td>\n<td> </td>\n<td><span class=\"math\">2</span></td>\n<td> </td>\n<td> </td>\n<td> </td>\n<td> </td>\n<td> </td>\n<td> </td>\n<td> </td>\n<td><span class=\"math\">1</span></td>\n<td><span class=\"math\">1</span></td>\n<td> </td>\n<td><span class=\"math\">2</span></td>\n<td> </td>\n<td> </td>\n<td><span class=\"math\">2</span></td>\n<td> </td>\n<td> </td>\n<td> </td>\n</tr>\n<tr class =\"row-a\">\n<td>p</td>\n<td> </td>\n<td> </td>\n<td> </td>\n<td><span class=\"math\">2</span></td>\n<td> </td>\n<td><span class=\"math\">1</span></td>\n<td><span class=\"math\">1</span></td>\n<td> </td>\n<td><span class=\"math\">1</span></td>\n<td> </td>\n<td> </td>\n<td> </td>\n<td> </td>\n<td> </td>\n<td> </td>\n<td> </td>\n<td> </td>\n<td> </td>\n<td> </td>\n<td> </td>\n<td> </td>\n<td> </td>\n<td> </td>\n<td><span class=\"math\">1</span></td>\n<td> </td>\n<td> </td>\n</tr>\n<tr class =\"row-b\">\n<td>g</td>\n<td> </td>\n<td> </td>\n<td><span class=\"math\">2</span></td>\n<td><span class=\"math\">3</span></td>\n<td> </td>\n<td><span class=\"math\">1</span></td>\n<td> </td>\n<td> </td>\n<td><span class=\"math\">1</span></td>\n<td> </td>\n<td> </td>\n<td> </td>\n<td> </td>\n<td> </td>\n<td> </td>\n<td> </td>\n<td> </td>\n<td> </td>\n<td> </td>\n<td> </td>\n<td> </td>\n<td> </td>\n<td> </td>\n<td><span class=\"math\">1</span></td>\n<td> </td>\n<td> </td>\n</tr>\n<tr class =\"row-a\">\n<td>y</td>\n<td> </td>\n<td><span class=\"math\">2</span></td>\n<td> </td>\n<td> </td>\n<td> </td>\n<td><span class=\"math\">1</span></td>\n<td><span class=\"math\">2</span></td>\n<td> </td>\n<td> </td>\n<td> </td>\n<td> </td>\n<td> </td>\n<td> </td>\n<td> </td>\n<td> </td>\n<td> </td>\n<td> </td>\n<td><span class=\"math\">1</span></td>\n<td> </td>\n<td> </td>\n<td> </td>\n<td> </td>\n<td><span class=\"math\">1</span></td>\n<td> </td>\n<td><span class=\"math\">1</span></td>\n<td> </td>\n</tr>\n<tr class =\"row-b\">\n<td>d</td>\n<td> </td>\n<td><span class=\"math\">1</span></td>\n<td> </td>\n<td><span class=\"math\">4</span></td>\n<td> </td>\n<td> </td>\n<td> </td>\n<td> </td>\n<td><span class=\"math\">1</span></td>\n<td> </td>\n<td> </td>\n<td> </td>\n<td> </td>\n<td> </td>\n<td><span class=\"math\">1</span></td>\n<td> </td>\n<td> </td>\n<td> </td>\n<td> </td>\n<td> </td>\n<td> </td>\n<td> </td>\n<td> </td>\n<td> </td>\n<td><span class=\"math\">1</span></td>\n<td> </td>\n</tr>\n<tr class =\"row-a\">\n<td>V</td>\n<td> </td>\n<td> </td>\n<td> </td>\n<td> </td>\n<td> </td>\n<td> </td>\n<td> </td>\n<td> </td>\n<td> </td>\n<td> </td>\n<td> </td>\n<td> </td>\n<td> </td>\n<td> </td>\n<td> </td>\n<td> </td>\n<td> </td>\n<td> </td>\n<td> </td>\n<td> </td>\n<td> </td>\n<td> </td>\n<td> </td>\n<td> </td>\n<td> </td>\n<td> </td>\n</tr>\n<tr class =\"row-b\">\n<td>i</td>\n<td> </td>\n<td><span class=\"math\">5</span></td>\n<td> </td>\n<td><span class=\"math\">3</span></td>\n<td> </td>\n<td><span class=\"math\">4</span></td>\n<td><span class=\"math\">1</span></td>\n<td><span class=\"math\">1</span></td>\n<td> </td>\n<td> </td>\n<td> </td>\n<td> </td>\n<td> </td>\n<td><span class=\"math\">1</span></td>\n<td> </td>\n<td><span class=\"math\">1</span></td>\n<td><span class=\"math\">1</span></td>\n<td> </td>\n<td> </td>\n<td> </td>\n<td> </td>\n<td> </td>\n<td> </td>\n<td> </td>\n<td><span class=\"math\">10</span></td>\n<td> </td>\n</tr>\n<tr class =\"row-a\">\n<td>r</td>\n<td> </td>\n<td><span class=\"math\">1</span></td>\n<td> </td>\n<td><span class=\"math\">6</span></td>\n<td><span class=\"math\">1</span></td>\n<td><span class=\"math\">3</span></td>\n<td><span class=\"math\">1</span></td>\n<td><span class=\"math\">1</span></td>\n<td><span class=\"math\">1</span></td>\n<td> </td>\n<td> </td>\n<td> </td>\n<td> </td>\n<td> </td>\n<td><span class=\"math\">1</span></td>\n<td> </td>\n<td> </td>\n<td><span class=\"math\">1</span></td>\n<td> </td>\n<td><span class=\"math\">2</span></td>\n<td> </td>\n<td> </td>\n<td><span class=\"math\">1</span></td>\n<td> </td>\n<td><span class=\"math\">2</span></td>\n<td> </td>\n</tr>\n<tr class =\"row-b\">\n<td>n</td>\n<td> </td>\n<td> </td>\n<td> </td>\n<td><span class=\"math\">5</span></td>\n<td> </td>\n<td><span class=\"math\">5</span></td>\n<td><span class=\"math\">3</span></td>\n<td> </td>\n<td><span class=\"math\">4</span></td>\n<td> </td>\n<td><span class=\"math\">1</span></td>\n<td> </td>\n<td> </td>\n<td><span class=\"math\">1</span></td>\n<td> </td>\n<td> </td>\n<td><span class=\"math\">1</span></td>\n<td> </td>\n<td><span class=\"math\">4</span></td>\n<td> </td>\n<td><span class=\"math\">3</span></td>\n<td> </td>\n<td><span class=\"math\">3</span></td>\n<td> </td>\n<td><span class=\"math\">1</span></td>\n<td><span class=\"math\">1</span></td>\n</tr>\n<tr class =\"row-a\">\n<td>j</td>\n<td> </td>\n<td> </td>\n<td> </td>\n<td> </td>\n<td> </td>\n<td> </td>\n<td><span class=\"math\">1</span></td>\n<td> </td>\n<td> </td>\n<td> </td>\n<td> </td>\n<td> </td>\n<td> </td>\n<td> </td>\n<td> </td>\n<td> </td>\n<td> </td>\n<td> </td>\n<td> </td>\n<td> </td>\n<td> </td>\n<td> </td>\n<td> </td>\n<td> </td>\n<td> </td>\n<td> </td>\n</tr>\n</tbody>\n</table>\n</div>\n"}︡
︠9d9788bb-3870-40c0-82e2-9da09f18237e︠
sage: apply_key(cipher,key)
︡abdf63a2-b88b-4c80-bb7e-60b8658f645c︡{"stdout": "'muchhasbeenwrittenaboutthementalprerequisitesforbeingacryptanalystcertainlythegreatestgeniusesinthisartasineveryotherpossessaqualityofintellectthatdefiesdefinitionandmystifiesmoreaveragemindsbutthoughlessersoulscannothopetoequalbeethovenormichelangelotheyneednotthereforedeclinetowhistlethelatesttuneortotouchapenciltheearneststudentiscapableoflearningtherulesandasanamateurofenjoyinghisachievement'"}︡