# Занятие 10. 30.03.16 Сравнения. Дополнительные задачи

```&Ccedil;&agrave;&iacute;&yuml;&ograve;&egrave;&aring; 10. 30.03.16 &Ntilde;&eth;&agrave;&acirc;&iacute;&aring;&iacute;&egrave;&yuml;. &Auml;&icirc;&iuml;&icirc;&euml;&iacute;&egrave;&ograve;&aring;&euml;&uuml;&iacute;&ucirc;&aring; &ccedil;&agrave;&auml;&agrave;&divide;&egrave;.
&Auml;&icirc;&iuml;&icirc;&euml;&iacute;&egrave;&ograve;&aring;&euml;&uuml;&iacute;&agrave;&yuml; &ccedil;&agrave;&auml;&agrave;&divide;&agrave; 1.
&auml;&aring;&euml;&egrave;&ograve;&ntilde;&yuml; &iacute;&agrave;
&Auml;&icirc;&ecirc;&agrave;&aelig;&egrave;&ograve;&aring;, &divide;&ograve;&icirc; &iuml;&eth;&egrave; &iacute;&aring;&divide;&aring;&ograve;&iacute;&ucirc;&otilde;
m.
&Auml;&icirc;&iuml;&icirc;&euml;&iacute;&egrave;&ograve;&aring;&euml;&uuml;&iacute;&agrave;&yuml; &ccedil;&agrave;&auml;&agrave;&divide;&agrave; 2.
&Auml;&icirc;&ecirc;&agrave;&aelig;&egrave;&ograve;&aring;, &divide;&ograve;&icirc;
(3n + 1)n − 2
m &egrave; n &divide;&egrave;&ntilde;&euml;&icirc; 1n + 2n + &middot; &middot; &middot; + (m − 1)n
3n − 2.
&iacute;&agrave;&ograve;&oacute;&eth;&agrave;&euml;&uuml;&iacute;&icirc;&igrave; k &divide;&egrave;&ntilde;&euml;&icirc; 3k + 5k
&auml;&aring;&euml;&egrave;&ograve;&ntilde;&yuml; &iacute;&agrave;
&Auml;&icirc;&iuml;&icirc;&euml;&iacute;&egrave;&ograve;&aring;&euml;&uuml;&iacute;&agrave;&yuml; &ccedil;&agrave;&auml;&agrave;&divide;&agrave; 3. &Auml;&icirc;&ecirc;&agrave;&aelig;&egrave;&ograve;&aring;, &divide;&ograve;&icirc; &iacute;&egrave; &iuml;&eth;&egrave; &ecirc;&agrave;&ecirc;&icirc;&igrave;
&iacute;&aring;
&yuml;&acirc;&euml;&yuml;&aring;&ograve;&ntilde;&yuml; &ecirc;&acirc;&agrave;&auml;&eth;&agrave;&ograve;&icirc;&igrave; &iacute;&agrave;&ograve;&oacute;&eth;&agrave;&euml;&uuml;&iacute;&icirc;&atilde;&icirc; &divide;&egrave;&ntilde;&euml;&agrave;.
&Auml;&icirc;&iuml;&icirc;&euml;&iacute;&egrave;&ograve;&aring;&euml;&uuml;&iacute;&agrave;&yuml; &ccedil;&agrave;&auml;&agrave;&divide;&agrave; 4. &Ntilde;&oacute;&ugrave;&aring;&ntilde;&ograve;&acirc;&oacute;&aring;&ograve; &euml;&egrave; &ntilde;&ograve;&aring;&iuml;&aring;&iacute;&uuml; &auml;&acirc;&icirc;&eacute;&ecirc;&egrave;, &egrave;&ccedil; &ecirc;&icirc;&ograve;&icirc;&eth;&icirc;&eacute; &iuml;&aring;&eth;&aring;&ntilde;&ograve;&agrave;&iacute;&icirc;&acirc;&ecirc;&icirc;&eacute; &ouml;&egrave;&ocirc;&eth;
(0 &ntilde;&ograve;&agrave;&acirc;&egrave;&ograve;&uuml; &iacute;&agrave; &iuml;&aring;&eth;&acirc;&icirc;&aring; &igrave;&aring;&ntilde;&ograve;&icirc; &iacute;&aring;&euml;&uuml;&ccedil;&yuml;) &igrave;&icirc;&aelig;&iacute;&icirc; &iuml;&icirc;&euml;&oacute;&divide;&egrave;&ograve;&uuml; &auml;&eth;&oacute;&atilde;&oacute;&thorn; &ntilde;&ograve;&aring;&iuml;&aring;&iacute;&uuml; &auml;&acirc;&icirc;&eacute;&ecirc;&egrave;?
&Auml;&icirc;&iuml;&icirc;&euml;&iacute;&egrave;&ograve;&aring;&euml;&uuml;&iacute;&agrave;&yuml; &ccedil;&agrave;&auml;&agrave;&divide;&agrave; 5. &times;&egrave;&ntilde;&euml;&agrave; a1 , . . . , an &auml;&agrave;&thorn;&ograve; &acirc;&ntilde;&aring; &icirc;&ntilde;&ograve;&agrave;&ograve;&ecirc;&egrave; &iuml;&eth;&egrave; &auml;&aring;&euml;&aring;&iacute;&egrave;&egrave; &iacute;&agrave; n. &times;&egrave;&ntilde;&euml;&agrave;
b1 , . . . , bn &ograve;&icirc;&aelig;&aring; &auml;&agrave;&thorn;&ograve; &acirc;&ntilde;&aring; &icirc;&ntilde;&ograve;&agrave;&ograve;&ecirc;&egrave; &iuml;&eth;&egrave; &auml;&aring;&euml;&aring;&iacute;&egrave;&egrave; &iacute;&agrave; n. &Iuml;&eth;&egrave; &ecirc;&agrave;&ecirc;&egrave;&otilde; n &igrave;&icirc;&aelig;&aring;&ograve; &iuml;&icirc;&euml;&oacute;&divide;&egrave;&ograve;&uuml;&ntilde;&yuml; &ograve;&agrave;&ecirc;, &divide;&ograve;&icirc;
&divide;&egrave;&ntilde;&euml;&agrave; a1 + b1 , . . . , an + bn &auml;&agrave;&thorn;&ograve; &acirc;&ntilde;&aring; &icirc;&ntilde;&ograve;&agrave;&ograve;&ecirc;&egrave; &iuml;&eth;&egrave; &auml;&aring;&euml;&aring;&iacute;&egrave;&egrave; &iacute;&agrave; n?
&Ccedil;&agrave;&iacute;&yuml;&ograve;&egrave;&aring; 10. 30.03.16 &Ntilde;&eth;&agrave;&acirc;&iacute;&aring;&iacute;&egrave;&yuml;. &Auml;&icirc;&iuml;&icirc;&euml;&iacute;&egrave;&ograve;&aring;&euml;&uuml;&iacute;&ucirc;&aring; &ccedil;&agrave;&auml;&agrave;&divide;&egrave;.
&Auml;&icirc;&iuml;&icirc;&euml;&iacute;&egrave;&ograve;&aring;&euml;&uuml;&iacute;&agrave;&yuml; &ccedil;&agrave;&auml;&agrave;&divide;&agrave; 1.
&auml;&aring;&euml;&egrave;&ograve;&ntilde;&yuml; &iacute;&agrave;
&Auml;&icirc;&ecirc;&agrave;&aelig;&egrave;&ograve;&aring;, &divide;&ograve;&icirc; &iuml;&eth;&egrave; &iacute;&aring;&divide;&aring;&ograve;&iacute;&ucirc;&otilde;
m.
&Auml;&icirc;&iuml;&icirc;&euml;&iacute;&egrave;&ograve;&aring;&euml;&uuml;&iacute;&agrave;&yuml; &ccedil;&agrave;&auml;&agrave;&divide;&agrave; 2.
&Auml;&icirc;&ecirc;&agrave;&aelig;&egrave;&ograve;&aring;, &divide;&ograve;&icirc;
(3n + 1)n − 2
m &egrave; n &divide;&egrave;&ntilde;&euml;&icirc; 1n + 2n + &middot; &middot; &middot; + (m − 1)n
3n − 2.
&iacute;&agrave;&ograve;&oacute;&eth;&agrave;&euml;&uuml;&iacute;&icirc;&igrave; k &divide;&egrave;&ntilde;&euml;&icirc; 3k + 5k
&auml;&aring;&euml;&egrave;&ograve;&ntilde;&yuml; &iacute;&agrave;
&Auml;&icirc;&iuml;&icirc;&euml;&iacute;&egrave;&ograve;&aring;&euml;&uuml;&iacute;&agrave;&yuml; &ccedil;&agrave;&auml;&agrave;&divide;&agrave; 3. &Auml;&icirc;&ecirc;&agrave;&aelig;&egrave;&ograve;&aring;, &divide;&ograve;&icirc; &iacute;&egrave; &iuml;&eth;&egrave; &ecirc;&agrave;&ecirc;&icirc;&igrave;
&iacute;&aring;
&yuml;&acirc;&euml;&yuml;&aring;&ograve;&ntilde;&yuml; &ecirc;&acirc;&agrave;&auml;&eth;&agrave;&ograve;&icirc;&igrave; &iacute;&agrave;&ograve;&oacute;&eth;&agrave;&euml;&uuml;&iacute;&icirc;&atilde;&icirc; &divide;&egrave;&ntilde;&euml;&agrave;.
&Auml;&icirc;&iuml;&icirc;&euml;&iacute;&egrave;&ograve;&aring;&euml;&uuml;&iacute;&agrave;&yuml; &ccedil;&agrave;&auml;&agrave;&divide;&agrave; 4. &Ntilde;&oacute;&ugrave;&aring;&ntilde;&ograve;&acirc;&oacute;&aring;&ograve; &euml;&egrave; &ntilde;&ograve;&aring;&iuml;&aring;&iacute;&uuml; &auml;&acirc;&icirc;&eacute;&ecirc;&egrave;, &egrave;&ccedil; &ecirc;&icirc;&ograve;&icirc;&eth;&icirc;&eacute; &iuml;&aring;&eth;&aring;&ntilde;&ograve;&agrave;&iacute;&icirc;&acirc;&ecirc;&icirc;&eacute; &ouml;&egrave;&ocirc;&eth;
(0 &ntilde;&ograve;&agrave;&acirc;&egrave;&ograve;&uuml; &iacute;&agrave; &iuml;&aring;&eth;&acirc;&icirc;&aring; &igrave;&aring;&ntilde;&ograve;&icirc; &iacute;&aring;&euml;&uuml;&ccedil;&yuml;) &igrave;&icirc;&aelig;&iacute;&icirc; &iuml;&icirc;&euml;&oacute;&divide;&egrave;&ograve;&uuml; &auml;&eth;&oacute;&atilde;&oacute;&thorn; &ntilde;&ograve;&aring;&iuml;&aring;&iacute;&uuml; &auml;&acirc;&icirc;&eacute;&ecirc;&egrave;?
&Auml;&icirc;&iuml;&icirc;&euml;&iacute;&egrave;&ograve;&aring;&euml;&uuml;&iacute;&agrave;&yuml; &ccedil;&agrave;&auml;&agrave;&divide;&agrave; 5. &times;&egrave;&ntilde;&euml;&agrave; a1 , . . . , an &auml;&agrave;&thorn;&ograve; &acirc;&ntilde;&aring; &icirc;&ntilde;&ograve;&agrave;&ograve;&ecirc;&egrave; &iuml;&eth;&egrave; &auml;&aring;&euml;&aring;&iacute;&egrave;&egrave; &iacute;&agrave; n. &times;&egrave;&ntilde;&euml;&agrave;
b1 , . . . , bn &ograve;&icirc;&aelig;&aring; &auml;&agrave;&thorn;&ograve; &acirc;&ntilde;&aring; &icirc;&ntilde;&ograve;&agrave;&ograve;&ecirc;&egrave; &iuml;&eth;&egrave; &auml;&aring;&euml;&aring;&iacute;&egrave;&egrave; &iacute;&agrave; n. &Iuml;&eth;&egrave; &ecirc;&agrave;&ecirc;&egrave;&otilde; n &igrave;&icirc;&aelig;&aring;&ograve; &iuml;&icirc;&euml;&oacute;&divide;&egrave;&ograve;&uuml;&ntilde;&yuml; &ograve;&agrave;&ecirc;, &divide;&ograve;&icirc;
&divide;&egrave;&ntilde;&euml;&agrave; a1 + b1 , . . . , an + bn &auml;&agrave;&thorn;&ograve; &acirc;&ntilde;&aring; &icirc;&ntilde;&ograve;&agrave;&ograve;&ecirc;&egrave; &iuml;&eth;&egrave; &auml;&aring;&euml;&aring;&iacute;&egrave;&egrave; &iacute;&agrave; n?
&Ccedil;&agrave;&iacute;&yuml;&ograve;&egrave;&aring; 10. 30.03.16 &Ntilde;&eth;&agrave;&acirc;&iacute;&aring;&iacute;&egrave;&yuml;. &Auml;&icirc;&iuml;&icirc;&euml;&iacute;&egrave;&ograve;&aring;&euml;&uuml;&iacute;&ucirc;&aring; &ccedil;&agrave;&auml;&agrave;&divide;&egrave;.
&Auml;&icirc;&iuml;&icirc;&euml;&iacute;&egrave;&ograve;&aring;&euml;&uuml;&iacute;&agrave;&yuml; &ccedil;&agrave;&auml;&agrave;&divide;&agrave; 1.
&auml;&aring;&euml;&egrave;&ograve;&ntilde;&yuml; &iacute;&agrave;
&Auml;&icirc;&ecirc;&agrave;&aelig;&egrave;&ograve;&aring;, &divide;&ograve;&icirc; &iuml;&eth;&egrave; &iacute;&aring;&divide;&aring;&ograve;&iacute;&ucirc;&otilde;
m.
&Auml;&icirc;&iuml;&icirc;&euml;&iacute;&egrave;&ograve;&aring;&euml;&uuml;&iacute;&agrave;&yuml; &ccedil;&agrave;&auml;&agrave;&divide;&agrave; 2.
&Auml;&icirc;&ecirc;&agrave;&aelig;&egrave;&ograve;&aring;, &divide;&ograve;&icirc;
(3n + 1)n − 2
m &egrave; n &divide;&egrave;&ntilde;&euml;&icirc; 1n + 2n + &middot; &middot; &middot; + (m − 1)n
3n − 2.
&iacute;&agrave;&ograve;&oacute;&eth;&agrave;&euml;&uuml;&iacute;&icirc;&igrave; k &divide;&egrave;&ntilde;&euml;&icirc; 3k + 5k
&auml;&aring;&euml;&egrave;&ograve;&ntilde;&yuml; &iacute;&agrave;
&Auml;&icirc;&iuml;&icirc;&euml;&iacute;&egrave;&ograve;&aring;&euml;&uuml;&iacute;&agrave;&yuml; &ccedil;&agrave;&auml;&agrave;&divide;&agrave; 3. &Auml;&icirc;&ecirc;&agrave;&aelig;&egrave;&ograve;&aring;, &divide;&ograve;&icirc; &iacute;&egrave; &iuml;&eth;&egrave; &ecirc;&agrave;&ecirc;&icirc;&igrave;
&iacute;&aring;
&yuml;&acirc;&euml;&yuml;&aring;&ograve;&ntilde;&yuml; &ecirc;&acirc;&agrave;&auml;&eth;&agrave;&ograve;&icirc;&igrave; &iacute;&agrave;&ograve;&oacute;&eth;&agrave;&euml;&uuml;&iacute;&icirc;&atilde;&icirc; &divide;&egrave;&ntilde;&euml;&agrave;.
&Auml;&icirc;&iuml;&icirc;&euml;&iacute;&egrave;&ograve;&aring;&euml;&uuml;&iacute;&agrave;&yuml; &ccedil;&agrave;&auml;&agrave;&divide;&agrave; 4. &Ntilde;&oacute;&ugrave;&aring;&ntilde;&ograve;&acirc;&oacute;&aring;&ograve; &euml;&egrave; &ntilde;&ograve;&aring;&iuml;&aring;&iacute;&uuml; &auml;&acirc;&icirc;&eacute;&ecirc;&egrave;, &egrave;&ccedil; &ecirc;&icirc;&ograve;&icirc;&eth;&icirc;&eacute; &iuml;&aring;&eth;&aring;&ntilde;&ograve;&agrave;&iacute;&icirc;&acirc;&ecirc;&icirc;&eacute; &ouml;&egrave;&ocirc;&eth;
(0 &ntilde;&ograve;&agrave;&acirc;&egrave;&ograve;&uuml; &iacute;&agrave; &iuml;&aring;&eth;&acirc;&icirc;&aring; &igrave;&aring;&ntilde;&ograve;&icirc; &iacute;&aring;&euml;&uuml;&ccedil;&yuml;) &igrave;&icirc;&aelig;&iacute;&icirc; &iuml;&icirc;&euml;&oacute;&divide;&egrave;&ograve;&uuml; &auml;&eth;&oacute;&atilde;&oacute;&thorn; &ntilde;&ograve;&aring;&iuml;&aring;&iacute;&uuml; &auml;&acirc;&icirc;&eacute;&ecirc;&egrave;?
&Auml;&icirc;&iuml;&icirc;&euml;&iacute;&egrave;&ograve;&aring;&euml;&uuml;&iacute;&agrave;&yuml; &ccedil;&agrave;&auml;&agrave;&divide;&agrave; 5. &times;&egrave;&ntilde;&euml;&agrave; a1 , . . . , an &auml;&agrave;&thorn;&ograve; &acirc;&ntilde;&aring; &icirc;&ntilde;&ograve;&agrave;&ograve;&ecirc;&egrave; &iuml;&eth;&egrave; &auml;&aring;&euml;&aring;&iacute;&egrave;&egrave; &iacute;&agrave; n. &times;&egrave;&ntilde;&euml;&agrave;
b1 , . . . , bn &ograve;&icirc;&aelig;&aring; &auml;&agrave;&thorn;&ograve; &acirc;&ntilde;&aring; &icirc;&ntilde;&ograve;&agrave;&ograve;&ecirc;&egrave; &iuml;&eth;&egrave; &auml;&aring;&euml;&aring;&iacute;&egrave;&egrave; &iacute;&agrave; n. &Iuml;&eth;&egrave; &ecirc;&agrave;&ecirc;&egrave;&otilde; n &igrave;&icirc;&aelig;&aring;&ograve; &iuml;&icirc;&euml;&oacute;&divide;&egrave;&ograve;&uuml;&ntilde;&yuml; &ograve;&agrave;&ecirc;, &divide;&ograve;&icirc;
&divide;&egrave;&ntilde;&euml;&agrave; a1 + b1 , . . . , an + bn &auml;&agrave;&thorn;&ograve; &acirc;&ntilde;&aring; &icirc;&ntilde;&ograve;&agrave;&ograve;&ecirc;&egrave; &iuml;&eth;&egrave; &auml;&aring;&euml;&aring;&iacute;&egrave;&egrave; &iacute;&agrave; n?
&Ccedil;&agrave;&iacute;&yuml;&ograve;&egrave;&aring; 10. 30.03.16 &Ntilde;&eth;&agrave;&acirc;&iacute;&aring;&iacute;&egrave;&yuml;. &Auml;&icirc;&iuml;&icirc;&euml;&iacute;&egrave;&ograve;&aring;&euml;&uuml;&iacute;&ucirc;&aring; &ccedil;&agrave;&auml;&agrave;&divide;&egrave;.
&Auml;&icirc;&iuml;&icirc;&euml;&iacute;&egrave;&ograve;&aring;&euml;&uuml;&iacute;&agrave;&yuml; &ccedil;&agrave;&auml;&agrave;&divide;&agrave; 1.
&auml;&aring;&euml;&egrave;&ograve;&ntilde;&yuml; &iacute;&agrave;
&Auml;&icirc;&ecirc;&agrave;&aelig;&egrave;&ograve;&aring;, &divide;&ograve;&icirc; &iuml;&eth;&egrave; &iacute;&aring;&divide;&aring;&ograve;&iacute;&ucirc;&otilde;
m.
&Auml;&icirc;&iuml;&icirc;&euml;&iacute;&egrave;&ograve;&aring;&euml;&uuml;&iacute;&agrave;&yuml; &ccedil;&agrave;&auml;&agrave;&divide;&agrave; 2.
&Auml;&icirc;&ecirc;&agrave;&aelig;&egrave;&ograve;&aring;, &divide;&ograve;&icirc;
(3n + 1)n − 2
m &egrave; n &divide;&egrave;&ntilde;&euml;&icirc; 1n + 2n + &middot; &middot; &middot; + (m − 1)n
3n − 2.
&iacute;&agrave;&ograve;&oacute;&eth;&agrave;&euml;&uuml;&iacute;&icirc;&igrave; k &divide;&egrave;&ntilde;&euml;&icirc; 3k + 5k
&auml;&aring;&euml;&egrave;&ograve;&ntilde;&yuml; &iacute;&agrave;
&Auml;&icirc;&iuml;&icirc;&euml;&iacute;&egrave;&ograve;&aring;&euml;&uuml;&iacute;&agrave;&yuml; &ccedil;&agrave;&auml;&agrave;&divide;&agrave; 3. &Auml;&icirc;&ecirc;&agrave;&aelig;&egrave;&ograve;&aring;, &divide;&ograve;&icirc; &iacute;&egrave; &iuml;&eth;&egrave; &ecirc;&agrave;&ecirc;&icirc;&igrave;
&iacute;&aring;
&yuml;&acirc;&euml;&yuml;&aring;&ograve;&ntilde;&yuml; &ecirc;&acirc;&agrave;&auml;&eth;&agrave;&ograve;&icirc;&igrave; &iacute;&agrave;&ograve;&oacute;&eth;&agrave;&euml;&uuml;&iacute;&icirc;&atilde;&icirc; &divide;&egrave;&ntilde;&euml;&agrave;.
&Auml;&icirc;&iuml;&icirc;&euml;&iacute;&egrave;&ograve;&aring;&euml;&uuml;&iacute;&agrave;&yuml; &ccedil;&agrave;&auml;&agrave;&divide;&agrave; 4. &Ntilde;&oacute;&ugrave;&aring;&ntilde;&ograve;&acirc;&oacute;&aring;&ograve; &euml;&egrave; &ntilde;&ograve;&aring;&iuml;&aring;&iacute;&uuml; &auml;&acirc;&icirc;&eacute;&ecirc;&egrave;, &egrave;&ccedil; &ecirc;&icirc;&ograve;&icirc;&eth;&icirc;&eacute; &iuml;&aring;&eth;&aring;&ntilde;&ograve;&agrave;&iacute;&icirc;&acirc;&ecirc;&icirc;&eacute; &ouml;&egrave;&ocirc;&eth;
(0 &ntilde;&ograve;&agrave;&acirc;&egrave;&ograve;&uuml; &iacute;&agrave; &iuml;&aring;&eth;&acirc;&icirc;&aring; &igrave;&aring;&ntilde;&ograve;&icirc; &iacute;&aring;&euml;&uuml;&ccedil;&yuml;) &igrave;&icirc;&aelig;&iacute;&icirc; &iuml;&icirc;&euml;&oacute;&divide;&egrave;&ograve;&uuml; &auml;&eth;&oacute;&atilde;&oacute;&thorn; &ntilde;&ograve;&aring;&iuml;&aring;&iacute;&uuml; &auml;&acirc;&icirc;&eacute;&ecirc;&egrave;?
&Auml;&icirc;&iuml;&icirc;&euml;&iacute;&egrave;&ograve;&aring;&euml;&uuml;&iacute;&agrave;&yuml; &ccedil;&agrave;&auml;&agrave;&divide;&agrave; 5. &times;&egrave;&ntilde;&euml;&agrave; a1 , . . . , an &auml;&agrave;&thorn;&ograve; &acirc;&ntilde;&aring; &icirc;&ntilde;&ograve;&agrave;&ograve;&ecirc;&egrave; &iuml;&eth;&egrave; &auml;&aring;&euml;&aring;&iacute;&egrave;&egrave; &iacute;&agrave; n. &times;&egrave;&ntilde;&euml;&agrave;
b1 , . . . , bn &ograve;&icirc;&aelig;&aring; &auml;&agrave;&thorn;&ograve; &acirc;&ntilde;&aring; &icirc;&ntilde;&ograve;&agrave;&ograve;&ecirc;&egrave; &iuml;&eth;&egrave; &auml;&aring;&euml;&aring;&iacute;&egrave;&egrave; &iacute;&agrave; n. &Iuml;&eth;&egrave; &ecirc;&agrave;&ecirc;&egrave;&otilde; n &igrave;&icirc;&aelig;&aring;&ograve; &iuml;&icirc;&euml;&oacute;&divide;&egrave;&ograve;&uuml;&ntilde;&yuml; &ograve;&agrave;&ecirc;, &divide;&ograve;&icirc;
&divide;&egrave;&ntilde;&euml;&agrave; a1 + b1 , . . . , an + bn &auml;&agrave;&thorn;&ograve; &acirc;&ntilde;&aring; &icirc;&ntilde;&ograve;&agrave;&ograve;&ecirc;&egrave; &iuml;&eth;&egrave; &auml;&aring;&euml;&aring;&iacute;&egrave;&egrave; &iacute;&agrave; n?
```