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"cell_type": "code",
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"cell_type": "code",
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"execution_count": 1,
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"execution_count": 1,
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"metadata": {},
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"metadata": {},
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"outputs": [
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"outputs": [],
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{
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"name": "stderr",
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"output_type": "stream",
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"text": [
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"/home/grzegorz/shiroindev/shiroindev.py:40: DeprecationWarning: invalid escape sequence \\^\n",
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" formula=re.sub('\\^{(.)}',r'^\\1',latex(formula,fold_short_frac=True).replace(' ','').replace('\\\\left(','(').replace('\\\\right)',')'))\n",
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"/home/grzegorz/shiroindev/shiroindev.py:41: DeprecationWarning: invalid escape sequence \\{\n",
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" return re.sub('\\{(\\(.+?\\))\\}',r'\\1',formula)\n"
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]
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}
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],
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"source": [
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"source": [
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"from shiroindev import *\n",
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"from shiroindev import *\n",
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"sSeed=1"
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"sSeed=1"
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@ -769,8 +758,8 @@
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"status: 0\n",
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"status: 0\n",
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"From weighted AM-GM inequality:\n",
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"From weighted AM-GM inequality:\n",
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"$$2a^2b^2c^3d \\le a^3bc^2d^2+ab^3c^4$$\n",
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"$$2a^2b^2c^3d \\le a^3bc^2d^2+ab^3c^4$$\n",
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"$$2a^2c^3d \\le a^3c^2d^2+ac^4$$\n",
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"$$4a^2bc^3d \\le a^3bc^2d^2+a^3c^2d^2+ab^3c^4+ac^4$$\n",
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"$$4a^2bc^3d \\le a^3bc^2d^2+a^3c^2d^2+ab^3c^4+ac^4$$\n",
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"$$2a^2c^3d \\le a^3c^2d^2+ac^4$$\n",
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"\n",
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"\n",
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"$$ 0 \\le \n",
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"$$ 0 \\le \n",
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"4a^3bcd^3+2a^3bd^4+2a^3cd^3+2a^2b^2cd^3+4a^2bc^2d^2+12a^2bcd^3+6a^2bd^4+4a^2c^2d^2+6a^2cd^3+4ab^3c^3d+2ab^3c^2d^2+6ab^2c^4+8ab^2c^3d+4ab^2c^2d^2+4ab^2cd^3+6abc^4+4abc^3d+6abc^2d^2+12abcd^3+6abd^4+4ac^2d^2+6acd^3+2b^3c^3d+2b^3c^2d^2+4b^2c^3d+4b^2c^2d^2+2b^2cd^3+2bc^3d+4bc^2d^2+4bcd^3+2bd^4+2c^2d^2+2cd^3 $$\n",
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"4a^3bcd^3+2a^3bd^4+2a^3cd^3+2a^2b^2cd^3+4a^2bc^2d^2+12a^2bcd^3+6a^2bd^4+4a^2c^2d^2+6a^2cd^3+4ab^3c^3d+2ab^3c^2d^2+6ab^2c^4+8ab^2c^3d+4ab^2c^2d^2+4ab^2cd^3+6abc^4+4abc^3d+6abc^2d^2+12abcd^3+6abd^4+4ac^2d^2+6acd^3+2b^3c^3d+2b^3c^2d^2+4b^2c^3d+4b^2c^2d^2+2b^2cd^3+2bc^3d+4bc^2d^2+4bcd^3+2bd^4+2c^2d^2+2cd^3 $$\n",
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