{"id":5158,"date":"2018-01-28T00:18:14","date_gmt":"2018-01-27T17:18:14","guid":{"rendered":"http:\/\/witpoko.com\/?p=5158"},"modified":"2018-01-29T10:28:06","modified_gmt":"2018-01-29T03:28:06","slug":"%e0%b8%a7%e0%b8%b2%e0%b8%94%e0%b8%a0%e0%b8%b2%e0%b8%9e%e0%b8%82%e0%b8%b2%e0%b8%a7%e0%b8%94%e0%b8%b3%e0%b9%83%e0%b8%ab%e0%b9%89%e0%b9%80%e0%b8%9b%e0%b9%87%e0%b8%99%e0%b8%88%e0%b8%b3%e0%b8%99%e0%b8%a7","status":"publish","type":"post","link":"https:\/\/witpoko.com\/?p=5158","title":{"rendered":"\u0e27\u0e32\u0e14\u0e20\u0e32\u0e1e\u0e02\u0e32\u0e27\u0e14\u0e33\u0e43\u0e2b\u0e49\u0e40\u0e1b\u0e47\u0e19\u0e08\u0e33\u0e19\u0e27\u0e19\u0e40\u0e09\u0e1e\u0e32\u0e30"},"content":{"rendered":"

\u0e1c\u0e21\u0e44\u0e1b\u0e40\u0e2b\u0e47\u0e19\u0e42\u0e1e\u0e2a\u0e15\u0e4c\u0e15\u0e25\u0e01\u0e46\u0e43\u0e19 Reddit<\/a> \u0e21\u0e32 \u0e01\u0e32\u0e23\u0e4c\u0e15\u0e39\u0e19\u0e1a\u0e2d\u0e01\u0e27\u0e48\u0e32\u0e2a\u0e32\u0e21\u0e32\u0e23\u0e16\u0e40\u0e2d\u0e32\u0e15\u0e31\u0e27\u0e40\u0e25\u0e02 0 \u0e41\u0e25\u0e30 1 \u0e21\u0e32\u0e40\u0e23\u0e35\u0e22\u0e07\u0e01\u0e31\u0e19\u0e1a\u0e19\u0e08\u0e2d\u0e42\u0e17\u0e23\u0e28\u0e31\u0e1e\u0e17\u0e4c\u0e43\u0e2b\u0e49\u0e40\u0e1b\u0e47\u0e19\u0e23\u0e39\u0e1b\u0e22\u0e35\u0e23\u0e32\u0e1f\u0e41\u0e25\u0e30\u0e40\u0e25\u0e02 0 \u0e41\u0e25\u0e30 1 \u0e17\u0e35\u0e48\u0e40\u0e23\u0e35\u0e22\u0e07\u0e01\u0e31\u0e19\u0e19\u0e31\u0e49\u0e19\u0e16\u0e49\u0e32\u0e15\u0e35\u0e04\u0e27\u0e32\u0e21\u0e40\u0e1b\u0e47\u0e19\u0e40\u0e40\u0e25\u0e02\u0e10\u0e32\u0e19\u0e2a\u0e2d\u0e07\u0e41\u0e25\u0e49\u0e27 \u0e21\u0e31\u0e19\u0e08\u0e30\u0e40\u0e1b\u0e47\u0e19\u0e40\u0e25\u0e02\u0e08\u0e33\u0e19\u0e27\u0e19\u0e40\u0e09\u0e1e\u0e32\u0e30\u0e2d\u0e35\u0e01\u0e14\u0e49\u0e27\u0e22\u00a0(\u0e40\u0e25\u0e02\u0e08\u0e33\u0e19\u0e27\u0e19\u0e40\u0e09\u0e1e\u0e32\u0e30<\/a>\u0e04\u0e37\u0e2d\u0e08\u0e33\u0e19\u0e27\u0e19\u0e40\u0e15\u0e47\u0e21\u0e1a\u0e27\u0e01\u0e17\u0e35\u0e48\u0e21\u0e35\u0e15\u0e31\u0e27\u0e2b\u0e32\u0e23\u0e17\u0e35\u0e48\u0e40\u0e1b\u0e47\u0e19\u0e1a\u0e27\u0e01\u0e41\u0e04\u0e48 1 \u0e41\u0e25\u0e30\u0e15\u0e31\u0e27\u0e21\u0e31\u0e19\u0e40\u0e2d\u0e07)<\/p>\n

\"\u0e20\u0e32\u0e1e\u0e01\u0e32\u0e23\u0e4c\u0e15\u0e39\u0e19\u0e08\u0e32\u0e01<\/a>
\u0e20\u0e32\u0e1e\u0e01\u0e32\u0e23\u0e4c\u0e15\u0e39\u0e19\u0e08\u0e32\u0e01 https:\/\/www.reddit.com\/r\/math\/comments\/7qpfls\/does_there_exist_a_prime_number_whose\/ \u0e04\u0e23\u0e31\u0e1a<\/figcaption><\/figure>\n

 <\/p>\n

\u0e43\u0e15\u0e49\u0e01\u0e32\u0e23\u0e4c\u0e15\u0e39\u0e19\u0e21\u0e35\u0e04\u0e19\u0e17\u0e33\u0e23\u0e39\u0e1b\u0e22\u0e35\u0e23\u0e32\u0e1f\u0e17\u0e35\u0e48\u0e27\u0e32\u0e14\u0e14\u0e49\u0e27\u0e22 0 \u00a0\u0e41\u0e25\u0e30 \u00a01 \u0e40\u0e23\u0e35\u0e22\u0e07\u0e01\u0e31\u0e19 4096 \u0e15\u0e31\u0e27 \u0e0b\u0e36\u0e48\u0e07\u0e16\u0e49\u0e32\u0e21\u0e2d\u0e07\u0e40\u0e1b\u0e47\u0e19\u0e40\u0e25\u0e02\u0e10\u0e32\u0e19\u0e2a\u0e2d\u0e07\u0e08\u0e30\u0e40\u0e1b\u0e47\u0e19\u0e08\u0e33\u0e19\u0e27\u0e19\u0e40\u0e09\u0e1e\u0e32\u0e30\u0e14\u0e49\u0e27\u0e22\u0e04\u0e23\u0e31\u0e1a:<\/p>\n

\"\u0e20\u0e32\u0e1e\u0e22\u0e35\u0e23\u0e32\u0e1f\u0e27\u0e32\u0e14\u0e14\u0e49\u0e27\u0e22<\/a>
\u0e20\u0e32\u0e1e\u0e22\u0e35\u0e23\u0e32\u0e1f\u0e27\u0e32\u0e14\u0e14\u0e49\u0e27\u0e22 0 \u0e41\u0e25\u0e30 1<\/figcaption><\/figure>\n

\u0e16\u0e49\u0e32\u0e40\u0e23\u0e32\u0e2a\u0e31\u0e07\u0e40\u0e01\u0e15\u0e17\u0e35\u0e48\u0e14\u0e49\u0e32\u0e19\u0e25\u0e48\u0e32\u0e07\u0e02\u0e2d\u0e07\u0e20\u0e32\u0e1e\u0e22\u0e35\u0e23\u0e32\u0e1f\u0e08\u0e30\u0e40\u0e2b\u0e47\u0e19\u0e27\u0e48\u0e32\u0e21\u0e31\u0e19\u0e44\u0e21\u0e48\u0e40\u0e1b\u0e47\u0e19 0 \u0e17\u0e31\u0e49\u0e07\u0e2b\u0e21\u0e14 \u0e17\u0e33\u0e43\u0e2b\u0e49\u0e19\u0e48\u0e32\u0e2a\u0e07\u0e2a\u0e31\u0e22\u0e27\u0e48\u0e32\u0e04\u0e19\u0e2a\u0e23\u0e49\u0e32\u0e07\u0e20\u0e32\u0e1e\u0e40\u0e1b\u0e25\u0e35\u0e48\u0e22\u0e19\u0e04\u0e48\u0e32 0 \u0e1a\u0e32\u0e07\u0e15\u0e31\u0e27\u0e40\u0e1b\u0e47\u0e19 1 \u0e08\u0e19\u0e01\u0e23\u0e30\u0e17\u0e31\u0e48\u0e07\u0e17\u0e31\u0e49\u0e07\u0e20\u0e32\u0e1e\u0e01\u0e25\u0e32\u0e22\u0e40\u0e1b\u0e47\u0e19\u0e08\u0e33\u0e19\u0e27\u0e19\u0e40\u0e09\u0e1e\u0e32\u0e30\u00a0\u0e1c\u0e21\u0e01\u0e47\u0e40\u0e25\u0e22\u0e04\u0e34\u0e14\u0e2a\u0e07\u0e2a\u0e31\u0e22\u0e27\u0e48\u0e32\u0e40\u0e23\u0e32\u0e2a\u0e32\u0e21\u0e32\u0e23\u0e16\u0e2a\u0e23\u0e49\u0e32\u0e07\u0e23\u0e39\u0e1b\u0e02\u0e32\u0e27\u0e14\u0e33\u0e2d\u0e30\u0e44\u0e23\u0e01\u0e47\u0e44\u0e14\u0e49\u0e43\u0e2b\u0e49\u0e40\u0e1b\u0e47\u0e19\u0e08\u0e33\u0e19\u0e27\u0e19\u0e40\u0e09\u0e1e\u0e32\u0e30\u0e41\u0e1a\u0e1a\u0e19\u0e35\u0e49\u0e44\u0e14\u0e49\u0e44\u0e2b\u0e21\u00a0<\/p>\n

\u0e01\u0e48\u0e2d\u0e19\u0e2d\u0e37\u0e48\u0e19\u0e40\u0e23\u0e32\u0e15\u0e49\u0e2d\u0e07\u0e2b\u0e32\u0e15\u0e23\u0e27\u0e08\u0e2a\u0e2d\u0e1a\u0e27\u0e48\u0e32\u0e40\u0e25\u0e02\u0e10\u0e32\u0e19\u0e2a\u0e2d\u0e07\u0e22\u0e32\u0e27\u0e46\u0e40\u0e1b\u0e47\u0e19\u0e08\u0e33\u0e19\u0e27\u0e19\u0e40\u0e09\u0e1e\u0e32\u0e30\u0e2b\u0e23\u0e37\u0e2d\u0e44\u0e21\u0e48\u0e01\u0e48\u0e2d\u0e19 \u0e16\u0e49\u0e32\u0e40\u0e23\u0e32\u0e43\u0e0a\u0e49\u0e20\u0e32\u0e29\u0e32\u0e44\u0e1e\u0e18\u0e2d\u0e19 \u0e41\u0e25\u0e49\u0e27\u0e40\u0e23\u0e32\u0e21\u0e35\u0e2a\u0e15\u0e23\u0e34\u0e07\u0e0a\u0e37\u0e48\u0e2d x \u0e17\u0e35\u0e48\u0e21\u0e35\u0e40\u0e25\u0e02 0\/1 \u0e40\u0e23\u0e35\u0e22\u0e07\u0e01\u0e31\u0e19\u0e40\u0e1b\u0e47\u0e19\u0e40\u0e25\u0e02\u0e10\u0e32\u0e19\u0e2a\u0e2d\u0e07\u0e40\u0e23\u0e32\u0e43\u0e0a\u0e49\u0e04\u0e33\u0e2a\u0e31\u0e48\u0e07 int(x,2) \u0e40\u0e1b\u0e25\u0e35\u0e48\u0e22\u0e19\u0e40\u0e1b\u0e47\u0e19\u0e04\u0e48\u0e32\u0e15\u0e31\u0e27\u0e40\u0e25\u0e02\u0e44\u0e14\u0e49 \u0e41\u0e25\u0e49\u0e27\u0e43\u0e0a\u0e49\u0e04\u0e33\u0e2a\u0e31\u0e48\u0e07 gmpy2.is_prime(num) \u0e21\u0e32\u0e15\u0e23\u0e27\u0e08\u0e27\u0e48\u0e32\u0e40\u0e1b\u0e47\u0e19\u0e08\u0e33\u0e19\u0e27\u0e19\u0e40\u0e09\u0e1e\u0e32\u0e30\u0e2b\u0e23\u0e37\u0e2d\u0e40\u0e1b\u0e25\u0e48\u0e32\u00a0<\/p>\n

\n\n
x =<\/span> "0100011"<\/span>
\nnum =<\/span> int<\/span>(<\/span>x,<\/span>2<\/span>)<\/span> #num = 35<\/span>
\ngmpy2.is_prime<\/span>(<\/span>num)<\/span> #False \u0e40\u0e1e\u0e23\u0e32\u0e30 35 = 1x5x7<\/span>
\n
\ny =<\/span> '0100101'<\/span>
\nnum =<\/span> int<\/span>(<\/span>x,<\/span>2<\/span>)<\/span> #num = 37<\/span>
\ngmpy2.is_prime<\/span>(<\/span>num)<\/span> #True \u0e40\u0e1e\u0e23\u0e32\u0e30 37 = 1x37<\/span><\/div><\/div>\n\n<\/pre>\n
\u0e40\u0e27\u0e25\u0e32\u0e15\u0e31\u0e27\u0e40\u0e25\u0e02\u0e02\u0e2d\u0e07\u0e40\u0e23\u0e32\u0e21\u0e35\u0e02\u0e19\u0e32\u0e14\u0e44\u0e21\u0e48\u0e43\u0e2b\u0e0d\u0e48\u0e19\u0e31\u0e01 \u0e21\u0e35\u0e44\u0e21\u0e48\u0e01\u0e35\u0e48\u0e2b\u0e25\u0e31\u0e01 \u0e40\u0e23\u0e32\u0e2a\u0e32\u0e21\u0e32\u0e23\u0e16\u0e17\u0e14\u0e25\u0e2d\u0e07\u0e2b\u0e32\u0e15\u0e31\u0e27\u0e2b\u0e32\u0e23\u0e44\u0e1b\u0e40\u0e23\u0e37\u0e48\u0e2d\u0e22\u0e46\u0e44\u0e14\u0e49 \u0e41\u0e15\u0e48\u0e16\u0e49\u0e32\u0e15\u0e31\u0e27\u0e40\u0e25\u0e02\u0e43\u0e2b\u0e0d\u0e48\u0e21\u0e35\u0e40\u0e1b\u0e47\u0e19\u0e23\u0e49\u0e2d\u0e22\u0e40\u0e1b\u0e47\u0e19\u0e1e\u0e31\u0e19\u0e2b\u0e25\u0e31\u0e01 \u0e40\u0e23\u0e32\u0e08\u0e30\u0e25\u0e2d\u0e07\u0e2d\u0e22\u0e48\u0e32\u0e07\u0e19\u0e31\u0e49\u0e19\u0e44\u0e21\u0e48\u0e44\u0e14\u0e49\u0e40\u0e1e\u0e23\u0e32\u0e30\u0e08\u0e30\u0e43\u0e0a\u0e49\u0e40\u0e27\u0e25\u0e32\u0e21\u0e32\u0e01\u0e40\u0e01\u0e34\u0e19\u0e44\u0e1b \u0e04\u0e27\u0e32\u0e21\u0e27\u0e34\u0e40\u0e28\u0e29\u0e02\u0e2d\u0e07 gmpy2.is_prime( ) \u0e01\u0e47\u0e04\u0e37\u0e2d\u0e21\u0e31\u0e19\u0e43\u0e0a\u0e49\u0e40\u0e17\u0e04\u0e19\u0e34\u0e04 Miller-Rabin<\/a> \u0e17\u0e35\u0e48\u0e2a\u0e32\u0e21\u0e32\u0e23\u0e16\u0e15\u0e23\u0e27\u0e08\u0e2a\u0e2d\u0e1a\u0e40\u0e25\u0e02\u0e17\u0e35\u0e48\u0e21\u0e35\u0e2b\u0e25\u0e32\u0e22\u0e46\u0e1e\u0e31\u0e19\u0e2b\u0e25\u0e31\u0e01\u0e44\u0e14\u0e49\u0e14\u0e49\u0e27\u0e22\u0e27\u0e34\u0e18\u0e35\u0e2a\u0e38\u0e48\u0e21 \u0e42\u0e14\u0e22\u0e17\u0e35\u0e48\u0e40\u0e23\u0e32\u0e40\u0e25\u0e37\u0e2d\u0e01\u0e25\u0e14\u0e04\u0e27\u0e32\u0e21\u0e19\u0e48\u0e32\u0e08\u0e30\u0e40\u0e1b\u0e47\u0e19\u0e17\u0e35\u0e48\u0e21\u0e31\u0e19\u0e08\u0e30\u0e15\u0e2d\u0e1a\u0e1c\u0e34\u0e14\u0e27\u0e48\u0e32\u0e15\u0e31\u0e27\u0e40\u0e25\u0e02\u0e40\u0e1b\u0e47\u0e19\u0e08\u0e33\u0e19\u0e27\u0e19\u0e40\u0e09\u0e1e\u0e32\u0e30\u0e17\u0e31\u0e49\u0e07\u0e46\u0e17\u0e35\u0e48\u0e44\u0e21\u0e48\u0e43\u0e0a\u0e48\u0e43\u0e2b\u0e49\u0e21\u0e35\u0e04\u0e48\u0e32\u0e19\u0e49\u0e2d\u0e22\u0e46\u0e43\u0e01\u0e25\u0e49\u0e28\u0e39\u0e19\u0e22\u0e4c\u0e44\u0e14\u0e49\u0e15\u0e32\u0e21\u0e43\u0e08\u00a0<\/p>\n
\u0e1e\u0e2d\u0e40\u0e23\u0e32\u0e23\u0e39\u0e49\u0e27\u0e34\u0e18\u0e35\u0e15\u0e23\u0e27\u0e08\u0e2a\u0e2d\u0e1a\u0e08\u0e33\u0e19\u0e27\u0e19\u0e40\u0e09\u0e1e\u0e32\u0e30\u0e02\u0e19\u0e32\u0e14\u0e43\u0e2b\u0e0d\u0e48\u0e46\u0e44\u0e14\u0e49\u0e41\u0e25\u0e49\u0e27 \u0e40\u0e23\u0e32\u0e01\u0e47\u0e41\u0e04\u0e48\u0e40\u0e02\u0e35\u0e22\u0e19\u0e42\u0e1b\u0e23\u0e41\u0e01\u0e23\u0e21\u0e43\u0e2b\u0e49\u0e2d\u0e48\u0e32\u0e19\u0e20\u0e32\u0e1e\u0e40\u0e02\u0e49\u0e32\u0e21\u0e32\u0e41\u0e25\u0e49\u0e27\u0e41\u0e1b\u0e25\u0e07\u0e40\u0e1b\u0e47\u0e19\u0e20\u0e32\u0e1e\u0e02\u0e32\u0e27\u0e14\u0e33 \u0e40\u0e1b\u0e25\u0e35\u0e48\u0e22\u0e19\u0e2a\u0e35\u0e14\u0e33\u0e40\u0e1b\u0e47\u0e19 0 \u0e40\u0e1b\u0e25\u0e35\u0e48\u0e22\u0e19\u0e2a\u0e35\u0e02\u0e32\u0e27\u0e40\u0e1b\u0e47\u0e19 1\u00a0<\/p>\n
\u0e42\u0e04\u0e49\u0e14\u0e2a\u0e48\u0e27\u0e19\u0e19\u0e35\u0e49\u0e2d\u0e48\u0e32\u0e19\u0e20\u0e32\u0e1e\u0e40\u0e02\u0e49\u0e32\u0e21\u0e32\u0e41\u0e25\u0e49\u0e27\u0e17\u0e33\u0e43\u0e2b\u0e49\u0e02\u0e19\u0e32\u0e14\u0e44\u0e21\u0e48\u0e43\u0e2b\u0e0d\u0e48\u0e40\u0e01\u0e34\u0e19\u0e44\u0e1b:<\/p>\n
\n\n
def<\/span> scale_image(<\/span>file<\/span>,<\/span> size =<\/span> 64<\/span>)<\/span>:
\n    """
\n    Read an image file, change it to grayscale (0-255), 
\n    and scale it so that its dimension is at most size x size,
\n    keeping the image's aspect ratio.
\n    """<\/span>
\n    im =<\/span> PIL.Image<\/span>.open<\/span>(<\/span>file<\/span>)<\/span>
\n    im =<\/span> im.convert<\/span>(<\/span>'L'<\/span>)<\/span> #change image to grayscale (0 to 255)<\/span>
\n    
\n    width,<\/span> height =<\/span> im.size<\/span>
\n    if<\/span> width ><\/span> height:
\n        max_size =<\/span> width
\n    else<\/span>:
\n        max_size =<\/span> height
\n        
\n    scale_factor =<\/span> size\/max_size
\n    new_width =<\/span> int<\/span>(<\/span>scale_factor*width)<\/span>
\n    new_height =<\/span> int<\/span>(<\/span>scale_factor*height)<\/span>
\n    im =<\/span> im.resize<\/span>(<\/span>(<\/span>new_width,<\/span> new_height)<\/span>)<\/span>
\n    
\n    return<\/span> im<\/div><\/div>\n\n<\/pre>\n
\u0e2a\u0e48\u0e27\u0e19\u0e19\u0e35\u0e49\u0e40\u0e1b\u0e25\u0e35\u0e48\u0e22\u0e19\u0e20\u0e32\u0e1e\u0e43\u0e2b\u0e49\u0e40\u0e1b\u0e47\u0e19\u0e2a\u0e15\u0e23\u0e34\u0e07 0\/1<\/p>\n
\n\n
def<\/span> image_to_binary(<\/span>image)<\/span>:
\n    """
\n    Convert a grayscale (0-255) image to its binary string representation.
\n    Change the last pixel to 1 to make it a prime number more easily.
\n    """<\/span>
\n    width,<\/span> height =<\/span> image.size<\/span>
\n    
\n    pixels =<\/span> np.asarray<\/span>(<\/span>image)<\/span> #store pixel value in numpy array<\/span>
\n    binary_pixels =<\/span> (<\/span>pixels ><\/span> 128<\/span>)<\/span>.astype<\/span>(<\/span>np.int<\/span>)<\/span> #low values go to 0, high values go to 1<\/span>
\n    binary_pixels[<\/span>(<\/span>-1<\/span>,<\/span>-1<\/span>)<\/span>]<\/span> =<\/span> 1<\/span> #make sure last pixel is 1 to make it a prime more easily<\/span>
\n    binary_string =<\/span> ""<\/span>.join<\/span>(<\/span>binary_pixels.flatten<\/span>(<\/span>)<\/span>.astype<\/span>(<\/span>np.str<\/span>)<\/span>.tolist<\/span>(<\/span>)<\/span>)<\/span>
\n    
\n    return<\/span> width,<\/span> height,<\/span> binary_string #return width and height along with 1-dimension binary representation<\/span><\/div><\/div>\n\n<\/pre>\n
\u0e41\u0e25\u0e49\u0e27\u0e40\u0e23\u0e32\u0e01\u0e47\u0e15\u0e23\u0e27\u0e08\u0e2a\u0e2d\u0e1a\u0e27\u0e48\u0e32\u0e2a\u0e15\u0e23\u0e34\u0e07 0\/1 \u0e40\u0e1b\u0e47\u0e19\u0e08\u0e33\u0e19\u0e27\u0e19\u0e40\u0e09\u0e1e\u0e32\u0e30\u0e14\u0e49\u0e27\u0e22\u0e1f\u0e31\u0e07\u0e01\u0e4c\u0e0a\u0e31\u0e48\u0e19\u0e19\u0e35\u0e49:<\/p>\n
\n\n
def<\/span> is_binary_string_prime(<\/span>x,<\/span> n_tests =<\/span> 50<\/span>)<\/span>:
\n    """
\n    Check if the binary string x is prime using gmpy2's Miller-Rabin
\n    algorithm with n_tests steps.
\n    """<\/span>
\n    num =<\/span> int<\/span>(<\/span>x,<\/span>2<\/span>)<\/span> #convert binary string to decimal number<\/span>
\n    return<\/span> gmpy2.is_prime<\/span>(<\/span>num,<\/span> n_tests)<\/span><\/div><\/div>\n\n<\/pre>\n
\u0e16\u0e49\u0e32\u0e20\u0e32\u0e1e\u0e22\u0e31\u0e07\u0e44\u0e21\u0e48\u0e40\u0e1b\u0e47\u0e19\u0e08\u0e33\u0e19\u0e27\u0e19\u0e40\u0e09\u0e1e\u0e32\u0e30 \u0e40\u0e23\u0e32\u0e01\u0e47\u0e2a\u0e38\u0e48\u0e21\u0e08\u0e38\u0e14\u0e21\u0e32\u0e2b\u0e19\u0e36\u0e48\u0e07\u0e08\u0e38\u0e14 \u0e41\u0e25\u0e49\u0e27\u0e40\u0e1b\u0e25\u0e35\u0e48\u0e22\u0e19\u0e40\u0e25\u0e02\u0e15\u0e23\u0e07\u0e19\u0e31\u0e49\u0e19 \u0e16\u0e49\u0e32\u0e40\u0e04\u0e22\u0e40\u0e1b\u0e47\u0e19 0 \u0e01\u0e47\u0e40\u0e1b\u0e25\u0e35\u0e48\u0e22\u0e19\u0e40\u0e1b\u0e47\u0e19 1 \u0e16\u0e49\u0e32\u0e40\u0e04\u0e22\u0e40\u0e1b\u0e47\u0e19 1 \u0e01\u0e47\u0e40\u0e1b\u0e25\u0e35\u0e48\u0e22\u0e19\u0e40\u0e1b\u0e47\u0e19 0 \u0e41\u0e25\u0e49\u0e27\u0e04\u0e48\u0e2d\u0e22\u0e40\u0e2d\u0e32\u0e44\u0e1b\u0e15\u0e23\u0e27\u0e08\u0e43\u0e2b\u0e21\u0e48\u0e27\u0e48\u0e32\u0e40\u0e1b\u0e47\u0e19\u0e08\u0e33\u0e19\u0e27\u0e19\u0e40\u0e09\u0e1e\u0e32\u0e30\u0e44\u0e2b\u0e21 \u0e16\u0e49\u0e32\u0e01\u0e25\u0e32\u0e22\u0e40\u0e1b\u0e47\u0e19\u0e08\u0e33\u0e19\u0e27\u0e19\u0e40\u0e09\u0e1e\u0e32\u0e30\u0e20\u0e32\u0e1e\u0e17\u0e35\u0e48\u0e44\u0e14\u0e49\u0e01\u0e47\u0e15\u0e48\u0e32\u0e07\u0e08\u0e32\u0e01\u0e20\u0e32\u0e1e\u0e40\u0e23\u0e34\u0e48\u0e21\u0e15\u0e49\u0e19\u0e40\u0e1e\u0e35\u0e22\u0e07 1 \u0e08\u0e38\u0e14\u0e40\u0e17\u0e48\u0e32\u0e19\u0e31\u0e49\u0e19 \u0e1f\u0e31\u0e07\u0e01\u0e4c\u0e0a\u0e31\u0e48\u0e19\u0e17\u0e35\u0e48\u0e43\u0e0a\u0e49\u0e40\u0e1b\u0e25\u0e35\u0e48\u0e22\u0e19\u0e40\u0e25\u0e02\u0e01\u0e47\u0e21\u0e35\u0e2b\u0e19\u0e49\u0e32\u0e15\u0e32\u0e41\u0e1a\u0e1a\u0e19\u0e35\u0e49:<\/p>\n
\n\n
def<\/span> mutate(<\/span>x)<\/span>:
\n    """
\n    Given a binary string x, flip one random bit and return the result.
\n    """<\/span>
\n    i =<\/span> random<\/span>.randint<\/span>(<\/span>0<\/span>,<\/span> len<\/span>(<\/span>x)<\/span>-1<\/span>)<\/span> #location to flip a bit<\/span>
\n
\n    if<\/span> x[<\/span>i]<\/span> ==<\/span> '0'<\/span>:
\n        flip =<\/span> '1'<\/span>
\n    else<\/span>:
\n        flip =<\/span> '0'<\/span>
\n        
\n    result =<\/span> x[<\/span>:i]<\/span> + flip + x[<\/span>i+1<\/span>:]<\/span> #copy x to result, except one flipped bit<\/span>
\n    
\n    return<\/span> result<\/div><\/div>\n\n<\/pre>\n
\u0e1b\u0e31\u0e0d\u0e2b\u0e32\u0e15\u0e48\u0e2d\u0e44\u0e1b\u0e01\u0e47\u0e04\u0e37\u0e2d\u0e16\u0e49\u0e32\u0e20\u0e32\u0e1e\u0e22\u0e31\u0e07\u0e44\u0e21\u0e48\u0e40\u0e1b\u0e47\u0e19\u0e08\u0e33\u0e19\u0e27\u0e19\u0e40\u0e09\u0e1e\u0e32\u0e30 \u0e40\u0e23\u0e32\u0e08\u0e30\u0e17\u0e33\u0e01\u0e32\u0e23\u0e40\u0e1b\u0e25\u0e35\u0e48\u0e22\u0e19\u0e08\u0e38\u0e14 1 \u0e08\u0e38\u0e14\u0e01\u0e35\u0e48\u0e04\u0e23\u0e31\u0e49\u0e07\u0e14\u0e35 \u0e40\u0e23\u0e32\u0e2d\u0e32\u0e28\u0e31\u0e22\u0e04\u0e27\u0e32\u0e21\u0e08\u0e23\u0e34\u0e07\u0e17\u0e35\u0e48\u0e27\u0e48\u0e32\u0e08\u0e33\u0e19\u0e27\u0e19\u0e40\u0e09\u0e1e\u0e32\u0e30\u0e17\u0e35\u0e48\u0e19\u0e49\u0e2d\u0e22\u0e01\u0e27\u0e48\u0e32 N \u0e08\u0e30\u0e21\u0e35\u0e1b\u0e23\u0e30\u0e21\u0e32\u0e13 N\/Log(N) \u0e15\u0e31\u0e27 \u0e14\u0e31\u0e07\u0e19\u0e31\u0e49\u0e19\u0e04\u0e27\u0e32\u0e21\u0e19\u0e48\u0e32\u0e08\u0e30\u0e40\u0e1b\u0e47\u0e19\u0e17\u0e35\u0e48\u0e40\u0e23\u0e32\u0e2a\u0e38\u0e48\u0e21\u0e40\u0e25\u0e37\u0e2d\u0e01\u0e40\u0e25\u0e02\u0e17\u0e35\u0e48\u0e2d\u0e22\u0e39\u0e48\u0e23\u0e30\u0e2b\u0e27\u0e48\u0e32\u0e07 1 \u0e16\u0e36\u0e07 N \u0e21\u0e32\u0e41\u0e25\u0e49\u0e27\u0e21\u0e31\u0e19\u0e40\u0e1b\u0e47\u0e19\u0e08\u0e33\u0e19\u0e27\u0e19\u0e40\u0e09\u0e1e\u0e32\u0e30\u0e01\u0e47\u0e08\u0e30\u0e1b\u0e23\u0e30\u0e21\u0e32\u0e13 1\/Log(N)<\/p>\n
\"\u0e40\u0e1b\u0e23\u0e35\u0e22\u0e1a\u0e40\u0e17\u0e35\u0e22\u0e1a\u0e08\u0e33\u0e19\u0e27\u0e19\u0e02\u0e2d\u0e07\u0e08\u0e33\u0e19\u0e27\u0e19\u0e40\u0e09\u0e1e\u0e32\u0e30\u0e17\u0e35\u0e48\u0e44\u0e21\u0e48\u0e40\u0e01\u0e34\u0e19<\/a>
\u0e40\u0e1b\u0e23\u0e35\u0e22\u0e1a\u0e40\u0e17\u0e35\u0e22\u0e1a\u0e08\u0e33\u0e19\u0e27\u0e19\u0e02\u0e2d\u0e07\u0e08\u0e33\u0e19\u0e27\u0e19\u0e40\u0e09\u0e1e\u0e32\u0e30\u0e17\u0e35\u0e48\u0e44\u0e21\u0e48\u0e40\u0e01\u0e34\u0e19 N \u0e41\u0e25\u0e30 N\/Log(N)<\/figcaption><\/figure>\n
\u0e16\u0e49\u0e32\u0e20\u0e32\u0e1e\u0e02\u0e2d\u0e07\u0e40\u0e23\u0e32\u0e21\u0e35\u0e08\u0e38\u0e14 0\/1 \u0e17\u0e31\u0e49\u0e07\u0e2b\u0e21\u0e14 K \u0e08\u0e38\u0e14 \u0e04\u0e27\u0e32\u0e21\u0e19\u0e48\u0e32\u0e08\u0e30\u0e40\u0e1b\u0e47\u0e19\u0e17\u0e35\u0e48\u0e21\u0e31\u0e19\u0e40\u0e1b\u0e47\u0e19\u0e08\u0e33\u0e19\u0e27\u0e19\u0e40\u0e09\u0e1e\u0e32\u0e30\u0e01\u0e47\u0e08\u0e30\u0e1b\u0e23\u0e30\u0e21\u0e32\u0e13 1\/Log(2K<\/sup>) = 1\/(K Log(2)) = 1.44\/K \u00a0\u0e40\u0e0a\u0e48\u0e19\u0e16\u0e49\u0e32\u0e20\u0e32\u0e1e\u0e21\u0e35\u0e02\u0e19\u0e32\u0e14 64×64 \u0e41\u0e2a\u0e14\u0e07\u0e27\u0e48\u0e32 K = 64×64 = 4096 \u0e41\u0e25\u0e30\u0e04\u0e27\u0e32\u0e21\u0e19\u0e48\u0e32\u0e08\u0e30\u0e40\u0e1b\u0e47\u0e19\u0e17\u0e35\u0e48\u0e20\u0e32\u0e1e\u0e08\u0e30\u0e40\u0e1b\u0e47\u0e19\u0e08\u0e33\u0e19\u0e27\u0e19\u0e40\u0e09\u0e1e\u0e32\u0e30\u0e01\u0e47\u0e1b\u0e23\u0e30\u0e21\u0e32\u0e13 1.44\/4096 \u0e40\u0e17\u0e48\u0e32\u0e01\u0e31\u0e1a\u0e1b\u0e23\u0e30\u0e21\u0e32\u0e13 1\/2800 \u0e41\u0e1b\u0e25\u0e27\u0e48\u0e32\u0e16\u0e49\u0e32\u0e40\u0e23\u0e32\u0e40\u0e25\u0e37\u0e2d\u0e01\u0e40\u0e25\u0e02\u0e2a\u0e38\u0e48\u0e21\u0e46\u0e21\u0e32\u0e2a\u0e31\u0e01\u0e2a\u0e2d\u0e07\u0e2a\u0e32\u0e21\u0e40\u0e17\u0e48\u0e32\u0e02\u0e2d\u0e07 2800 \u0e04\u0e23\u0e31\u0e49\u0e07 \u0e40\u0e23\u0e32\u0e19\u0e48\u0e32\u0e08\u0e30\u0e44\u0e14\u0e49\u0e40\u0e25\u0e02\u0e08\u0e33\u0e19\u0e27\u0e19\u0e40\u0e09\u0e1e\u0e32\u0e30\u0e21\u0e32\u0e2a\u0e2d\u0e07\u0e2a\u0e32\u0e21\u0e15\u0e31\u0e27\u0e16\u0e49\u0e32\u0e40\u0e23\u0e32\u0e44\u0e21\u0e48\u0e42\u0e0a\u0e04\u0e23\u0e49\u0e32\u0e22\u0e40\u0e01\u0e34\u0e19\u0e44\u0e1b<\/p>\n
\u0e08\u0e32\u0e01\u0e19\u0e31\u0e49\u0e19\u0e40\u0e23\u0e32\u0e01\u0e47\u0e41\u0e04\u0e48\u0e25\u0e2d\u0e07\u0e40\u0e1b\u0e25\u0e35\u0e48\u0e22\u0e19\u0e40\u0e1e\u0e35\u0e22\u0e07 1 \u0e08\u0e38\u0e14\u0e43\u0e19\u0e20\u0e32\u0e1e\u0e44\u0e1b\u0e40\u0e23\u0e37\u0e48\u0e2d\u0e22\u0e46\u0e08\u0e19\u0e20\u0e32\u0e1e\u0e01\u0e25\u0e32\u0e22\u0e40\u0e1b\u0e47\u0e19\u0e08\u0e33\u0e19\u0e27\u0e19\u0e40\u0e09\u0e1e\u0e32\u0e30\u0e14\u0e49\u0e27\u0e22\u0e1f\u0e31\u0e07\u0e01\u0e4c\u0e0a\u0e31\u0e48\u0e19\u0e2b\u0e19\u0e49\u0e32\u0e15\u0e32\u0e41\u0e1a\u0e1a\u0e19\u0e35\u0e49\u0e04\u0e23\u0e31\u0e1a:<\/p>\n
\n\n
def<\/span> mutate_to_prime(<\/span>x,<\/span> max_tries =<\/span> 12000<\/span>)<\/span>:
\n    """
\n    Given a binary string x, flip just one bit to make it a prime number.
\n    max_tries is the maximum number of tries before giving up.
\n    If x is N bits long, probability that x is a prime is about 1\/(N log(2)),
\n    so max_tries about a few times N log(2) should be OK.
\n    
\n    The first prime found will be returned.
\n    If no prime is found, None will be returned.
\n    """<\/span>
\n
\n    if<\/span> is_binary_string_prime(<\/span>x)<\/span>:
\n        return<\/span> x  #if x is already prime, just return it.<\/span>
\n    
\n    found_prime =<\/span> False<\/span>
\n    for<\/span> k in<\/span> range<\/span>(<\/span>max_tries)<\/span>:
\n        m =<\/span> mutate(<\/span>x)<\/span> #try flipping one bit<\/span>
\n        if<\/span> is_binary_string_prime(<\/span>m)<\/span>: #if it's a prime, return it<\/span>
\n            return<\/span> m
\n    
\n    return<\/span> None<\/span><\/div><\/div>\n\n<\/pre>\n
\u0e1c\u0e21\u0e1b\u0e23\u0e30\u0e01\u0e2d\u0e1a\u0e1f\u0e31\u0e07\u0e01\u0e4c\u0e0a\u0e31\u0e48\u0e19\u0e15\u0e48\u0e32\u0e07\u0e46\u0e40\u0e1b\u0e47\u0e19\u0e42\u0e1b\u0e23\u0e41\u0e01\u0e23\u0e21\u0e41\u0e1a\u0e1a\u0e19\u0e35\u0e49\u0e04\u0e23\u0e31\u0e1a \u0e42\u0e2b\u0e25\u0e14\u0e44\u0e14\u0e49\u0e17\u0e35\u0e48\u0e19\u0e35\u0e48<\/a>:<\/p>\n
\n\n
import<\/span> PIL.Image<\/span> 
\nimport<\/span> gmpy2 
\nimport<\/span> random<\/span>
\nimport<\/span> numpy as<\/span> np
\nimport<\/span> math<\/span>
\n
\ndef<\/span> scale_image(<\/span>file<\/span>,<\/span> size =<\/span> 64<\/span>)<\/span>:
\n    """
\n    Read an image file, change it to grayscale (0-255), 
\n    and scale it so that its dimension is at most size x size,
\n    keeping the image's aspect ratio.
\n    """<\/span>
\n    im =<\/span> PIL.Image<\/span>.open<\/span>(<\/span>file<\/span>)<\/span>
\n    im =<\/span> im.convert<\/span>(<\/span>'L'<\/span>)<\/span> #change image to grayscale (0 to 255)<\/span>
\n    
\n    width,<\/span> height =<\/span> im.size<\/span>
\n    if<\/span> width &gt;<\/span> height:
\n        max_size =<\/span> width
\n    else<\/span>:
\n        max_size =<\/span> height
\n        
\n    scale_factor =<\/span> size\/max_size
\n    new_width =<\/span> int<\/span>(<\/span>scale_factor*width)<\/span>
\n    new_height =<\/span> int<\/span>(<\/span>scale_factor*height)<\/span>
\n    im =<\/span> im.resize<\/span>(<\/span>(<\/span>new_width,<\/span> new_height)<\/span>)<\/span>
\n    
\n    return<\/span> im
\n
\ndef<\/span> image_to_binary(<\/span>image)<\/span>:
\n    """
\n    Convert a grayscale (0-255) image to its binary string representation.
\n    Change the last pixel to 1 to make it a prime number more easily.
\n    """<\/span>
\n    width,<\/span> height =<\/span> image.size<\/span>
\n    
\n    pixels =<\/span> np.asarray<\/span>(<\/span>image)<\/span> #store pixel value in numpy array<\/span>
\n    binary_pixels =<\/span> (<\/span>pixels ><\/span> 128<\/span>)<\/span>.astype<\/span>(<\/span>np.int<\/span>)<\/span> #low values go to 0, high values go to 1<\/span>
\n    binary_pixels[<\/span>(<\/span>-1<\/span>,<\/span>-1<\/span>)<\/span>]<\/span> =<\/span> 1<\/span> #make sure last pixel is 1 to make it a prime more easily<\/span>
\n    binary_string =<\/span> ""<\/span>.join<\/span>(<\/span>binary_pixels.flatten<\/span>(<\/span>)<\/span>.astype<\/span>(<\/span>np.str<\/span>)<\/span>.tolist<\/span>(<\/span>)<\/span>)<\/span>
\n    
\n    return<\/span> width,<\/span> height,<\/span> binary_string #return width and height along with 1-dimension binary representation <\/span>
\n
\ndef<\/span> mutate(<\/span>x)<\/span>:
\n    """
\n    Given a binary string x, flip one random bit and return the result.
\n    """<\/span>
\n    i =<\/span> random<\/span>.randint<\/span>(<\/span>0<\/span>,<\/span> len<\/span>(<\/span>x)<\/span>-1<\/span>)<\/span> #location to flip a bit<\/span>
\n
\n    if<\/span> x[<\/span>i]<\/span> ==<\/span> '0'<\/span>:
\n        flip =<\/span> '1'<\/span>
\n    else<\/span>:
\n        flip =<\/span> '0'<\/span>
\n        
\n    result =<\/span> x[<\/span>:i]<\/span> + flip + x[<\/span>i+1<\/span>:]<\/span> #copy x to result, except one flipped bit<\/span>
\n    
\n    return<\/span> result
\n
\ndef<\/span> is_binary_string_prime(<\/span>x,<\/span> n_tests =<\/span> 50<\/span>)<\/span>:
\n    """
\n    Check if the binary string x is prime using gmpy2's Miller-Rabin
\n    algorithm with n_tests steps.
\n    """<\/span>
\n    num =<\/span> int<\/span>(<\/span>x,<\/span>2<\/span>)<\/span> #convert binary string to decimal number<\/span>
\n    return<\/span> gmpy2.is_prime<\/span>(<\/span>num,<\/span> n_tests)<\/span>
\n
\ndef<\/span> mutate_to_prime(<\/span>x,<\/span> max_tries =<\/span> 12000<\/span>)<\/span>:
\n    """
\n    Given a binary string x, flip just one bit to make it a prime number.
\n    max_tries is the maximum number of tries before giving up.
\n    If x is N bits long, probability that x is a prime is about 1\/(N log(2)),
\n    so max_tries about a few times N log(2) should be OK.
\n    
\n    The first prime found will be returned.
\n    If no prime is found, None will be returned.
\n    """<\/span>
\n
\n    if<\/span> is_binary_string_prime(<\/span>x)<\/span>:
\n        return<\/span> x  #if x is already prime, just return it.<\/span>
\n    
\n    found_prime =<\/span> False<\/span>
\n    for<\/span> k in<\/span> range<\/span>(<\/span>max_tries)<\/span>:
\n        m =<\/span> mutate(<\/span>x)<\/span> #try flipping one bit<\/span>
\n        if<\/span> is_binary_string_prime(<\/span>m)<\/span>: #if it's a prime, return it<\/span>
\n            return<\/span> m
\n    
\n    return<\/span> None<\/span>
\n
\ndef<\/span> print_pic(<\/span>x,<\/span> width)<\/span>:
\n    """
\n    Given a binary string x, print it 
\n    so that each line contains width characters.
\n    """<\/span>
\n    height =<\/span> int<\/span>(<\/span>len<\/span>(<\/span>x)<\/span>\/width)<\/span>
\n    for<\/span> row in<\/span> range<\/span>(<\/span>height)<\/span>:
\n        print<\/span>(<\/span>x[<\/span>row*width : row*width+width]<\/span>)<\/span>
\n
\ndef<\/span> pic_to_prime(<\/span>file<\/span>,<\/span> size =<\/span> 64<\/span>,<\/span> max_tries =<\/span> 12000<\/span>)<\/span>:
\n    """
\n    Open an image file and attempt to
\n    print it as a binary string picture 
\n    that is a prime number.
\n    """<\/span>
\n    im =<\/span> scale_image(<\/span>file<\/span>,<\/span> size)<\/span>
\n    
\n    width,<\/span> height,<\/span> binary =<\/span> image_to_binary(<\/span>im)<\/span>
\n    
\n    x =<\/span> mutate_to_prime(<\/span>binary,<\/span> max_tries)<\/span>
\n    if<\/span> x:
\n        print_pic(<\/span>x,<\/span>width)<\/span>
\n        num =<\/span> int<\/span>(<\/span>x,<\/span>2<\/span>)<\/span>
\n        print<\/span>(<\/span>"\\n<\/span>The number is {} in base 10."<\/span>.format<\/span>(<\/span>num)<\/span>)<\/span>
\n        print<\/span>(<\/span>"It has {} digits"<\/span>.format<\/span>(<\/span>len<\/span>(<\/span>str<\/span>(<\/span>num)<\/span>)<\/span>)<\/span>)<\/span>
\n        print<\/span>(<\/span>"It's likely a prime with probability = {}"<\/span>.format<\/span>(<\/span>1<\/span>-math<\/span>.pow<\/span>(<\/span>0.5<\/span>,<\/span>50<\/span>)<\/span>)<\/span>)<\/span>
\n
\ndef<\/span> main(<\/span>)<\/span>:
\n    import<\/span> sys<\/span>
\n    usage =<\/span> """
\n    python pic_to_prime.py image_file [size] [max_tries]
\n    Will attempt to convert image_file into a black and white picture whose ASCII representation is
\n    (black = 0, white = 1) and the string of 0's and 1's forms a binary number which is likely prime with 
\n    an extremely high probablity.
\n
\n    size is an optional parameter.  The converted image's dimension will be at most size x size
\n    Default value for size is 64
\n
\n    max_tries is an optional parameter. It's the maximum number of tries to flip one bit in the converted image
\n    until it's a prime number.  If max_tries is reached without find a prime, the program does not return any Ascii image.
\n    Typically, setting max_tries to be a few times size x size should be sufficient.
\n    Default value for max_tries is 12,000
\n    """<\/span>
\n
\n    if<\/span> len<\/span>(<\/span>sys<\/span>.argv<\/span>)<\/span> <<\/span> 2<\/span>:
\n        print<\/span>(<\/span>usage)<\/span>
\n        exit(<\/span>1<\/span>)<\/span>
\n
\n    try<\/span>:
\n        file_name =<\/span> sys<\/span>.argv<\/span>[<\/span>1<\/span>]<\/span>
\n        print<\/span>(<\/span>"Converting {}..."<\/span>.format<\/span>(<\/span>file_name)<\/span>)<\/span>
\n        if<\/span> len<\/span>(<\/span>sys<\/span>.argv<\/span>)<\/span> ==<\/span> 2<\/span>:
\n            pic_to_prime(<\/span>file_name)<\/span> 
\n        if<\/span> len<\/span>(<\/span>sys<\/span>.argv<\/span>)<\/span> ==<\/span> 3<\/span>:
\n            size =<\/span> int<\/span>(<\/span>sys<\/span>.argv<\/span>[<\/span>2<\/span>]<\/span>)<\/span>
\n            pic_to_prime(<\/span>file_name,<\/span> size)<\/span> 
\n        if<\/span> len<\/span>(<\/span>sys<\/span>.argv<\/span>)<\/span> &gt;=<\/span> 4<\/span>:
\n            size =<\/span> int<\/span>(<\/span>sys<\/span>.argv<\/span>[<\/span>2<\/span>]<\/span>)<\/span>
\n            max_tries =<\/span> int<\/span>(<\/span>sys<\/span>.argv<\/span>[<\/span>3<\/span>]<\/span>)<\/span>
\n            pic_to_prime(<\/span>file_name,<\/span> size,<\/span> max_tries)<\/span>      
\n        
\n        
\n    except<\/span>:
\n        print<\/span>(<\/span>"An error has occured:"<\/span>,<\/span> sys<\/span>.exc_info<\/span>(<\/span>)<\/span>)<\/span>
\n    
\nif<\/span> __name__ ==<\/span> '__main__'<\/span>:
\n    main(<\/span>)<\/span><\/div><\/div>\n\n<\/pre>\n
\u0e27\u0e34\u0e18\u0e35\u0e43\u0e0a\u0e49\u0e01\u0e47\u0e40\u0e23\u0e35\u0e22\u0e01\u00a0python pic_to_prime.py filename \u0e42\u0e14\u0e22\u0e17\u0e35\u0e48 filename \u0e04\u0e37\u0e2d\u0e0a\u0e37\u0e48\u0e2d\u0e44\u0e1f\u0e25\u0e4c\u0e23\u0e39\u0e1b\u0e20\u0e32\u0e1e\u0e17\u0e35\u0e48\u0e40\u0e23\u0e32\u0e15\u0e49\u0e2d\u0e07\u0e01\u0e32\u0e23\u0e40\u0e1b\u0e25\u0e35\u0e48\u0e22\u0e19\u0e40\u0e1b\u0e47\u0e19\u0e08\u0e33\u0e19\u0e27\u0e19\u0e40\u0e09\u0e1e\u0e32\u0e30\u0e04\u0e23\u0e31\u0e1a\u00a0<\/p>\n
\u0e15\u0e31\u0e27\u0e2d\u0e22\u0e48\u0e32\u0e07\u0e20\u0e32\u0e1e\u0e17\u0e35\u0e48\u0e44\u0e14\u0e49\u0e08\u0e32\u0e01\u0e01\u0e32\u0e23\u0e40\u0e1b\u0e25\u0e35\u0e48\u0e22\u0e19\u0e20\u0e32\u0e1e Darth Vader:<\/p>\n
\"\"<\/a><\/p>\n
\u0e20\u0e32\u0e1e Darth Vader \u0e02\u0e49\u0e32\u0e07\u0e1a\u0e19\u0e04\u0e37\u0e2d\u0e40\u0e25\u0e02\u0e10\u0e32\u0e19\u0e2a\u0e34\u0e1a\u0e17\u0e35\u0e48\u0e21\u0e35 1195 \u0e2b\u0e25\u0e31\u0e01 \u0e2b\u0e19\u0e49\u0e32\u0e15\u0e32\u0e41\u0e1a\u0e1a\u0e19\u0e35\u0e49\u0e04\u0e23\u0e31\u0e1a:\u00a0<\/p>\n
3069183072727172278860337378214364811175034036025244450162785708918361127976622462244955616465542073310944718954147895761643252918537495912453992270956943332625163100410236971285347282168904965253931503727481796300351734500671920231110149740644603732320920567437139574018949692454814303373410337477406380375065946238083359795848929370044692287614885238710013203784493630576976222535714074987122348018208566276582108014408460395720661886870781674435952140263967388925330430468219482326166783846446434209037095617083753020217147213702448717413427206823791407299246422960343709648378621123745736208899112612922595944987425466506332619408247083609772049609869403316890387132071258208841211446813145804008085966690045193746244730410209439050722697005342344505437504795775660537102148374631191587907498516228228789209160814532098859180914649594125752152645342655118749520955226752989697313945409163186662411266021539069921213862430095726119501306030813846080124361789827996639620644316501126994186024697789684863191124018231390812596919287605853413555802043957703338340785628246023479885637324716903027104728159535177737667950181169447546144659362616465956401475098937299932469625956492313055325061119<\/p>\n
 <\/p>\n","protected":false},"excerpt":{"rendered":"
\u0e1c\u0e21\u0e44\u0e1b\u0e40\u0e2b\u0e47\u0e19\u0e42\u0e1e\u0e2a\u0e15\u0e4c\u0e15\u0e25\u0e01\u0e46\u0e43\u0e19 Reddit \u0e21\u0e32 \u0e01\u0e32\u0e23\u0e4c\u0e15\u0e39\u0e19\u0e1a\u0e2d\u0e01\u0e27\u0e48\u0e32\u0e2a\u0e32\u0e21\u0e32\u0e23\u0e16\u0e40\u0e2d\u0e32\u0e15\u0e31\u0e27\u0e40\u0e25\u0e02 0 \u0e41\u0e25\u0e30 1 \u0e21\u0e32\u0e40\u0e23\u0e35\u0e22\u0e07\u0e01\u0e31\u0e19\u0e1a\u0e19\u0e08\u0e2d\u0e42\u0e17\u0e23\u0e28\u0e31\u0e1e\u0e17\u0e4c\u0e43\u0e2b\u0e49\u0e40\u0e1b\u0e47\u0e19\u0e23\u0e39\u0e1b\u0e22\u0e35\u0e23\u0e32\u0e1f\u0e41\u0e25\u0e30\u0e40\u0e25\u0e02 0 \u0e41\u0e25\u0e30 1 \u0e17\u0e35\u0e48\u0e40\u0e23\u0e35\u0e22\u0e07\u0e01\u0e31\u0e19\u0e19\u0e31\u0e49\u0e19\u0e16\u0e49\u0e32\u0e15\u0e35\u0e04\u0e27\u0e32\u0e21\u0e40\u0e1b\u0e47\u0e19\u0e40\u0e40\u0e25\u0e02\u0e10\u0e32\u0e19\u0e2a\u0e2d\u0e07\u0e41\u0e25\u0e49\u0e27 \u0e21\u0e31\u0e19\u0e08\u0e30\u0e40\u0e1b\u0e47\u0e19\u0e40\u0e25\u0e02\u0e08\u0e33\u0e19\u0e27\u0e19\u0e40\u0e09\u0e1e\u0e32\u0e30\u0e2d\u0e35\u0e01\u0e14\u0e49\u0e27\u0e22\u00a0(\u0e40\u0e25\u0e02\u0e08\u0e33\u0e19\u0e27\u0e19\u0e40\u0e09\u0e1e\u0e32\u0e30\u0e04\u0e37\u0e2d\u0e08\u0e33\u0e19\u0e27\u0e19\u0e40\u0e15\u0e47\u0e21\u0e1a\u0e27\u0e01\u0e17\u0e35\u0e48\u0e21\u0e35\u0e15\u0e31\u0e27\u0e2b\u0e32\u0e23\u0e17\u0e35\u0e48\u0e40\u0e1b\u0e47\u0e19\u0e1a\u0e27\u0e01\u0e41\u0e04\u0e48 1 \u0e41\u0e25\u0e30\u0e15\u0e31\u0e27\u0e21\u0e31\u0e19\u0e40\u0e2d\u0e07)   … \u0e27\u0e32\u0e14\u0e20\u0e32\u0e1e\u0e02\u0e32\u0e27\u0e14\u0e33\u0e43\u0e2b\u0e49\u0e40\u0e1b\u0e47\u0e19\u0e08\u0e33\u0e19\u0e27\u0e19\u0e40\u0e09\u0e1e\u0e32\u0e30<\/span>Read more<\/a><\/p>\n","protected":false},"author":1,"featured_media":5188,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"jetpack_post_was_ever_published":false,"_jetpack_newsletter_access":"","_jetpack_dont_email_post_to_subs":false,"_jetpack_newsletter_tier_id":0,"_jetpack_memberships_contains_paywalled_content":false,"_jetpack_memberships_contains_paid_content":false,"footnotes":"","jetpack_publicize_message":"","jetpack_publicize_feature_enabled":true,"jetpack_social_post_already_shared":true,"jetpack_social_options":{"image_generator_settings":{"template":"highway","default_image_id":0,"font":"","enabled":false},"version":2}},"categories":[101,108,117],"tags":[],"class_list":["post-5158","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-computer","category-math-geek","category-programming"],"jetpack_publicize_connections":[],"jetpack_featured_media_url":"https:\/\/i0.wp.com\/witpoko.com\/wp-content\/uploads\/2018\/01\/pic_to_prime_collage.jpg?fit=1280%2C800&ssl=1","jetpack_sharing_enabled":true,"jetpack_shortlink":"https:\/\/wp.me\/p4UNq0-1lc","_links":{"self":[{"href":"https:\/\/witpoko.com\/index.php?rest_route=\/wp\/v2\/posts\/5158","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/witpoko.com\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/witpoko.com\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/witpoko.com\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/witpoko.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=5158"}],"version-history":[{"count":29,"href":"https:\/\/witpoko.com\/index.php?rest_route=\/wp\/v2\/posts\/5158\/revisions"}],"predecessor-version":[{"id":5193,"href":"https:\/\/witpoko.com\/index.php?rest_route=\/wp\/v2\/posts\/5158\/revisions\/5193"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/witpoko.com\/index.php?rest_route=\/wp\/v2\/media\/5188"}],"wp:attachment":[{"href":"https:\/\/witpoko.com\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=5158"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/witpoko.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=5158"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/witpoko.com\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=5158"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}