
{"id":16124,"date":"2014-11-30T11:23:29","date_gmt":"2014-11-30T11:23:29","guid":{"rendered":"http:\/\/www.beautifulwork.org\/?p=16124"},"modified":"2014-11-30T11:23:29","modified_gmt":"2014-11-30T11:23:29","slug":"how-to-write-a-program-to-solve-project-euler-problem-11","status":"publish","type":"post","link":"https:\/\/www.trueangle.org\/index.php\/2014\/11\/30\/how-to-write-a-program-to-solve-project-euler-problem-11\/","title":{"rendered":"A  program to solve project euler problem 11"},"content":{"rendered":"<p>[python]<br \/>\n# This program is copied from http:\/\/code.jasonbhill.com\/python\/project-euler-problem-11\/<br \/>\n# Largest product in a grid<br \/>\n# https:\/\/projecteuler.net\/problem=11<\/p>\n<p>import time<\/p>\n<p>start = time.time()<\/p>\n<p>L = []<br \/>\nL.append(&quot;08 02 22 97 38 15 00 40 00 75 04 05 07 78 52 12 50 77 91 08&quot;)<br \/>\nL.append(&quot;49 49 99 40 17 81 18 57 60 87 17 40 98 43 69 48 04 56 62 00&quot;)<br \/>\nL.append(&quot;81 49 31 73 55 79 14 29 93 71 40 67 53 88 30 03 49 13 36 65&quot;)<br \/>\nL.append(&quot;52 70 95 23 04 60 11 42 69 24 68 56 01 32 56 71 37 02 36 91&quot;)<br \/>\nL.append(&quot;22 31 16 71 51 67 63 89 41 92 36 54 22 40 40 28 66 33 13 80&quot;)<br \/>\nL.append(&quot;24 47 32 60 99 03 45 02 44 75 33 53 78 36 84 20 35 17 12 50&quot;)<br \/>\nL.append(&quot;32 98 81 28 64 23 67 10 26 38 40 67 59 54 70 66 18 38 64 70&quot;)<br \/>\nL.append(&quot;67 26 20 68 02 62 12 20 95 63 94 39 63 08 40 91 66 49 94 21&quot;)<br \/>\nL.append(&quot;24 55 58 05 66 73 99 26 97 17 78 78 96 83 14 88 34 89 63 72&quot;)<br \/>\nL.append(&quot;21 36 23 09 75 00 76 44 20 45 35 14 00 61 33 97 34 31 33 95&quot;)<br \/>\nL.append(&quot;78 17 53 28 22 75 31 67 15 94 03 80 04 62 16 14 09 53 56 92&quot;)<br \/>\nL.append(&quot;16 39 05 42 96 35 31 47 55 58 88 24 00 17 54 24 36 29 85 57&quot;)<br \/>\nL.append(&quot;86 56 00 48 35 71 89 07 05 44 44 37 44 60 21 58 51 54 17 58&quot;)<br \/>\nL.append(&quot;19 80 81 68 05 94 47 69 28 73 92 13 86 52 17 77 04 89 55 40&quot;)<br \/>\nL.append(&quot;04 52 08 83 97 35 99 16 07 97 57 32 16 26 26 79 33 27 98 66&quot;)<br \/>\nL.append(&quot;88 36 68 87 57 62 20 72 03 46 33 67 46 55 12 32 63 93 53 69&quot;)<br \/>\nL.append(&quot;04 42 16 73 38 25 39 11 24 94 72 18 08 46 29 32 40 62 76 36&quot;)<br \/>\nL.append(&quot;20 69 36 41 72 30 23 88 34 62 99 69 82 67 59 85 74 04 36 16&quot;)<br \/>\nL.append(&quot;20 73 35 29 78 31 90 01 74 31 49 71 48 86 81 16 23 57 05 54&quot;)<br \/>\nL.append(&quot;01 70 54 71 83 51 54 69 16 92 33 48 61 43 52 01 89 19 67 48&quot;)<\/p>\n<p>M = [i.split() for i in L]<br \/>\nM = [[int(j) for j in i] for i in M]<\/p>\n<p># there are 20 rows, each containing 20 integers<br \/>\nmax_prod = 0<\/p>\n<p>for i in range(20):<br \/>\n    for j in range(16):<br \/>\n        # right\/left products<br \/>\n        prod = M[i][j]*M[i][j+1]*M[i][j+2]*M[i][j+3]<br \/>\n        if prod &gt; max_prod: max_prod = prod<br \/>\n        # up\/down products<br \/>\n        prod = M[j][i]*M[j+1][i]*M[j+2][i]*M[j+3][i]<br \/>\n        if prod &gt; max_prod: max_prod = prod<\/p>\n<p># diagonal products<br \/>\nfor i in range(16):<br \/>\n    for j in range(16):<br \/>\n        prod = M[i][j]*M[i+1][j+1]*M[i+2][j+2]*M[i+3][j+3]<br \/>\n        if prod &gt; max_prod: max_prod = prod<br \/>\nfor i in range(3,20):<br \/>\n    for j in range(16):<br \/>\n        prod = M[i][j]*M[i-1][j+1]*M[i-2][j+2]*M[i-3][j+3]<br \/>\n        if prod &gt; max_prod: max_prod = prod<\/p>\n<p>elapsed = (time.time() &#8211; start)<\/p>\n<p>print &quot;%s found in %s seconds&quot; % (max_prod,elapsed)<br \/>\n[\/python]<\/p>\n","protected":false},"excerpt":{"rendered":"<p>[python] # This program is copied from http:\/\/code.jasonbhill.com\/python\/project-euler-problem-11\/ # Largest product in a grid # https:\/\/projecteuler.net\/problem=11 import time start = time.time() L = [] L.append(&quot;08 02 22 97 38 15 00 40 00 75 04 05 07 78 52 12 50 77 91 08&quot;) L.append(&quot;49 49 99 40 17 81 18 57 60 87 17 &hellip; <\/p>\n<p class=\"link-more\"><a href=\"https:\/\/www.trueangle.org\/index.php\/2014\/11\/30\/how-to-write-a-program-to-solve-project-euler-problem-11\/\" class=\"more-link\">Continue reading<span class=\"screen-reader-text\"> &#8220;A  program to solve project euler problem 11&#8221;<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":[],"categories":[3],"tags":[1008],"_links":{"self":[{"href":"https:\/\/www.trueangle.org\/index.php\/wp-json\/wp\/v2\/posts\/16124"}],"collection":[{"href":"https:\/\/www.trueangle.org\/index.php\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.trueangle.org\/index.php\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.trueangle.org\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.trueangle.org\/index.php\/wp-json\/wp\/v2\/comments?post=16124"}],"version-history":[{"count":0,"href":"https:\/\/www.trueangle.org\/index.php\/wp-json\/wp\/v2\/posts\/16124\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.trueangle.org\/index.php\/wp-json\/wp\/v2\/media?parent=16124"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.trueangle.org\/index.php\/wp-json\/wp\/v2\/categories?post=16124"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.trueangle.org\/index.php\/wp-json\/wp\/v2\/tags?post=16124"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}