{"id":2284,"date":"2017-07-02T18:24:59","date_gmt":"2017-07-02T15:24:59","guid":{"rendered":"http:\/\/java.mazurok.com\/?p=2284"},"modified":"2017-07-05T22:04:15","modified_gmt":"2017-07-05T19:04:15","slug":"d2574-%d1%81%d1%83%d0%bc%d0%bc%d0%b0-%d1%80%d1%8f%d0%b4%d0%b0","status":"publish","type":"post","link":"https:\/\/java.mazurok.com\/?p=2284","title":{"rendered":"D2574. \u0421\u0443\u043c\u043c\u0430 \u0440\u044f\u0434\u0430"},"content":{"rendered":"

\u0423\u0441\u043b\u043e\u0432\u0438\u0435 \u0437\u0430\u0434\u0430\u0447\u0438<\/strong><\/p>\n

\u041d\u0430\u0439\u0442\u0438 \u0441\u0443\u043c\u043c\u0443 \u0441\u0445\u043e\u0434\u044f\u0449\u0435\u0433\u043e\u0441\u044f \u0440\u044f\u0434\u0430 $latex \\sum\\limits_{i=1}^n \\frac{\\sin ix}{2^i}.$<\/p>\n

\u0422\u0435\u0441\u0442\u044b<\/strong><\/p>\n

\u0412\u0445\u043e\u0434\u043d\u044b\u0435 \u0434\u0430\u043d\u043d\u044b\u0435: $latex n$ — \u043a\u043e\u043b\u0438\u0447\u0435\u0441\u0442\u0432\u043e \u0448\u0430\u0433\u043e\u0432, $latex x$ — \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u0435 $latex x.$<\/p>\n

\u0412\u044b\u0445\u043e\u0434\u043d\u044b\u0435 \u0434\u0430\u043d\u043d\u044b\u0435: \u0441\u0443\u043c\u043c\u0430\u00a0\u0440\u044f\u0434\u0430 $latex \\sum\\limits_{i=1}^n \\frac{\\sin ix}{2^i}.$<\/p>\n\n\n\n\n\n\n\n
\u2116<\/td>\n\u0412\u0445\u043e\u0434\u043d\u044b\u0435 \u0434\u0430\u043d\u043d\u044b\u0435<\/td>\n\u0412\u044b\u0445\u043e\u0434\u043d\u044b\u0435 \u0434\u0430\u043d\u043d\u044b\u0435<\/td>\n\u0422\u0435\u0441\u0442\u044b \u043d\u0430 WolframAlpha<\/td>\n<\/tr>\n
1<\/td>\n10 0.523598<\/td>\n0.6511697<\/td>\n\u0422\u0435\u0441\u0442 1<\/a><\/td>\n<\/tr>\n
2<\/td>\n5 1.141592<\/td>\n0.5300871<\/td>\n\u0422\u0435\u0441\u0442 2<\/a><\/td>\n<\/tr>\n
3<\/td>\n15 1.570796<\/td>\n0.399994<\/td>\n\u0422\u0435\u0441\u0442 3<\/a><\/td>\n<\/tr>\n
4<\/td>\n10 -2.3<\/td>\n-0.1944212<\/td>\n\u00a0\u0422\u0435\u0441\u0442 4<\/a><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

\u041a\u043e\u0434<\/strong><\/p>\n

import java.util.Scanner;\r\n\r\npublic class Main\r\n{\r\n\tpublic static void main (String[] args)\r\n\t{\r\n\t\tint n, powOf2 = 1;\r\n\t\tdouble x, sum = 0;\r\n\t\tScanner scanner = new Scanner(System.in);\r\n\t\t\r\n\t\tn = scanner.nextInt();\r\n\t\tx = scanner.nextDouble();\r\n\t\t\r\n\t\tfor (int i = 1; i <= n; i++)\r\n\t\t{\r\n\t\t\tpowOf2 *= 2;\r\n\t\t\tsum += Math.sin(i*x)\/powOf2;\r\n\t\t}\r\n\t\t\r\n\t\tSystem.out.println(sum);\r\n\t}\r\n}<\/pre>\n
\u041a\u043e\u0434 \u0434\u043e\u0441\u0442\u0443\u043f\u0435\u043d \u043d\u0430\u00a0ideone<\/a><\/p>\n
\u041f\u043e\u044f\u0441\u043d\u0435\u043d\u0438\u0435<\/strong><\/p>\n
\u0412 \u043d\u0430\u0447\u0430\u043b\u0435 \u043f\u0440\u043e\u0433\u0440\u0430\u043c\u043c\u044b \u043e\u0431\u044a\u044f\u0432\u0438\u043c \u043f\u0435\u0440\u0435\u043c\u0435\u043d\u043d\u044b\u0435 \u0442\u0438\u043f\u0430\u00a0int<\/span>:\u00a0n<\/span> \u0434\u043b\u044f \u0445\u0440\u0430\u043d\u0435\u043d\u0438\u044f \u0448\u0430\u0433\u043e\u0432 \u0438\u00a0powOf2<\/span>, \u043f\u0440\u043e\u0438\u043d\u0438\u0446\u0438\u0430\u043b\u0438\u0437\u0438\u0440\u043e\u0432\u0430\u043d\u043d\u0443\u044e \u0447\u0438\u0441\u043b\u043e\u043c 1, \u0442\u0430\u043a \u043a\u0430\u043a \u0432 \u043d\u0435\u0439 \u0431\u0443\u0434\u0435\u0442 \u0445\u0440\u0430\u043d\u0438\u0442\u044c\u0441\u044f \u0442\u0435\u043a\u0443\u0449\u0430\u044f \u0441\u0442\u0435\u043f\u0435\u043d\u044c \u0447\u0438\u0441\u043b\u0430 2, \u043f\u043e\u043b\u0443\u0447\u0435\u043d\u043d\u0430\u044f \u043f\u0443\u0442\u0435\u043c \u043f\u043e\u0441\u043b\u0435\u0434\u043e\u0432\u0430\u0442\u0435\u043b\u044c\u043d\u043e\u0433\u043e \u0443\u043c\u043d\u043e\u0436\u0435\u043d\u0438\u044f \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u044f \u0434\u0430\u043d\u043d\u043e\u0439 \u043f\u0435\u0440\u0435\u043c\u0435\u043d\u043d\u043e\u0439 \u043d\u0430 2; \u0438 \u043f\u0435\u0440\u0435\u043c\u0435\u043d\u043d\u044b\u0435 \u0442\u0438\u043f\u0430\u00a0double<\/span>:\u00a0x<\/span> \u0434\u043b\u044f \u0445\u0440\u0430\u043d\u0435\u043d\u0438\u044f \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u044f $latex x$ \u0438\u00a0sum<\/span> \u0434\u043b\u044f \u0445\u0440\u0430\u043d\u0435\u043d\u0438\u044f \u0441\u0443\u043c\u043c\u044b, \u043f\u0440\u043e\u0438\u043d\u0438\u0446\u0438\u0430\u043b\u0438\u0437\u0438\u0440\u043e\u0432\u0430\u043d\u043d\u0443\u044e \u0447\u0438\u0441\u043b\u043e\u043c 0.\u00a0\u041f\u0440\u043e\u0438\u043d\u0438\u0446\u0438\u0430\u043b\u0438\u0437\u0438\u0440\u0443\u0435\u043c \u043f\u0435\u0440\u0435\u043c\u0435\u043d\u043d\u044b\u0435\u00a0n<\/span>\u00a0 \u0438\u00a0x<\/span>\u00a0 \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u044f\u043c\u0438 \u0438\u0437 \u0441\u0442\u0430\u043d\u0434\u0430\u0440\u0442\u043d\u043e\u0433\u043e \u043f\u043e\u0442\u043e\u043a\u0430 \u0432\u0432\u043e\u0434\u0430. \u0421\u0443\u043c\u043c\u0430 \u0432\u044b\u0447\u0438\u0441\u043b\u044f\u0435\u0442\u0441\u044f \u0432 \u0446\u0438\u043a\u043b\u0435 \u0438 \u0430\u043a\u043a\u0443\u043c\u0443\u043b\u0438\u0440\u0443\u0435\u0442\u0441\u044f \u0432 \u043f\u0435\u0440\u0435\u043c\u0435\u043d\u043d\u043e\u0439\u00a0sum<\/span> , \u0438\u0441\u043f\u043e\u043b\u044c\u0437\u0443\u044f \u0441\u0442\u0430\u043d\u0434\u0430\u0440\u0442\u043d\u0443\u044e \u0444\u0443\u043d\u043a\u0446\u0438\u044e \u0432\u044b\u0447\u0438\u0441\u043b\u0435\u043d\u0438\u044f \u0441\u0438\u043d\u0443\u0441\u0430\u00a0Math.sin()<\/span> \u0438 \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u0435 \u043f\u0435\u0440\u0435\u043c\u0435\u043d\u043d\u043e\u0439\u00a0powOf2<\/span>.\u00a0\u0420\u0435\u0437\u0443\u043b\u044c\u0442\u0430\u0442 \u0440\u0430\u0431\u043e\u0442\u044b \u043f\u0440\u043e\u0433\u0440\u0430\u043c\u043c\u044b — \u0432\u044b\u0432\u043e\u0434 \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u044f \u043f\u0435\u0440\u0435\u043c\u0435\u043d\u043d\u043e\u0439 sum<\/span>.<\/p>\n
 <\/p>\n","protected":false},"excerpt":{"rendered":"
\u0423\u0441\u043b\u043e\u0432\u0438\u0435 \u0437\u0430\u0434\u0430\u0447\u0438 \u041d\u0430\u0439\u0442\u0438 \u0441\u0443\u043c\u043c\u0443 \u0441\u0445\u043e\u0434\u044f\u0449\u0435\u0433\u043e\u0441\u044f \u0440\u044f\u0434\u0430 $latex \\sum\\limits_{i=1}^n \\frac{\\sin ix}{2^i}.$ \u0422\u0435\u0441\u0442\u044b \u0412\u0445\u043e\u0434\u043d\u044b\u0435 \u0434\u0430\u043d\u043d\u044b\u0435: $latex n$ — \u043a\u043e\u043b\u0438\u0447\u0435\u0441\u0442\u0432\u043e \u0448\u0430\u0433\u043e\u0432, $latex x$ — \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u0435 $latex x.$ \u0412\u044b\u0445\u043e\u0434\u043d\u044b\u0435 \u0434\u0430\u043d\u043d\u044b\u0435: \u0441\u0443\u043c\u043c\u0430\u00a0\u0440\u044f\u0434\u0430 $latex \\sum\\limits_{i=1}^n \\frac{\\sin ix}{2^i}.$ \u2116 \u0412\u0445\u043e\u0434\u043d\u044b\u0435 \u0434\u0430\u043d\u043d\u044b\u0435 \u0412\u044b\u0445\u043e\u0434\u043d\u044b\u0435 \u0434\u0430\u043d\u043d\u044b\u0435 \u0422\u0435\u0441\u0442\u044b \u043d\u0430 WolframAlpha 1 10 0.523598 0.6511697 \u0422\u0435\u0441\u0442 1 2 5 1.141592 0.5300871 \u0422\u0435\u0441\u0442 2 3 15 1.570796 0.399994 … Continue reading →<\/span><\/a><\/p>\n","protected":false},"author":98,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[6],"tags":[246,147,245],"jetpack_featured_media_url":"","_links":{"self":[{"href":"https:\/\/java.mazurok.com\/index.php?rest_route=\/wp\/v2\/posts\/2284"}],"collection":[{"href":"https:\/\/java.mazurok.com\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/java.mazurok.com\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/java.mazurok.com\/index.php?rest_route=\/wp\/v2\/users\/98"}],"replies":[{"embeddable":true,"href":"https:\/\/java.mazurok.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=2284"}],"version-history":[{"count":11,"href":"https:\/\/java.mazurok.com\/index.php?rest_route=\/wp\/v2\/posts\/2284\/revisions"}],"predecessor-version":[{"id":2735,"href":"https:\/\/java.mazurok.com\/index.php?rest_route=\/wp\/v2\/posts\/2284\/revisions\/2735"}],"wp:attachment":[{"href":"https:\/\/java.mazurok.com\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=2284"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/java.mazurok.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=2284"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/java.mazurok.com\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=2284"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}