{"id":3587,"date":"2018-09-18T14:35:49","date_gmt":"2018-09-18T11:35:49","guid":{"rendered":"http:\/\/java.mazurok.com\/?p=3587"},"modified":"2018-11-19T21:19:10","modified_gmt":"2018-11-19T18:19:10","slug":"e-olymp-2860-%d1%81%d1%83%d0%bc%d0%bc%d0%b0-%d1%87%d0%b8%d1%81%d0%b5%d0%bb-%d0%bd%d0%b0-%d0%bf%d1%80%d0%be%d0%bc%d0%b5%d0%b6%d1%83%d1%82%d0%ba%d0%b5","status":"publish","type":"post","link":"https:\/\/java.mazurok.com\/?p=3587","title":{"rendered":"e-olymp 2860. \u0421\u0443\u043c\u043c\u0430 \u0447\u0438\u0441\u0435\u043b \u043d\u0430 \u043f\u0440\u043e\u043c\u0435\u0436\u0443\u0442\u043a\u0435"},"content":{"rendered":"<h1>\u0417\u0430\u0434\u0430\u0447\u0430<\/h1>\n<p>\u041d\u0430\u0439\u0442\u0438 \u0441\u0443\u043c\u043c\u0443 \u0446\u0435\u043b\u044b\u0445 \u0447\u0438\u0441\u0435\u043b \u043d\u0430 \u043f\u0440\u043e\u043c\u0435\u0436\u0443\u0442\u043a\u0435 \u043e\u0442 $a$ \u0434\u043e $b$.<\/p>\n<h2>\u0412\u0445\u043e\u0434\u043d\u044b\u0435 \u0434\u0430\u043d\u043d\u044b\u0435<\/h2>\n<p>\u0414\u0432\u0430 \u0446\u0435\u043b\u044b\u0445 \u0447\u0438\u0441\u043b\u0430 $a$ \u0438 $b$, \u043f\u043e \u043c\u043e\u0434\u0443\u043b\u044e \u043d\u0435 \u043f\u0440\u0435\u0432\u044b\u0448\u0430\u044e\u0449\u0438\u0445 $10^9$.<\/p>\n<h2>\u0412\u044b\u0445\u043e\u0434\u043d\u044b\u0435 \u0434\u0430\u043d\u043d\u044b\u0435<\/h2>\n<p>\u0421\u0443\u043c\u043c\u0430 \u0446\u0435\u043b\u044b\u0445 \u0447\u0438\u0441\u0435\u043b \u043d\u0430 \u043f\u0440\u043e\u043c\u0435\u0436\u0443\u0442\u043a\u0435 \u043e\u0442 $a$ \u0434\u043e $b$.<\/p>\n<h2>\u0422\u0435\u0441\u0442\u044b<\/h2>\n<table>\n<tbody>\n<tr>\n<td>\u0412\u0445\u043e\u0434\u043d\u044b\u0435 \u0434\u0430\u043d\u043d\u044b\u0435<\/td>\n<td>\u0412\u044b\u0445\u043e\u0434\u043d\u044b\u0435 \u0434\u0430\u043d\u043d\u044b\u0435<\/td>\n<\/tr>\n<tr>\n<td>2 5<\/td>\n<td>14<\/td>\n<\/tr>\n<tr>\n<td>249 318<\/td>\n<td>19845<\/td>\n<\/tr>\n<tr>\n<td>23 69<\/td>\n<td>2162<\/td>\n<\/tr>\n<tr>\n<td>124 200<\/td>\n<td>12474<\/td>\n<\/tr>\n<tr>\n<td>478 653<\/td>\n<td>99528<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<h2>\u041a\u043e\u0434 \u043f\u0440\u043e\u0433\u0440\u0430\u043c\u043c\u044b<\/h2>\n<pre class=\"lang:java decode:true \" title=\"e-olymp 2860. \u0421\u0443\u043c\u043c\u0430 \u0447\u0438\u0441\u0435\u043b \u043d\u0430 \u043f\u0440\u043e\u043c\u0435\u0436\u0443\u0442\u043a\u0435\">import java.io.*;\r\nimport java.util.*;\r\n \r\npublic class Main\r\n{\r\n   public static void main(String[] args) {\r\n      Scanner in = new Scanner(System.in);\r\n      PrintWriter out = new PrintWriter(System.out);\r\n      \r\n      long a = in.nextLong();\r\n      long b = in.nextLong();\r\n      long n, S;\r\n      n = b - a + 1;\r\n      S = (a + b) * n \/ 2;\r\n      out.print(S);\r\n      \r\n      out.flush();\r\n   }\r\n}<\/pre>\n<h1>\u0420\u0435\u0448\u0435\u043d\u0438\u0435<\/h1>\n<p>\u0414\u043b\u044f \u0442\u043e\u0433\u043e, \u0447\u0442\u043e \u0431\u044b \u043d\u0430\u0439\u0442\u0438 \u043e\u0442\u0432\u0435\u0442, \u043d\u0430\u043c \u043d\u0435\u043e\u0431\u0445\u043e\u0434\u0438\u043c\u043e \u0437\u043d\u0430\u043d\u0438\u0435 \u0444\u043e\u0440\u043c\u0443\u043b \u043f\u0440\u043e\u0433\u0440\u0435\u0441\u0441\u0438\u0438, \u0442\u0430\u043a \u043a\u0430\u043a \u0440\u0435\u0448\u0435\u043d\u0438\u0435\u043c \u0434\u0430\u043d\u043d\u043e\u0439 \u0437\u0430\u0434\u0430\u0447\u0438 \u044f\u0432\u043b\u044f\u0435\u0442\u0441\u044f \u0441\u0443\u043c\u043c\u0430 $n$ \u043f\u0435\u0440\u0432\u044b\u0445 \u0447\u043b\u0435\u043d\u043e\u0432 \u0430\u0440\u0438\u0444\u043c\u0435\u0442\u0438\u0447\u0435\u0441\u043a\u043e\u0439 \u043f\u0440\u043e\u0433\u0440\u0435\u0441\u0441\u0438\u0438. \u0412\u044b\u0447\u0438\u0441\u043b\u0438\u0442\u044c \u0435\u0451 \u043c\u043e\u0436\u043d\u043e \u043f\u043e \u0444\u043e\u0440\u043c\u0443\u043b\u0435 $\\displaystyle S_n = \\frac{a_1 + a_n}{2} \\cdot n$, \u0433\u0434\u0435 $a_1$ &#8212; \u044d\u0442\u043e  <span class=\"lang:java decode:true  crayon-inline \">a<\/span>  \u0438\u0437 \u0432\u0445\u043e\u0434\u043d\u043e\u0433\u043e \u043f\u043e\u0442\u043e\u043a\u0430, \u0430 $a_n$ &#8212; \u044d\u0442\u043e  <span class=\"lang:java decode:true  crayon-inline \">b<\/span> . \u0422\u0435\u043c \u043d\u0435 \u043c\u0435\u043d\u0435\u0435, \u043c\u044b \u0432\u0441\u0435 \u0435\u0449\u0451 \u043d\u0435 \u043c\u043e\u0436\u0435\u043c \u043f\u0440\u0438\u043c\u0435\u043d\u0438\u0442\u044c \u0432\u044b\u0448\u0435\u043f\u0440\u0438\u0432\u0435\u0434\u0435\u043d\u043d\u0443\u044e \u0444\u043e\u0440\u043c\u0443\u043b\u0443, \u0442\u0430\u043a \u043a\u0430\u043a \u043d\u0430\u043c \u043d\u0435\u0438\u0437\u0432\u0435\u0441\u0442\u043d\u043e $n$. \u0412\u044b\u0432\u0435\u0434\u0435\u043c \u0436\u0435 \u0435\u0433\u043e \u0438\u0437 \u0444\u043e\u0440\u043c\u0443\u043b\u044b $n$-\u043e\u0433\u043e \u0447\u043b\u0435\u043d\u0430 \u0430\u0440\u0438\u0444\u043c\u0435\u0442\u0438\u0447\u0435\u0441\u043a\u043e\u0439 \u043f\u0440\u043e\u0433\u0440\u0435\u0441\u0441\u0438\u0438: $a_n = a_1 + d \\cdot (n-1)$, \u0433\u0434\u0435 $d$ &#8212; \u044d\u0442\u043e \u0440\u0430\u0437\u043d\u043e\u0441\u0442\u044c \u0430\u0440\u0438\u0444\u043c\u0435\u0442\u0438\u0447\u0435\u0441\u043a\u043e\u0439 \u043f\u0440\u043e\u0433\u0440\u0435\u0441\u0441\u0438\u0438, \u043a\u043e\u0442\u043e\u0440\u0430\u044f \u043f\u043e \u0443\u0441\u043b\u043e\u0432\u0438\u044e (\u0445\u043e\u0442\u044c \u0438 \u043d\u0435\u0433\u043b\u0430\u0441\u043d\u043e) \u0440\u0430\u0432\u043d\u0430 <em>\u0435\u0434\u0438\u043d\u0438\u0446\u0435<\/em>. \u0417\u043d\u0430\u044f \u044d\u0442\u043e, \u0438\u0437 \u043f\u043e\u0441\u043b\u0435\u0434\u043d\u0435\u0439 \u0444\u043e\u0440\u043c\u0443\u043b\u044b \u0432\u044b\u0432\u0435\u0434\u0435\u043c, \u0447\u0442\u043e $n = a_n-a_1 + 1$. \u0422\u0435\u043f\u0435\u0440\u044c \u0436\u0435, \u043a\u043e\u0433\u0434\u0430 \u043c\u044b \u0437\u043d\u0430\u0435\u043c \u0432\u0441\u0435 \u043d\u0435\u043e\u0431\u0445\u043e\u0434\u0438\u043c\u044b\u0435 \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u044f, \u043e\u0441\u0442\u0430\u0435\u0442\u0441\u044f \u0442\u043e\u043b\u044c\u043a\u043e \u043f\u043e\u0434\u0441\u0447\u0438\u0442\u0430\u0442\u044c \u0441\u0443\u043c\u043c\u0443 \u0430\u0440\u0438\u0444\u043c\u0435\u0442\u0438\u0447\u0435\u0441\u043a\u043e\u0439 \u043f\u0440\u043e\u0433\u0440\u0435\u0441\u0441\u0438\u0438 \u043f\u043e \u0440\u0430\u043d\u0435\u0435 \u0434\u0430\u043d\u043d\u043e\u0439 \u0444\u043e\u0440\u043c\u0443\u043b\u0435 \u0438 \u043f\u043e\u0434\u0430\u0442\u044c \u0440\u0435\u0437\u0443\u043b\u044c\u0442\u0430\u0442 \u043d\u0430 \u0432\u044b\u0445\u043e\u0434.<\/p>\n<h2>\u0421\u0441\u044b\u043b\u043a\u0438<\/h2>\n<p><a href=\"https:\/\/www.e-olymp.com\/ru\/problems\/2860\">\u0423\u0441\u043b\u043e\u0432\u0438\u0435 \u0437\u0430\u0434\u0430\u0447\u0438 \u043d\u0430 e-olymp<\/a><br \/>\n<a href=\"https:\/\/ideone.com\/plPgCH\">\u041a\u043e\u0434 \u0440\u0435\u0448\u0435\u043d\u0438\u044f \u043d\u0430 Ideone<\/a><br \/>\n<a href=\"http:\/\/cpp.mazurok.com\/e-olymp_2860\/\">\u0420\u0435\u0448\u0435\u043d\u0438\u0435 \u044d\u0442\u043e\u0439 \u0436\u0435 \u0437\u0430\u0434\u0430\u0447\u0438 \u043d\u0430 C++<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u0417\u0430\u0434\u0430\u0447\u0430 \u041d\u0430\u0439\u0442\u0438 \u0441\u0443\u043c\u043c\u0443 \u0446\u0435\u043b\u044b\u0445 \u0447\u0438\u0441\u0435\u043b \u043d\u0430 \u043f\u0440\u043e\u043c\u0435\u0436\u0443\u0442\u043a\u0435 \u043e\u0442 $a$ \u0434\u043e $b$. \u0412\u0445\u043e\u0434\u043d\u044b\u0435 \u0434\u0430\u043d\u043d\u044b\u0435 \u0414\u0432\u0430 \u0446\u0435\u043b\u044b\u0445 \u0447\u0438\u0441\u043b\u0430 $a$ \u0438 $b$, \u043f\u043e \u043c\u043e\u0434\u0443\u043b\u044e \u043d\u0435 \u043f\u0440\u0435\u0432\u044b\u0448\u0430\u044e\u0449\u0438\u0445 $10^9$. \u0412\u044b\u0445\u043e\u0434\u043d\u044b\u0435 \u0434\u0430\u043d\u043d\u044b\u0435 \u0421\u0443\u043c\u043c\u0430 \u0446\u0435\u043b\u044b\u0445 \u0447\u0438\u0441\u0435\u043b \u043d\u0430 \u043f\u0440\u043e\u043c\u0435\u0436\u0443\u0442\u043a\u0435 \u043e\u0442 $a$ \u0434\u043e $b$. \u0422\u0435\u0441\u0442\u044b \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 2 5 14 249 318 19845 23 69 2162 124 200 12474 478 653 99528 &hellip; 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