{"id":345251,"date":"2023-02-10T09:04:54","date_gmt":"2023-02-10T09:04:54","guid":{"rendered":"http:\/\/savepearlharbor.com\/?p=345251"},"modified":"-0001-11-30T00:00:00","modified_gmt":"-0001-11-29T21:00:00","slug":"","status":"publish","type":"post","link":"https:\/\/savepearlharbor.com\/?p=345251","title":{"rendered":"<span>\u0423\u043f\u0430\u043a\u043e\u0432\u043a\u0430 N \u043a\u0440\u0443\u0433\u043e\u0432 \u0440\u0430\u0437\u043b\u0438\u0447\u043d\u044b\u0445 \u0434\u0438\u0430\u043c\u0435\u0442\u0440\u043e\u0432 \u043d\u0430 X \u043b\u0438\u0441\u0442\u043e\u0432 (\u043f\u0440\u044f\u043c\u043e\u0443\u0433\u043e\u043b\u044c\u043d\u0438\u043a\u043e\u0432), \u0437\u0430\u0434\u0430\u043d\u043d\u044b\u0445 \u0433\u0430\u0431\u0430\u0440\u0438\u0442\u043e\u0432<\/span>"},"content":{"rendered":"<div><\/div>\n<div id=\"post-content-body\">\n<div>\n<div class=\"article-formatted-body article-formatted-body article-formatted-body_version-2\">\n<div xmlns=\"http:\/\/www.w3.org\/1999\/xhtml\">\n<p>\u0414\u0440\u0443\u0433\u0438\u043c\u0438 \u0441\u043b\u043e\u0432\u0430\u043c\u0438 \u043c\u044b \u0438\u043c\u0435\u0435\u043c \u0447\u0430\u0441\u0442\u043d\u044b\u0439 \u0441\u043b\u0443\u0447\u0430\u0439 \u0437\u0430\u0434\u0430\u0447\u0438 \u043f\u043e \u0440\u0430\u0441\u043a\u0440\u043e\u044e \u043c\u0430\u0442\u0435\u0440\u0438\u0430\u043b\u0430. <\/p>\n<p>\u041d\u0435\u043c\u043d\u043e\u0433\u043e \u043f\u0440\u0435\u0434\u044b\u0441\u0442\u043e\u0440\u0438\u0438: \u0432 \u043e\u0434\u043d\u043e\u043c \u0438\u0437 \u0441\u0432\u043e\u0438\u0445 \u043f\u0440\u043e\u0435\u043a\u0442\u043e\u0432 \u0443 \u043c\u0435\u043d\u044f \u043f\u043e\u044f\u0432\u0438\u043b\u0430\u0441\u044c \u0437\u0430\u0434\u0430\u0447\u0430 \u043f\u043e \u0440\u0430\u0441\u0447\u0435\u0442\u0443 \u043d\u0435\u043e\u0431\u0445\u043e\u0434\u0438\u043c\u043e\u0433\u043e \u043a\u043e\u043b\u0438\u0447\u0435\u0441\u0442\u0432\u0430 \u043b\u0438\u0441\u0442\u043e\u0432 \u043c\u0435\u0442\u0430\u043b\u043b\u0430 \u0434\u043b\u044f \u043f\u0440\u043e\u0438\u0437\u0432\u043e\u0434\u0441\u0442\u0432\u0430 \u0434\u0435\u0442\u0430\u043b\u0435\u0439 \u043a\u0440\u0443\u0433\u043b\u043e\u0439 \u0444\u043e\u0440\u043c\u044b. \u0412 \u043c\u043e\u0435\u043c \u0441\u043b\u0443\u0447\u0430\u0435 \u044d\u0442\u043e \u043b\u0438\u0441\u0442\u044b \u043c\u0435\u0442\u0430\u043b\u043b\u0430 \u0441\u0442\u0430\u043d\u0434\u0430\u0440\u0442\u043d\u043e\u0433\u043e \u0433\u0430\u0431\u0430\u0440\u0438\u0442\u0430 6000&#215;1500 \u043c\u0438\u043b\u043b\u0438\u043c\u0435\u0442\u0440\u043e\u0432.  <\/p>\n<p>\u041f\u043e\u0438\u0441\u043a\u0430\u0432 \u0433\u043e\u0442\u043e\u0432\u044b\u0435 \u0440\u0435\u0448\u0435\u043d\u0438\u044f \u044d\u0442\u043e\u0439 \u0437\u0430\u0434\u0430\u0447\u0438, \u044f \u0440\u0435\u0448\u0438\u043b \u043d\u0430\u043f\u0438\u0441\u0430\u0442\u044c \u0441\u0432\u043e\u0439 \u0432\u0430\u0440\u0438\u0430\u043d\u0442.<\/p>\n<p>\u041d\u0435 \u0441\u0443\u0434\u0438\u0442\u0435 \u0441\u0442\u0440\u043e\u0433\u043e \u044d\u0442\u043e \u0432\u0441\u0435 \u0440\u043e\u0434\u0438\u043b\u043e\u0441\u044c \u0437\u0430 \u043d\u0435\u0441\u043a\u043e\u043b\u044c\u043a\u043e \u0447\u0430\u0441\u043e\u0432 \ud83d\ude42<\/p>\n<h2>\u041f\u043e\u0441\u0442\u0430\u043d\u043e\u0432\u043a\u0430 \u0437\u0430\u0434\u0430\u0447\u0438<\/h2>\n<p>\u041d\u0430\u0439\u0442\u0438 \u043d\u0430\u0438\u043c\u0435\u043d\u044c\u0448\u0435\u0435 \u043a\u043e\u043b\u0438\u0447\u0435\u0441\u0442\u0432\u043e \u043b\u0438\u0441\u0442\u043e\u0432 \u043c\u0435\u0442\u0430\u043b\u043b\u0430, \u0437\u0430\u0434\u0430\u043d\u043d\u043e\u0433\u043e \u0433\u0430\u0431\u0430\u0440\u0438\u0442\u0430 \u0434\u043b\u044f \u043f\u0440\u043e\u0438\u0437\u0432\u043e\u0434\u0441\u0442\u0432\u0430 \u0437\u0430\u0434\u0430\u043d\u043d\u043e\u0433\u043e \u0441\u043f\u0438\u0441\u043a\u0430 \u0434\u0435\u0442\u0430\u043b\u0435\u0439 \u043a\u0440\u0443\u0433\u043b\u043e\u0439 \u0444\u043e\u0440\u043c\u044b, \u0437\u0430\u0434\u0430\u043d\u043d\u044b\u0445 \u0441\u0432\u043e\u0438\u043c\u0438 \u0434\u0438\u0430\u043c\u0435\u0442\u0440\u0430\u043c\u0438.<\/p>\n<h2>\u041e\u043f\u0438\u0441\u0430\u043d\u0438\u0435 \u0430\u043b\u0433\u043e\u0440\u0438\u0442\u043c\u0430<\/h2>\n<p>\u0418\u0437 \u043f\u043e\u043b\u0443\u0447\u0435\u043d\u043d\u043e\u0433\u043e \u043d\u0430 \u0432\u0445\u043e\u0434\u0435 \u0441\u043b\u043e\u0432\u0430\u0440\u044f, \u0441\u043e\u0434\u0435\u0440\u0436\u0430\u0449\u0435\u0433\u043e \u0440\u0430\u0434\u0438\u0443\u0441\u044b \u043a\u0440\u0443\u0433\u043e\u0432 \u0438 \u0438\u0445 \u043a\u043e\u043b\u0438\u0447\u0435\u0441\u0442\u0432\u0430 \u043c\u044b \u0444\u043e\u0440\u043c\u0438\u0440\u0443\u0435\u043c \u043c\u0430\u0441\u0441\u0438\u0432, \u0432\u0438\u0434\u0430:<\/p>\n<pre><code class=\"python\"># \u0421\u043b\u043e\u0432\u0430\u0440\u044c \u043d\u0430 \u0432\u0445\u043e\u0434\u0435 \u043e\u0442 \u043f\u043e\u043b\u044c\u0437\u043e\u0432\u0430\u0442\u0435\u043b\u044f user_circles = {     830 : 1,     730 : 2,     490 : 4,     360 : 6,     280 : 8,     150 : 12,     100 : 16,     50 : 18, } # \u041c\u0430\u0441\u0441\u0438\u0432 \u0443\u043f\u043e\u0440\u044f\u0434\u043e\u0447\u0435\u043d\u043d\u044b\u0445 \u043f\u043e \u0443\u0431\u044b\u0432\u0430\u043d\u0438\u044e \u0440\u0430\u0434\u0438\u0443\u0441\u0430 \u043e\u0431\u044a\u0435\u043a\u0442\u043e\u0432-\u043a\u0440\u0443\u0433\u043e\u0432 self.circles = [   Circle(830),   Circle(730),   Circle(730),   Circle(490),   Circle(490),   Circle(490),   Circle(490),   ... ]<\/code><\/pre>\n<p>\u0414\u0430\u043b\u0435\u0435 \u043c\u044b \u0441\u043e\u0437\u0434\u0430\u0435\u043c \u043d\u043e\u0432\u044b\u0439 \u043b\u0438\u0441\u0442 (\u043f\u0440\u044f\u043c\u043e\u0443\u0433\u043e\u043b\u044c\u043d\u0438\u043a) \u0437\u0430\u0434\u0430\u043d\u043d\u044b\u0445 \u043f\u043e\u043b\u044c\u0437\u043e\u0432\u0430\u0442\u0435\u043b\u0435\u043c \u0440\u0430\u0437\u043c\u0435\u0440\u043e\u0432:<\/p>\n<pre><code class=\"python\">self.sheets.append(Sheet(self.sheet_w, self.sheet_h))<\/code><\/pre>\n<p>\u041e\u0440\u0433\u0430\u043d\u0438\u0437\u0443\u0435\u043c \u0446\u0438\u043a\u043b \u043f\u043e \u043c\u0430\u0441\u0441\u0438\u0432\u0443 \u0441 \u0443\u043f\u043e\u0440\u044f\u0434\u043e\u0447\u0435\u043d\u043d\u044b\u043c\u0438 \u043e\u0431\u044a\u0435\u043a\u0442\u0430\u043c\u0438-\u043a\u0440\u0443\u0433\u0430\u043c\u0438 \u0438 \u0434\u043b\u044f \u043a\u0430\u0436\u0434\u043e\u0433\u043e \u043a\u0440\u0443\u0433\u0430 \u0438\u0441\u043f\u043e\u043b\u044c\u0437\u0443\u0435\u043c \u043c\u0435\u0442\u043e\u0434 \u043f\u043e\u0438\u0441\u043a\u0430 \u043d\u0430\u0438\u043b\u0443\u0447\u0448\u0435\u0439 \u043a\u043e\u043e\u0440\u0434\u0438\u043d\u0430\u0442\u044b Y:<\/p>\n<pre><code class=\"python\">for i in self.circles:   i.cx, i.cy = self.find_best_packing_start_point(current_sheet, i)<\/code><\/pre>\n<p>\u0412\u043e\u0442 \u043d\u0435\u0431\u043e\u043b\u044c\u0448\u0430\u044f \u0438\u043b\u043b\u044e\u0441\u0442\u0440\u0430\u0446\u0438\u044f \u044d\u0442\u043e\u0433\u043e \u0430\u043b\u0433\u043e\u0440\u0438\u0442\u043c\u0430:<\/p>\n<figure class=\"full-width\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/habrastorage.org\/r\/w1560\/getpro\/habr\/upload_files\/57f\/b82\/16f\/57fb8216f4a5e5f57e700b8bbb9acc3a.png\" alt=\"\u0414\u043b\u044f \u043a\u0430\u0436\u0434\u043e\u0433\u043e \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0435\u0433\u043e \u043a\u0440\u0443\u0433\u0430 \u0438\u0449\u0435\u0442\u0441\u044f \u043d\u0430\u0438\u043b\u0443\u0447\u0448\u0430\u044f \u043a\u043e\u043e\u0440\u0434\u0438\u043d\u0430\u0442\u0430 Y\" title=\"\u0414\u043b\u044f \u043a\u0430\u0436\u0434\u043e\u0433\u043e \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0435\u0433\u043e \u043a\u0440\u0443\u0433\u0430 \u0438\u0449\u0435\u0442\u0441\u044f \u043d\u0430\u0438\u043b\u0443\u0447\u0448\u0430\u044f \u043a\u043e\u043e\u0440\u0434\u0438\u043d\u0430\u0442\u0430 Y\" width=\"1796\" height=\"1572\" data-src=\"https:\/\/habrastorage.org\/getpro\/habr\/upload_files\/57f\/b82\/16f\/57fb8216f4a5e5f57e700b8bbb9acc3a.png\"\/><figcaption>\u0414\u043b\u044f \u043a\u0430\u0436\u0434\u043e\u0433\u043e \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0435\u0433\u043e \u043a\u0440\u0443\u0433\u0430 \u0438\u0449\u0435\u0442\u0441\u044f \u043d\u0430\u0438\u043b\u0443\u0447\u0448\u0430\u044f \u043a\u043e\u043e\u0440\u0434\u0438\u043d\u0430\u0442\u0430 Y<\/figcaption><\/figure>\n<p>\u0415\u0441\u043b\u0438 \u043e\u0447\u0435\u0440\u0435\u0434\u043d\u043e\u0439 \u043a\u0440\u0443\u0433 \u0431\u044b\u043b \u0443\u0441\u043f\u0435\u0448\u043d\u043e \u043f\u043e\u043c\u0435\u0449\u0435\u043d \u043d\u0430 \u0442\u0435\u043a\u0443\u0449\u0438\u0439 \u043b\u0438\u0441\u0442 (\u043f\u0440\u044f\u043c\u043e\u0443\u0433\u043e\u043b\u044c\u043d\u0438\u043a) \u0442\u043e \u0438\u0437 \u0441\u043b\u043e\u0432\u0430\u0440\u044f \u043a\u0440\u0443\u0433\u043e\u0432, \u0437\u0430\u0434\u0430\u043d\u043d\u043e\u0433\u043e \u043f\u043e\u043b\u044c\u0437\u043e\u0432\u0430\u0442\u0435\u043b\u0435\u0439 \u0432\u044b\u0447\u0438\u0442\u0430\u0435\u0442\u0441\u044f \u043a\u0440\u0443\u0433 \u0434\u0430\u043d\u043d\u043e\u0433\u043e \u0440\u0430\u0434\u0438\u0443\u0441\u0430:<\/p>\n<pre><code class=\"python\">self.user_circles[i.r] -= 1<\/code><\/pre>\n<p>\u0415\u0441\u043b\u0438 \u0442\u0435\u043a\u0443\u0449\u0438\u0439 \u043a\u0440\u0443\u0433 \u043d\u0435 \u0432\u0445\u043e\u0434\u0438\u0442 \u0432 \u043b\u0438\u0441\u0442 (\u043f\u0440\u044f\u043c\u043e\u0443\u0433\u043e\u043b\u044c\u043d\u0438\u043a) \u043f\u043e \u0433\u0430\u0431\u0430\u0440\u0438\u0442\u0430\u043c, \u0442\u043e \u043e\u043d \u0434\u043e\u0431\u0430\u0432\u043b\u044f\u0435\u0442\u0441\u044f \u0432 \u043f\u0435\u0440\u0435\u043c\u0435\u043d\u043d\u0443\u044e:<\/p>\n<pre><code class=\"python\">self.circles_excluded[i.r] += 1<\/code><\/pre>\n<p>\u041a\u043e\u0433\u0434\u0430 \u0434\u043b\u044f \u0442\u0435\u043a\u0443\u0449\u0435\u0433\u043e \u043b\u0438\u0441\u0442\u0430 (\u043f\u0440\u044f\u043c\u043e\u0443\u0433\u043e\u043b\u044c\u043d\u0438\u043a\u0430) \u043c\u044b \u043f\u043e\u043f\u0440\u043e\u0431\u043e\u0432\u0430\u043b\u0438 \u0440\u0430\u0437\u043c\u0435\u0441\u0442\u0438\u0442\u044c \u0432\u0441\u0435 \u043a\u0440\u0443\u0433\u0438 \u0438\u0437 \u043c\u0430\u0441\u0441\u0438\u0432\u0430 <code>self.circles<\/code> \u043c\u044b \u0433\u0435\u043d\u0435\u0440\u0438\u0440\u0443\u0435\u043c \u0437\u0430\u043d\u043e\u0432\u043e \u043c\u0430\u0441\u0441\u0438\u0432 <code>self.circles<\/code> \u0438\u0437 \u043e\u0441\u0442\u0430\u0432\u0448\u0438\u0445\u0441\u044f \u0434\u043b\u044f \u0440\u0430\u0437\u043c\u0435\u0449\u0435\u043d\u0438\u044f \u043a\u0440\u0443\u0433\u043e\u0432:<\/p>\n<pre><code class=\"python\"># \u0423\u0431\u0438\u0440\u0430\u0435\u043c \u043a\u0440\u0443\u0433\u0438, \u043a\u043e\u0442\u043e\u0440\u044b\u0435 \u0443\u0436\u0435 \u0440\u0430\u0437\u043c\u0435\u0449\u0435\u043d\u044b   def clean_circles(self):     circles_cleaned = []     for i in self.user_circles.keys():       for k in range(self.user_circles[i]):         circles_cleaned.append(Circle(i))     self.circles = circles_cleaned<\/code><\/pre>\n<p>\u0414\u0430\u043b\u0435\u0435 \u043c\u044b \u0434\u043e\u0431\u0430\u0432\u043b\u044f\u0435\u043c \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0438\u0439 \u043b\u0438\u0441\u0442 \u0438 \u043f\u043e\u0432\u0442\u043e\u0440\u044f\u0435\u043c \u0430\u043b\u0433\u043e\u0440\u0438\u0442\u043c \u043f\u043e\u043a\u0430 \u043d\u0435 \u043e\u0441\u0442\u0430\u043d\u0435\u0442\u0441\u044f \u043a\u0440\u0443\u0433\u043e\u0432 \u0434\u043b\u044f \u0440\u0430\u0437\u043c\u0435\u0449\u0435\u043d\u0438\u044f.<\/p>\n<h2>\u0418\u0441\u0445\u043e\u0434\u043d\u044b\u0439 \u043a\u043e\u0434 \u043d\u0430 Python<\/h2>\n<pre><code class=\"python\">import svgwrite import math  class Sheet:    def __init__(self, w, h):     self.w = w     self.h = h     self.circles = []   class Circle:    def __init__(self, r, cx=None, cy=None):     self.cx = cx     self.cy = cy     self.r = r         @staticmethod   def two_circle_intersections(c1, c2):     x0, y0, r0 = c1.cx, c1.cy, c1.r     x1, y1, r1 = c2.cx, c2.cy, c2.r     d = math.sqrt((x1-x0)**2 + (y1-y0)**2)     if d > r0 + r1 :         return False     if d &lt; abs(r0-r1):         return False     if d == 0 and r0 == r1:         return False     else:       return True   class CirclePacking:    ACCURACY = 20 # \u041d\u0430 \u0441\u043a\u043e\u043b\u044c\u043a\u043e \u0447\u0430\u0441\u0442\u0435\u0439 \u0434\u0435\u043b\u0438\u043c \u0432\u044b\u0441\u043e\u0442\u0443 \u0434\u043b\u044f \u043f\u043e\u0438\u0441\u043a\u0430 \u043d\u0430\u0438\u043b\u0443\u0447\u0448\u0435\u0439 \u043f\u043e\u0437\u0438\u0446\u0438\u0438 \u043f\u043e \u0432\u0435\u0440\u0442\u0438\u043a\u0430\u043b\u0438 \u0434\u043b\u044f \u0442\u0435\u043a\u0443\u0449\u0435\u0433\u043e \u043a\u0440\u0443\u0433\u0430      def __init__(self, sheet_w, sheet_h, circles, cut_border):     self.sheet_w = sheet_w     self.sheet_h = sheet_h     self.user_circles = circles     self.circles = []     self.sheets = []     self.circles_excluded = {}     self.cut_border = cut_border     def create_circles_sorted(self):     self.circles = []     for i in reversed(sorted(self.user_circles.keys())):       for k in range(self.user_circles[i]):         self.circles.append(Circle(i))     # \u0423\u0431\u0438\u0440\u0430\u0435\u043c \u043a\u0440\u0443\u0433\u0438, \u043a\u043e\u0442\u043e\u0440\u044b\u0435 \u0443\u0436\u0435 \u0440\u0430\u0437\u043c\u0435\u0449\u0435\u043d\u044b   def clean_circles(self):     circles_cleaned = []     for i in self.user_circles.keys():       for k in range(self.user_circles[i]):         circles_cleaned.append(Circle(i))     self.circles = circles_cleaned     def packing(self):     self.create_circles_sorted()     while sum(self.user_circles.values()) > 0:       #print(self.user_circles, self.circles)       self.sheets.append(Sheet(self.sheet_w, self.sheet_h))       current_sheet = self.sheets[-1]       for i in self.circles:         i.cx, i.cy = self.find_best_packing_start_point(current_sheet, i)         if i.cx is None and i.cy is None:           if i.r not in self.circles_excluded:             self.circles_excluded[i.r] = 1           else:             self.circles_excluded[i.r] += 1           self.user_circles[i.r] -= 1         else:           # \u041f\u0440\u043e\u0432\u0435\u0440\u043a\u0430 \u0447\u0442\u043e \u043c\u044b \u043d\u0435 \u0432\u044b\u0448\u043b\u0438 \u0437\u0430 \u0434\u043b\u0438\u043d\u0443 \u043b\u0438\u0441\u0442\u0430           if i.cx > current_sheet.w - i.r - self.cut_border:             pass           else:             self.user_circles[i.r] -= 1             current_sheet.circles.append(i)       self.clean_circles()     # \u0418\u0449\u0435\u043c \u043d\u0430\u0438\u043b\u0443\u0447\u0448\u0443\u044e \u043f\u043e\u0437\u0438\u0446\u0438\u044e \u043f\u043e \u0432\u0435\u0440\u0442\u0438\u043a\u0430\u043b\u0438 \u0434\u043b\u044f \u0440\u0430\u0437\u043c\u0435\u0449\u0435\u043d\u0438\u044f \u043a\u0440\u0443\u0433\u0430    def find_best_packing_start_point(self, s, c):     try_results = {}     N = CirclePacking.ACCURACY     step = int((s.h -c.r) \/ N)     # \u0424\u043e\u0440\u043c\u0438\u0440\u0443\u0435\u043c \u043c\u0430\u0441\u0441\u0438\u0432 \u043a\u043e\u043e\u0440\u0434\u0438\u043d\u0430\u0442 \u043f\u043e \u0432\u0435\u0440\u0442\u0438\u043a\u0430\u043b\u0438 \u0434\u043b\u044f \u043f\u043e\u043f\u044b\u0442\u043e\u043a     try_y = [c.r, s.h-c.r, s.h\/2]     for i in range(int((s.h - c.r) \/ step)):       try_y.append(c.r + step * i)     # \u041f\u0440\u043e\u0431\u0443\u0435\u043c \u0432\u0441\u0435 \u043a\u043e\u043e\u0440\u0434\u0438\u043d\u0430\u0442\u044b \u0438\u0437 \u043c\u0430\u0441\u0441\u0438\u0432\u0430 \u043f\u043e\u043f\u044b\u0442\u043e\u043a     for i in try_y:       c.cx = s.w + c.r       c.cy = i       self.move_circle(s, c)       # \u041f\u0440\u043e\u0432\u0435\u0440\u044f\u0435\u043c \u0447\u0442\u043e \u043c\u044b \u0432\u043e\u0448\u043b\u0438 \u043d\u0430 \u043b\u0438\u0441\u0442       if c.cy >= c.r + self.cut_border and c.cy &lt;= s.h - c.r - self.cut_border:         try_results[c.cx] = c.cy     if try_results == {}:       cx = cy = None     else:       cx = sorted(try_results.keys())[0]       cy = try_results[cx]     return cx, cy     def move_circle(self, s, c):     while c.cx > c.r + self.cut_border:       if self.check_intersections(s, c):         return       c.cx -= 1     def check_intersections(self, s, c):     for i in s.circles:       i.r += self.cut_border       if Circle.two_circle_intersections(i, c):         i.r -= self.cut_border         return True       i.r -= self.cut_border     return False     def draw_sheet_with_circles(self, sheet_idx, scale, filename):     sheet = self.sheets[sheet_idx]     w = sheet.w * scale     h = sheet.h * scale     border_x = 150 * scale     border_y = 150 * scale     svg = svgwrite.Drawing(filename = filename, size = (str(w+border_x*2)+'px', str(h+border_y*2)+'px'))     svg.add(svg.line(stroke='red', start=(str(0+border_x)+'px', str(0+border_y)+'px'), end=(str(w+border_x)+'px', str(0+border_y)+'px')))     svg.add(svg.line(stroke='red', start=(str(0+border_x)+'px', str(0+border_y)+'px'), end=(str(0+border_x)+'px', str(h+border_y)+'px')))     svg.add(svg.line(stroke='red', start=(str(0+border_x)+'px', str(h+border_y)+'px'), end=(str(w+border_x)+'px', str(h+border_y)+'px')))     line1 = svg.add(svg.line(stroke='red', start=(str(w+border_x)+'px', str(0+border_y)+'px'), end=(str(w+border_x)+'px', str(h+border_y)+'px')))     line1.dasharray([5, 10])     for i in sheet.circles:       cx = i.cx * scale       cy = i.cy * scale       r = i.r * scale       svg.add(svg.circle(center=(str(cx+border_x)+'px', str(cy+border_x)+'px'), r=str(r)+'px', stroke='black', fill='white', stroke_width=1))     svg.save()<\/code><\/pre>\n<h2>\u041f\u0440\u0438\u043c\u0435\u0440 \u0440\u0430\u0431\u043e\u0442\u044b \u0430\u043b\u0433\u043e\u0440\u0438\u0442\u043c\u0430<\/h2>\n<p>\u041d\u0438\u0436\u0435 \u043f\u0440\u0438\u0432\u0435\u0434\u0435\u043d \u043f\u0440\u0438\u043c\u0435\u0440 \u0440\u0430\u0431\u043e\u0442\u044b \u0430\u043b\u0433\u043e\u0440\u0438\u0442\u043c\u0430:<\/p>\n<pre><code class=\"python\">circles = {     830 : 1,     730 : 2,     490 : 4,     360 : 6,     280 : 8,     150 : 12,     100 : 16,     50 : 18, }  cp = CirclePacking(sheet_w=6000, sheet_h=1500, circles=circles, cut_border=20) cp.packing()<\/code><\/pre>\n<figure class=\"full-width\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/habrastorage.org\/r\/w1560\/getpro\/habr\/upload_files\/139\/440\/8f5\/1394408f5c8a14ec7cd29b170bf51b9a.png\" alt=\"\u041f\u0440\u0438\u043c\u0435\u0440 \u0443\u043f\u0430\u043a\u043e\u0432\u043a\u0438 \u043a\u0440\u0443\u0433\u043e\u0432 \u043d\u0430 \u043b\u0438\u0441\u0442\u044b (\u043f\u0440\u044f\u043c\u043e\u0443\u0433\u043e\u043b\u044c\u043d\u0438\u043a\u0438)\" title=\"\u041f\u0440\u0438\u043c\u0435\u0440 \u0443\u043f\u0430\u043a\u043e\u0432\u043a\u0438 \u043a\u0440\u0443\u0433\u043e\u0432 \u043d\u0430 \u043b\u0438\u0441\u0442\u044b (\u043f\u0440\u044f\u043c\u043e\u0443\u0433\u043e\u043b\u044c\u043d\u0438\u043a\u0438)\" width=\"625\" height=\"549\" data-src=\"https:\/\/habrastorage.org\/getpro\/habr\/upload_files\/139\/440\/8f5\/1394408f5c8a14ec7cd29b170bf51b9a.png\"\/><figcaption>\u041f\u0440\u0438\u043c\u0435\u0440 \u0443\u043f\u0430\u043a\u043e\u0432\u043a\u0438 \u043a\u0440\u0443\u0433\u043e\u0432 \u043d\u0430 \u043b\u0438\u0441\u0442\u044b (\u043f\u0440\u044f\u043c\u043e\u0443\u0433\u043e\u043b\u044c\u043d\u0438\u043a\u0438)<\/figcaption><\/figure>\n<p>\u041e\u0431\u0440\u0430\u0442\u0438\u0442\u0435 \u0432\u043d\u0438\u043c\u0430\u043d\u0438\u0435 \u043d\u0430 \u0442\u043e, \u0447\u0442\u043e \u043a\u0440\u0443\u0433 \u0441 \u0440\u0430\u0434\u0438\u0443\u0441\u043e\u043c 830 \u043d\u0435 \u0432\u043e\u0448\u0435\u043b \u043d\u0430 \u043b\u0438\u0441\u0442\u044b 6000&#215;1500 \u0438 \u043e\u043d \u043f\u043e\u043c\u0435\u0449\u0435\u043d \u0432 \u0430\u0442\u0440\u0438\u0431\u0443\u0442: cp.circles_excluded:<\/p>\n<pre><code class=\"python\">cp.circles_excluded #  {830: 1}<\/code><\/pre>\n<h2>\u041e\u0441\u0442\u0430\u0432\u0448\u0438\u0435\u0441\u044f \u0432\u043e\u043f\u0440\u043e\u0441\u044b:<\/h2>\n<ul>\n<li>\n<p>\u041a\u0430\u043a \u0443\u0441\u043a\u043e\u0440\u0438\u0442\u044c \u0440\u0430\u0431\u043e\u0442\u0443 \u0430\u043b\u0433\u043e\u0440\u0438\u0442\u043c\u0430 \u043d\u0435 \u0432\u044b\u0445\u043e\u0434\u044f \u0437\u0430 \u0432\u043e\u0437\u043c\u043e\u0436\u043d\u043e\u0441\u0442\u0438 \u0441\u0442\u0430\u043d\u0434\u0430\u0440\u0442\u043d\u043e\u0433\u043e Python (\u043d\u0435 \u0438\u0441\u043f\u043e\u043b\u044c\u0437\u043e\u0432\u0430\u0442\u044c \u0431\u0438\u0431\u043b\u0438\u043e\u0442\u0435\u043a\u0438 \u0443\u0441\u043a\u043e\u0440\u0435\u043d\u0438\u044f \u043a\u043e\u0434\u0430 Python)?<\/p>\n<\/li>\n<li>\n<p>\u041a\u0430\u043a \u0435\u0449\u0435 \u043f\u043e\u0432\u044b\u0441\u0438\u0442\u044c \u043f\u043b\u043e\u0442\u043d\u043e\u0441\u0442\u044c \u0437\u0430\u043f\u043e\u043b\u043d\u0435\u043d\u0438\u044f \u043b\u0438\u0441\u0442\u043e\u0432?<\/p>\n<\/li>\n<\/ul>\n<h2>\u0421\u0441\u044b\u043b\u043a\u0438<\/h2>\n<p>Github: <a href=\"https:\/\/github.com\/tau15\/python_circle_packing_in_rectangle\" rel=\"noopener noreferrer nofollow\">https:\/\/github.com\/tau15\/python_circle_packing_in_rectangle<\/a><\/p>\n<p>Google Colab: <a href=\"https:\/\/colab.research.google.com\/drive\/1e-RoNHStyqdyROZNPHga_vvrIKyRy3ZR?usp=sharing\" rel=\"noopener noreferrer nofollow\">https:\/\/colab.research.google.com\/drive\/1e-RoNHStyqdyROZNPHga_vvrIKyRy3ZR?usp=sharing<\/a><\/p>\n<p>\u0412\u043e\u043f\u0440\u043e\u0441\u044b \u0438 \u043f\u0440\u0435\u0434\u043b\u043e\u0436\u0435\u043d\u0438\u044f \u043d\u0430 \u0430\u043b\u0433\u043e\u0440\u0438\u0442\u043c\u0443 \u043f\u0438\u0448\u0438\u0442\u0435 \u043c\u043d\u0435: <a class=\"mention\" href=\"\/users\/tau15\">@TAU15<\/a><\/p>\n<\/p>\n<\/div>\n<\/div>\n<\/div>\n<p> <!----> <!----><\/div>\n<p> <!----> <\/p>\n<div class=\"tm-article-poll\">\n<div class=\"tm-notice tm-article-poll__notice tm-notice_positive\"><!----> <\/p>\n<div class=\"tm-notice__inner\"><!----> <\/p>\n<div class=\"tm-notice__content\"><span>\u0422\u043e\u043b\u044c\u043a\u043e \u0437\u0430\u0440\u0435\u0433\u0438\u0441\u0442\u0440\u0438\u0440\u043e\u0432\u0430\u043d\u043d\u044b\u0435 \u043f\u043e\u043b\u044c\u0437\u043e\u0432\u0430\u0442\u0435\u043b\u0438 \u043c\u043e\u0433\u0443\u0442 \u0443\u0447\u0430\u0441\u0442\u0432\u043e\u0432\u0430\u0442\u044c \u0432 \u043e\u043f\u0440\u043e\u0441\u0435. <a rel=\"nofollow\" href=\"\/kek\/v1\/auth\/habrahabr\/?back=\/ru\/post\/708810\/&#038;hl=ru\">\u0412\u043e\u0439\u0434\u0438\u0442\u0435<\/a>, \u043f\u043e\u0436\u0430\u043b\u0443\u0439\u0441\u0442\u0430.<\/span><\/div>\n<\/div>\n<\/div>\n<div class=\"tm-article-poll__header\">\u0410 \u043d\u0430 \u043a\u0430\u043a\u043e\u043c \u0431\u044b \u044f\u0437\u044b\u043a\u0435 \u0412\u044b \u0441\u0442\u0430\u043b\u0438 \u0440\u0435\u0448\u0430\u0442\u044c \u043f\u043e\u0434\u043e\u0431\u043d\u0443\u044e \u0437\u0430\u0434\u0430\u0447\u0443?<\/div>\n<div class=\"tm-article-poll__answers\">\n<div class=\"tm-article-poll__answer\">\n<div class=\"tm-article-poll__answer-data\"><span class=\"tm-article-poll__answer-percent\">             28.57%           <\/span> <span class=\"tm-article-poll__answer-label\">Python<\/span> <span class=\"tm-article-poll__answer-votes\">             2           <\/span><\/div>\n<div class=\"tm-article-poll__answer-bar\">\n<div class=\"tm-article-poll__answer-progress\" style=\"width:28.57%;\"><\/div>\n<\/div>\n<\/div>\n<div class=\"tm-article-poll__answer\">\n<div class=\"tm-article-poll__answer-data\"><span class=\"tm-article-poll__answer-percent\">             14.29%           <\/span> <span class=\"tm-article-poll__answer-label\">Java<\/span> <span class=\"tm-article-poll__answer-votes\">             1           <\/span><\/div>\n<div class=\"tm-article-poll__answer-bar\">\n<div class=\"tm-article-poll__answer-progress\" style=\"width:14.29%;\"><\/div>\n<\/div>\n<\/div>\n<div class=\"tm-article-poll__answer\">\n<div class=\"tm-article-poll__answer-data\"><span class=\"tm-article-poll__answer-percent\">             0%           <\/span> <span class=\"tm-article-poll__answer-label\">C\/\u0421++<\/span> <span class=\"tm-article-poll__answer-votes\">             0           <\/span><\/div>\n<div class=\"tm-article-poll__answer-bar\">\n<div class=\"tm-article-poll__answer-progress\" style=\"width:0%;\"><\/div>\n<\/div>\n<\/div>\n<div class=\"tm-article-poll__answer\">\n<div class=\"tm-article-poll__answer-data\"><span class=\"tm-article-poll__answer-percent\">             0%           <\/span> <span class=\"tm-article-poll__answer-label\">C#<\/span> <span class=\"tm-article-poll__answer-votes\">             0           <\/span><\/div>\n<div class=\"tm-article-poll__answer-bar\">\n<div class=\"tm-article-poll__answer-progress\" style=\"width:0%;\"><\/div>\n<\/div>\n<\/div>\n<div class=\"tm-article-poll__answer\">\n<div class=\"tm-article-poll__answer-data\"><span class=\"tm-article-poll__answer-percent\">             0%           <\/span> <span class=\"tm-article-poll__answer-label\">Haskell<\/span> <span class=\"tm-article-poll__answer-votes\">             0           <\/span><\/div>\n<div class=\"tm-article-poll__answer-bar\">\n<div class=\"tm-article-poll__answer-progress\" style=\"width:0%;\"><\/div>\n<\/div>\n<\/div>\n<div class=\"tm-article-poll__answer\">\n<div class=\"tm-article-poll__answer-data\"><span class=\"tm-article-poll__answer-percent\">             0%           <\/span> <span class=\"tm-article-poll__answer-label\">Go<\/span> <span class=\"tm-article-poll__answer-votes\">             0           <\/span><\/div>\n<div class=\"tm-article-poll__answer-bar\">\n<div class=\"tm-article-poll__answer-progress\" style=\"width:0%;\"><\/div>\n<\/div>\n<\/div>\n<div class=\"tm-article-poll__answer\">\n<div class=\"tm-article-poll__answer-data\"><span class=\"tm-article-poll__answer-percent tm-article-poll__answer-percent_winning\">             57.14%           <\/span> <span class=\"tm-article-poll__answer-label\">\u0414\u0440\u0443\u0433\u043e\u0439<\/span> <span class=\"tm-article-poll__answer-votes\">             4           <\/span><\/div>\n<div class=\"tm-article-poll__answer-bar\">\n<div class=\"tm-article-poll__answer-progress tm-article-poll__answer-progress_winning\" style=\"width:57.14%;\"><\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"tm-article-poll__stats\">        \u041f\u0440\u043e\u0433\u043e\u043b\u043e\u0441\u043e\u0432\u0430\u043b\u0438 7 \u043f\u043e\u043b\u044c\u0437\u043e\u0432\u0430\u0442\u0435\u043b\u0435\u0439.          \u0412\u043e\u0437\u0434\u0435\u0440\u0436\u0430\u043b\u0438\u0441\u044c 4 \u043f\u043e\u043b\u044c\u0437\u043e\u0432\u0430\u0442\u0435\u043b\u044f.      <\/div>\n<\/div>\n<p> \u0441\u0441\u044b\u043b\u043a\u0430 \u043d\u0430 \u043e\u0440\u0438\u0433\u0438\u043d\u0430\u043b \u0441\u0442\u0430\u0442\u044c\u0438 <a href=\"https:\/\/habr.com\/ru\/post\/708810\/\"> https:\/\/habr.com\/ru\/post\/708810\/<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<div><\/div>\n<div id=\"post-content-body\">\n<div>\n<div class=\"article-formatted-body article-formatted-body article-formatted-body_version-2\">\n<div xmlns=\"http:\/\/www.w3.org\/1999\/xhtml\">\n<p>\u0414\u0440\u0443\u0433\u0438\u043c\u0438 \u0441\u043b\u043e\u0432\u0430\u043c\u0438 \u043c\u044b \u0438\u043c\u0435\u0435\u043c \u0447\u0430\u0441\u0442\u043d\u044b\u0439 \u0441\u043b\u0443\u0447\u0430\u0439 \u0437\u0430\u0434\u0430\u0447\u0438 \u043f\u043e \u0440\u0430\u0441\u043a\u0440\u043e\u044e \u043c\u0430\u0442\u0435\u0440\u0438\u0430\u043b\u0430. <\/p>\n<p>\u041d\u0435\u043c\u043d\u043e\u0433\u043e \u043f\u0440\u0435\u0434\u044b\u0441\u0442\u043e\u0440\u0438\u0438: \u0432 \u043e\u0434\u043d\u043e\u043c \u0438\u0437 \u0441\u0432\u043e\u0438\u0445 \u043f\u0440\u043e\u0435\u043a\u0442\u043e\u0432 \u0443 \u043c\u0435\u043d\u044f \u043f\u043e\u044f\u0432\u0438\u043b\u0430\u0441\u044c \u0437\u0430\u0434\u0430\u0447\u0430 \u043f\u043e \u0440\u0430\u0441\u0447\u0435\u0442\u0443 \u043d\u0435\u043e\u0431\u0445\u043e\u0434\u0438\u043c\u043e\u0433\u043e \u043a\u043e\u043b\u0438\u0447\u0435\u0441\u0442\u0432\u0430 \u043b\u0438\u0441\u0442\u043e\u0432 \u043c\u0435\u0442\u0430\u043b\u043b\u0430 \u0434\u043b\u044f \u043f\u0440\u043e\u0438\u0437\u0432\u043e\u0434\u0441\u0442\u0432\u0430 \u0434\u0435\u0442\u0430\u043b\u0435\u0439 \u043a\u0440\u0443\u0433\u043b\u043e\u0439 \u0444\u043e\u0440\u043c\u044b. \u0412 \u043c\u043e\u0435\u043c \u0441\u043b\u0443\u0447\u0430\u0435 \u044d\u0442\u043e \u043b\u0438\u0441\u0442\u044b \u043c\u0435\u0442\u0430\u043b\u043b\u0430 \u0441\u0442\u0430\u043d\u0434\u0430\u0440\u0442\u043d\u043e\u0433\u043e \u0433\u0430\u0431\u0430\u0440\u0438\u0442\u0430 6000&#215;1500 \u043c\u0438\u043b\u043b\u0438\u043c\u0435\u0442\u0440\u043e\u0432.  <\/p>\n<p>\u041f\u043e\u0438\u0441\u043a\u0430\u0432 \u0433\u043e\u0442\u043e\u0432\u044b\u0435 \u0440\u0435\u0448\u0435\u043d\u0438\u044f \u044d\u0442\u043e\u0439 \u0437\u0430\u0434\u0430\u0447\u0438, \u044f \u0440\u0435\u0448\u0438\u043b \u043d\u0430\u043f\u0438\u0441\u0430\u0442\u044c \u0441\u0432\u043e\u0439 \u0432\u0430\u0440\u0438\u0430\u043d\u0442.<\/p>\n<p>\u041d\u0435 \u0441\u0443\u0434\u0438\u0442\u0435 \u0441\u0442\u0440\u043e\u0433\u043e \u044d\u0442\u043e \u0432\u0441\u0435 \u0440\u043e\u0434\u0438\u043b\u043e\u0441\u044c \u0437\u0430 \u043d\u0435\u0441\u043a\u043e\u043b\u044c\u043a\u043e \u0447\u0430\u0441\u043e\u0432 \ud83d\ude42<\/p>\n<h2>\u041f\u043e\u0441\u0442\u0430\u043d\u043e\u0432\u043a\u0430 \u0437\u0430\u0434\u0430\u0447\u0438<\/h2>\n<p>\u041d\u0430\u0439\u0442\u0438 \u043d\u0430\u0438\u043c\u0435\u043d\u044c\u0448\u0435\u0435 \u043a\u043e\u043b\u0438\u0447\u0435\u0441\u0442\u0432\u043e \u043b\u0438\u0441\u0442\u043e\u0432 \u043c\u0435\u0442\u0430\u043b\u043b\u0430, \u0437\u0430\u0434\u0430\u043d\u043d\u043e\u0433\u043e \u0433\u0430\u0431\u0430\u0440\u0438\u0442\u0430 \u0434\u043b\u044f \u043f\u0440\u043e\u0438\u0437\u0432\u043e\u0434\u0441\u0442\u0432\u0430 \u0437\u0430\u0434\u0430\u043d\u043d\u043e\u0433\u043e \u0441\u043f\u0438\u0441\u043a\u0430 \u0434\u0435\u0442\u0430\u043b\u0435\u0439 \u043a\u0440\u0443\u0433\u043b\u043e\u0439 \u0444\u043e\u0440\u043c\u044b, \u0437\u0430\u0434\u0430\u043d\u043d\u044b\u0445 \u0441\u0432\u043e\u0438\u043c\u0438 \u0434\u0438\u0430\u043c\u0435\u0442\u0440\u0430\u043c\u0438.<\/p>\n<h2>\u041e\u043f\u0438\u0441\u0430\u043d\u0438\u0435 \u0430\u043b\u0433\u043e\u0440\u0438\u0442\u043c\u0430<\/h2>\n<p>\u0418\u0437 \u043f\u043e\u043b\u0443\u0447\u0435\u043d\u043d\u043e\u0433\u043e \u043d\u0430 \u0432\u0445\u043e\u0434\u0435 \u0441\u043b\u043e\u0432\u0430\u0440\u044f, \u0441\u043e\u0434\u0435\u0440\u0436\u0430\u0449\u0435\u0433\u043e \u0440\u0430\u0434\u0438\u0443\u0441\u044b \u043a\u0440\u0443\u0433\u043e\u0432 \u0438 \u0438\u0445 \u043a\u043e\u043b\u0438\u0447\u0435\u0441\u0442\u0432\u0430 \u043c\u044b \u0444\u043e\u0440\u043c\u0438\u0440\u0443\u0435\u043c \u043c\u0430\u0441\u0441\u0438\u0432, \u0432\u0438\u0434\u0430:<\/p>\n<pre><code class=\"python\"># \u0421\u043b\u043e\u0432\u0430\u0440\u044c \u043d\u0430 \u0432\u0445\u043e\u0434\u0435 \u043e\u0442 \u043f\u043e\u043b\u044c\u0437\u043e\u0432\u0430\u0442\u0435\u043b\u044f user_circles = {     830 : 1,     730 : 2,     490 : 4,     360 : 6,     280 : 8,     150 : 12,     100 : 16,     50 : 18, } # \u041c\u0430\u0441\u0441\u0438\u0432 \u0443\u043f\u043e\u0440\u044f\u0434\u043e\u0447\u0435\u043d\u043d\u044b\u0445 \u043f\u043e \u0443\u0431\u044b\u0432\u0430\u043d\u0438\u044e \u0440\u0430\u0434\u0438\u0443\u0441\u0430 \u043e\u0431\u044a\u0435\u043a\u0442\u043e\u0432-\u043a\u0440\u0443\u0433\u043e\u0432 self.circles = [   Circle(830),   Circle(730),   Circle(730),   Circle(490),   Circle(490),   Circle(490),   Circle(490),   ... ]<\/code><\/pre>\n<p>\u0414\u0430\u043b\u0435\u0435 \u043c\u044b \u0441\u043e\u0437\u0434\u0430\u0435\u043c \u043d\u043e\u0432\u044b\u0439 \u043b\u0438\u0441\u0442 (\u043f\u0440\u044f\u043c\u043e\u0443\u0433\u043e\u043b\u044c\u043d\u0438\u043a) \u0437\u0430\u0434\u0430\u043d\u043d\u044b\u0445 \u043f\u043e\u043b\u044c\u0437\u043e\u0432\u0430\u0442\u0435\u043b\u0435\u043c \u0440\u0430\u0437\u043c\u0435\u0440\u043e\u0432:<\/p>\n<pre><code class=\"python\">self.sheets.append(Sheet(self.sheet_w, self.sheet_h))<\/code><\/pre>\n<p>\u041e\u0440\u0433\u0430\u043d\u0438\u0437\u0443\u0435\u043c \u0446\u0438\u043a\u043b \u043f\u043e \u043c\u0430\u0441\u0441\u0438\u0432\u0443 \u0441 \u0443\u043f\u043e\u0440\u044f\u0434\u043e\u0447\u0435\u043d\u043d\u044b\u043c\u0438 \u043e\u0431\u044a\u0435\u043a\u0442\u0430\u043c\u0438-\u043a\u0440\u0443\u0433\u0430\u043c\u0438 \u0438 \u0434\u043b\u044f \u043a\u0430\u0436\u0434\u043e\u0433\u043e \u043a\u0440\u0443\u0433\u0430 \u0438\u0441\u043f\u043e\u043b\u044c\u0437\u0443\u0435\u043c \u043c\u0435\u0442\u043e\u0434 \u043f\u043e\u0438\u0441\u043a\u0430 \u043d\u0430\u0438\u043b\u0443\u0447\u0448\u0435\u0439 \u043a\u043e\u043e\u0440\u0434\u0438\u043d\u0430\u0442\u044b Y:<\/p>\n<pre><code class=\"python\">for i in self.circles:   i.cx, i.cy = self.find_best_packing_start_point(current_sheet, i)<\/code><\/pre>\n<p>\u0412\u043e\u0442 \u043d\u0435\u0431\u043e\u043b\u044c\u0448\u0430\u044f \u0438\u043b\u043b\u044e\u0441\u0442\u0440\u0430\u0446\u0438\u044f \u044d\u0442\u043e\u0433\u043e \u0430\u043b\u0433\u043e\u0440\u0438\u0442\u043c\u0430:<\/p>\n<figure class=\"full-width\"><figcaption>\u0414\u043b\u044f \u043a\u0430\u0436\u0434\u043e\u0433\u043e \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0435\u0433\u043e \u043a\u0440\u0443\u0433\u0430 \u0438\u0449\u0435\u0442\u0441\u044f \u043d\u0430\u0438\u043b\u0443\u0447\u0448\u0430\u044f \u043a\u043e\u043e\u0440\u0434\u0438\u043d\u0430\u0442\u0430 Y<\/figcaption><\/figure>\n<p>\u0415\u0441\u043b\u0438 \u043e\u0447\u0435\u0440\u0435\u0434\u043d\u043e\u0439 \u043a\u0440\u0443\u0433 \u0431\u044b\u043b \u0443\u0441\u043f\u0435\u0448\u043d\u043e \u043f\u043e\u043c\u0435\u0449\u0435\u043d \u043d\u0430 \u0442\u0435\u043a\u0443\u0449\u0438\u0439 \u043b\u0438\u0441\u0442 (\u043f\u0440\u044f\u043c\u043e\u0443\u0433\u043e\u043b\u044c\u043d\u0438\u043a) \u0442\u043e \u0438\u0437 \u0441\u043b\u043e\u0432\u0430\u0440\u044f \u043a\u0440\u0443\u0433\u043e\u0432, \u0437\u0430\u0434\u0430\u043d\u043d\u043e\u0433\u043e \u043f\u043e\u043b\u044c\u0437\u043e\u0432\u0430\u0442\u0435\u043b\u0435\u0439 \u0432\u044b\u0447\u0438\u0442\u0430\u0435\u0442\u0441\u044f \u043a\u0440\u0443\u0433 \u0434\u0430\u043d\u043d\u043e\u0433\u043e \u0440\u0430\u0434\u0438\u0443\u0441\u0430:<\/p>\n<pre><code class=\"python\">self.user_circles[i.r] -= 1<\/code><\/pre>\n<p>\u0415\u0441\u043b\u0438 \u0442\u0435\u043a\u0443\u0449\u0438\u0439 \u043a\u0440\u0443\u0433 \u043d\u0435 \u0432\u0445\u043e\u0434\u0438\u0442 \u0432 \u043b\u0438\u0441\u0442 (\u043f\u0440\u044f\u043c\u043e\u0443\u0433\u043e\u043b\u044c\u043d\u0438\u043a) \u043f\u043e \u0433\u0430\u0431\u0430\u0440\u0438\u0442\u0430\u043c, \u0442\u043e \u043e\u043d \u0434\u043e\u0431\u0430\u0432\u043b\u044f\u0435\u0442\u0441\u044f \u0432 \u043f\u0435\u0440\u0435\u043c\u0435\u043d\u043d\u0443\u044e:<\/p>\n<pre><code class=\"python\">self.circles_excluded[i.r] += 1<\/code><\/pre>\n<p>\u041a\u043e\u0433\u0434\u0430 \u0434\u043b\u044f \u0442\u0435\u043a\u0443\u0449\u0435\u0433\u043e \u043b\u0438\u0441\u0442\u0430 (\u043f\u0440\u044f\u043c\u043e\u0443\u0433\u043e\u043b\u044c\u043d\u0438\u043a\u0430) \u043c\u044b \u043f\u043e\u043f\u0440\u043e\u0431\u043e\u0432\u0430\u043b\u0438 \u0440\u0430\u0437\u043c\u0435\u0441\u0442\u0438\u0442\u044c \u0432\u0441\u0435 \u043a\u0440\u0443\u0433\u0438 \u0438\u0437 \u043c\u0430\u0441\u0441\u0438\u0432\u0430 <code>self.circles<\/code> \u043c\u044b \u0433\u0435\u043d\u0435\u0440\u0438\u0440\u0443\u0435\u043c \u0437\u0430\u043d\u043e\u0432\u043e \u043c\u0430\u0441\u0441\u0438\u0432 <code>self.circles<\/code> \u0438\u0437 \u043e\u0441\u0442\u0430\u0432\u0448\u0438\u0445\u0441\u044f \u0434\u043b\u044f \u0440\u0430\u0437\u043c\u0435\u0449\u0435\u043d\u0438\u044f \u043a\u0440\u0443\u0433\u043e\u0432:<\/p>\n<pre><code class=\"python\"># \u0423\u0431\u0438\u0440\u0430\u0435\u043c \u043a\u0440\u0443\u0433\u0438, \u043a\u043e\u0442\u043e\u0440\u044b\u0435 \u0443\u0436\u0435 \u0440\u0430\u0437\u043c\u0435\u0449\u0435\u043d\u044b   def clean_circles(self):     circles_cleaned = []     for i in self.user_circles.keys():       for k in range(self.user_circles[i]):         circles_cleaned.append(Circle(i))     self.circles = circles_cleaned<\/code><\/pre>\n<p>\u0414\u0430\u043b\u0435\u0435 \u043c\u044b \u0434\u043e\u0431\u0430\u0432\u043b\u044f\u0435\u043c \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0438\u0439 \u043b\u0438\u0441\u0442 \u0438 \u043f\u043e\u0432\u0442\u043e\u0440\u044f\u0435\u043c \u0430\u043b\u0433\u043e\u0440\u0438\u0442\u043c \u043f\u043e\u043a\u0430 \u043d\u0435 \u043e\u0441\u0442\u0430\u043d\u0435\u0442\u0441\u044f \u043a\u0440\u0443\u0433\u043e\u0432 \u0434\u043b\u044f \u0440\u0430\u0437\u043c\u0435\u0449\u0435\u043d\u0438\u044f.<\/p>\n<h2>\u0418\u0441\u0445\u043e\u0434\u043d\u044b\u0439 \u043a\u043e\u0434 \u043d\u0430 Python<\/h2>\n<pre><code class=\"python\">import svgwrite import math  class Sheet:    def __init__(self, w, h):     self.w = w     self.h = h     self.circles = []   class Circle:    def __init__(self, r, cx=None, cy=None):     self.cx = cx     self.cy = cy     self.r = r         @staticmethod   def two_circle_intersections(c1, c2):     x0, y0, r0 = c1.cx, c1.cy, c1.r     x1, y1, r1 = c2.cx, c2.cy, c2.r     d = math.sqrt((x1-x0)**2 + (y1-y0)**2)     if d > r0 + r1 :         return False     if d &lt; abs(r0-r1):         return False     if d == 0 and r0 == r1:         return False     else:       return True   class CirclePacking:    ACCURACY = 20 # \u041d\u0430 \u0441\u043a\u043e\u043b\u044c\u043a\u043e \u0447\u0430\u0441\u0442\u0435\u0439 \u0434\u0435\u043b\u0438\u043c \u0432\u044b\u0441\u043e\u0442\u0443 \u0434\u043b\u044f \u043f\u043e\u0438\u0441\u043a\u0430 \u043d\u0430\u0438\u043b\u0443\u0447\u0448\u0435\u0439 \u043f\u043e\u0437\u0438\u0446\u0438\u0438 \u043f\u043e \u0432\u0435\u0440\u0442\u0438\u043a\u0430\u043b\u0438 \u0434\u043b\u044f \u0442\u0435\u043a\u0443\u0449\u0435\u0433\u043e \u043a\u0440\u0443\u0433\u0430      def __init__(self, sheet_w, sheet_h, circles, cut_border):     self.sheet_w = sheet_w     self.sheet_h = sheet_h     self.user_circles = circles     self.circles = []     self.sheets = []     self.circles_excluded = {}     self.cut_border = cut_border     def create_circles_sorted(self):     self.circles = []     for i in reversed(sorted(self.user_circles.keys())):       for k in range(self.user_circles[i]):         self.circles.append(Circle(i))     # \u0423\u0431\u0438\u0440\u0430\u0435\u043c \u043a\u0440\u0443\u0433\u0438, \u043a\u043e\u0442\u043e\u0440\u044b\u0435 \u0443\u0436\u0435 \u0440\u0430\u0437\u043c\u0435\u0449\u0435\u043d\u044b   def clean_circles(self):     circles_cleaned = []     for i in self.user_circles.keys():       for k in range(self.user_circles[i]):         circles_cleaned.append(Circle(i))     self.circles = circles_cleaned     def packing(self):     self.create_circles_sorted()     while sum(self.user_circles.values()) > 0:       #print(self.user_circles, self.circles)       self.sheets.append(Sheet(self.sheet_w, self.sheet_h))       current_sheet = self.sheets[-1]       for i in self.circles:         i.cx, i.cy = self.find_best_packing_start_point(current_sheet, i)         if i.cx is None and i.cy is None:           if i.r not in self.circles_excluded:             self.circles_excluded[i.r] = 1           else:             self.circles_excluded[i.r] += 1           self.user_circles[i.r] -= 1         else:           # \u041f\u0440\u043e\u0432\u0435\u0440\u043a\u0430 \u0447\u0442\u043e \u043c\u044b \u043d\u0435 \u0432\u044b\u0448\u043b\u0438 \u0437\u0430 \u0434\u043b\u0438\u043d\u0443 \u043b\u0438\u0441\u0442\u0430           if i.cx > current_sheet.w - i.r - self.cut_border:             pass           else:             self.user_circles[i.r] -= 1             current_sheet.circles.append(i)       self.clean_circles()     # \u0418\u0449\u0435\u043c \u043d\u0430\u0438\u043b\u0443\u0447\u0448\u0443\u044e \u043f\u043e\u0437\u0438\u0446\u0438\u044e \u043f\u043e \u0432\u0435\u0440\u0442\u0438\u043a\u0430\u043b\u0438 \u0434\u043b\u044f \u0440\u0430\u0437\u043c\u0435\u0449\u0435\u043d\u0438\u044f \u043a\u0440\u0443\u0433\u0430    def find_best_packing_start_point(self, s, c):     try_results = {}     N = CirclePacking.ACCURACY     step = int((s.h -c.r) \/ N)     # \u0424\u043e\u0440\u043c\u0438\u0440\u0443\u0435\u043c \u043c\u0430\u0441\u0441\u0438\u0432 \u043a\u043e\u043e\u0440\u0434\u0438\u043d\u0430\u0442 \u043f\u043e \u0432\u0435\u0440\u0442\u0438\u043a\u0430\u043b\u0438 \u0434\u043b\u044f \u043f\u043e\u043f\u044b\u0442\u043e\u043a     try_y = [c.r, s.h-c.r, s.h\/2]     for i in range(int((s.h - c.r) \/ step)):       try_y.append(c.r + step * i)     # \u041f\u0440\u043e\u0431\u0443\u0435\u043c \u0432\u0441\u0435 \u043a\u043e\u043e\u0440\u0434\u0438\u043d\u0430\u0442\u044b \u0438\u0437 \u043c\u0430\u0441\u0441\u0438\u0432\u0430 \u043f\u043e\u043f\u044b\u0442\u043e\u043a     for i in try_y:       c.cx = s.w + c.r       c.cy = i       self.move_circle(s, c)       # \u041f\u0440\u043e\u0432\u0435\u0440\u044f\u0435\u043c \u0447\u0442\u043e \u043c\u044b \u0432\u043e\u0448\u043b\u0438 \u043d\u0430 \u043b\u0438\u0441\u0442       if c.cy >= c.r + self.cut_border and c.cy &lt;= s.h - c.r - self.cut_border:         try_results[c.cx] = c.cy     if try_results == {}:       cx = cy = None     else:       cx = sorted(try_results.keys())[0]       cy = try_results[cx]     return cx, cy     def move_circle(self, s, c):     while c.cx > c.r + self.cut_border:       if self.check_intersections(s, c):         return       c.cx -= 1     def check_intersections(self, s, c):     for i in s.circles:       i.r += self.cut_border       if Circle.two_circle_intersections(i, c):         i.r -= self.cut_border         return True       i.r -= self.cut_border     return False     def draw_sheet_with_circles(self, sheet_idx, scale, filename):     sheet = self.sheets[sheet_idx]     w = sheet.w * scale     h = sheet.h * scale     border_x = 150 * scale     border_y = 150 * scale     svg = svgwrite.Drawing(filename = filename, size = (str(w+border_x*2)+'px', str(h+border_y*2)+'px'))     svg.add(svg.line(stroke='red', start=(str(0+border_x)+'px', str(0+border_y)+'px'), end=(str(w+border_x)+'px', str(0+border_y)+'px')))     svg.add(svg.line(stroke='red', start=(str(0+border_x)+'px', str(0+border_y)+'px'), end=(str(0+border_x)+'px', str(h+border_y)+'px')))     svg.add(svg.line(stroke='red', start=(str(0+border_x)+'px', str(h+border_y)+'px'), end=(str(w+border_x)+'px', str(h+border_y)+'px')))     line1 = svg.add(svg.line(stroke='red', start=(str(w+border_x)+'px', str(0+border_y)+'px'), end=(str(w+border_x)+'px', str(h+border_y)+'px')))     line1.dasharray([5, 10])     for i in sheet.circles:       cx = i.cx * scale       cy = i.cy * scale       r = i.r * scale       svg.add(svg.circle(center=(str(cx+border_x)+'px', str(cy+border_x)+'px'), r=str(r)+'px', stroke='black', fill='white', stroke_width=1))     svg.save()<\/code><\/pre>\n<h2>\u041f\u0440\u0438\u043c\u0435\u0440 \u0440\u0430\u0431\u043e\u0442\u044b \u0430\u043b\u0433\u043e\u0440\u0438\u0442\u043c\u0430<\/h2>\n<p>\u041d\u0438\u0436\u0435 \u043f\u0440\u0438\u0432\u0435\u0434\u0435\u043d \u043f\u0440\u0438\u043c\u0435\u0440 \u0440\u0430\u0431\u043e\u0442\u044b \u0430\u043b\u0433\u043e\u0440\u0438\u0442\u043c\u0430:<\/p>\n<pre><code class=\"python\">circles = {     830 : 1,     730 : 2,     490 : 4,     360 : 6,     280 : 8,     150 : 12,     100 : 16,     50 : 18, }  cp = CirclePacking(sheet_w=6000, sheet_h=1500, circles=circles, cut_border=20) cp.packing()<\/code><\/pre>\n<figure class=\"full-width\"><figcaption>\u041f\u0440\u0438\u043c\u0435\u0440 \u0443\u043f\u0430\u043a\u043e\u0432\u043a\u0438 \u043a\u0440\u0443\u0433\u043e\u0432 \u043d\u0430 \u043b\u0438\u0441\u0442\u044b (\u043f\u0440\u044f\u043c\u043e\u0443\u0433\u043e\u043b\u044c\u043d\u0438\u043a\u0438)<\/figcaption><\/figure>\n<p>\u041e\u0431\u0440\u0430\u0442\u0438\u0442\u0435 \u0432\u043d\u0438\u043c\u0430\u043d\u0438\u0435 \u043d\u0430 \u0442\u043e, \u0447\u0442\u043e \u043a\u0440\u0443\u0433 \u0441 \u0440\u0430\u0434\u0438\u0443\u0441\u043e\u043c 830 \u043d\u0435 \u0432\u043e\u0448\u0435\u043b \u043d\u0430 \u043b\u0438\u0441\u0442\u044b 6000&#215;1500 \u0438 \u043e\u043d \u043f\u043e\u043c\u0435\u0449\u0435\u043d \u0432 \u0430\u0442\u0440\u0438\u0431\u0443\u0442: cp.circles_excluded:<\/p>\n<pre><code class=\"python\">cp.circles_excluded #  {830: 1}<\/code><\/pre>\n<h2>\u041e\u0441\u0442\u0430\u0432\u0448\u0438\u0435\u0441\u044f \u0432\u043e\u043f\u0440\u043e\u0441\u044b:<\/h2>\n<ul>\n<li>\n<p>\u041a\u0430\u043a \u0443\u0441\u043a\u043e\u0440\u0438\u0442\u044c \u0440\u0430\u0431\u043e\u0442\u0443 \u0430\u043b\u0433\u043e\u0440\u0438\u0442\u043c\u0430 \u043d\u0435 \u0432\u044b\u0445\u043e\u0434\u044f \u0437\u0430 \u0432\u043e\u0437\u043c\u043e\u0436\u043d\u043e\u0441\u0442\u0438 \u0441\u0442\u0430\u043d\u0434\u0430\u0440\u0442\u043d\u043e\u0433\u043e Python (\u043d\u0435 \u0438\u0441\u043f\u043e\u043b\u044c\u0437\u043e\u0432\u0430\u0442\u044c \u0431\u0438\u0431\u043b\u0438\u043e\u0442\u0435\u043a\u0438 \u0443\u0441\u043a\u043e\u0440\u0435\u043d\u0438\u044f \u043a\u043e\u0434\u0430 Python)?<\/p>\n<\/li>\n<li>\n<p>\u041a\u0430\u043a \u0435\u0449\u0435 \u043f\u043e\u0432\u044b\u0441\u0438\u0442\u044c \u043f\u043b\u043e\u0442\u043d\u043e\u0441\u0442\u044c \u0437\u0430\u043f\u043e\u043b\u043d\u0435\u043d\u0438\u044f \u043b\u0438\u0441\u0442\u043e\u0432?<\/p>\n<\/li>\n<\/ul>\n<h2>\u0421\u0441\u044b\u043b\u043a\u0438<\/h2>\n<p>Github: <a href=\"https:\/\/github.com\/tau15\/python_circle_packing_in_rectangle\" rel=\"noopener noreferrer nofollow\">https:\/\/github.com\/tau15\/python_circle_packing_in_rectangle<\/a><\/p>\n<p>Google Colab: <a href=\"https:\/\/colab.research.google.com\/drive\/1e-RoNHStyqdyROZNPHga_vvrIKyRy3ZR?usp=sharing\" rel=\"noopener noreferrer nofollow\">https:\/\/colab.research.google.com\/drive\/1e-RoNHStyqdyROZNPHga_vvrIKyRy3ZR?usp=sharing<\/a><\/p>\n<p>\u0412\u043e\u043f\u0440\u043e\u0441\u044b \u0438 \u043f\u0440\u0435\u0434\u043b\u043e\u0436\u0435\u043d\u0438\u044f \u043d\u0430 \u0430\u043b\u0433\u043e\u0440\u0438\u0442\u043c\u0443 \u043f\u0438\u0448\u0438\u0442\u0435 \u043c\u043d\u0435: <a class=\"mention\" href=\"\/users\/tau15\">@TAU15<\/a><\/p>\n<\/p>\n<\/div>\n<\/div>\n<\/div>\n<p> <!----> <!----><\/div>\n<p> <!----> <\/p>\n<div class=\"tm-article-poll\">\n<div class=\"tm-notice tm-article-poll__notice tm-notice_positive\"><!----> <\/p>\n<div class=\"tm-notice__inner\"><!----> <\/p>\n<div class=\"tm-notice__content\"><span>\u0422\u043e\u043b\u044c\u043a\u043e \u0437\u0430\u0440\u0435\u0433\u0438\u0441\u0442\u0440\u0438\u0440\u043e\u0432\u0430\u043d\u043d\u044b\u0435 \u043f\u043e\u043b\u044c\u0437\u043e\u0432\u0430\u0442\u0435\u043b\u0438 \u043c\u043e\u0433\u0443\u0442 \u0443\u0447\u0430\u0441\u0442\u0432\u043e\u0432\u0430\u0442\u044c \u0432 \u043e\u043f\u0440\u043e\u0441\u0435. <a rel=\"nofollow\" href=\"\/kek\/v1\/auth\/habrahabr\/?back=\/ru\/post\/708810\/&#038;hl=ru\">\u0412\u043e\u0439\u0434\u0438\u0442\u0435<\/a>, \u043f\u043e\u0436\u0430\u043b\u0443\u0439\u0441\u0442\u0430.<\/span><\/div>\n<\/div>\n<\/div>\n<div class=\"tm-article-poll__header\">\u0410 \u043d\u0430 \u043a\u0430\u043a\u043e\u043c \u0431\u044b \u044f\u0437\u044b\u043a\u0435 \u0412\u044b \u0441\u0442\u0430\u043b\u0438 \u0440\u0435\u0448\u0430\u0442\u044c \u043f\u043e\u0434\u043e\u0431\u043d\u0443\u044e \u0437\u0430\u0434\u0430\u0447\u0443?<\/div>\n<div class=\"tm-article-poll__answers\">\n<div class=\"tm-article-poll__answer\">\n<div class=\"tm-article-poll__answer-data\"><span class=\"tm-article-poll__answer-percent\">             28.57%           <\/span> <span class=\"tm-article-poll__answer-label\">Python<\/span> <span class=\"tm-article-poll__answer-votes\">             2           <\/span><\/div>\n<div class=\"tm-article-poll__answer-bar\">\n<div class=\"tm-article-poll__answer-progress\" style=\"width:28.57%;\"><\/div>\n<\/div>\n<\/div>\n<div class=\"tm-article-poll__answer\">\n<div class=\"tm-article-poll__answer-data\"><span class=\"tm-article-poll__answer-percent\">             14.29%           <\/span> <span class=\"tm-article-poll__answer-label\">Java<\/span> <span class=\"tm-article-poll__answer-votes\">             1           <\/span><\/div>\n<div class=\"tm-article-poll__answer-bar\">\n<div class=\"tm-article-poll__answer-progress\" style=\"width:14.29%;\"><\/div>\n<\/div>\n<\/div>\n<div class=\"tm-article-poll__answer\">\n<div class=\"tm-article-poll__answer-data\"><span class=\"tm-article-poll__answer-percent\">             0%           <\/span> <span class=\"tm-article-poll__answer-label\">C\/\u0421++<\/span> <span class=\"tm-article-poll__answer-votes\">             0           <\/span><\/div>\n<div class=\"tm-article-poll__answer-bar\">\n<div class=\"tm-article-poll__answer-progress\" style=\"width:0%;\"><\/div>\n<\/div>\n<\/div>\n<div class=\"tm-article-poll__answer\">\n<div class=\"tm-article-poll__answer-data\"><span class=\"tm-article-poll__answer-percent\">             0%           <\/span> <span class=\"tm-article-poll__answer-label\">C#<\/span> <span class=\"tm-article-poll__answer-votes\">             0           <\/span><\/div>\n<div class=\"tm-article-poll__answer-bar\">\n<div class=\"tm-article-poll__answer-progress\" style=\"width:0%;\"><\/div>\n<\/div>\n<\/div>\n<div class=\"tm-article-poll__answer\">\n<div class=\"tm-article-poll__answer-data\"><span class=\"tm-article-poll__answer-percent\">             0%           <\/span> <span class=\"tm-article-poll__answer-label\">Haskell<\/span> <span class=\"tm-article-poll__answer-votes\">             0           <\/span><\/div>\n<div class=\"tm-article-poll__answer-bar\">\n<div class=\"tm-article-poll__answer-progress\" style=\"width:0%;\"><\/div>\n<\/div>\n<\/div>\n<div class=\"tm-article-poll__answer\">\n<div class=\"tm-article-poll__answer-data\"><span class=\"tm-article-poll__answer-percent\">             0%           <\/span> <span class=\"tm-article-poll__answer-label\">Go<\/span> <span class=\"tm-article-poll__answer-votes\">             0           <\/span><\/div>\n<div class=\"tm-article-poll__answer-bar\">\n<div class=\"tm-article-poll__answer-progress\" style=\"width:0%;\"><\/div>\n<\/div>\n<\/div>\n<div class=\"tm-article-poll__answer\">\n<div class=\"tm-article-poll__answer-data\"><span class=\"tm-article-poll__answer-percent tm-article-poll__answer-percent_winning\">             57.14%           <\/span> <span class=\"tm-article-poll__answer-label\">\u0414\u0440\u0443\u0433\u043e\u0439<\/span> <span class=\"tm-article-poll__answer-votes\">             4           <\/span><\/div>\n<div class=\"tm-article-poll__answer-bar\">\n<div class=\"tm-article-poll__answer-progress tm-article-poll__answer-progress_winning\" style=\"width:57.14%;\"><\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"tm-article-poll__stats\">        \u041f\u0440\u043e\u0433\u043e\u043b\u043e\u0441\u043e\u0432\u0430\u043b\u0438 7 \u043f\u043e\u043b\u044c\u0437\u043e\u0432\u0430\u0442\u0435\u043b\u0435\u0439.          \u0412\u043e\u0437\u0434\u0435\u0440\u0436\u0430\u043b\u0438\u0441\u044c 4 \u043f\u043e\u043b\u044c\u0437\u043e\u0432\u0430\u0442\u0435\u043b\u044f.      <\/div>\n<\/div>\n<p> \u0441\u0441\u044b\u043b\u043a\u0430 \u043d\u0430 \u043e\u0440\u0438\u0433\u0438\u043d\u0430\u043b \u0441\u0442\u0430\u0442\u044c\u0438 <a href=\"https:\/\/habr.com\/ru\/post\/708810\/\"> https:\/\/habr.com\/ru\/post\/708810\/<\/a><br \/><\/br><\/br><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[],"tags":[],"class_list":["post-345251","post","type-post","status-publish","format-standard","hentry"],"_links":{"self":[{"href":"https:\/\/savepearlharbor.com\/index.php?rest_route=\/wp\/v2\/posts\/345251","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/savepearlharbor.com\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/savepearlharbor.com\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/savepearlharbor.com\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/savepearlharbor.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=345251"}],"version-history":[{"count":0,"href":"https:\/\/savepearlharbor.com\/index.php?rest_route=\/wp\/v2\/posts\/345251\/revisions"}],"wp:attachment":[{"href":"https:\/\/savepearlharbor.com\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=345251"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/savepearlharbor.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=345251"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/savepearlharbor.com\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=345251"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}