{"id":93078,"date":"2025-07-04T21:00:49","date_gmt":"2025-07-04T18:00:49","guid":{"rendered":"https:\/\/www.bluepoint.bg\/?page_id=93078"},"modified":"2026-06-05T17:07:44","modified_gmt":"2026-06-05T14:07:44","slug":"margin-of-error-calculator","status":"publish","type":"page","link":"https:\/\/www.bluepoint.bg\/en\/margin-of-error-calculator\/","title":{"rendered":"BluePoint Margin of Error Calculator"},"content":{"rendered":"\t\t<div data-elementor-type=\"wp-page\" data-elementor-id=\"93078\" class=\"elementor elementor-93078\" data-elementor-post-type=\"page\">\n\t\t\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-9522926 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"9522926\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-1990ce8\" data-id=\"1990ce8\" data-element_type=\"column\" data-e-type=\"column\" data-settings=\"{&quot;background_background&quot;:&quot;classic&quot;}\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-f47b1ef elementor-widget elementor-widget-breadcrumbs\" data-id=\"f47b1ef\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"breadcrumbs.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<p id=\"breadcrumbs\"><span><span><a href=\"https:\/\/www.bluepoint.bg\/\">\u041d\u0430\u0447\u0430\u043b\u043e<\/a><\/span><\/span><\/p>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<section class=\"elementor-section elementor-inner-section elementor-element elementor-element-b46a84c elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"b46a84c\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-wider\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-inner-column elementor-element elementor-element-9956786\" data-id=\"9956786\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-7cf4bca elementor-widget__width-initial elementor-widget elementor-widget-heading\" data-id=\"7cf4bca\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h3 class=\"elementor-heading-title elementor-size-default\">\u041a\u0430\u043b\u043a\u0443\u043b\u0430\u0442\u043e\u0440 \u0437\u0430 \u0441\u0442\u0430\u0442\u0438\u0441\u0442\u0438\u0447\u0435\u0441\u043a\u0430 \u0433\u0440\u0435\u0448\u043a\u0430<\/h3>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-9bde92f elementor-widget elementor-widget-spacer\" data-id=\"9bde92f\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"spacer.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<div class=\"elementor-spacer\">\n\t\t\t<div class=\"elementor-spacer-inner\"><\/div>\n\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-8a9586d elementor-button-align-center elementor-widget elementor-widget-form\" data-id=\"8a9586d\" data-element_type=\"widget\" data-e-type=\"widget\" data-settings=\"{&quot;step_next_label&quot;:&quot;Next&quot;,&quot;step_previous_label&quot;:&quot;Previous&quot;,&quot;step_type&quot;:&quot;number_text&quot;,&quot;step_icon_shape&quot;:&quot;circle&quot;}\" data-widget_type=\"form.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<form class=\"elementor-form\" method=\"post\" name=\"PanelistiForm\" aria-label=\"PanelistiForm\">\n\t\t\t<input type=\"hidden\" name=\"post_id\" value=\"93078\"\/>\n\t\t\t<input type=\"hidden\" name=\"form_id\" value=\"8a9586d\"\/>\n\t\t\t<input type=\"hidden\" name=\"referer_title\" value=\"BluePoint\" \/>\n\n\t\t\t\n\t\t\t<div class=\"elementor-form-fields-wrapper elementor-labels-above\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-field-type-select elementor-field-group elementor-column elementor-field-group-confidenceLevel elementor-col-50 elementor-field-required elementor-mark-required\">\n\t\t\t\t\t\t\t\t\t\t\t\t<label for=\"form-field-confidenceLevel\" class=\"elementor-field-label\">\n\t\t\t\t\t\t\t\tConfidence Interval\t\t\t\t\t\t\t<\/label>\n\t\t\t\t\t\t\t\t<div class=\"elementor-field elementor-select-wrapper remove-before \">\n\t\t\t<div class=\"select-caret-down-wrapper\">\n\t\t\t\t<i aria-hidden=\"true\" class=\"eicon-caret-down\"><\/i>\t\t\t<\/div>\n\t\t\t<select name=\"form_fields[confidenceLevel]\" id=\"form-field-confidenceLevel\" class=\"elementor-field-textual elementor-size-md\" required=\"required\">\n\t\t\t\t\t\t\t\t\t<option value=\"1.6448\">90%<\/option>\n\t\t\t\t\t\t\t\t\t<option value=\"1.9599\" selected=\"selected\">95%<\/option>\n\t\t\t\t\t\t\t\t\t<option value=\"2.575\">99%<\/option>\n\t\t\t\t\t\t\t<\/select>\n\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<div class=\"elementor-field-type-text elementor-field-group elementor-column elementor-field-group-sampleSize elementor-col-50 elementor-field-required elementor-mark-required\">\n\t\t\t\t\t\t\t\t\t\t\t\t<label for=\"form-field-sampleSize\" class=\"elementor-field-label\">\n\t\t\t\t\t\t\t\tSample Size\t\t\t\t\t\t\t<\/label>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t<input size=\"1\" type=\"text\" name=\"form_fields[sampleSize]\" id=\"form-field-sampleSize\" class=\"elementor-field elementor-size-md  elementor-field-textual\" value=\"100\" required=\"required\">\n\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<div class=\"elementor-field-type-number elementor-field-group elementor-column elementor-field-group-proportionPercentage elementor-col-50 elementor-field-required elementor-mark-required\">\n\t\t\t\t\t\t\t\t\t\t\t\t<label for=\"form-field-proportionPercentage\" class=\"elementor-field-label\">\n\t\t\t\t\t\t\t\tProportion Percentage\t\t\t\t\t\t\t<\/label>\n\t\t\t\t\t\t\t\t\t<input type=\"number\" name=\"form_fields[proportionPercentage]\" id=\"form-field-proportionPercentage\" class=\"elementor-field elementor-size-md  elementor-field-textual\" value=\"50\" required=\"required\" min=\"0\" max=\"50\" >\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<div class=\"elementor-field-type-text elementor-field-group elementor-column elementor-field-group-populationSize elementor-col-50 elementor-field-required elementor-mark-required\">\n\t\t\t\t\t\t\t\t\t\t\t\t<label for=\"form-field-populationSize\" class=\"elementor-field-label\">\n\t\t\t\t\t\t\t\tPopulation Size\t\t\t\t\t\t\t<\/label>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t<input size=\"1\" type=\"text\" name=\"form_fields[populationSize]\" id=\"form-field-populationSize\" class=\"elementor-field elementor-size-md  elementor-field-textual\" value=\"10000\" required=\"required\">\n\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<div class=\"elementor-field-type-text elementor-field-group elementor-column elementor-field-group-marginOfError elementor-col-100\">\n\t\t\t\t\t\t\t\t\t\t\t\t<label for=\"form-field-marginOfError\" class=\"elementor-field-label\">\n\t\t\t\t\t\t\t\tMargin of Error\t\t\t\t\t\t\t<\/label>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t<input size=\"1\" type=\"text\" name=\"form_fields[marginOfError]\" id=\"form-field-marginOfError\" class=\"elementor-field elementor-size-md  elementor-field-textual\">\n\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<div class=\"elementor-field-group elementor-column elementor-field-type-submit elementor-col-100 e-form__buttons\">\n\t\t\t\t\t<button class=\"elementor-button elementor-size-xs\" type=\"submit\" id=\"fb\">\n\t\t\t\t\t\t<span class=\"elementor-button-content-wrapper\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/span>\n\t\t\t\t\t<\/button>\n\t\t\t\t<\/div>\n\t\t\t<\/div>\n\t\t<\/form>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-b92adda elementor-widget__width-initial elementor-widget elementor-widget-heading\" data-id=\"b92adda\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<p class=\"elementor-heading-title elementor-size-default\"><br><b>confidence interval (\u0434\u043e\u0432\u0435\u0440\u0438\u0442\u0435\u043b\u0435\u043d \u0438\u043d\u0442\u0435\u0440\u0432\u0430\u043b)-&nbsp; <\/b><i>\u043d\u0430\u0439- \u0447\u0435\u0441\u0442\u043e 95%;<\/i><b> <\/b>\u043f\u043e\u043a\u0430\u0437\u0432\u0430 \u0434\u0438\u0430\u043f\u0430\u0437\u043e\u043d\u0430, \u0432 \u043a\u043e\u0439\u0442\u043e \u0441 \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0430 \u0441\u0442\u0435\u043f\u0435\u043d \u043d\u0430 \u0441\u0438\u0433\u0443\u0440\u043d\u043e\u0441\u0442 \u043e\u0447\u0430\u043a\u0432\u0430\u043c\u0435 \u0434\u0430 \u043f\u043e\u043f\u0430\u0434\u043d\u0435 \u0438\u0441\u0442\u0438\u043d\u0441\u043a\u0430\u0442\u0430 \u0441\u0442\u043e\u0439\u043d\u043e\u0441\u0442 \u043d\u0430 \u0433\u0435\u043d\u0435\u0440\u0430\u043b\u043d\u0430\u0442\u0430 \u0441\u044a\u0432\u043a\u0443\u043f\u043d\u043e\u0441\u0442<div><b><br><\/b><div><b>sample size (\u0433\u043e\u043b\u0435\u043c\u0438\u043d\u0430 \u043d\u0430 \u0438\u0437\u0432\u0430\u0434\u043a\u0430\u0442\u0430) - <\/b>\u0431\u0440\u043e\u0439 \u0434\u0443\u0448\u0438 \u0438\u043b\u0438 \u0435\u0434\u0438\u043d\u0438\u0446\u0438, \u043a\u043e\u0438\u0442\u043e \u0441\u0430 \u0432\u043a\u043b\u044e\u0447\u0435\u043d\u0438 \u0432 \u043f\u0440\u043e\u0443\u0447\u0432\u0430\u043d\u0435\u0442\u043e<\/div><div><b><br><\/b><\/div><b>proportion percentage (\u043f\u0440\u043e\u0446\u0435\u043d\u0442\u043d\u043e \u0440\u0430\u0437\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\u0435) - <\/b>\u043f\u043e\u043a\u0430\u0437\u0432\u0430 \u043a\u043e\u043b\u043a\u043e \u043f\u0440\u043e\u0446\u0435\u043d\u0442\u0430 \u043e\u0442 \u0445\u043e\u0440\u0430\u0442\u0430 \u0438\u043b\u0438 \u043e\u0431\u0435\u043a\u0442\u0438\u0442\u0435 \u0432 \u0434\u0430\u0434\u0435\u043d\u0430 \u0438\u0437\u0432\u0430\u0434\u043a\u0430 \u043f\u043e\u043f\u0430\u0434\u0430\u0442 \u0432 \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0430 \u043a\u0430\u0442\u0435\u0433\u043e\u0440\u0438\u044f<br><b><br><\/b><div><b>population size (\u0433\u0435\u043d\u0435\u0440\u0430\u043b\u043d\u0430 \u0441\u044a\u0432\u043a\u0443\u043f\u043d\u043e\u0441\u0442) - <\/b>\u0446\u044f\u043b\u0430\u0442\u0430 \u0433\u0440\u0443\u043f\u0430, \u043a\u043e\u044f\u0442\u043e \u0438\u0441\u043a\u0430\u043c\u0435 \u0434\u0430 \u0438\u0437\u0441\u043b\u0435\u0434\u0432\u0430\u043c\u0435<br><b><br><\/b><div><b>margin of error (\u0441\u0442\u0430\u0442\u0438\u0441\u0442\u0438\u0447\u0435\u0441\u043a\u0430 \u0433\u0440\u0435\u0448\u043a\u0430) - <\/b>\u043f\u043e\u043a\u0430\u0437\u0432\u0430 \u043a\u043e\u043b\u043a\u043e \"\u0441\u0438\u0433\u0443\u0440\u043d\u0438\" \u043c\u043e\u0436\u0435\u043c \u0434\u0430 \u0431\u044a\u0434\u0435\u043c, \u0447\u0435 \u0440\u0435\u0437\u0443\u043b\u0442\u0430\u0442\u0438\u0442\u0435 \u043e\u0442 \u0438\u0437\u0432\u0430\u0434\u043a\u0430\u0442\u0430 \u043e\u0442\u0440\u0430\u0437\u044f\u0432\u0430\u0442 \u0432\u044f\u0440\u043d\u043e \u043c\u043d\u0435\u043d\u0438\u0435\u0442\u043e \u0438\u043b\u0438 \u0445\u0430\u0440\u0430\u043a\u0442\u0435\u0440\u0438\u0441\u0442\u0438\u043a\u0438\u0442\u0435 \u043d\u0430 \u0446\u044f\u043b\u0430\u0442\u0430 \u043f\u043e\u043f\u0443\u043b\u0430\u0446\u0438\u044f.<\/div><div><br><\/div><div><i>\u0410\u043a\u043e \u043a\u0430\u0436\u0435\u043c, \u0447\u0435 \u0440\u0435\u0437\u0443\u043b\u0442\u0430\u0442\u044a\u0442 \u043d\u0430 \u0435\u0434\u043d\u043e \u043f\u0440\u043e\u0443\u0447\u0432\u0430\u043d\u0435 \u043f\u043e\u043a\u0430\u0437\u0432\u0430, \u0447\u0435 50% \u043e\u0431\u0438\u0447\u0430\u0442 \u0431\u0438\u0440\u0430 \u0438 \u043f\u0440\u043e\u0443\u0447\u0432\u0430\u043d\u0435\u0442\u043e \u0435 \u0441 \u0434\u043e\u0432\u0435\u0440\u0438\u0442\u0435\u043b\u0435\u043d \u0438\u043d\u0442\u0435\u0440\u0432\u0430\u043b 95% \u0438 \u0441\u0442\u0430\u0442\u0438\u0441\u0442\u0438\u0447\u0435\u0441\u043a\u0430 \u0433\u0440\u0435\u0448\u043a\u0430 \u00b15%, \u0442\u043e\u0432\u0430 \u043e\u0437\u043d\u0430\u0447\u0430\u0432\u0430, \u0447\u0435 \u0441\u043c\u0435 95% \u0441\u0438\u0433\u0443\u0440\u043d\u0438, \u0447\u0435 \u0438\u0441\u0442\u0438\u043d\u0441\u043a\u0430\u0442\u0430 \u0441\u0442\u043e\u0439\u043d\u043e\u0441\u0442 \u043d\u0430 \u0442\u0435\u0437\u0438, \u043a\u043e\u0438\u0442\u043e \u043e\u0431\u0438\u0447\u0430\u0442 \u0431\u0438\u0440\u0430 \u0435 \u043c\u0435\u0436\u0434\u0443 45% \u0438 55%.<\/i><span style=\"font-family: var( --e-global-typography-el_content_1-font-family ), Sans-serif;font-size: var( --e-global-typography-el_content_1-font-size );font-style: var( --e-global-typography-el_content_1-font-style );letter-spacing: var( --e-global-typography-el_content_1-letter-spacing );text-transform: var( --e-global-typography-el_content_1-text-transform );word-spacing: var( --e-global-typography-el_content_1-word-spacing );text-decoration: var(--the7-base-text-decoration)\"><\/span><\/div><\/div><\/div><\/p>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-74dc2f2 elementor-widget elementor-widget-html\" data-id=\"74dc2f2\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"html.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<script>\n            document.addEventListener(\"DOMContentLoaded\", function () {\n              function calculateSS() {\n                var confidenceLevel = document.getElementById(\"form-field-confidenceLevel\").value;\n                var sampleSize = document.getElementById(\"form-field-sampleSize\").value;\n                var proportionPercentage = document.getElementById(\"form-field-proportionPercentage\").value;\n                var populationSize = document.getElementById(\"form-field-populationSize\").value;\n\n                var per = proportionPercentage \/ 100;\n                var noTop = sampleSize;\n                var p = Math.sqrt((1 - per) * per);\n                var noBottom = populationSize;\n                var no = noBottom - noTop;\n\n                var marginOfError = (\n                  confidenceLevel *\n                  (p \/ Math.sqrt(((noBottom - 1) * noTop) \/ no)) *\n                  100\n                ).toFixed(1);\n\n                document.getElementById(\"form-field-marginOfError\").value = marginOfError + \"%\";\n              }\n\n              calculateSS();\n              document.getElementById(\"form-field-sampleSize\").addEventListener(\"change\", calculateSS);\n              document.getElementById(\"form-field-proportionPercentage\").addEventListener(\"change\", calculateSS);\n              document.getElementById(\"form-field-populationSize\").addEventListener(\"change\", calculateSS);\n              document.addEventListener(\"keyup\", calculateSS);\n            });\n          <\/script>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<\/div>\n\t\t","protected":false},"excerpt":{"rendered":"<p>\u041a\u0430\u043b\u043a\u0443\u043b\u0430\u0442\u043e\u0440 \u0437\u0430 \u0441\u0442\u0430\u0442\u0438\u0441\u0442\u0438\u0447\u0435\u0441\u043a\u0430 \u0433\u0440\u0435\u0448\u043a\u0430 confidence interval (\u0434\u043e\u0432\u0435\u0440\u0438\u0442\u0435\u043b\u0435\u043d \u0438\u043d\u0442\u0435\u0440\u0432\u0430\u043b)-&nbsp; \u043d\u0430\u0439- \u0447\u0435\u0441\u0442\u043e 95%; \u043f\u043e\u043a\u0430\u0437\u0432\u0430 \u0434\u0438\u0430\u043f\u0430\u0437\u043e\u043d\u0430, \u0432 \u043a\u043e\u0439\u0442\u043e \u0441 \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0430 \u0441\u0442\u0435\u043f\u0435\u043d \u043d\u0430 \u0441\u0438\u0433\u0443\u0440\u043d\u043e\u0441\u0442 \u043e\u0447\u0430\u043a\u0432\u0430\u043c\u0435 \u0434\u0430 \u043f\u043e\u043f\u0430\u0434\u043d\u0435 \u0438\u0441\u0442\u0438\u043d\u0441\u043a\u0430\u0442\u0430 \u0441\u0442\u043e\u0439\u043d\u043e\u0441\u0442 \u043d\u0430 \u0433\u0435\u043d\u0435\u0440\u0430\u043b\u043d\u0430\u0442\u0430 \u0441\u044a\u0432\u043a\u0443\u043f\u043d\u043e\u0441\u0442sample size (\u0433\u043e\u043b\u0435\u043c\u0438\u043d\u0430 \u043d\u0430 \u0438\u0437\u0432\u0430\u0434\u043a\u0430\u0442\u0430) &#8211; \u0431\u0440\u043e\u0439 \u0434\u0443\u0448\u0438 \u0438\u043b\u0438 \u0435\u0434\u0438\u043d\u0438\u0446\u0438, \u043a\u043e\u0438\u0442\u043e \u0441\u0430 \u0432\u043a\u043b\u044e\u0447\u0435\u043d\u0438 \u0432 \u043f\u0440\u043e\u0443\u0447\u0432\u0430\u043d\u0435\u0442\u043eproportion percentage (\u043f\u0440\u043e\u0446\u0435\u043d\u0442\u043d\u043e \u0440\u0430\u0437\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\u0435) &#8211; \u043f\u043e\u043a\u0430\u0437\u0432\u0430 \u043a\u043e\u043b\u043a\u043e \u043f\u0440\u043e\u0446\u0435\u043d\u0442\u0430 \u043e\u0442 \u0445\u043e\u0440\u0430\u0442\u0430 \u0438\u043b\u0438 \u043e\u0431\u0435\u043a\u0442\u0438\u0442\u0435 \u0432 \u0434\u0430\u0434\u0435\u043d\u0430&hellip;<\/p>","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"elementor_canvas","meta":{"footnotes":""},"class_list":["post-93078","page","type-page","status-publish","hentry"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v28.3 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>BluePoint Margin of Error Calculator - BluePoint<\/title>\n<meta name=\"description\" content=\"\u041f\u043e\u043f\u044a\u043b\u043d\u0435\u0442\u0435 \u0430\u043d\u043a\u0435\u0442\u0438\u0442\u0435 \u0438 \u043f\u0435\u0447\u0435\u043b\u0435\u0442\u0435 \u043d\u0430\u0433\u0440\u0430\u0434\u0438. \u0421\u043f\u043e\u0434\u0435\u043b\u044f\u0439\u0442\u0435 \u043c\u043d\u0435\u043d\u0438\u0435 \u0441\u0438 \u0438 \u0434\u0430 \u0432\u043b\u0438\u044f\u0435\u0442\u0435 \u043d\u0430 \u0440\u0435\u0448\u0435\u043d\u0438\u044f\u0442\u0430, 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