{"id":476870,"date":"2023-08-09T09:04:34","date_gmt":"2023-08-09T09:04:34","guid":{"rendered":""},"modified":"2023-09-05T11:13:36","modified_gmt":"2023-09-05T11:13:36","slug":"divide-and-conquer-algorithm","status":"publish","type":"wiki","link":"https:\/\/oneproxy.pro\/in\/wiki\/divide-and-conquer-algorithm\/","title":{"rendered":"\u092b\u0942\u091f \u0921\u093e\u0932\u094b \u0914\u0930 \u0930\u093e\u091c \u0915\u0930\u094b \u090f\u0932\u094d\u0917\u094b\u0930\u093f\u0925\u094d\u092e"},"content":{"rendered":"<p>\u0921\u093f\u0935\u093e\u0907\u0921 \u090f\u0902\u0921 \u0915\u0949\u0928\u0915\u0930 (\u0921\u0940 \u090f\u0902\u0921 \u0938\u0940) \u090f\u0915 \u092e\u0939\u0924\u094d\u0935\u092a\u0942\u0930\u094d\u0923 \u090f\u0932\u094d\u0917\u094b\u0930\u093f\u0925\u092e \u092a\u094d\u0930\u0924\u093f\u092e\u093e\u0928 \u0939\u0948 \u091c\u093f\u0938\u0915\u093e \u0915\u0902\u092a\u094d\u092f\u0942\u091f\u0930 \u0935\u093f\u091c\u094d\u091e\u093e\u0928 \u0914\u0930 \u0909\u0938\u0938\u0947 \u092a\u0930\u0947 \u0915\u0908 \u0924\u0930\u0939 \u0915\u0947 \u0905\u0928\u0941\u092a\u094d\u0930\u092f\u094b\u0917\u094b\u0902 \u092e\u0947\u0902 \u0909\u092a\u092f\u094b\u0917 \u0915\u093f\u092f\u093e \u091c\u093e\u0924\u093e \u0939\u0948\u0964 \u092f\u0939 \u090f\u0915 \u0938\u092e\u0938\u094d\u092f\u093e \u0915\u094b \u090f\u0915 \u0939\u0940 \u092f\u093e \u0938\u0902\u092c\u0902\u0927\u093f\u0924 \u092a\u094d\u0930\u0915\u093e\u0930 \u0915\u0940 \u0926\u094b \u092f\u093e \u0905\u0927\u093f\u0915 \u0909\u092a-\u0938\u092e\u0938\u094d\u092f\u093e\u0913\u0902 \u092e\u0947\u0902 \u092a\u0941\u0928\u0930\u093e\u0935\u0930\u094d\u0924\u0940 \u0930\u0942\u092a \u0938\u0947 \u0935\u093f\u092d\u093e\u091c\u093f\u0924 \u0915\u0930\u0915\u0947 \u0915\u093e\u092e \u0915\u0930\u0924\u093e \u0939\u0948, \u091c\u092c \u0924\u0915 \u0915\u093f \u092f\u0947 \u0938\u0940\u0927\u0947 \u0939\u0932 \u0915\u0930\u0928\u0947 \u0915\u0947 \u0932\u093f\u090f \u092a\u0930\u094d\u092f\u093e\u092a\u094d\u0924 \u0938\u0930\u0932 \u0928 \u0939\u094b \u091c\u093e\u090f\u0902\u0964 \u0909\u092a-\u0938\u092e\u0938\u094d\u092f\u093e\u0913\u0902 \u0915\u0947 \u0938\u092e\u093e\u0927\u093e\u0928\u094b\u0902 \u0915\u094b \u092b\u093f\u0930 \u092e\u0942\u0932 \u0938\u092e\u0938\u094d\u092f\u093e \u0915\u093e \u0938\u092e\u093e\u0927\u093e\u0928 \u0926\u0947\u0928\u0947 \u0915\u0947 \u0932\u093f\u090f \u0938\u0902\u092f\u094b\u091c\u093f\u0924 \u0915\u093f\u092f\u093e \u091c\u093e\u0924\u093e \u0939\u0948\u0964<\/p>\n<h2>\u092b\u0942\u091f \u0921\u093e\u0932\u094b \u0914\u0930 \u091c\u0940\u0924\u094b \u090f\u0932\u094d\u0917\u094b\u0930\u093f\u0925\u094d\u092e \u0915\u0940 \u0909\u0924\u094d\u092a\u0924\u094d\u0924\u093f \u0914\u0930 \u092a\u0939\u0932\u093e \u0909\u0932\u094d\u0932\u0947\u0916<\/h2>\n<p>\u092b\u0942\u091f \u0921\u093e\u0932\u094b \u0914\u0930 \u091c\u0940\u0924\u094b \u092a\u094d\u0930\u0924\u093f\u092e\u093e\u0928 \u0915\u0940 \u0909\u0924\u094d\u092a\u0924\u094d\u0924\u093f \u0915\u092e\u094d\u092a\u094d\u092f\u0942\u091f\u0947\u0936\u0928 \u0914\u0930 \u0917\u0923\u093f\u0924 \u0915\u0947 \u0907\u0924\u093f\u0939\u093e\u0938 \u092e\u0947\u0902 \u0917\u0939\u0930\u093e\u0908 \u0938\u0947 \u0928\u093f\u0939\u093f\u0924 \u0939\u0948\u0964 \u0938\u092e\u0938\u094d\u092f\u093e-\u0938\u092e\u093e\u0927\u093e\u0928 \u0915\u0947 \u0932\u093f\u090f \u092f\u0939 \u0926\u0943\u0937\u094d\u091f\u093f\u0915\u094b\u0923 \u092a\u094d\u0930\u093e\u091a\u0940\u0928 \u0915\u093e\u0932 \u0938\u0947 \u091a\u0932\u093e \u0906 \u0930\u0939\u093e \u0939\u0948, \u091c\u0939\u093e\u0901 \u0907\u0938\u0915\u093e \u0909\u092a\u092f\u094b\u0917 \u0930\u0923\u0928\u0940\u0924\u093f\u0915 \u0914\u0930 \u0917\u0923\u093f\u0924\u0940\u092f \u0938\u0902\u0926\u0930\u094d\u092d\u094b\u0902 \u092e\u0947\u0902 \u0915\u093f\u092f\u093e \u091c\u093e\u0924\u093e \u0925\u093e\u0964<\/p>\n<p>\u0939\u093e\u0932\u093e\u0901\u0915\u093f, \u0915\u0902\u092a\u094d\u092f\u0942\u091f\u0930 \u0935\u093f\u091c\u094d\u091e\u093e\u0928 \u092e\u0947\u0902, \u201c\u0935\u093f\u092d\u093e\u091c\u0928 \u0914\u0930 \u091c\u0940\u0924\u201d \u0936\u092c\u094d\u0926 20\u0935\u0940\u0902 \u0938\u0926\u0940 \u0915\u0947 \u092e\u0927\u094d\u092f \u092e\u0947\u0902 \u0909\u092d\u0930\u093e\u0964 \u0907\u0938\u0947 \u0915\u094d\u0935\u093f\u0915\u0938\u0949\u0930\u094d\u091f \u0914\u0930 \u092c\u093e\u0907\u0928\u0930\u0940 \u0938\u0930\u094d\u091a \u091c\u0948\u0938\u0947 \u0915\u0908 \u0936\u0941\u0930\u0941\u0906\u0924\u0940 \u0938\u0949\u0930\u094d\u091f\u093f\u0902\u0917 \u0914\u0930 \u0938\u0930\u094d\u091a \u090f\u0932\u094d\u0917\u094b\u0930\u093f\u0926\u092e \u092e\u0947\u0902 \u0907\u0938\u0915\u0947 \u0935\u094d\u092f\u093e\u092a\u0915 \u0909\u092a\u092f\u094b\u0917 \u0915\u0947 \u092e\u093e\u0927\u094d\u092f\u092e \u0938\u0947 \u0932\u094b\u0915\u092a\u094d\u0930\u093f\u092f \u092c\u0928\u093e\u092f\u093e \u0917\u092f\u093e \u0925\u093e\u0964 \u090f\u0915 \u0905\u0932\u0917 \u090f\u0932\u094d\u0917\u094b\u0930\u093f\u0925\u092e \u0930\u0923\u0928\u0940\u0924\u093f \u0915\u0947 \u0930\u0942\u092a \u092e\u0947\u0902 \u201c\u0935\u093f\u092d\u093e\u091c\u0928 \u0914\u0930 \u091c\u0940\u0924\u201d \u0915\u0940 \u0914\u092a\u091a\u093e\u0930\u093f\u0915 \u092e\u093e\u0928\u094d\u092f\u0924\u093e \u0915\u093e \u0936\u094d\u0930\u0947\u092f \u091c\u0949\u0928 \u0935\u0949\u0928 \u0928\u094d\u092f\u0942\u092e\u0948\u0928 \u0914\u0930 \u0921\u094b\u0928\u093e\u0932\u094d\u0921 \u0928\u0941\u0925 \u091c\u0948\u0938\u0947 \u0915\u0902\u092a\u094d\u092f\u0942\u091f\u0930 \u0935\u0948\u091c\u094d\u091e\u093e\u0928\u093f\u0915\u094b\u0902 \u0915\u0947 \u0906\u0927\u093e\u0930\u092d\u0942\u0924 \u0915\u093e\u0930\u094d\u092f\u094b\u0902 \u0915\u094b \u0926\u093f\u092f\u093e \u091c\u093e\u0924\u093e \u0939\u0948\u0964<\/p>\n<h2>\u092b\u0942\u091f \u0921\u093e\u0932\u094b \u0914\u0930 \u091c\u0940\u0924\u094b \u090f\u0932\u094d\u0917\u094b\u0930\u093f\u0925\u094d\u092e \u0915\u093e \u0905\u0928\u093e\u0935\u0930\u0923<\/h2>\n<p>\u0935\u093f\u092d\u093e\u091c\u0928 \u0914\u0930 \u0935\u093f\u091c\u092f \u090f\u0932\u094d\u0917\u094b\u0930\u093f\u0925\u094d\u092e \u092e\u0947\u0902, \u0938\u0902\u0915\u094d\u0937\u0947\u092a \u092e\u0947\u0902, \u0924\u0940\u0928 \u0905\u0932\u0917-\u0905\u0932\u0917 \u091a\u0930\u0923 \u0936\u093e\u092e\u093f\u0932 \u0939\u0948\u0902:<\/p>\n<ol>\n<li><strong>\u0935\u093f\u092d\u093e\u091c\u093f\u0924 \u0915\u0930\u0928\u093e<\/strong>\u092f\u0939 \u092a\u0939\u0932\u093e \u091a\u0930\u0923 \u0939\u0948, \u091c\u0939\u093e\u0902 \u092e\u0941\u0916\u094d\u092f \u0938\u092e\u0938\u094d\u092f\u093e \u0915\u094b \u091b\u094b\u091f\u0940 \u0909\u092a-\u0938\u092e\u0938\u094d\u092f\u093e\u0913\u0902 \u092e\u0947\u0902 \u0935\u093f\u092d\u093e\u091c\u093f\u0924 \u0915\u093f\u092f\u093e \u091c\u093e\u0924\u093e \u0939\u0948\u0964<\/li>\n<li><strong>\u091c\u0940\u0924\u0928\u093e<\/strong>\u0907\u0938 \u091a\u0930\u0923 \u092e\u0947\u0902, \u0909\u092a-\u0938\u092e\u0938\u094d\u092f\u093e\u0913\u0902 \u0915\u094b \u0935\u094d\u092f\u0915\u094d\u0924\u093f\u0917\u0924 \u0930\u0942\u092a \u0938\u0947 \u0939\u0932 \u0915\u093f\u092f\u093e \u091c\u093e\u0924\u093e \u0939\u0948, \u0906\u092e\u0924\u094c\u0930 \u092a\u0930 \u092a\u0941\u0928\u0930\u093e\u0935\u0930\u094d\u0924\u0940 \u0915\u0949\u0932 \u0926\u094d\u0935\u093e\u0930\u093e\u0964<\/li>\n<li><strong>\u092e\u093f\u0932\u093e\u0928\u093e<\/strong>\u0909\u092a-\u0938\u092e\u0938\u094d\u092f\u093e\u0913\u0902 \u0915\u0947 \u0938\u092e\u093e\u0927\u093e\u0928\u094b\u0902 \u0915\u094b \u092e\u093f\u0932\u093e\u0915\u0930 \u092e\u0941\u0916\u094d\u092f \u0938\u092e\u0938\u094d\u092f\u093e \u0915\u093e \u0938\u092e\u093e\u0927\u093e\u0928 \u0924\u0948\u092f\u093e\u0930 \u0915\u093f\u092f\u093e \u091c\u093e\u0924\u093e \u0939\u0948\u0964<\/li>\n<\/ol>\n<p>\u092f\u0939 \u0926\u0943\u0937\u094d\u091f\u093f\u0915\u094b\u0923 \u0915\u0908 \u0915\u092e\u094d\u092a\u094d\u092f\u0942\u091f\u0947\u0936\u0928\u0932 \u0938\u092e\u0938\u094d\u092f\u093e\u0913\u0902 \u0915\u0940 \u092a\u0941\u0928\u0930\u093e\u0935\u0930\u094d\u0924\u0940 \u092a\u094d\u0930\u0915\u0943\u0924\u093f \u092a\u0930 \u091c\u094b\u0930 \u0926\u0947\u0924\u093e \u0939\u0948, \u0924\u0925\u093e \u091c\u091f\u093f\u0932 \u0938\u092e\u0938\u094d\u092f\u093e\u0913\u0902 \u0915\u094b \u0905\u0927\u093f\u0915 \u092a\u094d\u0930\u092c\u0902\u0927\u0928\u0940\u092f \u091f\u0941\u0915\u0921\u093c\u094b\u0902 \u092e\u0947\u0902 \u092c\u0926\u0932 \u0926\u0947\u0924\u093e \u0939\u0948, \u091c\u093f\u0928\u094d\u0939\u0947\u0902 \u0905\u0927\u093f\u0915 \u0906\u0938\u093e\u0928\u0940 \u0938\u0947 \u0939\u0932 \u0915\u093f\u092f\u093e \u091c\u093e \u0938\u0915\u0924\u093e \u0939\u0948\u0964<\/p>\n<h2>\u092b\u0942\u091f \u0921\u093e\u0932\u094b \u0914\u0930 \u091c\u0940\u0924\u094b \u090f\u0932\u094d\u0917\u094b\u0930\u093f\u0925\u094d\u092e \u0915\u0940 \u0906\u0902\u0924\u0930\u093f\u0915 \u0938\u0902\u0930\u091a\u0928\u093e \u0914\u0930 \u0915\u093e\u0930\u094d\u092f\u092a\u094d\u0930\u0923\u093e\u0932\u0940<\/h2>\n<p>\u0921\u093f\u0935\u093e\u0907\u0921 \u090f\u0902\u0921 \u0915\u0949\u0928\u094d\u0915\u0930 \u090f\u0932\u094d\u0917\u094b\u0930\u093f\u0925\u092e \u0915\u0940 \u0906\u0902\u0924\u0930\u093f\u0915 \u0938\u0902\u0930\u091a\u0928\u093e \u0930\u093f\u0915\u0930\u094d\u0938\u0928 \u0926\u094d\u0935\u093e\u0930\u093e \u0935\u093f\u0936\u0947\u0937\u0924\u093e \u0939\u0948\u0964 \u0907\u0938\u0915\u0947 \u092e\u0942\u0932 \u092e\u0947\u0902, \u092f\u0939 \u090f\u0915 \u0930\u093f\u0915\u0930\u094d\u0938\u093f\u0935 \u092b\u093c\u0902\u0915\u094d\u0936\u0928 \u0939\u0948 \u091c\u094b \u091b\u094b\u091f\u0947 \u0907\u0928\u092a\u0941\u091f \u092a\u0930 \u0916\u0941\u0926 \u0915\u094b \u0915\u0949\u0932 \u0915\u0930\u0924\u093e \u0939\u0948\u0964<\/p>\n<p>\u090f\u0915 \u0938\u093e\u092e\u093e\u0928\u094d\u092f \u0921\u0940&amp;\u0938\u0940 \u090f\u0932\u094d\u0917\u094b\u0930\u093f\u0925\u092e \u0907\u0938 \u0938\u0902\u0930\u091a\u0928\u093e \u0915\u093e \u0905\u0928\u0941\u0938\u0930\u0923 \u0915\u0930\u0924\u093e \u0939\u0948:<\/p>\n<pre><div class=\"bg-black rounded-md mb-4\"><div class=\"flex items-center relative text-gray-200 bg-gray-800 px-4 py-2 text-xs font-sans justify-between rounded-t-md\"><span>\u091b\u0926\u094d\u092e\u0915\u094b\u0921<\/span><button class=\"flex ml-auto gap-2\"><svg stroke=\"currentColor\" fill=\"none\" stroke-width=\"2\" viewbox=\"0 0 24 24\" stroke-linecap=\"round\" stroke-linejoin=\"round\" class=\"h-4 w-4\" height=\"1em\" width=\"1em\" ><path d=\"M16 4h2a2 2 0 0 1 2 2v14a2 2 0 0 1-2 2H6a2 2 0 0 1-2-2V6a2 2 0 0 1 2-2h2\"><\/path><rect x=\"8\" y=\"2\" width=\"8\" height=\"4\" rx=\"1\" ry=\"1\"><\/rect><\/svg>\u0915\u094b\u0921 \u0915\u0949\u092a\u0940 \u0915\u0930\u0947\u0902<\/button><\/div><div class=\"p-4 overflow-y-auto\"><code class=\"!whitespace-pre hljs language-pseudocode\" data-no-translation=\"\">function DivideAndConquer(problem):\n    if problem is small enough:\n        solve problem directly\n        return solution\n    else:\n        divide problem into smaller parts\n        for each part:\n            solution_part = DivideAndConquer(part)\n        combine the solution_parts into a complete solution\n        return solution\n<\/code><\/div><\/div><\/pre>\n<p>\u092a\u094d\u0930\u0924\u094d\u092f\u0947\u0915 \u092a\u0941\u0928\u0930\u093e\u0935\u0930\u094d\u0924\u0940 \u0915\u0949\u0932 \u092e\u0942\u0932 \u0938\u092e\u0938\u094d\u092f\u093e \u0915\u0947 \u090f\u0915 \u091b\u094b\u091f\u0947 \u0938\u0902\u0938\u094d\u0915\u0930\u0923 \u0915\u094b \u0939\u0932 \u0915\u0930\u0928\u0947 \u0915\u0947 \u0932\u093f\u090f \u091c\u093f\u092e\u094d\u092e\u0947\u0926\u093e\u0930 \u0939\u0948\u0964 \u092f\u0939 \u092a\u0941\u0928\u0930\u093e\u0935\u0930\u094d\u0924\u0940 \u0926\u0943\u0937\u094d\u091f\u093f\u0915\u094b\u0923 \u0924\u092c \u0924\u0915 \u091c\u093e\u0930\u0940 \u0930\u0939\u0924\u093e \u0939\u0948 \u091c\u092c \u0924\u0915 \u0915\u093f \u090f\u0915 \u0906\u0927\u093e\u0930 \u092e\u093e\u092e\u0932\u0947 \u0924\u0915 \u0928\u0939\u0940\u0902 \u092a\u0939\u0941\u0902\u091a \u091c\u093e\u0924\u093e \u0939\u0948, \u091c\u093f\u0938\u0947 \u0906\u0917\u0947 \u0915\u0940 \u092a\u0941\u0928\u0930\u093e\u0935\u0943\u0924\u094d\u0924\u093f \u0915\u0947 \u092c\u093f\u0928\u093e \u0938\u0940\u0927\u0947 \u0939\u0932 \u0915\u093f\u092f\u093e \u091c\u093e \u0938\u0915\u0924\u093e \u0939\u0948\u0964<\/p>\n<h2>\u0921\u093f\u0935\u093e\u0907\u0921 \u090f\u0902\u0921 \u0915\u0949\u0928\u0915\u0930 \u090f\u0932\u094d\u0917\u094b\u0930\u093f\u0926\u092e \u0915\u0940 \u092e\u0941\u0916\u094d\u092f \u0935\u093f\u0936\u0947\u0937\u0924\u093e\u090f\u0902<\/h2>\n<p>\u0935\u093f\u092d\u093e\u091c\u093f\u0924 \u0915\u0930\u094b \u0914\u0930 \u091c\u0940\u0924\u094b \u090f\u0932\u094d\u0917\u094b\u0930\u093f\u0926\u092e \u0915\u0940 \u0915\u0908 \u0935\u093f\u0936\u093f\u0937\u094d\u091f \u0935\u093f\u0936\u0947\u0937\u0924\u093e\u090f\u0902 \u0939\u0948\u0902:<\/p>\n<ol>\n<li>\u0935\u0947 \u091c\u091f\u093f\u0932 \u0938\u092e\u0938\u094d\u092f\u093e\u0913\u0902 \u0915\u094b \u091b\u094b\u091f\u0940, \u0905\u0927\u093f\u0915 \u092a\u094d\u0930\u092c\u0902\u0927\u0928\u0940\u092f \u0909\u092a-\u0938\u092e\u0938\u094d\u092f\u093e\u0913\u0902 \u092e\u0947\u0902 \u0935\u093f\u092d\u093e\u091c\u093f\u0924 \u0915\u0930\u0915\u0947 \u0938\u092e\u0938\u094d\u092f\u093e-\u0938\u092e\u093e\u0927\u093e\u0928 \u092a\u094d\u0930\u0915\u094d\u0930\u093f\u092f\u093e \u0915\u094b \u0938\u0930\u0932 \u092c\u0928\u093e\u0924\u0947 \u0939\u0948\u0902\u0964<\/li>\n<li>\u0935\u0947 \u092a\u0941\u0928\u0930\u093e\u0935\u0930\u094d\u0924\u0940 \u0926\u0943\u0937\u094d\u091f\u093f\u0915\u094b\u0923 \u0915\u093e \u092a\u093e\u0932\u0928 \u0915\u0930\u0924\u0947 \u0939\u0948\u0902, \u091c\u0939\u093e\u0902 \u0915\u093f\u0938\u0940 \u0938\u092e\u0938\u094d\u092f\u093e \u0915\u093e \u0938\u092e\u093e\u0927\u093e\u0928 \u0909\u0938\u0940 \u0938\u092e\u0938\u094d\u092f\u093e \u0915\u0947 \u091b\u094b\u091f\u0947 \u0909\u0926\u093e\u0939\u0930\u0923\u094b\u0902 \u0915\u0947 \u0938\u092e\u093e\u0927\u093e\u0928 \u092a\u0930 \u0928\u093f\u0930\u094d\u092d\u0930 \u0915\u0930\u0924\u093e \u0939\u0948\u0964<\/li>\n<li>\u0935\u0947 \u0938\u092e\u0938\u094d\u092f\u093e \u0915\u0940 \u0938\u0902\u0930\u091a\u0928\u093e \u0915\u093e \u092b\u093e\u092f\u0926\u093e \u0909\u0920\u093e\u0924\u0947 \u0939\u0948\u0902 \u0914\u0930 \u0905\u0915\u094d\u0938\u0930 \u0915\u0941\u0936\u0932 \u090f\u0932\u094d\u0917\u094b\u0930\u093f\u0926\u092e \u0915\u0940 \u0913\u0930 \u0932\u0947 \u091c\u093e\u0924\u0947 \u0939\u0948\u0902\u0964<\/li>\n<li>\u0921\u0940 \u090f\u0902\u0921 \u0938\u0940 \u090f\u0932\u094d\u0917\u094b\u0930\u093f\u0926\u092e \u0915\u094b \u0938\u092e\u093e\u0928\u093e\u0902\u0924\u0930 \u0915\u093f\u092f\u093e \u091c\u093e \u0938\u0915\u0924\u093e \u0939\u0948, \u0915\u094d\u092f\u094b\u0902\u0915\u093f \u0909\u092a-\u0938\u092e\u0938\u094d\u092f\u093e\u090f\u0902 \u0906\u092e\u0924\u094c\u0930 \u092a\u0930 \u0938\u094d\u0935\u0924\u0902\u0924\u094d\u0930 \u0939\u094b\u0924\u0940 \u0939\u0948\u0902\u0964<\/li>\n<\/ol>\n<h2>\u0935\u093f\u092d\u093e\u091c\u093f\u0924 \u0914\u0930 \u091c\u0940\u0924 \u090f\u0932\u094d\u0917\u094b\u0930\u093f\u0925\u094d\u092e \u0915\u0947 \u092a\u094d\u0930\u0915\u093e\u0930<\/h2>\n<p>\u0915\u0902\u092a\u094d\u092f\u0942\u091f\u0930 \u0935\u093f\u091c\u094d\u091e\u093e\u0928 \u092e\u0947\u0902 \u092b\u0942\u091f \u0921\u093e\u0932\u094b \u0914\u0930 \u091c\u0940\u0924\u094b \u0915\u0940 \u0930\u0923\u0928\u0940\u0924\u093f \u0938\u0930\u094d\u0935\u0935\u094d\u092f\u093e\u092a\u0940 \u0939\u0948 \u0914\u0930 \u092f\u0939 \u0935\u093f\u092d\u093f\u0928\u094d\u0928 \u092a\u094d\u0930\u0915\u093e\u0930 \u0915\u0947 \u090f\u0932\u094d\u0917\u094b\u0930\u093f\u0926\u092e \u0915\u093e \u0906\u0927\u093e\u0930 \u0939\u0948\u0964 \u092f\u0939\u093e\u0901 \u0915\u0941\u091b \u0938\u093e\u092e\u093e\u0928\u094d\u092f \u0930\u0942\u092a \u0938\u0947 \u0909\u092a\u092f\u094b\u0917 \u0915\u093f\u090f \u091c\u093e\u0928\u0947 \u0935\u093e\u0932\u0947 D&amp;C \u090f\u0932\u094d\u0917\u094b\u0930\u093f\u0926\u092e \u0926\u093f\u090f \u0917\u090f \u0939\u0948\u0902:<\/p>\n<ol>\n<li><strong>\u0926\u094d\u0935\u093f\u0906\u0927\u093e\u0930\u0940 \u0916\u094b\u091c<\/strong>: \u0915\u094d\u0930\u092e\u092c\u0926\u094d\u0927 \u0938\u093e\u0930\u0923\u0940 \u092e\u0947\u0902 \u0915\u093f\u0938\u0940 \u0924\u0924\u094d\u0935 \u0915\u094b \u0916\u094b\u091c\u0928\u0947 \u0915\u0947 \u0932\u093f\u090f \u0916\u094b\u091c \u090f\u0932\u094d\u0917\u094b\u0930\u093f\u0926\u092e \u092e\u0947\u0902 \u0909\u092a\u092f\u094b\u0917 \u0915\u093f\u092f\u093e \u091c\u093e\u0924\u093e \u0939\u0948\u0964<\/li>\n<li><strong>\u091c\u0932\u094d\u0926\u0940 \u0938\u0947 \u0938\u0941\u0932\u091d\u093e\u090f\u0902<\/strong>: \u0915\u093f\u0938\u0940 \u0938\u0942\u091a\u0940 \u092f\u093e \u0938\u093e\u0930\u0923\u0940 \u0915\u094b \u0915\u094d\u0930\u092e\u092c\u0926\u094d\u0927 \u0915\u0930\u0928\u0947 \u0915\u0947 \u0932\u093f\u090f \u0938\u0949\u0930\u094d\u091f\u093f\u0902\u0917 \u090f\u0932\u094d\u0917\u094b\u0930\u093f\u0926\u092e \u092e\u0947\u0902 \u0909\u092a\u092f\u094b\u0917 \u0915\u093f\u092f\u093e \u091c\u093e\u0924\u093e \u0939\u0948\u0964<\/li>\n<li><strong>\u092e\u0930\u094d\u091c\u093c \u0938\u0949\u0930\u094d\u091f<\/strong>: \u0921\u0940 \u090f\u0902\u0921 \u0938\u0940 \u092a\u0930 \u0906\u0927\u093e\u0930\u093f\u0924 \u090f\u0915 \u0914\u0930 \u0915\u0941\u0936\u0932 \u0938\u0949\u0930\u094d\u091f\u093f\u0902\u0917 \u090f\u0932\u094d\u0917\u094b\u0930\u093f\u0926\u092e\u0964<\/li>\n<li><strong>\u0938\u094d\u091f\u094d\u0930\u093e\u0938\u0947\u0928 \u0915\u093e \u090f\u0932\u094d\u0917\u094b\u0930\u093f\u0925\u094d\u092e<\/strong>: \u0926\u094b \u092e\u0948\u091f\u094d\u0930\u093f\u0938\u0947\u0938 \u0915\u094b \u0917\u0941\u0923\u093e \u0915\u0930\u0928\u0947 \u0915\u0947 \u0932\u093f\u090f \u092e\u0948\u091f\u094d\u0930\u093f\u0915\u094d\u0938 \u0917\u0941\u0923\u0928 \u092e\u0947\u0902 \u0909\u092a\u092f\u094b\u0917 \u0915\u093f\u092f\u093e \u091c\u093e\u0924\u093e \u0939\u0948\u0964<\/li>\n<li><strong>\u0928\u093f\u0915\u091f\u0924\u092e \u092c\u093f\u0928\u094d\u0926\u0941 \u092f\u0941\u0917\u094d\u092e<\/strong>: \u0915\u093f\u0938\u0940 \u0938\u092e\u0942\u0939 \u092e\u0947\u0902 \u0928\u093f\u0915\u091f\u0924\u092e \u092c\u093f\u0928\u094d\u0926\u0941 \u092f\u0941\u0917\u094d\u092e \u0915\u094b \u0916\u094b\u091c\u0928\u0947 \u0915\u0947 \u0932\u093f\u090f \u0915\u092e\u094d\u092a\u094d\u092f\u0942\u091f\u0947\u0936\u0928\u0932 \u091c\u094d\u092f\u093e\u092e\u093f\u0924\u093f \u092e\u0947\u0902 \u0909\u092a\u092f\u094b\u0917 \u0915\u093f\u092f\u093e \u091c\u093e\u0924\u093e \u0939\u0948\u0964<\/li>\n<\/ol>\n<h2>\u0921\u093f\u0935\u093e\u0907\u0921 \u090f\u0902\u0921 \u0915\u0949\u0928\u0915\u0930 \u090f\u0932\u094d\u0917\u094b\u0930\u093f\u0926\u092e \u0938\u0947 \u0938\u0902\u092c\u0902\u0927\u093f\u0924 \u0905\u0928\u0941\u092a\u094d\u0930\u092f\u094b\u0917, \u0938\u092e\u0938\u094d\u092f\u093e\u090f\u0902 \u0914\u0930 \u0938\u092e\u093e\u0927\u093e\u0928<\/h2>\n<p>\u092b\u0942\u091f \u0921\u093e\u0932\u094b \u0914\u0930 \u091c\u0940\u0924\u094b \u090f\u0932\u094d\u0917\u094b\u0930\u093f\u0926\u092e \u0915\u0947 \u0905\u0928\u0947\u0915 \u0905\u0928\u0941\u092a\u094d\u0930\u092f\u094b\u0917 \u0939\u0948\u0902:<\/p>\n<ol>\n<li><strong>\u091b\u0902\u091f\u093e\u0908<\/strong>: \u0915\u094d\u0935\u093f\u0915\u0938\u0949\u0930\u094d\u091f \u0914\u0930 \u092e\u0930\u094d\u091c\u0938\u0949\u0930\u094d\u091f \u091c\u0948\u0938\u0947 \u090f\u0932\u094d\u0917\u094b\u0930\u093f\u0926\u092e.<\/li>\n<li><strong>\u0916\u094b\u091c \u0915\u0930<\/strong>: \u092c\u093e\u0907\u0928\u0930\u0940 \u0916\u094b\u091c \u090f\u0932\u094d\u0917\u094b\u0930\u093f\u0925\u094d\u092e.<\/li>\n<li><strong>\u0938\u0902\u0916\u094d\u092f\u093e\u0924\u094d\u092e\u0915 \u0938\u0902\u0915\u094d\u0930\u093f\u092f\u093e\u090f\u0901<\/strong>: \u0924\u0940\u0935\u094d\u0930 \u0917\u0941\u0923\u0928 \u0915\u0947 \u0932\u093f\u090f \u0915\u0930\u093e\u0924\u094d\u0938\u0941\u092c\u093e \u0915\u093e \u090f\u0932\u094d\u0917\u094b\u0930\u093f\u0925\u094d\u092e\u0964<\/li>\n<li><strong>\u092e\u0948\u091f\u094d\u0930\u093f\u0915\u094d\u0938 \u0938\u0902\u091a\u093e\u0932\u0928<\/strong>: \u092e\u0948\u091f\u094d\u0930\u093f\u0915\u094d\u0938 \u0917\u0941\u0923\u0928 \u0915\u0947 \u0932\u093f\u090f \u0938\u094d\u091f\u094d\u0930\u0948\u0938\u0947\u0928 \u0915\u093e \u090f\u0932\u094d\u0917\u094b\u0930\u093f\u0925\u094d\u092e\u0964<\/li>\n<li><strong>\u0915\u092e\u094d\u092a\u094d\u092f\u0942\u091f\u0947\u0936\u0928\u0932 \u091c\u094d\u092f\u093e\u092e\u093f\u0924\u093f<\/strong>\u0928\u093f\u0915\u091f\u0924\u092e \u091c\u094b\u0921\u093c\u0940 \u0914\u0930 \u0909\u0924\u094d\u0924\u0932 \u0906\u0935\u0930\u0923 \u091c\u0948\u0938\u0940 \u0938\u092e\u0938\u094d\u092f\u093e\u090f\u0902\u0964<\/li>\n<\/ol>\n<p>\u0939\u093e\u0932\u093e\u0901\u0915\u093f, D&amp;C \u090f\u0932\u094d\u0917\u094b\u0930\u093f\u0926\u092e \u092e\u0947\u0902 \u092d\u0940 \u0905\u092a\u0928\u0940 \u091a\u0941\u0928\u094c\u0924\u093f\u092f\u093e\u0901 \u0939\u0948\u0902\u0964 \u090f\u0915 \u0917\u0902\u092d\u0940\u0930 \u0938\u092e\u0938\u094d\u092f\u093e \u0939\u0948 \u0930\u093f\u0915\u0930\u094d\u0938\u0928 \u0915\u0947 \u0915\u093e\u0930\u0923 \u0938\u094d\u091f\u0948\u0915 \u092e\u0947\u092e\u094b\u0930\u0940 \u0915\u093e \u0905\u0924\u094d\u092f\u0927\u093f\u0915 \u0909\u092a\u092f\u094b\u0917\u0964 \u091c\u0939\u093e\u0901 \u0938\u0902\u092d\u0935 \u0939\u094b, \u091f\u0947\u0932 \u0930\u093f\u0915\u0930\u094d\u0938\u0928 \u092f\u093e \u092a\u0941\u0928\u0930\u093e\u0935\u0943\u0924\u094d\u0924 \u0938\u092e\u093e\u0927\u093e\u0928\u094b\u0902 \u0915\u0947 \u092e\u093e\u0927\u094d\u092f\u092e \u0938\u0947 \u0907\u0938\u0947 \u0915\u092e \u0915\u093f\u092f\u093e \u091c\u093e \u0938\u0915\u0924\u093e \u0939\u0948\u0964<\/p>\n<p>\u090f\u0915 \u0914\u0930 \u091a\u0941\u0928\u094c\u0924\u0940 \u0939\u0948 \u0906\u0927\u093e\u0930 \u092e\u093e\u092e\u0932\u0947 \u0915\u0947 \u0932\u093f\u090f \u0907\u0937\u094d\u091f\u0924\u092e \u0938\u092e\u0938\u094d\u092f\u093e \u0906\u0915\u093e\u0930 \u0924\u092f \u0915\u0930\u0928\u093e\u0964 \u0907\u0938\u0915\u0947 \u0932\u093f\u090f \u0935\u093f\u0936\u094d\u0932\u0947\u0937\u0923 \u0914\u0930 \u0905\u0928\u0941\u092d\u0935\u091c\u0928\u094d\u092f \u092e\u0942\u0932\u094d\u092f\u093e\u0902\u0915\u0928 \u0915\u0947 \u0906\u0927\u093e\u0930 \u092a\u0930 \u0938\u093e\u0935\u0927\u093e\u0928\u0940\u092a\u0942\u0930\u094d\u0935\u0915 \u090f\u0932\u094d\u0917\u094b\u0930\u093f\u0926\u092e \u0921\u093f\u091c\u093c\u093e\u0907\u0928 \u0915\u0940 \u0906\u0935\u0936\u094d\u092f\u0915\u0924\u093e \u0939\u094b\u0924\u0940 \u0939\u0948\u0964<\/p>\n<h2>\u0938\u092e\u093e\u0928 \u0905\u0935\u0927\u093e\u0930\u0923\u093e\u0913\u0902 \u0915\u0947 \u0938\u093e\u0925 \u0924\u0941\u0932\u0928\u093e<\/h2>\n<table>\n<thead>\n<tr>\n<th>\u0905\u0935\u0927\u093e\u0930\u0923\u093e<\/th>\n<th>\u0935\u093f\u0935\u0930\u0923<\/th>\n<th>\u0938\u092e\u093e\u0928\u0924\u093e\u090f\u0901<\/th>\n<th>\u092e\u0924\u092d\u0947\u0926<\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr>\n<td>\u0917\u0924\u093f\u0936\u0940\u0932 \u092a\u094d\u0930\u094b\u0917\u094d\u0930\u093e\u092e\u093f\u0902\u0917<\/td>\n<td>\u091c\u091f\u093f\u0932 \u0938\u092e\u0938\u094d\u092f\u093e\u0913\u0902 \u0915\u094b \u0938\u0930\u0932 \u0909\u092a\u0938\u092e\u0938\u094d\u092f\u093e\u0913\u0902 \u092e\u0947\u0902 \u0935\u093f\u092d\u093e\u091c\u093f\u0924 \u0915\u0930\u0915\u0947 \u0924\u0925\u093e \u0907\u0928 \u0909\u092a\u0938\u092e\u0938\u094d\u092f\u093e\u0913\u0902 \u0915\u0947 \u092a\u0930\u093f\u0923\u093e\u092e\u094b\u0902 \u0915\u094b \u0938\u0902\u0917\u094d\u0930\u0939\u0940\u0924 \u0915\u0930\u0915\u0947 \u0909\u0928\u094d\u0939\u0947\u0902 \u0939\u0932 \u0915\u0930\u0928\u0947 \u0915\u0940 \u090f\u0915 \u0935\u093f\u0927\u093f, \u091c\u093f\u0938\u0938\u0947 \u0926\u094b\u0939\u0930\u093e\u0935\u092a\u0942\u0930\u094d\u0923 \u0915\u093e\u0930\u094d\u092f \u0938\u0947 \u092c\u091a\u093e \u091c\u093e \u0938\u0915\u0947\u0964<\/td>\n<td>\u0926\u094b\u0928\u094b\u0902 \u0939\u0940 \u0938\u092e\u0938\u094d\u092f\u093e\u0913\u0902 \u0915\u094b \u091b\u094b\u091f\u0940-\u091b\u094b\u091f\u0940 \u0909\u092a-\u0938\u092e\u0938\u094d\u092f\u093e\u0913\u0902 \u092e\u0947\u0902 \u0924\u094b\u0921\u093c\u0915\u0930 \u0939\u0932 \u0915\u0930\u0924\u0947 \u0939\u0948\u0902\u0964<\/td>\n<td>\u0921\u093e\u092f\u0928\u0947\u092e\u093f\u0915 \u092a\u094d\u0930\u094b\u0917\u094d\u0930\u093e\u092e\u093f\u0902\u0917 \u0928\u0940\u091a\u0947 \u0938\u0947 \u090a\u092a\u0930 \u0915\u0940 \u0913\u0930 \u0926\u0943\u0937\u094d\u091f\u093f\u0915\u094b\u0923 \u0915\u093e \u0909\u092a\u092f\u094b\u0917 \u0915\u0930\u0924\u0940 \u0939\u0948 \u0914\u0930 \u0938\u092e\u0938\u094d\u092f\u093e \u0915\u094b \u0939\u0932 \u0915\u0930\u0928\u0947 \u0938\u0947 \u092a\u0939\u0932\u0947 \u0938\u092d\u0940 \u0906\u0936\u094d\u0930\u093f\u0924 \u0909\u092a\u0938\u092e\u0938\u094d\u092f\u093e\u0913\u0902 \u0915\u094b \u0939\u0932 \u0915\u0930\u0924\u0940 \u0939\u0948\u0964<\/td>\n<\/tr>\n<tr>\n<td>\u0932\u093e\u0932\u091a\u0940 \u090f\u0932\u094d\u0917\u094b\u0930\u093f\u0926\u092e<\/td>\n<td>\u090f\u0915 \u0926\u0943\u0937\u094d\u091f\u093f\u0915\u094b\u0923 \u091c\u094b \u0938\u092e\u093e\u0927\u093e\u0928 \u0915\u094b \u091f\u0941\u0915\u0921\u093c\u094b\u0902 \u092e\u0947\u0902 \u0924\u0948\u092f\u093e\u0930 \u0915\u0930\u0924\u093e \u0939\u0948, \u0924\u0925\u093e \u0939\u092e\u0947\u0936\u093e \u0909\u0938 \u0905\u0917\u0932\u0947 \u091f\u0941\u0915\u0921\u093c\u0947 \u0915\u094b \u091a\u0941\u0928\u0924\u093e \u0939\u0948 \u091c\u094b \u0938\u092c\u0938\u0947 \u0924\u0924\u094d\u0915\u093e\u0932 \u0932\u093e\u092d \u092a\u094d\u0930\u0926\u093e\u0928 \u0915\u0930\u0924\u093e \u0939\u0948\u0964<\/td>\n<td>\u0926\u094b\u0928\u094b\u0902 \u0939\u0940 \u090f\u0932\u094d\u0917\u094b\u0930\u093f\u0925\u092e \u0921\u093f\u091c\u093c\u093e\u0907\u0928 \u092a\u094d\u0930\u0924\u093f\u092e\u093e\u0928 \u0939\u0948\u0902 \u091c\u093f\u0928\u0915\u093e \u0909\u092a\u092f\u094b\u0917 \u0905\u0928\u0941\u0915\u0942\u0932\u0928 \u0938\u092e\u0938\u094d\u092f\u093e\u0913\u0902 \u0915\u094b \u0939\u0932 \u0915\u0930\u0928\u0947 \u0915\u0947 \u0932\u093f\u090f \u0915\u093f\u092f\u093e \u091c\u093e\u0924\u093e \u0939\u0948\u0964<\/td>\n<td>\u0932\u093e\u0932\u091a\u0940 \u090f\u0932\u094d\u0917\u094b\u0930\u093f\u0926\u092e \u092a\u094d\u0930\u0924\u094d\u092f\u0947\u0915 \u091a\u0930\u0923 \u092e\u0947\u0902 \u0938\u094d\u0925\u093e\u0928\u0940\u092f \u0907\u0937\u094d\u091f\u0924\u092e \u0935\u093f\u0915\u0932\u094d\u092a \u091a\u0941\u0928\u0924\u0947 \u0939\u0948\u0902, \u0907\u0938 \u0906\u0936\u093e \u092e\u0947\u0902 \u0915\u093f \u092f\u0947 \u0938\u094d\u0925\u093e\u0928\u0940\u092f \u0935\u093f\u0915\u0932\u094d\u092a \u0935\u0948\u0936\u094d\u0935\u093f\u0915 \u0907\u0937\u094d\u091f\u0924\u092e \u0915\u0940 \u0913\u0930 \u0932\u0947 \u091c\u093e\u090f\u0902\u0917\u0947, \u091c\u092c\u0915\u093f \u0921\u0940 \u090f\u0902\u0921 \u0938\u0940 \u0938\u092e\u0938\u094d\u092f\u093e \u0915\u094b \u0909\u092a-\u0938\u092e\u0938\u094d\u092f\u093e\u0913\u0902 \u092e\u0947\u0902 \u0924\u094b\u0921\u093c \u0926\u0947\u0924\u093e \u0939\u0948 \u0914\u0930 \u0909\u0928\u0915\u0947 \u0938\u092e\u093e\u0927\u093e\u0928\u094b\u0902 \u0915\u094b \u0938\u0902\u092f\u094b\u091c\u093f\u0924 \u0915\u0930\u0924\u093e \u0939\u0948\u0964<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<h2>\u0935\u093f\u092d\u093e\u091c\u093f\u0924 \u0914\u0930 \u091c\u0940\u0924\u094b \u090f\u0932\u094d\u0917\u094b\u0930\u093f\u0925\u094d\u092e \u0938\u0947 \u0938\u0902\u092c\u0902\u0927\u093f\u0924 \u092d\u0935\u093f\u0937\u094d\u092f \u0915\u0947 \u092a\u0930\u093f\u092a\u094d\u0930\u0947\u0915\u094d\u0937\u094d\u092f \u0914\u0930 \u092a\u094d\u0930\u094c\u0926\u094d\u092f\u094b\u0917\u093f\u0915\u093f\u092f\u093e\u0902<\/h2>\n<p>\u0938\u092e\u093e\u0928\u093e\u0902\u0924\u0930 \u0915\u0902\u092a\u094d\u092f\u0942\u091f\u093f\u0902\u0917 \u0914\u0930 \u0935\u093f\u0924\u0930\u093f\u0924 \u0938\u093f\u0938\u094d\u091f\u092e D&amp;C \u090f\u0932\u094d\u0917\u094b\u0930\u093f\u0926\u092e \u0915\u0947 \u0932\u093f\u090f \u0928\u090f \u0915\u094d\u0937\u093f\u0924\u093f\u091c \u0916\u094b\u0932\u0924\u0947 \u0939\u0948\u0902\u0964 \u0938\u092e\u0938\u094d\u092f\u093e\u0913\u0902 \u0915\u094b \u0938\u094d\u0935\u0924\u0902\u0924\u094d\u0930 \u0909\u092a-\u0938\u092e\u0938\u094d\u092f\u093e\u0913\u0902 \u092e\u0947\u0902 \u0924\u094b\u0921\u093c\u0928\u0947 \u0915\u0940 \u0905\u0902\u0924\u0930\u094d\u0928\u093f\u0939\u093f\u0924 \u092a\u094d\u0930\u0915\u0943\u0924\u093f \u0915\u094b \u0926\u0947\u0916\u0924\u0947 \u0939\u0941\u090f, D&amp;C \u0938\u092e\u093e\u0928\u093e\u0902\u0924\u0930 \u0928\u093f\u0937\u094d\u092a\u093e\u0926\u0928 \u0915\u0947 \u0932\u093f\u090f \u0909\u092a\u092f\u0941\u0915\u094d\u0924 \u0939\u0948\u0964 \u0939\u092e GPU \u092a\u094d\u0930\u094b\u0917\u094d\u0930\u093e\u092e\u093f\u0902\u0917, \u0915\u094d\u0932\u093e\u0909\u0921 \u0915\u0902\u092a\u094d\u092f\u0942\u091f\u093f\u0902\u0917 \u0914\u0930 \u0935\u093f\u0924\u0930\u093f\u0924 \u0938\u093f\u0938\u094d\u091f\u092e \u0915\u0947 \u0932\u093f\u090f \u0921\u093f\u091c\u093c\u093e\u0907\u0928 \u0915\u093f\u090f \u0917\u090f D&amp;C \u090f\u0932\u094d\u0917\u094b\u0930\u093f\u0926\u092e \u0915\u0947 \u092a\u094d\u0930\u0938\u093e\u0930 \u0915\u0940 \u0909\u092e\u094d\u092e\u0940\u0926 \u0915\u0930 \u0938\u0915\u0924\u0947 \u0939\u0948\u0902\u0964<\/p>\n<p>\u0907\u0938\u0915\u0947 \u0905\u0932\u093e\u0935\u093e, \u092e\u0936\u0940\u0928 \u0932\u0930\u094d\u0928\u093f\u0902\u0917 \u0914\u0930 \u0921\u0947\u091f\u093e \u0938\u093e\u0907\u0902\u0938 \u091c\u0948\u0938\u0947 \u0909\u092d\u0930\u0924\u0947 \u0915\u094d\u0937\u0947\u0924\u094d\u0930\u094b\u0902 \u092e\u0947\u0902 \u092b\u0942\u091f \u0921\u093e\u0932\u094b \u0914\u0930 \u091c\u0940\u0924\u094b \u0915\u093e \u0926\u0943\u0937\u094d\u091f\u093f\u0915\u094b\u0923 \u092a\u094d\u0930\u093e\u0938\u0902\u0917\u093f\u0915 \u092c\u0928\u093e \u0930\u0939\u0947\u0917\u093e\u0964 \u0921\u0940 \u090f\u0902\u0921 \u0938\u0940 \u0926\u0943\u0937\u094d\u091f\u093f\u0915\u094b\u0923 \u0915\u093e \u0909\u092a\u092f\u094b\u0917 \u0915\u0930\u0915\u0947 \u092c\u0921\u093c\u0947 \u0921\u0947\u091f\u093e \u092a\u094d\u0930\u094b\u0938\u0947\u0938\u093f\u0902\u0917 \u0915\u093e\u0930\u094d\u092f\u094b\u0902 \u0915\u094b \u0915\u0941\u0936\u0932\u0924\u093e\u092a\u0942\u0930\u094d\u0935\u0915 \u0938\u0902\u092d\u093e\u0932\u093e \u091c\u093e \u0938\u0915\u0924\u093e \u0939\u0948, \u091c\u093f\u0938\u0938\u0947 \u0935\u0947 \u092c\u0921\u093c\u0947 \u0921\u0947\u091f\u093e \u0915\u0947 \u092f\u0941\u0917 \u092e\u0947\u0902 \u090f\u0915 \u0905\u092a\u0930\u093f\u0939\u093e\u0930\u094d\u092f \u0909\u092a\u0915\u0930\u0923 \u092c\u0928 \u091c\u093e\u0924\u0947 \u0939\u0948\u0902\u0964<\/p>\n<h2>\u0921\u093f\u0935\u093e\u0907\u0921 \u090f\u0902\u0921 \u0915\u0949\u0928\u0915\u0930 \u090f\u0932\u094d\u0917\u094b\u0930\u093f\u0926\u092e \u0915\u0947 \u0938\u093e\u0925 \u092a\u094d\u0930\u0949\u0915\u094d\u0938\u0940 \u0938\u0930\u094d\u0935\u0930 \u0915\u093e \u091c\u0941\u0921\u093c\u093e\u0935<\/h2>\n<p>\u092a\u094d\u0930\u0949\u0915\u094d\u0938\u0940 \u0938\u0930\u094d\u0935\u0930 \u0932\u094b\u0921 \u0938\u0902\u0924\u0941\u0932\u0928 \u0915\u0947 \u0932\u093f\u090f \u0935\u093f\u092d\u093e\u091c\u0928 \u0914\u0930 \u0935\u093f\u091c\u092f \u0926\u0943\u0937\u094d\u091f\u093f\u0915\u094b\u0923 \u0915\u093e \u0909\u092a\u092f\u094b\u0917 \u0915\u0930 \u0938\u0915\u0924\u0947 \u0939\u0948\u0902\u0964 \u0906\u0928\u0947 \u0935\u093e\u0932\u0947 \u091f\u094d\u0930\u0948\u092b\u093c\u093f\u0915 \u0915\u094b \u0915\u0908 \u0938\u0930\u094d\u0935\u0930\u094b\u0902 \u0915\u0947 \u092c\u0940\u091a \u0935\u093f\u092d\u093e\u091c\u093f\u0924 \u0915\u093f\u092f\u093e \u091c\u093e \u0938\u0915\u0924\u093e \u0939\u0948, \u091c\u093f\u0938\u0938\u0947 \u092d\u093e\u0930\u0940 \u0928\u0947\u091f\u0935\u0930\u094d\u0915 \u0932\u094b\u0921 \u0915\u094b \u0938\u0902\u092d\u093e\u0932\u0928\u0947 \u0915\u0940 \u0938\u092e\u0938\u094d\u092f\u093e \u0915\u094b \u092a\u094d\u0930\u092d\u093e\u0935\u0940 \u0922\u0902\u0917 \u0938\u0947 &quot;\u091c\u0940\u0924&quot; \u092e\u093f\u0932\u0924\u0940 \u0939\u0948\u0964 \u092f\u0939 \u0930\u0923\u0928\u0940\u0924\u093f \u092c\u0947\u0939\u0924\u0930 \u092a\u094d\u0930\u0924\u093f\u0915\u094d\u0930\u093f\u092f\u093e \u0938\u092e\u092f \u0914\u0930 \u0938\u092e\u0917\u094d\u0930 \u092a\u094d\u0930\u0926\u0930\u094d\u0936\u0928 \u0915\u0940 \u0905\u0928\u0941\u092e\u0924\u093f \u0926\u0947\u0924\u0940 \u0939\u0948\u0964<\/p>\n<p>\u0907\u0938\u0915\u0947 \u0905\u0932\u093e\u0935\u093e, \u092c\u0921\u093c\u0947 \u092a\u0948\u092e\u093e\u0928\u0947 \u092a\u0930 \u0921\u0947\u091f\u093e \u0938\u094d\u0915\u094d\u0930\u0948\u092a\u093f\u0902\u0917 \u092f\u093e \u0935\u0947\u092c \u0915\u094d\u0930\u0949\u0932\u093f\u0902\u0917 \u0938\u0947 \u0928\u093f\u092a\u091f\u0928\u0947 \u0915\u0947 \u0926\u094c\u0930\u093e\u0928, \u0935\u093f\u092d\u093e\u091c\u093f\u0924 \u0914\u0930 \u091c\u0940\u0924 \u0926\u0943\u0937\u094d\u091f\u093f\u0915\u094b\u0923 \u0932\u093e\u0917\u0942 \u0915\u093f\u092f\u093e \u091c\u093e \u0938\u0915\u0924\u093e \u0939\u0948\u0964 \u0905\u0932\u0917-\u0905\u0932\u0917 \u092a\u094d\u0930\u0949\u0915\u094d\u0938\u0940 \u0938\u0930\u094d\u0935\u0930 \u0915\u094b \u0905\u0932\u0917-\u0905\u0932\u0917 \u0935\u0947\u092c\u0938\u093e\u0907\u091f \u0938\u0947\u0915\u094d\u0936\u0928 \u0938\u0947 \u0921\u0947\u091f\u093e \u0907\u0915\u091f\u094d\u0920\u093e \u0915\u0930\u0928\u0947 \u0915\u0947 \u0932\u093f\u090f \u0928\u093f\u092f\u0941\u0915\u094d\u0924 \u0915\u093f\u092f\u093e \u091c\u093e \u0938\u0915\u0924\u093e \u0939\u0948, \u0914\u0930 \u090f\u0915\u0924\u094d\u0930 \u0915\u093f\u090f \u0917\u090f \u0921\u0947\u091f\u093e \u0915\u094b \u092c\u093e\u0926 \u092e\u0947\u0902 \u091c\u094b\u0921\u093c\u093e \u091c\u093e \u0938\u0915\u0924\u093e \u0939\u0948, \u091c\u093f\u0938\u0915\u0947 \u092a\u0930\u093f\u0923\u093e\u092e\u0938\u094d\u0935\u0930\u0942\u092a \u0924\u0947\u091c\u093c \u0914\u0930 \u0905\u0927\u093f\u0915 \u0915\u0941\u0936\u0932 \u0921\u0947\u091f\u093e \u0938\u0902\u0917\u094d\u0930\u0939 \u0939\u094b\u0924\u093e \u0939\u0948\u0964<\/p>\n<h2>\u0938\u092e\u094d\u092c\u0902\u0927\u093f\u0924 \u0932\u093f\u0902\u0915\u094d\u0938<\/h2>\n<ol>\n<li><a href=\"https:\/\/mitpress.mit.edu\/books\/introduction-algorithms-third-edition\" target=\"_new\" rel=\"noopener nofollow\">\u0915\u0949\u0930\u094d\u092e\u0947\u0928, \u0932\u0940\u0938\u0930\u094d\u0938\u0928, \u0930\u093f\u0935\u0947\u0938\u094d\u091f \u0914\u0930 \u0938\u094d\u091f\u0940\u0928 \u0926\u094d\u0935\u093e\u0930\u093e \u090f\u0932\u094d\u0917\u094b\u0930\u093f\u0926\u092e \u0915\u093e \u092a\u0930\u093f\u091a\u092f<\/a><\/li>\n<li><a href=\"https:\/\/www.geeksforgeeks.org\/divide-and-conquer-introduction\/\" target=\"_new\" rel=\"noopener nofollow\">GeeksforGeeks \u092a\u0930 \u092b\u0942\u091f \u0921\u093e\u0932\u094b \u0914\u0930 \u091c\u0940\u0924\u094b \u0915\u093e \u092a\u094d\u0930\u0924\u093f\u092e\u093e\u0928<\/a><\/li>\n<li><a href=\"https:\/\/www.khanacademy.org\/computing\/computer-science\/algorithms\/merge-sort\/a\/divide-and-conquer-algorithms\" target=\"_new\" rel=\"noopener nofollow\">\u0916\u093e\u0928 \u0905\u0915\u093e\u0926\u092e\u0940 \u092a\u0930 \u0935\u093f\u092d\u093e\u091c\u093f\u0924-\u0914\u0930-\u091c\u0940\u0924 \u090f\u0932\u094d\u0917\u094b\u0930\u093f\u0926\u092e<\/a><\/li>\n<\/ol>\n<p>\u0909\u092e\u094d\u092e\u0940\u0926 \u0939\u0948 \u0915\u093f \u0921\u093f\u0935\u093e\u0907\u0921 \u090f\u0902\u0921 \u0915\u0949\u0928\u094d\u0915\u0930 \u090f\u0932\u094d\u0917\u094b\u0930\u093f\u0926\u092e \u0915\u0940 \u092f\u0939 \u0935\u094d\u092f\u093e\u092a\u0915 \u0916\u094b\u091c \u092a\u093e\u0920\u0915\u094b\u0902 \u0915\u094b \u0915\u0902\u092a\u094d\u092f\u0942\u091f\u0930 \u0935\u093f\u091c\u094d\u091e\u093e\u0928 \u092e\u0947\u0902 \u0907\u0938 \u092e\u094c\u0932\u093f\u0915 \u092a\u094d\u0930\u0924\u093f\u092e\u093e\u0928 \u0915\u0940 \u0917\u0939\u0930\u0940 \u0938\u092e\u091d \u092a\u094d\u0930\u0926\u093e\u0928 \u0915\u0930\u0947\u0917\u0940\u0964 \u091a\u093e\u0939\u0947 \u0935\u0939 \u0924\u0924\u094d\u0935\u094b\u0902 \u0915\u0940 \u0938\u0942\u091a\u0940 \u0915\u094b \u091b\u093e\u0902\u091f\u0928\u093e \u0939\u094b, \u0921\u0947\u091f\u093e\u092c\u0947\u0938 \u092e\u0947\u0902 \u0915\u093f\u0938\u0940 \u0924\u0924\u094d\u0935 \u0915\u094b \u0916\u094b\u091c\u0928\u093e \u0939\u094b, \u092f\u093e \u092a\u094d\u0930\u0949\u0915\u094d\u0938\u0940 \u0938\u0930\u094d\u0935\u0930 \u092a\u0930 \u091f\u094d\u0930\u0948\u092b\u093c\u093f\u0915 \u0915\u094b \u0938\u0902\u092d\u093e\u0932\u0928\u093e \u0939\u094b, \u0921\u093f\u0935\u093e\u0907\u0921 \u090f\u0902\u0921 \u0915\u0949\u0928\u094d\u0915\u0930 \u0926\u0943\u0937\u094d\u091f\u093f\u0915\u094b\u0923 \u090f\u0915 \u092a\u094d\u0930\u092d\u093e\u0935\u0940 \u0914\u0930 \u0915\u0941\u0936\u0932 \u0938\u092e\u093e\u0927\u093e\u0928 \u092a\u094d\u0930\u0926\u093e\u0928 \u0915\u0930\u0924\u093e \u0939\u0948\u0964<\/p>","protected":false},"featured_media":0,"menu_order":0,"template":"","meta":{"_acf_changed":false,"content-type":"","inline_featured_image":false,"footnotes":""},"class_list":["post-476870","wiki","type-wiki","status-publish","hentry"],"acf":{"faq_title":"Frequently Asked Questions about <mark>Divide and Conquer Algorithm: An In-depth Exploration<\/mark>","faq_items":[{"question":"What is the divide and conquer algorithm?","answer":"<p>The divide and conquer (D&amp;C) algorithm is an algorithmic paradigm that solves a problem by breaking it down into smaller sub-problems of the same type, solving these sub-problems, and combining their solutions to solve the original problem.<\/p>"},{"question":"Where did the divide and conquer algorithm originate from?","answer":"<p>The divide and conquer approach traces its roots back to ancient times, where it was used in strategic and mathematical contexts. However, in computer science, it was popularized in the mid-20th century through its use in early sorting and search algorithms.<\/p>"},{"question":"How does the divide and conquer algorithm work?","answer":"<p>The divide and conquer algorithm works in three main steps: divide the problem into smaller sub-problems, solve the sub-problems (usually by recursive calls), and then combine the solutions to form the solution for the main problem.<\/p>"},{"question":"What are the key features of the divide and conquer algorithm?","answer":"<p>The key features of the divide and conquer algorithm include its ability to simplify complex problems, its recursive approach, its efficiency, and its capability to be parallelized, as sub-problems are usually independent.<\/p>"},{"question":"What are some types of divide and conquer algorithms?","answer":"<p>Some types of divide and conquer algorithms include Binary Search, QuickSort, MergeSort, Strassen's Algorithm, and the algorithm to find the Closest Pair of Points.<\/p>"},{"question":"How are divide and conquer algorithms applied and what are some related problems?","answer":"<p>Divide and conquer algorithms are applied in various fields, including sorting, searching, numerical operations, matrix operations, and computational geometry. They can face challenges like excessive use of stack memory due to recursion and the need to decide the optimal problem size for the base case.<\/p>"},{"question":"How can divide and conquer algorithms be compared to dynamic programming and greedy algorithms?","answer":"<p>While all three are algorithm design paradigms used to solve optimization problems, dynamic programming solves problems by breaking them down into simpler subproblems and storing the results to avoid duplicate work. Greedy algorithms, on the other hand, make local optimal choices at each step hoping that these local choices will lead to a global optimum.<\/p>"},{"question":"What are the future perspectives and technologies related to divide and conquer algorithms?","answer":"<p>The future of divide and conquer algorithms lies in parallel computing and distributed systems, as they are well-suited for parallel execution. They are also expected to be increasingly relevant in fields like machine learning and data science.<\/p>"},{"question":"How can proxy servers be associated with divide and conquer algorithms?","answer":"<p>Proxy servers can use the divide and conquer approach for load balancing, dividing incoming traffic among multiple servers. This strategy improves response times and overall performance. In large scale data scraping or web crawling, different proxy servers can be assigned to gather data from different website sections, allowing for faster and more efficient data collection.<\/p>"}]},"_links":{"self":[{"href":"https:\/\/oneproxy.pro\/in\/wp-json\/wp\/v2\/wiki\/476870","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/oneproxy.pro\/in\/wp-json\/wp\/v2\/wiki"}],"about":[{"href":"https:\/\/oneproxy.pro\/in\/wp-json\/wp\/v2\/types\/wiki"}],"version-history":[{"count":0,"href":"https:\/\/oneproxy.pro\/in\/wp-json\/wp\/v2\/wiki\/476870\/revisions"}],"wp:attachment":[{"href":"https:\/\/oneproxy.pro\/in\/wp-json\/wp\/v2\/media?parent=476870"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}