{"id":477437,"date":"2023-08-09T09:14:50","date_gmt":"2023-08-09T09:14:50","guid":{"rendered":""},"modified":"2023-09-05T11:14:42","modified_gmt":"2023-09-05T11:14:42","slug":"heap","status":"publish","type":"wiki","link":"https:\/\/oneproxy.pro\/in\/wiki\/heap\/","title":{"rendered":"\u0922\u0947\u0930"},"content":{"rendered":"<p>\u0939\u0940\u092a \u0921\u0947\u091f\u093e \u0938\u0902\u0930\u091a\u0928\u093e\u090f\u0902 \u0915\u0908 \u0915\u0902\u092a\u094d\u092f\u0942\u091f\u0930 \u092a\u094d\u0930\u0923\u093e\u0932\u093f\u092f\u094b\u0902 \u0915\u093e \u090f\u0915 \u0905\u092d\u093f\u0928\u094d\u0928 \u0905\u0902\u0917 \u092c\u0928\u0924\u0940 \u0939\u0948\u0902, \u091c\u094b \u0935\u093f\u092d\u093f\u0928\u094d\u0928 \u090f\u0932\u094d\u0917\u094b\u0930\u093f\u0926\u092e \u0914\u0930 \u0905\u0928\u0941\u092a\u094d\u0930\u092f\u094b\u0917\u094b\u0902 \u092e\u0947\u0902 \u0926\u0915\u094d\u0937\u0924\u093e \u0914\u0930 \u092e\u091c\u092c\u0942\u0924\u0940 \u092a\u094d\u0930\u0926\u093e\u0928 \u0915\u0930\u0924\u0940 \u0939\u0948\u0902\u0964 \u0935\u0947 \u0928\u0947\u091f\u0935\u0930\u094d\u0915\u093f\u0902\u0917 \u0938\u0947 \u0932\u0947\u0915\u0930 \u0921\u0947\u091f\u093e\u092c\u0947\u0938 \u0938\u0902\u091a\u093e\u0932\u0928 \u0924\u0915, \u0915\u0902\u092a\u094d\u092f\u0942\u091f\u0930 \u0935\u093f\u091c\u094d\u091e\u093e\u0928 \u0915\u0947 \u0935\u094d\u092f\u093e\u092a\u0915 \u0938\u094d\u092a\u0947\u0915\u094d\u091f\u094d\u0930\u092e \u0915\u094b \u0930\u0947\u0916\u093e\u0902\u0915\u093f\u0924 \u0915\u0930\u0924\u0947 \u0939\u0948\u0902\u0964<\/p>\n<h2>\u0939\u0940\u092a \u0921\u0947\u091f\u093e \u0938\u0902\u0930\u091a\u0928\u093e\u0913\u0902 \u0915\u0940 \u0909\u0924\u094d\u092a\u0924\u094d\u0924\u093f \u0914\u0930 \u092a\u094d\u0930\u093e\u0930\u0902\u092d\u093f\u0915 \u0907\u0924\u093f\u0939\u093e\u0938<\/h2>\n<p>\u0939\u0940\u092a \u0921\u0947\u091f\u093e \u0938\u0902\u0930\u091a\u0928\u093e\u0913\u0902 \u0915\u0940 \u0905\u0935\u0927\u093e\u0930\u0923\u093e 1960 \u0915\u0947 \u0926\u0936\u0915 \u092e\u0947\u0902 \u0915\u0902\u092a\u094d\u092f\u0942\u091f\u0930 \u0935\u093f\u091c\u094d\u091e\u093e\u0928 \u0915\u0947 \u0915\u094d\u0937\u0947\u0924\u094d\u0930 \u092e\u0947\u0902 \u0909\u0924\u094d\u092a\u0928\u094d\u0928 \u0939\u0941\u0908 \u0925\u0940\u0964 \u0906\u091c \u0939\u092e \u091c\u093f\u0938 \u0939\u0940\u092a \u0915\u094b \u091c\u093e\u0928\u0924\u0947 \u0939\u0948\u0902, \u0909\u0938\u0947 1964 \u092e\u0947\u0902 JWJ \u0935\u093f\u0932\u093f\u092f\u092e\u094d\u0938 \u0928\u0947 \u0939\u0940\u092a\u0938\u0949\u0930\u094d\u091f \u0938\u0949\u0930\u094d\u091f\u093f\u0902\u0917 \u090f\u0932\u094d\u0917\u094b\u0930\u093f\u0926\u092e \u0915\u0947 \u0932\u093f\u090f \u0921\u0947\u091f\u093e \u0938\u0902\u0930\u091a\u0928\u093e \u0915\u0947 \u0930\u0942\u092a \u092e\u0947\u0902 \u092a\u0947\u0936 \u0915\u093f\u092f\u093e \u0925\u093e\u0964 \u0909\u0938\u0940 \u0935\u0930\u094d\u0937, \u0906\u0930\u0921\u092c\u094d\u0932\u094d\u092f\u0942 \u092b\u094d\u0932\u0949\u092f\u0921 \u0928\u0947 \u0907\u0938 \u0905\u0935\u0927\u093e\u0930\u0923\u093e \u0915\u094b \u0914\u0930 \u0906\u0917\u0947 \u092c\u0922\u093c\u093e\u092f\u093e, \u0906\u0902\u0936\u093f\u0915 \u0915\u094d\u0930\u092e \u0938\u0949\u0930\u094d\u091f\u093f\u0902\u0917 \u0915\u0947 \u0932\u093f\u090f \u090f\u0915 \u0915\u0941\u0936\u0932 \u090f\u0932\u094d\u0917\u094b\u0930\u093f\u0926\u092e \u0921\u093f\u091c\u093e\u0907\u0928 \u0915\u0930\u0928\u0947 \u0915\u0947 \u0932\u093f\u090f \u0939\u0940\u092a \u0915\u094b \u0905\u0928\u0941\u0915\u0942\u0932\u093f\u0924 \u0915\u093f\u092f\u093e, \u091c\u093f\u0938\u0947 \u092b\u094d\u0932\u0949\u092f\u0921 \u0915\u0947 \u090f\u0932\u094d\u0917\u094b\u0930\u093f\u0926\u092e \u0915\u0947 \u0930\u0942\u092a \u092e\u0947\u0902 \u091c\u093e\u0928\u093e \u091c\u093e\u0924\u093e \u0939\u0948\u0964<\/p>\n<h2>\u0939\u0940\u092a \u0921\u0947\u091f\u093e \u0938\u0902\u0930\u091a\u0928\u093e\u0913\u0902 \u0915\u093e \u0935\u093f\u0938\u094d\u0924\u0943\u0924 \u0915\u094d\u0937\u0947\u0924\u094d\u0930<\/h2>\n<p>\u0939\u0940\u092a \u0921\u0947\u091f\u093e \u0938\u0902\u0930\u091a\u0928\u093e\u0913\u0902 \u0915\u094b \u092e\u0941\u0916\u094d\u092f \u0930\u0942\u092a \u0938\u0947 \u090f\u0915 \u092a\u094d\u0930\u0915\u093e\u0930 \u0915\u0940 \u0935\u0943\u0915\u094d\u0937-\u0906\u0927\u093e\u0930\u093f\u0924 \u0921\u0947\u091f\u093e \u0938\u0902\u0930\u091a\u0928\u093e \u0915\u0947 \u0930\u0942\u092a \u092e\u0947\u0902 \u0935\u0930\u094d\u0917\u0940\u0915\u0943\u0924 \u0915\u093f\u092f\u093e \u091c\u093e\u0924\u093e \u0939\u0948\u0964 \u0939\u0940\u092a \u090f\u0915 \u0935\u093f\u0936\u0947\u0937 \u0935\u0943\u0915\u094d\u0937-\u0906\u0927\u093e\u0930\u093f\u0924 \u0921\u0947\u091f\u093e \u0938\u0902\u0930\u091a\u0928\u093e \u0939\u0948 \u091c\u094b \u0939\u0940\u092a \u0938\u0902\u092a\u0924\u094d\u0924\u093f \u0915\u094b \u0938\u0902\u0924\u0941\u0937\u094d\u091f \u0915\u0930\u0924\u0940 \u0939\u0948\u0964 \u092f\u0939 \u0938\u0902\u092a\u0924\u094d\u0924\u093f \u0938\u0902\u0930\u091a\u0928\u093e \u092e\u0947\u0902 \u092e\u093e\u0924\u093e-\u092a\u093f\u0924\u093e-\u092c\u091a\u094d\u091a\u0947 \u0915\u0947 \u0930\u093f\u0936\u094d\u0924\u0947 \u0915\u0940 \u0935\u093f\u0936\u0947\u0937\u0924\u093e \u0939\u0948\u0964 \u0905\u0927\u093f\u0915\u0924\u092e \u0922\u0947\u0930 \u092e\u0947\u0902, \u092a\u094d\u0930\u0924\u094d\u092f\u0947\u0915 \u092a\u0948\u0930\u0947\u0902\u091f \u0928\u094b\u0921 \u0939\u092e\u0947\u0936\u093e \u0905\u092a\u0928\u0947 \u091a\u093e\u0907\u0932\u094d\u0921 \u0928\u094b\u0921\u094d\u0938 \u0938\u0947 \u092c\u0921\u093c\u093e \u092f\u093e \u0909\u0938\u0915\u0947 \u092c\u0930\u093e\u092c\u0930 \u0939\u094b\u0924\u093e \u0939\u0948\u0964 \u0907\u0938\u0915\u0947 \u0935\u093f\u092a\u0930\u0940\u0924, \u090f\u0915 \u0928\u094d\u092f\u0942\u0928\u0924\u092e \u0922\u0947\u0930 \u092e\u0947\u0902, \u092a\u094d\u0930\u0924\u094d\u092f\u0947\u0915 \u092e\u0942\u0932 \u0928\u094b\u0921 \u0905\u092a\u0928\u0947 \u092c\u091a\u094d\u091a\u0947 \u0928\u094b\u0921\u094d\u0938 \u0938\u0947 \u0915\u092e \u092f\u093e \u092c\u0930\u093e\u092c\u0930 \u0939\u094b\u0924\u093e \u0939\u0948\u0964<\/p>\n<p>\u0939\u0940\u092a \u0921\u0947\u091f\u093e \u0938\u0902\u0930\u091a\u0928\u093e \u0915\u093e \u0935\u094d\u092f\u093e\u092a\u0915 \u0930\u0942\u092a \u0938\u0947 \u0909\u092a\u092f\u094b\u0917 \u0915\u093f\u092f\u093e \u091c\u093e\u0924\u093e \u0939\u0948 \u0915\u094d\u092f\u094b\u0902\u0915\u093f \u092f\u0939 \u0906\u0907\u091f\u092e \u0915\u094b \u091c\u0932\u094d\u0926\u0940 \u0938\u0947 \u090f\u0915\u094d\u0938\u0947\u0938 \u0915\u0930\u0928\u0947, \u0921\u093e\u0932\u0928\u0947 \u0914\u0930 \u0939\u091f\u093e\u0928\u0947 \u0915\u0940 \u0915\u094d\u0937\u092e\u0924\u093e \u0930\u0916\u0924\u0940 \u0939\u0948, \u091c\u094b \u0915\u0908 \u090f\u0932\u094d\u0917\u094b\u0930\u093f\u0926\u092e\u093f\u0915 \u0938\u092e\u0938\u094d\u092f\u093e\u0913\u0902 \u0915\u0947 \u0932\u093f\u090f \u0915\u0941\u0936\u0932 \u0938\u092e\u093e\u0927\u093e\u0928 \u092a\u094d\u0930\u0926\u093e\u0928 \u0915\u0930\u0924\u0940 \u0939\u0948\u0964 \u0938\u092c\u0938\u0947 \u0909\u0932\u094d\u0932\u0947\u0916\u0928\u0940\u092f \u0905\u0928\u0941\u092a\u094d\u0930\u092f\u094b\u0917\u094b\u0902 \u092e\u0947\u0902 \u0938\u0947 \u0915\u0941\u091b \u092e\u0947\u0902 \u0938\u0949\u0930\u094d\u091f\u093f\u0902\u0917 \u090f\u0932\u094d\u0917\u094b\u0930\u093f\u0926\u092e \u0936\u093e\u092e\u093f\u0932 \u0939\u0948\u0902, \u091c\u0948\u0938\u0947 \u0915\u093f \u0939\u0940\u092a\u0938\u0949\u0930\u094d\u091f, \u092a\u094d\u0930\u093e\u0925\u092e\u093f\u0915\u0924\u093e \u0915\u0924\u093e\u0930, \u091a\u092f\u0928 \u090f\u0932\u094d\u0917\u094b\u0930\u093f\u0926\u092e (\u0921\u0947\u091f\u093e\u0938\u0947\u091f \u092e\u0947\u0902 \u0905\u0927\u093f\u0915\u0924\u092e, \u0928\u094d\u092f\u0942\u0928\u0924\u092e, \u092e\u093e\u0927\u094d\u092f\u093f\u0915\u093e \u092f\u093e kth \u0938\u092c\u0938\u0947 \u092c\u0921\u093c\u0940 \u0938\u0902\u0916\u094d\u092f\u093e \u0922\u0942\u0901\u0922\u0928\u093e), \u0914\u0930 \u0921\u093f\u091c\u094d\u0915\u0938\u094d\u091f\u094d\u0930\u093e \u092f\u093e \u092a\u094d\u0930\u093e\u0907\u092e \u091c\u0948\u0938\u0947 \u0917\u094d\u0930\u093e\u092b\u093c \u090f\u0932\u094d\u0917\u094b\u0930\u093f\u0926\u092e\u0964<\/p>\n<h2>\u0922\u0947\u0930 \u0915\u0940 \u0906\u0902\u0924\u0930\u093f\u0915 \u0915\u093e\u0930\u094d\u092f\u092a\u094d\u0930\u0923\u093e\u0932\u0940<\/h2>\n<p>\u090f\u0915 \u0922\u0947\u0930 \u0915\u094b \u0906\u092e \u0924\u094c\u0930 \u092a\u0930 \u090f\u0915 \u092c\u093e\u0907\u0928\u0930\u0940 \u091f\u094d\u0930\u0940 \u0915\u0947 \u0930\u0942\u092a \u092e\u0947\u0902 \u0926\u0947\u0916\u093e \u091c\u093e\u0924\u093e \u0939\u0948, \u091c\u0939\u093e\u0902 \u092a\u094d\u0930\u0924\u094d\u092f\u0947\u0915 \u0928\u094b\u0921 \u092e\u0947\u0902 \u0905\u0927\u093f\u0915\u0924\u092e \u0926\u094b \u092c\u091a\u094d\u091a\u0947 \u0939\u094b\u0924\u0947 \u0939\u0948\u0902\u0964 \u0922\u0947\u0930 \u0915\u0940 \u0938\u0902\u0930\u091a\u0928\u093e \u092f\u0939 \u0938\u0941\u0928\u093f\u0936\u094d\u091a\u093f\u0924 \u0915\u0930\u0924\u0940 \u0939\u0948 \u0915\u093f \u092a\u0947\u0921\u093c \u0939\u092e\u0947\u0936\u093e &#039;\u092a\u0942\u0930\u094d\u0923&#039; \u0939\u094b\u0964 \u0907\u0938\u0915\u093e \u092e\u0924\u0932\u092c \u092f\u0939 \u0939\u0948 \u0915\u093f \u092a\u0947\u0921\u093c \u0915\u093e \u092a\u094d\u0930\u0924\u094d\u092f\u0947\u0915 \u0938\u094d\u0924\u0930 \u092a\u0942\u0930\u0940 \u0924\u0930\u0939 \u0938\u0947 \u092d\u0930\u093e \u0939\u0941\u0906 \u0939\u0948, \u0938\u0902\u092d\u0935\u0924\u0903 \u0905\u0902\u0924\u093f\u092e \u0938\u094d\u0924\u0930 \u0915\u094b \u091b\u094b\u0921\u093c\u0915\u0930, \u091c\u094b \u092c\u093e\u090f\u0902 \u0938\u0947 \u0926\u093e\u090f\u0902 \u092d\u0930\u093e \u0939\u0941\u0906 \u0939\u0948\u0964<\/p>\n<p>\u0922\u0947\u0930 \u092a\u0930 \u0905\u0927\u093f\u0915\u0924\u092e \u092f\u093e \u0928\u094d\u092f\u0942\u0928\u0924\u092e \u0924\u0924\u094d\u0935 \u0915\u0947 \u0938\u092e\u094d\u092e\u093f\u0932\u0928, \u0935\u093f\u0932\u094b\u092a\u0928 \u0914\u0930 \u0928\u093f\u0937\u094d\u0915\u0930\u094d\u0937\u0923 \u091c\u0948\u0938\u0947 \u0938\u0902\u091a\u093e\u0932\u0928 \u0915\u094b \u0932\u0949\u0917\u0930\u093f\u0926\u092e\u093f\u0915 \u0938\u092e\u092f \u091c\u091f\u093f\u0932\u0924\u093e \u092e\u0947\u0902 \u0915\u093f\u092f\u093e \u091c\u093e \u0938\u0915\u0924\u093e \u0939\u0948, \u091c\u093f\u0938\u0938\u0947 \u0922\u0947\u0930 \u0915\u0908 \u0905\u0928\u0941\u092a\u094d\u0930\u092f\u094b\u0917\u094b\u0902 \u0915\u0947 \u0932\u093f\u090f \u0915\u0941\u0936\u0932 \u0939\u094b \u091c\u093e\u0924\u093e \u0939\u0948\u0964<\/p>\n<h2>\u0939\u0940\u092a \u0921\u0947\u091f\u093e \u0938\u0902\u0930\u091a\u0928\u093e\u0913\u0902 \u0915\u0940 \u092e\u0941\u0916\u094d\u092f \u0935\u093f\u0936\u0947\u0937\u0924\u093e\u090f\u0902<\/h2>\n<ul>\n<li><strong>\u0922\u0947\u0930 \u0938\u0902\u092a\u0924\u094d\u0924\u093f<\/strong>: \u092f\u0939 \u0922\u0947\u0930 \u0915\u0940 \u092e\u0941\u0916\u094d\u092f \u0938\u0902\u092a\u0924\u094d\u0924\u093f \u0939\u0948, \u091c\u094b \u092e\u0942\u0932 \u0928\u094b\u0921\u094d\u0938 \u0914\u0930 \u0909\u0928\u0915\u0947 \u092c\u091a\u094d\u091a\u094b\u0902 \u0915\u0947 \u092c\u0940\u091a \u0938\u0902\u092c\u0902\u0927 \u0915\u094b \u092a\u0930\u093f\u092d\u093e\u0937\u093f\u0924 \u0915\u0930\u0924\u0940 \u0939\u0948\u0964 \u0938\u0902\u092a\u0924\u094d\u0924\u093f \u0907\u0938 \u0906\u0927\u093e\u0930 \u092a\u0930 \u092d\u093f\u0928\u094d\u0928 \u0939\u094b\u0924\u0940 \u0939\u0948 \u0915\u093f \u0922\u0947\u0930 \u0928\u094d\u092f\u0942\u0928\u0924\u092e \u0922\u0947\u0930 \u0939\u0948 \u092f\u093e \u0905\u0927\u093f\u0915\u0924\u092e \u0922\u0947\u0930 \u0939\u0948\u0964<\/li>\n<li><strong>\u0915\u094d\u0937\u092e\u0924\u093e<\/strong>: \u0905\u0927\u093f\u0915\u093e\u0902\u0936 \u092e\u093e\u092e\u0932\u094b\u0902 \u092e\u0947\u0902 O(\u0932\u0949\u0917 \u090f\u0928) \u0915\u0940 \u0938\u092e\u092f \u091c\u091f\u093f\u0932\u0924\u093e \u0915\u0947 \u0938\u093e\u0925, \u0938\u092e\u094d\u092e\u093f\u0932\u0928, \u0935\u093f\u0932\u094b\u092a\u0928 \u0914\u0930 \u0905\u0927\u093f\u0915\u0924\u092e\/\u0928\u094d\u092f\u0942\u0928\u0924\u092e \u0924\u0924\u094d\u0935\u094b\u0902 \u0924\u0915 \u092a\u0939\u0941\u0902\u091a\u0928\u0947 \u091c\u0948\u0938\u0947 \u0938\u0902\u091a\u093e\u0932\u0928 \u0905\u092a\u0947\u0915\u094d\u0937\u093e\u0915\u0943\u0924 \u0924\u0947\u091c\u093c\u0940 \u0938\u0947 \u0915\u093f\u090f \u091c\u093e \u0938\u0915\u0924\u0947 \u0939\u0948\u0902\u0964<\/li>\n<li><strong>\u0938\u094d\u092e\u0943\u0924\u093f \u092a\u094d\u0930\u092f\u094b\u0917<\/strong>: \u091a\u0942\u0902\u0915\u093f \u0939\u0940\u092a\u094d\u0938 \u0915\u094b \u0906\u092e \u0924\u094c\u0930 \u092a\u0930 \u0938\u0930\u0923\u093f\u092f\u094b\u0902 \u0915\u093e \u0909\u092a\u092f\u094b\u0917 \u0915\u0930\u0915\u0947 \u0915\u093e\u0930\u094d\u092f\u093e\u0928\u094d\u0935\u093f\u0924 \u0915\u093f\u092f\u093e \u091c\u093e\u0924\u093e \u0939\u0948, \u0935\u0947 \u0938\u094d\u0925\u093e\u0928-\u0915\u0941\u0936\u0932 \u0939\u094b\u0924\u0947 \u0939\u0948\u0902 \u0914\u0930 \u0928\u094d\u092f\u0942\u0928\u0924\u092e \u092e\u0947\u092e\u094b\u0930\u0940 \u0913\u0935\u0930\u0939\u0947\u0921 \u0939\u094b\u0924\u0947 \u0939\u0948\u0902\u0964<\/li>\n<\/ul>\n<h2>\u0922\u0947\u0930 \u0921\u0947\u091f\u093e \u0938\u0902\u0930\u091a\u0928\u093e\u0913\u0902 \u0915\u0947 \u092a\u094d\u0930\u0915\u093e\u0930<\/h2>\n<p>\u0922\u0947\u0930 \u0921\u0947\u091f\u093e \u0938\u0902\u0930\u091a\u0928\u093e\u090f\u0902 \u0935\u093f\u092d\u093f\u0928\u094d\u0928 \u092a\u094d\u0930\u0915\u093e\u0930 \u0915\u0940 \u0939\u094b\u0924\u0940 \u0939\u0948\u0902, \u091c\u093f\u0928\u092e\u0947\u0902 \u0938\u0947 \u092a\u094d\u0930\u0924\u094d\u092f\u0947\u0915 \u0915\u0947 \u0905\u092a\u0928\u0947 \u0935\u093f\u0936\u093f\u0937\u094d\u091f \u0909\u092a\u092f\u094b\u0917 \u092e\u093e\u092e\u0932\u0947 \u0914\u0930 \u0917\u0941\u0923 \u0939\u094b\u0924\u0947 \u0939\u0948\u0902\u0964<\/p>\n<ol>\n<li>\n<p><strong>\u092c\u093e\u0907\u0928\u0930\u0940 \u0922\u0947\u0930<\/strong>: \u092f\u0939 \u0939\u0940\u092a \u0915\u093e \u0938\u092c\u0938\u0947 \u0938\u093e\u092e\u093e\u0928\u094d\u092f \u092a\u094d\u0930\u0915\u093e\u0930 \u0939\u0948, \u091c\u093f\u0938\u0947 \u0906\u0917\u0947 \u0926\u094b \u092a\u094d\u0930\u0915\u093e\u0930\u094b\u0902 \u092e\u0947\u0902 \u0935\u093f\u092d\u093e\u091c\u093f\u0924 \u0915\u093f\u092f\u093e \u091c\u093e \u0938\u0915\u0924\u093e \u0939\u0948, \u092e\u0948\u0915\u094d\u0938-\u0939\u0940\u092a \u0914\u0930 \u092e\u093f\u0928-\u0939\u0940\u092a, \u092f\u0939 \u0907\u0938 \u092a\u0930 \u0928\u093f\u0930\u094d\u092d\u0930 \u0915\u0930\u0924\u093e \u0939\u0948 \u0915\u093f \u092e\u0942\u0932 \u0928\u094b\u0921 \u091a\u093e\u0907\u0932\u094d\u0921 \u0928\u094b\u0921\u094d\u0938 \u0938\u0947 \u092c\u0921\u093c\u093e \u0939\u0948 \u092f\u093e \u091b\u094b\u091f\u093e\u0964<\/p>\n<\/li>\n<li>\n<p><strong>\u092b\u093e\u0907\u092c\u094b\u0928\u0948\u091a\u093f \u0922\u0947\u0930<\/strong>\u092f\u0939 \u0939\u0940\u092a \u0921\u0947\u091f\u093e \u0938\u0902\u0930\u091a\u0928\u093e \u092c\u093e\u0907\u0928\u0930\u0940 \u0939\u0940\u092a \u0915\u0940 \u0924\u0941\u0932\u0928\u093e \u092e\u0947\u0902 \u0915\u0908 \u0915\u093e\u0930\u094d\u092f\u094b\u0902 \u0915\u0947 \u0932\u093f\u090f \u092c\u0947\u0939\u0924\u0930 \u092a\u0930\u093f\u0936\u094b\u0927\u093f\u0924 \u0930\u0928\u093f\u0902\u0917 \u0938\u092e\u092f \u092a\u094d\u0930\u0926\u093e\u0928 \u0915\u0930\u0924\u0940 \u0939\u0948\u0964<\/p>\n<\/li>\n<li>\n<p><strong>\u0926\u094d\u0935\u093f\u092a\u0926 \u0922\u0947\u0930<\/strong>: \u092c\u093e\u0907\u0928\u0930\u0940 \u0939\u0940\u092a \u0915\u0947 \u0938\u092e\u093e\u0928 \u0932\u0947\u0915\u093f\u0928 \u0926\u094b \u0939\u0940\u092a\u094d\u0938 \u0915\u0947 \u0924\u094d\u0935\u0930\u093f\u0924 \u0935\u093f\u0932\u092f \u0915\u093e \u092d\u0940 \u0938\u092e\u0930\u094d\u0925\u0928 \u0915\u0930\u0924\u093e \u0939\u0948\u0964<\/p>\n<\/li>\n<li>\n<p><strong>\u092f\u0941\u0917\u094d\u092e\u0928 \u0922\u0947\u0930<\/strong>: \u0907\u0938 \u092a\u094d\u0930\u0915\u093e\u0930 \u0915\u093e \u0922\u0947\u0930 \u092b\u093e\u0907\u092c\u094b\u0928\u0948\u091a\u093f \u0922\u0947\u0930 \u0915\u093e \u0938\u0930\u0932\u0940\u0915\u0943\u0924 \u0930\u0942\u092a \u0939\u0948 \u0914\u0930 \u0915\u0941\u091b \u0909\u092a\u092f\u094b\u0917 \u0915\u0947 \u092e\u093e\u092e\u0932\u094b\u0902 \u0915\u0947 \u0932\u093f\u090f \u0915\u0941\u0936\u0932 \u0938\u0902\u091a\u093e\u0932\u0928 \u092a\u094d\u0930\u0926\u093e\u0928 \u0915\u0930\u0924\u093e \u0939\u0948\u0964<\/p>\n<\/li>\n<\/ol>\n<h2>\u0939\u0940\u092a \u0921\u0947\u091f\u093e \u0938\u0902\u0930\u091a\u0928\u093e\u0913\u0902 \u0915\u093e \u0909\u092a\u092f\u094b\u0917 \u0915\u0930\u0928\u093e: \u091a\u0941\u0928\u094c\u0924\u093f\u092f\u093e\u0901 \u0914\u0930 \u0938\u092e\u093e\u0927\u093e\u0928<\/h2>\n<p>\u091c\u092c\u0915\u093f \u0922\u0947\u0930 \u0915\u0908 \u0932\u093e\u092d \u092a\u094d\u0930\u0926\u093e\u0928 \u0915\u0930\u0924\u0947 \u0939\u0948\u0902, \u0909\u0928\u0915\u0947 \u0909\u092a\u092f\u094b\u0917 \u092e\u0947\u0902 \u0915\u0941\u091b \u091a\u0941\u0928\u094c\u0924\u093f\u092f\u093e\u0901 \u0909\u0924\u094d\u092a\u0928\u094d\u0928 \u0939\u094b \u0938\u0915\u0924\u0940 \u0939\u0948\u0902\u0964 \u092a\u094d\u0930\u093e\u0925\u092e\u093f\u0915 \u0915\u0920\u093f\u0928\u093e\u0908 \u0906\u092e\u0924\u094c\u0930 \u092a\u0930 \u092a\u0942\u0930\u0947 \u0911\u092a\u0930\u0947\u0936\u0928 \u0915\u0947 \u0926\u094c\u0930\u093e\u0928 \u0922\u0947\u0930 \u0938\u0902\u092a\u0924\u094d\u0924\u093f \u0915\u094b \u092c\u0928\u093e\u090f \u0930\u0916\u0928\u0947 \u092e\u0947\u0902 \u0939\u094b\u0924\u0940 \u0939\u0948\u0964 \u0907\u0938 \u0938\u092e\u0938\u094d\u092f\u093e \u0915\u094b \u0909\u091a\u093f\u0924 \u0939\u0940\u092a\u092b\u093e\u0908 \u092a\u094d\u0930\u0915\u094d\u0930\u093f\u092f\u093e\u0913\u0902 \u0915\u093e \u0909\u092a\u092f\u094b\u0917 \u0915\u0930\u0915\u0947 \u0938\u0902\u092c\u094b\u0927\u093f\u0924 \u0915\u093f\u092f\u093e \u091c\u093e \u0938\u0915\u0924\u093e \u0939\u0948, \u091c\u094b \u092a\u094d\u0930\u0924\u094d\u092f\u0947\u0915 \u0911\u092a\u0930\u0947\u0936\u0928 \u0915\u0947 \u092c\u093e\u0926 \u0939\u0940\u092a \u0938\u0902\u092a\u0924\u094d\u0924\u093f \u0915\u094b \u092c\u0939\u093e\u0932 \u0915\u0930\u0928\u0947 \u092e\u0947\u0902 \u092e\u0926\u0926 \u0915\u0930\u0924\u093e \u0939\u0948\u0964<\/p>\n<h2>\u0938\u092e\u093e\u0928 \u0938\u0902\u0930\u091a\u0928\u093e\u0913\u0902 \u0915\u0947 \u0938\u093e\u0925 \u0922\u0947\u0930 \u0915\u0940 \u0924\u0941\u0932\u0928\u093e<\/h2>\n<p>\u091c\u092c\u0915\u093f \u0922\u0947\u0930 \u0905\u0928\u094d\u092f \u0935\u0943\u0915\u094d\u0937-\u0906\u0927\u093e\u0930\u093f\u0924 \u0938\u0902\u0930\u091a\u0928\u093e\u0913\u0902, \u091c\u0948\u0938\u0947 \u092c\u093e\u0907\u0928\u0930\u0940 \u0938\u0930\u094d\u091a \u091f\u094d\u0930\u0940 (\u092c\u0940\u090f\u0938\u091f\u0940) \u0915\u0947 \u0938\u092e\u093e\u0928 \u0926\u093f\u0916\u093e\u0908 \u0926\u0947 \u0938\u0915\u0924\u0947 \u0939\u0948\u0902, \u0909\u0928\u092e\u0947\u0902 \u0905\u0932\u0917-\u0905\u0932\u0917 \u0905\u0902\u0924\u0930 \u0939\u0948\u0902:<\/p>\n<ul>\n<li><strong>\u0906\u0926\u0947\u0936<\/strong>: \u092c\u0940\u090f\u0938\u091f\u0940 \u092e\u0947\u0902, \u092c\u093e\u092f\u093e\u0902 \u092c\u091a\u094d\u091a\u093e \u0928\u094b\u0921 \u092e\u093e\u0924\u093e-\u092a\u093f\u0924\u093e \u0938\u0947 \u0915\u092e \u0939\u0948, \u0914\u0930 \u0926\u093e\u092f\u093e\u0902 \u092c\u091a\u094d\u091a\u093e \u0905\u0927\u093f\u0915 \u0939\u0948\u0964 \u090f\u0915 \u0922\u0947\u0930 \u092e\u0947\u0902, \u0926\u094b\u0928\u094b\u0902 \u092c\u091a\u094d\u091a\u0947 \u092f\u093e \u0924\u094b \u092e\u093e\u0924\u093e-\u092a\u093f\u0924\u093e \u0938\u0947 (\u0928\u094d\u092f\u0942\u0928\u0924\u092e \u0922\u0947\u0930) \u0938\u0947 \u092c\u0921\u093c\u0947 \u0939\u0948\u0902 \u092f\u093e (\u0905\u0927\u093f\u0915\u0924\u092e \u0922\u0947\u0930) \u0938\u0947 \u0915\u092e \u0939\u0948\u0902\u0964<\/li>\n<li><strong>\u0938\u0902\u0930\u091a\u0928\u093e<\/strong>\u092c\u0940\u090f\u0938\u091f\u0940 \u0915\u094b \u092c\u093e\u0907\u0928\u0930\u0940 \u0935\u0943\u0915\u094d\u0937 \u0939\u094b\u0928\u093e \u091a\u093e\u0939\u093f\u090f, \u0932\u0947\u0915\u093f\u0928 \u091c\u0930\u0942\u0930\u0940 \u0928\u0939\u0940\u0902 \u0915\u093f \u0935\u0939 \u092a\u0942\u0930\u094d\u0923 \u0939\u094b, \u091c\u092c\u0915\u093f \u0939\u0940\u092a \u0915\u094b \u092a\u0942\u0930\u094d\u0923 \u092c\u093e\u0907\u0928\u0930\u0940 \u0935\u0943\u0915\u094d\u0937 \u0939\u094b\u0928\u093e \u091a\u093e\u0939\u093f\u090f\u0964<\/li>\n<li><strong>\u0916\u094b\u091c<\/strong>: \u092c\u0940\u090f\u0938\u091f\u0940 \u0915\u0941\u0936\u0932 \u0916\u094b\u091c \u0911\u092a\u0930\u0947\u0936\u0928 (\u0913(\u0932\u0949\u0917 \u090f\u0928)) \u092a\u094d\u0930\u0926\u093e\u0928 \u0915\u0930\u0924\u0947 \u0939\u0948\u0902, \u091c\u092c\u0915\u093f \u0939\u0940\u092a\u094d\u0938 \u092e\u0947\u0902 \u0915\u0941\u0936\u0932 \u0938\u093e\u092e\u093e\u0928\u094d\u092f \u0916\u094b\u091c \u0928\u0939\u0940\u0902 \u0939\u094b\u0924\u0940 \u0939\u0948\u0964<\/li>\n<\/ul>\n<h2>\u0922\u0947\u0930\u094b\u0902 \u092a\u0930 \u092d\u0935\u093f\u0937\u094d\u092f \u0915\u0947 \u092a\u0930\u093f\u092a\u094d\u0930\u0947\u0915\u094d\u0937\u094d\u092f<\/h2>\n<p>\u0939\u0940\u092a \u0921\u0947\u091f\u093e \u0938\u0902\u0930\u091a\u0928\u093e\u0913\u0902 \u0915\u0947 \u092a\u0940\u091b\u0947 \u0915\u0947 \u092e\u0942\u0932 \u0938\u093f\u0926\u094d\u0927\u093e\u0902\u0924 \u0938\u092e\u092f \u0915\u0940 \u0915\u0938\u094c\u091f\u0940 \u092a\u0930 \u0916\u0930\u0947 \u0909\u0924\u0930\u0947 \u0939\u0948\u0902\u0964 \u0939\u093e\u0932\u093e\u0901\u0915\u093f, \u0921\u0947\u091f\u093e \u092a\u094d\u0930\u092c\u0902\u0927\u0928, \u092d\u0902\u0921\u093e\u0930\u0923 \u092a\u094d\u0930\u094c\u0926\u094d\u092f\u094b\u0917\u093f\u0915\u0940 \u0914\u0930 \u0917\u0923\u0928\u093e \u092a\u094d\u0930\u0924\u093f\u092e\u093e\u0928\u094b\u0902 \u092e\u0947\u0902 \u092a\u094d\u0930\u0917\u0924\u093f \u0932\u0917\u093e\u0924\u093e\u0930 \u0922\u0947\u0930 \u0915\u0947 \u0932\u093f\u090f \u0928\u090f \u0905\u0928\u0941\u0915\u0942\u0932\u0928 \u0914\u0930 \u0909\u092a\u092f\u094b\u0917 \u0915\u094b \u092a\u094d\u0930\u0947\u0930\u093f\u0924 \u0915\u0930\u0924\u0940 \u0939\u0948\u0964 \u092e\u0936\u0940\u0928 \u0932\u0930\u094d\u0928\u093f\u0902\u0917, \u0930\u0940\u092f\u0932-\u091f\u093e\u0907\u092e \u090f\u0928\u093e\u0932\u093f\u091f\u093f\u0915\u094d\u0938 \u0914\u0930 \u091c\u091f\u093f\u0932 \u0907\u0935\u0947\u0902\u091f \u092a\u094d\u0930\u094b\u0938\u0947\u0938\u093f\u0902\u0917 \u0938\u093f\u0938\u094d\u091f\u092e \u091c\u0948\u0938\u0947 \u0909\u092d\u0930\u0924\u0947 \u0915\u094d\u0937\u0947\u0924\u094d\u0930 \u0915\u0941\u0936\u0932 \u092a\u094d\u0930\u093e\u0925\u092e\u093f\u0915\u0924\u093e \u0915\u0924\u093e\u0930 \u0938\u0902\u091a\u093e\u0932\u0928 \u0914\u0930 \u0936\u0947\u0921\u094d\u092f\u0942\u0932\u093f\u0902\u0917 \u0915\u0947 \u0932\u093f\u090f \u0922\u0947\u0930 \u092a\u0930 \u0928\u093f\u0930\u094d\u092d\u0930 \u0939\u0948\u0902\u0964<\/p>\n<h2>\u0939\u0940\u092a \u0914\u0930 \u092a\u094d\u0930\u0949\u0915\u094d\u0938\u0940 \u0938\u0930\u094d\u0935\u0930<\/h2>\n<p>OneProxy \u0926\u094d\u0935\u093e\u0930\u093e \u092a\u094d\u0930\u0926\u093e\u0928 \u0915\u093f\u090f \u0917\u090f \u092a\u094d\u0930\u0949\u0915\u094d\u0938\u0940 \u0938\u0930\u094d\u0935\u0930\u094b\u0902 \u0915\u0947 \u0938\u0902\u0926\u0930\u094d\u092d \u092e\u0947\u0902, \u0905\u0928\u0941\u0930\u094b\u0927 \u092a\u094d\u0930\u0938\u0902\u0938\u094d\u0915\u0930\u0923 \u0915\u0947 \u0932\u093f\u090f \u092a\u094d\u0930\u093e\u0925\u092e\u093f\u0915\u0924\u093e \u0915\u0924\u093e\u0930\u094b\u0902 \u0915\u094b \u0938\u0902\u092d\u093e\u0932\u0928\u0947 \u092e\u0947\u0902 \u0939\u0940\u092a\u094d\u0938 \u0915\u093e \u0938\u0902\u092d\u093e\u0935\u093f\u0924 \u0930\u0942\u092a \u0938\u0947 \u0909\u092a\u092f\u094b\u0917 \u0915\u093f\u092f\u093e \u091c\u093e\u0924\u093e \u0939\u0948\u0964 \u090f\u0915 \u092a\u094d\u0930\u0949\u0915\u094d\u0938\u0940 \u0938\u0930\u094d\u0935\u0930 \u092c\u0921\u093c\u0940 \u0938\u0902\u0916\u094d\u092f\u093e \u092e\u0947\u0902 \u0938\u092e\u0935\u0930\u094d\u0924\u0940 \u0905\u0928\u0941\u0930\u094b\u0927 \u092a\u094d\u0930\u093e\u092a\u094d\u0924 \u0915\u0930 \u0938\u0915\u0924\u093e \u0939\u0948, \u0914\u0930 \u0907\u0928 \u0905\u0928\u0941\u0930\u094b\u0927\u094b\u0902 \u0915\u094b \u092a\u094d\u0930\u092d\u093e\u0935\u0940 \u0922\u0902\u0917 \u0938\u0947 \u092a\u094d\u0930\u092c\u0902\u0927\u093f\u0924 \u0915\u0930\u0928\u093e \u092e\u0939\u0924\u094d\u0935\u092a\u0942\u0930\u094d\u0923 \u0939\u094b \u091c\u093e\u0924\u093e \u0939\u0948\u0964 \u0939\u0940\u092a \u0921\u0947\u091f\u093e \u0938\u0902\u0930\u091a\u0928\u093e \u0915\u093e \u0909\u092a\u092f\u094b\u0917 \u0915\u0941\u0936\u0932 \u092a\u094d\u0930\u093e\u0925\u092e\u093f\u0915\u0924\u093e \u0915\u0924\u093e\u0930 \u092a\u094d\u0930\u0923\u093e\u0932\u093f\u092f\u094b\u0902 \u0915\u0947 \u0915\u093e\u0930\u094d\u092f\u093e\u0928\u094d\u0935\u092f\u0928 \u0915\u0940 \u0905\u0928\u0941\u092e\u0924\u093f \u0926\u0947\u0924\u093e \u0939\u0948, \u092f\u0939 \u0938\u0941\u0928\u093f\u0936\u094d\u091a\u093f\u0924 \u0915\u0930\u0924\u0947 \u0939\u0941\u090f \u0915\u093f \u0909\u091a\u094d\u091a-\u092a\u094d\u0930\u093e\u0925\u092e\u093f\u0915\u0924\u093e \u0935\u093e\u0932\u0947 \u0905\u0928\u0941\u0930\u094b\u0927\u094b\u0902 \u0915\u094b \u092a\u0939\u0932\u0947 \u0938\u0902\u0938\u093e\u0927\u093f\u0924 \u0915\u093f\u092f\u093e \u091c\u093e\u0924\u093e \u0939\u0948\u0964<\/p>\n<h2>\u0938\u092e\u094d\u092c\u0902\u0927\u093f\u0924 \u0932\u093f\u0902\u0915\u094d\u0938<\/h2>\n<p>\u0939\u0940\u092a \u0921\u0947\u091f\u093e \u0938\u0902\u0930\u091a\u0928\u093e\u0913\u0902 \u092a\u0930 \u0905\u0927\u093f\u0915 \u091c\u093e\u0928\u0915\u093e\u0930\u0940 \u0915\u0947 \u0932\u093f\u090f, \u0906\u092a \u0928\u093f\u092e\u094d\u0928\u0932\u093f\u0916\u093f\u0924 \u0938\u0902\u0938\u093e\u0927\u0928\u094b\u0902 \u092a\u0930 \u091c\u093e \u0938\u0915\u0924\u0947 \u0939\u0948\u0902:<\/p>\n<ol>\n<li><a href=\"https:\/\/en.wikipedia.org\/wiki\/Heap_(data_structure)\" target=\"_new\" rel=\"noopener nofollow\">\u0935\u093f\u0915\u093f\u092a\u0940\u0921\u093f\u092f\u093e \u092a\u0930 \u0922\u0947\u0930 \u0921\u0947\u091f\u093e \u0938\u0902\u0930\u091a\u0928\u093e\u090f\u0901<\/a><\/li>\n<li><a href=\"https:\/\/www.geeksforgeeks.org\/binary-heap\/\" target=\"_new\" rel=\"noopener nofollow\">GeeksforGeeks \u092a\u0930 \u092c\u093e\u0907\u0928\u0930\u0940 \u0939\u0940\u092a\u094d\u0938<\/a><\/li>\n<li><a href=\"https:\/\/www.programiz.com\/dsa\/heap\" target=\"_new\" rel=\"noopener nofollow\">\u092a\u094d\u0930\u094b\u0917\u094d\u0930\u093e\u092e\u093f\u091c\u093c \u092a\u0930 \u0922\u0947\u0930 \u0921\u0947\u091f\u093e \u0938\u0902\u0930\u091a\u0928\u093e<\/a><\/li>\n<li><a href=\"https:\/\/www.khanacademy.org\/computing\/computer-science\/algorithms#heaps-algorithm\" target=\"_new\" rel=\"noopener nofollow\">\u0916\u093e\u0928 \u0905\u0915\u093e\u0926\u092e\u0940 \u092a\u0930 \u0939\u0940\u092a\u0938\u0949\u0930\u094d\u091f \u0915\u094b \u0938\u092e\u091d\u0928\u093e<\/a><\/li>\n<\/ol>","protected":false},"featured_media":468525,"menu_order":0,"template":"","meta":{"_acf_changed":false,"content-type":"","inline_featured_image":false,"footnotes":""},"class_list":["post-477437","wiki","type-wiki","status-publish","has-post-thumbnail","hentry"],"acf":{"faq_title":"Frequently Asked Questions about <mark>An In-Depth Exploration of Heap Data Structures<\/mark>","faq_items":[{"question":"What is a heap data structure?","answer":"<p>A heap data structure is a type of specialized tree-based data structure that satisfies the heap property. This property ensures a specific parent-child relationship in the structure, where in a max heap, each parent node is always larger than or equal to its child nodes, and in a min heap, each parent node is less than or equal to its child nodes.<\/p>"},{"question":"Who were the early developers of heap data structures?","answer":"<p>The heap data structure was first introduced by J. W. J. Williams in 1964, primarily for the heapsort sorting algorithm. Later in the same year, R. W. Floyd further expanded on the concept and used heaps to design an efficient algorithm for partial order sorting, known as Floyd's Algorithm.<\/p>"},{"question":"How does a heap work?","answer":"<p>A heap is usually visualized as a binary tree, where each node has at most two children. The structure of a heap ensures that the tree is always 'complete'. The heap property ensures a specific order between parent and child nodes. Operations on a heap such as insertions, deletions, and extraction of the maximum or minimum element can be performed in logarithmic time complexity, making heaps efficient for many applications.<\/p>"},{"question":"What are some of the key features of heap data structures?","answer":"<p>Key features of heap data structures include the heap property, efficiency, and optimal memory usage. The heap property defines the relationship between parent nodes and their children. Heaps offer efficiency for operations like insertion, deletion, and accessing max\/min elements, with a time complexity of O(log n) in most cases. As heaps are typically implemented using arrays, they are also space-efficient and have minimal memory overhead.<\/p>"},{"question":"What are the different types of heap data structures?","answer":"<p>Heap data structures can be classified into several types, including Binary Heap, Fibonacci Heap, Binomial Heap, and Pairing Heap. Each type has its specific use cases and properties.<\/p>"},{"question":"What challenges can be encountered when using heaps and how are they addressed?","answer":"<p>The primary challenge in using heaps often lies in maintaining the heap property throughout operations. This issue can be mitigated by using appropriate heapify procedures, which help restore the heap property after each operation.<\/p>"},{"question":"How do heap data structures relate to proxy servers like OneProxy?","answer":"<p>In the context of proxy servers like OneProxy, heaps can be used in handling priority queues for request processing. By implementing efficient priority queue systems using heap data structures, high-priority requests can be processed before lower priority ones.<\/p>"},{"question":"What is the future of heap data structures?","answer":"<p>The principles of heap data structures have remained relatively stable over the years, but they continue to find new applications with advancements in technology. Fields like machine learning, real-time analytics, and complex event processing systems often rely on heaps for efficient priority queue operations and scheduling.<\/p>"},{"question":"Where can I find more information on heap data structures?","answer":"<p>For more detailed information on heap data structures, you can visit resources such as Heap Data Structures on Wikipedia, Binary Heaps on GeeksforGeeks, Heap Data Structure on Programiz, or Understanding Heapsort on Khan Academy.<\/p>"}]},"_links":{"self":[{"href":"https:\/\/oneproxy.pro\/in\/wp-json\/wp\/v2\/wiki\/477437","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\/477437\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/oneproxy.pro\/in\/wp-json\/wp\/v2\/media\/468525"}],"wp:attachment":[{"href":"https:\/\/oneproxy.pro\/in\/wp-json\/wp\/v2\/media?parent=477437"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}