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\u0645\u0648\u062c\u0648\u062f \u06c1\u06d2\u06d4 \u0627\u0633\u06d2 \u06a9\u0648\u0626\u06cc \u063a\u0644\u0637 \u0645\u0646\u0641\u06cc \u06a9\u06c1\u0627 \u062c\u0627\u062a\u0627 \u06c1\u06d2\u06d4<\/p>\n<p>\u06a9\u0628\u06be\u06cc \u06a9\u0628\u06be\u06cc \u0622\u067e \u06a9\u06c1\u06c1 \u0633\u06a9\u062a\u06d2 \u06c1\u06cc\u06ba \u06a9\u06c1 \u06a9\u0686\u06be \u0645\u0648\u062c\u0648\u062f \u06c1\u06d2 \u062c\u0628 \u0648\u06c1 \u0648\u0627\u0642\u0639\u06cc \u0646\u06c1\u06cc\u06ba \u06c1\u06d2\u06d4 \u0627\u0633\u06d2 \u063a\u0644\u0637 \u0645\u062b\u0628\u062a \u06a9\u06c1\u0627 \u062c\u0627\u062a\u0627 \u06c1\u06d2\u06d4 \u062c\u0633 \u0634\u0631\u062d \u0633\u06d2 \u06cc\u06c1 \u06c1\u0648\u062a\u0627 \u06c1\u06d2 \u0648\u06c1 \u0686\u06be\u0648\u0679\u0627\u060c \u06a9\u0646\u0679\u0631\u0648\u0644 \u0634\u062f\u06c1\u060c \u0627\u0648\u0631 \u0631\u06cc\u0627\u0636\u06cc \u06a9\u06d2 \u0644\u062d\u0627\u0638 \u0633\u06d2 \u0642\u0627\u0628\u0644 \u067e\u06cc\u0634\u0646 \u06af\u0648\u0626\u06cc \u06c1\u06d2\u06d4<\/p>\n<p>\u06cc\u06c1 \u062a\u0648\u0627\u0632\u0646 \u0628\u0644\u0648\u0645 \u0641\u0644\u0679\u0631\u0632 \u06a9\u0648 \u06a9\u0627\u0631\u0622\u0645\u062f \u0628\u0646\u0627\u062a\u0627 \u06c1\u06d2\u06d4 \u062c\u0648\u0627\u0628 &quot;\u06cc\u0642\u06cc\u0646\u06cc \u0637\u0648\u0631 \u067e\u0631 \u06cc\u06c1\u0627\u06ba \u0646\u06c1\u06cc\u06ba&#8221; \u0642\u0627\u0628\u0644 \u0627\u0639\u062a\u0645\u0627\u062f \u06c1\u06d2\u06d4 \u062c\u0648\u0627\u0628 &quot;\u0634\u0627\u06cc\u062f \u06cc\u06c1\u0627\u06ba&#8221; \u06a9\u06c1\u06cc\u06ba \u0627\u0648\u0631 \u062c\u0627\u0646\u06d2 \u06a9\u0627 \u0627\u0634\u0627\u0631\u06c1 \u06c1\u06d2\u06d4<\/p>\n<h2 id=\"heading-the-two-components-of-a-bloom-filter\">\u0628\u0644\u0648\u0645 \u0641\u0644\u0679\u0631 \u06a9\u06d2 \u062f\u0648 \u0627\u062c\u0632\u0627\u0621<\/h2>\n<p>\u0628\u0644\u0648\u0645 \u0641\u0644\u0679\u0631 \u062f\u0648 \u0686\u06cc\u0632\u0648\u06ba \u067e\u0631 \u0645\u0634\u062a\u0645\u0644 \u06c1\u0648\u062a\u0627 \u06c1\u06d2:<\/p>\n<h4 id=\"heading-1-a-bit-array\">1. \u0628\u0679 \u06a9\u0627 \u0627\u0646\u062a\u0638\u0627\u0645<\/h4>\n<p>\u062a\u0645\u0627\u0645 \u0632\u06cc\u0631\u0648 \u067e\u0631 \u0634\u0631\u0648\u0639 \u06a9\u06cc \u06af\u0626\u06cc \u0628\u0679\u0633 \u06a9\u06cc \u0627\u06cc\u06a9 \u0645\u0642\u0631\u0631\u06c1 \u0633\u0627\u0626\u0632 \u06a9\u06cc \u0635\u0641\u06d4 \u06cc\u06c1 \u0641\u0644\u0679\u0631 \u06a9\u06d2 \u0644\u06cc\u06d2 \u06a9\u0644 \u0627\u0633\u0679\u0648\u0631\u06cc\u062c \u06a9\u06cc \u062c\u06af\u06c1 \u06c1\u06d2\u06d4 \u06cc\u06c1 \u06a9\u0648\u0626\u06cc \u062a\u0627\u0631 \u06cc\u0627 \u0634\u06d2 \u0646\u06c1\u06cc\u06ba \u06c1\u06d2\u060c \u06cc\u06c1 \u0635\u0631\u0641 \u0628\u0679\u0633 \u06c1\u06d2\u06d4 0 \u0627\u0648\u0631 1\u06d4<\/p>\n<pre><code class=\"language-plaintext\">Position: 0  1  2  3  4  5  6  7  8  9  10 11 12 13 14 15\nValue:     0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0\n<\/code><\/pre>\n<p>\u0627\u0633 \u0635\u0641 \u06a9\u06d2 \u0633\u0627\u0626\u0632 \u06a9\u0627 \u0627\u0646\u062a\u062e\u0627\u0628 \u0627\u0646 \u0627\u0634\u06cc\u0627\u0621 \u06a9\u06cc \u062a\u0639\u062f\u0627\u062f \u06a9\u06cc \u0628\u0646\u06cc\u0627\u062f \u067e\u0631 \u06a9\u06cc\u0627 \u062c\u0627\u062a\u0627 \u06c1\u06d2 \u062c\u0646 \u06a9\u06cc \u0630\u062e\u06cc\u0631\u06c1 \u06a9\u06cc\u06d2 \u062c\u0627\u0646\u06d2 \u06a9\u06cc \u062a\u0648\u0642\u0639 \u06c1\u06d2 \u0627\u0648\u0631 \u063a\u0644\u0637 \u0645\u062b\u0628\u062a \u0634\u0631\u062d \u062c\u0633 \u06a9\u0648 \u0628\u0631\u062f\u0627\u0634\u062a \u06a9\u06cc\u0627 \u062c\u0627 \u0633\u06a9\u062a\u0627 \u06c1\u06d2\u06d4 \u0628\u0691\u06cc \u0635\u0641\u06cc\u06ba \u063a\u0644\u0637 \u0645\u062b\u0628\u062a \u0634\u0631\u062d \u06a9\u0648 \u06a9\u0645 \u06a9\u0631\u062a\u06cc \u06c1\u06cc\u06ba \u0644\u06cc\u06a9\u0646 \u0632\u06cc\u0627\u062f\u06c1 \u0645\u06cc\u0645\u0648\u0631\u06cc \u06a9\u06cc \u0636\u0631\u0648\u0631\u062a \u06c1\u0648\u062a\u06cc \u06c1\u06d2\u06d4<\/p>\n<h4 id=\"heading-2-multiple-hash-functions\">2. \u0627\u06cc\u06a9 \u0633\u06d2 \u0632\u06cc\u0627\u062f\u06c1 \u06c1\u06cc\u0634 \u0641\u0646\u06a9\u0634\u0646\u0632<\/h4>\n<p>\u0639\u0627\u0645 \u0637\u0648\u0631 \u067e\u0631 3 \u0633\u06d2 7 \u06c1\u06cc\u0634 \u0641\u0646\u06a9\u0634\u0646\u0632 \u06c1\u0648\u062a\u06d2 \u06c1\u06cc\u06ba\u06d4 \u06c1\u0631 \u0627\u06cc\u06a9 \u0627\u0646 \u067e\u0679 \u0644\u06cc\u062a\u0627 \u06c1\u06d2 \u0627\u0648\u0631 \u0627\u06cc\u06a9 \u0646\u0645\u0628\u0631 \u062a\u06cc\u0627\u0631 \u06a9\u0631\u062a\u0627 \u06c1\u06d2 \u062c\u0648 \u0628\u0679 \u0633\u0631\u0646\u06cc \u0645\u06cc\u06ba \u067e\u0648\u0632\u06cc\u0634\u0646 \u067e\u0631 \u0646\u0642\u0634\u06c1 \u0628\u0646\u0627\u062a\u0627 \u06c1\u06d2\u06d4 \u0645\u062e\u062a\u0644\u0641 \u06c1\u06cc\u0634 \u0641\u0646\u06a9\u0634\u0646\u0632 \u0627\u06cc\u06a9 \u06c1\u06cc \u0627\u0646 \u067e\u0679 \u06a9\u06d2 \u0644\u06cc\u06d2 \u0645\u062e\u062a\u0644\u0641 \u067e\u0648\u0632\u06cc\u0634\u0646\u0632 \u062a\u06cc\u0627\u0631 \u06a9\u0631\u062a\u06d2 \u06c1\u06cc\u06ba\u06d4<\/p>\n<p>\u06c1\u06cc\u0634 \u0641\u0646\u06a9\u0634\u0646\u0632 \u06a9\u0648 \u062a\u06cc\u0632 \u06c1\u0648\u0646\u0627 \u0686\u0627\u06c1\u06cc\u06d2\u060c \u0627\u06cc\u06a9 \u062f\u0648\u0633\u0631\u06d2 \u0633\u06d2 \u0622\u0632\u0627\u062f \u06c1\u0648\u0646\u0627 \u0686\u0627\u06c1\u06cc\u06d2\u060c \u0627\u0648\u0631 \u0627\u067e\u0646\u06d2 \u0622\u0624\u0679 \u067e\u0679 \u06a9\u0648 \u0628\u0679 \u0627\u0631\u06cc \u0645\u06cc\u06ba \u06cc\u06a9\u0633\u0627\u06ba \u0637\u0648\u0631 \u067e\u0631 \u062a\u0642\u0633\u06cc\u0645 \u06a9\u0631\u0646\u0627 \u0686\u0627\u06c1\u06cc\u06d2\u06d4 \u06c1\u06cc\u0634 \u0641\u0646\u06a9\u0634\u0646 \u06a9\u0627 \u0645\u0639\u06cc\u0627\u0631 \u063a\u0644\u0637 \u0645\u062b\u0628\u062a \u0634\u0631\u062d \u06a9\u0648 \u0628\u0631\u0627\u06c1 \u0631\u0627\u0633\u062a \u0645\u062a\u0627\u062b\u0631 \u06a9\u0631\u062a\u0627 \u06c1\u06d2\u06d4<\/p>\n<h2 id=\"heading-how-adding-an-item-works\">\u0622\u0626\u0679\u0645\u0632 \u06a9\u0648 \u0634\u0627\u0645\u0644 \u06a9\u0631\u0646\u0627 \u06a9\u06cc\u0633\u06d2 \u06a9\u0627\u0645 \u06a9\u0631\u062a\u0627 \u06c1\u06d2\u06d4<\/h2>\n<p>\u0641\u0644\u0679\u0631 \u0645\u06cc\u06ba \u0635\u0627\u0631\u0641 \u0646\u0627\u0645 &quot;seyi_codes&#8221; \u0634\u0627\u0645\u0644 \u06a9\u0631\u0646\u06d2 \u06a9\u06d2 \u0644\u06cc\u06d2\u060c \u06c1\u0645 \u0627\u0633\u06d2 \u062a\u06cc\u0646\u0648\u06ba \u06c1\u06cc\u0634 \u0641\u0646\u06a9\u0634\u0646\u0632 \u06a9\u06d2 \u0630\u0631\u06cc\u0639\u06d2 \u0686\u0644\u0627\u062a\u06d2 \u06c1\u06cc\u06ba\u06d4<\/p>\n<pre><code class=\"language-plaintext\">hash1(\"seyi_codes\") = 3\nhash2(\"seyi_codes\") = 7\nhash3(\"seyi_codes\") = 11\n<\/code><\/pre>\n<p>\u0628\u0679 \u0633\u0631\u0646\u06cc \u0645\u06cc\u06ba \u062a\u06cc\u0646 \u067e\u0648\u0632\u06cc\u0634\u0646\u06cc\u06ba 1 \u067e\u0631 \u0633\u06cc\u0679 \u06a9\u0631\u06cc\u06ba\u06d4<\/p>\n<pre><code class=\"language-plaintext\">Position: 0  1  2  3  4  5  6  7  8  9  10 11 12 13 14 15\nValue:     0  0  0  1  0  0  0  1  0  0  0  1  0  0  0  0\n                    ^           ^              ^\n                  hash1       hash2          hash3\n<\/code><\/pre>\n<p>\u0635\u0627\u0631\u0641 \u06a9\u0627 \u0646\u0627\u0645 &quot;seyi_codes&#8221; \u0627\u0628 \u0641\u0644\u0679\u0631 \u0645\u06cc\u06ba \u0638\u0627\u06c1\u0631 \u06c1\u0648\u06af\u0627\u06d4 \u062a\u0627\u06c1\u0645\u060c \u0633\u0679\u0631\u0646\u06af \u062e\u0648\u062f \u06a9\u06c1\u06cc\u06ba \u0628\u06be\u06cc \u0645\u062d\u0641\u0648\u0638 \u0646\u06c1\u06cc\u06ba \u06c1\u06d2\u06d4 \u0635\u0631\u0641 \u06cc\u06c1 \u062d\u0642\u06cc\u0642\u062a \u06c1\u06d2 \u06a9\u06c1 3rd\u060c 7th\u060c \u0627\u0648\u0631 11th \u06a9\u0633\u06cc \u0686\u06cc\u0632 \u06a9\u06d2 \u0630\u0631\u06cc\u0639\u06c1 \u062a\u0631\u062a\u06cc\u0628 \u062f\u06cc\u0627 \u06af\u06cc\u0627 \u062a\u06be\u0627\u06d4<\/p>\n<p>\u0627\u0628 \u062f\u0648\u0633\u0631\u0627 \u0635\u0627\u0631\u0641 \u0646\u0627\u0645 &quot;aderonke&#8221; \u0634\u0627\u0645\u0644 \u06a9\u0631\u06cc\u06ba\u06d4<\/p>\n<pre><code class=\"language-plaintext\">hash1(\"aderonke\") = 1\nhash2(\"aderonke\") = 7\nhash3(\"aderonke\") = 13\n<\/code><\/pre>\n<pre><code class=\"language-plaintext\">Position: 0  1  2  3  4  5  6  7  8  9  10 11 12 13 14 15\nValue:     0  1  0  1  0  0  0  1  0  0  0  1  0  1  0  0\n              ^     ^           ^              ^     ^\n<\/code><\/pre>\n<p>\u067e\u0648\u0632\u06cc\u0634\u0646 7 \u067e\u06c1\u0644\u06d2 \u06c1\u06cc &quot;seyi_codes&#8221; \u06a9\u06d2 \u0630\u0631\u06cc\u0639\u06d2 \u0633\u06cc\u0679 \u06a9\u0631 \u062f\u06cc \u06af\u0626\u06cc \u06c1\u06d2 \u0627\u0648\u0631 &quot;aderonke&#8221; \u06a9\u06d2 \u0630\u0631\u06cc\u0639\u06d2 \u062f\u0648\u0628\u0627\u0631\u06c1 \u0633\u06cc\u0679 \u06a9\u06cc \u062c\u0627\u0626\u06d2 \u06af\u06cc\u06d4 \u06cc\u06c1 \u0639\u0627\u0645 \u0628\u0627\u062a \u06c1\u06d2\u06d4 \u0628\u0679\u0633 \u06a9\u0648 \u0645\u062a\u0639\u062f\u062f \u0622\u0626\u0679\u0645\u0632 \u0645\u06cc\u06ba \u0634\u06cc\u0626\u0631 \u06a9\u06cc\u0627 \u062c\u0627 \u0633\u06a9\u062a\u0627 \u06c1\u06d2\u06d4 \u06cc\u06c1 \u0634\u06cc\u0626\u0631\u0646\u06af \u063a\u0644\u0637 \u0645\u062b\u0628\u062a \u06a9\u0627 \u0628\u0627\u0639\u062b \u0628\u06be\u06cc \u0628\u0646 \u0633\u06a9\u062a\u06cc \u06c1\u06d2\u06d4 \u06c1\u0645 \u0630\u06cc\u0644 \u0645\u06cc\u06ba \u0627\u0633 \u06a9\u06d2 \u0628\u0627\u0631\u06d2 \u0645\u06cc\u06ba \u0645\u0632\u06cc\u062f \u0628\u0627\u062a \u06a9\u0631\u06cc\u06ba \u06af\u06d2\u06d4<\/p>\n<h2 id=\"heading-how-checking-an-item-works\">\u0627\u0634\u06cc\u0627\u0621 \u06a9\u0648 \u06a9\u06cc\u0633\u06d2 \u0686\u06cc\u06a9 \u06a9\u0631\u06cc\u06ba\u06d4<\/h2>\n<p>\u06cc\u06c1 \u0686\u06cc\u06a9 \u06a9\u0631\u0646\u06d2 \u06a9\u06d2 \u0644\u06cc\u06d2 \u06a9\u06c1 \u0622\u06cc\u0627 \u0641\u0644\u0679\u0631 \u0645\u06cc\u06ba \u0635\u0627\u0631\u0641 \u0646\u0627\u0645 \u0645\u0648\u062c\u0648\u062f \u06c1\u06d2\u060c \u0627\u0633\u06d2 \u0627\u0633\u06cc \u06c1\u06cc\u0634 \u0641\u0646\u06a9\u0634\u0646 \u06a9\u06d2 \u0630\u0631\u06cc\u0639\u06d2 \u0686\u0644\u0627\u0626\u06cc\u06ba \u0627\u0648\u0631 \u06cc\u0642\u06cc\u0646\u06cc \u0628\u0646\u0627\u0626\u06cc\u06ba \u06a9\u06c1 \u0646\u062a\u06cc\u062c\u06d2 \u0645\u06cc\u06ba \u0622\u0646\u06d2 \u0648\u0627\u0644\u06cc \u067e\u0648\u0632\u06cc\u0634\u0646\u06cc\u06ba 1 \u067e\u0631 \u0633\u06cc\u0679 \u06c1\u06cc\u06ba\u06d4<\/p>\n<h4 id=\"heading-checking-seyicodes-which-was-added\">\u0634\u0627\u0645\u0644 \u06a9\u0631\u062f\u06c1 &quot;seyi_codes&#8221; \u06a9\u0648 \u0686\u06cc\u06a9 \u06a9\u0631\u06cc\u06ba:<\/h4>\n<pre><code class=\"language-plaintext\">hash1(\"seyi_codes\") = 3  \u2192 bit[3] = 1  \u2713\nhash2(\"seyi_codes\") = 7  \u2192 bit[7] = 1  \u2713\nhash3(\"seyi_codes\") = 11 \u2192 bit[11] = 1 \u2713\n<\/code><\/pre>\n<p>\u062a\u06cc\u0646\u0648\u06ba \u067e\u0648\u0632\u06cc\u0634\u0646\u0632 1 \u06c1\u06cc\u06ba\u06d4 \u0641\u0644\u0679\u0631 \u06a9\u06c1\u062a\u0627 \u06c1\u06d2 &quot;\u0634\u0627\u06cc\u062f \u06cc\u06c1\u0627\u06ba&#8221;\u06d4 \u0627\u067e\u0646\u0627 \u0688\u06cc\u0679\u0627 \u0628\u06cc\u0633 \u0686\u06cc\u06a9 \u06a9\u0631\u06cc\u06ba \u0627\u0648\u0631 \u062f\u06cc\u06a9\u06be\u06cc\u06ba \u06a9\u06c1 \u0622\u06cc\u0627 \u0622\u067e \u06a9\u0627 \u0635\u0627\u0631\u0641 \u0646\u0627\u0645 \u0627\u0633\u062a\u0639\u0645\u0627\u0644 \u06c1\u0648\u0627 \u06c1\u06d2\u06d4<\/p>\n<h4 id=\"heading-checking-johndoe-which-was-never-added\">\u0686\u06cc\u06a9 \u06a9\u0631\u06cc\u06ba \u06a9\u06c1 &quot;john_doe&#8221; \u06a9\u0648 \u0634\u0627\u0645\u0644 \u0646\u06c1\u06cc\u06ba \u06a9\u06cc\u0627 \u062c\u0627 \u0631\u06c1\u0627 \u06c1\u06d2:<\/h4>\n<pre><code class=\"language-plaintext\">hash1(\"john_doe\") = 2  \u2192 bit[2] = 0  \u2717\n<\/code><\/pre>\n<p>\u067e\u06c1\u0644\u06cc \u06c1\u06cc\u0634 \u0646\u06d2 \u067e\u06be\u0631 \u0628\u06be\u06cc 0 \u06a9\u06cc \u067e\u0648\u0632\u06cc\u0634\u0646 \u0644\u0648\u0679\u0627\u0626\u06cc\u06d4 \u0641\u0648\u0631\u0627\u064b \u0631\u06a9 \u062c\u0627\u0626\u06cc\u06ba\u06d4 \u0641\u0644\u0679\u0631 \u06a9\u06c1\u062a\u0627 \u06c1\u06d2 &quot;\u06cc\u06c1\u0627\u06ba \u06a9\u0628\u06be\u06cc \u0646\u06c1\u06cc\u06ba&#8221;\u06d4 \u0628\u0627\u0642\u06cc \u06c1\u06cc\u0634 \u0641\u0646\u06a9\u0634\u0646\u0632 \u06a9\u0648 \u0686\u06cc\u06a9 \u0646\u06c1\u06cc\u06ba \u06a9\u06cc\u0627 \u06af\u06cc\u0627 \u06c1\u06d2\u06d4 \u06c1\u0645 \u0688\u06cc\u0679\u0627 \u0628\u06cc\u0633 \u06a9\u0648 \u06c1\u0627\u062a\u06be \u0646\u06c1\u06cc\u06ba \u0644\u06af\u0627\u062a\u06d2\u06d4 \u0622\u067e \u0627\u067e\u0646\u0627 \u0635\u0627\u0631\u0641 \u0646\u0627\u0645 \u0627\u0633\u062a\u0639\u0645\u0627\u0644 \u06a9\u0631 \u0633\u06a9\u062a\u06d2 \u06c1\u06cc\u06ba\u06d4<\/p>\n<p>\u0628\u0644\u0648\u0645 \u0641\u0644\u0679\u0631\u0632 \u062a\u06cc\u0632 \u06a9\u06cc\u0648\u06ba \u06c1\u0648\u062a\u06d2 \u06c1\u06cc\u06ba \u0627\u0633 \u06a9\u0648 \u0633\u0645\u062c\u06be\u0646\u06d2 \u06a9\u06d2 \u0644\u06cc\u06d2 \u06cc\u06c1 \u062c\u0644\u062f \u062e\u062a\u0645 \u06a9\u0631\u0646\u0627 \u0627\u06c1\u0645 \u06c1\u06d2\u06d4 \u062c\u0633 \u0644\u0645\u062d\u06d2 \u06c1\u06cc\u0634 \u0641\u0646\u06a9\u0634\u0646 \u0628\u0679 0 \u0648\u0627\u067e\u0633 \u06a9\u0631\u062a\u0627 \u06c1\u06d2\u060c \u0686\u06cc\u06a9 \u062e\u062a\u0645 \u06c1\u0648\u062c\u0627\u062a\u0627 \u06c1\u06d2\u06d4 \u062c\u0648 \u0627\u0635\u0644 \u0645\u06cc\u06ba \u0634\u0627\u0645\u0644 \u06a9\u06cc\u0627 \u062c\u0627\u062a\u0627 \u06c1\u06d2 \u0648\u06c1 \u062a\u0645\u0627\u0645 \u067e\u0648\u0632\u06cc\u0634\u0646\u0632 \u06a9\u0648 1 \u067e\u0631 \u0633\u06cc\u0679 \u06a9\u0631\u062a\u0627 \u06c1\u06d2\u06d4 \u06a9\u06c1\u06cc\u06ba \u0628\u06be\u06cc \u0635\u0641\u0631 \u0627\u0633 \u0628\u0627\u062a \u06a9\u06cc \u0646\u0634\u0627\u0646\u062f\u06c1\u06cc \u06a9\u0631\u062a\u0627 \u06c1\u06d2 \u06a9\u06c1 \u06a9\u0648\u0626\u06cc \u0686\u06cc\u0632 \u0634\u0627\u0645\u0644 \u0646\u06c1\u06cc\u06ba \u06a9\u06cc \u06af\u0626\u06cc\u06d4<\/p>\n<h2 id=\"heading-false-positives-explained\">\u063a\u0644\u0637 \u0645\u062b\u0628\u062a \u0648\u0636\u0627\u062d\u062a<\/h2>\n<p>\u06cc\u06c1 \u0648\u06c1 \u062c\u06af\u06c1 \u06c1\u06d2 \u062c\u06c1\u0627\u06ba \u0627\u0645\u06a9\u0627\u0646\u06cc \u062d\u0635\u06c1 \u06a9\u0646\u06a9\u0631\u06cc\u0679 \u0628\u0646 \u062c\u0627\u062a\u0627 \u06c1\u06d2\u06d4<\/p>\n<p>\u0628\u0631\u0627\u06c1 \u06a9\u0631\u0645 \u0635\u0627\u0631\u0641 \u0646\u0627\u0645 &quot;tiwa_codes&#8221; \u06a9\u0648 \u0686\u06cc\u06a9 \u06a9\u0631\u06cc\u06ba \u062c\u0648 \u0634\u0627\u0645\u0644 \u0646\u06c1\u06cc\u06ba \u06a9\u06cc\u0627 \u06af\u06cc\u0627 \u06c1\u06d2\u06d4<\/p>\n<pre><code class=\"language-plaintext\">hash1(\"tiwa_codes\") = 3  \u2192 bit[3] = 1  \u2713  (set by seyi_codes)\nhash2(\"tiwa_codes\") = 7  \u2192 bit[7] = 1  \u2713  (set by seyi_codes and aderonke)\nhash3(\"tiwa_codes\") = 13 \u2192 bit[13] = 1 \u2713  (set by aderonke)\n<\/code><\/pre>\n<p>\u062a\u06cc\u0646\u0648\u06ba \u067e\u0648\u0632\u06cc\u0634\u0646\u0632 1 \u06c1\u06cc\u06ba\u06d4 \u0641\u0644\u0679\u0631 \u06a9\u06c1\u062a\u0627 \u06c1\u06d2 &quot;\u0634\u0627\u06cc\u062f \u06cc\u06c1\u0627\u06ba&#8221;\u06d4 \u062a\u0627\u06c1\u0645\u060c &quot;tiwa_codes&#8221; \u0634\u0627\u0645\u0644 \u0646\u06c1\u06cc\u06ba \u06a9\u06cc\u0627 \u06af\u06cc\u0627\u06d4 \u067e\u0648\u0632\u06cc\u0634\u0646\u0632 3\u060c 7 \u0627\u0648\u0631 13 \u0645\u06cc\u06ba \u0628\u0679\u0633 \u0645\u062e\u062a\u0644\u0641 \u0635\u0627\u0631\u0641 \u0646\u0627\u0645\u0648\u06ba \u06a9\u06d2 \u0630\u0631\u06cc\u0639\u06d2 \u0633\u06cc\u0679 \u06a9\u06cc\u06d2 \u06af\u0626\u06d2 \u062a\u06be\u06d2\u06d4 &quot;tiwa_codes&#8221; \u06a9\u0648 \u067e\u06c1\u0644\u06d2 \u0633\u06d2 \u0632\u06cc\u0631 \u0642\u0628\u0636\u06c1 \u062c\u06af\u06c1 \u067e\u0631 \u06c1\u06cc\u0634 \u06a9\u0631 \u062f\u06cc\u0627 \u06af\u06cc\u0627 \u06c1\u06d2\u06d4<\/p>\n<p>\u06cc\u06c1 \u0627\u06cc\u06a9 \u063a\u0644\u0637 \u0645\u062b\u0628\u062a \u06c1\u06d2\u06d4 \u0641\u0644\u0679\u0631 \u063a\u0644\u0637 \u06c1\u06d2\u06d4 \u0644\u06cc\u06a9\u0646 \u0642\u0627\u0628\u0644 \u0642\u0628\u0648\u0644 \u0633\u0645\u062a \u063a\u0644\u0637 \u06c1\u06d2\u06d4 \u062c\u0648\u0627\u0628 \u062f\u0631\u0627\u0635\u0644 \u062a\u06be\u0627 &quot;\u06cc\u06c1\u0627\u06ba \u0646\u06c1\u06cc\u06ba&#8221; \u0644\u06cc\u06a9\u0646 \u0645\u06cc\u06ba \u0646\u06d2 \u06a9\u06c1\u0627 &quot;\u0634\u0627\u06cc\u062f \u06cc\u06c1\u0627\u06ba\u06d4&#8221; \u0688\u06cc\u0679\u0627\u0628\u06cc\u0633 \u067e\u0631 \u062c\u0627\u0626\u06cc\u06ba \u0627\u0648\u0631 \u0622\u06af\u06d2 \u0628\u0691\u06be\u0646\u06d2 \u0633\u06d2 \u067e\u06c1\u0644\u06d2 \u0686\u06cc\u06a9 \u06a9\u0631\u06cc\u06ba \u06a9\u06c1 \u0622\u06cc\u0627 \u0635\u0627\u0631\u0641 \u0646\u0627\u0645 \u0648\u0627\u0642\u0639\u06cc \u062f\u0633\u062a\u06cc\u0627\u0628 \u06c1\u06d2\u06d4<\/p>\n<p>\u0641\u0644\u0679\u0631\u0632 \u06a9\u0628\u06be\u06cc \u0628\u06be\u06cc \u0645\u062e\u0627\u0644\u0641 \u063a\u0644\u0637\u06cc \u0646\u06c1\u06cc\u06ba \u06a9\u0631\u062a\u06d2 \u06c1\u06cc\u06ba\u06d4 \u062c\u0628 \u0622\u067e \u06a9\u0648\u0626\u06cc \u0622\u0626\u0679\u0645 \u0634\u0627\u0645\u0644 \u06a9\u0631\u062a\u06d2 \u06c1\u06cc\u06ba\u060c \u062a\u0648 \u06cc\u06c1 \u062a\u0645\u0627\u0645 \u067e\u0648\u0632\u06cc\u0634\u0646\u0632 \u06a9\u0648 1 \u067e\u0631 \u0633\u06cc\u0679 \u06a9\u0631\u062a\u0627 \u06c1\u06d2 \u0627\u0648\u0631 \u06cc\u06c1 \u062f\u06cc\u06a9\u06be\u0646\u06d2 \u06a9\u06d2 \u0644\u06cc\u06d2 \u0686\u06cc\u06a9 \u06a9\u0631\u062a\u0627 \u06c1\u06d2 \u06a9\u06c1 \u0622\u06cc\u0627 \u062a\u0645\u0627\u0645 \u067e\u0648\u0632\u06cc\u0634\u0646\u0632 1 \u06c1\u06cc\u06ba\u060c \u0644\u06c1\u0630\u0627 \u0622\u067e \u06a9\u0648 \u0627\u0646 \u0622\u0626\u0679\u0645\u0632 \u06a9\u06d2 \u0644\u06cc\u06d2 &quot;\u06cc\u0642\u06cc\u0646\u06cc \u0637\u0648\u0631 \u067e\u0631 \u06cc\u06c1\u0627\u06ba \u0646\u06c1\u06cc\u06ba&#8221; \u0646\u0638\u0631 \u0646\u06c1\u06cc\u06ba \u0622\u0626\u06d2 \u06af\u0627 \u062c\u0648 \u0627\u0635\u0644 \u0645\u06cc\u06ba \u0634\u0627\u0645\u0644 \u06a9\u06cc\u06d2 \u06af\u0626\u06d2 \u062a\u06be\u06d2\u06d4<\/p>\n<h2 id=\"heading-why-you-cant-delete-from-a-bloom-filter\">\u0645\u06cc\u06ba \u0628\u0644\u0648\u0645 \u0641\u0644\u0679\u0631\u0632 \u0633\u06d2 \u062d\u0630\u0641 \u06a9\u06cc\u0648\u06ba \u0646\u06c1\u06cc\u06ba \u06a9\u0631 \u0633\u06a9\u062a\u0627\u061f<\/h2>\n<p>\u0645\u0639\u06cc\u0627\u0631\u06cc \u0628\u0644\u0648\u0645 \u0641\u0644\u0679\u0631 \u0645\u06cc\u06ba \u062d\u0630\u0641 \u06a9\u0631\u0646\u0627 \u0645\u0645\u06a9\u0646 \u0646\u06c1\u06cc\u06ba \u06c1\u06d2\u06d4<\/p>\n<p>\u0627\u06af\u0631 \u06c1\u0645 \u0628\u0679 \u06a9\u0648 \u0648\u0627\u067e\u0633 0 \u067e\u0631 \u067e\u0644\u0679 \u06a9\u0631 &quot;seyi_codes&#8221; \u06a9\u0648 \u062d\u0630\u0641 \u06a9\u0631\u0646\u06d2 \u06a9\u06cc \u06a9\u0648\u0634\u0634 \u06a9\u0631\u062a\u06d2 \u06c1\u06cc\u06ba\u060c \u062a\u0648 \u06c1\u0645 \u067e\u0648\u0632\u06cc\u0634\u0646 7 \u06a9\u0648 \u0648\u0627\u067e\u0633 0 \u067e\u0631 \u067e\u0644\u0679 \u062f\u06cc\u062a\u06d2 \u06c1\u06cc\u06ba\u06d4 \u062a\u0627\u06c1\u0645\u060c \u067e\u0648\u0632\u06cc\u0634\u0646 7 \u06a9\u0648 &quot;aderonke&#8221; \u0645\u06cc\u06ba \u0628\u06be\u06cc \u0627\u0633\u062a\u0639\u0645\u0627\u0644 \u06a9\u06cc\u0627 \u062c\u0627\u062a\u0627 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\u0633\u06d2 99% &quot;\u0635\u0627\u0631\u0641 \u0646\u0627\u0645 \u062f\u0633\u062a\u06cc\u0627\u0628 \u06c1\u06d2&#8221; \u0633\u0648\u0627\u0644\u0627\u062a \u06a9\u0627 \u0688\u06cc\u0679\u0627 \u0628\u06cc\u0633 \u067e\u0631 \u0642\u0637\u0639\u06cc \u0637\u0648\u0631 \u067e\u0631 \u06a9\u0648\u0626\u06cc \u0627\u062b\u0631 \u0646\u06c1\u06cc\u06ba \u06c1\u0648\u062a\u0627 \u06c1\u06d2\u06d4 1% \u062c\u0648 \u063a\u0644\u0637 \u0645\u062b\u0628\u062a \u06c1\u06cc\u06ba \u062a\u0635\u062f\u06cc\u0642 \u06a9\u06d2 \u0644\u06cc\u06d2 \u0688\u06cc\u0679\u0627 \u0628\u06cc\u0633 \u0645\u06cc\u06ba \u062c\u0627\u062a\u06d2 \u06c1\u06cc\u06ba \u0627\u0648\u0631 \u062f\u0631\u0633\u062a \u0637\u0631\u06cc\u0642\u06d2 \u0633\u06d2 \u062d\u0644 \u06c1\u0648 \u062c\u0627\u062a\u06d2 \u06c1\u06cc\u06ba\u06d4<\/p>\n<h2 id=\"heading-implementation-in-dart\">\u0688\u0627\u0631\u0679 \u0645\u06cc\u06ba \u0646\u0641\u0627\u0630<\/h2>\n<p>\u06cc\u06c1 \u0627\u06cc\u06a9 \u062a\u0639\u0644\u06cc\u0645\u06cc \u0646\u0641\u0627\u0630 \u06c1\u06d2 \u062c\u0648 \u0638\u0627\u06c1\u0631 \u06a9\u0631\u062a\u0627 \u06c1\u06d2 \u06a9\u06c1 \u0628\u0644\u0648\u0645 \u0641\u0644\u0679\u0631 \u06a9\u06cc\u0633\u06d2 \u06a9\u0627\u0645 \u06a9\u0631\u062a\u0627 \u06c1\u06d2\u06d4 \u067e\u0631\u0648\u0688\u06a9\u0634\u0646 \u0633\u0633\u0679\u0645\u0632 \u0645\u06cc\u06ba\u060c \u0628\u0644\u0648\u0645 \u0641\u0644\u0679\u0631\u0632 \u06a9\u0648 \u0627\u06cc\u067e\u0644\u06cc\u06a9\u06cc\u0634\u0646 \u06a9\u06cc \u0633\u0637\u062d \u067e\u0631 \u0644\u0627\u06af\u0648 \u0646\u06c1\u06cc\u06ba \u06a9\u06cc\u0627 \u062c\u0627\u062a\u0627 \u06c1\u06d2\u060c \u0628\u0644\u06a9\u06c1 \u0628\u0646\u06cc\u0627\u062f\u06cc \u0688\u06be\u0627\u0646\u0686\u06d2 \u06a9\u06cc \u062a\u06c1\u06c1 (\u0688\u06cc\u0679\u0627 \u0628\u06cc\u0633\u060c \u06a9\u06cc\u0634\u06d2\u060c \u06cc\u0627 CDN) \u0645\u06cc\u06ba \u0628\u0646\u0627\u06cc\u0627 \u062c\u0627\u062a\u0627 \u06c1\u06d2\u06d4<\/p>\n<pre><code class=\"language-dart\">import 'dart:typed_data';\n\nclass BloomFilter {\n  final Uint8List _bitArray;\n  final int _size;\n  final int _hashCount;\n\n  BloomFilter({required int size, required int hashCount})\n      : _size = size,\n        _hashCount = hashCount,\n        _bitArray = Uint8List((size \/ 8).ceil());\n\n  \/\/ set a bit at the given position\n  void _setBit(int position) {\n    final byteIndex = position ~\/ 8;\n    final bitIndex = position % 8;\n    _bitArray[byteIndex] |= (1 << bitIndex);\n  }\n\n  \/\/ check if a bit is set at the given position\n  bool _getBit(int position) {\n    final byteIndex = position ~\/ 8;\n    final bitIndex = position % 8;\n    return (_bitArray[byteIndex] &#038; (1 << bitIndex)) != 0;\n  }\n\n  \/\/ generate k hash positions for a given value\n  List<int> _getHashPositions(String value) {\n    final positions = <int>[];\n\n    for (int i = 0; i < _hashCount; i++) {\n      int hash = 0;\n      final input=\"$i:$value\"; \n\n      for (final char in input.codeUnits) {\n        hash = (hash * 31 + char) &#038; 0x7FFFFFFF;\n      }\n\n      positions.add(hash % _size);\n    }\n\n    return positions;\n  }\n\n  \/\/ add an item to the filter\n  void add(String value) {\n    for (final position in _getHashPositions(value)) {\n      _setBit(position);\n    }\n  }\n\n  \/\/ check if an item might be in the filter\n  \/\/ returns false: definitely NOT in the set\n  \/\/ returns true: PROBABLY in the set (may be a false positive)\n  bool mightContain(String value) {\n    for (final position in _getHashPositions(value)) {\n      if (!_getBit(position)) {\n        return false; \n      }\n    }\n    return true; \n  }\n}\n<\/int><\/int><\/code><\/pre>\n<p>\u0622\u0626\u06cc\u06d2 \u0627\u0633 \u0646\u0641\u0627\u0630 \u06a9\u06d2 \u0627\u06c1\u0645 \u0641\u06cc\u0635\u0644\u0648\u06ba \u06a9\u0648 \u062f\u06cc\u06a9\u06be\u062a\u06d2 \u06c1\u06cc\u06ba\u06d4<\/p>\n<p>\u0633\u0628 \u0633\u06d2 \u067e\u06c1\u0644\u06d2 <code>Uint8List<\/code> \u0627\u0633 \u06a9\u06d2 \u0628\u062c\u0627\u0626\u06d2\u060c \u06cc\u06c1 \u0628\u0679 arrays \u06a9\u06d2 \u0644\u06cc\u06d2 \u0627\u0633\u062a\u0639\u0645\u0627\u0644 \u06c1\u0648\u062a\u0627 \u06c1\u06d2\u06d4 <code>List<bool\/><\/code>. \u06a9\u0648\u0626\u06cc \u0631\u0627\u0633\u062a\u06c1 \u0646\u06c1\u06cc\u06ba <code>List<bool\/><\/code> \u0688\u0627\u0631\u0679 \u0641\u06cc \u0639\u0646\u0635\u0631 \u0627\u06cc\u06a9 \u067e\u0648\u0631\u06cc \u0622\u0628\u062c\u06cc\u06a9\u0679 \u0645\u062e\u062a\u0635 \u06a9\u0631\u062a\u0627 \u06c1\u06d2\u06d4 \u06a9\u0648\u0626\u06cc \u0631\u0627\u0633\u062a\u06c1 \u0646\u06c1\u06cc\u06ba <code>Uint8List<\/code> \u0628\u0644\u0648\u0645 \u0641\u0644\u0679\u0631\u0632 \u062c\u0633 \u0637\u0631\u062d \u0645\u06cc\u0645\u0648\u0631\u06cc \u06a9\u06cc \u06a9\u0627\u0631\u06a9\u0631\u062f\u06af\u06cc \u06a9\u0648 \u062d\u0627\u0635\u0644 \u06a9\u0631\u062a\u06d2 \u06c1\u06cc\u06ba \u0648\u06c1 8 \u0628\u0679\u0633 \u0641\u06cc \u0628\u0627\u0626\u0679 \u06c1\u06d2\u06d4 \u06a9\u06c1 <code>_setBit<\/code> \u0627\u0648\u0631 <code>_getBit<\/code> \u0637\u0631\u06cc\u0642\u06c1 \u0628\u0627\u0626\u0679 \u0627\u0648\u0631 \u0628\u0679 \u0627\u0646\u0688\u06cc\u06a9\u0633 \u0631\u06cc\u0627\u0636\u06cc \u06a9\u0648 \u06c1\u06cc\u0646\u0688\u0644 \u06a9\u0631\u062a\u0627 \u06c1\u06d2\u06d4<\/p>\n<p><code>_getHashPositions<\/code>    \u0627\u0646\u0688\u06cc\u06a9\u0633 i \u06a9\u0627 \u0627\u0633\u062a\u0639\u0645\u0627\u0644 \u06a9\u0631\u062a\u06d2 \u06c1\u0648\u0626\u06d2 \u06c1\u0631 \u06c1\u06cc\u0634 \u06a9\u06d2 \u0641\u0646\u06a9\u0634\u0646 \u06a9\u0648 \u0645\u062e\u062a\u0644\u0641 \u0637\u0631\u06cc\u0642\u06d2 \u0633\u06d2 \u0633\u06cc\u0688 \u06a9\u0631\u06cc\u06ba \u062a\u0627\u06a9\u06c1 \u0627\u06cc\u06a9 \u062f\u06cc \u06af\u0626\u06cc \u0642\u062f\u0631 \u06a9\u06d2 \u0644\u06cc\u06d2 k \u0645\u062e\u062a\u0644\u0641 \u067e\u0648\u0632\u06cc\u0634\u0646\u06cc\u06ba \u067e\u06cc\u062f\u0627 \u06a9\u0631\u06cc\u06ba\u06d4 \u0633\u0627\u0645\u0646\u06d2 \u0634\u0627\u0645\u0644 \u06a9\u0631\u06cc\u06ba <code>'$i:$value'<\/code> \u0686\u06cc\u06a9 \u06a9\u0631\u06cc\u06ba \u06a9\u06c1 \u0622\u06cc\u0627 k \u06c1\u06cc\u0634 \u0641\u0646\u06a9\u0634\u0646 \u0645\u06cc\u06ba \u0633\u06d2 \u06c1\u0631 \u0627\u06cc\u06a9 \u0627\u06cc\u06a9 \u06c1\u06cc \u0627\u0646 \u067e\u0679 \u06a9\u06d2 \u0644\u06cc\u06d2 \u0645\u062e\u062a\u0644\u0641 \u0646\u062a\u0627\u0626\u062c \u067e\u06cc\u062f\u0627 \u06a9\u0631\u062a\u0627 \u06c1\u06d2\u06d4 \u0646\u062a\u0627\u0626\u062c \u06a9\u0648 \u0645\u0627\u0688\u06cc\u0648\u0644 \u0644\u06cc\u0627 \u062c\u0627\u062a\u0627 \u06c1\u06d2\u06d4 <code>_size<\/code> \u0641\u0644\u0679\u0631 \u0645\u06cc\u06ba \u06c1\u06cc\u0634 \u06a9\u0648 \u062f\u0631\u0633\u062a \u0628\u0679 \u067e\u0648\u0632\u06cc\u0634\u0646\u0648\u06ba \u067e\u0631 \u0646\u0642\u0634\u06c1 \u0628\u0646\u0627\u062a\u0627 \u06c1\u06d2\u06d4<\/p>\n<p><code>mightContain<\/code>    \u062c\u0633 \u0644\u0645\u062d\u06d2 \u0645\u0642\u0627\u0645 \u0645\u062a\u0639\u06cc\u0646 \u0646\u06c1\u06cc\u06ba \u06c1\u0648\u062a\u0627 \u06c1\u06d2\u060c \u06cc\u06c1 \u063a\u0644\u0637 \u0644\u0648\u0679 \u0622\u062a\u0627 \u06c1\u06d2\u06d4 \u06cc\u06c1 \u0627\u06cc\u06a9 \u0627\u0628\u062a\u062f\u0627\u0626\u06cc \u0627\u062e\u0631\u0627\u062c \u06c1\u06d2 \u062c\u0633 \u06a9\u06cc \u062c\u0644\u062f \u062a\u0635\u062f\u06cc\u0642 \u06a9\u06cc \u062c\u0627 \u0633\u06a9\u062a\u06cc \u06c1\u06d2\u06d4 \u0627\u06af\u0631 \u062a\u0645\u0627\u0645 \u067e\u0648\u0632\u06cc\u0634\u0646\u06cc\u06ba \u0633\u06cc\u0679 \u06c1\u06cc\u06ba \u062a\u0648 \u0635\u062d\u06cc\u062d \u0644\u0648\u0679\u0627\u062a\u0627 \u06c1\u06d2\u06d4 \u0627\u0633 \u06a9\u0627 \u0645\u0637\u0644\u0628 \u06cc\u06c1 \u06c1\u06d2 \u06a9\u06c1 \u0622\u0626\u0679\u0645 \u0633\u06cc\u0679 \u0645\u06cc\u06ba \u06c1\u0648\u0646\u06d2 \u06a9\u0627 \u0627\u0645\u06a9\u0627\u0646 \u06c1\u06d2\u060c \u0644\u06cc\u06a9\u0646 \u063a\u0644\u0637 \u0645\u062b\u0628\u062a \u06c1\u0648 \u0633\u06a9\u062a\u0627 \u06c1\u06d2\u06d4<\/p>\n<p><strong>\u0628\u0644\u0648\u0645 \u0641\u0644\u0679\u0631 \u0627\u0633\u062a\u0639\u0645\u0627\u0644 \u06a9\u0631\u06cc\u06ba:<\/strong><\/p>\n<pre><code class=\"language-dart\">void main() {\n  \/\/ filter sized for roughly 1000 items with low false positive rate\n  final filter = BloomFilter(size: 10000, hashCount: 3);\n\n  \/\/ add usernames to the filter\n  final registeredUsernames = [\n    'seyi_codes',\n    'aderonke_dev',\n    'inioluwa_tech',\n    'tiwaloluwa',\n    'flutter_ninja',\n  ];\n\n  for (final username in registeredUsernames) {\n    filter.add(username);\n    print('Added: $username');\n  }\n\n  print('');\n\n  \/\/ check some usernames\n  final usernamesToCheck = [\n    'seyi_codes',      \/\/ was added \u2014 should return true\n    'aderonke_dev',    \/\/ was added \u2014 should return true\n    'john_doe',        \/\/ was not added \u2014 should return false\n    'new_user_123',    \/\/ was not added \u2014 should return false\n    'random_handle',   \/\/ was not added \u2014 should return false\n  ];\n\n  for (final username in usernamesToCheck) {\n    final result = filter.mightContain(username);\n    if (result) {\n      print('$username: PROBABLY taken \u2014 confirm with database');\n    } else {\n      print('$username: DEFINITELY available \u2014 skip the database');\n    }\n  }\n}\n<\/code><\/pre>\n<p>\u062d\u0633\u0627\u0628 \u06a9\u062a\u0627\u0628:<\/p>\n<pre><code class=\"language-plaintext\">Added: seyi_codes\nAdded: aderonke_dev\nAdded: inioluwa_tech\nAdded: tiwaloluwa\nAdded: flutter_ninja\n\nseyi_codes: PROBABLY taken \u2014 confirm with database\naderonke_dev: PROBABLY taken \u2014 confirm with database\njohn_doe: DEFINITELY available \u2014 skip the database\nnew_user_123: DEFINITELY available \u2014 skip the database\nrandom_handle: DEFINITELY available \u2014 skip the database\n<\/code><\/pre>\n<p>\u0634\u0627\u0645\u0644 \u06a9\u0631\u062f\u06c1 \u0622\u0626\u0679\u0645 &quot;\u0634\u0627\u06cc\u062f \u062f\u0631\u0622\u0645\u062f \u0634\u062f\u06c1&#8221; \u0644\u0648\u0679\u0627\u062a\u0627 \u06c1\u06d2 \u0627\u0648\u0631 \u0688\u06cc\u0679\u0627 \u0628\u06cc\u0633 \u06a9\u06cc \u062c\u0627\u0646\u0686 \u06a9\u0648 \u0645\u062a\u062d\u0631\u06a9 \u06a9\u0631\u062a\u0627 \u06c1\u06d2\u06d4 \u062c\u0648 \u0622\u0626\u0679\u0645\u0632 \u0634\u0627\u0645\u0644 \u0646\u06c1\u06cc\u06ba \u06a9\u06cc\u06d2 \u06af\u0626\u06d2 \u06c1\u06cc\u06ba \u0648\u06c1 &quot;\u06cc\u0642\u06cc\u0646\u06cc \u0637\u0648\u0631 \u067e\u0631 \u062f\u0633\u062a\u06cc\u0627\u0628&#8221; \u0648\u0627\u067e\u0633 \u0622\u0626\u06cc\u06ba \u06af\u06d2 \u0627\u0648\u0631 \u0688\u06cc\u0679\u0627 \u0628\u06cc\u0633 \u06a9\u0648 \u0645\u06a9\u0645\u0644 \u0637\u0648\u0631 \u067e\u0631 \u0686\u06be\u0648\u0691 \u062f\u06cc\u06ba \u06af\u06d2\u06d4<\/p>\n<h4 id=\"heading-simulating-the-false-positive-rate\">\u063a\u0644\u0637 \u0645\u062b\u0628\u062a \u0634\u0631\u062d \u0646\u0642\u0644\u06cc:<\/h4>\n<pre><code class=\"language-csharp\">void measureFalsePositiveRate() {\n  final filter = BloomFilter(size: 1000, hashCount: 3);\n  final random = Random();\n\n  \/\/ add 100 items\n  final addedItems = <string>{};\n  for (int i = 0; i < 100; i++) {\n    final item = 'user_$i';\n    filter.add(item);\n    addedItems.add(item);\n  }\n\n  \/\/ check 1000 items that were never added\n  int falsePositives = 0;\n  int totalChecks = 1000;\n\n  for (int i = 100; i < 100 + totalChecks; i++) {\n    final item = 'user_$i'; \n    if (filter.mightContain(item)) {\n      falsePositives++;\n    }\n  }\n\n  final rate = (falsePositives \/ totalChecks * 100).toStringAsFixed(2);\n  print('False positive rate: $rate% ($falsePositives out of $totalChecks)');\n}\n<\/string><\/code><\/pre>\n<p>\u0627\u0633 \u06a9\u0648 \u0686\u0644\u0627\u0646\u06d2 \u0633\u06d2 \u0638\u0627\u06c1\u0631 \u06c1\u0648\u062a\u0627 \u06c1\u06d2 \u06a9\u06c1 \u062c\u06be\u0648\u0679\u06d2 \u0645\u062b\u0628\u062a \u062d\u0642\u06cc\u0642\u06cc\u060c \u0644\u06cc\u06a9\u0646 \u06a9\u0646\u0679\u0631\u0648\u0644 \u0634\u062f\u06c1 \u06c1\u06cc\u06ba\u06d4 \u0641\u0644\u0679\u0631 \u06a9\u06d2 \u0633\u0627\u0626\u0632 \u0627\u0648\u0631 \u06c1\u06cc\u0634 \u06a9\u06cc \u062a\u0639\u062f\u0627\u062f \u06a9\u0648 \u062a\u0628\u062f\u06cc\u0644 \u06a9\u0631\u06a9\u06d2\u060c \u0622\u067e \u063a\u0644\u0637 \u0645\u062b\u0628\u062a \u0634\u0631\u062d \u0645\u06cc\u06ba \u0627\u0633\u06cc \u062a\u0628\u062f\u06cc\u0644\u06cc \u06a9\u0627 \u0645\u0634\u0627\u06c1\u062f\u06c1 \u06a9\u0631 \u0633\u06a9\u062a\u06d2 \u06c1\u06cc\u06ba\u06d4<\/p>\n<h2 id=\"heading-implementation-in-c\">C# \u0645\u06cc\u06ba \u0644\u0627\u06af\u0648<\/h2>\n<pre><code class=\"language-csharp\">using System;\nusing System.Collections;\nusing System.Text;\n\npublic class BloomFilter\n{\n    private readonly BitArray _bitArray;\n    private readonly int _size;\n    private readonly int _hashCount;\n\n    public BloomFilter(int size, int hashCount)\n    {\n        _size = size;\n        _hashCount = hashCount;\n        _bitArray = new BitArray(size);\n    }\n\n    private int[] GetHashPositions(string value)\n    {\n        var positions = new int[_hashCount];\n\n        for (int i = 0; i < _hashCount; i++)\n        {\n            var input = $\"{i}:{value}\";\n            var bytes = Encoding.UTF8.GetBytes(input);\n\n            int hash = 0;\n            foreach (var b in bytes)\n            {\n                hash = (hash * 31 + b) &#038; 0x7FFFFFFF;\n            }\n\n            positions[i] = hash % _size;\n        }\n\n        return positions;\n    }\n\n    public void Add(string value)\n    {\n        foreach (var position in GetHashPositions(value))\n        {\n            _bitArray[position] = true;\n        }\n    }\n\n    \/\/ false  = definitely NOT in the set\n    \/\/ true   = PROBABLY in the set\n    public bool MightContain(string value)\n    {\n        foreach (var position in GetHashPositions(value))\n        {\n            if (!_bitArray[position])\n                return false;\n        }\n        return true;\n    }\n}\n<\/code><\/pre>\n<p>C# <code>BitArray<\/code> \u0633\u06d2 <code>System.Collections<\/code> \u0628\u0679 \u0644\u06cc\u0648\u0644 \u0627\u0633\u0679\u0648\u0631\u06cc\u062c \u06a9\u0648 \u0645\u0642\u0627\u0645\u06cc \u0637\u0648\u0631 \u067e\u0631 \u06c1\u06cc\u0646\u0688\u0644 \u06a9\u0631\u062a\u0627 \u06c1\u06d2\u06d4 \u0645\u0646\u0637\u0642 \u0688\u0627\u0631\u0679 \u06a9\u06d2 \u0646\u0641\u0627\u0630 \u06a9\u06cc \u0637\u0631\u062d \u06c1\u06d2\u06d4 \u0648\u06c1\u06cc \u06c1\u06cc\u0634\u0646\u06af \u0627\u067e\u0631\u0648\u0686\u060c 0 \u0628\u0679\u0633 \u06a9\u0627 \u0648\u06c1\u06cc \u0627\u0628\u062a\u062f\u0627\u0626\u06cc \u062e\u0627\u062a\u0645\u06c1\u060c \u0627\u0648\u0631 \u0648\u06c1\u06cc \u0645\u0645\u06a9\u0646\u06c1 \u0648\u0627\u067e\u0633\u06cc \u06a9\u06cc \u0642\u062f\u0631\u06d4<\/p>\n<h4 id=\"heading-using-it-in-a-realistic-c-api-scenario\">\u062d\u0642\u06cc\u0642\u062a \u067e\u0633\u0646\u062f\u0627\u0646\u06c1 C# API \u0645\u0646\u0638\u0631\u0646\u0627\u0645\u0648\u06ba \u0645\u06cc\u06ba \u0627\u0633\u062a\u0639\u0645\u0627\u0644 \u06a9\u06cc\u0627 \u062c\u0627\u062a\u0627 \u06c1\u06d2:<\/h4>\n<pre><code class=\"language-csharp\">public class UsernameService\n{\n    private readonly BloomFilter _bloomFilter;\n    private readonly IUserRepository _userRepository;\n\n    public UsernameService(IUserRepository userRepository)\n    {\n        _userRepository = userRepository;\n\n        \/\/ sized for 10 million usernames, ~1% false positive rate\n        _bloomFilter = new BloomFilter(size: 95_850_584, hashCount: 7);\n\n        \/\/ populate the filter from existing usernames on startup\n        LoadExistingUsernames();\n    }\n\n    private void LoadExistingUsernames()\n    {\n        \/\/ stream usernames from database to avoid loading all into memory\n        foreach (var username in _userRepository.StreamAllUsernames())\n        {\n            _bloomFilter.Add(username);\n        }\n    }\n\n    public async Task<bool> IsUsernameAvailableAsync(string username)\n    {\n        \/\/ check the filter first \u2014 O(k) where k is the number of hash functions\n        if (!_bloomFilter.MightContain(username))\n        {\n            \/\/ definitely not taken \u2014 no database query needed\n            return true;\n        }\n\n        \/\/ probably taken \u2014 confirm with the database\n        \/\/ this handles both true positives and false positives\n        var existingUser = await _userRepository.FindByUsernameAsync(username);\n        return existingUser == null;\n    }\n\n    public async Task RegisterUsernameAsync(string username)\n    {\n        \/\/ add to the filter when a new username is registered\n        _bloomFilter.Add(username);\n        await _userRepository.CreateUserAsync(username);\n    }\n}\n<\/bool><\/code><\/pre>\n<p>\u06cc\u06c1 \u067e\u06cc\u062f\u0627\u0648\u0627\u0631\u06cc \u0646\u0638\u0627\u0645 \u0645\u06cc\u06ba \u0627\u0633\u062a\u0639\u0645\u0627\u0644 \u06c1\u0648\u0646\u06d2 \u0648\u0627\u0644\u0627 \u0646\u0645\u0648\u0646\u06c1 \u06c1\u06d2\u06d4 \u0628\u0644\u0648\u0645 \u0641\u0644\u0679\u0631 \u0688\u06cc\u0679\u0627 \u0628\u06cc\u0633 \u06a9\u06d2 \u0633\u0627\u0645\u0646\u06d2 \u0648\u0627\u0642\u0639 \u06c1\u06d2\u06d4 \u0632\u06cc\u0627\u062f\u06c1 \u062a\u0631 \u0635\u0627\u0631\u0641 \u0646\u0627\u0645 \u06a9\u06cc \u062f\u0633\u062a\u06cc\u0627\u0628\u06cc \u06a9\u06d2 \u0686\u06cc\u06a9 \u0688\u06cc\u0679\u0627 \u0628\u06cc\u0633 \u062a\u06a9 \u0646\u06c1\u06cc\u06ba \u067e\u06c1\u0646\u0686\u062a\u06d2 \u06c1\u06cc\u06ba\u06d4 \u0627\u06cc\u0633\u0627 \u06a9\u0631\u0646\u0627 \u06cc\u0627 \u062a\u0648 \u0635\u062d\u06cc\u062d \u0645\u062b\u0628\u062a \u06c1\u06d2 (\u0635\u0627\u0631\u0641 \u06a9\u0627 \u0646\u0627\u0645 \u0627\u0635\u0644 \u0645\u06cc\u06ba \u0627\u0633\u062a\u0639\u0645\u0627\u0644 \u06a9\u06cc\u0627 \u06af\u06cc\u0627 \u062a\u06be\u0627) \u06cc\u0627 \u063a\u0644\u0637 \u0645\u062b\u0628\u062a (\u0641\u0644\u0679\u0631 \u063a\u0644\u0637 \u062a\u06be\u0627\u060c \u0644\u06cc\u06a9\u0646 \u0635\u0627\u0631\u0641 \u06a9\u0627 \u0646\u0627\u0645 \u0627\u0635\u0644 \u0645\u06cc\u06ba \u0688\u06cc\u0679\u0627 \u0628\u06cc\u0633 \u0645\u06cc\u06ba \u062f\u0633\u062a\u06cc\u0627\u0628 \u067e\u0627\u06cc\u0627 \u06af\u06cc\u0627 \u062a\u06be\u0627)\u06d4<\/p>\n<p>\u0631\u062c\u0633\u0679\u0631\u06cc\u0634\u0646 \u06a9\u06d2 \u0628\u0639\u062f\u060c \u0633\u0631\u0648\u0633 \u0646\u0626\u06d2 \u0635\u0627\u0631\u0641 \u0646\u0627\u0645 \u06a9\u0648 \u0641\u0644\u0679\u0631 \u0627\u0648\u0631 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id=\"heading-apache-cassandra\">\u0627\u067e\u0627\u0686\u06cc \u06a9\u06cc\u0633\u06cc\u0646\u0688\u0631\u0627\u06d4<\/h3>\n<p>\u06c1\u0631 SSTable (\u0688\u0633\u06a9 \u067e\u0631 \u0630\u062e\u06cc\u0631\u06c1 \u0634\u062f\u06c1 \u0641\u0627\u0626\u0644) \u06a9\u06d2 \u0633\u0627\u062a\u06be \u0645\u06cc\u0645\u0648\u0631\u06cc \u0645\u06cc\u06ba \u0627\u06cc\u06a9 \u0628\u0644\u0648\u0645 \u0641\u0644\u0679\u0631 \u0645\u0646\u0633\u0644\u06a9 \u06c1\u0648\u062a\u0627 \u06c1\u06d2\u06d4 \u06a9\u0644\u06cc\u062f \u0633\u06d2 \u0627\u0633\u062a\u0641\u0633\u0627\u0631 \u06a9\u0631\u062a\u06d2 \u0648\u0642\u062a\u060c \u06a9\u06cc\u0633\u06cc\u0646\u0688\u0631\u0627 \u0633\u0628 \u0633\u06d2 \u067e\u06c1\u0644\u06d2 \u06c1\u0631 SSTable \u06a9\u06d2 \u0641\u0644\u0679\u0631 \u06a9\u0648 \u0686\u06cc\u06a9 \u06a9\u0631\u062a\u06cc \u06c1\u06d2\u06d4 \"\u06cc\u0642\u06cc\u0646\u06cc \u0637\u0648\u0631 \u067e\u0631 \u06cc\u06c1\u0627\u06ba \u0646\u06c1\u06cc\u06ba\" 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