{"id":477832,"date":"2023-08-09T09:21:11","date_gmt":"2023-08-09T09:21:11","guid":{"rendered":""},"modified":"2023-09-05T11:15:32","modified_gmt":"2023-09-05T11:15:32","slug":"linear-search","status":"publish","type":"wiki","link":"https:\/\/oneproxy.pro\/vn\/wiki\/linear-search\/","title":{"rendered":"T\u00ecm ki\u1ebfm tuy\u1ebfn t\u00ednh"},"content":{"rendered":"<h2>Gi\u1edbi thi\u1ec7u<\/h2>\n<p>T\u00ecm ki\u1ebfm tuy\u1ebfn t\u00ednh, c\u00f2n \u0111\u01b0\u1ee3c g\u1ecdi l\u00e0 t\u00ecm ki\u1ebfm tu\u1ea7n t\u1ef1, l\u00e0 m\u1ed9t thu\u1eadt to\u00e1n t\u00ecm ki\u1ebfm \u0111\u01a1n gi\u1ea3n v\u00e0 d\u1ec5 hi\u1ec3u \u0111\u01b0\u1ee3c s\u1eed d\u1ee5ng \u0111\u1ec3 t\u00ecm m\u1ed9t ph\u1ea7n t\u1eed c\u1ee5 th\u1ec3 trong danh s\u00e1ch c\u00e1c m\u1ee5c. N\u00f3 \u0111\u01b0\u1ee3c coi l\u00e0 m\u1ed9t trong nh\u1eefng thu\u1eadt to\u00e1n t\u00ecm ki\u1ebfm c\u01a1 b\u1ea3n nh\u1ea5t v\u00e0 \u0111\u00e3 \u0111\u01b0\u1ee3c s\u1eed d\u1ee5ng trong nhi\u1ec1u l\u0129nh v\u1ef1c kh\u00e1c nhau trong nhi\u1ec1u th\u1eadp k\u1ef7. Trong b\u00e0i vi\u1ebft n\u00e0y, ch\u00fang ta s\u1ebd kh\u00e1m ph\u00e1 l\u1ecbch s\u1eed, nguy\u00ean t\u1eafc l\u00e0m vi\u1ec7c, c\u00e1c lo\u1ea1i, \u1ee9ng d\u1ee5ng v\u00e0 tri\u1ec3n v\u1ecdng trong t\u01b0\u01a1ng lai c\u1ee7a t\u00ecm ki\u1ebfm tuy\u1ebfn t\u00ednh.<\/p>\n<h2>Ngu\u1ed3n g\u1ed1c c\u1ee7a t\u00ecm ki\u1ebfm tuy\u1ebfn t\u00ednh<\/h2>\n<p>Kh\u00e1i ni\u1ec7m t\u00ecm ki\u1ebfm m\u1ed9t m\u00f3n \u0111\u1ed3 c\u1ee5 th\u1ec3 trong b\u1ed9 s\u01b0u t\u1eadp \u0111\u00e3 c\u00f3 t\u1eeb th\u1eddi c\u1ed5 \u0111\u1ea1i. C\u00e1c n\u1ec1n v\u0103n minh s\u01a1 khai c\u1ee7a lo\u00e0i ng\u01b0\u1eddi s\u1eed d\u1ee5ng k\u1ef9 thu\u1eadt t\u00ecm ki\u1ebfm tuy\u1ebfn t\u00ednh khi t\u00ecm ki\u1ebfm c\u00e1c \u0111\u1ed3 v\u1eadt ho\u1eb7c th\u00f4ng tin c\u1ee5 th\u1ec3 t\u1eeb m\u00f4i tr\u01b0\u1eddng xung quanh. Tuy nhi\u00ean, m\u00f4 t\u1ea3 ch\u00ednh th\u1ee9c v\u1ec1 t\u00ecm ki\u1ebfm tuy\u1ebfn t\u00ednh nh\u01b0 m\u1ed9t thu\u1eadt to\u00e1n l\u1ea7n \u0111\u1ea7u ti\u00ean \u0111\u01b0\u1ee3c \u0111\u1ec1 c\u1eadp trong t\u00e0i li\u1ec7u khoa h\u1ecdc m\u00e1y t\u00ednh.<\/p>\n<p>T\u00e0i li\u1ec7u tham kh\u1ea3o s\u1edbm nh\u1ea5t v\u1ec1 t\u00ecm ki\u1ebfm tuy\u1ebfn t\u00ednh c\u00f3 t\u1eeb n\u0103m 1946 khi m\u1ed9t nh\u00f3m c\u00e1c nh\u00e0 khoa h\u1ecdc, bao g\u1ed3m Grace Hopper v\u00e0 Howard Aiken, \u0111ang l\u00e0m vi\u1ec7c tr\u00ean m\u00e1y t\u00ednh Harvard Mark I. M\u1eb7c d\u00f9 b\u1ea3n th\u00e2n thu\u1eadt to\u00e1n \u0111\u00e3 \u0111\u01b0\u1ee3c s\u1eed d\u1ee5ng tr\u01b0\u1edbc \u0111\u00f3 nh\u01b0ng \u0111\u1ecbnh ngh\u0129a ch\u00ednh th\u1ee9c c\u1ee7a n\u00f3 trong b\u1ed1i c\u1ea3nh \u0111i\u1ec7n to\u00e1n b\u1eaft ngu\u1ed3n t\u1eeb d\u1ef1 \u00e1n n\u00e0y.<\/p>\n<h2>Th\u00f4ng tin chi ti\u1ebft v\u1ec1 t\u00ecm ki\u1ebfm tuy\u1ebfn t\u00ednh<\/h2>\n<p>T\u00ecm ki\u1ebfm tuy\u1ebfn t\u00ednh ho\u1ea1t \u0111\u1ed9ng b\u1eb1ng c\u00e1ch ki\u1ec3m tra tu\u1ea7n t\u1ef1 t\u1eebng ph\u1ea7n t\u1eed trong danh s\u00e1ch cho \u0111\u1ebfn khi t\u00ecm th\u1ea5y m\u1ee5c \u0111\u00edch ho\u1eb7c cho \u0111\u1ebfn khi t\u1ea5t c\u1ea3 c\u00e1c ph\u1ea7n t\u1eed \u0111\u00e3 \u0111\u01b0\u1ee3c ki\u1ec3m tra. Thu\u1eadt to\u00e1n t\u00ecm ki\u1ebfm n\u00e0y \u0111\u1eb7c bi\u1ec7t h\u1eefu \u00edch cho c\u00e1c danh s\u00e1ch c\u00f3 k\u00edch th\u01b0\u1edbc nh\u1ecf ho\u1eb7c c\u00e1c t\u1eadp d\u1eef li\u1ec7u ch\u01b0a \u0111\u01b0\u1ee3c s\u1eafp x\u1ebfp, nh\u01b0ng hi\u1ec7u qu\u1ea3 c\u1ee7a n\u00f3 s\u1ebd gi\u1ea3m khi k\u00edch th\u01b0\u1edbc c\u1ee7a danh s\u00e1ch t\u0103ng l\u00ean. M\u1eb7c d\u00f9 \u0111\u01a1n gi\u1ea3n nh\u01b0ng t\u00ecm ki\u1ebfm tuy\u1ebfn t\u00ednh c\u0169ng c\u00f3 nh\u1eefng h\u1ea1n ch\u1ebf, \u0111\u1eb7c bi\u1ec7t khi x\u1eed l\u00fd c\u01a1 s\u1edf d\u1eef li\u1ec7u quy m\u00f4 l\u1edbn.<\/p>\n<h2>C\u1ea5u tr\u00fac b\u00ean trong c\u1ee7a t\u00ecm ki\u1ebfm tuy\u1ebfn t\u00ednh<\/h2>\n<p>C\u1ea5u tr\u00fac b\u00ean trong c\u1ee7a t\u00ecm ki\u1ebfm tuy\u1ebfn t\u00ednh kh\u00e1 \u0111\u01a1n gi\u1ea3n. Thu\u1eadt to\u00e1n b\u1eaft \u0111\u1ea7u b\u1eb1ng c\u00e1ch b\u1eaft \u0111\u1ea7u t\u1eeb ph\u1ea7n t\u1eed \u0111\u1ea7u ti\u00ean trong danh s\u00e1ch v\u00e0 so s\u00e1nh n\u00f3 v\u1edbi ph\u1ea7n t\u1eed \u0111\u00edch. N\u1ebfu ph\u1ea7n t\u1eed kh\u1edbp v\u1edbi m\u1ee5c ti\u00eau th\u00ec t\u00ecm ki\u1ebfm th\u00e0nh c\u00f4ng v\u00e0 thu\u1eadt to\u00e1n k\u1ebft th\u00fac. N\u1ebfu kh\u00f4ng, t\u00ecm ki\u1ebfm s\u1ebd chuy\u1ec3n sang ph\u1ea7n t\u1eed ti\u1ebfp theo trong danh s\u00e1ch cho \u0111\u1ebfn khi t\u00ecm th\u1ea5y m\u1ee5c ti\u00eau ho\u1eb7c t\u1ea5t c\u1ea3 c\u00e1c ph\u1ea7n t\u1eed \u0111\u00e3 \u0111\u01b0\u1ee3c ki\u1ec3m tra.<\/p>\n<p>M\u00e3 gi\u1ea3 cho t\u00ecm ki\u1ebfm tuy\u1ebfn t\u00ednh c\u00f3 th\u1ec3 \u0111\u01b0\u1ee3c bi\u1ec3u di\u1ec5n nh\u01b0 sau:<\/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>javascript<\/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>Sao ch\u00e9p m\u00e3<\/button><\/div><div class=\"p-4 overflow-y-auto\"><code class=\"!whitespace-pre hljs language-javascript\" data-no-translation=\"\"><span class=\"hljs-keyword\">function<\/span> <span class=\"hljs-title function_\">linearSearch<\/span>(<span class=\"hljs-params\">list, target<\/span>):\n    <span class=\"hljs-keyword\">for<\/span> each element <span class=\"hljs-keyword\">in<\/span> <span class=\"hljs-attr\">list<\/span>:\n        <span class=\"hljs-keyword\">if<\/span> element == <span class=\"hljs-attr\">target<\/span>:\n            <span class=\"hljs-keyword\">return<\/span> element\n    <span class=\"hljs-keyword\">return<\/span> <span class=\"hljs-literal\">null<\/span>\n<\/code><\/div><\/div><\/pre>\n<h2>Ph\u00e2n t\u00edch c\u00e1c t\u00ednh n\u0103ng ch\u00ednh<\/h2>\n<p>T\u00ecm ki\u1ebfm tuy\u1ebfn t\u00ednh s\u1edf h\u1eefu m\u1ed9t s\u1ed1 t\u00ednh n\u0103ng nh\u1ea5t \u0111\u1ecbnh \u1ea3nh h\u01b0\u1edfng \u0111\u1ebfn t\u00ednh th\u1ef1c t\u1ebf v\u00e0 hi\u1ec7u qu\u1ea3 c\u1ee7a n\u00f3 trong c\u00e1c t\u00ecnh hu\u1ed1ng kh\u00e1c nhau:<\/p>\n<ol>\n<li>\n<p>T\u00ednh \u0111\u01a1n gi\u1ea3n: T\u00ecm ki\u1ebfm tuy\u1ebfn t\u00ednh d\u1ec5 hi\u1ec3u v\u00e0 d\u1ec5 th\u1ef1c hi\u1ec7n, khi\u1ebfn n\u00f3 tr\u1edf th\u00e0nh l\u1ef1a ch\u1ecdn c\u00f3 gi\u00e1 tr\u1ecb cho c\u00e1c \u1ee9ng d\u1ee5ng \u0111\u01a1n gi\u1ea3n v\u00e0 m\u1ee5c \u0111\u00edch gi\u00e1o d\u1ee5c.<\/p>\n<\/li>\n<li>\n<p>\u0110\u1ed9 ph\u1ee9c t\u1ea1p v\u1ec1 th\u1eddi gian: Trong tr\u01b0\u1eddng h\u1ee3p x\u1ea5u nh\u1ea5t, khi ph\u1ea7n t\u1eed \u0111\u00edch \u1edf cu\u1ed1i danh s\u00e1ch ho\u1eb7c kh\u00f4ng c\u00f3 m\u1eb7t, t\u00ecm ki\u1ebfm tuy\u1ebfn t\u00ednh c\u00f3 \u0111\u1ed9 ph\u1ee9c t\u1ea1p v\u1ec1 th\u1eddi gian l\u00e0 O(n), trong \u0111\u00f3 n l\u00e0 s\u1ed1 ph\u1ea7n t\u1eed trong danh s\u00e1ch.<\/p>\n<\/li>\n<li>\n<p>Danh s\u00e1ch ch\u01b0a \u0111\u01b0\u1ee3c s\u1eafp x\u1ebfp: T\u00ecm ki\u1ebfm tuy\u1ebfn t\u00ednh c\u00f3 th\u1ec3 \u0111\u01b0\u1ee3c \u00e1p d\u1ee5ng cho danh s\u00e1ch ch\u01b0a \u0111\u01b0\u1ee3c s\u1eafp x\u1ebfp v\u00ec n\u00f3 ki\u1ec3m tra tu\u1ea7n t\u1ef1 t\u1eebng ph\u1ea7n t\u1eed.<\/p>\n<\/li>\n<li>\n<p>Hi\u1ec7u qu\u1ea3 b\u1ed9 nh\u1edb: T\u00ecm ki\u1ebfm tuy\u1ebfn t\u00ednh kh\u00f4ng y\u00eau c\u1ea7u b\u1ea5t k\u1ef3 c\u1ea5u tr\u00fac d\u1eef li\u1ec7u b\u1ed5 sung n\u00e0o, gi\u00fap n\u00f3 ti\u1ebft ki\u1ec7m b\u1ed9 nh\u1edb.<\/p>\n<\/li>\n<\/ol>\n<h2>C\u00e1c lo\u1ea1i t\u00ecm ki\u1ebfm tuy\u1ebfn t\u00ednh<\/h2>\n<p>C\u00f3 hai bi\u1ebfn th\u1ec3 ph\u1ed5 bi\u1ebfn c\u1ee7a t\u00ecm ki\u1ebfm tuy\u1ebfn t\u00ednh:<\/p>\n<ol>\n<li>\n<p><strong>T\u00ecm ki\u1ebfm tuy\u1ebfn t\u00ednh c\u01a1 b\u1ea3n<\/strong>: Nh\u01b0 \u0111\u00e3 m\u00f4 t\u1ea3 tr\u01b0\u1edbc \u0111\u00f3, \u0111\u00e2y l\u00e0 phi\u00ean b\u1ea3n ti\u00eau chu\u1ea9n c\u1ee7a thu\u1eadt to\u00e1n t\u00ecm ki\u1ebfm tu\u1ea7n t\u1ef1 to\u00e0n b\u1ed9 danh s\u00e1ch.<\/p>\n<\/li>\n<li>\n<p><strong>T\u00ecm ki\u1ebfm tuy\u1ebfn t\u00ednh Sentinel<\/strong>: Bi\u1ebfn th\u1ec3 n\u00e0y li\u00ean quan \u0111\u1ebfn vi\u1ec7c th\u00eam m\u1ed9t tr\u1ecdng \u0111i\u1ec3m (m\u1ed9t gi\u00e1 tr\u1ecb \u0111\u1eb7c bi\u1ec7t kh\u00f4ng c\u00f3 trong danh s\u00e1ch) v\u00e0o cu\u1ed1i danh s\u00e1ch. Vi\u1ec7c t\u1ed1i \u01b0u h\u00f3a n\u00e0y gi\u00fap lo\u1ea1i b\u1ecf nhu c\u1ea7u ki\u1ec3m tra ph\u1ea7n cu\u1ed1i c\u1ee7a danh s\u00e1ch b\u00ean trong v\u00f2ng l\u1eb7p, c\u00f3 kh\u1ea3 n\u0103ng c\u1ea3i thi\u1ec7n hi\u1ec7u su\u1ea5t.<\/p>\n<\/li>\n<\/ol>\n<p>D\u01b0\u1edbi \u0111\u00e2y l\u00e0 b\u1ea3ng so s\u00e1nh n\u00eau b\u1eadt s\u1ef1 kh\u00e1c bi\u1ec7t gi\u1eefa hai lo\u1ea1i:<\/p>\n<table>\n<thead>\n<tr>\n<th>T\u00ednh n\u0103ng<\/th>\n<th>T\u00ecm ki\u1ebfm tuy\u1ebfn t\u00ednh c\u01a1 b\u1ea3n<\/th>\n<th>T\u00ecm ki\u1ebfm tuy\u1ebfn t\u00ednh Sentinel<\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr>\n<td>S\u1ef1 hi\u1ec7n di\u1ec7n c\u1ee7a Sentinel<\/td>\n<td>KH\u00d4NG<\/td>\n<td>\u0110\u00fang<\/td>\n<\/tr>\n<tr>\n<td>Ki\u1ec3m tra cu\u1ed1i danh s\u00e1ch<\/td>\n<td>\u0110\u00fang<\/td>\n<td>KH\u00d4NG<\/td>\n<\/tr>\n<tr>\n<td>\u0110\u1ed9 ph\u1ee9c t\u1ea1p th\u1eddi gian<\/td>\n<td>TR\u00caN)<\/td>\n<td>TR\u00caN)<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<h2>C\u00e1ch s\u1eed d\u1ee5ng t\u00ecm ki\u1ebfm tuy\u1ebfn t\u00ednh v\u00e0 c\u00e1c v\u1ea5n \u0111\u1ec1 th\u01b0\u1eddng g\u1eb7p<\/h2>\n<p>T\u00ecm ki\u1ebfm tuy\u1ebfn t\u00ednh t\u00ecm th\u1ea5y \u1ee9ng d\u1ee5ng c\u1ee7a n\u00f3 trong nhi\u1ec1u t\u00ecnh hu\u1ed1ng kh\u00e1c nhau, ch\u1eb3ng h\u1ea1n nh\u01b0:<\/p>\n<ol>\n<li>\n<p><strong>Danh s\u00e1ch nh\u1ecf<\/strong>: N\u00f3 hi\u1ec7u qu\u1ea3 \u0111\u1ed1i v\u1edbi c\u00e1c danh s\u00e1ch ho\u1eb7c t\u1eadp d\u1eef li\u1ec7u nh\u1ecf trong \u0111\u00f3 kh\u00f4ng c\u1ea7n thi\u1ebft ph\u1ea3i s\u1eed d\u1ee5ng c\u00e1c thu\u1eadt to\u00e1n ph\u1ee9c t\u1ea1p h\u01a1n.<\/p>\n<\/li>\n<li>\n<p><strong>Danh s\u00e1ch ch\u01b0a s\u1eafp x\u1ebfp<\/strong>: T\u00ecm ki\u1ebfm tuy\u1ebfn t\u00ednh c\u00f3 th\u1ec3 \u0111\u01b0\u1ee3c s\u1eed d\u1ee5ng khi danh s\u00e1ch ch\u01b0a \u0111\u01b0\u1ee3c s\u1eafp x\u1ebfp v\u00ec c\u00e1c thu\u1eadt to\u00e1n t\u00ecm ki\u1ebfm kh\u00e1c c\u00f3 th\u1ec3 y\u00eau c\u1ea7u d\u1eef li\u1ec7u \u0111\u01b0\u1ee3c s\u1eafp x\u1ebfp.<\/p>\n<\/li>\n<\/ol>\n<p>Tuy nhi\u00ean, c\u00f3 m\u1ed9t s\u1ed1 v\u1ea5n \u0111\u1ec1 nh\u1ea5t \u0111\u1ecbnh li\u00ean quan \u0111\u1ebfn t\u00ecm ki\u1ebfm tuy\u1ebfn t\u00ednh:<\/p>\n<ol>\n<li>\n<p><strong>Kh\u00f4ng hi\u1ec7u qu\u1ea3 cho danh s\u00e1ch l\u1edbn<\/strong>: Khi k\u00edch th\u01b0\u1edbc c\u1ee7a danh s\u00e1ch t\u0103ng l\u00ean, t\u00ecm ki\u1ebfm tuy\u1ebfn t\u00ednh ng\u00e0y c\u00e0ng tr\u1edf n\u00ean k\u00e9m hi\u1ec7u qu\u1ea3 do \u0111\u1ed9 ph\u1ee9c t\u1ea1p v\u1ec1 th\u1eddi gian tuy\u1ebfn t\u00ednh c\u1ee7a n\u00f3.<\/p>\n<\/li>\n<li>\n<p><strong>C\u00e1c ph\u1ea7n t\u1eed tr\u00f9ng l\u1eb7p<\/strong>: Khi m\u1ed9t danh s\u00e1ch ch\u1ee9a c\u00e1c ph\u1ea7n t\u1eed tr\u00f9ng l\u1eb7p, t\u00ecm ki\u1ebfm tuy\u1ebfn t\u00ednh c\u00f3 th\u1ec3 tr\u1ea3 v\u1ec1 l\u1ea7n xu\u1ea5t hi\u1ec7n \u0111\u1ea7u ti\u00ean c\u1ee7a m\u1ee5c \u0111\u00edch v\u00e0 k\u1ebft qu\u1ea3 n\u00e0y c\u00f3 th\u1ec3 kh\u00f4ng ph\u1ea3i l\u00e0 k\u1ebft qu\u1ea3 mong mu\u1ed1n.<\/p>\n<\/li>\n<\/ol>\n<p>\u0110\u1ec3 gi\u1ea3i quy\u1ebft nh\u1eefng v\u1ea5n \u0111\u1ec1 n\u00e0y, c\u00e1c thu\u1eadt to\u00e1n t\u00ecm ki\u1ebfm thay th\u1ebf nh\u01b0 t\u00ecm ki\u1ebfm nh\u1ecb ph\u00e2n ho\u1eb7c t\u00ecm ki\u1ebfm d\u1ef1a tr\u00ean h\u00e0m b\u0103m c\u00f3 th\u1ec3 ph\u00f9 h\u1ee3p h\u01a1n v\u1edbi c\u00e1c t\u1eadp d\u1eef li\u1ec7u l\u1edbn h\u01a1n ho\u1eb7c khi ph\u1ed5 bi\u1ebfn c\u00e1c b\u1ea3n sao.<\/p>\n<h2>\u0110\u1eb7c \u0111i\u1ec3m ch\u00ednh v\u00e0 so s\u00e1nh<\/h2>\n<p>H\u00e3y so s\u00e1nh t\u00ecm ki\u1ebfm tuy\u1ebfn t\u00ednh v\u1edbi c\u00e1c thu\u1eadt to\u00e1n t\u00ecm ki\u1ebfm ph\u1ed5 bi\u1ebfn kh\u00e1c v\u1ec1 \u0111\u1ed9 ph\u1ee9c t\u1ea1p v\u00e0 t\u00ednh ph\u00f9 h\u1ee3p v\u1ec1 th\u1eddi gian c\u1ee7a ch\u00fang:<\/p>\n<table>\n<thead>\n<tr>\n<th>Thu\u1eadt to\u00e1n<\/th>\n<th>\u0110\u1ed9 ph\u1ee9c t\u1ea1p th\u1eddi gian<\/th>\n<th>S\u1ef1 ph\u00f9 h\u1ee3p<\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr>\n<td>T\u00ecm ki\u1ebfm tuy\u1ebfn t\u00ednh<\/td>\n<td>TR\u00caN)<\/td>\n<td>Danh s\u00e1ch nh\u1ecf, d\u1eef li\u1ec7u ch\u01b0a \u0111\u01b0\u1ee3c s\u1eafp x\u1ebfp<\/td>\n<\/tr>\n<tr>\n<td>T\u00ecm ki\u1ebfm nh\u1ecb ph\u00e2n<\/td>\n<td>O(logn)<\/td>\n<td>D\u1eef li\u1ec7u \u0111\u01b0\u1ee3c s\u1eafp x\u1ebfp<\/td>\n<\/tr>\n<tr>\n<td>D\u1ef1a tr\u00ean h\u00e0m b\u0103m<\/td>\n<td>O(1) \u2013 O(n)<\/td>\n<td>C\u01a1 s\u1edf d\u1eef li\u1ec7u l\u1edbn, gi\u00e1 tr\u1ecb duy nh\u1ea5t<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>Nh\u01b0 \u0111\u00e3 th\u1ea5y trong b\u1ea3ng, t\u00ecm ki\u1ebfm tuy\u1ebfn t\u00ednh ho\u1ea1t \u0111\u1ed9ng t\u1ed1t nh\u1ea5t \u0111\u1ed1i v\u1edbi c\u00e1c danh s\u00e1ch nh\u1ecf ho\u1eb7c d\u1eef li\u1ec7u ch\u01b0a \u0111\u01b0\u1ee3c s\u1eafp x\u1ebfp, trong khi c\u00e1c thu\u1eadt to\u00e1n kh\u00e1c mang l\u1ea1i hi\u1ec7u su\u1ea5t t\u1ed1t h\u01a1n cho c\u00e1c tr\u01b0\u1eddng h\u1ee3p c\u1ee5 th\u1ec3.<\/p>\n<h2>Quan \u0111i\u1ec3m v\u00e0 c\u00f4ng ngh\u1ec7 t\u01b0\u01a1ng lai<\/h2>\n<p>Trong khi t\u00ecm ki\u1ebfm tuy\u1ebfn t\u00ednh v\u1eabn l\u00e0 m\u1ed9t thu\u1eadt to\u00e1n c\u01a1 b\u1ea3n, nh\u1eefng ti\u1ebfn b\u1ed9 trong t\u00ednh to\u00e1n v\u00e0 qu\u1ea3n l\u00fd d\u1eef li\u1ec7u \u0111\u00e3 chuy\u1ec3n tr\u1ecdng t\u00e2m sang c\u00e1c k\u1ef9 thu\u1eadt t\u00ecm ki\u1ebfm ph\u1ee9c t\u1ea1p h\u01a1n. C\u01a1 s\u1edf d\u1eef li\u1ec7u v\u00e0 c\u00f4ng c\u1ee5 t\u00ecm ki\u1ebfm hi\u1ec7n \u0111\u1ea1i s\u1eed d\u1ee5ng nhi\u1ec1u c\u1ea5u tr\u00fac d\u1eef li\u1ec7u v\u00e0 thu\u1eadt to\u00e1n kh\u00e1c nhau \u0111\u1ec3 n\u00e2ng cao hi\u1ec7u qu\u1ea3 t\u00ecm ki\u1ebfm v\u00e0 x\u1eed l\u00fd c\u00e1c b\u1ed9 d\u1eef li\u1ec7u l\u1edbn.<\/p>\n<p>C\u00e1c c\u00f4ng ngh\u1ec7 trong t\u01b0\u01a1ng lai c\u00f3 th\u1ec3 ch\u1ee9ng ki\u1ebfn s\u1ef1 t\u00edch h\u1ee3p c\u1ee7a tr\u00ed tu\u1ec7 nh\u00e2n t\u1ea1o v\u00e0 h\u1ecdc m\u00e1y \u0111\u1ec3 t\u1ed1i \u01b0u h\u00f3a h\u01a1n n\u1eefa c\u00e1c thu\u1eadt to\u00e1n t\u00ecm ki\u1ebfm c\u0169ng nh\u01b0 c\u1ea3i thi\u1ec7n \u0111\u1ed9 ch\u00ednh x\u00e1c v\u00e0 t\u1ed1c \u0111\u1ed9 c\u1ee7a ch\u00fang.<\/p>\n<h2>M\u00e1y ch\u1ee7 proxy v\u00e0 t\u00ecm ki\u1ebfm tuy\u1ebfn t\u00ednh<\/h2>\n<p>C\u00e1c m\u00e1y ch\u1ee7 proxy, gi\u1ed1ng nh\u01b0 c\u00e1c m\u00e1y ch\u1ee7 do OneProxy cung c\u1ea5p, \u0111\u00f3ng m\u1ed9t vai tr\u00f2 quan tr\u1ecdng trong vi\u1ec7c n\u00e2ng cao tr\u1ea3i nghi\u1ec7m duy\u1ec7t internet. H\u1ecd \u0111\u00f3ng vai tr\u00f2 trung gian gi\u1eefa ng\u01b0\u1eddi d\u00f9ng v\u00e0 web, gi\u00fap c\u1ea3i thi\u1ec7n t\u00ednh b\u1ea3o m\u1eadt, \u1ea9n danh v\u00e0 quy\u1ec1n truy c\u1eadp v\u00e0o n\u1ed9i dung b\u1ecb gi\u1edbi h\u1ea1n v\u1ec1 m\u1eb7t \u0111\u1ecba l\u00fd. M\u1eb7c d\u00f9 b\u1ea3n th\u00e2n c\u00e1c m\u00e1y ch\u1ee7 proxy kh\u00f4ng \u0111\u01b0\u1ee3c li\u00ean k\u1ebft tr\u1ef1c ti\u1ebfp v\u1edbi t\u00ecm ki\u1ebfm tuy\u1ebfn t\u00ednh nh\u01b0ng ch\u00fang c\u00f3 th\u1ec3 h\u01b0\u1edfng l\u1ee3i t\u1eeb c\u00e1c thu\u1eadt to\u00e1n t\u00ecm ki\u1ebfm hi\u1ec7u qu\u1ea3 \u0111\u1ec3 qu\u1ea3n l\u00fd c\u01a1 s\u1edf d\u1eef li\u1ec7u n\u1ed9i b\u1ed9 v\u00e0 \u0111\u1ecbnh tuy\u1ebfn c\u00e1c y\u00eau c\u1ea7u c\u1ee7a ng\u01b0\u1eddi d\u00f9ng m\u1ed9t c\u00e1ch hi\u1ec7u qu\u1ea3.<\/p>\n<h2>Li\u00ean k\u1ebft li\u00ean quan<\/h2>\n<p>\u0110\u1ec3 bi\u1ebft th\u00eam th\u00f4ng tin v\u1ec1 t\u00ecm ki\u1ebfm tuy\u1ebfn t\u00ednh v\u00e0 c\u00e1c ch\u1ee7 \u0111\u1ec1 li\u00ean quan, h\u00e3y tham kh\u1ea3o c\u00e1c t\u00e0i nguy\u00ean sau:<\/p>\n<ol>\n<li><a href=\"https:\/\/en.wikipedia.org\/wiki\/Linear_search\" target=\"_new\" rel=\"noopener nofollow\">Wikipedia \u2013 T\u00ecm ki\u1ebfm tuy\u1ebfn t\u00ednh<\/a><\/li>\n<li><a href=\"https:\/\/www.geeksforgeeks.org\/linear-search\/\" target=\"_new\" rel=\"noopener nofollow\">GeeksforGeeks \u2013 T\u00ecm ki\u1ebfm tuy\u1ebfn t\u00ednh<\/a><\/li>\n<li><a href=\"https:\/\/www.khanacademy.org\/computing\/computer-science\/algorithms\/linear-search\/a\/linear-search\" target=\"_new\" rel=\"noopener nofollow\">H\u1ecdc vi\u1ec7n Khan \u2013 T\u00ecm ki\u1ebfm tuy\u1ebfn t\u00ednh<\/a><\/li>\n<\/ol>\n<p>T\u00f3m l\u1ea1i, t\u00ecm ki\u1ebfm tuy\u1ebfn t\u00ednh v\u1eabn l\u00e0 m\u1ed9t thu\u1eadt to\u00e1n c\u00f3 gi\u00e1 tr\u1ecb trong c\u00e1c t\u00ecnh hu\u1ed1ng c\u1ee5 th\u1ec3, \u0111\u1eb7c bi\u1ec7t \u0111\u1ed1i v\u1edbi c\u00e1c t\u1eadp d\u1eef li\u1ec7u nh\u1ecf v\u00e0 ch\u01b0a \u0111\u01b0\u1ee3c s\u1eafp x\u1ebfp. Trong khi c\u00e1c thu\u1eadt to\u00e1n t\u00ecm ki\u1ebfm kh\u00e1c cung c\u1ea5p hi\u1ec7u su\u1ea5t t\u1ed1t h\u01a1n cho m\u1ed9t s\u1ed1 tr\u01b0\u1eddng h\u1ee3p nh\u1ea5t \u0111\u1ecbnh, th\u00ec t\u00ednh \u0111\u01a1n gi\u1ea3n v\u00e0 d\u1ec5 th\u1ef1c hi\u1ec7n c\u1ee7a t\u00ecm ki\u1ebfm tuy\u1ebfn t\u00ednh khi\u1ebfn n\u00f3 tr\u1edf th\u00e0nh m\u1ed9t kh\u00e1i ni\u1ec7m thi\u1ebft y\u1ebfu trong l\u0129nh v\u1ef1c khoa h\u1ecdc m\u00e1y t\u00ednh v\u00e0 x\u1eed l\u00fd d\u1eef li\u1ec7u. Khi c\u00f4ng ngh\u1ec7 ti\u1ebfp t\u1ee5c ph\u00e1t tri\u1ec3n, ch\u00fang ta c\u00f3 th\u1ec3 ch\u1ee9ng ki\u1ebfn nh\u1eefng c\u1ea3i ti\u1ebfn v\u00e0 \u0111\u1ed5i m\u1edbi h\u01a1n n\u1eefa trong l\u0129nh v\u1ef1c thu\u1eadt to\u00e1n t\u00ecm ki\u1ebfm v\u00e0 \u1ee9ng d\u1ee5ng c\u1ee7a ch\u00fang.<\/p>","protected":false},"featured_media":468781,"menu_order":0,"template":"","meta":{"_acf_changed":false,"content-type":"","inline_featured_image":false,"footnotes":""},"class_list":["post-477832","wiki","type-wiki","status-publish","has-post-thumbnail","hentry"],"acf":{"faq_title":"Frequently Asked Questions about <mark>Linear Search: An In-Depth Guide<\/mark>","faq_items":[{"question":"<strong>What is Linear Search, and where does it originate?<\/strong>","answer":"<p>Linear Search, also known as sequential search, is a basic algorithm used to find a specific element in a list. It sequentially examines each element until the target is found or all elements have been checked. The concept of linear search has been used since ancient times, but its formal definition in computer science literature dates back to 1946 during the Harvard Mark I computer project.<\/p>"},{"question":"<strong>How does Linear Search work internally?<\/strong>","answer":"<p>Linear Search operates by starting at the first element in the list and comparing it with the target element. If the element matches the target, the search is successful, and the algorithm terminates. If not, it moves on to the next element until either the target is found or all elements are examined.<\/p>"},{"question":"<strong>What are the key features of Linear Search?<\/strong>","answer":"<p>Linear Search is characterized by its simplicity, making it easy to understand and implement. It is suitable for small lists or unsorted data and does not require any additional data structures, making it memory-efficient. However, its efficiency decreases as the size of the list grows, and it may not be the best choice for large databases.<\/p>"},{"question":"<strong>Are there different types of Linear Search?<\/strong>","answer":"<p>Yes, there are two common types of Linear Search. The basic Linear Search follows the standard algorithm we described earlier. The Sentinel Linear Search involves adding a sentinel (a special value) to the end of the list, which can optimize the search process and improve performance.<\/p>"},{"question":"<strong>When is Linear Search useful, and what problems can arise?<\/strong>","answer":"<p>Linear Search is useful for small lists, unsorted data, and when a simple algorithm is needed. However, it may become inefficient for large datasets due to its linear time complexity. Additionally, when a list contains duplicate elements, Linear Search may return the first occurrence of the target item, which may not be the intended result.<\/p>"},{"question":"<strong>How does Linear Search compare to other search algorithms?<\/strong>","answer":"<p>Linear Search has a time complexity of O(n) in the worst case, where n is the number of elements in the list. In comparison, Binary Search has a time complexity of O(log n) for sorted data, while hash-based searches can have time complexities ranging from O(1) to O(n) depending on the specific implementation.<\/p>"},{"question":"<strong>What does the future hold for Linear Search and related technologies?<\/strong>","answer":"<p>While Linear Search remains a fundamental algorithm, advancements in computing and data management have led to more sophisticated search techniques. Future technologies may integrate artificial intelligence and machine learning to optimize search algorithms further.<\/p>"},{"question":"<strong>How are proxy servers associated with Linear Search?<\/strong>","answer":"<p>Proxy servers, like those provided by OneProxy, act as intermediaries between users and the web. While not directly related to Linear Search, proxy servers can benefit from efficient search algorithms to manage their internal databases and handle user requests more effectively.<\/p>"}]},"_links":{"self":[{"href":"https:\/\/oneproxy.pro\/vn\/wp-json\/wp\/v2\/wiki\/477832","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/oneproxy.pro\/vn\/wp-json\/wp\/v2\/wiki"}],"about":[{"href":"https:\/\/oneproxy.pro\/vn\/wp-json\/wp\/v2\/types\/wiki"}],"version-history":[{"count":0,"href":"https:\/\/oneproxy.pro\/vn\/wp-json\/wp\/v2\/wiki\/477832\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/oneproxy.pro\/vn\/wp-json\/wp\/v2\/media\/468781"}],"wp:attachment":[{"href":"https:\/\/oneproxy.pro\/vn\/wp-json\/wp\/v2\/media?parent=477832"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}