Soi c\u1ea7u Pascal<\/strong> l\u00e0 m\u1ed9t trong nh\u1eefng ph\u01b0\u01a1ng ph\u00e1p b\u1eaft l\u00f4<\/strong><\/span> hay nh\u1ea5t v\u1edbi t\u1ef7 l\u1ec7 b\u1eaft tr\u00fang c\u1ef1c cao. Ng\u00e0y nay, tr\u00ean m\u1ea1ng x\u00e3 h\u1ed9i v\u1edbi s\u1ef1 ph\u00e1t tri\u1ec3n c\u1ee7a h\u00e0ng lo\u1ea1t nh\u1eefng b\u00ed k\u00edp \u0111\u00e1nh l\u00f4 \u0111\u1ec1 m\u1edbi th\u00ec ph\u01b0\u01a1ng ph\u00e1p ph\u00e2n t\u00edch c\u1ea7u Pascal v\u1eabn cho th\u1ea5y \u0111\u01b0\u1ee3c s\u1ef1 hi\u1ec7u qu\u1ea3 c\u1ee7a m\u00ecnh.<\/p>\n Soi c\u1ea7u Pascal<\/strong> l\u00e0 m\u1ed9t ph\u01b0\u01a1ng ph\u00e1p b\u1eaft l\u00f4 d\u1ef1a v\u00e0o quy lu\u1eadt c\u1ee7a tam gi\u00e1c Pascal, t\u1eeb \u0111\u00e2y ng\u01b0\u1eddi ch\u01a1i s\u1ebd \u00e1p d\u1ee5ng c\u00f4ng th\u1ee9c c\u1ed9ng 2 s\u1ed1 li\u00ean ti\u1ebfp g\u1ea7n nhau \u0111\u1ec3 t\u1ea1o th\u00e0nh m\u1ed9t d\u00e3y s\u1ed1 m\u1edbi v\u1edbi \u0111\u1ed9 d\u00e0i b\u00e9 h\u01a1n 1 \u0111\u01a1n v\u1ecb cho \u0111\u1ebfn khi ch\u1ec9 c\u00f2n 2 con s\u1ed1 cu\u1ed1i c\u00f9ng v\u00e0 \u0111\u00e2y ch\u00ednh l\u00e0 con b\u1ea1ch th\u1ee7 l\u00f4 c\u1ea7n t\u00ecm.<\/p>\n Con s\u1ed1 b\u1eaft \u0111\u01b0\u1ee3c anh em c\u00f3 th\u1ec3 \u0111\u00e1nh l\u00f3t c\u1eb7p ngay \u1edf k\u1ef3 quay s\u1eafp t\u1edbi ho\u1eb7c \u00e1p d\u1ee5ng ch\u01a1i nu\u00f4i n\u1ebfu con l\u00f4 n\u00e0y c\u00f3 t\u1ea7n su\u1ea5t n\u1ed5 d\u00e0i.<\/p>\n <\/p>\n Kh\u00e1i ni\u1ec7m.<\/p>\n<\/div>\n Tuy r\u1eb1ng c\u00f3 nhi\u1ec1u ph\u01b0\u01a1ng ph\u00e1p ch\u00fang ta kh\u00f4ng th\u1ec3 l\u00fd gi\u1ea3i b\u1eb1ng khoa h\u1ecdc \u0111\u01b0\u1ee3c v\u00e0 c\u0169ng c\u00f3 nhi\u1ec1u t\u00e2n th\u1ee7 m\u1edbi v\u00e0o ngh\u1ec1 th\u01b0\u1eddng hay h\u1ecfi t\u00f4i r\u1eb1ng t\u1ea1i sao l\u1ea1i \u00e1p d\u1ee5ng c\u00f4ng th\u1ee9c nh\u01b0 v\u1eady m\u00e0 kh\u00f4ng ph\u1ea3i l\u00e0 c\u00f4ng th\u1ee9c kh\u00e1c?<\/p>\n Qu\u1ea3 th\u1eadt ch\u00fang ta c\u00f3 r\u1ea5t nhi\u1ec1u c\u00e1ch \u0111\u00e1nh kh\u00e1c nhau nh\u01b0ng kh\u00f4ng ph\u1ea3i c\u00e1ch \u0111\u00e1nh n\u00e0o c\u0169ng \u0111\u01b0\u1ee3c c\u00e1c anh em bi\u1ebft v\u00e0 \u00e1p d\u1ee5ng nhi\u1ec1u \u0111\u1ebfn nh\u01b0 v\u1eady. B\u00ed k\u00edp n\u00e0y ph\u1ea3i ch\u1ee9ng minh \u0111\u01b0\u1ee3c t\u00ednh hi\u1ec7u qu\u1ea3 c\u1ee7a n\u00f3 trong th\u1ef1c chi\u1ebfn th\u00ec m\u1edbi \u0111\u01b0\u1ee3c c\u00e1c \u0111\u1ed3ng m\u00f4n tai truy\u1ec1n tai nhau cho \u0111\u1ebfn th\u1eddi \u0111i\u1ec3m hi\u1ec7n t\u1ea1i.<\/p>\n M\u1ed9t v\u00e0i \u0111i\u1ec3m m\u1ea1nh c\u1ee7a ph\u01b0\u01a1ng ph\u00e1p n\u00e0y:<\/p>\n D\u01b0\u1edbi \u0111\u00e2y l\u00e0 m\u1ed9t s\u1ed1 c\u00e1ch \u0111\u00e1nh m\u00e0 c\u00e1c anh em l\u00f4 th\u1ee7 th\u01b0\u1eddng xuy\u00ean \u00e1p d\u1ee5ng . V\u00e0 \u0111\u00e3 g\u1eb7t h\u00e1i \u0111\u01b0\u1ee3c kh\u00e1 nhi\u1ec1u th\u00e0nh c\u00f4ng, m\u1eddi anh em tham kh\u1ea3o.<\/p>\n Nhi\u1ec1u anh em \u0111\u1ecdc s\u01a1 qua th\u00ec s\u1ebd r\u1ea5t kh\u00f3 hi\u1ec3u. Ch\u00ednh v\u00ec th\u1ebf t\u00f4i xin t\u00f3m t\u1eaft l\u1ea1i quy tr\u00ecnh n\u00e0y cho anh em d\u1ec5 hi\u1ec3u.<\/p>\n V\u00ed d\u1ee5: B\u1ea3ng k\u1ebft qu\u1ea3 x\u1ed5 s\u1ed1 ng\u00e0y h\u00f4m nay c\u00f3 gi\u1ea3i \u0111\u1eb7c bi\u1ec7t l\u00e0 ABCDE v\u00e0 gi\u1ea3i nh\u1ea5t l\u00e0 FGHIK => Gh\u00e9p l\u1ea1i th\u00e0nh d\u00e3y s\u1ed1 ABCDEFGHIK.<\/p>\n Anh em s\u1ebd l\u1ea5y s\u1ed1 th\u1ee9 1 + s\u1ed1 th\u1ee9 2 => A + B = T, n\u1ebfu:<\/p>\n C\u1ee9 th\u1ebf, anh em ti\u1ebfp t\u1ee5c l\u1ea5y c\u00e1c v\u1ecb tr\u00ed B + C \u0111\u1ec3 ch\u1ecdn 1 con s\u1ed1 gh\u00e9p v\u00e0o v\u1ecb tr\u00ed th\u1ee9 2. C + D \u0111\u1ec3 ch\u1ecdn 1 con s\u1ed1 gh\u00e9p v\u00e0o v\u1ecb tr\u00ed th\u1ee9 3,\u2026. Cho \u0111\u1ebfn khi ch\u1ec9 c\u00f2n 2 con s\u1ed1 sau c\u00f9ng v\u00e0 \u0111\u00f3 l\u00e0 con b\u1ea1ch th\u1ee7 l\u00f4 m\u00e0 anh em c\u1ea7n t\u00ecm ki\u1ebfm.<\/p>\n T\u00f4i s\u1ebd v\u00ed d\u1ee5 v\u00e0o tr\u01b0\u1eddng h\u1ee3p th\u1ef1c t\u1ebf nh\u01b0 sau: Gi\u1ea3i \u0111\u1eb7c bi\u1ec7t x\u1ed5 12345 v\u00e0 gi\u1ea3i nh\u1ea5t x\u1ed5 45678 . Gh\u00e9p l\u1ea1i th\u00e0nh 12345<\/span>45678<\/span>, \u00e1p d\u1ee5ng c\u00f4ng th\u1ee9c nh\u01b0 tr\u00ean, anh em s\u1ebd c\u00f3:<\/p>\n D\u00e3y s\u1ed1 h\u00e0ng th\u1ee9 2 s\u1ebd l\u00e0 357999135, c\u1ee9 th\u1ebf \u00e1p d\u1ee5ng theo c\u00f4ng th\u1ee9c . Th\u00ec anh em s\u1ebd t\u00ednh ra \u0111\u01b0\u1ee3c th\u00eam 6 d\u00e3y s\u1ed1 n\u1eefa l\u00e0:<\/p>\n 82688048 Con b\u1ea1ch th\u1ee7 80 n\u00e0y anh em c\u00f3 th\u1ec3 \u0111\u00e1nh 080 \u1edf k\u1ef3 quay s\u1eafp t\u1edbi . N\u1ebfu c\u00e1c h\u1ec7 th\u1ed1ng m\u00e1y t\u00ednh ph\u00e2n t\u00edch r\u1eb1ng con n\u00e0y c\u00f3 t\u1ef7 l\u1ec7 n\u1ed5 cao trong h\u00f4m nay. N\u1ebfu ch\u01b0a \u0111\u1ebfn chu k\u1ef3 n\u1ed5, anh em c\u00f3 th\u1ec3 c\u00e2n nh\u1eafc \u0111\u1ea7u t\u01b0 nu\u00f4i s\u1ebd c\u00f3 t\u1ef7 l\u1ec7 th\u00e0nh c\u00f4ng c\u1ef1c l\u1edbn.<\/p>\n <\/p>\n Ng\u00e0y 21 ch\u1ed1t v\u00e0 nu\u00f4i \u0111\u1ebfn ng\u00e0y 23\/10 \u0111\u00e3 \u0103n \u0111\u01b0\u1ee3c con l\u00f4 10.<\/p>\n<\/div>\n T\u01b0\u01a1ng t\u1ef1 nh\u01b0 c\u00f4ng th\u1ee9c ph\u00eda tr\u00ean, tuy nhi\u00ean c\u00e1ch n\u00e0y ch\u1ec9 kh\u00e1c \u1edf \u0111i\u1ec3m. L\u00e0 ch\u00fang ta s\u1ebd d\u00f9ng m\u1ed9t v\u1ecb tr\u00ed kh\u00e1c \u0111\u1ec3 gh\u00e9p l\u1ea1i th\u00e0nh m\u1ed9t d\u00e3y s\u1ed1 m\u1edbi.<\/p>\n D\u1ef1a v\u00e0o b\u1ea3ng k\u1ebft qu\u1ea3 x\u1ed5 s\u1ed1 c\u1ee7a ng\u00e0y h\u00f4m qua ABCDE . V\u00e0 ng\u00e0y h\u00f4m nay FGHIK \u1edf c\u00f9ng 1 v\u1ecb tr\u00ed gi\u1ea3i \u0111\u00e3 n\u1ed5, anh em gh\u00e9p l\u1ea1i t\u1ea1o th\u00e0nh ABCDEFGHIK. Sau \u0111\u00f3 c\u1ee9 \u00e1p d\u1ee5ng nh\u01b0 c\u00f4ng th\u1ee9c \u1edf ph\u1ea7n a \u0111\u00e3 h\u01b0\u1edbng d\u1eabn \u0111\u1ec3 t\u00ecm ra con b\u1ea1ch th\u1ee7 sau c\u00f9ng.<\/p>\n M\u1eb7c d\u00f9 ph\u01b0\u01a1ng ph\u00e1p soi c\u1ea7u Pascal<\/strong> \u0111\u00e3 \u0111\u01b0\u1ee3c ch\u1ee9ng minh . V\u1ec1 t\u00ednh hi\u1ec7u qu\u1ea3 trong gi\u1edbi l\u00f4 \u0111\u1ec1 h\u1ecdc trong su\u1ed1t nhi\u1ec1u n\u0103m qua nh\u01b0ng t\u00f4i v\u1eabn khuy\u00ean anh em . N\u00ean c\u00e2n nh\u1eafc k\u1ef9 tr\u01b0\u1edbc khi \u0111\u1ea7u t\u01b0 d\u00f9 l\u00e0 l\u0129nh v\u1ef1c n\u00e0o.<\/p>\n T\u1ea5t c\u1ea3 nh\u1eefng ph\u01b0\u01a1ng ph\u00e1p v\u00e0 c\u00f4ng c\u1ee5 ch\u1ec9 l\u00e0 ph\u01b0\u01a1ng ti\u1ec7n h\u1ed7 tr\u1ee3. C\u00e1i ch\u00ednh v\u1eabn l\u00e0 kinh nghi\u1ec7m c\u1ee7a ch\u00ednh b\u1ea3n th\u00e2n anh em. \u0110\u1eebng \u00e1p d\u1ee5ng qu\u00e1 m\u00e1y m\u00f3c v\u00ec ch\u1eafc ch\u1eafn r\u1eb1ng ch\u00fang s\u1ebd kh\u00f4ng th\u1ec3 mang l\u1ea1i \u0111\u01b0\u1ee3c k\u1ebft qu\u1ea3 nh\u01b0 anh em mong \u0111\u1ee3i \u0111\u00e2u.<\/p>\n<\/article>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n\n\n <\/p>\n\r\n Soi c\u1ea7u Pascal: Ph\u01b0\u01a1ng ph\u00e1p ch\u1ed1t s\u1ed1 \u201ctr\u0103m ph\u00e1t tr\u0103m tr\u00fang\u201d<\/p>\n","protected":false},"author":1,"featured_media":17872,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[347],"tags":[667,664,670,663,665,669,666,668],"yoast_head":"\nSoi c\u1ea7u Pascal l\u00e0 g\u00ec?<\/h2>\n
![\"soi](\"\/wp-content\/uploads\/2024\/08\/soi-cau-pascal.jpg\" "\\"soi-cau-pascal\\"")
\u01afu \u0111i\u1ec3m c\u1ee7a ph\u01b0\u01a1ng ph\u00e1p soi c\u1ea7u Pascal<\/h2>\n
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H\u01b0\u1edbng d\u1eabn \u00e1p d\u1ee5ng thu\u1eadt to\u00e1n Pascal trong soi c\u1ea7u<\/h2>\n
a. D\u1ef1a v\u00e0o d\u1eef li\u1ec7u t\u1eeb gi\u1ea3i nh\u1ea5t v\u00e0 gi\u1ea3i \u0111\u1eb7c bi\u1ec7t<\/h3>\n
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0846842
82046
0240
264
80<\/span><\/strong><\/p>\n![\"Soi](\"\/wp-content\/uploads\/2024\/08\/soi-cau-pascal-la-gi.jpg\" "\\"soi-cau-pascal-la-gi\\"")
b. D\u1ef1a v\u00e0o 1 v\u1ecb tr\u00ed gi\u1ea3i \u1edf 2 k\u1ef3 quay li\u00ean ti\u1ebfp<\/h3>\n
L\u1eddi k\u1ebft<\/h2>\n
![\"\"](\"\/wp-content\/uploads\/2024\/09\/icon_new.gif\"){kind=icon}
k\u1ebft qu\u1ea3 xsmb si\u00eau vip<\/span><\/h3>\r\n![\"\"](\"\/wp-content\/uploads\/2024\/09\/766408_48a1055b4af8448c93f566887a08a668-mv2.gif\")
c\u1ea7u k\u1ebft qu\u1ea3 b\u1ea1ch th\u1ee7 l\u00f4 mb si\u00eau v\u00edp<\/strong><\/a>\r\n\r\n c\u1ea7u k\u1ebft qu\u1ea3 b\u1ea1ch th\u1ee7 l\u00f4 2 nh\u00e1y mb si\u00eau v\u00edp<\/strong><\/a>\r\n\r\n c\u1ea7u k\u1ebft qu\u1ea3 song th\u1ee7 l\u00f4 mb si\u00eau v\u00edp<\/strong><\/a>\r\n\r\n c\u1ea7u k\u1ebft qu\u1ea3 b\u1ea1ch th\u1ee7 l\u00f4 k\u00e9p mb si\u00eau v\u00edp<\/strong><\/a>\r\n\r\n c\u1ea7u k\u1ebft qu\u1ea3 song th\u1ee7 l\u00f4 k\u00e9p mb si\u00eau v\u00edp<\/strong><\/a>\r\n\r\n c\u1ea7u k\u1ebft qu\u1ea3 b\u1ea1ch th\u1ee7 \u0111\u1ec1 mb si\u00eau v\u00edp<\/strong><\/a>\r\n\r\n c\u1ea7u k\u1ebft qu\u1ea3 song th\u1ee7 \u0111\u1ec1 mb si\u00eau v\u00edp<\/strong><\/a>\r\n\r\n c\u1ea7u k\u1ebft qu\u1ea3 d\u00e0n \u0111\u1ec1 4 s\u1ed1 mb si\u00eau v\u00edp<\/strong><\/a>\r\n\r\n c\u1ea7u k\u1ebft qu\u1ea3 d\u00e0n \u0111\u1ec1 6 s\u1ed1 mb si\u00eau v\u00edp<\/strong><\/a>\r\n\r\n c\u1ea7u k\u1ebft qu\u1ea3 d\u00e0n \u0111\u1ec1 8 s\u1ed1 mb si\u00eau v\u00edp<\/strong><\/a>\r\n\r\n c\u1ea7u k\u1ebft qu\u1ea3 d\u00e0n \u0111\u1ec1 10 s\u1ed1 mb si\u00eau v\u00edp<\/strong><\/a>\r\n\r\n c\u1ea7u k\u1ebft qu\u1ea3 d\u00e0n l\u00f4 4 s\u1ed1 mb si\u00eau v\u00edp<\/strong><\/a>\r\n<\/pre>\r\n
k\u1ebft qu\u1ea3 xsmb si\u00eau chu\u1ea9n<\/span><\/h3>\r\n![\"\"](\"\/wp-content\/uploads\/2024\/09\/87b16606d8f6c6015210f280941a9479-150x150.png\")
c\u1ea7u k\u1ebft qu\u1ea3 d\u00e0n l\u00f4 6 s\u1ed1 mb si\u00eau v\u00edp<\/strong><\/a>\r\n\r\n c\u1ea7u k\u1ebft qu\u1ea3 d\u00e0n l\u00f4 8 s\u1ed1 mb si\u00eau v\u00edp<\/strong><\/a>\r\n\r\n c\u1ea7u k\u1ebft qu\u1ea3 d\u00e0n l\u00f4 xi\u00ean 2 mb si\u00eau v\u00edp<\/strong><\/a>\r\n\r\n c\u1ea7u k\u1ebft qu\u1ea3 d\u00e0n l\u00f4 xi\u00ean 3 mb si\u00eau v\u00edp<\/strong><\/a>\r\n\r\n c\u1ea7u k\u1ebft qu\u1ea3 d\u00e0n l\u00f4 xi\u00ean 4 mb si\u00eau v\u00edp<\/strong><\/a>\r\n\r\n c\u1ea7u k\u1ebft qu\u1ea3 3 c\u00e0ng mb si\u00eau v\u00edp<\/strong><\/a>\r\n\r\n c\u1ea7u k\u1ebft qu\u1ea3 d\u00e0n 3 c\u00e0ng 2 s\u1ed1 mb si\u00eau v\u00edp<\/strong><\/a>\r\n\r\n c\u1ea7u k\u1ebft qu\u1ea3 d\u00e0n l\u00f4 10 s\u1ed1 mb si\u00eau v\u00edp<\/strong><\/a>\r\n\r\n c\u1ea7u k\u1ebft qu\u1ea3 \u0111\u1ec1 \u0111\u1ea7u \u0111u\u00f4i mb si\u00eau v\u00edp<\/strong><\/a>\r\n<\/pre>\r\n
k\u1ebft qu\u1ea3 xsmn si\u00eau v\u00edp<\/span><\/h3>\r\n![\"\"](\"\/wp-content\/uploads\/2024\/09\/kro1321605182.gif\")
c\u1ea7u k\u1ebft qu\u1ea3 x\u1ec9u ch\u1ee7 mn si\u00eau v\u00edp<\/strong><\/a>\r\n\r\n c\u1ea7u k\u1ebft qu\u1ea3 gi\u1ea3i \u0111\u1eb7c bi\u1ec7t mn si\u00eau v\u00edp<\/strong><\/a>\r\n\r\n c\u1ea7u k\u1ebft qu\u1ea3 gi\u1ea3i 8 mn si\u00eau v\u00edp<\/strong><\/a>\r\n\r\n c\u1ea7u k\u1ebft qu\u1ea3 bao l\u00f4 mn si\u00eau v\u00edp<\/a><\/strong>\r\n\r\n c\u1ea7u k\u1ebft qu\u1ea3 c\u1eb7p x\u1ec9u ch\u1ee7 mn si\u00eau v\u00edp<\/strong><\/a>\r\n\r\n c\u1ea7u k\u1ebft qu\u1ea3 song th\u1ee7 l\u00f4 mn si\u00eau v\u00edp<\/strong><\/a>\r\n\r\n c\u1ea7u k\u1ebft qu\u1ea3 \u0111\u1ea7u \u0111u\u00f4i gi\u1ea3i 8 mn si\u00eau v\u00edp<\/strong><\/a>\r\n\r\n c\u1ea7u k\u1ebft qu\u1ea3 \u0111\u1ea7u \u0111u\u00f4i \u0111\u1eb7c bi\u1ec7t mn si\u00eau v\u00edp<\/strong><\/a>\r\n\r\n c\u1ea7u k\u1ebft qu\u1ea3 l\u00f4 3 s\u1ed1 mn si\u00eau v\u00edp<\/strong><\/a>\r\n<\/pre>\r\n
k\u1ebft qu\u1ea3 xsmt chu\u1ea9n x\u00e1c<\/span><\/h3>\r\n c\u1ea7u k\u1ebft qu\u1ea3 x\u1ec9u ch\u1ee7 mt si\u00eau v\u00edp<\/strong><\/a>\r\n\r\n c\u1ea7u k\u1ebft qu\u1ea3 gi\u1ea3i \u0111\u1eb7c bi\u1ec7t mt si\u00eau v\u00edp<\/strong><\/a>\r\n\r\n c\u1ea7u k\u1ebft qu\u1ea3 gi\u1ea3i 8 mt si\u00eau v\u00edp<\/strong><\/a>\r\n\r\n c\u1ea7u k\u1ebft qu\u1ea3 bao l\u00f4 mt si\u00eau v\u00edp<\/strong><\/a>\r\n\r\n c\u1ea7u k\u1ebft qu\u1ea3 c\u1eb7p x\u1ec9u ch\u1ee7 mt si\u00eau v\u00edp<\/strong><\/a>\r\n\r\n c\u1ea7u k\u1ebft qu\u1ea3 song th\u1ee7 l\u00f4 mt si\u00eau v\u00edp<\/strong><\/a>\r\n\r\n c\u1ea7u k\u1ebft qu\u1ea3 \u0111\u1ea7u \u0111u\u00f4i gi\u1ea3i 8 mt si\u00eau v\u00edp<\/strong><\/a>\r\n\r\n c\u1ea7u k\u1ebft qu\u1ea3 \u0111\u1ea7u \u0111u\u00f4i \u0111\u1eb7c bi\u1ec7t mt si\u00eau v\u00edp<\/strong><\/a>\r\n\r\n c\u1ea7u k\u1ebft qu\u1ea3 l\u00f4 3 s\u1ed1 mt si\u00eau v\u00edp<\/strong><\/a>\r\n<\/pre>\r\n\r\n","protected":false},"excerpt":{"rendered":"