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Kü thuËt lËp tr× nh 1
CH¦¥NG i §¹I C¦¥NG VÒ LËP TR×NH
I. Kh¸i niÖm thuËt to¸n:
I.1. Kh¸i niÖ m:
ThuË t to¸ n lµ tË p hîp c¸ c quy t¾ c cã logic nh» m gi¶ i mét líp bµ i to¸ n nµo
®ã ®Ó ®!îc mét kÕ t qu¶ x¸ c ®Þnh.
I.2. C¸c tÝ nh chÊt ®Æc tr!ng cña thuËt to¸n :
I.2.1. TÝ nh tæng qu¸t :
ThuË t to¸ n ®!îc lË p kh«ng ph¶ i chØ ®Ó gi¶ i mét bµ i to¸ n cô thÓ mµ th«i mµ
cßn ph¶ i gi¶ i ®!îc mét líp c¸ c bµ i to¸ n cã d¹ ng t!¬ng tù.
I.2.2. TÝ nh giíi h¹n :
ThuË t to¸ n gi¶ i mét bµ i to¸ n ph¶ i ®!îc thùc hiÖ n qua mét sè giíi h¹ n c¸c
thao t¸ c ®Ó ®¹ t ®Õ n kÕ t qu¶ .
I.2.3. TÝ nh duy nhÊt :
Toµ n bé qu¸ tr× nh biÕ n ®æi, còng nh! trË t tù thùc hiÖ n ph¶ i ®!îc x¸c ®Þnh
vµ lµ duy nhÊ t. Nh! vË y khi dïng thuË t to¸ n cïng mét d÷ liÖ u ban ®Ç u ph¶ i cho
cïng mét kÕ t qu¶ .
I.3. Ph©n lo¹i:
Theo cÊ u tróc, ta cã thÓ ph© n thµ nh ba lo¹ i thuË t to¸ n c¬ b¶ n sau :
- ThuË t to¸ n kh«ng ph© n nh¸ nh.
- ThuË t to¸ n cã ph© n nh¸ nh.
- ThuË t to¸ n theo chu tr× nh cã b!íc lÆ p x¸ c ®Þnh vµ cã b!íc lÆ p kh«ng
x¸ c ®Þnh.
II. M« t¶ thuËt to¸n b»ng l!u ®å :
II.1. L!u ®å :
L!u ®å lµ mét d¹ ng ®å thÞ dïng ®Ó m« t¶ qu¸ tr× nh tÝ nh to¸ n mét c¸ ch cã
hÖ thèng. Ng!êi ta th!êng thÓ hiÖ n thuË t to¸ n b» ng l!u ®å.
II.2. C¸c ký hiÖu trªn l!u ®å :
Tª n khèi Ký hiÖ u ý nghÜ a
Khèi më ®Ç u hoÆ c kÕ t
thóc Dïng më ®Ç u hoÆ c kÕ t
thóc ch!¬ng tr× nh
Khèi vµ o ra
§!a sè liÖ u vµ o hoÆ c in
kÕ t qu¶