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[ACM-ICPC] Top-down & Bottom-up
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[ACM-ICPC] Top-down & Bottom-up
1.
Top-down & Bottom-up
郭至軒(KuoE0) KuoE0.tw@gmail.com KuoE0.ch
2.
Attribution-ShareAlike 3.0 Unported
(CC BY-SA 3.0) http://creativecommons.org/licenses/by-sa/3.0/ Latest update: Feb 27, 2013
3.
Top-down 將大問題化為小問題,再回溯求解。
4.
Top-down 將大問題化為小問題,再回溯求解。
5.
Top-down 將大問題化為小問題,再回溯求解。
6.
Bottom-up 由已知解決小問題,逐步推移至大問題。
7.
Bottom-up 由已知解決小問題,逐步推移至大問題。
8.
Recursion 利用同樣的方法不斷的細分問題或
近答案。 易有太極,是生兩儀。兩儀生四象,四象生八卦。《易傳》
9.
Fibonacci Sequence fib(5)
10.
Fibonacci Sequence fib(5) fib(4)
fib(3)
11.
Fibonacci Sequence fib(5) fib(4)
fib(3) fib(3) fib(2)
12.
Fibonacci Sequence fib(5) fib(4)
fib(3) fib(3) fib(2) fib(2) fib(1)
13.
Fibonacci Sequence fib(5) fib(4)
fib(3) fib(3) fib(2) fib(2) fib(1) fib(1) fib(0)
14.
Fibonacci Sequence fib(5) fib(4)
fib(3) fib(3) fib(2) fib(2) 1 fib(1) fib(1) 1 fib(0) 0
15.
Fibonacci Sequence fib(5) fib(4)
fib(3) fib(3) 2 fib(2) fib(2) 1 fib(1) 1 fib(1) 1 fib(0) 0
16.
Fibonacci Sequence fib(5) fib(4)
fib(3) fib(3) 2 fib(2) fib(2) 1 fib(1) 1 fib(1) fib(0) fib(1) 1 fib(0) 0
17.
Fibonacci Sequence fib(5) fib(4) 3
fib(3) fib(3) 2 fib(2) 1 fib(2) 1 fib(1) 1 fib(1) 1 fib(0) 0 fib(1) 1 fib(0) 0
18.
Fibonacci Sequence fib(5) fib(4) 3
fib(3) fib(3) 2 fib(2) 1 fib(2) fib(1) fib(2) 1 fib(1) 1 fib(1) 1 fib(0) 0 fib(1) 1 fib(0) 0
19.
Fibonacci Sequence fib(5) fib(4) 3
fib(3) fib(3) 2 fib(2) 1 fib(2) fib(1) fib(2) 1 fib(1) 1 fib(1) 1 fib(0) 0 fib(1) fib(0) fib(1) 1 fib(0) 0
20.
Fibonacci Sequence fib(5) fib(4) 3
fib(3) fib(3) 2 fib(2) 1 fib(2) 1 fib(1) fib(2) 1 fib(1) 1 fib(1) 1 fib(0) 0 fib(1) 1 fib(0) 0 fib(1) 1 fib(0) 0
21.
Fibonacci Sequence fib(5) 5 fib(4)
3 fib(3) 2 fib(3) 2 fib(2) 1 fib(2) 1 fib(1) 1 fib(2) 1 fib(1) 1 fib(1) 1 fib(0) 0 fib(1) 1 fib(0) 0 fib(1) 1 fib(0) 0
22.
int fib( int
x ) { if ( x <= 0 ) return 0; if ( x == 1 ) return 1; return fib( x - 1 ) + fib( x - 2 ); } int main() { int ret = fib( 10 ); return 0; }
23.
Iteration 不斷的利用已知,持續的求出結果以
近答案。 道生一,一生二,二生三,三生萬物。《老子》
24.
Fibonacci Sequence
0 1
25.
Fibonacci Sequence
0 1 1
26.
Fibonacci Sequence
0 1 1 2
27.
Fibonacci Sequence
0 1 3 1 2
28.
Fibonacci Sequence
0 1 3 1 2 5
29.
int main() {
int f0 = 0, f1 = 1, f2; for ( int i = 0; i < 10; ++i ) { f2 = f0 + f1; f0 = f1, f1 = f2; } return 0; }
30.
遞迴只應天上有,凡人應當用迴圈。
31.
Practice Now POJ
1664 - 放苹果
32.
reference • http://www.csie.ntnu.edu.tw/~u91029/
IterativeRecursive.html
33.
Thank You for
Your Listening.
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