Problem

3 /10


Fungsi - 2*

Problem

Menerangkan fungsi rekursif dengan tiga parameter F(a, b, c):
 
F(a, b, c) = 1 jika a ≤ 0 atau b ≤ 0 atau c≤ 0;
F(a, b, c) = F(20, 20, 20) jika a > 20 atau b > 20 atau c > 20;
F(a, b, c) = F(a, b, c-1) + F(a, b-1, c-1) - F(a, b-1, c), jika a < b dan b < c;
F(a, b, c) = F(a-1, b, c) + F(a-1, b-1, c) + F(a-1, b, c-1 ) - F(a-1, b-1, c-1), dalam semua kes lain.

 
Input
Input mengandungi tiga integer a, b, c - parameter fungsi F (-104 ≤ a,b,c ≤ 104).
 
Output
Sebagai tindak balas, paparkan nilai fungsi F(a, b, c).

 
Contoh

 

time 1000 ms
memory 256 Mb
Rules for program design and list of errors in automatic problem checking

Teacher commentary

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# Input Output
1 1 1 1 2
2 2 2 2 4
3 10 4 6 523
4 50 50 50 1048576