Techniques of Number
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開始行:
[[English Page]]~
[[Elementary Techniques]] | [[Techniques of Function]] | ...
#contents
*Recycle numerical functions [#edf4048e]
**Sample Code 1 [#yf226cd3]
a(X,T):XXa(sX,T-1)XX
a(a(,3)a(r,9)r,1)
**Sample Code 2 [#fcf3eb07]
a(X,T):a(sX,T-1)XX
a(ra(r,6),100)
*IF statement [#i204bb42]
**Sample Code 1[#u01684dc]
a(T):rsrrsr
b(T):a(2-T)b(T-5)
c(T):b(T)sc(T-1)
c(20)
In this code, b(T) equals "rsrrsr" if T≡1 mod 5, and no m...
**Examples [#p8f6fdb5]
-[[Problem 0248]]
-[[Problem 0225]]
*Rational Growth [#o3f31f90]
**Sample Code [#u01684dc]
a(T):sa(T-5)
b(T):a(T)rb(T+7)
b(1)
The speed of growth is "7/5".
**Examples [#p8f6fdb5]
*12B method [#c43b9803]
**Sample Code [#u01684dc]
f(T):sf(T-4)rf(T+7)
f(8)
This code realizes the loop
a:ssrsssrsssrsssra
a
In this loop, the number of "s" equals 4 + 7, and the num...
In generally, the code
f(T):[1]f(T-A)[2]f(T+B)
implies a loop with (A+B) times of "[1]" and B times of "...
**Sample Code 2 [#yf2cc31b]
a(T):sa(T-37)ra(T+83)
a(1)
Since 83/37 approximately equals 9/4, this code is simila...
a(T):sa(T-4)ra(T+9)
a(1)
but the small difference changes the direction of the mov...
Therefore, "square minus square" shape can be drawn by a ...
**Sample Code 3 [#b0833cb0]
f(T):sf(T-15)rf(T+T+63)
f(1)
Some new sequence can be obtained by changing the coeffic...
In this case, the periodic sequence
> 1,[5,5,6,7],[5,5,6,7],[5,5,6,7],...
appears.
**Examples [#p8f6fdb5]
-[[Problem 0599]]
-[[Problem 0996]]
*Random walk by a numerical function [#q769cd56]
**Sample Code [#wa54fc27]
f(T):sf(T-4)rf(T-7)
f(255)
**Examples [#uce7bcab]
Probably, no problems in HOJ requires this method (even f...
*Compress long statement by numbers [#q4fe1726]
**Sample Code 1 [#f075df6b]
a(T,A):ra(T-A,A)
f(T):a(T,64)sa(T,16)sa(T,4)sa(T,1)s
By f(1 to 255), you can make all patterns of four step mo...
**Sample Code 2 [#f4f28421]
a(T,X):X
b(A,B,X):b(A-127,B,s)a(128-A,Xb(A+A,B-1,r))
f(T):b(T,8,r)
All strings of length=8, made of "s" and "r" can be made ...
but for "srrrrrrr" ans "rrrrrrrr".
**Sample Code 3 [#m2a60bf8]
a(T,X):X
b(A,B):lb(A-81,B)a(82-A,llsb(A+A+A,B-1))
f(T):b(T,5)
**Examples [#zd71cd08]
-[[Problem 1507]]
-[[Problem 1508]]
-[[Problem 1509]]
-[[Problem 1510]]
-[[Problem 1511]]
*Truncate a multiple recusion [#k0e6b7d4]
**Sample Code 1 [#c8d3ccff]
f(X,T):rXf(f(sX,T-1),10)
f(,1)
**Sample Code 2 [#vaabab5f]
f(X,T):Xf(rf(sX,T-1),10)
f(,1)
終了行:
[[English Page]]~
[[Elementary Techniques]] | [[Techniques of Function]] | ...
#contents
*Recycle numerical functions [#edf4048e]
**Sample Code 1 [#yf226cd3]
a(X,T):XXa(sX,T-1)XX
a(a(,3)a(r,9)r,1)
**Sample Code 2 [#fcf3eb07]
a(X,T):a(sX,T-1)XX
a(ra(r,6),100)
*IF statement [#i204bb42]
**Sample Code 1[#u01684dc]
a(T):rsrrsr
b(T):a(2-T)b(T-5)
c(T):b(T)sc(T-1)
c(20)
In this code, b(T) equals "rsrrsr" if T≡1 mod 5, and no m...
**Examples [#p8f6fdb5]
-[[Problem 0248]]
-[[Problem 0225]]
*Rational Growth [#o3f31f90]
**Sample Code [#u01684dc]
a(T):sa(T-5)
b(T):a(T)rb(T+7)
b(1)
The speed of growth is "7/5".
**Examples [#p8f6fdb5]
*12B method [#c43b9803]
**Sample Code [#u01684dc]
f(T):sf(T-4)rf(T+7)
f(8)
This code realizes the loop
a:ssrsssrsssrsssra
a
In this loop, the number of "s" equals 4 + 7, and the num...
In generally, the code
f(T):[1]f(T-A)[2]f(T+B)
implies a loop with (A+B) times of "[1]" and B times of "...
**Sample Code 2 [#yf2cc31b]
a(T):sa(T-37)ra(T+83)
a(1)
Since 83/37 approximately equals 9/4, this code is simila...
a(T):sa(T-4)ra(T+9)
a(1)
but the small difference changes the direction of the mov...
Therefore, "square minus square" shape can be drawn by a ...
**Sample Code 3 [#b0833cb0]
f(T):sf(T-15)rf(T+T+63)
f(1)
Some new sequence can be obtained by changing the coeffic...
In this case, the periodic sequence
> 1,[5,5,6,7],[5,5,6,7],[5,5,6,7],...
appears.
**Examples [#p8f6fdb5]
-[[Problem 0599]]
-[[Problem 0996]]
*Random walk by a numerical function [#q769cd56]
**Sample Code [#wa54fc27]
f(T):sf(T-4)rf(T-7)
f(255)
**Examples [#uce7bcab]
Probably, no problems in HOJ requires this method (even f...
*Compress long statement by numbers [#q4fe1726]
**Sample Code 1 [#f075df6b]
a(T,A):ra(T-A,A)
f(T):a(T,64)sa(T,16)sa(T,4)sa(T,1)s
By f(1 to 255), you can make all patterns of four step mo...
**Sample Code 2 [#f4f28421]
a(T,X):X
b(A,B,X):b(A-127,B,s)a(128-A,Xb(A+A,B-1,r))
f(T):b(T,8,r)
All strings of length=8, made of "s" and "r" can be made ...
but for "srrrrrrr" ans "rrrrrrrr".
**Sample Code 3 [#m2a60bf8]
a(T,X):X
b(A,B):lb(A-81,B)a(82-A,llsb(A+A+A,B-1))
f(T):b(T,5)
**Examples [#zd71cd08]
-[[Problem 1507]]
-[[Problem 1508]]
-[[Problem 1509]]
-[[Problem 1510]]
-[[Problem 1511]]
*Truncate a multiple recusion [#k0e6b7d4]
**Sample Code 1 [#c8d3ccff]
f(X,T):rXf(f(sX,T-1),10)
f(,1)
**Sample Code 2 [#vaabab5f]
f(X,T):Xf(rf(sX,T-1),10)
f(,1)
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