Sudan function: Difference between revisions
added AWK
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Catskill549 (talk | contribs) (added AWK) |
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F(3, 1, 1) = 10228
F(2, 2, 1) = 27
</pre>
=={{header|AWK}}==
<lang AWK>
# syntax: GAWK -f SUDAN_FUNCTION.AWK
BEGIN {
for (n=0; n<=1; n++) {
printf("sudan(%d,x,y)\n",n)
printf("y/x 0 1 2 3 4 5\n")
printf("%s\n",strdup("-",28))
for (y=0; y<=6; y++) {
printf("%2d | ",y)
for (x=0; x<=5; x++) {
printf("%3d ",sudan(n,x,y))
}
printf("\n")
}
printf("\n")
}
n=1; x=3; y=3; printf("sudan(%d,%d,%d)=%d\n",n,x,y,sudan(n,x,y))
n=2; x=1; y=1; printf("sudan(%d,%d,%d)=%d\n",n,x,y,sudan(n,x,y))
n=2; x=2; y=1; printf("sudan(%d,%d,%d)=%d\n",n,x,y,sudan(n,x,y))
n=3; x=1; y=1; printf("sudan(%d,%d,%d)=%d\n",n,x,y,sudan(n,x,y))
exit(0)
}
function sudan(n,x,y) {
if (n == 0) { return(x+y) }
if (y == 0) { return(x) }
return sudan(n-1, sudan(n,x,y-1), sudan(n,x,y-1)+y)
}
function strdup(str,n, i,new_str) {
for (i=1; i<=n; i++) {
new_str = new_str str
}
return(new_str)
}
</lang>
{{out}}
<pre>
sudan(0,x,y)
y/x 0 1 2 3 4 5
----------------------------
0 | 0 1 2 3 4 5
1 | 1 2 3 4 5 6
2 | 2 3 4 5 6 7
3 | 3 4 5 6 7 8
4 | 4 5 6 7 8 9
5 | 5 6 7 8 9 10
6 | 6 7 8 9 10 11
sudan(1,x,y)
y/x 0 1 2 3 4 5
----------------------------
0 | 0 1 2 3 4 5
1 | 1 3 5 7 9 11
2 | 4 8 12 16 20 24
3 | 11 19 27 35 43 51
4 | 26 42 58 74 90 106
5 | 57 89 121 153 185 217
6 | 120 184 248 312 376 440
sudan(1,3,3)=35
sudan(2,1,1)=8
sudan(2,2,1)=27
sudan(3,1,1)=10228
</pre>
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