Created
January 6, 2012 05:18
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Better C implementation for Pascals Triangle
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/* | |
* Pascal2.c | |
* | |
* Pascals Triangle in C | |
* | |
* See notes below. | |
* To run: | |
gcc -std=c99 pascal2.c -o pascal2 && ./pascal2 10 | |
*/ | |
#include <stdio.h> | |
#include <stdlib.h> | |
long *pascal( int rows ) | |
{ | |
long *line = (long*)malloc(sizeof(long)*rows); | |
line[0]=1; | |
int r,c,p1,p2; | |
for (r=1,p1=1;r<rows;++r) | |
{ | |
for (c=1; c<r; ++c) | |
{ | |
p2=p1; | |
p1=line[c]; | |
line[c]=p2+p1; | |
} | |
line[r]=1; | |
} | |
return line; | |
} | |
int main( int argc, char**argv ) | |
{ | |
if (argc!=2) { | |
printf("usage: pascal2 <n>\n"); | |
exit(1); | |
} | |
int rows = atoi(argv[1]); | |
long *line = pascal(rows); | |
int col; | |
for (col=0; col<rows; ++col) { | |
printf("%ld ",line[col]); | |
} | |
printf("\n"); | |
exit(0); | |
} | |
/* | |
Notes for a better implementation: | |
1 | |
11 | |
121 ... a | |
1331 ... b | |
14641 | |
To update in-situ, just need to save overwritten entry or | |
defer writing until the next column written. | |
ok, after several minutes, we need to save what we need and | |
fifo what we are summing for the next line. | |
p1=before update | |
p2=previous column before update | |
b[0]=1 | |
p1=b[0] | |
i:1->count-2 | |
p2=p1 | |
p1=a[i] | |
b[i]=p2+p1 | |
b[count-1]=1 | |
*/ | |
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