Question

To figure out the spacing for each line, think about how many characters each line occupies. Then analyze how that character number relates to the row number.

12. filename: pascal.c (use pascal.out to test your solution) The values of the Combinations function used in the text are often displayed in the form of a triangle using the following arrangement: C(0,0) C(1,0) C(1,1) C(2,0) C(2,1) C(2,2) C(3,0) C(3,1) C(3,2) C(3,3) C(4,0) C(4,1) C(4,2) C(4,3) C(4,4) and so on. this figure is called Pascal's Triangle after the seventeenth-century French mathematician Blaise Pascal, who invented it. Pascal's Triangle has the interesting property that every interior entry is the sum of the two entries above it. Write a C program to display the first eight rows of Pascal's Triangle like this: 1 2 1 3 1 4 6 5 10 1 3 1 4 1 10 5 15 6 35 21 1 1 6 7 1 15 20 1 1 21 35 7 1

Answer 1

5./main #include <stdio.h> int main() { int rows = 8; int i, j, ss = rows; 1 1 1 2 1 1 3 3 1 1 4 6 4 1 5 10 10 5 6 15 20 15 7 21 35 35 21 1 for(i = 0; i <rows; ++i, ss--) { // looping 8 times 1 1 6 1 1 7 1 int current = 1, a = i, b = 1; for(j=0; j<ss; j++) // printing spaces printf(" "); for(j = 0; j <= i; ++j, --a, ++b) { // printing each number printf("%3d ", current); current = a; current /= b; printf("\n"); // printing a line return 0;

#include <stdio.h>

int main() {

int rows = 8;

int i, j, ss = rows;

for(i = 0; i < rows; ++i, ss--) { // looping 8 times

int current = 1, a = i, b = 1;

for(j=0; j<ss; j++) // printing spaces

printf(" ");

for(j = 0; j <= i; ++j, --a, ++b) { // printing each number

printf("%3d ", current);

current *= a;

current /= b;

}

printf("\n"); // printing a line

}

return 0;

}

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