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Freud's triangle is a right triangle array of natural numbers used in computer science education. It is named after Robert Floyd. It is defined by filling the rows of the triangle with consecutive numbers, starting with 1 in the upper left corner
1 15 14 13 12 11 2 3 10 9 8 7 4 5 6 6 5 4 7 8 9 10 3 2 11 12 13 14 15 1 <strong>Floyd's Triangle </strong><strong>Reverse of Floyd's Triangle</strong>
Print Freud's triangle:
Accept the number of rows to print the Floyd’s Triangle Print value 1 for the Row 1 Print two values 2 and 3 in the next row Print three values 4, 5 and 6 in the next row Repeat till the number of rows specified
To print out the inverse of Freud’s triangle - the Chinese translation of
Accept the number of rows to print the reverse of Floyd’s Triangle Print the values in the reverse order as specified in the reverse of Floyd’s Triangle
/*Program to print the Reverse of Floyd's Triangle*/ #include<stdio.h> int main() { int r,c=1; int rows,revrows,r1,c1,d; clrscr(); printf("Enter number of rows to print the Floyd's Triangle: "); scanf("%d", &rows); printf("</p><p>"); for (r=1;r<=(rows*(rows+1))/2;r++){ printf("%d ",r); if(r==(c*(c+1))/2){ printf("</p><p>"); c++; } } printf("</p><p></p><p>"); /*Printing the Reverse of Floyd's Triangle*/ printf("Enter number of rows to print the reverse of Floyd's Triangle: "); scanf("%d",&revrows); printf("</p><p></p><p>"); printf("Reverse of Floyd's Triangle</p><p>"); printf("</p><p></p><p>"); d = (revrows*(revrows+1))/2; for(r1=revrows;r1>=1;r1--){ for(c1=r1;c1>=1;c1--,d--){ printf("%4d", d); } printf("</p><p>"); } getch(); return 0; }
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