📄 wex10_10.cpp
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#include <iostream.h>
#include <iomanip.h>
#pragma hdrstop
// print Pascal's triangle for n
void PascalTriangle(int n)
{
// use the two dimensional array C to hold the triangle
int C[11][11];
int i,j;
// we only print the triangle for n <= 10
if (n > 10)
{
cout << "n is limited to the range 1 to 10" << endl;
return;
}
// build each row of the triangle in C, printing
// each element as it is determined
for(i=0;i < n+1;i++)
{
// build row i. the entries stop at the diagonal
for(j=0;j <= i;j++)
{
// all the entries in column 0 are 1
if (j == 0)
C[i][j] = 1;
// all entries on the diagonal are 1
else if (j == i)
C[i][j] = 1;
else
// all other entries are the sum of those in
// the row above in the same column and the
// column to the left
C[i][j] = C[i-1][j-1] + C[i-1][j];
// output the entry we just computed
cout << setw(5) << C[i][j];
}
cout << endl;
}
}
void main(void)
{
// print Pascal's triangle for n = 10
PascalTriangle(10);
}
/*
<Run>
1
1 1
1 2 1
1 3 3 1
1 4 6 4 1
1 5 10 10 5 1
1 6 15 20 15 6 1
1 7 21 35 35 21 7 1
1 8 28 56 70 56 28 8 1
1 9 36 84 126 126 84 36 9 1
1 10 45 120 210 252 210 120 45 10 1
*/
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