Pascal triangle (杨辉三角)制表符
2015-12-16 00:17
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Description:
By using two-dimensional array, write C program to display a table that represents a Pascal triangle of any size. In Pascal triangle, the first and the second rows are set to 1. Each element of the triangle (from the third row downward) is the sum of the element directly above it and the element to the left of the element directly above it. See the example Pascal triangle(size=5) below:
1
1 1
1 2 1
1 3 3 1
1 4 6 4 1
By using two-dimensional array, write C program to display a table that represents a Pascal triangle of any size. In Pascal triangle, the first and the second rows are set to 1. Each element of the triangle (from the third row downward) is the sum of the element directly above it and the element to the left of the element directly above it. See the example Pascal triangle(size=5) below:
1
1 1
1 2 1
1 3 3 1
1 4 6 4 1
#include<stdio.h> int a[101][101] = {0}; // 先初始化数组全为0 void printPascalTr(int size) { printf("1\t\n"); // 先打印第一行的1,不然会少一行超惨 a[1][1] = 1; // 初始已知第一行第一列是1 int i, j; // 下面用两个for循环打表,外层控制行,内层控制列 for (i = 2; i <= size; i++) { for (j = 1; j <= i; j++) { a[i][j] = a[i - 1][j] + a[i - 1][j - 1]; // 这个数是它左上方和头顶的和 printf("%d\t", a[i][j]); } printf("\n"); // 注意一行打完之后换行 } } int main() { int size; printf("Enter Pascal triangle size:"); scanf("%d", &size); printPascalTr(size); getchar(); return 0; }
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