关于Pythagorean三元组的C程序-错误的输出

#include <stdio.h>

int main() {
    int a, b, c, limit;
    printf("请输入一个正整数作为上限：");
    scanf("%d", &limit);

    printf("在范围[1, %d]内的Pythagorean三元组为：\n", limit);
    for (a = 1; a <= limit; a++) {
        for (b = a; b <= limit; b++) {
            for (c = b; c <= limit; c++) {
                if (a * a + b * b == c * c) {
                    printf("(%d, %d, %d)\n", a, b, c);
                }
            }
        }
    }

    return 0;
}

#include <stdio.h>

int main() {
    int a, b, c, limit;
    printf("请输入一个正整数作为上限：");
    scanf("%d", &limit);

    printf("在范围[1, %d]内的Pythagorean三元组为：\n", limit);
    for (a = 1; a <= limit; a++) {
        for (b = a + 1; b <= limit; b++) {
            for (c = b; c <= limit; c++) {
                if (a * a + b * b == c * c) {
                    printf("(%d, %d, %d)\n", a, b, c);
                }
            }
        }
    }

    return 0;
}