def simplex_number(d, n):
    # 动态规划表
    dp = [[0] * (n + 1) for _ in range(d + 1)]
 
    # 初始化一维简单形数
    for i in range(1, n + 1):
        dp[1][i] = i
 
    # 动态递推
    for dim in range(2, d + 1):
        for num in range(1, n + 1):
            dp[dim][num] = dp[dim][num - 1] + dp[dim - 1][num]
 
    return dp[d][n]
 
# 示例：计算五维的第 4 项
result = simplex_number(5, 4)
print(f"9D 第 9 项：{result}")
 

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