SymPy | Python中的 Partition.RGS_enum()

Partition.RGS_enum() ：RGS_enum()是一个 sympy Python库函数，它计算限制增长字符串的总数（字符串，其中 a[i] 是元素 i 出现的块） ，这对于大小为 n 的超集是可能的。

限制增长的字符串——字符串中的每个字符, a _i导致对应元素所属的块 (B _i )。

Syntax : sympy.combinatorics.partitions.Partition.RGS_enum()

Return : total number of restricted growth strings, possible for a superset of size n.

代码 #1：RGS_enum() 示例

# Python code explaining
# SymPy.RGS_enum()
  
# importing SymPy libraries
from sympy.combinatorics.partitions import Partition
from sympy.combinatorics.partitions import RGS_enum
  
# Using from sympy.combinatorics.partitions.Partition.RGS_enum() method 
p = RGS_enum(4)
  
q = RGS_enum(9)
  
print ("no. of strings possible for size  4: ", p)
print ("no. of strings possible for size  9: ", q)

输出 ：

no. of strings possible for size 4: 15
no. of strings possible for size 9: 203

代码 #2：RGS_enum() 示例

# Python code explaining
# SymPy.RGS_enum()
  
# importing SymPy libraries
from sympy.combinatorics.partitions import Partition
from sympy.combinatorics.partitions import RGS_enum
  
# Using from sympy.combinatorics.partitions.Partition.RGS_enum() method 
p = RGS_enum(20)
  
q = RGS_enum(-1)
  
print ("no. of strings possible for size  20 ", p)
print ("no. of strings possible for size  -1: ", q)

输出 ：

no. of strings possible for size 20 51724158235372
no. of strings possible for size -1: 0