Nou ka fè pou pi piti twa gwoup apwòch
P K ( n ) = ( ∑ i = 1 2 k × n ( [ 1 + ∑ m = 1 i ( 1 − [ [ ( m ! ) 2 m 3 ] ( m ! ) 2 m 3 ] ) k + 1 + ∑ m = 1 n ( 1 − [ [ ( m ! ) 2 m 3 ] ( m ! ) 2 m 3 ] ) ] × [ k + 1 + ∑ m = 1 n ( 1 − [ [ ( m ! ) 2 m 3 ] ( m ! ) 2 m 3 ] ) 1 + ∑ m = 1 i ( 1 − [ [ ( m ! ) 2 m 3 ] ( m ! ) 2 m 3 ] ) ] × i × ( 1 − [ [ ( i ! ) 2 i 3 ] ( i ! ) 2 i 3 ] ) ) ) × [ [ ( n ! ) 2 n 3 ] ( n ! ) 2 n 3 ] + ( ∑ i = 1 2 k × n ( [ 1 + ∑ m = 1 i ( 1 − [ [ ( m ! ) 2 m 3 ] ( m ! ) 2 m 3 ] ) k + ∑ m = 1 n ( 1 − [ [ ( m ! ) 2 m 3 ] ( m ! ) 2 m 3 ] ) ] × [ k + ∑ m = 1 n ( 1 − [ [ ( m ! ) 2 m 3 ] ( m ! ) 2 m 3 ] ) 1 + ∑ m = 1 i ( 1 − [ [ ( m ! ) 2 m 3 ] ( m ! ) 2 m 3 ] ) ] × i × ( 1 − [ [ ( i ! ) 2 i 3 ] ( i ! ) 2 i 3 ] ) ) ) × ( 1 − [ [ ( n ! ) 2 n 3 ] ( n ! ) 2 n 3 ] ) {\displaystyle P_{K}\left(n\right)=\left(\sum _{i=1}^{2^{k}\times n}{\left(\left[{\frac {1+\sum _{m=1}^{i}{\left(1-\left[{\frac {\left[{\frac {{\left(m!\right)}^{2}}{m^{3}}}\right]}{\frac {{\left(m!\right)}^{2}}{m^{3}}}}\right]\right)}}{k+1+\sum _{m=1}^{n}{\left(1-\left[{\frac {\left[{\frac {{\left(m!\right)}^{2}}{m^{3}}}\right]}{\frac {{\left(m!\right)}^{2}}{m^{3}}}}\right]\right)}}}\right]\times \left[{\frac {k+1+\sum _{m=1}^{n}{\left(1-\left[{\frac {\left[{\frac {{\left(m!\right)}^{2}}{m^{3}}}\right]}{\frac {{\left(m!\right)}^{2}}{m^{3}}}}\right]\right)}}{1+\sum _{m=1}^{i}{\left(1-\left[{\frac {\left[{\frac {{\left(m!\right)}^{2}}{m^{3}}}\right]}{\frac {{\left(m!\right)}^{2}}{m^{3}}}}\right]\right)}}}\right]\times i\times \left(1-\left[{\frac {\left[{\frac {{\left(i!\right)}^{2}}{i^{3}}}\right]}{\frac {\left(i!\right)^{2}}{i^{3}}}}\right]\right)\right)}\right)\times \left[{\frac {\left[{\frac {{\left(n!\right)}^{2}}{n^{3}}}\right]}{\frac {{\left(n!\right)}^{2}}{n^{3}}}}\right]+{\left(\sum _{i=1}^{2^{k}\times n}{\left(\left[{\frac {1+\sum _{m=1}^{i}{\left(1-\left[{\frac {\left[{\frac {{\left(m!\right)}^{2}}{m^{3}}}\right]}{\frac {{\left(m!\right)}^{2}}{m^{3}}}}\right]\right)}}{k+\sum _{m=1}^{n}{\left(1-\left[{\frac {\left[{\frac {{\left(m!\right)}^{2}}{m^{3}}}\right]}{\frac {{\left(m!\right)}^{2}}{m^{3}}}}\right]\right)}}}\right]\times \left[{\frac {k+\sum _{m=1}^{n}{\left(1-\left[{\frac {\left[{\frac {{\left(m!\right)}^{2}}{m^{3}}}\right]}{\frac {{\left(m!\right)}^{2}}{m^{3}}}}\right]\right)}}{1+\sum _{m=1}^{i}{\left(1-\left[{\frac {\left[{\frac {{\left(m!\right)}^{2}}{m^{3}}}\right]}{\frac {{\left(m!\right)}^{2}}{m^{3}}}}\right]\right)}}}\right]\times i\times \left(1-\left[{\frac {\left[{\frac {{\left(i!\right)}^{2}}{i^{3}}}\right]}{\frac {\left(i!\right)^{2}}{i^{3}}}}\right]\right)\right)}\right)\times \left(1-\left[{\frac {\left[{\frac {{\left(n!\right)}^{2}}{n^{3}}}\right]}{\frac {{\left(n!\right)}^{2}}{n^{3}}}}\right]\right)}}
P K ( n ) = ( ∑ i = 1 2 k × n ( [ 1 + ∑ m = 1 i ( 1 − [ [ ( m ! ) 2 m 3 ] ( m ! ) 2 m 3 ] ) k + 1 + ∑ m = 1 n − 1 ( 1 − [ [ ( m ! ) 2 m 3 ] ( m ! ) 2 m 3 ] ) ] × [ k + 1 + ∑ m = 1 n − 1 ( 1 − [ [ ( m ! ) 2 m 3 ] ( m ! ) 2 m 3 ] ) 1 + ∑ m = 1 i ( 1 − [ [ ( m ! ) 2 m 3 ] ( m ! ) 2 m 3 ] ) ] × i × ( 1 − [ [ ( i ! ) 2 i 3 ] ( i ! ) 2 i 3 ] ) ) ) {\displaystyle P_{K}\left(n\right)=\left(\sum _{i=1}^{2^{k}\times n}{\left(\left[{\frac {1+\sum _{m=1}^{i}{\left(1-\left[{\frac {\left[{\frac {{\left(m!\right)}^{2}}{m^{3}}}\right]}{\frac {{\left(m!\right)}^{2}}{m^{3}}}}\right]\right)}}{k+1+\sum _{m=1}^{n-1}{\left(1-\left[{\frac {\left[{\frac {{\left(m!\right)}^{2}}{m^{3}}}\right]}{\frac {{\left(m!\right)}^{2}}{m^{3}}}}\right]\right)}}}\right]\times \left[{\frac {k+1+\sum _{m=1}^{n-1}{\left(1-\left[{\frac {\left[{\frac {{\left(m!\right)}^{2}}{m^{3}}}\right]}{\frac {{\left(m!\right)}^{2}}{m^{3}}}}\right]\right)}}{1+\sum _{m=1}^{i}{\left(1-\left[{\frac {\left[{\frac {{\left(m!\right)}^{2}}{m^{3}}}\right]}{\frac {{\left(m!\right)}^{2}}{m^{3}}}}\right]\right)}}}\right]\times i\times \left(1-\left[{\frac {\left[{\frac {{\left(i!\right)}^{2}}{i^{3}}}\right]}{\frac {\left(i!\right)^{2}}{i^{3}}}}\right]\right)\right)}\right)}
![{\displaystyle P_{K}\left(n\right)=\left(\sum _{i=1}^{2^{k}\times n}{\left(\left[{\frac {1+\sum _{m=1}^{i}{\left(1-\left[{\frac {\left[{\frac {{\left(m!\right)}^{2}}{m^{3}}}\right]}{\frac {{\left(m!\right)}^{2}}{m^{3}}}}\right]\right)}}{k+1+\sum _{m=1}^{n}{\left(1-\left[{\frac {\left[{\frac {{\left(m!\right)}^{2}}{m^{3}}}\right]}{\frac {{\left(m!\right)}^{2}}{m^{3}}}}\right]\right)}}}\right]\times \left[{\frac {k+1+\sum _{m=1}^{n}{\left(1-\left[{\frac {\left[{\frac {{\left(m!\right)}^{2}}{m^{3}}}\right]}{\frac {{\left(m!\right)}^{2}}{m^{3}}}}\right]\right)}}{1+\sum _{m=1}^{i}{\left(1-\left[{\frac {\left[{\frac {{\left(m!\right)}^{2}}{m^{3}}}\right]}{\frac {{\left(m!\right)}^{2}}{m^{3}}}}\right]\right)}}}\right]\times i\times \left(1-\left[{\frac {\left[{\frac {{\left(i!\right)}^{2}}{i^{3}}}\right]}{\frac {\left(i!\right)^{2}}{i^{3}}}}\right]\right)\right)}\right)\times \left[{\frac {\left[{\frac {{\left(n!\right)}^{2}}{n^{3}}}\right]}{\frac {{\left(n!\right)}^{2}}{n^{3}}}}\right]+{\left(\sum _{i=1}^{2^{k}\times n}{\left(\left[{\frac {1+\sum _{m=1}^{i}{\left(1-\left[{\frac {\left[{\frac {{\left(m!\right)}^{2}}{m^{3}}}\right]}{\frac {{\left(m!\right)}^{2}}{m^{3}}}}\right]\right)}}{k+\sum _{m=1}^{n}{\left(1-\left[{\frac {\left[{\frac {{\left(m!\right)}^{2}}{m^{3}}}\right]}{\frac {{\left(m!\right)}^{2}}{m^{3}}}}\right]\right)}}}\right]\times \left[{\frac {k+\sum _{m=1}^{n}{\left(1-\left[{\frac {\left[{\frac {{\left(m!\right)}^{2}}{m^{3}}}\right]}{\frac {{\left(m!\right)}^{2}}{m^{3}}}}\right]\right)}}{1+\sum _{m=1}^{i}{\left(1-\left[{\frac {\left[{\frac {{\left(m!\right)}^{2}}{m^{3}}}\right]}{\frac {{\left(m!\right)}^{2}}{m^{3}}}}\right]\right)}}}\right]\times i\times \left(1-\left[{\frac {\left[{\frac {{\left(i!\right)}^{2}}{i^{3}}}\right]}{\frac {\left(i!\right)^{2}}{i^{3}}}}\right]\right)\right)}\right)\times \left(1-\left[{\frac {\left[{\frac {{\left(n!\right)}^{2}}{n^{3}}}\right]}{\frac {{\left(n!\right)}^{2}}{n^{3}}}}\right]\right)}}](https://wikimedia.org/api/rest_v1/media/math/render/svg/79936ac4419ced0b7d092e0b2ffcc361bb9ab28c)
![{\displaystyle P_{K}\left(n\right)=\left(\sum _{i=1}^{2^{k}\times n}{\left(\left[{\frac {1+\sum _{m=1}^{i}{\left(1-\left[{\frac {\left[{\frac {{\left(m!\right)}^{2}}{m^{3}}}\right]}{\frac {{\left(m!\right)}^{2}}{m^{3}}}}\right]\right)}}{k+1+\sum _{m=1}^{n-1}{\left(1-\left[{\frac {\left[{\frac {{\left(m!\right)}^{2}}{m^{3}}}\right]}{\frac {{\left(m!\right)}^{2}}{m^{3}}}}\right]\right)}}}\right]\times \left[{\frac {k+1+\sum _{m=1}^{n-1}{\left(1-\left[{\frac {\left[{\frac {{\left(m!\right)}^{2}}{m^{3}}}\right]}{\frac {{\left(m!\right)}^{2}}{m^{3}}}}\right]\right)}}{1+\sum _{m=1}^{i}{\left(1-\left[{\frac {\left[{\frac {{\left(m!\right)}^{2}}{m^{3}}}\right]}{\frac {{\left(m!\right)}^{2}}{m^{3}}}}\right]\right)}}}\right]\times i\times \left(1-\left[{\frac {\left[{\frac {{\left(i!\right)}^{2}}{i^{3}}}\right]}{\frac {\left(i!\right)^{2}}{i^{3}}}}\right]\right)\right)}\right)}](https://wikimedia.org/api/rest_v1/media/math/render/svg/0796be600d6f8556aa317c94abb27ff95f723cf7)
