Statement 1 (The Diagonal Effect of the CTC)

In the CTC, $l\left(j,j\right)=q_j+1$ , for $j=1,2,\cdots ,48$ . Moreover, $l\left(j,j\right)\ge l\left(i,j\right)$ for $i,j=1,2,\cdots ,48$ and $i\ne j$ .