$n>2$$A_1,\dots,A_n$$M_1,\dots,M_n$$A_1A_2,A_2A_3,\dots ,A_nA_1$$B_1,\dots,B_n$$M_2A_2M_1,M_3A_3M_2,\dots ,M_1A_1M_n$\[|B_1B_2|+|B_2B_3|+\dots+|B_nB_1| \leq |A_1A_2|+|A_2A_3|+\dots+|A_nA_1|\]$|XY|$$X$$Y$$X$$Y$$Z$$H_{XYZ}$$\hat{XYZ}$$X$$Z$$Y$$C_1,\dots ,C_n$${H_{A_nA_1A_2},H_{A_1A_2A_3},\dots,H_{A_{n-1}A_nA_1}}$\[|A_1A_2|+|A_2A_3|+\dots +|A_nA_1| \leq |C_1C_2|+|C_2C_3|+\dots+|C_nC_1|\]