Euuurgh!
Here is the correct answer to the homework. We must take the last sample of the vector to be sure that we have the right one which should have been clear from the info from @weefuzzy above.
----------begin_max5_patcher----------
890.3oc2X1saZCCEG+Z3ovxZWRi7mIgo8lLUUY.CjNHIJ1zQUU4YeI1AFcEL
lhSPZ2.JmX33e9+4b7w9sgCfSJ1JUPv2A+DLXvaCGLvXpwvf1mG.WK1NckPY
FFbsToDKjvQ12oka0F6EymqjZv2v6eS9l0EazqjZyuC2Z0ZR+Zoz5THD7X6q
JE5oKyxW7Tkbp19V53zHzH.kha9hG27IgDgN7axlYc9jmefvOxyY46cLo0nR
+5JiOgvFCuObXyGi7j5b4uq8wmf9Av0haVt1IwLJJJgWSYJ0.63H94QFi6Rj
2rdhr5z3QNqZNB.mHxW3lwjDipxL5IG4RUwH3g+nJwZoVV8jLWLwBF5T3i6R
EWLSoE5MJfJawKpuvpyEC.PDy5Ayn+oItVb5xH9ykmSBY9MgO9nDamw5D1c.
VTPgkv8FVZ+WKqT7Kvbv7PRLlaBeYwlx21H5yhLt+Qd5x5RUR.J5zPSuTdrG
oyXNwtClYirX2KAHX2UO6rg3QAUworHBuIHG4Qs8w2icruZfmupPbAQNtkZz
XO1zN4dTHKBwwzXdH0ZaGJLjopFF6LzFG2+Rsb1B4tqbGZSuK9zCC0JxTroZ
Ni4DdNr26SwVZa2Up20M0jKV4C3jXSAMty9Svr9GbUtnTsrPuK3Y4TbpQxiM
RdryCifo+WkjSscreojbR+mjePtu5Sh4QYc6d2jwFoNwofm1+nmWjo5hLbLw
nxGZdyE1I2gDbwxt.5Vslfsw6tf9NrW1O1APgG5VZw11znbWPy5enmIWoE65
NrIdr2Ms+CvKWJTEU6.jNibaAsXmf+Upka9efqxx+2qTzLUZr+wUCUwlpo6m
9sYVf+NalIU5rbgNqH+nwzzTwQCpnZlrxbWPmTA70yM2d3kcccz..Cd7l7Ty
k1cQOse5bSdhamstQ5iyl0YyJKpOSqZ+M0Ya1Kg17EigLGyw73mE.b2OYQch
zS8QPBfdPX8ki7IDq4bn2rmvds1g+f1FJYC4qqQgNV0KW2zMb3oN0GnQgPYS
7gwwgnfnOwPMWfvoVMuMgD6cU+ad4zmbebHp5GeEHE3zBO7LsmHL8z.RtIG6
SJQb..j4oet0LOeR7XehGaWdhxxWjUp1AabQc2sOWXVlSFYdLK29n4hzgUxW
x1O9XiEQUcCp55tS2TYalbap8rUv0E0BV9lr1fxZO+9v+f5jo+F
-----------end_max5_patcher-----------