III. $(11$ points$)$ Consider Host A is sending a $1900-$byte IP datagram destined to Host B by going through Router $1$ and Router $2.$ The MTU of each link is shown in the figure. Suppose the original datagram is stamped with the identification number $3408.$

Host A

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$(1)$ How many fragments will be generated by Router $1?$ Show all steps to justify your answer.

$(2)$ For EACH fragment generated by Router $1,$ use the form below to specify the values in the fields in the IP datagrams generated related to fragmentation. Show all steps to justify your answer. Generate more forms if necessary.

$\backslash$table$[[$Identification$,],[$Total Length,$],[$Frag flag,$],[$offset$,]]$

$(3)$ How many fragments will Host B receive? Justify your answer.