  A reconstruction problem of words from scattered factors asks for the minimal
information, like multisets of scattered factors of a given length or the
number of occurrences of scattered factors from a given set, necessary to
uniquely determine a word. We show that a word $w \in \{a, b\}^{*}$ can be
reconstructed from the number of occurrences of at most $\min(|w|_a, |w|_b)+ 1$
scattered factors of the form $a^{i} b$. Moreover, we generalize the result to
alphabets of the form $\{1,\ldots,q\}$ by showing that at most $
\sum^{q-1}_{i=1} |w|_i (q-i+1)$ scattered factors suffices to reconstruct $w$.
Both results improve on the upper bounds known so far. Complexity time bounds
on reconstruction algorithms are also considered here.
