  Nevanlinna showed that two non-constant meromorphic functions on $\mathbb C$
must be linked by a M\"{o}bius transformation if they have the same inverse
images counted with multiplicities for four distinct values. After that this
results is generalized by Gundersen to the case where two meromorphic functions
share two values ignoring multiplicity and share other two values with
multiplicities trucated by 2. Previously, the first author proved that for
$n\ge 2,$ there are at most two linearly nondegenerate meromorphic mappings of
$\mathbb C^m$ into $\mathbb P^n(\mathbb C)$ sharing $2n+2$ hyperplanes
ingeneral position ignoring multiplicity. In this article, we will show that if
two meromorphic mappings $f$ and $g$ of $\mathbb C^m$ into $\mathbb P^n(\mathbb
C)$ share $2n+1$ hyperplanes ignoring multiplicity and another hyperplane with
multiplicities trucated by $n+1$ then the map $f\times g$ is algebraically
degenerate.
