Y by
In the governor elections, there were three candidates:
,
, and
. In the first round,
received
of the votes that were cast between
and
. No candidate obtained the majority needed to win in the first round, and
was the one who received the least votes of the three, so there was a runoff between
and
. The voters for the runoff were the same as in the first round, except for
of those who voted for
, who chose not to participate in the runoff;
is an integer,
. It is also known that all those who voted for
in the first round also voted for him again in the runoff, but it is unknown what those who voted for
in the first round did.
A journalist claims that, knowing all this, one can infer with certainty who will win the runoff. Determine for which values of
the journalist is telling the truth.
Note: The winner of the runoff is the one who receives more than half of the total votes cast in the runoff.
















A journalist claims that, knowing all this, one can infer with certainty who will win the runoff. Determine for which values of

Note: The winner of the runoff is the one who receives more than half of the total votes cast in the runoff.