The ZAFT are attacking the Orb Union! There are stations, numbered from
, that need to be defended. For it to be secure, the Orb Union needs to have at least
troops at each station. Unfortunately, due to the radar-jamming effects of the Neutron Jammer, the Orb Union cannot order their troops to move between stations. The Orb Union will send
waves of troops, each of which sends
troops to each of the stations
. All stations start with
troops.
The Orb Union wants you to help them find the number of stations that are not secure.
Input Specification
The first line will contain the integer
, the number of stations.
The second line will contain the integer
, the minimum number of troops required to defend a station.
The third line will contain the integer
, the number of waves of troops.
The next lines will contain 3 space-separated integers. These integers will be in the order
,
,
.
Output Specification
Output the total number of stations that have less than troops.
Sample Input
4
1
3
1 3 1
2 3 2
3 3 2
Sample Output
1
Explanation for Sample Output
Station 1 has 1 troop, station 2 has 3 troops, station 3 has 5 troops and station 4 has 0 troops. Station 4 is the only station with less than 1 troop, so the output is 1.
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