The prison of your city has n prisoners. As the prison can't accommodate all of them, the city mayor has decided to transfer c of the prisoners to a prison located in another city.
For this reason, he made the n prisoners to stand in a line, with a number written on their chests. The number is the severity of the crime he/she has committed. The greater the number, the more severe his/her crime was.
Then, the mayor told you to choose the c prisoners, who will be transferred to the other prison. He also imposed two conditions. They are,
Find the number of ways you can choose the c prisoners.
The first line of input will contain three space separated integers n(1≤n≤2·105), t(0≤t≤109) and c(1≤c≤n). The next line will contain n space separated integers, the ith integer is the severity ith prisoner's crime. The value of crime severities will be non-negative and will not exceed 109.
Print a single integer − the number of ways you can choose the c prisoners.
4 3 3
2 3 1 1
2
1 1 1
2
0
11 4 2
2 2 0 7 3 2 2 4 9 1 4
6