Nitori's cucumber garden has n cucumbers that need to be harvested. Harvesting a cucumber requires exactly one unit of time, and the i-th cucumber needs to be harvested before time ai. Not harvesting the i-th cucumber will incur a loss of bi. Help Nitori harvest the cucumbers in an optimal order to minimize the loss.
### Input
- The first line contains two integers n.
- The second line contains n integers ai.
- The third line contains n integers bi.
### Output
- Print an integer, the minimum loss.
### Constraints
- 1≤n≤1000.
- 1≤ai,bi≤1000.
### Example
Input:
5132311040302015
Output:
25