#U2122OS1. Visits

Visits

Each of Bessie’s NN (2N1052≤N≤105) bovine buddies (conveniently labeled 1N1…N) owns her own farm. For each 1iN1≤i≤N, buddy ii wants to visit buddy aiai (aiiai≠i).

Given a permutation (p1,p2**,,pN**)(p1,p2,…,pN) of 1N1…N, the visits occur as follows.

For each ii from 11 up to NN:

  • If buddy apiapi has already departed her farm, then buddy pipi remains at her own farm.
  • Otherwise, buddy pipi departs her farm to visit buddy apiapi’s farm. This visit results in a joyful "moo" being uttered vpivpi times (0vpi1090≤vpi≤109).

Compute the maximum possible number of moos after all visits, over all possible permutations pp.

INPUT FORMAT (input arrives from the terminal / stdin):

The first line contains NN.For each 1iN1≤i≤N, the i+1i+1-st line contains two space-separated integers aiai and vivi.

OUTPUT FORMAT (print output to the terminal / stdout):

A single integer denoting the answer.Note that the large size of integers involved in this problem may require the use of 64-bit integer data types (e.g., a "long long" in C/C++).

SAMPLE INPUT:

4
2 10
3 20
4 30
1 40

SAMPLE OUTPUT:

90

If p=**(1,4,3,2)**p=(1,4,3,2) then

  • Buddy 11 visits buddy 22's farm, resulting in 1010 moos.
  • Buddy 44 sees that buddy 11 has already departed, so nothing happens.
  • Buddy 33 visits buddy 44's farm, adding 3030 moos.
  • Buddy 22 sees that buddy 33 has already departed, so nothing happens.

This gives a total of 10+30=4010+30=40 moos.

On the other hand, if p=**(2,3,4,1)**p=(2,3,4,1) then

  • Buddy 22 visits buddy 33's farm, causing 2020 moos.
  • Buddy 33 visits buddy 44's farm, causing 3030 moos.
  • Buddy 44 visits buddy 11's farm, causing 4040 moos.
  • Buddy 11 sees that buddy 22 has already departed, so nothing happens.

This gives 20+30+40=9020+30+40=90 total moos. It can be shown that this is the maximum possible amount after all visits, over all permutations pp.

SCORING:

  • Test cases 2-3 satisfy aiajai≠aj for all iji≠j.
  • Test cases 4-7 satisfy N103N≤103.
  • Test cases 8-11 satisfy no additional constraints.