URI Online Judge Solution 1032 in C++

Problem Name: URI Problem - Joseph’s Cousin
Problem Number : URI - 1032
Online Judge : URI Online Judge Solution
Level: Ad Hoc

Solution in C++

#include <cstdio>
#include <cstring>
#include <vector>

#define PB push_back
#define SC1(a) scanf("%d", &a)
#define FOR(i, n) for(int i = 0; i < (n); ++i)
#define REP(i, a, b) for (int i = (a); i <= (b); ++i)

using namespace std;

typedef long long LL;
typedef vector<int> VI;

bool mark[100015];
VI v1, v2;

void fillarr()
{
 mark[0] = mark[1] = 1;

 REP(i, 0, 100015)
 {
  if(mark[i])
   continue;

  v1.PB(i);

  for(LL j = LL(i)*i ; j > 0 && j < 100015; j += i)
   mark[j] = 1;
 }
}

int main(int argc, char const *argv[])
{
 int n, k, id,  p;

 fillarr();

 while(SC1(n) && n)
 {
  id = 0;
  v2.clear();

  REP(i, 1, n)
   v2.PB(i);

  p  = (v1[id] - 1) % v2.size();

  if(v2.size() > 1){
   do{
    v2.erase(v2.begin() + p);
    id++;
    p = (p - 1 + v1[id]) % v2.size();
   } while(v2.size() > 1);
  }

  p = v2[0];
  printf("%d\n", p);
 }

 return 0;
}