Problem p00009 (C++)

Buggy submission (status: Time Limit Exceeded):
#include <algorithm>
#include <array>
#include <cmath>
#include <iostream>
#include <set>
#include <vector>

std::vector<std::size_t> prime_table = {2};

void make_prime_table() {
  std::set<std::size_t> undefined_table;
  for (std::size_t i = 3; i <= 999999; ++i) {
    undefined_table.insert(i);
  }

  const std::size_t sn = 1000;
  for (std::size_t p = 0; !undefined_table.empty() && p < prime_table.size();
       ++p) {
    for (auto u = undefined_table.begin(); u != undefined_table.end();) {
      if (0 == *u % prime_table[p]) {
        u = undefined_table.erase(u);
      } else {
        ++u;
      }
    }

    if (!undefined_table.empty()) {
      prime_table.push_back(*undefined_table.begin());
      undefined_table.erase(undefined_table.begin());
      if (sn <= prime_table.back()) {
        break;
      }
    }
  }
  prime_table.insert(prime_table.end(), undefined_table.begin(),
                     undefined_table.end());
}

std::array<std::size_t, 1000000> prime_acc = {{0, 0}};

void make_prime_acc() {
  std::size_t acc_found = 1;
  for (auto p = prime_table.begin(); p != prime_table.end(); ++p) {
    std::fill_n(prime_acc.begin() + acc_found + 1, *p - acc_found - 1,
                prime_acc[acc_found]);
    acc_found = *p;
    prime_acc[acc_found] = prime_acc[acc_found - 1] + 1;
  }
  std::fill(prime_acc.begin() + acc_found + 1, prime_acc.end(),
            prime_acc[acc_found]);
}

int main() {
  make_prime_table();
  make_prime_acc();

  std::size_t n;

  while (std::cin >> n, !std::cin.eof()) {
    std::cout << prime_acc[n] << std::endl;
  }
}

Fixed submission:
#include <algorithm>
#include <array>
#include <cmath>
#include <iostream>
#include <set>
#include <vector>

std::vector<std::size_t> prime_table = {2};

void make_prime_table() {
  std::set<std::size_t> undefined_table;
  for (std::size_t i = 3; i <= 999999; i += 2) {
    undefined_table.insert(i);
  }

  const std::size_t sn = 1000;
  for (std::size_t p = 0; !undefined_table.empty() && p < prime_table.size();
       ++p) {
    for (auto u = undefined_table.begin(); u != undefined_table.end();) {
      if (0 == *u % prime_table[p]) {
        u = undefined_table.erase(u);
      } else {
        ++u;
      }
    }

    if (!undefined_table.empty()) {
      prime_table.push_back(*undefined_table.begin());
      undefined_table.erase(undefined_table.begin());
      if (sn <= prime_table.back()) {
        break;
      }
    }
  }
  prime_table.insert(prime_table.end(), undefined_table.begin(),
                     undefined_table.end());
}

std::array<std::size_t, 1000000> prime_acc = {{0, 0}};

void make_prime_acc() {
  std::size_t acc_found = 1;
  for (auto p = prime_table.begin(); p != prime_table.end(); ++p) {
    std::fill_n(prime_acc.begin() + acc_found + 1, *p - acc_found - 1,
                prime_acc[acc_found]);
    acc_found = *p;
    prime_acc[acc_found] = prime_acc[acc_found - 1] + 1;
  }
  std::fill(prime_acc.begin() + acc_found + 1, prime_acc.end(),
            prime_acc[acc_found]);
}

int main() {
  make_prime_table();
  make_prime_acc();

  std::size_t n;

  while (std::cin >> n, !std::cin.eof()) {
    std::cout << prime_acc[n] << std::endl;
  }
}