Cod sursa(job #2642244)

Utilizator popashtefan10Popa Stefan popashtefan10 Data 14 august 2020 10:27:12
Problema Indep Scor 100
Compilator cpp-64 Status done
Runda Arhiva de probleme Marime 2.5 kb
#include <iostream>
#include <cstdio>
#include <vector>

using namespace std;

const int MAXCF = 350;
const int VMAX = 1000;
const int NMAX = 500;
const int BASE = 10000;

class Huge {
private:
  int cf[MAXCF];

public:
  Huge(int x = 0) {
    for(int i = 0; i < MAXCF; i++)
      cf[i] = 0;
    if(x == 0)
      cf[0] = 1, cf[1] = 0;
    else {
      cf[0] = 0;
      while(x) {
        cf[++cf[0]] = x % BASE;
        x /= BASE;
      }
    }
  }

  void fill0(int dim) {
    for(int i = cf[0] + 1; i <= dim; i++)
      cf[i] = 0;
  }

  Huge operator = (Huge dr) {
    for(int i = 0; i <= dr.cf[0]; i++)
      cf[i] = dr.cf[i];
  }

  Huge operator += (Huge &dr) {
    dr.fill0(max(dr.cf[0], cf[0]));
    fill0(max(dr.cf[0], cf[0]));
    cf[0] = max(dr.cf[0], cf[0]);

    int r = 0;
    for(int i = 1; i <= cf[0]; i++) {
      cf[i] += dr.cf[i] + r;
      r = cf[i] / BASE;
      cf[i] %= BASE;
    }
    if(r) cf[++cf[0]] = r;

    return *this;
  }

  Huge operator -= (Huge dr) {
    dr.fill0(cf[0]);

    for(int i = 1, r = 0; i <= cf[0]; i++) {
      cf[i] -= dr.cf[i] + r;
      if(cf[i] < 0)
        cf[i] += BASE, r = 1;
      else
        r = 0;
    }
    while(cf[0] > 1 && cf[cf[0]] == 0)
      cf[0]--;

    return *this;
  }

  void print() {
    for(int i = cf[0]; i >= 1; i--) {
      const char* format = (i < cf[0]) ? "%04d" : "%d";
      printf(format, cf[i]);
    }
  }
};

int frecv[VMAX + 5], nr_multipli[VMAX + 5];
int verif[VMAX + 5], nr_div[VMAX + 5];
Huge p2[NMAX + 5];

void precalc() {
  for(int i = 1; i <= VMAX; i++)
    verif[i] = 1;
  for(int i = 2; i <= VMAX; i++)
    if(verif[i] == 1)
      for(int j = i; j <= VMAX; j += i) {
        verif[j] *= i;
        nr_div[j]++;
      }
}

int main() {
  freopen("indep.in", "r", stdin);
  freopen("indep.out", "w", stdout);
  int n, x, maxim = 0;

  precalc();
  scanf("%d", &n);
  p2[0] = Huge(1);
  for(int i = 1; i <= n; i++) {
    p2[i] = p2[i - 1];
    p2[i] += p2[i - 1];
    scanf("%d", &x);
    frecv[x]++;
    maxim = max(maxim, x);
  }

  for(int i = 1; i <= n; i++)
    p2[i] -= Huge(1);

  for(int i = 2; i <= maxim; i++)
    for(int j = i; j <= maxim; j += i)
      nr_multipli[i] += frecv[j];

  Huge sol = p2[n];
  for(int i = 2; i <= maxim; i++)
    if(verif[i] == i && nr_multipli[i] != 0)
      if(nr_div[i] % 2 == 0)
        sol += p2[nr_multipli[i]];
      else
        sol -= p2[nr_multipli[i]];

  sol.print();

  return 0;
}