/* -*- coding: utf-8 -*- * * 3101.cc: No.3101 Range Eratosthenes Query - yukicoder */ #include #include #include using namespace std; /* constant */ const int MAX_N = 1000000; const int MAX_QN = 200000; /* typedef */ using vi = vector; template struct BIT { int n; vector bits; BIT() {} BIT(int _n) { init(_n); } void init(int _n) { n = _n; bits.assign(n + 1, 0); } T sum(int x) { x = min(x, n); T s = 0; while (x > 0) { s += bits[x]; x -= (x & -x); } return s; } void add(int x, T v) { if (x <= 0) return; while (x <= n) { bits[x] += v; x += (x & -x); } } }; /* global variables */ bool primes[MAX_N + 1]; int xds[MAX_N + 1]; int ls[MAX_QN], rs[MAX_QN], res[MAX_QN]; vi rvs[MAX_N + 1]; BIT bit; /* subroutines */ /* main */ int main() { int qn; scanf("%d", &qn); for (int i = 0; i < qn; i++) scanf("%d%d", ls + i, rs + i); int n = *max_element(rs, rs + qn); fill(primes, primes + n + 1, true); primes[0] = primes[1] = false; fill(xds, xds + n + 1, 1); for (int p = 2; p * p <= n; p++) if (primes[p]) { for (int q = p * 2; q <= n; q += p) { primes[q] = false; xds[q] = max(xds[q], q / p); } } fill(res, res + qn, 1); for (int i = 0; i < qn; i++) if (ls[i] > 1) rvs[rs[i]].push_back(i); bit.init(n); for (int x = 1; x <= n; x++) { bit.add(xds[x], 1); for (auto i: rvs[x]) res[i] = bit.sum(ls[i] - 1) - (ls[i] - 1); } for (int i = 0; i < qn; i++) printf("%d\n", res[i]); return 0; }