#include #include using namespace std; class DisjointSet{ public: vector rank, p; DisjointSet(){} DisjointSet(int size){ rank.resize(size, 0); p.resize(size, 0); for(int i = 0; i < size; i++) makeSet(i); } void makeSet(int x){ p[x] = x; rank[x] = 0; } bool same(int x, int y){ return findSet(x) == findSet(y); } void unite(int x, int y){ link(findSet(x), findSet(y)); } void link(int x, int y){ if(rank[x] > rank[y]){ p[y] = x; }else{ p[x] = y; if(rank[x] == rank[y]){ rank[y]++; } } } int findSet(int x){ if(x != p[x]){ // path compression p[x] = findSet(p[x]); } return p[x]; } }; int main(){ int n, p; cin >> n >> p; vector prime; bool nonp[1000001] = {}; for(int i = 2; i < 1000001; i++){ if(nonp[i]) continue; prime.push_back(i); for(int j = i+i; j < 1000001; j+= i) nonp[j] = true; } int pnum = prime.size(); DisjointSet uf(n); // ここが重いかもしれない for(int j = 0; j < pnum; j++){ if(prime[j] > n) break; for(int i = prime[j]+prime[j]; i <= n; i+=prime[j]){ uf.unite(i-1, i-prime[j]-1); } } int ans = 0; for(int i = 0; i < n; i++) if(uf.same(p-1,i)) ans++; cout << ans << endl; return 0; }