#include #include #include #include #include #include #include #include #include #include #include using namespace std; using lli = long long int; using Vint = std::vector; using Vlli = std::vector; using Wint = std::vector; using Wlli = std::vector; using Vbool = std::vector; using pii = std::pair; using pll = std::pair; template using Vec = std::vector; constexpr int MOD = 1e9 + 7; constexpr int INFi = 2e9 + 1; constexpr lli INFl = (lli)(9e18) + 1; const vector DXDY = {std::make_pair(1, 0), std::make_pair(-1, 0), std::make_pair(0, 1), std::make_pair(0, -1)}; constexpr char BR = '\n'; #define FOR(i, a, b) for(int (i) = (a); (i) < (b); (i)++) #define FOReq(i, a, b) for(int (i) = (a); (i) <= (b); (i)++) #define rFOR(i, a, b) for(int (i) = (b); (i) >= (a); i--) #define FORstep(i, a, b, step) for(int (i) = (a); i < (b); i += (step)) #define REP(i, n) FOR(i, 0, n) #define rREP(i, n) rFOR(i, 0, (n-1)) #define vREP(ele, vec) for(auto &(ele) : (vec)) #define vREPcopy(ele, vec) for(auto (ele) : (vec)) #define SORT(A) std::sort((A).begin(), (A).end()) #define rSORT(A) std::sort((A).rbegin(), (A).rend()) // 座標圧縮 (for vector) : ソートしてから使うのが一般的 ; SORT(A) => COORDINATE_COMPRESSION(A) #define COORDINATE_COMPRESSION(A) (A).erase(unique((A).begin(),(A).end()),(A).end()) template inline int argmin(std::vector vec){return min_element(vec.begin(), vec.end()) - vec.begin();} template inline int argmax(std::vector vec){return max_element(vec.begin(), vec.end()) - vec.begin();} template inline void chmax(T &a, T b){a = max(a, b);} template inline void chmin(T &a, T b){a = min(a, b);} inline int BitI(int k){return 1 << k;} inline lli BitL(int k){return 1L << k;} inline int toInt(string &s){int res = 0; for(char a : s) res = 10 * res + (a - '0'); return res;} inline int toInt(const string s){int res = 0; for(char a : s) res = 10 * res + (a - '0'); return res;} inline long long int toLong(string &s){lli res = 0; for(char a : s) res = 10 * res + (a - '0'); return res;} inline long long int toLong(const string s){lli res = 0; for(char a : s) res = 10 * res + (a - '0'); return res;} template inline std::string toString(T n){ if(n == 0) return "0"; std::string res = ""; if(n < 0){n = -n;while(n != 0){res += (char)(n % 10 + '0'); n /= 10;} std::reverse(res.begin(), res.end()); return '-' + res;} while(n != 0){res += (char)(n % 10 + '0'); n /= 10;} std::reverse(res.begin(), res.end()); return res; } // ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ using Vbool = std::vector; // 素数の真偽値表を返す : res.at(i) := 自然数 i が素数であるか vector enumeration_primes(int n){ vector res(n + 1, true); res.at(0) = false; res.at(1) = false; int edge = sqrt(n); for(int i = 2; i <= edge; i++){ if(res.at(i)){ for(int j = 2 * i; j <= n; j += i) res.at(j) = false; } } return res; } int main(void){ int n, p; scanf("%d%d", &n, &p); Vbool hasDone(n+1, false); int cnt = 0; Vbool primes = enumeration_primes(n); std::queue pms; for(int i = 2; i <= p; i++){ if(primes[i] and p % i == 0) pms.push(i); } while(not pms.empty()){ int ttt = pms.front(), times = 2; pms.pop(); if(not hasDone[ttt]){hasDone[ttt] = true; cnt++;} printf("PRIME : %d\n", ttt); for(int idx = ttt * 2; idx <= n; idx += ttt, times++){ if(not hasDone[idx]){ cnt++; hasDone[idx] = true;} if(primes[times] and (not hasDone[times])){ pms.push(times); hasDone[times] = true; cnt++; } } } REP(i, n+1) printf("%d %d\n", i, hasDone[i] == true); printf("%d\n", cnt); return 0; }