結果
| 問題 | No.1661 Sum is Prime (Hard Version) |
| ユーザー |
 PCTprobability
|
| 提出日時 | 2021-08-27 21:29:08 |
| 言語 | C++17 (gcc 12.3.0 + boost 1.83.0) |
| 結果 |
AC
|
| 実行時間 | 170 ms / 3,000 ms |
| コード長 | 7,085 bytes |
| コンパイル時間 | 6,726 ms |
| コンパイル使用メモリ | 308,124 KB |
| 実行使用メモリ | 86,648 KB |
| 最終ジャッジ日時 | 2024-11-21 00:54:06 |
| 合計ジャッジ時間 | 10,931 ms |
|
ジャッジサーバーID （参考情報） |
judge2 / judge4 |
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テストケース
テストケース表示| 入力 | 結果 | 実行時間 実行使用メモリ |
|---|---|---|
| testcase_00 | AC | 130 ms
85,492 KB |
| testcase_01 | AC | 129 ms
85,492 KB |
| testcase_02 | AC | 151 ms
85,540 KB |
| testcase_03 | AC | 122 ms
85,648 KB |
| testcase_04 | AC | 129 ms
85,692 KB |
| testcase_05 | AC | 151 ms
86,292 KB |
| testcase_06 | AC | 138 ms
85,628 KB |
| testcase_07 | AC | 132 ms
85,620 KB |
| testcase_08 | AC | 132 ms
85,692 KB |
| testcase_09 | AC | 131 ms
85,364 KB |
| testcase_10 | AC | 136 ms
85,364 KB |
| testcase_11 | AC | 125 ms
85,536 KB |
| testcase_12 | AC | 145 ms
85,664 KB |
| testcase_13 | AC | 145 ms
85,580 KB |
| testcase_14 | AC | 146 ms
85,492 KB |
| testcase_15 | AC | 157 ms
85,524 KB |
| testcase_16 | AC | 151 ms
86,172 KB |
| testcase_17 | AC | 148 ms
86,160 KB |
| testcase_18 | AC | 133 ms
85,532 KB |
| testcase_19 | AC | 138 ms
85,616 KB |
| testcase_20 | AC | 137 ms
86,300 KB |
| testcase_21 | AC | 150 ms
86,228 KB |
| testcase_22 | AC | 170 ms
86,648 KB |
| testcase_23 | AC | 165 ms
85,644 KB |
ソースコード
#pragma GCC target("avx2")
#pragma GCC optimize("O3")
#pragma GCC optimize("unroll-loops")
#pragma GCC optimize("Ofast")
#include <bits/stdc++.h>
#include <unistd.h>
using namespace std;
#if __has_include(<atcoder/all>)
#include <atcoder/all>
using namespace atcoder;
#endif
using ll = long long;
using ld = long double;
using ull = unsigned long long;
#define endl "\n"
typedef pair<int, int> Pii;
#define REP3(i, m, n) for (int i = (m); (i) < int(n); ++ (i))
#define FOR(i,a,b) for(ll i=a;i<=(ll)(b);i++)
#define rep(i,a,b) for(int i=(int)(a);i<(int)(b);i++)
#define ALL(x) begin(x), end(x)
#define all(s) (s).begin(),(s).end()
//#define rep2(i, m, n) for (int i = (m); i < (n); ++i)
//#define rep(i, n) rep2(i, 0, n)
#define PB push_back
#define drep2(i, m, n) for (int i = (m)-1; i >= (n); --i)
#define drep(i, n) drep2(i, n, 0)
#define rever(vec) reverse(vec.begin(), vec.end())
#define sor(vec) sort(vec.begin(), vec.end())
//#define FOR(i,a,b) for(ll i=a;i<=(ll)(b);i++)
#define fi first
#define se second
#define pb push_back
#define P pair<ll,ll>
#define NP next_permutation
//const ll mod = 1000000009;
//const ll mod = 998244353;
const ll mod = 1000000007;
const ll inf = 4100000000000000000ll;
const ld eps = ld(0.00000000001);
//static const long double pi = 3.141592653589793;
template<class T>void vcin(vector<T> &n){for(int i=0;i<int(n.size());i++) cin>>n[i];}
template<class T,class K>void vcin(vector<T> &n,vector<K> &m){for(int i=0;i<int(n.size());i++) cin>>n[i]>>m[i];}
template<class T>void vcout(vector<T> &n){for(int i=0;i<int(n.size());i++){cout<<n[i]<<" ";}cout<<endl;}
template<class T>void vcin(vector<vector<T>> &n){for(int i=0;i<int(n.size());i++){for(int j=0;j<int(n[i].size());j++){cin>>n[i][j];}}}
template<class T>void vcout(vector<vector<T>> &n){for(int i=0;i<int(n.size());i++){for(int j=0;j<int(n[i].size());j++){cout<<n[i][j]<<" ";}cout<<endl;}cout<<endl;}
void yes(bool a){cout<<(a?"yes":"no")<<endl;}
void YES(bool a){cout<<(a?"YES":"NO")<<endl;}
void Yes(bool a){cout<<(a?"Yes":"No")<<endl;}
void possible(bool a){ cout<<(a?"possible":"impossible")<<endl; }
void Possible(bool a){ cout<<(a?"Possible":"Impossible")<<endl; }
void POSSIBLE(bool a){ cout<<(a?"POSSIBLE":"IMPOSSIBLE")<<endl; }
template<class T>auto min(const T& a){ return *min_element(all(a)); }
template<class T>auto max(const T& a){ return *max_element(all(a)); }
template<class T,class F>void print(pair<T,F> a){cout<<a.fi<<" "<<a.se<<endl;}
template<class T>bool chmax(T &a, const T &b) { if (a<b) { a=b; return 1; } return 0;}
template<class T>bool chmin(T &a, const T &b) { if (b<a) { a=b; return 1; } return 0;}
template<class T> void ifmin(T t,T u){if(t>u){cout<<-1<<endl;}else{cout<<t<<endl;}}
template<class T> void ifmax(T t,T u){if(t>u){cout<<-1<<endl;}else{cout<<t<<endl;}}
template<typename T,typename ...Args>auto make_vector(T x,int arg,Args ...args){if constexpr(sizeof...(args)==0)return vector<T>(arg,x);else return vector(arg,make_vector<T>(x,args...));}
ll fastgcd(ll u,ll v){ll shl=0;while(u&&v&&u!=v){bool eu=!(u&1);bool ev=!(v&1);if(eu&&ev){++shl;u>>=1;v>>=1;}else if(eu&&!ev){u>>=1;}else if(!eu&&ev){v>>=1;}else if(u>=v){u=(u-v)>>1;}else{ll tmp=u;u=(v-u)>>1;v=tmp;}}return !u?v<<shl:u<<shl;}
ll modPow(ll a, ll n, ll mod) { if(mod==1) return 0;ll ret = 1; ll p = a % mod; while (n) { if (n & 1) ret = ret * p % mod; p = p * p % mod; n >>= 1; } return ret; }
vector<ll> divisor(ll x){ vector<ll> ans; for(ll i = 1; i * i <= x; i++){ if(x % i == 0) {ans.push_back(i); if(i*i!=x){ ans.push_back(x / ans[i]);}}}sor(ans); return ans; }
ll pop(ll x){return __builtin_popcountll(x);}
ll poplong(ll x){ll y=-1;while(x){x/=2;y++;}return y;}
template<class T>
struct Sum{
vector<T> data;
Sum(const vector<T>& v):data(v.size()+1){
for(ll i=0;i<v.size();i++) data[i+1]=data[i]+v[i];
}
T get(ll l,ll r) const {
return data[r]-data[l];
}
};
template<class T>
struct Sum2{
vector<vector<T>> data;
Sum2(const vector<vector<T>> &v):data(v.size()+1,vector<T>(v[0].size()+1)){
for(int i=0;i<v.size();i++) for(int j=0;j<v[i].size();j++) data[i+1][j+1]=data[i][j+1]+v[i][j];
for(int i=0;i<v.size();i++) for(int j=0;j<v[i].size();j++) data[i+1][j+1]+=data[i+1][j];
}
T get(ll x1,ll y1,ll x2,ll y2) const {
return data[x2][y2]+data[x1][y1]-data[x1][y2]-data[x2][y1];
}
};
void cincout(){
ios::sync_with_stdio(false);
std::cin.tie(nullptr);
cout<< fixed << setprecision(10);
}
const int N = 3e5 + 9;
namespace pcf {
// initialize once by calling init()
#define MAXN 10000010 // initial sieve limit
#define MAX_PRIMES 1000010 // max size of the prime array for sieve
#define PHI_N 100000
#define PHI_K 100
unsigned int ar[(MAXN >> 6) + 5] = {0};
int len = 0; // total number of primes generated by sieve
int primes[MAX_PRIMES];
int counter[MAXN]; // counter[m] --> number of primes <= i
int dp[PHI_N][PHI_K]; // precal of yo(n,k)
bitset <MAXN> fl;
void sieve(int n) {
fl[1] = true;
for (int i = 4; i <= n; i += 2) fl[i] = true;
for (int i = 3; i * i <= n; i += 2) {
if (!fl[i]) {
for (int j = i * i; j <= n; j += i << 1) fl[j] = 1;
}
}
for (int i = 1; i <= n; i++) {
if (!fl[i]) primes[len++] = i;
counter[i] = len;
}
}
void init() {
sieve(MAXN - 1);
// precalculation of phi upto size (PHI_N,PHI_K)
int k, n, res;
for (n = 0; n < PHI_N; n++) dp[n][0] = n;
for (k = 1; k < PHI_K; k++) {
for (n = 0; n < PHI_N; n++) {
dp[n][k] = dp[n][k - 1] - dp[n / primes[k - 1]][k - 1];
}
}
}
// returns number of integers less or equal n which are
// not divisible by any of the first k primes
// recurrence --> yo(n , k) = yo(n , k-1) - yo(n / p_k , k-1)
// for sum of primes yo(n,k)=yo(n,k-1)-p_k*yo(n/p_k,k-1)
long long yo(long long n, int k) {
if (n < PHI_N && k < PHI_K) return dp[n][k];
if (k == 1) return ((++n) >> 1);
if (primes[k - 1] >= n) return 1;
return yo(n, k - 1) - yo(n / primes[k - 1], k - 1);
}
long long Legendre(long long n) {
if (n < MAXN) return counter[n];
int lim = sqrt(n) + 1;
int k = upper_bound(primes, primes + len, lim) - primes;
return yo(n, k) + (k - 1);
}
//complexity: n^(2/3).(log n^(1/3))
long long Lehmer(long long n) {
if(n<0) return 0;
if (n < MAXN) return counter[n];
long long w, res = 0;
int i, j, a, b, c, lim;
b = sqrt(n), c = Lehmer(cbrt(n)), a = Lehmer(sqrt(b)), b = Lehmer(b);
res = yo(n, a) + (((b + a - 2) * (b - a + 1)) >> 1);
for (i = a; i < b; i++) {
w = n / primes[i];
lim = Lehmer(sqrt(w)), res -= Lehmer(w);
if (i <= c) {
for (j = i; j < lim; j++) {
res += j;
res -= Lehmer(w / primes[j]);
}
}
}
return res;
}
}
int main() {
cincout();
ll l,r;
cin>>l>>r;
pcf::init();
swap(l,r);
if(l==1&&r==1){
cout<<0<<endl;
return 0;
}
cout<<pcf::Lehmer(l)-pcf::Lehmer(r-1)+pcf::Lehmer(2*l-1)-pcf::Lehmer(2*r-1)-(r==1)<<endl;
}