結果

問題 No.1532 Different Products
ユーザー 👑 tatyamtatyam
提出日時 2021-05-17 15:03:28
言語 C++17
(gcc 13.2.0 + boost 1.83.0)
結果
CE  
(最新)
AC  
(最初)
実行時間 -
コード長 3,611 bytes
コンパイル時間 3,196 ms
コンパイル使用メモリ 209,656 KB
最終ジャッジ日時 2024-04-18 11:38:53
合計ジャッジ時間 3,561 ms
ジャッジサーバーID
（参考情報） 		judge1 / judge2
このコードへのチャレンジ（β）
コンパイルエラー時のメッセージ・ソースコードは、提出者また管理者しか表示できないようにしております。（リジャッジ後のコンパイルエラーは公開されます）
ただし、clay言語の場合は開発者のデバッグのため、公開されます。

コンパイルメッセージ
In file included from /home/linuxbrew/.linuxbrew/Cellar/gcc/13.2.0/include/c++/13/string:43,
                 from /home/linuxbrew/.linuxbrew/Cellar/gcc/13.2.0/include/c++/13/bitset:52,
                 from /home/linuxbrew/.linuxbrew/Cellar/gcc/13.2.0/include/c++/13/x86_64-pc-linux-gnu/bits/stdc++.h:52,
                 from main.cpp:4:
/home/linuxbrew/.linuxbrew/Cellar/gcc/13.2.0/include/c++/13/bits/allocator.h: In destructor 'std::_Vector_base<unsigned int, std::allocator<unsigned int> >::_Vector_impl::~_Vector_impl()':
/home/linuxbrew/.linuxbrew/Cellar/gcc/13.2.0/include/c++/13/bits/allocator.h:184:7: error: inlining failed in call to 'always_inline' 'std::allocator< <template-parameter-1-1> >::~allocator() noexcept [with _Tp = unsigned int]': target specific option mismatch
  184 |       ~allocator() _GLIBCXX_NOTHROW { }
      |       ^
In file included from /home/linuxbrew/.linuxbrew/Cellar/gcc/13.2.0/include/c++/13/vector:66,
                 from /home/linuxbrew/.linuxbrew/Cellar/gcc/13.2.0/include/c++/13/functional:64,
                 from /home/linuxbrew/.linuxbrew/Cellar/gcc/13.2.0/include/c++/13/x86_64-pc-linux-gnu/bits/stdc++.h:53:
/home/linuxbrew/.linuxbrew/Cellar/gcc/13.2.0/include/c++/13/bits/stl_vector.h:133:14: note: called from here
  133 |       struct _Vector_impl
      |              ^~~~~~~~~~~~

ソースコード

diff # 

#pragma GCC target("sse,sse2,sse3,ssse3,sse4,popcnt,abm,mmx,avx,avx2")
#pragma GCC optimize("Ofast")
#pragma GCC optimize("unroll-loops")
#include <bits/stdc++.h>
using namespace std;
using u32 = uint32_t;
using u64 = uint64_t;


vector<bool> sieve_of_atkin(int N){
    vector<bool> isprime(N + 1);
    const int sqrtN = sqrt(N);
    int n;
    for(int z = 1; z <= 5; z += 4) for(int y = z; y <= sqrtN; y += 6){
        for(int x = 1; x <= sqrtN && (n = 4*x*x+y*y) <= N; ++x) isprime[n] = !isprime[n];
        for(int x = y+1; x <= sqrtN && (n = 3*x*x-y*y) <= N; x += 2) isprime[n] = !isprime[n];
    }
    for(int z = 2; z <= 4; z += 2) for(int y = z; y <= sqrtN; y += 6){
        for(int x = 1; x <= sqrtN && (n = 3*x*x+y*y) <= N; x += 2) isprime[n] = !isprime[n];
        for(int x = y+1; x <= sqrtN && (n = 3*x*x-y*y) <= N; x += 2) isprime[n] = !isprime[n];
    }
    for(int y = 3; y <= sqrtN; y += 6) for(int z = 1; z <= 2; ++z){
        for(int x = z; x <= sqrtN && (n = 4*x*x+y*y) <= N; x += 3) isprime[n] = !isprime[n];
    }
    for(int n = 5; n <= sqrtN; ++n) if(isprime[n]) for(int k = n*n; k <= N; k+=n*n) isprime[k] = false;
    isprime[2] = isprime[3] = true;
    return isprime;
}
vector<u32> primes(int N){
    auto isprime = sieve_of_atkin(N);
    vector<u32> ans;
    for(int i = 2; i <= N; i++) if(isprime[i]) ans.push_back(i);
    return ans;
}
int main(){
    constexpr u32 MAX = 1 << 22;
    u32 N;
    u64 K;
    cin >> N >> K;
    if(K == 1) return puts("1") & 0;
    const vector<u32> P = primes(N);
    vector<u32> lg(N + 1);
    for(u32 i : P) lg[i] = round(logl(i) / logl(K) * MAX);
    for(u32 p : P) for(u32 i = 2; i * p <= N; i++) lg[i * p] = lg[i] + lg[p];
    vector<u64> dp(MAX + 1);
    dp[0] = 2;
    for(u32 i = 2; i <= N; i++){
        const u32 x = lg[i];
        for(u32 i = MAX; i >= x; i--) dp[i] += dp[i - x];
    }
    dp.resize(MAX - 7);
    u64 ans = accumulate(dp.begin(), dp.end(), -1LL);
    auto solve = [N](u64 x) -> u32 {
        vector<pair<u64, u32>> dp = {{1, 2}};
        for(u32 j = 2; j <= N; j++) if(x % j == 0){
            auto update = [x, j](pair<u64, u32>& a){
                a.first *= j;
                if(a.first < x && x % a.first) a.first = 0;
            };
            vector<pair<u64, u32>> dp2;
            u32 p = 0, q = 0;
            while(q < dp.size()){
                if(dp[q].first == 0){
                    q++;
                    continue;
                }
                if(p < dp.size()){
                    if(p == q || dp[p].first < dp[q].first){
                        dp2.push_back(dp[p]);
                        update(dp[p]);
                        p++;
                    }
                    else if(dp[p].first == dp[q].first){
                        dp2.emplace_back(dp[p].first, dp[p].second + dp[q].second);
                        update(dp[p]);
                        p++;
                        q++;
                    }
                    else{
                        dp2.push_back(dp[q]);
                        q++;
                    }
                    continue;
                }
                if(dp[q].first > x) break;
                dp2.push_back(dp[q]);
                q++;
            }
            swap(dp, dp2);
        }
        if(dp.back().first != x) return 0;
        return dp.back().second;
    };
    for(u64 i = max<int64_t>(2, K - 1e6); i <= K; i++){
        u64 x = i;
        u32 y = 0;
        for(u32 p : P) while(x % p == 0){
            x /= p;
            y += lg[p];
        }
        if(y >= dp.size()) ans += solve(i);
    }
    cout << ans << endl;
}
0