Language: C++

#include <bits/stdc++.h>
using namespace std;
 
//long long
using ll = long long;
 
// pair<int, int>
using PII = pair<int, int>;
 
 
 
//最大値、mod
const int MOD = 1000000007;
const int mod = 1000000007;
const int INF = 1000000000;
const long long LINF = 1e18;
const int MAX = 510000;
 
//出力系
#define print(x) cout << x << endl
#define prints(x) cout << fixed << setprecision(20) << x << endl
#define printc(x) cout << setw(2) << setfill('0') << x << endl;
#define yes cout << "Yes" << endl
#define YES cout << "YES" << endl
#define no cout << "No" << endl
#define NO cout << "NO" << endl
 
// begin() end()
#define all(x) (x).begin(),(x).end()
 
//for
#define REP(i,n) for(int i=0, i##_len=(n); i<i##_len; ++i)
#define rrep(i,a,b) for(int i=(a);i>(b);i--)
#define rep(i,a,b) for(int i=(a);i<(b);i++)
 
//最大公約数 
unsigned gcd(unsigned a, unsigned b) {
  if(a < b) return gcd(b, a);
  unsigned r;
  while ((r=a%b)) {
    a = b;
    b = r;
  }
  return b;
}
 
// 最小公倍数
unsigned lcm(unsigned a, unsigned b){
    return a / gcd(a, b) * b; 
}
 
// a = max(a, b), a = min(a, b)
template<class T> inline bool chmax(T& a, T b) { if (a < b) { a = b; return 1; } return 0; }
template<class T> inline bool chmin(T& a, T b) { if (a > b) { a = b; return 1; } return 0; }
 
// 階乗(MODをとる)
ll pow_mod(ll num, ll pow, ll mod) {
    ll prod = 1;
    num %= mod;
    while (pow > 0) {
        if (pow & 1) prod = prod * num % mod;
        num = num * num % mod;
        pow >>= 1;
    }
    return prod;
}
 
 
 
// 二項係数(MODとる、1 ≦ k ≦ n ≦ 10^7 程度)
// COMinit()
// COM(x, y)
// とコンビで使う
 
// テーブルを作る前処理
long long fac[MAX], finv[MAX], inv[MAX];
void COMinit() {
    fac[0] = fac[1] = 1;
    finv[0] = finv[1] = 1;
    inv[1] = 1;
    for (int i = 2; i < MAX; i++){
        fac[i] = fac[i - 1] * i % MOD;
        inv[i] = MOD - inv[MOD%i] * (MOD / i) % MOD;
        finv[i] = finv[i - 1] * inv[i] % MOD;
    }
}
 
// 二項係数計算
long long COM(int n, int k){
    if (n < k) return 0;
    if (n < 0 || k < 0) return 0;
    return fac[n] * (finv[k] * finv[n - k] % MOD) % MOD;
}
 
//int dx[4] = {0, 0, 1, -1}, dy[4] = {1, -1, 0, 0};
 
 
// UnionFind
struct UnionFind {
    vector<int> par;
    vector<int> rank;
    vector<ll> Size;
    UnionFind(int n = 1) {
        init(n);
    }
 
    void init(int n = 1) {
        par.resize(n + 1); rank.resize(n + 1); Size.resize(n + 1);
        for (int i = 0; i <= n; ++i) par[i] = i, rank[i] = 0, Size[i] = 1;
    }
 
    int root(int x) {
        if (par[x] == x) {
            return x;
        }
        else {
            int r = root(par[x]);
            return par[x] = r;
        }
    }
 
    bool issame(int x, int y) {
        return root(x) == root(y);
    }
 
    bool merge(int x, int y) {
        x = root(x); y = root(y);
        if (x == y) return false;
        if (rank[x] < rank[y]) swap(x, y);
        if (rank[x] == rank[y]) ++rank[x];
        par[y] = x;
        Size[x] += Size[y];
        return true;
    }
 
    ll size(int x){
        return Size[root(x)];
    }
};

 
//modint構造体 
struct Mint {
    int val;
    Mint inv() const{
        int tmp,a=val,b=mod,x=1,y=0;
        while(b)tmp=a/b,a-=tmp*b,swap(a,b),x-=tmp*y,swap(x,y);
        return Mint(x);
    }
public:
    Mint():val(0){}
    Mint(ll x){if((val=x%mod)<0)val+=mod;}
    Mint pow(ll t){Mint res=1,b=*this; while(t){if(t&1)res*=b;b*=b;t>>=1;}return res;}
    Mint& operator+=(const Mint& x){if((val+=x.val)>=mod)val-=mod;return *this;}
    Mint& operator-=(const Mint& x){if((val+=mod-x.val)>=mod)val-=mod; return *this;}
    Mint& operator*=(const Mint& x){val=(ll)val*x.val%mod; return *this;}
    Mint& operator/=(const Mint& x){return *this*=x.inv();}
    bool operator==(const Mint& x) const{return val==x.val;}
    bool operator!=(const Mint& x) const{return val!=x.val;}
    bool operator<(const Mint& x) const{return val<x.val;}
    bool operator<=(const Mint& x) const{return val<=x.val;}
    bool operator>(const Mint& x) const{return val>x.val;}
    bool operator>=(const Mint& x) const{return val>=x.val;}
    Mint operator+(const Mint& x) const{return Mint(*this)+=x;}
    Mint operator-(const Mint& x) const{return Mint(*this)-=x;}
    Mint operator*(const Mint& x) const{return Mint(*this)*=x;}
    Mint operator/(const Mint& x) const{return Mint(*this)/=x;}
};
struct factorial {
    vector<Mint> Fact, Finv;
public:
   //factorial fact(10000010);
   //fact.nCr(a, b)
  //「fact」の部分は自由に名前変更可能
    factorial(int maxx){
        Fact.resize(maxx+1),Finv.resize(maxx+1); Fact[0]=Mint(1); rep(i,0,maxx)Fact[i+1]=Fact[i]*(i+1);
        Finv[maxx]=Mint(1)/Fact[maxx]; rrep(i,maxx,0)Finv[i-1]=Finv[i]*i;
    }
    Mint fact(int n,bool inv=0){if(inv)return Finv[n];else return Fact[n];}
    Mint nPr(int n,int r){if(n<0||n<r||r<0)return Mint(0);else return Fact[n]*Finv[n-r];}
    Mint nCr(int n,int r){if(n<0||n<r||r<0)return Mint(0);else return Fact[n]*Finv[r]*Finv[n-r];}
};


// 1 * 2 * 3 .... * n (mod)
ll modfact(ll n) { 
    if (n <= 1) return 1;
    return (n * modfact(n - 1)) % MOD;
}


const double PI = acos(-1);

// kが角度だった場合:cos(k * (PI / 180));


vector<pair<ll, ll>>efac(long long nt){
    vector<pair<ll, ll>> res;
    for(ll i = 2; i * i <= nt; i++){
        if(nt % i != 0) continue;
        int cnt = 0;
        while(nt % i == 0){
            cnt++;
            nt /= i;
        }  
        res.push_back({i, cnt});
    }
    if(nt != 1) res.push_back({1, nt});
    return res;
}

vector<ll, ll>sisuu;
int n;

ll rec(map<ll, ll>::iterator p, long long nn){
    if(p == sisuu.end()){
        if(nn == 1) return 1;
        else return 0;
    }
    ll res = 0;
    for(int i = 0; i <= p->second; i++){ // 変える
        if(nn % (i + 1) != 0) continue;
        res += rec(p + 1, nn / i + 1);       
    }
    return res;
}


int main(){
cin >> n;
    for(int i = 2; i <= n; i++){
        auto p = efac(i);
        for(auto x : p) sisuu[x.first] += x.second;
    }
    cout << rec(sisuu.begin(), 75) << endl;
    return 0;
}


Compiler output:
In file included from /usr/include/c++/14/vector:66,
                 from /usr/include/c++/14/functional:64,
                 from /usr/include/x86_64-linux-gnu/c++/14/bits/stdc++.h:53,
                 from a.cc:1:
/usr/include/c++/14/bits/stl_vector.h: In instantiation of 'struct std::_Vector_base<long long int, long long int>':
/usr/include/c++/14/bits/stl_vector.h:428:11:   required from 'class std::vector<long long int, long long int>'
  428 |     class vector : protected _Vector_base<_Tp, _Alloc>
      |           ^~~~~~
a.cc:212:15:   required from here
  212 | vector<ll, ll>sisuu;
      |               ^~~~~
/usr/include/c++/14/bits/stl_vector.h:87:28: error: 'long long int' is not a class, struct, or union type
   87 |         rebind<_Tp>::other _Tp_alloc_type;
      |                            ^~~~~~~~~~~~~~
/usr/include/c++/14/bits/stl_vector.h:89:9: error: 'long long int' is not a class, struct, or union type
   89 |         pointer;
      |         ^~~~~~~
/usr/include/c++/14/bits/stl_vector.h: In instantiation of 'class std::vector<long long int, long long int>':
a.cc:212:15:   required from here
  212 | vector<ll, ll>sisuu;
      |               ^~~~~
/usr/include/c++/14/bits/stl_vector.h:518:20: error: '_M_allocate' has not been declared in 'std::vector<long long int, long long int>::_Base'
  518 |       using _Base::_M_allocate;
      |                    ^~~~~~~~~~~
/usr/include/c++/14/bits/stl_vector.h:519:20: error: '_M_deallocate' has not been declared in 'std::vector<long long int, long long int>::_Base'
  519 |       using _Base::_M_deallocate;
      |                    ^~~~~~~~~~~~~
/usr/include/c++/14/bits/stl_vector.h:521:20: error: '_M_get_Tp_allocator' has not been declared in 'std::vector<long long int, long long int>::_Base'
  521 |       using _Base::_M_get_Tp_allocator;
      |                    ^~~~~~~~~~~~~~~~~~~
In file included from /usr/include/c++/14/cassert:43,
                 from /usr/include/x86_64-linux-gnu/c++/14/bits/stdc++.h:33:
/usr/include/c++/14/bits/stl_vector.h: In instantiation of 'std::_Vector_base<_Tp, _Alloc>::_Vector_impl::_Vector_impl() [with _Tp = long long int; _Alloc = long long int]':
a.cc:212:15:   required from here
  212 | vector<ll, ll>sisuu;
      |               ^~~~~
/usr/include/c++/14/bits/stl_vector.h:136:24: error: 'long long int' is not a class, struct, or union type
  136 |         _Vector_impl() _GLIBCXX_NOEXCEPT_IF(
      |                        ^~~~~~~~~~~~~~~~~~~~
a.cc: In function 'll rec(std::map<long long int, long long int>::iterator, long long int)':
a.cc:216:19: error: 'class std::vector<long long int, long long int>' has no member named 'end'
  216 |     if(p == sisuu.end()){
      |                   ^~~
a.cc:223:22: error: no match for 'operator+' (operand types are 'std::map<long long int, long long int>::iterator' {aka 'std::_Rb_tree<long long int, std::pair<const long long int, long long int>, std::_Select1st<std::pair<const long long int, long long int> >, std::less<long long int>, std::allocator<std::pair<const long long int, long long int> > >::iterator'} and 'int')
  223 |         res += rec(p + 1, nn / i + 1);
      |                    ~ ^ ~
      |                    |   |
      |                    |   int
      |                    std::map<long long int, long long int>::iterator {aka std::_Rb_tree<long long int, std::pair<const long long int, long long int>, std::_Select1st<std::pair<const long long int, long long int> >, std::less<long long int>, std::allocator<std::pair<const long long int, long long int> > >::iterator}
In file included from /usr/include/c++/14/bits/stl_algobase.h:67,
                 from /usr/include/c++/14/algorithm:60,
                 from /usr/include/x86_64-linux-gnu/c++/14/bits/stdc++.h:51:
/usr/include/c++/14/bits/stl_iterator.h:627:5: note: candidate: 'template<class _Iterator> constexpr std::reverse_iterator<_Iterator> std::operator+(typename reverse_iterator<_Iterator>::difference_type, const reverse_iterator<_Iterator>&)'
  627 |     operator+(typename reverse_iterator<_Iterator>::difference_type __n,
      |     ^~~~~~~~
/usr/include/c++/14/bits/stl_iterator.h:627:5: note:   template argument deduction/substitution failed:
a.cc:223:24: note:   mismatched types 'const std::reverse_iterator<_Iterator>' and 'int'
  223 |         res += rec(p + 1, nn / i + 1);
      |                        ^
/usr/include/c++/14/bits/stl_iterator.h:1798:5: note: candidate: 'template<class _Iterator> constexpr std::move_iterator<_IteratorL> std::operator+(typename move_iterator<_IteratorL>::difference_type, const move_iterator<_IteratorL>&)'
 1798 |     operator+(typename move_iterator<_Iterator>::difference_type __n,
      |     ^~~~~~~~
/usr/include/c++/14/bits/stl_iterator.h:1798:5: note:   template argument deduction/substitution failed:
a.cc:223:24: note:   mismatched types 'const std::move_iterator<_IteratorL>' and 'int'
  223 |         res += rec(p + 1, nn / i + 1);
      |                        ^
In file included from /usr/include/c++/14/string:54,
                 from /usr/include/c++/14/bitset:52,
                 from /usr/include/x86_64-linux-gnu/c++/14/bits/stdc++.h:52:
/usr/include/c++/14/bits/basic_string.h:3598:5: note: candidate: 'template<class _CharT, class _Traits, class _Alloc> std::__cxx11::basic_string<_CharT, _Traits, _Allocator> std::operator+(const __cxx11::basic_string<_CharT, _Traits, _Allocator>&, const __cxx11::basic_string<_CharT, _Traits, _Allocator>&)'
 3598 |     operator+(const basic_string<_CharT, _Traits, _Alloc>& __lhs,
      |     ^~~~~~~~
/usr/include/c++/14/bits/basic_string.h:3598:5: note:   template argument deduction/substitution failed:
a.cc:223:24: note:   'std::map<long long int, long long int>::iterator' {aka 'std::_Rb_tree<long long int, std::pair<const long long int, long long int>, std::_Select1st<std::pair<const long long int, long long int> >, std::less<long long int>, std::allocator<std::pair<const long long int, long long int> > >::iterator'} is not derived from 'const std::__cxx11::basic_string<_CharT, _Traits, _Allocator>'
  223 |         res += rec(p + 1, nn / i + 1);
      |                        ^
/usr/include/c++/14/bits/basic_string.h:3616:5: note: candidate: 'template<class _CharT, class _Traits, class _Alloc> std::__cxx11::basic_string<_CharT, _Traits, _Allocator> std::operator+(const _CharT*, const __cxx11::basic_string<_CharT, _Traits, _Allocator>&)'
 3616 |     operator+(const _CharT* __lhs,
      |     ^~~~~~~~
/usr/include/c++/14/bits/basic_string.h:3616:5: note:   template argument deduction/substitution failed:
a.cc:223:24: note:   mismatched types 'const _CharT*' and 'std::_Rb_tree_iterator<std::pair<const long long int, long long int> >'
  223 |         res += rec(p + 1, nn / i + 1);
      |                        ^
/usr/include/c++/14/bits/basic_string.h:3635:5: note: candidate: 'template<class _CharT, class _Traits, class _Alloc> std::__cxx11::basic_string<_CharT, _Traits, _Allocator> std::operator+(_CharT, const __cxx11::basic_string<_CharT, _Traits, _Allocator>&)'
 3635 |     operator+(_CharT __lhs, const basic_string<_CharT,_Traits,_Alloc>& __rhs)
      |     ^~~~~~~~
/usr/include/c++/14/bits/basic_string.h:3635:5: note:   template argument deduction/substitution failed:
a.cc:223:24: note:   mismatched types 'const std::__cxx11::basic_string<_CharT, _Traits, _Allocator>' and 'int'
  223 |         res += rec(p + 1, nn / i + 1);
      |                        ^
/usr/include/c++/14/bits/basic_string.h:3652:5: note: candidate: 'template<class _CharT, class _Traits, class _Alloc> std::__cxx11::basic_string<_CharT, _Traits, _Allocator> std::operator+(const __cxx11::basic_string<_CharT, _Traits, _Allocator>&, const _CharT*)'
 3652 |     operator+(const basic_string<_CharT, _Traits, _Alloc>& __lhs,
      |     ^~~~~~~~
/usr/include/c++/14/bits/basic_string.h:3652:5: note:   template argument deduction/substitution failed:
a.cc:223:24: note:   'std::map<long long int, long long int>::iterator' {aka 'std::_Rb_tree<long long int, std::pair<const long long int, long long int>, std::_Select1st<std::pair<const long long int, long long int> >, std::less<long long int>, std::allocator<std::pair<const long long int, long long int> > >::iterator'} is not derived from 'const std::__cxx11::basic_string<_CharT, _Traits, _Allocator>'
  223 |         res += rec(p + 1, nn / i + 1);
      |                        ^
/usr/include/c++/14/bits/basic_string.h:3670:5: note: candidate: 'template<class _CharT, class _Traits, class _Alloc> std::__cxx11::basic_string<_CharT, _Traits, _Allocator> std::operator+(const __cxx11::basic_string<_CharT, _Traits, _Allocator>&, _CharT)'
 3670 |     operator+(const basic_string<_CharT, _Traits, _Alloc>& __lhs, _CharT __rhs)
      |     ^~~~~~~~
/usr/include/c++/14/bits/basic_string.h:3670:5: note:   template argument deduction/substitution failed:
a.cc:223:24: note:   'std::map<long long int, long long int>::iterator' {aka 'std::_Rb_tree<long long int, std::pair<const long long int, long long int>, std::_Select1st<std::pair<const long long int, long long int> >, std::less<long long int>, std::allocator<std::pair<const long long int, long long int> > >::iterator'} is not derived from 'const std::__cxx11::basic_string<_CharT, _Traits, _Allocator>'
  223 |         res += rec(p + 1, nn / i + 1);
      |                        ^
/usr/include/c++/14/bits/basic_string.h:3682:5: note: candidate: 'template<class _CharT, class _Traits, class _Alloc> std::__cxx11::basic_string<_CharT, _Traits, _Allocator> std::operator+(__cxx11::basic_string<_CharT, _Traits, _Allocator>&&, const __cxx11::basic_string<_CharT, _Traits, _Allocator>&)'
 3682 |     operator+(basic_string<_CharT, _Traits, _Alloc>&& __lhs,
      |     ^~~~~~~~
/usr/include/c++/14/bits/basic_string.h:3682:5: note:   template argument deduction/substitution failed:
a.cc:223:24: note:   'std::map<long long int, long long int>::iterator' {aka 'std::_Rb_tree<long long int, std::pair<const long long int, long long int>, std::_Select1st<std::pair<const long long int, long long int> >, std::less<long long int>, std::allocator<std::pair<const long long int, long long int> > >::iterator'} is not derived fro