#include <bits/stdc++.h>
using namespace std;
#define PII pair<int, int>
#define VI vector<int>
#define VPII vector<PII>
#define LL long long
#define LD long double
#define f first
#define s second
#define MP make_pair
#define PB push_back
#define ALL(c) (c).begin(), (c).end()
#define SIZ(c) (int)(c).size()
#define REP(i, n) for(int i = 0; i < (int)(n); ++i)
#define FOR(i, b, e) for(int i = (b); i <= (int)(e); ++i)
#define FORD(i, b, e) for(int i = (b); i >= (int)(e); --i)
#define Sim template<class n
Sim, class s> ostream & operator << (ostream &p, pair<n, s> x)
{return p << "<" << x.st << ", " << x.nd << ">";}
Sim> auto operator << (ostream &p, n y) ->
typename enable_if<!is_same<n, string>::value, decltype(y.begin(), p)>::type
{int o = 0; p << "{"; for(auto c: y) {if(o++) p << ", "; p << c;} return p << "}";}
void dor() {cerr << endl;}
Sim, class...s> void dor(n p, s...y) {cerr << p << " "; dor(y...);}
Sim, class s> void mini(n &p, s y) {if(p>y) p = y;}
Sim, class s> void maxi(n &p, s y) {if(p<y) p = y;}
#ifdef DEB
#define debug(...) dor(__FUNCTION__, ":", __LINE__, ": ", __VA_ARGS__)
#else
#define debug(...)
#endif
#define I(x) #x " = ", (x), " "
#define A(a, i) #a "[" #i " = ", i, "] = ", a[i], " "
int n;
int result;
void check(int d, int n)
{
int r = n / d;
// na ile sposóbów można wybrać 1, x, x*y, tak, że 1 + x + x*y = r : x, y > 1
// odpowiada to wzięciu do wyniku trójki d, dx, dxy
auto check2 = [&](int x)
{
int y = (r-1) / x - 1;
result += y > 1;
return;
};
for(int x = 2; x * x <= r-1; x++)
{
if((r-1) % x == 0)
{
check2(x);
if((r-1) / x != x)check2((r-1)/x);
}
}
}
int main()
{
cin >> n;
for(int i = 1; i * i <= n; i++)
{
if(n % i == 0)
{
check(i, n);
if(n/i != i)check(n/i, n);
}
}
cout << result << endl;
}
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 | #include <bits/stdc++.h> using namespace std; #define PII pair<int, int> #define VI vector<int> #define VPII vector<PII> #define LL long long #define LD long double #define f first #define s second #define MP make_pair #define PB push_back #define ALL(c) (c).begin(), (c).end() #define SIZ(c) (int)(c).size() #define REP(i, n) for(int i = 0; i < (int)(n); ++i) #define FOR(i, b, e) for(int i = (b); i <= (int)(e); ++i) #define FORD(i, b, e) for(int i = (b); i >= (int)(e); --i) #define Sim template<class n Sim, class s> ostream & operator << (ostream &p, pair<n, s> x) {return p << "<" << x.st << ", " << x.nd << ">";} Sim> auto operator << (ostream &p, n y) -> typename enable_if<!is_same<n, string>::value, decltype(y.begin(), p)>::type {int o = 0; p << "{"; for(auto c: y) {if(o++) p << ", "; p << c;} return p << "}";} void dor() {cerr << endl;} Sim, class...s> void dor(n p, s...y) {cerr << p << " "; dor(y...);} Sim, class s> void mini(n &p, s y) {if(p>y) p = y;} Sim, class s> void maxi(n &p, s y) {if(p<y) p = y;} #ifdef DEB #define debug(...) dor(__FUNCTION__, ":", __LINE__, ": ", __VA_ARGS__) #else #define debug(...) #endif #define I(x) #x " = ", (x), " " #define A(a, i) #a "[" #i " = ", i, "] = ", a[i], " " int n; int result; void check(int d, int n) { int r = n / d; // na ile sposóbów można wybrać 1, x, x*y, tak, że 1 + x + x*y = r : x, y > 1 // odpowiada to wzięciu do wyniku trójki d, dx, dxy auto check2 = [&](int x) { int y = (r-1) / x - 1; result += y > 1; return; }; for(int x = 2; x * x <= r-1; x++) { if((r-1) % x == 0) { check2(x); if((r-1) / x != x)check2((r-1)/x); } } } int main() { cin >> n; for(int i = 1; i * i <= n; i++) { if(n % i == 0) { check(i, n); if(n/i != i)check(n/i, n); } } cout << result << endl; } |
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