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QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#87343 | #5676. Counting Pythagorean Triples | sinbad# | WA | 3ms | 3412kb | C++ | 4.9kb | 2023-03-12 16:49:29 | 2023-03-12 16:49:32 |
Judging History
answer
// #define LOCAL
#define _USE_MATH_DEFINES
#include <array>
#include <cassert>
#include <cstdio>
#include <cstring>
#include <iostream>
#include <iomanip>
#include <string>
#include <sstream>
#include <vector>
#include <queue>
#include <stack>
#include <list>
#include <set>
#include <map>
#include <unordered_set>
#include <unordered_map>
#include <algorithm>
#include <complex>
#include <cmath>
#include <numeric>
#include <bitset>
#include <functional>
#include <random>
#include <ctime>
using namespace std;
template <typename A, typename B>
ostream& operator <<(ostream& out, const pair<A, B>& a) {
out << "(" << a.first << "," << a.second << ")";
return out;
}
template <typename T, size_t N>
ostream& operator <<(ostream& out, const array<T, N>& a) {
out << "["; bool first = true;
for (auto& v : a) { out << (first ? "" : ", "); out << v; first = 0;} out << "]";
return out;
}
template <typename T>
ostream& operator <<(ostream& out, const vector<T>& a) {
out << "["; bool first = true;
for (auto v : a) { out << (first ? "" : ", "); out << v; first = 0;} out << "]";
return out;
}
template <typename T, class Cmp>
ostream& operator <<(ostream& out, const set<T, Cmp>& a) {
out << "{"; bool first = true;
for (auto& v : a) { out << (first ? "" : ", "); out << v; first = 0;} out << "}";
return out;
}
template <typename T, class Cmp>
ostream& operator <<(ostream& out, const multiset<T, Cmp>& a) {
out << "{"; bool first = true;
for (auto& v : a) { out << (first ? "" : ", "); out << v; first = 0;} out << "}";
return out;
}
template <typename U, typename T, class Cmp>
ostream& operator <<(ostream& out, const map<U, T, Cmp>& a) {
out << "{"; bool first = true;
for (auto& p : a) { out << (first ? "" : ", "); out << p.first << ":" << p.second; first = 0;} out << "}";
return out;
}
#ifdef LOCAL
#define trace(...) __f(#__VA_ARGS__, __VA_ARGS__)
#else
#define trace(...) 42
#endif
template <typename Arg1>
void __f(const char* name, Arg1&& arg1){
cerr << name << ": " << arg1 << endl;
}
template <typename Arg1, typename... Args>
void __f(const char* names, Arg1&& arg1, Args&&... args){
const char* comma = strchr(names + 1, ',');
cerr.write(names, comma - names) << ": " << arg1 << " |";
__f(comma + 1, args...);
}
template <class T> auto vect(const T& v, int n) { return vector<T>(n, v); }
template <class T, class... D> auto vect(const T& v, int n, D... m) {
return vector<decltype(vect(v, m...))>(n, vect(v, m...));
}
using int64 = long long;
using int128 = __int128_t;
using ii = pair<int, int>;
#define SZ(x) (int)((x).size())
template <typename T> static constexpr T inf = numeric_limits<T>::max() / 2;
const int MOD = 1e9 + 7;
// const int MOD = 998244353;
mt19937_64 mrand(random_device{}());
int64 rnd(int64 x) { return mrand() % x; }
constexpr inline int lg2(int64 x) { return x == 0 ? -1 : sizeof(int64) * 8 - 1 - __builtin_clzll(x); }
constexpr inline int p2ceil(int64 x) { return 1 << (lg2(x - 1) + 1); }
template <class T> void out(const vector<T>& a) { for (int i = 0; i < SZ(a); ++i) cout << a[i] << " \n"[i + 1 == SZ(a)]; }
template <class T> bool ckmin(T& a, const T& b) { return b < a ? a = b, 1 : 0; }
template <class T> bool ckmax(T& a, const T& b) { return a < b ? a = b, 1 : 0; }
template <class T> void dedup(vector<T>& v) { sort(v.begin(), v.end()); v.erase(unique(v.begin(), v.end()), v.end()); }
inline void add_mod(int& x, int y) { x += y; if (x >= MOD) x -= MOD; }
inline void sub_mod(int& x, int y) { x += MOD - y; if (x >= MOD) x -= MOD; }
inline int mod(int x) { return x >= MOD ? x - MOD : x; }
struct fast_ios {
fast_ios() {
cin.tie(nullptr);
ios::sync_with_stdio(false);
cout << fixed << setprecision(10);
};
} fast_ios_;
int main() {
int n;
cin >> n;
vector<int> ret(4);
for (int x = 1; x < n; ++x) {
for (int y = x; y < n; ++y) {
if (x * x + y * y == n * n) {
if (gcd(x, y) == 1) {
ret[0]++;
} else {
ret[1]++;
}
}
}
}
// n = 2 * a * b * k
for (int a = 1; a * a * 2 < n; ++a) {
for (int b = a + 1; 2 * a * b <= n; ++b) {
if (gcd(a, b) > 1) continue;
int cur = 2 * a * b;
if (n == cur) {
trace(a, b, "2*a*b");
++ret[2];
} else if (n % cur == 0) {
++ret[3];
}
}
}
// n = (a^2 - b^2) * k
for (int x = 1; x * x < n; ++x) {
for (int y = x + 1; x * y <= n; ++y) {
if ((x + y) % 2 == 0) {
int a = (x + y) / 2, b = (y - x) / 2;
if (gcd(a, b) == 1) {
if (a % 2 && b % 2) continue;
int cur = a * a - b * b;
if (n == cur) {
trace(a, b, "a^2-b^2");
++ret[2];
} else if (n % cur == 0) {
++ret[3];
}
}
}
}
}
out(ret);
return 0;
}
Details
Tip: Click on the bar to expand more detailed information
Test #1:
score: 100
Accepted
time: 2ms
memory: 3364kb
input:
65
output:
2 2 2 2
result:
ok single line: '2 2 2 2'
Test #2:
score: 0
Accepted
time: 2ms
memory: 3364kb
input:
64
output:
0 0 1 4
result:
ok single line: '0 0 1 4'
Test #3:
score: 0
Accepted
time: 3ms
memory: 3412kb
input:
2023
output:
0 2 2 5
result:
ok single line: '0 2 2 5'
Test #4:
score: -100
Wrong Answer
time: 1ms
memory: 3356kb
input:
1560
output:
0 4 8 72
result:
wrong answer 1st lines differ - expected: '0 4 8 59', found: '0 4 8 72'