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IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#87343#5676. Counting Pythagorean Triplessinbad#WA 3ms3412kbC++4.9kb2023-03-12 16:49:292023-03-12 16:49:32

Judging History

你现在查看的是最新测评结果

  • [2023-08-10 23:21:45]
  • System Update: QOJ starts to keep a history of the judgings of all the submissions.
  • [2023-03-12 16:49:32]
  • 评测
  • 测评结果:WA
  • 用时:3ms
  • 内存:3412kb
  • [2023-03-12 16:49:29]
  • 提交

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

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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'