結果
| 問題 |
No.3301 Make Right Triangle
|
| ユーザー |
 coindarw
|
| 提出日時 | 2025-10-05 15:27:16 |
| 言語 | C++23 (gcc 13.3.0 + boost 1.87.0) |
| 結果 |
TLE
|
| 実行時間 | - |
| コード長 | 8,073 bytes |
| コンパイル時間 | 4,779 ms |
| コンパイル使用メモリ | 338,408 KB |
| 実行使用メモリ | 15,944 KB |
| 最終ジャッジ日時 | 2025-10-05 15:27:55 |
| 合計ジャッジ時間 | 9,424 ms |
|
ジャッジサーバーID （参考情報） |
judge3 / judge5 |
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| ファイルパターン | 結果 |
|---|---|
| sample | -- * 1 |
| other | AC * 1 TLE * 1 -- * 7 |
ソースコード
#include <bits/stdc++.h>
#include <atcoder/all>
#pragma GCC target("avx2")
#pragma GCC optimize("O3")
#pragma GCC optimize("unroll-loops")
using ll = long long;
using lll = __int128_t;
#define rep(i, n) for (int i = 0, i##_len = (n); i < i##_len; ++i)
#define reps(i, n) for (int i = 1, i##_len = (n); i <= i##_len; ++i)
#define rrep(i, n) for (int i = ((int)(n) - 1); i >= 0; --i)
#define rreps(i, n) for (int i = ((int)(n)); i > 0; --i)
#define rep2(i, s, n) for (int i = (s); i < (int)(n); i++)
#define repc2(i, s, n) for (int i = (s); i <= (int)(n); i++)
#define length(v) ((int)(v).size())
constexpr int inf = 2'000'000'000;
constexpr ll linf = 4'000'000'000'000'000'000, M7 = 1'000'000'007, M9 = 998'244'353;
#define all(v) begin(v), end(v)
#define rall(v) rbegin(v), rend(v)
using namespace std;
using namespace atcoder;
// clang-format off
using vint = vector<int>;using vvint = vector<vector<int>>;using vvvint = vector<vector<vector<int>>>;
using vll = vector<ll>;using vvll = vector<vector<ll>>;using vvvll = vector<vector<vector<ll>>>;
using vlll = vector<lll>;using vvlll = vector<vector<lll>>;using vvvlll = vector<vector<vector<lll>>>;
using vchar = vector<char>;using vvchar = vector<vector<char>>;using vvvchar = vector<vector<vector<char>>>;
using vstr = vector<string>;using vvstr = vector<vector<string>>;using vvvstr = vector<vector<vector<string>>>;
using vpi = vector<pair<int, int>>;using vvpi = vector<vector<pair<int, int>>>;using vvpint = vector<vector<pair<int, int>>>;
using vpl = vector<pair<ll, ll>>;using vvpl = vector<vector<pair<ll, ll>>>;using vvplint = vector<vector<pair<ll, int>>>;
using vbool = vector<bool>;using vvbool = vector<vector<bool>>;using vvvbool = vector<vector<vector<bool>>>;
#define Vec(type, ...) __make_vec<type>(__VA_ARGS__)
template <class T> vector<T> __make_vec(size_t a) {return vector<T>(a);}template <class T, class... Ts>
auto __make_vec(size_t a, Ts... ts) {return vector<decltype(__make_vec<T>(ts...))>(a, __make_vec<T>(ts...));}
#define VecI(init, type, ...) __make_vecI<type, init>(__VA_ARGS__)
template <class T, T init>vector<T> __make_vecI(size_t a) {return vector<T>(a, init);}
template <class T, T init, class... Ts>
auto __make_vecI(size_t a, Ts... ts) {return vector<decltype(__make_vecI<T, init>(ts...))>(a, __make_vecI<T, init>(ts...));}
template <typename T, typename U>inline ostream& operator<<(ostream& os, const pair<T, U>& p) noexcept {return os << p.first << " " << p.second;}
inline ostream& operator<<(ostream& os, const modint& m) noexcept { return os << m.val(); }
template <int M>inline ostream& operator<<(ostream& os, const static_modint<M>& m) noexcept { return os << m.val(); }
template <typename T> struct is_static_modint : std::false_type {}; template <int MOD> struct is_static_modint<static_modint<MOD>> : std::true_type {};
template <template <typename...> typename C, typename Number>concept MyContainer = std::is_same_v<C<Number>, std::vector<Number>> || std::is_same_v<C<Number>, std::deque<Number>> || std::is_same_v<C<Number>, std::set<Number>> || std::is_same_v<C<Number>, std::unordered_set<Number>> || std::is_same_v<C<Number>, std::unordered_multiset<Number>> || std::is_same_v<C<Number>, std::multiset<Number>>;
template <typename Number>concept MyNumber = std::is_same_v<Number, int> || std::is_same_v<Number, ll> || std::is_same_v<Number, char> || std::is_same_v<Number, modint> || is_static_modint<Number>::value;
template <template <typename...> typename C, typename Number>concept MyContainerNumber = MyContainer<C, Number> && MyNumber<Number>;
template <template <typename...> typename OutCon, template <typename...> typename InCon, typename Number>concept MyNestedContainerNumber = MyContainer<OutCon, InCon<Number>> && MyContainerNumber<InCon, Number>;
template <template <typename...> typename C, typename Number>requires MyContainerNumber<C, Number>std::ostream& operator<<(std::ostream& os, const C<Number>& t) {auto itr = t.begin();auto end = t.end();if (itr != end) {os << *itr++;for (; itr != end; ++itr) os << ' ' << *itr;}return os;}
template <template <typename...> typename OutCon, template <typename...> typename InCon, typename Number>requires MyNestedContainerNumber<OutCon, InCon, Number>std::ostream& operator<<(std::ostream& os, const OutCon<InCon<Number>>& t) {auto itr = t.begin();auto end = t.end();if (itr != end) {os << *itr++;for (; itr != end; ++itr) os << '\n' << *itr;}return os;}
template <typename T, typename U>istream& operator>>(istream& is, pair<T, U>& p) {return is >> p.first >> p.second;}
template <typename T>istream& operator>>(istream& is, vector<T>& v) {for (auto& e : v) is >> e;return is;}
void inp() {}
template <typename T, typename... Args>void inp(T& a, Args&... args) {cin >> a, inp(args...);}
template <typename T>void inp1(vector<T>& v, int offset = 1, int len = -1) {if (len == -1) len = int(v.size()) - offset;assert(offset >= 0 && len >= 0);for (int i = offset; i < offset + len; ++i) cin >> v[i];}
template <typename T>void oup(const T& a) {cout << a << "\n";}
template <typename T, typename... Args>void oup(const T& a, const Args&... args) {cout << a << " ", oup(args...);}
inline string YesNo(bool cond) { return cond ? "Yes" : "No"; }
inline auto add1(auto vec, ll offset = 1) {for (auto& e : vec) e += offset;return vec;}
#ifdef ONLINE_JUDGE
#define debug(...)
#else
#define debug(...) cerr << "<" << #__VA_ARGS__ << ">: ", debug_out(__VA_ARGS__)
template <typename T>void debug_out(T t) {cerr << t << "\n";}
template <typename T, typename... Args>void debug_out(T t, Args... args) {cerr << t << ", ";debug_out(args...);}
#endif
#ifdef ONLINE_JUDGE
#define todo(...) static_assert(false)
#else
#define todo(...)
#endif
// clang-format on
vector<ll> divisor(ll n) {
vector<ll> res;
for (ll i = 1; i * i <= n; i++) {
if (n % i == 0) {
res.push_back(i);
if (n / i != i) res.push_back(n / i);
}
}
sort(res.begin(), res.end());
return res;
}
bool isSq(ll x) {
ll y = sqrtl(x);
return y * y == x;
}
using T = tuple<ll, ll, ll>;
T solve1(ll l) {
reps(i, sqrt(l)) {
ll x = i;
ll Y = l - x * x;
if (Y <= 0) continue;
ll y = sqrtl(Y);
if (y * y == Y) {
if (x > y) swap(x, y);
// x <= y
ll a = 2 * x * y;
ll b = x * x - y * y;
if (b < 0) b = -b;
if (a > b) swap(a, b);
if (a == 0) continue;
return {a, b, l};
break;
}
}
return {-1, -1, -1};
}
T solve2(ll l) {
if (l % 2 == 1) return {-1, -1, -1};
auto div = divisor(l / 2);
for (ll x : div) {
ll y = (l / 2) / x;
ll a = x * x - y * y;
if (a == 0) continue;
if (a < 0) a = -a;
ll b = l;
ll c = sqrtl(a * a + b * b);
if (a * a + b * b == c * c) return {a, b, c};
}
return {-1, -1, -1};
}
T solve3(ll l) {
auto div = divisor(l);
for (ll x : div) {
ll y = l / x;
// x = p-q;
// y = p+q;
if (x > y) swap(x, y);
ll p = (x + y) / 2;
ll q = (y - x) / 2;
if (p < 0 || q < 0) continue;
ll a = 2 * p * q;
ll c = p * p + q * q;
if (a * a + l * l == c * c) return {a, l, c};
}
return {-1, -1, -1};
}
#pragma GCC diagnostic push
#pragma GCC diagnostic error "-Wshadow"
int main() {
ios_base::sync_with_stdio(false);
cin.tie(NULL);
int Q;
inp(Q);
while (Q--) {
ll l;
inp(l);
// auto div = divisor(l);
debug(l);
auto [a1, b1, c1] = solve2(l);
if (a1 == -1) {
auto [a2, b2, c2] = solve3(l);
if (a2 == -1) {
auto [a3, b3, c3] = solve1(l);
if (a3 == -1) {
oup(-1, -1, -1);
} else {
oup(a3, b3, c3);
}
} else {
oup(a2, b2, c2);
}
} else {
oup(a1, b1, c1);
}
}
}
#pragma GCC diagnostic pop