結果
問題 | No.1627 三角形の成立 |
ユーザー | haruki_K |
提出日時 | 2021-07-23 23:20:39 |
言語 | C++17 (gcc 12.3.0 + boost 1.83.0) |
結果 |
AC
|
実行時間 | 11 ms / 1,000 ms |
コード長 | 9,068 bytes |
コンパイル時間 | 2,182 ms |
コンパイル使用メモリ | 209,244 KB |
実行使用メモリ | 5,376 KB |
最終ジャッジ日時 | 2024-07-18 21:16:14 |
合計ジャッジ時間 | 3,019 ms |
ジャッジサーバーID (参考情報) |
judge1 / judge4 |
(要ログイン)
テストケース
テストケース表示入力 | 結果 | 実行時間 実行使用メモリ |
---|---|---|
testcase_00 | AC | 2 ms
5,248 KB |
testcase_01 | AC | 1 ms
5,376 KB |
testcase_02 | AC | 2 ms
5,376 KB |
testcase_03 | AC | 2 ms
5,376 KB |
testcase_04 | AC | 2 ms
5,376 KB |
testcase_05 | AC | 11 ms
5,376 KB |
testcase_06 | AC | 8 ms
5,376 KB |
testcase_07 | AC | 8 ms
5,376 KB |
testcase_08 | AC | 9 ms
5,376 KB |
testcase_09 | AC | 5 ms
5,376 KB |
testcase_10 | AC | 11 ms
5,376 KB |
testcase_11 | AC | 8 ms
5,376 KB |
testcase_12 | AC | 9 ms
5,376 KB |
testcase_13 | AC | 4 ms
5,376 KB |
testcase_14 | AC | 10 ms
5,376 KB |
testcase_15 | AC | 8 ms
5,376 KB |
testcase_16 | AC | 3 ms
5,376 KB |
testcase_17 | AC | 10 ms
5,376 KB |
testcase_18 | AC | 8 ms
5,376 KB |
testcase_19 | AC | 2 ms
5,376 KB |
testcase_20 | AC | 1 ms
5,376 KB |
testcase_21 | AC | 2 ms
5,376 KB |
testcase_22 | AC | 2 ms
5,376 KB |
testcase_23 | AC | 2 ms
5,376 KB |
ソースコード
// >>> TEMPLATES #include <bits/stdc++.h> using namespace std; using ll = long long; using ld = long double; using i32 = int32_t; using i64 = int64_t; using u32 = uint32_t; using u64 = uint64_t; #define int ll #define rep(i, n) for (int i = 0; i < (int)(n); i++) #define rep1(i, n) for (int i = 1; i <= (int)(n); i++) #define repR(i, n) for (int i = (int)(n)-1; i >= 0; i--) #define rep1R(i, n) for (int i = (int)(n); i >= 1; i--) #define loop(i, a, B) for (int i = a; i B; i++) #define loopR(i, a, B) for (int i = a; i B; i--) #define all(x) begin(x), end(x) #define allR(x) rbegin(x), rend(x) #define rng(x, l, r) begin(x) + (l), begin(x) + (r) #define pb push_back #define eb emplace_back #define fst first #define snd second template <class A, class B> constexpr auto mp(A &&a, B &&b) { return make_pair(forward<A>(a), forward<B>(b)); } template <class... T> constexpr auto mt(T&&... x) { return make_tuple(forward<T>(x)...); } template <class Int> auto constexpr inf_ = numeric_limits<Int>::max()/2-1; auto constexpr INF32 = inf_<int32_t>; auto constexpr INF64 = inf_<int64_t>; auto constexpr INF = inf_<int>; #ifdef LOCAL #include "debug.hpp" #else #define dump(...) (void)(0) #define say(x) (void)(0) #define debug if (0) #endif template <class T, class Comp> struct pque : priority_queue<T, vector<T>, Comp> { vector<T> &data() { return this->c; } void clear() { this->c.clear(); } }; template <class T> using pque_max = pque<T, less<T>>; template <class T> using pque_min = pque<T, greater<T>>; template <class T, class = typename T::iterator, enable_if_t<!is_same<T, string>::value, int> = 0> ostream& operator<<(ostream& os, T const& a) { bool f = true; for (auto const& x : a) os << (f ? "" : " ") << x, f = false; return os; } template <class T, size_t N, enable_if_t<!is_same<T, char>::value, int> = 0> ostream& operator<<(ostream& os, const T (&a)[N]) { bool f = true; for (auto const& x : a) os << (f ? "" : " ") << x, f = false; return os; } template <class T, class = decltype(begin(declval<T&>())), class = typename enable_if<!is_same<T, string>::value>::type> istream& operator>>(istream& is, T &a) { for (auto& x : a) is >> x; return is; } template <class T, class S> ostream& operator<<(ostream& os, pair<T, S> const& p) { return os << p.first << " " << p.second; } template <class T, class S> istream& operator>>(istream& is, pair<T, S>& p) { return is >> p.first >> p.second; } struct IOSetup { IOSetup() { cin.tie(nullptr); ios::sync_with_stdio(false); cout << fixed << setprecision(15); } } iosetup; template <class F> struct FixPoint : private F { constexpr FixPoint(F&& f) : F(forward<F>(f)) {} template <class... T> constexpr auto operator()(T&&... x) const { return F::operator()(*this, forward<T>(x)...); } }; struct MakeFixPoint { template <class F> constexpr auto operator|(F&& f) const { return FixPoint<F>(forward<F>(f)); } }; #define MFP MakeFixPoint()| #define def(name, ...) auto name = MFP [&](auto &&name, __VA_ARGS__) template <class T, size_t d> struct vec_impl { using type = vector<typename vec_impl<T, d-1>::type>; template <class... U> static type make_v(size_t n, U&&... x) { return type(n, vec_impl<T, d-1>::make_v(forward<U>(x)...)); } }; template <class T> struct vec_impl<T, 0> { using type = T; static type make_v(T const& x = {}) { return x; } }; template <class T, size_t d = 1> using vec = typename vec_impl<T, d>::type; template <class T, size_t d = 1, class... Args> auto make_v(Args&&... args) { return vec_impl<T, d>::make_v(forward<Args>(args)...); } template <class T> void quit(T const& x) { cout << x << endl; exit(0); } template <class T, class U> constexpr bool chmin(T& x, U const& y) { if (x > (T)y) { x = (T)y; return true; } return false; } template <class T, class U> constexpr bool chmax(T& x, U const& y) { if (x < (T)y) { x = (T)y; return true; } return false; } template <class It> constexpr auto sumof(It b, It e) { return accumulate(b, e, typename iterator_traits<It>::value_type{}); } template <class T> int sz(T const& x) { return x.size(); } template <class C, class T> int lbd(C const& v, T const& x) { return lower_bound(begin(v), end(v), x)-begin(v); } template <class C, class T> int ubd(C const& v, T const& x) { return upper_bound(begin(v), end(v), x)-begin(v); } constexpr int64_t mod(int64_t x, int64_t m) { assert(m > 0); return (x %= m) < 0 ? x+m : x; } constexpr int64_t div_floor(int64_t x, int64_t y) { assert(y != 0); return x/y - ((x^y) < 0 and x%y); } constexpr int64_t div_ceil(int64_t x, int64_t y) { assert(y != 0); return x/y + ((x^y) > 0 and x%y); } constexpr int dx[] = { 1, 0, -1, 0, 1, -1, -1, 1 }; constexpr int dy[] = { 0, 1, 0, -1, 1, 1, -1, -1 }; constexpr int popcnt(ll x) { return __builtin_popcountll(x); } mt19937_64 seed_{random_device{}()}; template <class Int> Int rand(Int a, Int b) { return uniform_int_distribution<Int>(a, b)(seed_); } i64 irand(i64 a, i64 b) { return rand<i64>(a, b); } // [a, b] u64 urand(u64 a, u64 b) { return rand<u64>(a, b); } // template <class It> void shuffle(It l, It r) { shuffle(l, r, seed_); } template <class T> vector<T> &operator--(vector<T> &v) { for (T &x : v) --x; return v; } template <class T> vector<T> &operator++(vector<T> &v) { for (T &x : v) ++x; return v; } // <<< // >>> modint template <uint32_t md> class modint { static_assert(md < (1u<<31), ""); using M = modint; using i64 = int64_t; uint32_t x; public: static constexpr uint32_t mod = md; constexpr modint(i64 x = 0) : x((x%=md) < 0 ? x+md : x) { } constexpr i64 val() const { return x; } constexpr explicit operator i64() const { return x; } constexpr bool operator==(M r) const { return x == r.x; } constexpr bool operator!=(M r) const { return x != r.x; } constexpr M operator+() const { return *this; } constexpr M operator-() const { return M()-*this; } constexpr M& operator+=(M r) { x += r.x; x = (x < md ? x : x-md); return *this; } constexpr M& operator-=(M r) { x += md-r.x; x = (x < md ? x : x-md); return *this; } constexpr M& operator*=(M r) { x = (uint64_t(x)*r.x)%md; return *this; } constexpr M& operator/=(M r) { return *this *= r.inv(); } constexpr M operator+(M r) const { return M(*this) += r; } constexpr M operator-(M r) const { return M(*this) -= r; } constexpr M operator*(M r) const { return M(*this) *= r; } constexpr M operator/(M r) const { return M(*this) /= r; } friend constexpr M operator+(i64 x, M y) { return M(x)+y; } friend constexpr M operator-(i64 x, M y) { return M(x)-y; } friend constexpr M operator*(i64 x, M y) { return M(x)*y; } friend constexpr M operator/(i64 x, M y) { return M(x)/y; } constexpr M inv() const { assert(x > 0); return pow(md-2); } constexpr M pow(i64 n) const { assert(not (x == 0 and n == 0)); if (n < 0) return inv().pow(-n); M v = *this, r = 1; for (; n > 0; n >>= 1, v *= v) if (n&1) r *= v; return r; } #ifdef LOCAL friend string to_s(M r) { return to_s(r.val(), mod); } #endif friend ostream& operator<<(ostream& os, M r) { return os << r.val(); } friend istream& operator>>(istream& is, M &r) { i64 x; is >> x; r = x; return is; } }; // <<< //constexpr int64_t MOD = 998244353; constexpr int64_t MOD = 1e9+7; using mint = modint<MOD>; mint sign(int n) { return n & 1 ? -1 : +1; } // >>> mod table template <class mint> struct ModTable { vector<mint> fact, finv; void calc(int n) { int old = fact.size(); if (n < old) return; n += 1000; fact.resize(n+1); finv.resize(n+1); if (old == 0) { fact[0] = fact[1] = finv[0] = finv[1] = 1; old = 2; } for (auto i = old; i <= n; i++) fact[i] = fact[i-1] * i; finv[n] = mint(1) / fact[n]; for (auto i = n-1; i >= old; i--) finv[i] = finv[i+1] * (i+1); } }; ModTable<mint> mod_tab; mint fact(int n) { assert(0 <= n); return mod_tab.calc(n), mod_tab.fact[n]; } mint finv(int n) { assert(0 <= n); return mod_tab.calc(n), mod_tab.finv[n]; } mint comb(int n, int k) { if (n < 0 || k < 0 || n < k) return 0; mod_tab.calc(n); return mod_tab.fact[n] * mod_tab.finv[k] * mod_tab.finv[n-k]; } mint perm(int n, int k) { assert(k >= 0); assert(n >= k); mod_tab.calc(n); return mod_tab.fact[n] * mod_tab.finv[n-k]; } // <<< int32_t main() { int n, m; cin >> n >> m; mint ans = 0; auto C3 = [](mint N) { return N*(N-1)*(N-2)/6; }; ans += C3(n*m); ans -= C3(n)*m + C3(m)*n; dump(ans); const int M = max(n, m) + 5; vector<mint> a(M + 1); rep1 (i, M) { int x = (n-1)/i, y = (m-1)/i; mint A = x*n-i*x*(x+1)/2; mint B = y*m-i*y*(y+1)/2; a[i] = A*B; } rep1R (i, M) for (int j = 2*i; j <= M; j += i) { a[i] -= a[j]; } dump(a); mint sum = 0; rep1 (i, M) sum += i*a[i]; { mint A = n*(n-1)/2; mint B = m*(m-1)/2; sum -= A*B; } dump(sum); ans -= sum*2; cout << ans << '\n'; }