#include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include using namespace std; using lint = long long; using pint = pair; using plint = pair; struct fast_ios { fast_ios(){ cin.tie(nullptr), ios::sync_with_stdio(false), cout << fixed << setprecision(20); }; } fast_ios_; #define ALL(x) (x).begin(), (x).end() #define FOR(i, begin, end) for(int i=(begin),i##_end_=(end);i=i##_begin_;i--) #define REP(i, n) FOR(i,0,n) #define IREP(i, n) IFOR(i,0,n) template bool chmax(T &m, const T q) { return m < q ? (m = q, true) : false; } template bool chmin(T &m, const T q) { return m > q ? (m = q, true) : false; } const std::vector> grid_dxs{{1, 0}, {-1, 0}, {0, 1}, {0, -1}}; int floor_lg(long long x) { return x <= 0 ? -1 : 63 - __builtin_clzll(x); } template T1 floor_div(T1 num, T2 den) { return (num > 0 ? num / den : -((-num + den - 1) / den)); } template std::pair operator+(const std::pair &l, const std::pair &r) { return std::make_pair(l.first + r.first, l.second + r.second); } template std::pair operator-(const std::pair &l, const std::pair &r) { return std::make_pair(l.first - r.first, l.second - r.second); } template std::vector sort_unique(std::vector vec) { sort(vec.begin(), vec.end()), vec.erase(unique(vec.begin(), vec.end()), vec.end()); return vec; } template int arglb(const std::vector &v, const T &x) { return std::distance(v.begin(), std::lower_bound(v.begin(), v.end(), x)); } template int argub(const std::vector &v, const T &x) { return std::distance(v.begin(), std::upper_bound(v.begin(), v.end(), x)); } template IStream &operator>>(IStream &is, std::vector &vec) { for (auto &v : vec) is >> v; return is; } template OStream &operator<<(OStream &os, const std::vector &vec); template OStream &operator<<(OStream &os, const std::array &arr); template OStream &operator<<(OStream &os, const std::unordered_set &vec); template OStream &operator<<(OStream &os, const pair &pa); template OStream &operator<<(OStream &os, const std::deque &vec); template OStream &operator<<(OStream &os, const std::set &vec); template OStream &operator<<(OStream &os, const std::multiset &vec); template OStream &operator<<(OStream &os, const std::unordered_multiset &vec); template OStream &operator<<(OStream &os, const std::pair &pa); template OStream &operator<<(OStream &os, const std::map &mp); template OStream &operator<<(OStream &os, const std::unordered_map &mp); template OStream &operator<<(OStream &os, const std::tuple &tpl); template OStream &operator<<(OStream &os, const std::vector &vec) { os << '['; for (auto v : vec) os << v << ','; os << ']'; return os; } template OStream &operator<<(OStream &os, const std::array &arr) { os << '['; for (auto v : arr) os << v << ','; os << ']'; return os; } template std::istream &operator>>(std::istream &is, std::tuple &tpl) { std::apply([&is](auto &&... args) { ((is >> args), ...);}, tpl); return is; } template OStream &operator<<(OStream &os, const std::tuple &tpl) { os << '('; std::apply([&os](auto &&... args) { ((os << args << ','), ...);}, tpl); return os << ')'; } template OStream &operator<<(OStream &os, const std::unordered_set &vec) { os << '{'; for (auto v : vec) os << v << ','; os << '}'; return os; } template OStream &operator<<(OStream &os, const std::deque &vec) { os << "deq["; for (auto v : vec) os << v << ','; os << ']'; return os; } template OStream &operator<<(OStream &os, const std::set &vec) { os << '{'; for (auto v : vec) os << v << ','; os << '}'; return os; } template OStream &operator<<(OStream &os, const std::multiset &vec) { os << '{'; for (auto v : vec) os << v << ','; os << '}'; return os; } template OStream &operator<<(OStream &os, const std::unordered_multiset &vec) { os << '{'; for (auto v : vec) os << v << ','; os << '}'; return os; } template OStream &operator<<(OStream &os, const std::pair &pa) { return os << '(' << pa.first << ',' << pa.second << ')'; } template OStream &operator<<(OStream &os, const std::map &mp) { os << '{'; for (auto v : mp) os << v.first << "=>" << v.second << ','; os << '}'; return os; } template OStream &operator<<(OStream &os, const std::unordered_map &mp) { os << '{'; for (auto v : mp) os << v.first << "=>" << v.second << ','; os << '}'; return os; } #ifdef HITONANODE_LOCAL const string COLOR_RESET = "\033[0m", BRIGHT_GREEN = "\033[1;32m", BRIGHT_RED = "\033[1;31m", BRIGHT_CYAN = "\033[1;36m", NORMAL_CROSSED = "\033[0;9;37m", RED_BACKGROUND = "\033[1;41m", NORMAL_FAINT = "\033[0;2m"; #define dbg(x) std::cerr << BRIGHT_CYAN << #x << COLOR_RESET << " = " << (x) << NORMAL_FAINT << " (L" << __LINE__ << ") " << __FILE__ << COLOR_RESET << std::endl #define dbgif(cond, x) ((cond) ? std::cerr << BRIGHT_CYAN << #x << COLOR_RESET << " = " << (x) << NORMAL_FAINT << " (L" << __LINE__ << ") " << __FILE__ << COLOR_RESET << std::endl : std::cerr) #else #define dbg(x) ((void)0) #define dbgif(cond, x) ((void)0) #endif #include // Rational number + {infinity(1 / 0), -infiity(-1 / 0), nan(0 / 0)} (有理数) // Do not compare any number with nan // Verified: Yandex Cup 2022 Final E https://contest.yandex.com/contest/42710/problems/K template struct Rational { Int num, den; static constexpr Int my_gcd(Int a, Int b) { // return __gcd(a, b); if (a < 0) a = -a; if (b < 0) b = -b; while (a and b) { if (a > b) a %= b; else b %= a; } return a + b; } constexpr Rational(Int num = 0, Int den = 1) : num(num), den(den) { normalize(); } constexpr void normalize() noexcept { if constexpr (AlwaysReduce) { // reduction Int g = my_gcd(num, den); if (g) num /= g, den /= g; } else { if (den == 0) { if (num > 1) num = 1; if (num < -1) num = -1; } } if (den < 0) num = -num, den = -den; // denominator >= 0 } constexpr Rational operator+(const Rational &r) const noexcept { if (!den and !r.den) return Rational(num + r.num, den); return Rational(num * r.den + den * r.num, den * r.den); } constexpr Rational operator-(const Rational &r) const noexcept { if (!den and !r.den) return Rational(num - r.num, den); return Rational(num * r.den - den * r.num, den * r.den); } constexpr Rational operator*(const Rational &r) const noexcept { return Rational(num * r.num, den * r.den); } constexpr Rational operator/(const Rational &r) const noexcept { return Rational(num * r.den, den * r.num); } constexpr Rational &operator+=(const Rational &r) noexcept { return *this = *this + r; } constexpr Rational &operator-=(const Rational &r) noexcept { return *this = *this - r; } constexpr Rational &operator*=(const Rational &r) noexcept { return *this = *this * r; } constexpr Rational &operator/=(const Rational &r) noexcept { return *this = *this / r; } constexpr Rational operator-() const noexcept { return Rational(-num, den); } constexpr Rational abs() const noexcept { return Rational(num > 0 ? num : -num, den); } constexpr bool operator==(const Rational &r) const noexcept { if constexpr (AlwaysReduce) { return num == r.num and den == r.den; } else { return num * r.den == r.num * den; } } constexpr bool operator!=(const Rational &r) const noexcept { return !(*this == r); } constexpr bool operator<(const Rational &r) const noexcept { if (den == 0 and r.den == 0) return num < r.num; else if (den == 0) return num < 0; else if (r.den == 0) return r.num > 0; else return num * r.den < den * r.num; } constexpr bool operator<=(const Rational &r) const noexcept { return (*this == r) or (*this < r); } constexpr bool operator>(const Rational &r) const noexcept { return r < *this; } constexpr bool operator>=(const Rational &r) const noexcept { return (r == *this) or (r < *this); } constexpr explicit operator double() const noexcept { return (double)num / (double)den; } constexpr explicit operator long double() const noexcept { return (long double)num / (long double)den; } template constexpr friend OStream &operator<<(OStream &os, const Rational &x) { return os << x.num << '/' << x.den; } }; template struct std::numeric_limits> { static constexpr Rational max() noexcept { return std::numeric_limits::max(); } static constexpr Rational min() noexcept { return std::numeric_limits::min(); } static constexpr Rational lowest() noexcept { return std::numeric_limits::lowest(); } }; using rat = Rational; rat yogen(int x, int y, int z) { return rat(y * y + z * z - x * x, 2 * y * z); } bool solve(lint a, lint b, lint c) { dbg(make_tuple(a, b, c)); for (lint wl = 1; wl <= 300; ++wl) { for (lint wr = 1; wr <= 300; ++wr) { const auto z = wl + a + wr; if (z >= b + c) continue; if (b >= z + c) continue; if (c >= z + b) continue; dbgif(wl == 1 and wr == 6, make_tuple(z, b, c)); auto cos_L = yogen(c, b, z); auto xb2 = rat(wl * wl + b * b) - cos_L * 2 * wl * b; auto cos_R = yogen(b, c, z); auto xc2 = rat(wr * wr + c * c) - cos_R * 2 * wr * c; dbgif(wl == 1 and wr == 6, make_tuple(wl, wr, z, b, c, xb2, xc2, cos_L, cos_R)); if (xb2 / (rat(1) - cos_L * cos_L) * wr * wr == xc2 / (rat(1) - cos_R * cos_R) * wl * wl) { return true; } } } return false; } int main() { int a, b, c; cin >> a >> b >> c; cout << (solve(a, b, c) ? "Yes" : "No") << '\n'; }