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#include <bits/stdc++.h> using namespace std; int func(long long int A1, long long int A2, long long int B1, long long int B2, long long int C1, long long int C2) { long long int divider = C1 * C1 + C2 * C2; long long int top1 = C1 * (B1 - A1) + C2 * (B2 - A2); long long int top2 = C1 * (B2 - A2) - C2 * (B1 - A1); if (divider == 0) { bool chk1 = B1 == A1 && B2 == A2, chk2 = B1 == -A2 && B2 == A1, chk3 = B1 == -A1 && B2 == -A2, chk4 = B1 == A2 && B2 == -A1; if (chk1 || chk2 || chk3 || chk4) { cout << "YES" << endl; return 1; } return 0; } if (top1 % divider == 0 && top2 % divider == 0) { cout << "YES" << endl; return 1; } return 0; } int main(void) { long long int A1, A2, B1, B2, C1, C2; cin >> A1 >> A2 >> B1 >> B2 >> C1 >> C2; if (func(A1, A2, B1, B2, C1, C2) || func(A1, A2, -B2, B1, C1, C2) || func(A1, A2, -B1, -B2, C1, C2) || func(A1, A2, B2, -B1, C1, C2)) return 0; cout << "NO" << endl; return 0; }
#include <bits/stdc++.h> using namespace std; long long bx, by; bool f(long long cx, long long cy, long long ax, long long ay) { long long dx = ax - bx; long long dy = ay - by; if (dx == 0 && dy == 0) return true; if (cx == 0 && cy == 0) return false; if (cx == 0) { if (dx % cy == 0 && dy % cy == 0) return true; else return false; } if (cy == 0) { if (dx % cx == 0 && dy % cx == 0) return true; else return false; } if ((cx * dx + cy * dy) % (cx * cx + cy * cy) == 0 && (-cy * dx + cx * dy) % (cx * cx + cy * cy) == 0) return true; else return false; } int main() { long long ax, ay; long long cx, cy; cin >> ax >> ay >> bx >> by >> cx >> cy; cout << ((f(cx, cy, ax, ay) || f(cx, cy, -ay, ax) || f(cx, cy, -ax, -ay) || f(cx, cy, ay, -ax)) ? "YES" : "NO"); return 0; }
#include <bits/stdc++.h> using namespace std; const int MAXN = 1e5 + 7; const int MAXV = 507; const int MAXE = 507; const int INF = 0x3f3f3f3f; long long d[4][2]; long long ax, ay, bx, by, cx, cy; int main() { while (cin >> ax >> ay) { cin >> bx >> by >> cx >> cy; d[0][0] = ax, d[0][1] = ay; d[1][0] = ay, d[1][1] = -ax; d[2][0] = -ax, d[2][1] = -ay; d[3][0] = -ay, d[3][1] = ax; bool found = false; for (int cas = 0; cas < 4; cas++) { long long ex = bx - d[cas][0], ey = by - d[cas][1]; if (cx == 0 && cy == 0) { if (ex == 0 && ey == 0) { found = true; break; } } else if ((ex * cy - ey * cx) % (cx * cx + cy * cy) == 0 && (ex * cx + ey * cy) % (cx * cx + cy * cy) == 0) { found = true; break; } } if (found) puts("YES"); else puts("NO"); } return 0; }
#include <bits/stdc++.h> using namespace std; long long ax, ay, bx, by, cx, cy; void check(long long axx, long long ayy) { if (cx * cx + cy * cy == 0) { if (axx == bx && ayy == by) { cout << "YES"; exit(0); } else return; } if ((cx * (by - ayy) - cy * (bx - axx)) % (cx * cx + cy * cy) != 0 || (cx * (bx - axx) + cy * (by - ayy)) % (cx * cx + cy * cy) != 0) return; cout << "YES"; exit(0); } int main() { cin >> ax >> ay >> bx >> by >> cx >> cy; check(ax, ay); check(ay, -ax); check(-ax, -ay); check(-ay, ax); cout << "NO"; }
#include <bits/stdc++.h> using namespace std; bool gao(long long A, long long B, long long C, long long D, long long E, long long F) { long long R = A * E - B * D; if (!R) return !C && !F; else return (C * E - B * F) % R == 0 && (C * D - A * F) % R == 0; } int main() { long long x[3], y[3]; for (int i = 0; i < 3; i++) scanf("%I64d%I64d", x + i, y + i); for (int i = 0; i < 4; i++) { if (gao(-y[2], x[2], x[1] - x[0], x[2], y[2], y[1] - y[0])) return puts("YES"); swap(x[0], y[0] *= -1); } puts("NO"); }
#include <bits/stdc++.h> using namespace std; void ASS(bool b) { if (!b) { ++*(int*)0; } } struct P { int x, y; P() {} P(int xx, int yy) { x = xx; y = yy; } P rot() { return P(y, -x); } P operator-(P p) { return P(x - p.x, y - p.y); } void read() { cin >> x >> y; } bool eq(const P& p) const { return x == p.x && y == p.y; } }; long long Dot(P a, P b) { return a.x * (long long)b.y - b.x * (long long)a.y; } long long gcd(long long a, long long b) { if (a == 0 || b == 0) return a + b; a = max(a, -a); b = max(b, -b); while (a) { long long c = b % a; b = a; a = c; } return b; } bool Ok(P A, P B, P C) { if (A.eq(B)) return 1; P c0(C.x, C.y); P c1(C.y, -C.x); P c = B - A; long long d = Dot(c0, c1); if (d == 0) return 0; ASS(d != 0); long long L0 = Dot(c, c1); long long L1 = Dot(c0, c); return L0 % d == 0 && L1 % d == 0; } int main() { P a, b, c; a.read(); b.read(); c.read(); for (int za = 0; za < (int)(4); za++) { for (int zb = 0; zb < (int)(4); zb++) { for (int zc = 0; zc < (int)(4); zc++) { if (Ok(a, b, c)) { cout << "YES" << endl; return 0; } c = c.rot(); } b = b.rot(); } a = a.rot(); } cout << "NO" << endl; return 0; }
#include <bits/stdc++.h> using namespace std; template <class T> void read(T& num) { char CH; bool F = false; for (CH = getchar(); CH < '0' || CH > '9'; F = CH == '-', CH = getchar()) ; for (num = 0; CH >= '0' && CH <= '9'; num = num * 10 + CH - '0', CH = getchar()) ; F && (num = -num); } long long ax, ay, bx, by, cx, cy; int solve(long long x, long long y) { x = bx - x; y = by - y; if (cx == 0 && cy == 0) { if (x == 0 && y == 0) return 1; return 0; } else if (cx == 0) { long long g = x / cy, h = y / cy; if (g * cy == x && h * cy == y) return 1; return 0; } else if (cy == 0) { long long g = x / cx, h = y / cx; if (g * cx == x && h * cx == y) return 1; return 0; } else { long long tx = x * cy, ty = y * cx; long long b = (tx - ty) / (cy * cy + cx * cx); if (b * (cx * cx + cy * cy) != (tx - ty)) return 0; else { long long a = (x - b * cy) / cx; if (a * cx + b * cy == x) return 1; return 0; } } } int main() { read(ax); read(ay); read(bx); read(by); read(cx); read(cy); int f = 0; if (solve(ax, ay)) f = 1; if (solve(-ax, -ay)) f = 1; if (solve(ay, -ax)) f = 1; if (solve(-ay, ax)) f = 1; if (f) cout << "YES\n"; else cout << "NO\n"; return 0; }
#include <bits/stdc++.h> #pragma comment(linker, "/STACK:64000000") using namespace std; long long x1, botva, x2, y2, x3, y3; void sw(long long &x, long long &y) { swap(x, y); y *= (-1); } long long abs1(long long a) { if (a < 0) return -a; return a; } bool f(long long x, long long y, long long k1, long long k2) { if (x * x + y * y == 0) return (k1 == 0 && k2 == 0); return ((abs1(k2 * x - k1 * y) % (x * x + y * y)) == 0 && (abs1(k1 * x + k2 * y) % (x * x + y * y)) == 0); } int main() { cin >> x1 >> botva >> x2 >> y2 >> x3 >> y3; bool q = false; for (int i = 0; i < int(4); i++) { q |= f(x3, y3, x2 - x1, y2 - botva); sw(x2, y2); } if (!q) printf("NO"); else printf("YES"); return 0; }
#include <bits/stdc++.h> using namespace std; bool Check(long long A, long long B, long long T1, long long T2) { if (!A && !B) return !T1 && !T2; return !((T1 * A + T2 * B) % (A * A + B * B)) && !((T2 * A - T1 * B) % (A * A + B * B)); } int main() { long long X0, Y0, X1, Y1, X2, Y2; cin >> X0 >> Y0 >> X1 >> Y1 >> X2 >> Y2; cout << ((Check(X2, Y2, X1 - X0, Y1 - Y0) || Check(X2, Y2, Y1 - X0, -X1 - Y0) || Check(X2, Y2, -X1 - X0, -Y1 - Y0) || Check(X2, Y2, -Y1 - X0, X1 - Y0)) ? "YES" : "NO") << endl; return 0; }
#include <bits/stdc++.h> using namespace std; long long ax, ay, bx, by, cx, cy; void check(long long axx, long long ayy) { if (cx == 0 && cy == 0) { if (axx == bx && ayy == by) { cout << "YES"; exit(0); } else return; } if ((cx * (by - ayy) - cy * (bx - axx)) % (cx * cx + cy * cy) != 0 || (cx * (bx - axx) + cy * (by - ayy)) % (cx * cx + cy * cy) != 0) return; cout << "YES"; exit(0); } int main() { cin >> ax >> ay >> bx >> by >> cx >> cy; check(ax, ay); check(ay, -ax); check(-ax, -ay); check(-ay, ax); cout << "NO"; }
#include <bits/stdc++.h> using namespace std; const int MAXN = -1; long long x1, x2, x3, aoduiaosdiaosid, y2, y3; void rot() { long long v = aoduiaosdiaosid; long long w = -x1; x1 = v; aoduiaosdiaosid = w; } int main() { while (scanf("%lld%lld%lld%lld%lld%lld", &x1, &aoduiaosdiaosid, &x2, &y2, &x3, &y3) >= 1) { if (x3 == 0 && y3 == 0) { bool ok = false; for (int i = (0); i < (int)(4); i++) { if (x1 == x2 && aoduiaosdiaosid == y2) ok = true; rot(); } printf("%s\n", ok ? "YES" : "NO"); continue; } bool can = false; for (int z = (0); z < (int)(4); z++) { bool ok = true; if (x3 == 0) { if ((x2 - x1) % y3) ok = false; if ((y2 - aoduiaosdiaosid) % y3) ok = false; if (ok) { can = true; break; } } else { long long nom = y3 * (x2 - x1) - x3 * (y2 - aoduiaosdiaosid); long long den = x3 * x3 + y3 * y3; if (nom % den) ok = false; else { long long q = nom / den; if ((x2 - x1 - q * y3) % x3) ok = false; } } if (ok) { can = true; break; } rot(); } printf("%s\n", can ? "YES" : "NO"); } return 0; }
#include <bits/stdc++.h> using namespace std; int IsMultiplyOverflow(long long multiplicant1, long long multiplicant2, long long overflow_limit) { if (multiplicant2 == 0LL) return overflow_limit < 0LL; return multiplicant1 > overflow_limit / multiplicant2; } class BigInt { public: BigInt() : digits_(1, 0), is_non_negative_(1) {} BigInt(long long initial_value) { if (initial_value < 0LL) { is_non_negative_ = 0; initial_value *= -1LL; } else { is_non_negative_ = 1; } if (initial_value == 0) { digits_.push_back(0); } while (initial_value) { digits_.push_back(initial_value % (long long)kDigitSize); initial_value /= (long long)kDigitSize; } } BigInt(const string& initial_value) { ParseFromString(initial_value); } void ParseFromString(string initial_value) { *this = 0; this->is_non_negative_ = 1; int negative = 0; if (initial_value[0] == '-') { negative = 1; initial_value = initial_value.substr(1, initial_value.size()); } assert(initial_value.size() > 0); for (int i = 0; i < (int)initial_value.size(); ++i) { assert(initial_value[i] >= '0' && initial_value[i] <= '9'); long long value = initial_value[i] - '0'; *this *= 10; *this += value; } if (negative) { this->is_non_negative_ = 0; } this->Normalize(); } BigInt(const BigInt& that) { this->is_non_negative_ = that.is_non_negative_; this->digits_ = that.digits_; } ~BigInt() {} BigInt& operator=(const BigInt& that) { this->is_non_negative_ = that.is_non_negative_; this->digits_ = that.digits_; return *this; } int Size() const { return (int)digits_.size(); } long long ToLongLong() const { long long ret = 0LL; for (int i = Size() - 1; i >= 0; --i) { assert(!IsMultiplyOverflow(ret, kDigitSize, 9223372036854775807)); ret *= (long long)kDigitSize; ret += (long long)digits_[i]; } if (!is_non_negative_) ret *= -1LL; return ret; } string ToString(int base = 10) const { assert(base >= 2); static string alphabet = "0123456789ABCDEFGHIJKLMNOPQRSTUVWXYZ"; assert(base <= (int)alphabet.size()); BigInt this_copy = *this; if (this_copy == 0) return "0"; vector<char> ret; int negative = 0; if (this_copy.is_non_negative_ == 0) { negative = 1; this_copy = this_copy.Absolute(); } while (this_copy > 0) { ret.push_back(alphabet[(this_copy % base).ToLongLong()]); this_copy /= base; } reverse(ret.begin(), ret.end()); string ret_value = ""; for (size_t i = 0; i < ret.size(); ++i) { ret_value += ret[i]; } if (negative) ret_value = "-" + ret_value; return ret_value; } bool operator==(const BigInt& that) const { return this->is_non_negative_ == that.is_non_negative_ && this->digits_ == that.digits_; } bool operator!=(const BigInt& that) const { return !this->operator==(that); } BigInt Absolute() const { BigInt copy_of_this(*this); copy_of_this.is_non_negative_ = 1; return copy_of_this; } BigInt AntiAbsolute() const { BigInt copy_of_this(*this); if (*this == 0LL) return copy_of_this; copy_of_this.is_non_negative_ = 0; return copy_of_this; } BigInt operator-() const { BigInt copy_of_this(*this); copy_of_this.is_non_negative_ ^= 1; copy_of_this.Normalize(); return copy_of_this; } bool operator<(const BigInt& that) const { if (!this->is_non_negative_) { if (that.is_non_negative_) { return true; } else { return that < this->Absolute(); } } else { if (!that.is_non_negative_) { return false; } if (this->Size() != that.Size()) { return this->Size() < that.Size(); } for (int i = this->Size() - 1; i >= 0; --i) { if (this->digits_[i] < that.digits_[i]) return true; if (this->digits_[i] > that.digits_[i]) return false; } return false; } } bool operator>(const BigInt& that) const { return that < *this; } bool operator<=(const BigInt& that) const { return *this == that || *this < that; } bool operator>=(const BigInt& that) const { return *this == that || *this > that; } BigInt operator+(const BigInt& that) const { if (this->is_non_negative_ != that.is_non_negative_) { if (this->is_non_negative_) return *this - that.Absolute(); else return that - this->Absolute(); } BigInt ret = 0LL; ret.is_non_negative_ = this->is_non_negative_; ret.digits_.clear(); int carry = 0; for (int i = 0; carry || (i < max(this->Size(), that.Size())); ++i) { int left = 0; if (this->Size() > i) left = this->digits_[i]; int right = 0; if (that.Size() > i) right = that.digits_[i]; int sum = left + right + carry; ret.digits_.push_back(sum % kDigitSize); carry = sum / kDigitSize; } ret.Normalize(); return ret; } BigInt operator-(const BigInt& that) const { if (this->is_non_negative_ != that.is_non_negative_) { BigInt copy_of_that(that); copy_of_that.is_non_negative_ ^= 1; return *this + copy_of_that; } if (!this->is_non_negative_) { return that.Absolute() - this->Absolute(); } if (that > *this) { BigInt ret = that - *this; return ret.AntiAbsolute(); } assert(this->Size() >= that.Size()); int borrow = 0; BigInt ret; ret.digits_.clear(); for (int i = 0; i < this->Size(); ++i) { int left = this->digits_[i]; int right = 0; if (that.Size() > i) right = that.digits_[i]; int sum = left - right - borrow; borrow = 0; while (sum < 0) { ++borrow; sum += kDigitSize; } ret.digits_.push_back(sum); } assert(borrow == 0); ret.Normalize(); return ret; } BigInt& operator+=(const BigInt& that) { return operator=(*this + that); } BigInt& operator-=(const BigInt& that) { return operator=(*this - that); } BigInt& operator++() { return this->operator+=(1); } BigInt operator++(int) { BigInt ret(*this); ++(*this); return ret; } BigInt& operator--() { return this->operator-=(1); } BigInt operator--(int) { BigInt ret(*this); --(*this); return ret; } BigInt operator<<(const BigInt& that) const { assert(this->is_non_negative_); long long amount = that.ToLongLong(); assert(amount >= 0LL); long long shift_digit = amount / kDigitSizeLog; vector<int> shifted_digits(shift_digit, 0); BigInt ret(*this); ret.digits_.insert(ret.digits_.begin(), shifted_digits.begin(), shifted_digits.end()); ret.Normalize(); return ret.SlowMultiplication(1 << (amount % kDigitSizeLog)); } BigInt& operator<<=(const BigInt& that) { return this->operator=(*this << that); } BigInt operator>>(const BigInt& that) const { assert(this->is_non_negative_); long long amount = that.ToLongLong(); assert(amount >= 0LL); long long shift_digit = amount / kDigitSizeLog; if (this->Size() <= shift_digit) return 0; BigInt this_copy(*this); this_copy.digits_.erase(this_copy.digits_.begin(), this_copy.digits_.begin() + shift_digit); long long remain = amount % kDigitSizeLog; int carry = 0; for (int i = this_copy.Size() - 1; i >= 0; --i) { this_copy.digits_[i] += (carry << kDigitSizeLog); carry = this_copy.digits_[i] % (1 << remain); this_copy.digits_[i] >>= remain; } this_copy.Normalize(); return this_copy; } BigInt& operator>>=(const BigInt& that) { return this->operator=(*this >> that); } BigInt SlowMultiplication(const BigInt& that) const { if (that.Size() < this->Size()) { return that.SlowMultiplication(*this); } BigInt ret; ret.digits_ = vector<int>(this->Size() + that.Size()); ret.is_non_negative_ = !(this->is_non_negative_ ^ that.is_non_negative_); for (int i = 0; i < this->Size(); ++i) { int carry = 0; int inner_carry = 0; for (int j = 0; j < that.Size(); ++j) { int mult = this->digits_[i] * that.digits_[j] + carry; ret.digits_[i + j] += mult % kDigitSize; carry = mult / kDigitSize; ret.digits_[i + j] += inner_carry; inner_carry = ret.digits_[i + j] / kDigitSize; ret.digits_[i + j] %= kDigitSize; } ret.digits_[i + that.Size()] += carry + inner_carry; int position = i + that.Size(); while (ret.digits_[position] >= kDigitSize) { ret.digits_[position + 1] += ret.digits_[position] / kDigitSize; ret.digits_[position] %= kDigitSize; ++position; } } ret.Normalize(); return ret; } BigInt operator*(const BigInt& that) const { if (that.Size() < this->Size()) { return that * *this; } if (this->Size() <= 4 || this->Size() * that.Size() <= (int)floor(pow(that.Size(), 1.6)) / 16) { return this->SlowMultiplication(that); } else { int digitviding_line = (that.Size() + 1) / 2; BigInt xlarge, xsmall; BigInt ylarge, ysmall; xlarge.digits_.clear(); xlarge.is_non_negative_ = true; xsmall.digits_.clear(); xsmall.is_non_negative_ = true; ylarge.digits_.clear(); ylarge.is_non_negative_ = true; ysmall.digits_.clear(); ysmall.is_non_negative_ = true; for (int i = 0; i < digitviding_line; ++i) { int xsmallbit = 0; int xlargebit = 0; int ysmallbit = 0; int ylargebit = 0; if (this->Size() > i) xsmallbit = this->digits_[i]; if (this->Size() > i + digitviding_line) xlargebit = this->digits_[i + digitviding_line]; if (that.Size() > i) ysmallbit = that.digits_[i]; if (that.Size() > i + digitviding_line) ylargebit = that.digits_[i + digitviding_line]; xsmall.digits_.push_back(xsmallbit); xlarge.digits_.push_back(xlargebit); ysmall.digits_.push_back(ysmallbit); ylarge.digits_.push_back(ylargebit); } xsmall.Normalize(); xlarge.Normalize(); ysmall.Normalize(); ylarge.Normalize(); BigInt biggest = xlarge * ylarge; BigInt smallest = xsmall * ysmall; BigInt avg = ((xsmall + xlarge) * (ysmall + ylarge)) - biggest - smallest; biggest <<= (long long)digitviding_line * 2 * kDigitSizeLog; avg <<= (long long)digitviding_line * kDigitSizeLog; BigInt result = biggest + avg + smallest; result.is_non_negative_ = !(this->is_non_negative_ ^ that.is_non_negative_); result.Normalize(); return result; } } BigInt& operator*=(const BigInt& that) { return this->operator=(*this * that); } BigInt operator/(const BigInt& that) const { int max_add = 0; BigInt that_copy(that.Absolute()); BigInt this_copy(this->Absolute()); while (that_copy <= this_copy) { ++max_add; that_copy <<= 1; } if (max_add == 0) { return 0; } BigInt ret; ret.digits_ = vector<int>(1 + max_add / kDigitSizeLog); ret.is_non_negative_ = !(this->is_non_negative_ ^ that.is_non_negative_); for (int i = max_add - 1; i >= 0; --i) { that_copy >>= 1; if (this_copy >= that_copy) { int digit_position = i / kDigitSizeLog; int digit_offset = i % kDigitSizeLog; ret.digits_[digit_position] += (1 << digit_offset); this_copy -= that_copy; } } ret.Normalize(); return ret; } BigInt operator%(const BigInt& that) const { assert(that.is_non_negative_); assert(this->is_non_negative_); assert(that != 0); return *this - ((*this / that) * that); } BigInt& operator/=(const BigInt& that) { return this->operator=(*this / that); } BigInt& operator%=(const BigInt& that) { return this->operator=(*this % that); } friend ostream& operator<<(ostream& out, BigInt& obj) { out << obj.ToString(); return out; } friend istream& operator>>(istream& in, BigInt& obj) { string rep; in >> rep; obj.ParseFromString(rep); return in; } private: void Normalize() { while (this->Size() > 1 && digits_.back() == 0) { digits_.pop_back(); } if (this->Size() == 1 && this->digits_[0] == 0) { is_non_negative_ = 1; } } static const int kDigitSize = (1 << 15); static const int kDigitSizeLog = 15; vector<int> digits_; int is_non_negative_; }; pair<BigInt, BigInt> transform(const pair<BigInt, BigInt>& org, BigInt dir) { if (dir == 0) { return org; } else if (dir == 1) { return make_pair(org.second, -(org.first)); } else if (dir == 2) { return make_pair(-(org.first), -(org.second)); } else { return make_pair(-(org.second), org.first); } } BigInt dir1[] = {0, 0, 2, 2}; BigInt dir2[] = {1, 3, 1, 3}; void ok() { cout << "YES" << endl; exit(0); } BigInt GreatestCommonDivisor(BigInt abc, BigInt def) { if (abc < 0LL || def < 0LL) return GreatestCommonDivisor(abc.Absolute(), def.Absolute()); if (abc < def) return GreatestCommonDivisor(def, abc); if (def == 0) return abc; return GreatestCommonDivisor(def, abc % def); } int solve(BigInt x1, BigInt x2, BigInt x3) { return x3 % GreatestCommonDivisor(x1, x2) == 0LL; } int main() { pair<BigInt, BigInt> a; cin >> a.first >> a.second; pair<BigInt, BigInt> t; cin >> t.first >> t.second; pair<BigInt, BigInt> b; cin >> b.first >> b.second; for (int(i) = 0; (i) < (4); ++(i)) { pair<BigInt, BigInt> trans = transform(a, i); pair<BigInt, BigInt> target = make_pair(t.first - trans.first, t.second - trans.second); if (target.first == 0 && target.second == 0) { cout << "YES" << endl; return 0; } if (b.first == 0 && b.second == 0) { continue; } for (int(j) = 0; (j) < (4); ++(j)) { BigInt d1 = dir1[j]; BigInt d2 = dir2[j]; pair<BigInt, BigInt> trans1, trans2; trans1 = transform(b, d1); trans2 = transform(b, d2); BigInt x1 = trans1.first; BigInt y1 = trans1.second; BigInt x2 = trans2.first; BigInt y2 = trans2.second; BigInt x3 = target.first; BigInt y3 = target.second; if (x1 == 0LL && x2 == 0LL && x3 != 0LL) continue; if (y1 == 0LL && y2 == 0LL && y3 != 0LL) continue; if (x1 == 0LL && x2 == 0LL && x3 == 0LL) { if (solve(y1, y2, y3)) ok(); } else if (y1 == 0LL && y2 == 0LL && y3 == 0LL) { if (solve(x1, x2, x3)) ok(); } else { BigInt gcdx = GreatestCommonDivisor(x1, GreatestCommonDivisor(x2, x3)); BigInt gcdy = GreatestCommonDivisor(y1, GreatestCommonDivisor(y2, y3)); x1 /= gcdx; x2 /= gcdx; x3 /= gcdx; y1 /= gcdy; y2 /= gcdy; y3 /= gcdy; BigInt det = x1 * y2 - x2 * y1; if (det == 0LL) { if (solve(x1, x2, x3) && solve(y1, y2, y3)) ok(); continue; } BigInt xnum = x2 * y3 - x3 * y2; BigInt xden = x2 * y1 - x1 * y2; if (xnum.Absolute() % xden.Absolute() != 0LL) continue; BigInt ynum = x1 * y3 - x3 * y1; if (ynum.Absolute() % xden.Absolute() != 0LL) continue; ok(); } } } cout << "NO\n"; return 0; }
#include <bits/stdc++.h> using namespace std; long long bx, by, cx, cy; long long det(long long a, long long b, long long c, long long d) { return a * d - b * c; } bool solve(long long ax, long long ay) { long long dx = bx - ax; long long dy = by - ay; long long d = det(cx, cy, cy, -cx); if (d == 0) { return ((cx != 0 || cy != 0) && cy * dx == cx * dy && cy * dy == -cx * dx) || (cx == 0 && cy == 0 && dx == 0 && dy == 0); } else { return ((det(dx, cy, dy, -cx) % d == 0) && (det(cx, dx, cy, dy) % d == 0)); } } int main() { long long ax, ay; cin >> ax >> ay >> bx >> by >> cx >> cy; bool res = false; res |= solve(ax, ay); res |= solve(ay, -ax); res |= solve(-ax, -ay); res |= solve(-ay, ax); if (res) cout << "YES\n"; else cout << "NO\n"; return 0; }
#include <bits/stdc++.h> using namespace std; long long int x2, y2, x3, y3; bool check(long long int x, long long int y) { long long int xx = x3 * x3 + y3 * y3, tx = x2 + x, ty = y2 + y; if (xx == 0) return x == x2 && y == y2; long long int ret1 = tx * x3 + ty * y3, ret2 = tx * y3 - ty * x3; if (ret1 % xx != 0 || ret2 % xx != 0) return false; return true; } int main() { long long int x1, y1; cin >> x1 >> y1 >> x2 >> y2 >> x3 >> y3; if (check(x1, y1) || check(-x1, -y1) || check(-y1, x1) || check(y1, -x1)) cout << "YES\n"; else cout << "NO\n"; }
#include <bits/stdc++.h> #pragma comment(linker, "/STACK:65777216") using namespace std; int x[3], y[3]; long long det(long long a, long long b, long long c, long long d) { return a * d - b * c; } int main() { for (int i(0); i < (3); i++) cin >> x[i] >> y[i]; for (int i(0); i < (4); i++) { swap(x[0], y[0]); y[0] = -y[0]; int a = x[1] - x[0]; int b = y[1] - y[0]; long long d = det(x[2], y[2], y[2], -x[2]); long long d1 = det(a, y[2], b, -x[2]); long long d2 = det(x[2], a, y[2], b); if (d == 0) { if (a == 0 && b == 0) { puts("YES"); return 0; } } else { if (d < 0) d = -d; if (d1 % d == 0 && d2 % d == 0) { puts("YES"); return 0; } } } puts("NO"); return 0; }
#include <bits/stdc++.h> long long int x, y, S, T, a, b; int AC = 0; int f(long long int S, long long int T) { if (x == S && y == T) return 1; if (a == 0 && b == 0) return 0; long long int A = b, B = a, C = S - x, D = -a, E = b, F = T - y; long long int DET = A * E - B * D, DX = B * F - C * E, DY = A * F - C * D; if (DX % DET == 0 && DY % DET == 0) return 1; else return 0; } int main() { scanf("%I64d%I64d%I64d%I64d%I64d%I64d", &x, &y, &S, &T, &a, &b); AC = 0; AC = f(S, T) || f(-T, S) || f(-S, -T) || f(T, -S); printf("%s\n", AC ? "YES" : "NO"); return 0; }
#include <bits/stdc++.h> using namespace std; struct Point { long long x, y; Point(long long _x = 0, long long _y = 0) : x(_x), y(_y) {} void input() { scanf("%lld%lld", &x, &y); } void output() { printf("(%lld %lld)\n", x, y); } }; Point operator+(Point A, Point B) { return Point(A.x + B.x, A.y + B.y); } Point operator-(Point A, Point B) { return Point(A.x - B.x, A.y - B.y); } Point Rotate(Point A) { return Point(-A.y, A.x); } long long gcd(long long a, long long b) { return !b ? a : gcd(b, a % b); } int main() { int ok = 0; Point A, B, C1, C2, F; A.input(); B.input(); C1.input(); C2 = Rotate(C1); for (int i = 0; i < 4; i++) { A = Rotate(A); F = B - A; ok = 0; long long a1 = C1.x, b1 = C2.x; long long a2 = C1.y, b2 = C2.y; long long c1 = F.x, c2 = F.y; if (a2 == 0 && b2 == 0) swap(a1, a2), swap(b1, b2), swap(c1, c2); if (a1 == 0 && b1 == 0) { if (c1) { ok = 0; } else if (a2 == 0 && b2 == 0) { if (c2) ok = 0; else ok = 1; } else if (c2 % gcd(a2, b2) == 0) ok = 1; else ok = 0; } else if (c1 % gcd(a1, b1) || c2 % gcd(a2, b2)) { ok = 0; } else if (a1 * b2 == a2 * b1) { if (a1 * c2 == a2 * c1 && b1 * c2 == b2 * c1) { ok = 1; } ok = 0; } else if ((b1 * c2 - b2 * c1) % (a1 * b2 - a2 * b1)) { ok = 0; } else if ((c1 * a2 - c2 * a1) % (b1 * a2 - a1 * b2)) { ok = 0; } else ok = 1; if (ok == 1) break; } printf(ok ? "YES\n" : "NO\n"); }
#include <bits/stdc++.h> using namespace std; const double eps = 1e-10; const int inf = 1 << 28; int getint() { unsigned int c; int x = 0; while (((c = getchar()) - '0') >= 10) { if (c == '-') return -getint(); if (!~c) exit(0); } do { x = (x << 3) + (x << 1) + (c - '0'); } while (((c = getchar()) - '0') < 10); return x; } void rot90(int& rx, int& ry, int x, int y) { rx = -y, ry = x; } int solve_le(long long& x, long long& y, const vector<long long>& v1, const vector<long long>& v2) { long long den = v1[0] * v2[1] - v2[0] * v1[1]; if (den != 0) { x = (v1[2] * v2[1] - v2[2] * v1[1]) / den; y = (v1[0] * v2[2] - v2[0] * v1[2]) / den; return 1; } den = v1[2] * v2[1] - v1[1] * v2[2]; if (den != 0) return 0; den = v1[0] * v2[2] - v1[2] * v2[0]; if (den != 0) return 0; if (v1[0] == 0 and v1[1] == 0 and v1[2] != 0) return 0; if (v2[0] == 0 and v2[1] == 0 and v2[2] != 0) return 0; return 2; } bool solve(int xa, int ya, int xb, int yb, int xc, int yc) { vector<long long> v1(3), v2(3); v1[0] = xc, v1[1] = -yc, v1[2] = xb - xa; v2[0] = yc, v2[1] = xc, v2[2] = yb - ya; long long t, u; int k = solve_le(t, u, v1, v2); if (k == 2) return 1; if (k == 0) return 0; if (t * v1[0] + u * v1[1] == v1[2] and t * v2[0] + u * v2[1] == v2[2]) return 1; return 0; } int main() { int i, j, k, tcc; int tc = inf; for (tcc = 0; tcc < tc; tcc++) { int xa = getint(), ya = getint(); int xb = getint(), yb = getint(); int xc = getint(), yc = getint(); int x = xa, y = ya; bool res = 0; res = res or solve(x, y, xb, yb, xc, yc); rot90(x, y, x, y); res = res or solve(x, y, xb, yb, xc, yc); rot90(x, y, x, y); res = res or solve(x, y, xb, yb, xc, yc); rot90(x, y, x, y); res = res or solve(x, y, xb, yb, xc, yc); rot90(x, y, x, y); res = res or solve(x, y, xb, yb, xc, yc); rot90(x, y, x, y); if (res) puts("YES"); else puts("NO"); } return 0; }
#include <bits/stdc++.h> long long a, b, c, d, e, f, i = 4, r, z, x, y; int main() { std::cin >> a >> b >> c >> d >> e >> f; for (z = f * f + e * e; i--; x = c - a, y = d - (b = -b), r |= (!z && !x && !y) | (z && !((x * e + y * f) % z) && !((y * e - x * f) % z))) std::swap(a, b); puts(r ? "YES" : "NO"); }
#include <bits/stdc++.h> using namespace std; long long ax, ay, bx, by, cx, cy; void check(long long axx, long long ayy) { if (cx == 0 && cy == 0) { if (axx - bx == 0 && ayy - by == 0) { cout << "YES"; exit(0); } else return; } if ((cx * (by - ayy) - cy * (bx - axx)) % (cx * cx + cy * cy) != 0 || (cx * (bx - axx) + cy * (by - ayy)) % (cx * cx + cy * cy) != 0) return; cout << "YES"; exit(0); } int main() { cin >> ax >> ay >> bx >> by >> cx >> cy; check(ax, ay); check(ay, -ax); check(-ax, -ay); check(-ay, ax); cout << "NO"; }
#include <bits/stdc++.h> using namespace std; long long ax, ay, bx, by, cx, cy; bool estimate(long long vx, long long vy) { long long r = cx * cx + cy * cy; if (r == 0) return (vx == 0 and vy == 0); return (vx * cx + vy * cy) % r == 0 and (cx * vy - cy * vx) % r == 0; } int main() { cin >> ax >> ay >> bx >> by >> cx >> cy; if (estimate(bx - ax, by - ay) or estimate(bx + ax, by + ay) or estimate(bx + ay, by - ax) or estimate(bx - ay, by + ax)) cout << "YES" << endl; else cout << "NO" << endl; return 0; }
#include <bits/stdc++.h> using namespace std; long long ax, ay, bx, by, cx, cy; void check(long long xx, long long yy) { if (cx == 0 && cy == 0) { if (xx == 0 && yy == 0) { cout << "YES"; exit(0); } else return; } if ((cx * (yy)-cy * (xx)) % (cx * cx + cy * cy) != 0 || (cx * (xx) + cy * (yy)) % (cx * cx + cy * cy) != 0) return; cout << "YES"; exit(0); } int main() { cin >> ax >> ay >> bx >> by >> cx >> cy; check(bx - ax, by - ay); check(bx - ay, by + ax); check(bx + ax, by + ay); check(bx + ay, by - ax); cout << "NO"; }
#include <bits/stdc++.h> using namespace std; int T; long long xa, xb, xc, ya, yb, yc; long long dx, dy; bool gao(long long xc, long long yc) { if (xc == 0 && yc == 0) return false; return (dx * xc + dy * yc) % (xc * xc + yc * yc) == 0; } bool check(long long xa, long long ya) { dx = xb - xa; dy = yb - ya; if (dx == 0 && dy == 0) return true; return gao(xc, yc) && gao(-yc, xc); } bool judge() { if (check(xa, ya)) return true; if (check(-ya, xa)) return true; if (check(-xa, -ya)) return true; if (check(ya, -xa)) return true; return false; } int main() { scanf("%I64d%I64d%I64d%I64d%I64d%I64d", &xa, &ya, &xb, &yb, &xc, &yc); printf("%s\n", judge() ? "YES" : "NO"); return 0; }
#include <bits/stdc++.h> using namespace std; int main() { long long ax, ay, bx, by, cx, cy; cin >> ax >> ay >> bx >> by >> cx >> cy; long long abs = cx * cx + cy * cy; for (int i = 0; i < (4); i++) { long long dx = ax - bx, dy = ay - by; if (dx == 0 && dy == 0) { cout << "YES"; return 0; } if (abs != 0) { if (((dx * cx + dy * cy) % abs == 0) && ((-dx * cy + dy * cx) % abs == 0)) { cout << "YES"; return 0; } } ay = -ay; swap(ax, ay); } cout << "NO"; return 0; }
#include <bits/stdc++.h> using namespace std; long long Det(long long a11, long long a12, long long a21, long long a22) { return a11 * a22 - a12 * a21; } bool HasSolution(long long Ax, long long Ay, long long Bx, long long By, long long Cx, long long Cy) { long long d = Det(Cx, Cy, Cy, -Cx); long long d1 = Det(Bx - Ax, Cy, By - Ay, -Cx); long long d2 = Det(Cx, Bx - Ax, Cy, By - Ay); if (d != 0) return d1 % d == 0 && d2 % d == 0; return Ax == Bx && Ay == By; } int main() { int Ax, Ay, Bx, By, Cx, Cy; cin >> Ax >> Ay >> Bx >> By >> Cx >> Cy; bool t = HasSolution(Ax, Ay, Bx, By, Cx, Cy) || HasSolution(Ay, -Ax, Bx, By, Cx, Cy) || HasSolution(-Ax, -Ay, Bx, By, Cx, Cy) || HasSolution(-Ay, Ax, Bx, By, Cx, Cy); cout << (t ? "YES" : "NO") << endl; }
#include <bits/stdc++.h> using namespace std; long long X1, Y1; long long A, B; long long x, y; int main() { while (cin >> X1 >> Y1) { cin >> A >> B >> x >> y; string res = "NO"; for (int i = 0; i < 4; i++) { for (int j = 0; j < 4; j++) { if (x == 0 && y == 0) { if (X1 == A && Y1 == B) res = "YES"; } else { bool good = true; long long c1 = A - X1; long long c2 = B - Y1; long long soor = c1 * x + c2 * y; long long makh = x * x + y * y; if (soor % makh) good = false; long long a = soor / makh; if (y == 0) { soor = c2; makh = -x; } else { soor = c1 - a * x; makh = y; } if (soor % makh) good = false; long long b = soor / makh; if (good) { res = "YES"; } } swap(A, B); A *= -1; } swap(X1, Y1); X1 *= -1; } cout << res << endl; } return 0; }
#include <bits/stdc++.h> using namespace std; const int mod = 1e9 + 7; int main() { ios::sync_with_stdio(0); cin.tie(0); int Ax, Ay, Bx, By, Cx, Cy; cin >> Ax >> Ay >> Bx >> By >> Cx >> Cy; for (int i = 0; i < 4; i++) { int tx = -Ay, ty = Ax; Ax = tx; Ay = ty; if (Ax == Bx && Ay == By) { cout << "YES\n"; return 0; } double Dx = Bx - Ax; double Dy = By - Ay; double X = Cx; double Y = Cy; auto T = complex<double>(Dx, Dy) / complex<double>(X, Y); if (abs(T.real() - round(T.real())) < 1e-12) if (abs(T.imag() - round(T.imag())) < 1e-12) { cout << "YES\n"; return 0; } } cout << "NO\n"; }
#include <bits/stdc++.h> using namespace std; template <class TT> TT abs(TT a) { if (a < 0) return -a; return a; } template <class ZZ> ZZ max(ZZ a, ZZ b, ZZ c) { return max(a, max(b, c)); } template <class ZZ> ZZ min(ZZ a, ZZ b, ZZ c) { return min(a, min(b, c)); } template <class ZZ> ZZ sqr(ZZ a) { return a * a; } typedef struct { long long x, y; } P; P a, b, c; bool f() { P o = (P){b.x - a.x, b.y - a.y}; long long d = sqr(c.x) + sqr(c.y); long long u = o.x * c.y - o.y * c.x; if (!d) return !(o.x || o.y); if (u % d) return false; long long m = u / d; if (c.x) return ((o.x - m * c.y) % c.x == 0); if (c.y) return ((o.y + m * c.x) % c.y == 0); return true; } int main() { int i, k; P d; while (cin >> a.x >> a.y) { cin >> b.x >> b.y; cin >> c.x >> c.y; k = 1; for (i = 0; i < 4 && k; i++) { if (f()) { cout << "YES" << endl; k = 0; } d.x = -a.y; d.y = a.x; a = d; } if (k) cout << "NO" << endl; } return 0; }
#include <bits/stdc++.h> using namespace std; long long Det(long long a11, long long a12, long long a21, long long a22) { return a11 * a22 - a12 * a21; } bool HasSolution(long long Ax, long long Ay, long long Bx, long long By, long long Cx, long long Cy) { long long d = Det(Cx, Cy, Cy, -Cx); long long d1 = Det(Bx - Ax, Cy, By - Ay, -Cx); long long d2 = Det(Cx, Bx - Ax, Cy, By - Ay); if (d != 0) return d1 % d == 0 && d2 % d == 0; return Ax == Bx && Ay == By; } int main() { int Ax, Ay, Bx, By, Cx, Cy; cin >> Ax >> Ay >> Bx >> By >> Cx >> Cy; bool t = HasSolution(Ax, Ay, Bx, By, Cx, Cy) || HasSolution(Ay, -Ax, Bx, By, Cx, Cy) || HasSolution(-Ax, -Ay, Bx, By, Cx, Cy) || HasSolution(-Ay, Ax, Bx, By, Cx, Cy); cout << (t ? "YES" : "NO") << endl; }
#include <bits/stdc++.h> using namespace std; long long Ax, Ay, Bx, By, x, y; long long tmpAx, tmpAy; bool mod(long long opa, long long opb) { if (opa % opb) return false; return true; } bool check2() { long long A = tmpAx, B = tmpAy; long long tmp = A * y - B * x, op = y * y + x * x; long long tmp1 = A * x + B * y, op1 = x * x + y * y; if (op == 0) return A == 0 && B == 0; if (tmp % op == 0 && tmp1 % op1 == 0) return true; return false; } bool check() { tmpAx = Ax - Bx; tmpAy = Ay - By; if (check2()) return true; tmpAx = Ax + Bx; tmpAy = Ay + By; if (check2()) return true; tmpAx = Ax - By; tmpAy = Ay + Bx; if (check2()) return true; tmpAx = Ax + By; tmpAy = Ay - Bx; if (check2()) return true; return false; } int main() { scanf("%I64d%I64d", &Ax, &Ay); scanf("%I64d%I64d", &Bx, &By); scanf("%I64d%I64d", &x, &y); if (check()) printf("YES"); else printf("NO"); return 0; }
#include <bits/stdc++.h> using namespace std; int main() { long long x1, y1, x2, y2, x3, y3; scanf("%I64d%I64d", &x1, &y1); scanf("%I64d%I64d", &x2, &y2); scanf("%I64d%I64d", &x3, &y3); bool flag = false, flag2 = false, flag3 = false, flag4 = false; long long m = x2 - x1, n = y2 - y1; if (x3 == 0 && y3 == 0) { if (m == 0 && n == 0) flag = true; else flag = false; } else { long long a = x3 * x3, b = y3 * y3; if ((y3 * m - x3 * n) % (a + b) == 0 && (x3 * m + y3 * n) % (a + b) == 0) flag = true; else flag = false; } m = x2 + y1, n = y2 - x1; if (x3 == 0 && y3 == 0) { if (m == 0 && n == 0) flag2 = true; else flag2 = false; } else { long long a = x3 * x3, b = y3 * y3; if ((y3 * m - x3 * n) % (a + b) == 0 && (x3 * m + y3 * n) % (a + b) == 0) flag2 = true; else flag2 = false; } m = x2 + x1, n = y2 + y1; if (x3 == 0 && y3 == 0) { if (m == 0 && n == 0) flag3 = true; else flag3 = false; } else { long long a = x3 * x3, b = y3 * y3; if ((y3 * m - x3 * n) % (a + b) == 0 && (x3 * m + y3 * n) % (a + b) == 0) flag3 = true; else flag3 = false; } m = x2 - y1, n = y2 + x1; if (x3 == 0 && y3 == 0) { if (m == 0 && n == 0) flag4 = true; else flag4 = false; } else { long long a = x3 * x3, b = y3 * y3; if ((y3 * m - x3 * n) % (a + b) == 0 && (x3 * m + y3 * n) % (a + b) == 0) flag4 = true; else flag4 = false; } flag || flag2 || flag3 || flag4 ? printf("YES\n") : printf("NO\n"); return 0; }
#include <bits/stdc++.h> using namespace std; bool valid(long long num, long long den) { if (den == 0) { return num == 0; } else { return (num % den) == 0; } } long long gcd(long long a, long long b) { if (b == 0) { return a; } else { return gcd(b, a % b); } } bool valid(long long a, long long b, long long c) { if (a == 0 && b == 0) { return c == 0; } if (a < 0) { a = -a; } if (b < 0) { b = -b; } return c % gcd(a, b) == 0; } int main() { long long ax, ay, bx, by, cx, cy; cin >> ax >> ay >> bx >> by >> cx >> cy; long long a_x = -ay, a_y = ax; long long c_x = -cy, c_y = cx; for (long long a = -1; a <= 1; ++a) { for (long long a_ = -1; a_ <= 1; ++a_) { if (abs(a) + abs(a_) == 1) { long long X = bx - a * ax - a_ * a_x; long long Y = by - a * ay - a_ * a_y; long long num1 = X * c_y - Y * c_x; long long den1 = cx * c_y - cy * c_x; long long num2 = X * cy - Y * cx; long long den2 = c_x * cy - c_y * cx; bool ok; if (den1 != 0 && den2 != 0) { ok = (num1 % den1) == 0 && (num2 % den2) == 0; } else { if (cx == 0 && c_x == 0) { ok = X == 0 && valid(cy, c_y, Y); } else if (cy == 0 && c_y == 0) { ok = Y == 0 && valid(cx, c_x, X); } else { if (cx == 0) { ok = (X % c_x) == 0 && (Y % c_y) == 0 && X / c_x == Y / c_y; } else if (c_x == 0) { ok = (X % cx) == 0 && (Y % cy) == 0 && X / cx == Y / cy; } else { ok = valid(cx, c_x, X) && X * cy == Y * cx; } } } if (ok) { cout << "YES" << endl; return 0; } } } } cout << "NO" << endl; return 0; }
#include <bits/stdc++.h> using namespace std; struct Point { long long x, y; Point() {} Point(long long x, long long y) : x(x), y(y) {} Point(const Point &p) : x(p.x), y(p.y) {} Point operator+(const Point &p) const { return Point(x + p.x, y + p.y); } Point operator-(const Point &p) const { return Point(x - p.x, y - p.y); } bool operator==(const Point &p) const { return (x == p.x && y == p.y); } }; long long dot(Point p, Point q) { return p.x * q.x + p.y * q.y; } long long cross(Point p, Point q) { return p.x * q.y - p.y * q.x; } long long abs2(Point p) { return p.x * p.x + p.y * p.y; } istream &operator>>(istream &is, Point &p) { is >> p.x >> p.y; return is; } ostream &operator<<(ostream &os, const Point &p) { return os << "(" << p.x << ", " << p.y << ") "; } Point RotateCW90(Point p) { return Point(p.y, -p.x); } bool check(Point A, Point B, Point C) { long long det = abs2(C); if (det == 0) { return (A == B); } long long X = cross(B, C) - cross(A, C); long long Y = dot(B, C) - dot(A, C); return (X % det == 0 && Y % det == 0); } void run_case() { Point A, B, C; cin >> A >> B >> C; for (long long i = 0; i < 4; i++) { if (check(A, B, C)) { cout << "YES\n"; return; } A = RotateCW90(A); } cout << "NO\n"; } signed main() { ios_base::sync_with_stdio(false); cin.tie(nullptr); long long T = 1; for (long long t = 1; t <= T; t++) { run_case(); } return 0; }
#include <bits/stdc++.h> using namespace std; long long ax, ay, bx, by, cx, cy; int main() { cin >> ax >> ay >> bx >> by >> cx >> cy; for (int i = 0; i < 4; ++i) { long long cc = cx * cx + cy * cy; long long vec1 = (bx - ax) * cx + (by - ay) * cy; long long vec2 = (bx - ax) * (-cy) + (by - ay) * cx; if (cc == 0) { if (ax == bx && ay == by) { cout << "YES" << endl; return 0; } } else if (vec1 % cc == 0 && vec2 % cc == 0) { cout << "YES" << endl; return 0; } long long t = ay; ay = ax; ax = -t; } cout << "NO" << endl; return 0; }
#include <bits/stdc++.h> using namespace std; long long a1, a2, b1, b2, c1, c2; void rec(long long p, long long q) { long long mod = c1 * c1 + c2 * c2; if ((p * c1 + q * c2) % mod == 0 && (q * c1 - p * c2) % mod == 0) { puts("YES"); exit(0); } } int main() { scanf("%I64d%I64d%I64d%I64d%I64d%I64d", &a1, &a2, &b1, &b2, &c1, &c2); if (c1 == 0 && c2 == 0) { if ((a1 == b1 && a2 == b2) || (a1 == -b1 && a2 == -b2) || (a1 == b2 && a2 == -b1) || (a1 == -b2 && a2 == b1)) puts("YES"); else puts("NO"); return 0; } rec(b1 - a1, b2 - a2); rec(b1 + a1, b2 + a2); rec(b1 + a2, b2 - a1); rec(b1 - a2, b2 + a1); puts("NO"); return 0; }
#include <bits/stdc++.h> using namespace std; template <class T> T abs(T x) { return x > 0 ? x : (-x); } template <class T> T sqr(T x) { return x * x; } long long x3982098543, y3982098543, x2, y2, x3, y3; bool check(long long X, long long Y) { long long d = sqr(x3) + sqr(y3); long long dx = X * x3 + Y * y3; long long dy = x3 * Y - y3 * X; if (d == 0) { if (dx == 0 && dy == 0 && X == 0 && Y == 0) return true; else return false; } else { if (dx % d == 0 && dy % d == 0) return true; else return false; } } int main() { cin >> x3982098543 >> y3982098543 >> x2 >> y2 >> x3 >> y3; for (int it = 0; it < 8; ++it) { long long X = x2 - x3982098543, Y = y2 - y3982098543; if (check(X, Y)) { printf("YES\n"); return 0; } long long x = y3982098543, y = -x3982098543; x3982098543 = x, y3982098543 = y; } printf("NO\n"); return 0; }
#include <bits/stdc++.h> using namespace std; long long A[2], B[2], C[2]; int check(long long p, long long q) { long long a, b, c; a = (-C[0] * p - C[1] * q); b = (-C[1] * p + C[0] * q); c = (C[0] * C[0] + C[1] * C[1]); return (a % c == 0 && b % c == 0); } int check2() { if (A[0] == B[0] && A[1] == B[1]) return 1; if ((-1 * A[1]) == B[0] && A[0] == B[1]) return 1; if ((-1 * A[0]) == B[0] && (-1 * A[1]) == B[1]) return 1; if (A[1] == B[0] && (-1 * A[0]) == B[1]) return 1; return 0; } int main(void) { int i, T, j, m, n; for (i = 0; i < 2; i++) scanf("%I64d", &A[i]); for (i = 0; i < 2; i++) scanf("%I64d", &B[i]); for (i = 0; i < 2; i++) scanf("%I64d", &C[i]); if (C[0] == 0 && C[1] == 0) { if (check2()) printf("YES\n"); else printf("NO\n"); } else if (check(B[0] - A[0], B[1] - A[1]) || check(B[0] - A[1], B[1] + A[0]) || check(B[0] + A[0], B[1] + A[1]) || check(B[0] + A[1], B[1] - A[0])) printf("YES\n"); else printf("NO\n"); return 0; }
#include <bits/stdc++.h> using namespace std; void setIO(string s = "") { ios_base::sync_with_stdio(0); cin.tie(0); cout.tie(0); cin.exceptions(cin.failbit); if (s.size()) { freopen((s + ".in").c_str(), "r", stdin); freopen((s + ".out").c_str(), "w", stdout); } } long long int Ax, Ay; long long int Bx, By, Cx, Cy; void solve() { long long int n, m, j, l, k, i; cin >> Ax >> Ay >> Bx >> By >> Cx >> Cy; for (i = 0; i < 4; i++) { long long int dx = Bx - Ax; long long int dy = By - Ay; if (dx == 0 && dy == 0) { cout << "YES"; cout << "\n"; return; } long long int u = dx * Cx + dy * Cy; long long int v = dx * Cy - dy * Cx; long long int w = Cx * Cx + Cy * Cy; if (w != 0 && u % w == 0 && v % w == 0) { cout << "YES"; cout << "\n"; return; } Ax *= -1; swap(Ax, Ay); } cout << "NO"; cout << "\n"; return; } int main() { setIO(); long long int totalTestCase = 1; for (long long int testCase = 1; testCase <= totalTestCase; testCase++) { solve(); } return 0; }
#include <bits/stdc++.h> using namespace std; int ax, ay, bx, by, cx, cy; inline bool isok(int ex, int ey) { if (cx == 0 && cy == 0) return ex == 0 && ey == 0; long long a = 1ll * ex * cx + 1ll * ey * cy, b = 1ll * ey * cx - 1ll * ex * cy, c = 1ll * cx * cx + 1ll * cy * cy; return a % c == 0 && b % c == 0; } int main() { scanf("%d%d%d%d%d%d", &ax, &ay, &bx, &by, &cx, &cy); if (isok(bx - ax, by - ay) || isok(bx + ay, by - ax) || isok(bx + ax, by + ay) || isok(bx - ay, by + ax)) printf("YES"); else printf("NO"); }
#include <bits/stdc++.h> int main() { long long a1, a2, b1, b2, c1, c2, D; scanf("%lld%lld%lld%lld%lld%lld", &a1, &a2, &b1, &b2, &c1, &c2); if (c1 == 0 && c2 == 0) { if ((a1 == b1 && a2 == b2) || (a1 == -b1 && a2 == -b2) || (a1 == b2 && a2 == -b1) || (a1 == -b2 && a2 == b1)) printf("YES\n"); else printf("NO\n"); return 0; } D = c1 * c1 + c2 * c2; long long b1a1 = b1 + a1, b1_a1 = b1 - a1, b1a2 = b1 + a2, b1_a2 = b1 - a2, b2a2 = b2 + a2, b2_a2 = b2 - a2, b2a1 = b2 + a1, b2_a1 = b2 - a1; if (((((b1a1)*c1 + (b2a2)*c2) % D) || (((b1a1)*c2 - (b2a2)*c1) % D)) && ((((b1_a1)*c1 + (b2_a2)*c2) % D) || (((b1_a1)*c2 - (b2_a2)*c1) % D)) && ((((b1_a2)*c1 + (b2a1)*c2) % D) || (((b1_a2)*c2 - (b2a1)*c1) % D)) && ((((b1a2)*c1 + (b2_a1)*c2) % D) || (((b1a2)*c2 - (b2_a1)*c1) % D))) printf("NO\n"); else printf("YES\n"); return 0; }
#include <bits/stdc++.h> using namespace std; long long ax, ay, bx, by, cx, cy, dx, dy; long long a1, b1, c1, a2, b2, c2, d; int main() { cin >> ax >> ay >> bx >> by >> cx >> cy; for (int i = 0; i < 4; i++, swap(ax, ay), ax = -ax) { dx = bx - ax; dy = by - ay; a1 = cx; b1 = cy; c1 = -dx; a2 = cy; b2 = -cx; c2 = -dy; d = a1 * b2 - a2 * b1; if (dx * dx + dy * dy == 0 || d && (b1 * c2 - b2 * c1) % d == 0 && (c1 * a2 - c2 * a1) % d == 0) { puts("YES"); return 0; } } puts("NO"); return 0; }
#include <bits/stdc++.h> using namespace std; bool solve(long long A, long long B, long long C, long long D, long long E, long long F) { return (C * E - B * F) % (A * E - B * D) == 0 && (C * D - A * F) % (B * D - A * E) == 0; } int main() { long long x[3], y[3]; for (int i = 0; i < 3; i++) scanf("%I64d%I64d", x + i, y + i); if (!x[2] && !y[2]) { for (int i = 0; i < 4; i++) { if (x[0] == x[1] && y[0] == y[1]) return puts("YES"); swap(x[0], y[0] *= -1); } return puts("NO"); } for (int i = 0; i < 4; i++) { if (solve(-y[2], x[2], x[1] - x[0], x[2], y[2], y[1] - y[0])) return puts("YES"); swap(x[0], y[0] *= -1); } puts("NO"); }
#include <bits/stdc++.h> int main() { std::ios_base::sync_with_stdio(false); int64_t a1, a2, b1, b2, c1, c2, D, m[4], n[4]; std::cin >> a1 >> a2 >> b1 >> b2 >> c1 >> c2; if (c1 == 0 && c2 == 0) { if ((a1 == b1 && a2 == b2) || (a1 == -b1 && a2 == -b2) || (a1 == b2 && a2 == -b1) || (a1 == -b2 && a2 == b1)) std::cout << "YES" << std::endl; else std::cout << "NO" << std::endl; return 0; } D = c1 * c1 + c2 * c2; m[0] = (b1 + a1) * c1 + (b2 + a2) * c2; n[0] = (b1 + a1) * c2 - (b2 + a2) * c1; m[1] = (b1 - a1) * c1 + (b2 - a2) * c2; n[1] = (b1 - a1) * c2 - (b2 - a2) * c1; m[2] = (b1 - a2) * c1 + (b2 + a1) * c2; n[2] = (b1 - a2) * c2 - (b2 + a1) * c1; m[3] = (b1 + a2) * c1 + (b2 - a1) * c2; n[3] = (b1 + a2) * c2 - (b2 - a1) * c1; bool ok = false; for (int i = 0; i != 4; ++i) ok |= !((m[i] % D) || (n[i] % D)); std::cout << (ok ? "YES" : "NO") << std::endl; return 0; }
#include <bits/stdc++.h> using namespace std; void good() { printf("YES\n"); exit(0); } long long A[3][2]; int main() { for (int i = 0; i < 3; ++i) for (int j = 0; j < 2; ++j) scanf("%lld", &A[i][j]); swap(A[1][0], A[2][0]); swap(A[1][1], A[2][1]); for (int i = 0; i < 4; ++i) { long long int y = A[0][1]; long long int x = A[0][0]; A[0][0] = y; A[0][1] = -x; long long k = A[2][0] - A[0][0]; long long q = A[2][1] - A[0][1]; long long tt = A[1][0] * A[1][0] + A[1][1] * A[1][1]; if (tt != 0) { bool f1 = (A[1][0] * k + A[1][1] * q) % tt == 0; bool f2 = (A[1][1] * k - A[1][0] * q) % tt == 0; if (f1 && f2) good(); } else { if (k == 0 && q == 0) good(); } } printf("NO\n"); return 0; }
#include <bits/stdc++.h> using namespace std; long long xA, yA, xB, yB, xC, yC, temp; int main() { cin >> xA >> yA >> xB >> yB >> xC >> yC; for (int i = 0; i < 4; ++i) { long long xD = xB - xA, yD = yB - yA; if (xD == 0 && yD == 0) { cout << "YES" << endl; return 0; } long long n1 = xC * xD + yC * yD; long long n2 = -yC * xD + xC * yD; long long n3 = xC * xC + yC * yC; if (n3 > 0 && n1 % n3 == 0 && n2 % n3 == 0) { cout << "YES" << endl; return 0; } temp = xA; xA = -yA; yA = temp; } cout << "NO" << endl; }
#include <bits/stdc++.h> using namespace std; long long ax, ay, bx, by, cx, cy; bool check(long long ax, long long ay, long long bx, long long by, long long cx, long long cy) { long long tx = bx - ax, ty = by - ay; if (cx == 0 && cy == 0) return (tx == 0 && ty == 0); long long dx = cy, dy = -cx; long long a = (tx * dy - dx * ty) / (cx * dy - dx * cy); long long b = (tx * cy - cx * ty) / (dx * cy - cx * dy); if (a * cx + b * dx != tx) return false; if (a * cy + b * dy != ty) return false; return true; } int main() { cin >> ax >> ay >> bx >> by >> cx >> cy; bool flag = false; if (check(ax, ay, bx, by, cx, cy)) flag = true; if (check(ay, -ax, bx, by, cx, cy)) flag = true; if (check(-ax, -ay, bx, by, cx, cy)) flag = true; if (check(-ay, ax, bx, by, cx, cy)) flag = true; if (flag) cout << "YES" << endl; else cout << "NO" << endl; return 0; }
#include <bits/stdc++.h> using namespace std; const int N = 1e5 + 10, INF = 0x3f3f3f3f, MOD = 1e9 + 7; struct P { long long x, y; P() {} P(long long x, long long y) : x(x), y(y) {} P rotate() { return P(-y, x); } P operator-(const P& rhs) const { return P(x - rhs.x, y - rhs.y); } long long operator*(const P& rhs) const { return x * rhs.x + y * rhs.y; } bool operator==(const P& rhs) const { return x == rhs.x && y == rhs.y; } }; bool judge(P& u, P& v) { if (v == P(0, 0)) return u == P(0, 0); long long w = v.x * v.x + v.y * v.y; return u * v % w == 0 && u * v.rotate() % w == 0; } P a, b, c; int main() { ios_base::sync_with_stdio(0); while (cin >> a.x >> a.y >> b.x >> b.y >> c.x >> c.y) { bool ok = false; for (int i = 0; i < 4; ++i) { P d = b - a; if (judge(d, c)) { ok = true; break; } a = a.rotate(); } cout << (ok ? "YES" : "NO") << '\n'; } return 0; }
#include <bits/stdc++.h> using namespace std; const int mod = 1000000007; long long a, b, c, d, e, f, k; bool check(long long x, long long y) { if (k == 0) { return x == c && y == d; } return ((c - x) * e + (d - y) * f) % k == 0 && (e * (d - y) + f * (x - c)) % k == 0; } int main() { while (cin >> a >> b >> c >> d >> e >> f) { k = e * e + f * f; if (check(a, b) || check(-a, -b) || check(b, -a) || check(-b, a)) { cout << "YES" << endl; } else cout << "NO" << endl; } return 0; }
#include <bits/stdc++.h> using namespace std; long long ax, ay, bx, by, cx, cy; long long AX[4], AY[4], CX[4], CY[4]; long long GCD(long long a, long long b) { a = abs(a), b = abs(b); if (a < b) swap(a, b); return b ? GCD(b, a % b) : a; } bool judge(long long ax, long long ay, long long cx, long long cy) { if (cx == 0 && cy == 0) return ax == bx && ay == by; if (cx == 0) return (bx - ax) % cy == 0 && (by - ay) % cy == 0; if (cy == 0) return (bx - ax) % cx == 0 && (by - ay) % cx == 0; long long gcd = GCD(abs(cx), abs(cy)); long long gcd1 = GCD(gcd, abs(bx - ax)); long long gcd2 = GCD(gcd, abs(by - ay)); if (gcd != gcd1 || gcd != gcd2) return 0; long long zi1 = abs((bx - ax) * cx + (by - ay) * cy); long long zi2 = abs(cx * (by - ay) - cy * (bx - ax)); long long mu = abs(cx * cx + cy * cy); if (mu) if (zi1 % mu || zi2 % mu) return 0; if (!mu && (zi1 || zi2)) return 0; return 1; } int main() { cin >> ax >> ay >> bx >> by >> cx >> cy; AX[0] = ax, AY[0] = ay; AX[1] = -ay, AY[1] = ax; AX[2] = -ax, AY[2] = -ay; AX[3] = ay, AY[3] = -ax; CX[0] = cx, CY[0] = cy; CX[1] = -cy, CY[1] = cx; CX[2] = -cx, CY[2] = -cy; CX[3] = cy, CY[3] = -cx; for (int i = 0; i < 4; i++) for (int j = 0; j < 4; j++) if (judge(AX[i], AY[i], CX[j], CY[j])) return cout << "YES", 0; cout << "NO"; }
#include <bits/stdc++.h> using namespace std; int ni() { int a; scanf("%d", &a); return a; } double nf() { double a; scanf("%lf", &a); return a; } char sbuf[100005]; string ns() { scanf("%s", sbuf); return sbuf; } long long nll() { long long a; scanf("%lld", &a); return a; } template <class T> void out(T a, T b) { bool first = true; for (T i = a; i != b; ++i) { if (!first) printf(" "); first = false; cout << *i; } printf("\n"); } template <class T> void outl(T a, T b) { for (T i = a; i != b; ++i) { cout << *i << "\n"; } } int n, m; bool moo(long long cx, long long cy, long long x, long long y) { if ((x * cx + y * cy) % (cx * cx + cy * cy) != 0) return false; if ((y * cx - x * cy) % (cx * cx + cy * cy) != 0) return false; return true; } int main() { int i, j, k; int x = ni(); int y = ni(); int tx = ni(); int ty = ni(); int cx = ni(); int cy = ni(); if (cx == 0 && cy == 0) { for (i = (0); i < (((4))); ++i) { if (x == tx && y == ty) { printf("YES\n"); return 0; } swap(x, y); x = -x; } printf("NO\n"); return 0; } for (i = (0); i < (((4))); ++i) { if (moo(cx, cy, tx - x, ty - y)) { printf("YES\n"); return 0; } swap(x, y); x = -x; } printf("NO\n"); return 0; }
#include <bits/stdc++.h> using namespace std; long long A, B, c, d, E, F; int read(); bool zc(long long fz, long long fm) { return !(fz % fm); } bool ask(long long a, long long b, long long e, long long f) { if (!e && !f) return a == c & b == d; if (!e) return zc(c - a, f) & zc(d - b, f); if (!f) return zc(c - a, e) & zc(d - b, e); long long fx = e * (c - a) + f * (d - b); long long fy = f * (c - a) + e * (b - d); long long fm = e * e + f * f; fx = fx < 0 ? -fx : fx; fy = fy < 0 ? -fy : fy; return zc(fx, fm) & zc(fy, fm); } int main() { A = read(), B = read(), c = read(); d = read(), E = read(), F = read(); if (ask(A, B, E, F)) return puts("YES"), 0; else if (ask(A, B, -F, E)) return puts("YES"), 0; else if (ask(A, B, F, -E)) return puts("YES"), 0; else if (ask(A, B, -E, -F)) return puts("YES"), 0; else if (ask(-B, A, E, F)) return puts("YES"), 0; else if (ask(-B, A, -F, E)) return puts("YES"), 0; else if (ask(-B, A, F, -E)) return puts("YES"), 0; else if (ask(-B, A, -E, -F)) return puts("YES"), 0; else if (ask(B, -A, E, F)) return puts("YES"), 0; else if (ask(B, -A, -F, E)) return puts("YES"), 0; else if (ask(B, -A, F, -E)) return puts("YES"), 0; else if (ask(B, -A, -E, -F)) return puts("YES"), 0; else if (ask(-A, -B, E, F)) return puts("YES"), 0; else if (ask(-A, -B, -F, E)) return puts("YES"), 0; else if (ask(-A, -B, F, -E)) return puts("YES"), 0; else if (ask(-A, -B, -E, -F)) return puts("YES"), 0; else puts("NO"); return 0; } int read() { int x = 0, f = 1; char c = getchar(); while (c > '9' || c < '0') f = (c == '-') ? -1 : f, c = getchar(); while (c >= '0' && c <= '9') x = x * 10 + c - '0', c = getchar(); return x * f; }
#include <bits/stdc++.h> bool check(long long cx, long long cy, long long dx, long long dy) { long long t = cx * cx + cy * cy; long long a = -cy * dy - cx * dx; long long b = cx * dy - dx * cy; return t != 0 && a % t == 0 && b % t == 0; } int main() { int x1, y1, x2, y2, x3, y3; scanf("%d %d %d %d %d %d", &x1, &y1, &x2, &y2, &x3, &y3); if (x3 == 0 && y3 == 0) { if (x1 == x2 && y1 == y2) printf("YES\n"); else if (x1 == -y2 && y1 == x2) printf("YES\n"); else if (x1 == -x2 && y1 == -y2) printf("YES\n"); else if (x1 == y2 && y1 == -x2) printf("YES\n"); else printf("NO\n"); return 0; } bool ans = check(x3, y3, x1 + x2, y1 + y2) || check(x3, y3, x1 - y2, y1 + x2) || check(x3, y3, x1 - x2, y1 - y2) || check(x3, y3, x1 + y2, y1 - x2); if (ans) printf("YES\n"); else printf("NO\n"); return 0; }
#include <bits/stdc++.h> #pragma comment(linker, "/STACK:60000000") using namespace std; const long double eps = 1e-10; const int inf = (1 << 30) - 1; const long long inf64 = ((long long)1 << 62) - 1; const long double pi = 3.1415926535897932384626433832795; template <class T> T sqr(T first) { return first * first; } pair<long long, long long> A, B, C; pair<long long, long long> operator-(pair<long long, long long> p1, pair<long long, long long> p2) { return pair<long long, long long>(p1.first - p2.first, p1.second - p2.second); } pair<long long, long long> rotate(pair<long long, long long> first) { return pair<long long, long long>(-first.second, first.first); } pair<long double, long double> rotate(pair<long double, long double> p, long double ang) { return pair<long double, long double>( p.first * cosl(ang) - p.second * sinl(ang), p.first * sinl(ang) + p.second * cosl(ang)); } bool integer(long double first) { long double X = floorl(first + 0.1); if (fabsl(first - X) < eps) return 1; return 0; } bool check(pair<long long, long long> A, pair<long long, long long> B) { if (B == pair<long long, long long>(0, 0)) return 1; if (A == pair<long long, long long>(0, 0)) return 0; pair<long double, long double> a = pair<long double, long double>(A.first, A.second); long double ang = atan2l(a.second, a.first); long double d = sqrtl((long double)(A.first * A.first + A.second * A.second)); pair<long double, long double> b = rotate(pair<long double, long double>(B.first, B.second), -ang); b.first /= d; b.second /= d; b.first = fabsl(b.first); b.second = fabsl(b.second); if (integer(b.first) && integer(b.second)) return 1; return 0; } int main() { cin >> A.first >> A.second; cin >> B.first >> B.second; cin >> C.first >> C.second; for (int i = 0; i < (int)(4); i++) { pair<long long, long long> D = B - A; if (check(C, D)) { cout << "YES\n"; return 0; } A = rotate(A); } cout << "NO\n"; return 0; }
#include <bits/stdc++.h> #pragma comment(linker, "/STACK:16777216") using namespace std; template <class T> void pv(T a, T b) { for (T i = a; i != b; ++i) cout << *i << " "; cout << endl; } long long f(long long x) { return max(x, -x); } int solve(long long x, long long y, long long x_, long long y_, long long a, long long b) { long long dx = x_ - x; long long dy = y_ - y; if (a == 0 && b == 0) { if (dx == 0 && dy == 0) return 1; } if (a == 0 && b != 0) { if (f(dx) % f(b) == 0 && f(dy) % f(b) == 0) return 1; } if (a != 0 && b == 0) { if (f(dx) % f(a) == 0 && f(dy) % f(a) == 0) return 1; } if (a != 0 && b != 0) { long long det = a * a + b * b; long long detA = a * dx + b * dy; long long detB = b * dx - a * dy; if (f(detA) % f(det) == 0 && f(detB) % f(det) == 0) return 1; } return 0; } void flip(long long &x, long long &y) { long long nx = -y, ny = x; x = nx, y = ny; } int main() { long long x, y, x_, y_, a, b; cin >> x >> y >> x_ >> y_ >> a >> b; for (int i = 0; i < (10); i++) { for (int j = 0; j < (10); j++) { if (solve(x, y, x_, y_, a, b)) { puts("YES"); return 0; } flip(x_, y_); } flip(x, y); } puts("NO"); return 0; }
#include <bits/stdc++.h> long long a, b, c, d, e, f, i = 4, r, z, x, y; int main() { std::cin >> a >> b >> c >> d >> e >> f; for (z = f * f + e * e; i--; x = c - a, y = d - (b = -b), r |= (!z && !x && !y) | (z && !((x * e + y * f) % z) && !((y * e - x * f) % z))) std::swap(a, b); puts(r ? "YES" : "NO"); }
#include <bits/stdc++.h> using namespace std; int n, m; int k; bool debug = false; long long xa, xb, xc, ya, yb, yc; long long X[5], Y[5]; long long d[4][2][2] = { {{1, 0}, {0, 1}}, {{-1, 0}, {0, -1}}, {{0, 1}, {-1, 0}}, {{0, -1}, {1, 0}}}; bool dd(long long x2, long long y2) { long long dx = xa - x2, dy = ya - y2; long long t1 = -(xc * dx + yc * dy) / (xc * xc + yc * yc); long long t2; if (yc != 0) { t2 = -(dx + xc * t1) / yc; } else { t2 = (dy + yc * t1) / xc; } return (xa + xc * t1 + yc * t2 == x2 && ya + yc * t1 - xc * t2 == y2); } int main() { cin >> xa >> ya >> xb >> yb >> xc >> yc; for (int i = 0; i < 4; i++) { X[i] = d[i][0][0] * xb + d[i][0][1] * yb; Y[i] = d[i][1][0] * xb + d[i][1][1] * yb; } if (xc == 0 && yc == 0) { for (int i = 0; i < 4; i++) { if (xa == X[i] && ya == Y[i]) { puts("YES"); return 0; } } } else { for (int i = 0; i < 4; i++) if (dd(X[i], Y[i])) { puts("YES"); return 0; } } puts("NO"); return 0; }
#include <bits/stdc++.h> using namespace std; bool check(int xa, int ya, int xb, int yb, long long xc, long long yc) { long long k1 = xb - xa; long long k2 = yb - ya; if (xc != 0) { long long wNum = k1 * yc - k2 * xc; long long wDen = xc * xc + yc * yc; if (wNum % wDen) return false; long long w = wNum / wDen; long long qNum = k1 - w * yc; if (qNum % xc) return false; return true; } else { return (k1 % yc == 0) && (k2 % yc == 0); } } int main() { ios_base::sync_with_stdio(false); int xa, xb, xc, ya, yb, yc; cin >> xa >> ya >> xb >> yb >> xc >> yc; if (xc == 0 && yc == 0) { if ((xa == xb && ya == yb) || (xa == -yb && ya == xb) || (xa == -xb && ya == -yb) || (xa == yb && ya == -xb)) cout << "YES"; else cout << "NO"; return 0; } if (check(xa, ya, xb, yb, xc, yc) || check(ya, -xa, xb, yb, xc, yc) || check(-xa, -ya, xb, yb, xc, yc) || check(-ya, xa, xb, yb, xc, yc)) cout << "YES"; else cout << "NO"; }
#include <bits/stdc++.h> int main() { int a1, a2, b1, b2, c1, c2; scanf("%d%d%d%d%d%d", &a1, &a2, &b1, &b2, &c1, &c2); if (c1 == 0 && c2 == 0) { if ((a1 == b1 && a2 == b2) || (a1 == -b1 && a2 == -b2) || (a1 == b2 && a2 == -b1) || (a1 == -b2 && a2 == b1)) printf("YES\n"); else printf("NO\n"); return 0; } long long D = (long long)(c1)*c1 + (long long)(c2)*c2; int b1a1 = b1 + a1, b1_a1 = b1 - a1, b1a2 = b1 + a2, b1_a2 = b1 - a2, b2a2 = b2 + a2, b2_a2 = b2 - a2, b2a1 = b2 + a1, b2_a1 = b2 - a1; if (((((b1a1) * (long long)(c1) + (b2a2) * (long long)(c2)) % D) || (((b1a1) * (long long)(c2) - (b2a2) * (long long)(c1)) % D)) && ((((b1_a1) * (long long)(c1) + (b2_a2) * (long long)(c2)) % D) || (((b1_a1) * (long long)(c2) - (b2_a2) * (long long)(c1)) % D)) && ((((b1_a2) * (long long)(c1) + (b2a1) * (long long)(c2)) % D) || (((b1_a2) * (long long)(c2) - (b2a1) * (long long)(c1)) % D)) && ((((b1a2) * (long long)(c1) + (b2_a1) * (long long)(c2)) % D) || (((b1a2) * (long long)(c2) - (b2_a1) * (long long)(c1)) % D))) printf("NO\n"); else printf("YES\n"); return 0; }
#include <bits/stdc++.h> using namespace std; int main() { long long x, y, ax, ay, bx, by, cx, cy, dx, dy, Cx, Cy; int i, j, k, m, n; while (cin >> ax >> ay >> bx >> by >> cx >> cy) { for (i = 0; i < 4; i++) { x = ay; y = -ax; ax = x; ay = y; dx = bx - ax; dy = by - ay; Cx = cy; Cy = -cx; if (cx || cy) { if ((dx * cy - dy * cx) % (Cx * cy - Cy * cx) == 0 && (dx * Cy - dy * Cx) % (cx * Cy - cy * Cx) == 0) { puts("YES"); break; } } else { if (!dx && !dy) { puts("YES"); break; } } } if (i == 4) puts("NO"); } }
#include <bits/stdc++.h> #pragma GCC optimize("Ofast") #pragma GCC target("avx,avx2,fma") using namespace std; const long long N = 1e9 + 5, mod = 1e9 + 7; struct pt { long long x, y; } A, B, C; long long dist(pt a) { return a.x * a.x + a.y * a.y; } long long cross(pt a, pt b) { return a.x * b.y - a.y * b.x; } long long dot(pt a, pt b) { return a.x * b.x + a.y * b.y; } bool chk() { long long d = dist(C); if (d == 0) return A.x == B.x && A.y == B.y; pt tmp; tmp.x = A.x + B.x; tmp.y = A.y + B.y; long long v1 = dot(tmp, C); long long v2 = cross(tmp, C); if (v1 % d != 0 || v2 % d != 0) return 0; return 1; } int main() { ios_base::sync_with_stdio(false); cin.tie(NULL); cout.tie(NULL); cin >> A.x >> A.y >> B.x >> B.y >> C.x >> C.y; for (long long i = 0; i < 4; i++) { if (chk()) return cout << "YES", 0; swap(A.x, A.y); A.y *= -1; } cout << "NO"; }
#include <bits/stdc++.h> using namespace std; long long det(long long a11, long long a12, long long a21, long long a22) { return a11 * a22 - a12 * a21; } bool can(long long ax, long long ay, long long bx, long long by, long long cx, long long cy) { long long dt = det(cy, -cx, cx, cy); bx -= ax; by -= ay; if (dt == 0) { if (!bx && !by) { return true; } else { return false; } } else { long long k = det(by, -cx, bx, cy); long long l = det(cy, by, cx, bx); if (k % dt == 0 && l % dt == 0) { return true; } else { return false; } } } int main() { long long ax, ay, bx, by, cx, cy; cin >> ax >> ay >> bx >> by >> cx >> cy; if (can(ax, ay, bx, by, cx, cy) || can(ay, -ax, bx, by, cx, cy) || can(-ax, -ay, bx, by, cx, cy) || can(-ay, ax, bx, by, cx, cy)) { puts("YES"); } else { puts("NO"); } return 0; }
#include <bits/stdc++.h> #pragma comment(linker, "/STACK:167177216") using namespace std; const int MAX = 2147483647; const int MAXN = 200100; const long long MOD = 1000000000 + 7; vector<long long> t(MAXN, -2000000000); long long n, k, b, c; vector<long long> tmp(MAXN); pair<bool, long long> check(int val) { long long ans = 0; int idx = 0; bool inited = false; for (int i = 0; i < n; ++i) { if (t[i] > val) continue; if (!inited && (n - i) < k) return make_pair(false, 1000000000000000000); inited = true; long long need = val - t[i]; long long cost; if (5 * c <= b) { cost = (long long)need * c; } else { cost = (need / (long long)5) * b + (need % (long long)5) * c; } tmp[idx++] = cost; } sort(tmp.begin(), tmp.begin() + idx); for (int i = 0; i < k; ++i) { ans += tmp[i]; } return make_pair(true, ans); } int main(int argc, char* argv[]) { long long ax, ay, bx, by, cx, cy; cin >> ax >> ay >> bx >> by >> cx >> cy; long long dx = bx - ax; long long dy = by - ay; cx = cx; cy = cy; if (dx == cx && dy == cy || (dx == cy && dy == cx)) { cout << "YES"; return 0; } long long D = cx * cx + cy * cy; long long AD = dx * cx + dy * cy; long long BD = cx * dy - cy * dx; if (D != 0 && AD % D == 0 && BD % D == 0) { cout << "YES"; return 0; } dx = bx + ay; dy = by - ax; cx = cx; cy = cy; if (dx == cx && dy == cy || (dx == cy && dy == cx)) { cout << "YES"; return 0; } D = cx * cx + cy * cy; AD = dx * cx + dy * cy; BD = cx * dy - cy * dx; if (D != 0 && AD % D == 0 && BD % D == 0) { cout << "YES"; return 0; } dx = bx - ay; dy = by + ax; cx = cx; cy = cy; if (dx == cx && dy == cy || (dx == cy && dy == cx)) { cout << "YES"; return 0; } D = cx * cx + cy * cy; AD = dx * cx + dy * cy; BD = cx * dy - cy * dx; if (D != 0 && AD % D == 0 && BD % D == 0) { cout << "YES"; return 0; } dx = bx + ax; dy = by + ay; cx = cx; cy = cy; if (dx == cx && dy == cy || (dx == cy && dy == cx)) { cout << "YES"; return 0; } D = cx * cx + cy * cy; AD = dx * cx + dy * cy; BD = cx * dy - cy * dx; if (D != 0 && AD % D == 0 && BD % D == 0) { cout << "YES"; return 0; } cout << "NO"; return 0; }
#include <bits/stdc++.h> using namespace std; long long a1, a2, b1, b2, c1, c2; long long flag = 0; long long check(long long x, long long y) { x -= b1, y -= b2; long long dis = c1 * c1 + c2 * c2; if (!dis) return !x && !y; return !((c1 * x + c2 * y) % dis) && !((c1 * y - c2 * x) % dis); } signed main() { cin >> a1 >> a2 >> b1 >> b2 >> c1 >> c2; flag |= check(a1, a2); flag |= check(-a1, -a2); flag |= check(a2, -a1); flag |= check(-a2, a1); if (flag) printf("YES"); else printf("NO"); return 0; }
#include <bits/stdc++.h> using namespace std; int main() { long long xa, ya, xb, yb, xc, yc, dx, dy, a, b, c; cin >> xa >> ya; cin >> xb >> yb; cin >> xc >> yc; for (int i = 0; i < 4; i++) { dx = xb - xa, dy = yb - ya; a = dx * xc + dy * yc; b = dx * yc - dy * xc; c = xc * xc + yc * yc; if (dx == 0 && dy == 0) { puts("YES"); return 0; } if (c != 0 && a % c == 0 && b % c == 0) { puts("YES"); return 0; } xa = -xa; swap(xa, ya); } puts("NO"); return 0; }
#include <bits/stdc++.h> using namespace std; long long i, j, k, l, m, n, d, e, f, a, c, b, t, s, g, h; map<long long, long long> y, x; string p; int main() { cin >> i >> j >> n >> m >> c >> d; k = c * c + d * d; if (k == 0) { if (i == n && j == m) t = 1; if (i == -n && j == -m) t = 1; if (j == n && -i == m) t = 1; if (-j == n && i == m) t = 1; if (t == 1) cout << "YES"; else cout << "NO"; return 0; } a = n - i; b = m - j; e = a * c + b * d; f = a * d - b * c; if (e % k == 0 && f % k == 0) t = 1; a = n + i; b = m + j; e = a * c + b * d; f = a * d - b * c; if (e % k == 0 && f % k == 0) t = 1; a = n + j; b = m - i; e = a * c + b * d; f = a * d - b * c; if (e % k == 0 && f % k == 0) t = 1; a = n - j; b = m + i; e = a * c + b * d; f = a * d - b * c; if (e % k == 0 && f % k == 0) t = 1; if (t == 1) cout << "YES"; else cout << "NO"; }
#include <bits/stdc++.h> using namespace std; int Ax, Ay, Bx, By, Cx, Cy; long long det(int a, int b, int c, int d) { return (long long)a * d - (long long)b * c; } int gcd(int a, int b) { if (a == 0) return b; if (b == 0) return a; return gcd(b, a % b); } bool solve2(int a, int b, int c) { if (a == 0 && b == 0) return c == 0; if (a == 0) return c % b == 0 && c / b >= 0; if (b == 0) return c % a == 0 && c / a >= 0; int d = gcd(a, b), q; if (c % d != 0) return false; if (a < 0) { c = -c; b = -b; } if (b > 0) for (q = 0; c - b * q >= 0; q++) if ((c - q * b) % a == 0 && (c - q * b) / a >= 0) return true; else return true; return false; } bool solve(int a1, int b1, int c1, int a2, int b2, int c2) { long long D = det(a1, b1, a2, b2), D1 = det(a1, c1, a2, c2), D2 = det(c1, b1, c2, b2); if (D) return (D1 % D == 0 && D2 % D == 0 && D1 / D >= 0 && D2 / D >= 0); return solve2(a1, b1, c1); } bool go(int cx, int cy, int dx, int dy) { return solve(cx, dx, Bx - Ax, cy, dy, By - Ay); } int main(int argc, char *argv[]) { scanf("%d%d%d%d%d%d", &Ax, &Ay, &Bx, &By, &Cx, &Cy); int i, j; for (i = 0; i < 4; i++) { swap(Ax, Ay); Ax = -Ax; if (Cx == 0 && Cy == 0) { if (Ax == Bx && Ay == By) { printf("YES\n"); return 0; } } else { for (j = 0; j < 4; j++) { swap(Cx, Cy); Cx = -Cx; if (go(Cx, Cy, -Cy, Cx)) { printf("YES\n"); return 0; } } } } printf("NO\n"); return 0; }
#include <bits/stdc++.h> using namespace std; int main() { long long a, b, c, d, x, y; cin >> a >> b >> c >> d >> x >> y; long long x2[5], y2[5], cx = a, cy = b; for (int i = 0; i < 4; i++) { x2[i] = c - cx; y2[i] = d - cy; int tmp = cx; cx = -cy; cy = tmp; } long long anum, den, bnum; bool ans = false; for (int i = 0; i < 4; i++) { den = x * x + y * y; if (den == 0) { if (x2[i] == 0 and y2[i] == 0) { ans = true; break; } continue; } anum = x * x2[i] + y * y2[i]; bnum = x * y2[i] - y * x2[i]; if ((anum % den == 0) && (bnum % den == 0)) { ans = true; break; } } if (ans) { cout << "YES\n"; } else { cout << "NO\n"; } }
#include <bits/stdc++.h> using namespace std; template <typename T, typename TT> ostream &operator<<(ostream &s, pair<T, TT> t) { return s << "(" << t.first << "," << t.second << ")"; } template <typename T> ostream &operator<<(ostream &s, vector<T> t) { s << "{"; for (int i = 0; i < t.size(); i++) s << t[i] << (i == t.size() - 1 ? "" : ","); return s << "}" << endl; } bool div(complex<long long> q, complex<long long> p) { q *= complex<long long>(p.real(), -p.imag()); long long pm = p.real() * p.real() + p.imag() * p.imag(); return (q.real() % pm == 0 && q.imag() % pm == 0); } int main() { ios_base::sync_with_stdio(0); long long a1, a2, b1, b2, c1, c2; cin >> a1 >> a2 >> b1 >> b2 >> c1 >> c2; complex<long long> C(c1, c2), A(a1, a2), B(b1, b2); complex<long long> i(0, 1); if (C == complex<long long>(0, 0)) { for (int j = 0; j < 9; j++) { A *= i; if (A == B) { cout << "YES"; return 0; } } cout << "NO"; return 0; } for (int j = 0; j < 9; j++) { A *= i; if (div(B - A, C)) { cout << "YES"; return 0; } } cout << "NO"; return 0; }
#include <bits/stdc++.h> using namespace std; long long a, b, u, v, x, y, o; bool check(long long a, long long b) { if (!o) return (a == u && b == v); return ((u - a) * x + (v - b) * y) % o == 0 && ((a - u) * y + (v - b) * x) % o == 0; } int main() { cin >> a >> b >> u >> v >> x >> y; o = x * x + y * y; if (check(a, b) || check(b, -a) || check(-a, -b) || check(-b, a)) cout << "YES"; else cout << "NO"; return 0; }
#include <bits/stdc++.h> using namespace std; pair<long long int, long long int> mult(pair<long long int, long long int> x, pair<long long int, long long int> y) { return pair<long long int, long long int>( x.first * y.first - x.second * y.second, x.first * y.second + x.second * y.first); } pair<long long int, long long int> sub(pair<long long int, long long int> x, pair<long long int, long long int> y) { return pair<long long int, long long int>(x.first - y.first, x.second - y.second); } pair<long long int, long long int> conj(pair<long long int, long long int> x) { return pair<long long int, long long int>(x.first, -x.second); } long long int lenSqr(pair<long long int, long long int> x) { return x.first * x.first + x.second * x.second; } int main() { ios_base::sync_with_stdio(0); pair<long long int, long long int> A, B, C; cin >> A.first >> A.second >> B.first >> B.second >> C.first >> C.second; pair<long long int, long long int> iK(1, 0); bool good = false; for (int i = (0); i <= (3); ++i) { if (mult(A, iK) == B) good = true; pair<long long int, long long int> R = sub(B, mult(A, iK)); R = mult(R, conj(C)); long long int d = lenSqr(C); if (d && R.first % d == 0 && R.second % d == 0) good = true; iK = mult(iK, pair<long long int, long long int>(0, 1)); } if (good) cout << "YES"; else cout << "NO"; return 0; }
#include <bits/stdc++.h> using namespace std; int stmp; struct vrt { long long x, y; vrt() {} vrt(long long x, long long y) : x(x), y(y) {} vrt operator-(const vrt& rhs) const { return vrt(x - rhs.x, y - rhs.y); } long long operator*(const vrt& rhs) const { return x * rhs.x + y * rhs.y; } long long len() const { return x * x + y * y; } vrt rot() { vrt r; r.y = x; r.x = -y; return r; } }; vrt scan() { vrt a; cin >> a.x; cin >> a.y; return a; } bool solve(vrt t, vrt c) { long long a = t * c; long long b = t * c.rot(); long long cc = c.rot().len(); if (cc == 0) return t.x == 0 && t.y == 0; if (0) cout << "a " << a << " b " << b << " cc " << (int)cc << endl; long long aa = a; long long bb = b; return aa % cc == 0 && bb % cc == 0; } bool test(vrt a, vrt b, vrt c) { for (int(i) = 0; (i) < int(4); (i)++) { if (solve(b - a, c)) return 1; a = a.rot(); } return 0; } int main() { vrt a, b, c; a = scan(); b = scan(); c = scan(); if (test(a, b, c)) printf("YES\n"); else printf("NO\n"); return 0; }
#include <bits/stdc++.h> using namespace std; long long xa, ya, xb, yb, xc, yc, xd, yd; bool getAC() { if (xc == 0 && yc == 0) { if (xd == 0 && yd == 0) { return true; } else return false; } else { long long tmp = xc * xc + yc * yc; long long t1 = yd * xc - xd * yc; long long t2 = yd * yc + xd * xc; if (t1 % tmp == 0 && t2 % tmp == 0) { return true; } else return false; } } int main() { cin >> xa >> ya >> xb >> yb >> xc >> yc; for (int i = 0; i < 4; i++) { if (i == 0) { xd = xb - xa; yd = yb - ya; } else if (i == 1) { xd = xb - ya; yd = yb + xa; } else if (i == 2) { xd = xb + xa; yd = yb + ya; } else if (i == 3) { xd = xb + ya; yd = yb - xa; } if (getAC()) { cout << "YES" << endl; return 0; } } cout << "NO" << endl; return 0; }
#include <bits/stdc++.h> using namespace std; struct vect { long long x, y; vect() {} vect(long long a, long long b) { x = a; y = b; } }; vect operator+(const vect& a, const vect& b) { return vect(a.x + b.x, a.y + b.y); } vect operator-(const vect& a, const vect& b) { return vect(a.x - b.x, a.y - b.y); } vect mul(const vect& a) { return vect(-a.y, a.x); } bool solve(vect c, vect d) { if (c.x == 0) { if (c.y != 0) { if (d.x % c.y == 0 && d.y % c.y == 0) return true; return false; } else return d.x == 0 && d.y == 0; } long long p = d.y * c.x - c.y * d.x; long long q = c.x * c.x + c.y * c.y; if (p % q) return false; long long b = p / q; if ((d.x + b * c.y) % c.x) return false; return true; } int main() { vect a, b, c; cin >> a.x >> a.y >> b.x >> b.y >> c.x >> c.y; if (solve(c, b - a) || solve(c, b - mul(a)) || solve(c, b + a) || solve(c, b + mul(a))) printf("YES"); else printf("NO"); return 0; }
#include <bits/stdc++.h> using namespace std; const int INF = 0x3f3f3f3f; long long ax, ay, bx, by, cx, cy; int solve(long long x, long long y) { x = bx - x, y = by - y; if (cx == 0 && cy == 0) { if (x == 0 && y == 0) return 1; return 0; } else { if ((y * cx - x * cy) % (cy * cy + cx * cx) != 0) return 0; long long b = (y * cx - x * cy) / (cy * cy + cx * cx); if (cx) { if ((x + b * cy) % cx != 0) return 0; return 1; } else if (cy) { if (y % cy != 0) return 0; return 1; } else { if (y == 0) return 1; return 0; } } } int main() { while ( ~scanf("%lld %lld %lld %lld %lld %lld", &ax, &ay, &bx, &by, &cx, &cy)) { int flag = 0; if (solve(ax, ay)) flag = 1; if (solve(-ax, -ay)) flag = 1; if (solve(ay, -ax)) flag = 1; if (solve(-ay, ax)) flag = 1; if (flag) printf("YES\n"); else printf("NO\n"); } return 0; }
#include <bits/stdc++.h> using namespace std; bool solve(long long a, long long b, long long c, long long d, long long e, long long f) { if ((e || f) && (!a && !b && !c && !d)) return false; long long det = a * d - b * c; if (det == 0) { return abs(f * a) == abs(c * e); } else { return abs(d * e - b * f) % det == 0 && abs(-c * e + a * f) % det == 0; } } int ax, ay, bx, by, cx, cy; int main() { cin >> ax >> ay >> bx >> by >> cx >> cy; bool flag = false; for (int i = 0; i < 4; i++) { if (solve(cx, -cy, cy, cx, bx - ax, by - ay)) flag = true; swap(ax, ay); ax = -ax; } printf("%s\n", flag ? "YES" : "NO"); }
#include <bits/stdc++.h> using namespace std; double const pi = 3.1415926535897932384626433832795; int const inf = (int)1e9; long long const inf64 = (long long)2e18; const string name = "c"; long long ax, ay, bx, by, cx, cy; void rotate(long long &x, long long &y) { long long xx = -y, yy = x; x = xx, y = yy; } void answer() { cout << "YES" << endl; exit(0); } void solve(long long x, long long y) { if (cx == 0 && cy == 0) { if (x == 0 && y == 0) answer(); return; } if (cx == 0 || cy == 0) { long long zn = cx + cy; if (zn < 0) zn = -zn; if (x % zn == 0 && y % zn == 0) answer(); return; } if ((x * cy - y * cx) % (cx * cx + cy * cy) == 0 && (y * cy + x * cx) % (cx * cx + cy * cy) == 0) answer(); } int main() { cin >> ax >> ay; cin >> bx >> by; cin >> cx >> cy; for (int i = 0; i < (int)4; i++) { for (int j = 0; j < (int)4; j++) { solve(bx - ax, by - ay); rotate(bx, by); } rotate(ax, ay); } cout << "NO" << endl; return 0; }
#include <bits/stdc++.h> using namespace std; struct pnt { int x, y; long long dist() { return 1ll * x * x + 1ll * y * y; } pnt operator-(const pnt &a) const { return pnt{x - a.x, y - a.y}; } long long operator*(const pnt &a) const { return 1ll * x * a.y - 1ll * y * a.x; } void in() { scanf("%d%d", &x, &y); } void rot() { swap(x, y); x *= -1; } bool net(pnt a) { if (x == 0 && y == 0) return a.x == 0 && a.y == 0; return a.dist() % dist() == 0 && a * (*this) % dist() == 0; } } A, B, C; int main() { A.in(), B.in(), C.in(); if (C.net(B - A)) { puts("YES"); return 0; } A.rot(); if (C.net(B - A)) { puts("YES"); return 0; } A.rot(); if (C.net(B - A)) { puts("YES"); return 0; } A.rot(); if (C.net(B - A)) { puts("YES"); return 0; } puts("NO"); }
#include <bits/stdc++.h> using namespace std; int T; long long xa, xb, xc, ya, yb, yc; long long dx, dy; bool gao(long long xc, long long yc) { if (xc == 0 && yc == 0) return false; return (dx * xc + dy * yc) % (xc * xc + yc * yc) == 0; } bool check(long long xa, long long ya) { dx = xb - xa; dy = yb - ya; if (dx == 0 && dy == 0) return true; return gao(xc, yc) && gao(-yc, xc); } bool judge() { if (check(xa, ya)) return true; if (check(-ya, xa)) return true; if (check(-xa, -ya)) return true; if (check(ya, -xa)) return true; return false; } int main() { scanf("%lld%lld%lld%lld%lld%lld", &xa, &ya, &xb, &yb, &xc, &yc); printf("%s\n", judge() ? "YES" : "NO"); return 0; }
#include <bits/stdc++.h> #pragma comment(linker, "/STACK:33554432") using namespace std; const double PI = 2 * acos(0.0); const double EPS = 1e-8; const int INF = (1 << 30) - 1; long long x0, yyyyy0, x1, yyyyy1, x, y; bool can(long long x0, long long yyyyy0, long long x, long long y) { long long n = ((x0 * x + yyyyy0 * y) >= 0 ? (x0 * x + yyyyy0 * y) : -(x0 * x + yyyyy0 * y)); ; long long d = x * x + y * y; if (d == 0) { return (x0 == 0 && yyyyy0 == 0); }; if (n % d > 0) return false; n = ((x0 * y - yyyyy0 * x) >= 0 ? (x0 * y - yyyyy0 * x) : -(x0 * y - yyyyy0 * x)); ; if (n % d > 0) return false; return true; }; int main() { cin >> x0 >> yyyyy0 >> x1 >> yyyyy1 >> x >> y; for (int i = 0; i < 4; ++i) { if (can(x1 - x0, yyyyy1 - yyyyy0, x, y)) { cout << "YES"; return 0; }; long long tx, ty; tx = yyyyy1; ty = -x1; x1 = tx; yyyyy1 = ty; }; cout << "NO"; return 0; };
#include <bits/stdc++.h> #pragma GCC optimize("O2") #pragma comment(linker, "/STACK:16777216") using namespace std; const int N = 1001; long long gcd(long long a, long long b) { return b ? gcd(b, a % b) : a; } long long x, y, dx, dy, xx, yy; bool ok(long long tx, long long ty) { long long d = gcd(abs(dx), abs(dy)); if (d == 0) { return tx == 0 && ty == 0; } if (tx % d || ty % d) return false; long long temp = dx * dx + dy * dy; if (temp == 0) { return tx == ty; } else { long long sum1 = tx * dx + dy * ty; long long sum2 = dy * tx - dx * ty; return sum1 % temp == 0 && sum2 % temp == 0; } } bool judge() { if (ok(x - xx, y - yy) || ok(x + xx, y + yy) || ok(x + yy, y - xx) || ok(x - yy, y + xx)) return true; return false; } int main() { while (cin >> x >> y >> xx >> yy >> dx >> dy) { puts(judge() ? "YES" : "NO"); } }
#include <bits/stdc++.h> using namespace std; long long ax, ay, bx, by, cx, cy; long long AX[4], AY[4], CX[4], CY[4]; bool judge(long long ax, long long ay, long long cx, long long cy) { if (cx == 0 && cy == 0) return ax == bx && ay == by; long long zi1 = abs((bx - ax) * cx + (by - ay) * cy); long long zi2 = abs(cx * (by - ay) - cy * (bx - ax)); long long mu = abs(cx * cx + cy * cy); if (mu) if (zi1 % mu || zi2 % mu) return 0; if (!mu && (zi1 || zi2)) return 0; return 1; } int main() { cin >> ax >> ay >> bx >> by >> cx >> cy; AX[0] = ax, AY[0] = ay; AX[1] = -ay, AY[1] = ax; AX[2] = -ax, AY[2] = -ay; AX[3] = ay, AY[3] = -ax; CX[0] = cx, CY[0] = cy; CX[1] = -cy, CY[1] = cx; CX[2] = -cx, CY[2] = -cy; CX[3] = cy, CY[3] = -cx; for (int i = 0; i < 4; i++) for (int j = 0; j < 4; j++) if (judge(AX[i], AY[i], CX[j], CY[j])) return cout << "YES", 0; cout << "NO"; }
#include <bits/stdc++.h> using ll = long long; bool achievable(ll X, ll Y, ll xc, ll yc) { if (!(xc | yc)) return !(X | Y); ll vol = xc * xc + yc * yc; if ((X * xc + Y * yc) % vol) return 0; if ((X * yc - Y * xc) % vol) return 0; return 1; } int main() { ll xa, ya, xb, yb, xc, yc; scanf("%lld%lld%lld%lld%lld%lld", &xa, &ya, &xb, &yb, &xc, &yc); printf("%s\n", achievable(xb - xa, yb - ya, xc, yc) || achievable(xb - ya, yb + xa, xc, yc) || achievable(xb + xa, yb + ya, xc, yc) || achievable(xb + ya, yb - xa, xc, yc) ? "YES" : "NO"); }
#include <bits/stdc++.h> long long Ax, Ay, Bx, By, dx, dy, d; bool check(long long x, long long y) { return !d && !x && !y || d && (dx * y - dy * x) % d == 0 && (dx * x + dy * y) % d == 0; } int main() { scanf("%I64d%I64d%I64d%I64d%I64d%I64d", &Ax, &Ay, &Bx, &By, &dx, &dy); long long bx[] = {Bx, -By, -Bx, By}, by[] = {By, Bx, -By, -Bx}; d = dx * dx + dy * dy; for (int j = 0; j < 4; ++j) if (check(bx[j] - Ax, by[j] - Ay)) return puts("YES"), 0; puts("NO"); return 0; }
#include <bits/stdc++.h> using namespace std; using namespace std; const int MaxN = 10004, NA = -1, MaxC = 0x3F3F3F3F; bool go(long long x1, long long y1, long long x2, long long y2, long long x3, long long y3) { long long a[2][2]; long long v[2]; long long w[2]; long long d; a[0][0] = x2; a[0][1] = y2; a[1][0] = -y2; a[1][1] = x2; v[0] = x3 - x1; v[1] = y3 - y1; d = (long long)x2 * x2 + (long long)y2 * y2; if (d == 0) return v[0] == 0 && v[1] == 0; w[0] = a[0][0] * v[0] + a[0][1] * v[1]; w[1] = a[1][0] * v[0] + a[1][1] * v[1]; assert(true); assert(true); assert(true); assert(true); assert(true); assert(true); assert(true); if (w[0] % d == 0 && w[1] % d == 0) return true; return false; } int main(void) { int x1, y1, x2, y2, x3, y3; while (scanf(" %d %d %d %d %d %d", &x1, &y1, &x3, &y3, &x2, &y2) != EOF) { if (go(x1, y1, x2, y2, +x3, +y3) || go(x1, y1, x2, y2, -y3, +x3) || go(x1, y1, x2, y2, -x3, -y3) || go(x1, y1, x2, y2, +y3, -x3)) printf("YES\n"); else printf("NO\n"); } return 0; }
#include <bits/stdc++.h> using namespace std; struct vect { long long x, y; void read() { cin >> x >> y; } long long length() { return x * x + y * y; } }; long long operator*(vect a, vect b) { return a.x * b.x + a.y * b.y; } vect rot(vect a) { vect b; b.x = a.y; b.y = -a.x; return b; } vect opposite(vect a) { vect b; b.x = -a.x; b.y = -a.y; return b; } int main() { vect a, b, c, d; a.read(); b.read(); c.read(); if (c.x == 0 && c.y == 0) { if (a.length() == b.length() && (a * b == 0 || rot(a) * b == 0)) { cout << "YES"; return 0; } else { cout << "NO"; return 0; } } d = rot(c); for (int i = 0; i < 4; i++) { long long x = b.x - a.x, y = b.y - a.y; if (!c.x) swap(c, d); long long rest1 = (y * c.x - x * c.y) % (c.x * d.y - c.y * d.x); long long beta = (y * c.x - x * c.y) / (c.x * d.y - c.y * d.x); long long rest2 = (x - beta * d.x) % c.x; long long alpha = (x - beta * d.x) / c.x; if (rest1 == 0 && rest2 == 0) { cout << "YES"; return 0; } if (i % 2 == 0) a = opposite(a); else a = rot(a); } cout << "NO"; return 0; }
#include <bits/stdc++.h> using namespace std; void rot(pair<int, int> &p) { swap(p.first, p.second); p.first *= -1; } double norm(pair<int, int> p) { double x = p.first, y = p.second; return sqrt(x * x + y * y); } long long qua(double siz, pair<int, int> b) { double bs = norm(b); return round(siz / bs); } bool make(pair<int, int> t, pair<int, int> b) { if (t.first == 0 && t.second == 0) return true; if (b.first == 0 && b.second == 0) return t == b; double bm = norm(b); double dp = (t.first * 1.0 * b.first + t.second * 1.0 * b.second); double sz = dp / bm; long long v1 = qua(sz, b); double rs = sqrt(max(pow(norm(t), 2) - sz * sz, 1e-9)); long long v2 = qua(rs, b); long long x = b.first * v1; long long y = b.second * v1; for (int i = 0; i < 4; i++) { if (x + b.first * v2 == t.first && y + b.second * v2 == t.second) { return true; } rot(b); } return false; } int main() { ios_base::sync_with_stdio(false); cin.tie(0), cout.tie(0), cout.precision(15); pair<int, int> a, b, c; cin >> a.first >> a.second; cin >> b.first >> b.second; cin >> c.first >> c.second; for (int i = 0; i < 4; i++) { pair<int, int> d = {b.first - a.first, b.second - a.second}; if (make(d, c)) { cout << "YES\n"; return 0; } rot(a); } cout << "NO\n"; }
#include <bits/stdc++.h> const double eps = 1e-9; const double pi = acos(-1); using namespace std; bool divis(const complex<long long>& a, const complex<long long>& b) { complex<long long> C(0, 0); C = a / b; return (b * C == a); } int main() { long long x, y; cin >> x >> y; complex<long long> A(x, y); cin >> x >> y; complex<long long> B(x, y); cin >> x >> y; complex<long long> C(x, y); complex<long long> I(0, 1); int ans = 0; if (C.real() == 0 && C.imag() == 0) { if (A == B) ans = 1; else if (-A == B) ans = 1; else if (B == A * I) ans = 1; else if (B == -A * I) ans = 1; } else { if (divis(B - A, C)) ans = 1; else if (divis(B + A, C)) ans = 1; else if (divis(B - A * I, C)) ans = 1; else if (divis(B + A * I, C)) ans = 1; } if (ans) cout << "YES\n"; else cout << "NO\n"; return 0; }
#include <bits/stdc++.h> #pragma comment(linker, "/STACK:16777216") using namespace std; const double pi = 3.14159265358979323846264338327950288419716939937511; const double eps = 1e-11; char ch_ch_ch[1 << 20]; string gs() { scanf("%s", ch_ch_ch); return string(ch_ch_ch); } string gl() { gets(ch_ch_ch); return string(ch_ch_ch); } vector<double> prob; vector<vector<double> > a; int gcd(int a, int b) { return b ? gcd(b, a % b) : a; } vector<double> gauss2(vector<vector<double> > a, int &sol) { int n = a.size(), m = a[0].size(); vector<double> res; vector<char> was(m, 0); sol = -1; int i, p; for (i = 0, p = 0; p < n && i < m; ++i) { int k = p; for (int j = (p + 1); j < (n); ++j) if (abs(a[j][i]) > abs(a[k][i])) k = j; if (abs(a[k][i]) < eps) continue; for (int j = (i); j < (m); ++j) swap(a[k][j], a[p][j]); for (int j = (i + 1); j < (m); ++j) a[p][j] /= a[p][i]; a[p][i] = 1; was[i] = 1; for (int j = 0; j < (n); ++j) if (j != p) { for (int k = (i + 1); k < (m); ++k) a[j][k] -= a[j][i] * a[p][k]; a[j][i] = 0; } if (i == m - 1) sol = 0; ++p; } if (sol == -1 && p < m - 1) sol = 2; else if (sol == -1) sol = 1; p = 0; res.resize(m - 1, 0); for (int i = 0; i < (m - 1); ++i) if (was[i]) res[i] = a[p++][m - 1]; return res; } int rank(vector<vector<double> > a) { int n = a.size(), m = a[0].size(); int p = 0; for (int i = 0; i < m && p < min(n, m); ++i) { int maxrow = p; for (int j = p + 1; j < n; ++j) if (abs(a[maxrow][i]) < abs(a[j][i])) maxrow = j; swap(a[maxrow], a[p]); if (abs(a[p][i]) < eps) continue; for (int j = i + 1; j < m; ++j) a[p][j] /= a[p][i]; a[p][i] = 1; for (int j = 0; j < n; ++j) if (p != j) { for (int k = i + 1; k < m; ++k) a[j][k] -= a[j][i] * a[p][k]; a[j][i] = 0; } p++; } return p; } int solve(int x, int y, int tx, int ty, int dx, int dy) { a.resize(2, vector<double>(3, 0)); a[0][0] = dx, a[0][1] = dy, a[0][2] = tx - x; a[1][0] = dy, a[1][1] = -dx, a[1][2] = ty - y; int r; prob = gauss2(a, r); if (r == 0) { return 0; } if (r == 1) { long long kx = (long long)floor(prob[0] + 0.5); long long ky = (long long)floor(prob[1] + 0.5); if (dx * kx + dy * ky == (long long)(tx - x) && dy * kx - dx * ky == (long long)(ty - y)) return 1; return 0; } if (gcd(abs(dx), abs(dy)) == 0) return abs(tx - x) == 0; if (abs(tx - x) % gcd(abs(dx), abs(dy)) == 0) return 1; return 0; } void solution() { int x, y, dx, dy, tx, ty; scanf("%d%d%d%d%d%d", &x, &y, &tx, &ty, &dx, &dy); if (solve(x, y, tx, ty, dx, dy) || solve(x, y, -ty, tx, dx, dy) || solve(x, y, ty, -tx, dx, dy) || solve(x, y, -tx, -ty, dx, dy)) printf("YES\n"); else printf("NO\n"); } int main() { solution(); return 0; }
#include <bits/stdc++.h> using namespace std; const int MOD = 1000; const int MAXN = 1e7 + 5; struct Vector { long long x, y; }; Vector ta[4], a, b, c; int f; long long mu; bool judge(Vector a) { Vector tmp; tmp.x = b.x - a.x, tmp.y = b.y - a.y; if (mu == 0) { if (tmp.x == 0 && tmp.y == 0) { return true; } return false; } if ((((tmp.x * c.y - tmp.y * c.x) % mu) == 0) && (((tmp.x * c.x + tmp.y * c.y) % mu) == 0)) return true; return false; } int main() { scanf("%lld%lld%lld%lld%lld%lld", &a.x, &a.y, &b.x, &b.y, &c.x, &c.y); ta[0] = a; ta[1].x = -a.x, ta[1].y = -a.y; ta[2].x = a.y, ta[2].y = -a.x; ta[3].x = -a.y, ta[3].y = a.x; mu = c.x * c.x + c.y * c.y; for (int i = 0; i < 4; i++) if (judge(ta[i])) { f = 1; break; } if (f) printf("YES\n"); else printf("NO\n"); return 0; }
#include <bits/stdc++.h> int check(long long xa, long long ya, long long xc, long long yc, long long xb, long long yb) { long long a1, b1, c1, a2, b2, c2, a3, b3, c3, a4, b4, c4, c0, d0, c, d; long long x1, y1, x2, y2, x3, y3, x4, y4, f1, f2; if (xc == 0 && yc == 0) { if (xa == xb && ya == yb) return 1; return 0; } x1 = xa; y1 = ya; x2 = x1 + xc; y2 = y1 + yc; x3 = xa - yc; y3 = ya + xc; x4 = x3 + xc; y4 = y3 + yc; a1 = y2 - y1; b1 = x1 - x2; c1 = x2 * y1 - x1 * y2; a2 = y4 - y3; b2 = x3 - x4; c2 = x4 * y3 - x3 * y4; a3 = y3 - y1; b3 = x1 - x3; c3 = x3 * y1 - x1 * y3; a4 = y4 - y2; b4 = x2 - x4; c4 = x4 * y2 - x2 * y4; c0 = c2 - c1; d0 = c4 - c3; c = -a1 * xb - b1 * yb; d = b1 * xb - a1 * yb; f1 = f2 = 0; if (c == c0 && c0 == 0) f1 = 1; if (c0 == 0 && c != 0) f1 = -1; if (!f1) if (!((c - c1) % c0)) f1 = 1; else f1 = -1; if (d == d0 && d0 == 0) f2 = 1; if (d0 == 0 && d != 0) f2 = -1; if (!f2) if (!((d - c3) % d0)) f2 = 1; else f2 = -1; if (f1 + f2 == 2) return 1; return 0; } int main() { long long xa, ya, xc, yc, xb, yb; scanf("%lld %lld %lld %lld %lld %lld", &xa, &ya, &xb, &yb, &xc, &yc); if (check(xa, ya, xc, yc, xb, yb)) { printf("YES"); return 0; } if (check(-xa, -ya, xc, yc, xb, yb)) { printf("YES"); return 0; } if (check(-ya, xa, xc, yc, xb, yb)) { printf("YES"); return 0; } if (check(ya, -xa, xc, yc, xb, yb)) { printf("YES"); return 0; } printf("NO"); }
#include <bits/stdc++.h> using namespace std; inline void pisz(int n) { printf("%d\n", n); } template <typename T, typename TT> ostream& operator<<(ostream& s, pair<T, TT> t) { return s << "(" << t.first << "," << t.second << ")"; } template <typename T> ostream& operator<<(ostream& s, vector<T> t) { for (int(i) = 0; (i) < (t.size()); ++(i)) s << t[i] << " "; return s; } bool check(long long cx, long long cy, long long ux, long long uy) { if (cx == 0 && cy == 0) { return (cx == ux && cy == uy); } long long detA = -cx * cx - cy * cy; long long detA1 = -cx * ux - cy * uy; long long detA2 = cx * uy - ux * cy; if (detA1 % detA != 0) return false; if (detA2 % detA != 0) return false; return true; } int main() { int(ax1), (ay1); scanf("%d %d", &(ax1), &(ay1)); int(bx1), (by1); scanf("%d %d", &(bx1), &(by1)); int(cx1), (cy1); scanf("%d %d", &(cx1), &(cy1)); long long ax = ax1, bx = bx1, cx = cx1, ay = ay1, by = by1, cy = cy1; vector<pair<long long, long long> > v; v.push_back(make_pair(bx - ax, by - ay)); v.push_back(make_pair(bx - ay, by + ax)); v.push_back(make_pair(bx + ax, by + ay)); v.push_back(make_pair(bx + ay, by - ax)); for (int(j) = 0; (j) < (4); ++(j)) if (check(cx, cy, v[j].first, v[j].second)) { printf("YES\n"); return 0; } printf("NO\n"); }
#include <bits/stdc++.h> using namespace std; const long double eps = 1e-9; long long xabs(long long a) { return a < 0 ? -a : +a; } bool check(long long p, long long q, long long x, long long y, long long a, long long b) { if (a * x + b * y == p && a * y - b * x == q) return true; else return false; } bool can(long long ax, long long ay, long long bx, long long by, long long x, long long y) { long long p = bx - ax; long long q = by - ay; if (x == 0 && y == 0) { if (p == 0 && q == 0) return true; else return false; } if (y != 0) swap(x, y), swap(p, q); long long b = (p * y - q * x) / (y * y + x * x); long long a = (p - b * y) / x; if (check(p, q, x, y, a, b)) return true; else return false; } int main() { long long ax, ay, bx, by, x, y; cin >> ax >> ay >> bx >> by >> x >> y; bool fl = false; for (int i = 0; i < 4; ++i) { fl |= can(ax, ay, bx, by, x, y); swap(ax, ay); ax = -ax; } if (fl) cout << "YES" << endl; else cout << "NO" << endl; return 0; }
#include <bits/stdc++.h> using namespace std; bool div(const complex<long long>& a, const complex<long long>& b) { complex<long long> c(0, 0); c = a / b; return (b * c == a); } int main() { long long a, b; cin >> a >> b; complex<long long> A(a, b); cin >> a >> b; complex<long long> B(a, b); cin >> a >> b; complex<long long> C(a, b); complex<long long> I(0, 1); bool flag = 0; if (C.real() == 0 && C.imag() == 0) { if (A == B) flag = 1; else if (B == -A) flag = 1; else if (B == A * I) flag = 1; else if (B == -A * I) flag = 1; } else { if (div(B - A, C)) flag = 1; else if (div(B + A, C)) flag = 1; else if (div(B - A * I, C)) flag = 1; else if (div(B + A * I, C)) flag = 1; } if (flag) cout << "YES" << endl; else cout << "NO" << endl; return 0; }
#include <bits/stdc++.h> using namespace std; int main() { double i, k, l, j, x1, y1, x2, y2, x3, y3, a, b, c, d; cin >> x1 >> y1 >> x2 >> y2 >> x3 >> y3; if (x3 == 0 && y3 == 0) { if ((x1 + x2) == 0 && (y2 + y1) == 0) { cout << "YES" << endl; return 0; } else if ((x1 - x2) == 0 && (y2 - y1) == 0) { cout << "YES" << endl; return 0; } else if ((x1 + y2) == 0 && (x2 - y1) == 0) { cout << "YES" << endl; return 0; } else if ((x1 - y2) == 0 && (x2 + y1) == 0) { cout << "YES" << endl; return 0; } } else { a = x1 + x2; b = y1 + y2; c = abs((a * x3 + b * y3) / (x3 * x3 + y3 * y3)); d = abs((b * x3 - a * y3) / (x3 * x3 + y3 * y3)); if (floor(c) == c && floor(d) == d) { cout << "YES" << endl; return 0; } a = -x1 + x2; b = -y1 + y2; c = abs((a * x3 + b * y3) / (x3 * x3 + y3 * y3)); d = abs((b * x3 - a * y3) / (x3 * x3 + y3 * y3)); if (floor(c) == c && floor(d) == d) { cout << "YES" << endl; return 0; } a = -y1 + x2; b = x1 + y2; c = abs((a * x3 + b * y3) / (x3 * x3 + y3 * y3)); d = abs((b * x3 - a * y3) / (x3 * x3 + y3 * y3)); if (floor(c) == c && floor(d) == d) { cout << "YES" << endl; return 0; } a = y1 + x2; b = -x1 + y2; c = abs((a * x3 + b * y3) / (x3 * x3 + y3 * y3)); d = abs((b * x3 - a * y3) / (x3 * x3 + y3 * y3)); if (floor(c) == c && floor(d) == d) { cout << "YES" << endl; return 0; } } cout << "NO" << endl; return 0; }
#include <bits/stdc++.h> using namespace std; const long double epsilon = 1e-9; int cxG, cyG; set<pair<int, int> > reached; void makeMove(int x, int y) { queue<pair<int, int> > toMove; toMove.push(make_pair(x, y)); pair<int, int> cur; while (!toMove.empty()) { cur = toMove.front(); toMove.pop(); x = cur.first; y = cur.second; if (reached.find(make_pair(y, -x)) == reached.end()) { reached.insert(make_pair(y, -x)); toMove.push(make_pair(y, -x)); } if (abs(x + cxG) < 200 && abs(y + cyG) < 200 && reached.find(make_pair(x + cxG, y + cyG)) == reached.end()) { reached.insert(make_pair(x + cxG, y + cyG)); toMove.push(make_pair(x + cxG, y + cyG)); } } } void tester() { int ax, ay; cin >> ax >> ay >> cxG >> cyG; reached.insert(make_pair(ax, ay)); makeMove(ax, ay); for (int i = 0; i < 20; i++) { for (int j = 0; j < 20; j++) { if (reached.find(make_pair(i, j)) == reached.end()) cout << " 0"; else cout << " 1"; } cout << endl; } } bool tester(int ax, int ay, int bx, int by, int cx, int cy) { cxG = cx; cyG = cy; reached.insert(make_pair(ax, ay)); makeMove(ax, ay); return reached.find(make_pair(bx, by)) != reached.end(); } bool tryIt(long long x, long long y, long long bx, long long by) { if (bx == 0 && by == 0) { return x == 0 && y == 0; } if ((x * bx + y * by) % (bx * bx + by * by) != 0) { return false; } long long k = (x * bx + y * by) / (bx * bx + by * by); if (by != 0) { return (x - k * bx) % by == 0; } else return y % bx == 0; } bool solve(int ax, int ay, int bx, int by, int cx, int cy) { int tmp; while (cx < 0 || cy < 0) { tmp = cx; cx = cy; cy = -tmp; } for (int j = 0; j < 4; j++) { if (tryIt(bx - ax, by - ay, cx, cy)) { return true; } tmp = ax; ax = ay; ay = -tmp; } return false; } int main() { int ax, ay, bx, by, cx, cy; cin >> ax >> ay >> bx >> by >> cx >> cy; bool does = solve(ax, ay, bx, by, cx, cy); if (does) cout << "YES" << endl; else cout << "NO" << endl; return 0; }
#include <bits/stdc++.h> using namespace std; int nextInt() { int x; scanf("%d", &x); return x; } const int BUFSIZE = 100111; char buf[BUFSIZE + 1]; string nextString() { scanf("%s", buf); return buf; } long long det(long long a, long long b, long long c, long long d) { return a * d - b * c; } long long gcd(long long a, long long b) { return b == 0 ? a : gcd(b, a % b); } bool isSolvable(long long A1, long long B1, long long C1, long long A2, long long B2, long long C2) { if (A1 == 0 && B1 == 0 && C1 != 0 || A2 == 0 && B2 == 0 && C2 != 0) { return false; } long long D = det(A1, B1, A2, B2); long long Dx = det(C1, B1, C2, B2); long long Dy = det(A1, C1, A2, C2); if (D == 0) { if (A1 == 0 && B1 == 0) { if (A2 == 0 && B2 == 0) { return true; } else { return C2 % gcd(A2, B2) == 0; } } else { return C1 % gcd(A1, B1) == 0; } } return Dx % D == 0 && Dy % D == 0; } bool isSolvable(long long x, long long y, long long cx1, long long cx2, long long cy1, long long cy2, long long x2, long long y2) { return isSolvable(cx1, cy1, x2 - x, cx2, cy2, y2 - y); } int main() { long long x1 = nextInt(); long long y1 = nextInt(); long long x2 = nextInt(); long long y2 = nextInt(); long long cx = nextInt(); long long cy = nextInt(); bool res = isSolvable(x1, y1, cx, cy, cy, -cx, x2, y2) || isSolvable(y1, -x1, -cx, -cy, cy, -cx, x2, y2) || isSolvable(-x1, -y1, -cx, -cy, -cy, cx, x2, y2) || isSolvable(-y1, x1, cx, cy, -cy, cx, x2, y2); cout << (res ? "YES" : "NO") << endl; return 0; }
#include <bits/stdc++.h> using namespace std; long long a1, b1, a2, b2, a3, b3; bool is(long long x, long long y) { x = a2 - x; y = b2 - y; if (a3 == 0 && b3 == 0) { if (x == 0 && y == 0) return true; return false; } else if (a3 == 0) { if (x / b3 == (float)x / b3 && y / b3 == (float)y / b3) return true; return false; } else if (b3 == 0) { if (x / a3 == (float)x / a3 && y / a3 == (float)y / a3) return true; return false; } else { long long b = (x * b3 - y * a3) / (a3 * a3 + b3 * b3); if ((a3 * a3 + b3 * b3) * b != x * b3 - y * a3) return false; else { long long a = (x - b * b3) / a3; if (a * a3 + b * b3 == x) return true; return false; } } } int main() { scanf("%lld%lld", &a1, &b1); scanf("%lld%lld", &a2, &b2); scanf("%lld%lld", &a3, &b3); if (is(a1, b1) || is(b1, -a1) || is(-a1, -b1) || is(-b1, a1)) { printf("YES\n"); return 0; } printf("NO\n"); return 0; }
#include <bits/stdc++.h> using namespace std; struct point { long long x, y; } a, b, c; point operator-(point a, point b) { return {a.x - b.x, a.y - b.y}; } point operator+(point a, point b) { return {a.x + b.x, a.y + b.y}; } point operator*(long long m, point a) { return {a.x * m, a.y * m}; } bool operator==(point a, point b) { if (a.x == b.x && a.y == b.y) return 1; return 0; } point rot(point ret) { return {ret.y, -ret.x}; } bool check(point d) { d = b - d; if (c.x == 0 && c.y == 0) { if (d.x == 0 && d.y == 0) return true; return false; } if (c.x == 0) { long long bb = d.x / c.y; long long aa = d.y / c.y; if (aa * c + bb * rot(c) == d) return true; else return false; } else if (c.y == 0) { long long aa = d.x / c.x; long long bb = -d.y / c.x; if (aa * c + bb * rot(c) == d) return true; else return false; } else { double bb2 = ((double)d.y - ((double)d.x * c.y) / (double)c.x) / ((double)-c.x - ((double)c.y * c.y) / (double)c.x); double aa2 = ((double)d.x - (double)bb2 * c.y) / (double)c.x; bb2 = round(bb2); aa2 = round(aa2); long long aa = aa2; long long bb = bb2; if (aa * c + bb * rot(c) == d) return true; else return false; } } int main() { scanf("%lld %lld", &a.x, &a.y); scanf("%lld %lld", &b.x, &b.y); scanf("%lld %lld", &c.x, &c.y); for (int i = 0; i <= 3; i++) { if (check(a)) { printf("YES\n"); return 0; } a = rot(a); } printf("NO\n"); return 0; }
#include <bits/stdc++.h> using namespace std; long long ax, ay, bx, by, cx, cy; bool f(long long P, long long Q) { if (cx == 0 && cy == 0) return P == 0 && Q == 0; long long r1 = (P * cx + Q * cy) % ((cx) * (cx) + (cy) * (cy)); long long r2 = (P * cy - Q * cx) % ((cx) * (cx) + (cy) * (cy)); return r1 == 0 && r2 == 0; } int main() { cout << setprecision(9); cin >> ax >> ay >> bx >> by >> cx >> cy; if (f(bx - ax, by - ay) || f(bx - ay, by + ax) || f(bx + ax, by + ay) || f(bx + ay, by - ax)) cout << "YES" << endl; else cout << "NO" << endl; return 0; }
#include <bits/stdc++.h> using namespace std; long long x1, y8477234, x2, y2, x3, y3, ix3, iy3; int i; long long sqr(long long x) { return (x * x); } bool check(long long xx, long long yy) { long long aa = xx * x3 + yy * y3; long long bb = xx * ix3 + yy * iy3; long long cc = sqr(x3) + sqr(y3); if (cc == 0) return ((xx == 0) && (yy == 0)); return ((aa % cc == 0) && (bb % cc == 0)); } int main() { cin >> x1 >> y8477234 >> x2 >> y2 >> x3 >> y3; ix3 = -y3; iy3 = x3; for (i = 0; i < 4; i++) { swap(x1, y8477234); x1 = -x1; if (check(x2 - x1, y2 - y8477234)) break; } if (i < 4) cout << "YES" << endl; else cout << "NO" << endl; return 0; }