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#include <bits/stdc++.h> using namespace std; using ull = unsigned long long; using ll = long long; using ld = long double; const int mod = 1e9 + 7; const int inf = INT_MAX; vector<string> l = {"x^y^z", "x^z^y", "(x^y)^z", "(x^z)^y", "y^x^z", "y^z^x", "(y^x)^z", "(y^z)^x", "z^x^y", "z^y^x", "(z^x)^y", "(z^y)^x"}; int main() { ios::sync_with_stdio(false); cin.tie(nullptr); ld x, y, z; cin >> x >> y >> z; if (x < 1 and y < 1 and z < 1) { ld ans = pow(x, pow(y, z)); int cur = 0; if (pow(x, pow(z, y)) > ans) { ans = pow(x, pow(z, y)); cur = 1; } if (pow(x, y * z) > ans) { ans = pow(x, y * z); cur = 2; } if (pow(y, pow(x, z)) > ans) { ans = pow(y, pow(x, z)); cur = 4; } if (pow(y, pow(z, x)) > ans) { ans = pow(y, pow(z, x)); cur = 5; } if (pow(y, x * z) > ans) { ans = pow(y, x * z); cur = 6; } if (pow(z, pow(x, y)) > ans) { ans = pow(z, pow(x, y)); cur = 8; } if (pow(z, pow(y, x)) > ans) { ans = pow(z, pow(y, x)); cur = 9; } if (pow(z, x * y) > ans) { ans = pow(z, x * y); cur = 10; } cout << l[cur] << "\n"; return 0; } ld ans = 0; int cur = 0; if (x < 1) ans = -1e18; else if (x == 1) ans = -1000; else ans = z * log(y) + log(log(x)); if (x > 1 and y * log(z) + log(log(x)) > ans) { ans = y * log(z) + log(log(x)); cur = 1; } if (x > 1 and log(y) + log(z) + log(log(x)) > ans) { ans = log(y) + log(z) + log(log(x)); cur = 2; } if (y == 1 and ans < -1000) { ans = -1000; cur = 4; } if (y > 1 and z * log(x) + log(log(y)) > ans) { ans = z * log(x) + log(log(y)); cur = 4; } if (y > 1 and x * log(z) + log(log(y)) > ans) { ans = x * log(z) + log(log(y)); cur = 5; } if (y > 1 and log(x) + log(z) + log(log(y)) > ans) { ans = log(x) + log(z) + log(log(y)); cur = 6; } if (z == 1 and ans < -1000) { ans = -1000; cur = 8; } if (z > 1 and y * log(x) + log(log(z)) > ans) { ans = y * log(x) + log(log(z)); cur = 8; } if (z > 1 and x * log(y) + log(log(z)) > ans) { ans = x * log(y) + log(log(z)); cur = 9; } if (z > 1 and log(x) + log(y) + log(log(z)) > ans) { ans = log(x) + log(y) + log(log(z)); cur = 10; } cout << l[cur]; return 0; }
#include <bits/stdc++.h> const long double EPS = 1e-12; using namespace std; inline long long rit() { long long f = 0, key = 1; char c; do { c = getchar(); if (c == '-') key = -1; } while (c < '0' || c > '9'); do { f = f * 10 + c - '0'; c = getchar(); } while (c >= '0' && c <= '9'); return f * key; } string op[12]; void init() { op[0] = "x^y^z"; op[1] = "x^z^y"; op[2] = "(x^y)^z"; op[3] = "(x^z)^y"; op[4] = "y^x^z"; op[5] = "y^z^x"; op[6] = "(y^x)^z"; op[7] = "(y^z)^x"; op[8] = "z^x^y"; op[9] = "z^y^x"; op[10] = "(z^x)^y"; op[11] = "(z^y)^x"; } inline long double chk(long double a, long double b, long double c) { return log(a) * pow(b, c); } inline long double c2(long double a, long double b, long double c) { return log(a) * b * c; } int eq(const long double &x, const long double &y) { return abs(x - y) < EPS || abs(x - y) < EPS * abs(x); } long double ans[12], a, b, c; void read() { double fa, fb, fc; scanf("%lf%lf%lf", &fa, &fb, &fc); a = fa, b = fb, c = fc; } void solve() { int key, i; long double val; ans[0] = chk(a, b, c); ans[1] = chk(a, c, b); ans[2] = c2(a, b, c); ans[3] = c2(a, c, b); ans[4] = chk(b, a, c); ans[5] = chk(b, c, a); ans[6] = c2(b, a, c); ans[7] = c2(b, c, a); ans[8] = chk(c, a, b); ans[9] = chk(c, b, a); ans[10] = c2(c, a, b); ans[11] = c2(c, b, a); key = 0; val = ans[0]; for (i = 1; i < 12; i++) { if ((!eq(val, ans[i])) && ans[i] > val) { val = ans[i]; key = i; } } cout << op[key] << endl; } int main() { int nn = 1; init(); while (nn--) { read(); solve(); } return 0; }
#include <bits/stdc++.h> using namespace std; int main() { double x, y, z; scanf("%lf%lf%lf", &x, &y, &z); double m = -1000000.0; int ad = 2; for (int i = 0; i < 12; i++) { double cmp; if (x >= 2 || y >= 2 || z >= 2) switch (i) { case 0: cmp = z * log(y) + log(log(x)); break; case 1: cmp = y * log(z) + log(log(x)); break; case 2: cmp = log(y * z) + log(log(x)); break; case 3: cmp = log(y * z) + log(log(x)); break; case 4: cmp = z * log(x) + log(log(y)); break; case 5: cmp = x * log(z) + log(log(y)); break; case 6: cmp = log(x * z) + log(log(y)); break; case 7: cmp = log(x * z) + log(log(y)); break; case 8: cmp = y * log(x) + log(log(z)); break; case 9: cmp = x * log(y) + log(log(z)); break; case 10: cmp = log(x * y) + log(log(z)); break; case 11: cmp = log(x * y) + log(log(z)); break; } else switch (i) { case 0: cmp = pow(x, pow(y, z)); break; case 1: cmp = pow(x, pow(z, y)); break; case 2: cmp = pow(pow(x, y), z); break; case 3: cmp = pow(pow(x, z), y); break; case 4: cmp = pow(y, pow(x, z)); break; case 5: cmp = pow(y, pow(z, x)); break; case 6: cmp = pow(y, x * z); break; case 7: cmp = pow(y, x * z); break; case 8: cmp = pow(z, pow(x, y)); break; case 9: cmp = pow(z, pow(y, x)); break; case 10: case 11: cmp = pow(z, x * y); break; } if (cmp - m > 1e-12) { ad = i; m = cmp; } } switch (ad) { case 0: cout << "x^y^z"; break; case 1: cout << "x^z^y"; break; case 2: cout << "(x^y)^z"; break; case 3: cout << "(x^z)^y"; break; case 4: cout << "y^x^z"; break; case 5: cout << "y^z^x"; break; case 6: cout << "(y^x)^z"; break; case 7: cout << "(y^z)^x"; break; case 8: cout << "z^x^y"; break; case 9: cout << "z^y^x"; break; case 10: cout << "(z^x)^y"; break; case 11: cout << "(z^y)^x"; break; } }
#include <bits/stdc++.h> using namespace std; double a, b, c; char s[12][100] = {"x^y^z", "x^z^y", "(x^y)^z", "(x^z)^y", "y^x^z", "y^z^x", "(y^x)^z", "(y^z)^x", "z^x^y", "z^y^x", "(z^x)^y", "(z^y)^x"}; struct num { int a, p; double x; bool operator>(num y) { return a > y.a || a == y.a && x > y.x + 1e-12; } } x, y = {}; inline void orz(double a, double b, double c, int p) { x.p = p; if (fabs(a - 1) < 1e-12) { x.a = 2; x.x = 0; } else if (a < 1) { x.a = 1; x.x = -log(-log(a)) - log(b) * c; } else { x.a = 3; x.x = log(log(a)) + log(b) * c; } if (x > y) y = x; } inline void orz_(double a, double b, double c, int p) { x.p = p; if (fabs(a - 1) < 1e-12) { x.a = 2; x.x = 0; } else if (a < 1) { x.a = 1; x.x = -log(-log(a)) - log(b * c); } else { x.a = 3; x.x = log(log(a)) + log(b * c); } if (x > y) y = x; } int main() { scanf("%lf%lf%lf", &a, &b, &c); orz(a, b, c, 0); orz(a, c, b, 1); orz_(a, b, c, 2); orz_(a, c, b, 3); orz(b, a, c, 4); orz(b, c, a, 5); orz_(b, a, c, 6); orz_(b, c, a, 7); orz(c, a, b, 8); orz(c, b, a, 9); orz_(c, a, b, 10); orz_(c, b, a, 11); printf("%s\n", s[y.p]); return 0; }
#include <bits/stdc++.h> using namespace std; inline int toInt(string s) { int v; istringstream sin(s); sin >> v; return v; } template <class T> inline string toString(T x) { ostringstream sout; sout << x; return sout.str(); } const double EPS = 1e-10; const double PI = acos(-1.0); int main() { cin.tie(0); ios::sync_with_stdio(false); double x, y, z; cin >> x >> y >> z; vector<double> a(12, -10000000000); auto f1 = [](double a, double b, double c) { return pow(a, pow(b, c)); }; auto f2 = [](double a, double b, double c) { return pow(pow(a, b), c); }; auto f3 = [](double a, double b, double c) { return c * log(b) + log(log(a)); }; auto f4 = [](double a, double b, double c) { return log(c) + log(b) + log(log(a)); }; if (x <= 1 && y <= 1 && z <= 1) { a[0] = f1(x, y, z); a[1] = f1(x, z, y); a[2] = f2(x, y, z); a[3] = f2(x, z, y); a[4] = f1(y, x, z); a[5] = f1(y, z, x); a[6] = f2(y, x, z); a[7] = f2(y, z, x); a[8] = f1(z, x, y); a[9] = f1(z, y, x); a[10] = f2(z, x, y); a[11] = f2(z, y, x); } else { if (x > 1) { a[0] = f3(x, y, z); a[1] = f3(x, z, y); a[2] = f4(x, y, z); a[3] = f4(x, z, y); } if (y > 1) { a[4] = f3(y, x, z); a[5] = f3(y, z, x); a[6] = f4(y, x, z); a[7] = f4(y, z, x); } if (z > 1) { a[8] = f3(z, x, y); a[9] = f3(z, y, x); a[10] = f4(z, x, y); a[11] = f4(z, y, x); } } double tmp = a[0]; int ret = 0; for (int i = (0); i < (12); ++i) { if (tmp < a[i] - EPS) { tmp = a[i]; ret = i; } } string S[12] = { "x^y^z", "x^z^y", "(x^y)^z", "(x^z)^y", "y^x^z", "y^z^x", "(y^x)^z", "(y^z)^x", "z^x^y", "z^y^x", "(z^x)^y", "(z^y)^x", }; cout << S[ret] << endl; return 0; }
#include <bits/stdc++.h> using namespace std; int main() { long double x, y, z, a[15], b[13]; cin >> x >> y >> z; a[1] = x, b[1] = pow(y, z); a[2] = x, b[2] = pow(z, y); a[3] = x, b[3] = y * z; a[4] = x, b[4] = z * y; a[5] = y, b[5] = pow(x, z); a[6] = y, b[6] = pow(z, x); a[7] = y, b[7] = x * z; a[8] = y, b[8] = z * x; a[9] = z, b[9] = pow(x, y); a[10] = z, b[10] = pow(y, x); a[11] = z, b[11] = x * y; a[12] = z, b[12] = y * x; int ind = 1; for (int i = 1; i <= 12; i++) { if (log(a[i]) * b[i] > log(a[ind]) * b[ind]) { ind = i; } } if (ind == 1) { cout << "x^y^z\n"; } if (ind == 2) { cout << "x^z^y\n"; } if (ind == 3) { cout << "(x^y)^z\n"; } if (ind == 4) { cout << "(x^z)^y\n"; } if (ind == 5) { cout << "y^x^z\n"; } if (ind == 6) { cout << "y^z^x\n"; } if (ind == 7) { cout << "(y^x)^z\n"; } if (ind == 8) { cout << "(y^z)^x\n"; } if (ind == 9) { cout << "z^x^y\n"; } if (ind == 10) { cout << "z^y^x\n"; } if (ind == 11) { cout << "(z^x)^y\n"; } if (ind == 12) { cout << "(z^y)^x\n"; } return 0; }
#include <bits/stdc++.h> double x, y, z, xy, yz, zx, x_y, y_z, z_x, y_x, z_y, x_z, max = -98765987654321.0, mod = 987654321.0, a[14]; int ans; char ar[50][50] = {"", "x^y^z", "x^z^y", "(x^y)^z", "(x^z)^y", "y^x^z", "y^z^x", "(y^x)^z", "(y^z)^x", "z^x^y", "z^y^x", "(z^x)^y", "(z^y)^x"}; int main() { scanf("%lf %lf %lf", &x, &y, &z); if (log(x) > 0) { a[1] = z * log(y) + log(log(x)); a[1] += 987654321.0; } else if (log(x) < 0) { a[1] = z * log(y) - log(-log(x)); a[1] -= 987654321.0; } else a[1] = 0; a[1] = log(x) > 0 ? z * log(y) + log(log(x)) + mod : log(x) < 0 ? z * log(y) - log(-log(x)) - mod : 0; a[2] = log(x) > 0 ? y * log(z) + log(log(x)) + mod : log(x) < 0 ? y * log(z) - log(-log(x)) - mod : 0; a[3] = log(x) > 0 ? log(y * z) + log(log(x)) + mod : log(x) < 0 ? -log(y * z) - log(-log(x)) - mod : 0; a[4] = a[3]; a[5] = log(y) > 0 ? z * log(x) + log(log(y)) + mod : log(y) < 0 ? z * log(x) - log(-log(y)) - mod : 0; a[6] = log(y) > 0 ? x * log(z) + log(log(y)) + mod : log(y) < 0 ? x * log(z) - log(-log(y)) - mod : 0; a[7] = log(y) > 0 ? log(x * z) + log(log(y)) + mod : log(y) < 0 ? -log(x * z) - log(-log(y)) - mod : 0; a[8] = a[7]; a[9] = log(z) > 0 ? y * log(x) + log(log(z)) + mod : log(z) < 0 ? y * log(x) - log(-log(z)) - mod : 0; a[10] = log(z) > 0 ? x * log(y) + log(log(z)) + mod : log(z) < 0 ? x * log(y) - log(-log(z)) - mod : 0; a[11] = log(z) > 0 ? log(x * y) + log(log(z)) + mod : log(z) < 0 ? -log(x * y) - log(-log(z)) - mod : 0; a[12] = a[11]; for (int i = 1; i <= 12; i++) { if (a[i] > max) { max = a[i]; ans = i; } } printf("%s", ar[ans]); return 0; }
#include <bits/stdc++.h> using namespace std; const long double EPS = 1e-12; bool gt(long double a, long double b) { if (fabs(a - b) < EPS) return false; else return a > b; } int main() { ios_base::sync_with_stdio(false); cin.tie(0); long double x, y, z; cin >> x >> y >> z; vector<pair<string, long double>> val; val.emplace_back("x^y^z", log(x) * pow(y, z)); val.emplace_back("x^z^y", log(x) * pow(z, y)); val.emplace_back("(x^y)^z", log(x) * y * z); val.emplace_back("(x^z)^y", log(x) * z * y); val.emplace_back("y^x^z", log(y) * pow(x, z)); val.emplace_back("y^z^x", log(y) * pow(z, x)); val.emplace_back("(y^x)^z", log(y) * x * z); val.emplace_back("z^x^y", log(z) * pow(x, y)); val.emplace_back("z^y^x", log(z) * pow(y, x)); val.emplace_back("(z^x)^y", log(z) * x * y); val.emplace_back("(z^y)^x", log(z) * y * x); string rs = ""; long double mx = -numeric_limits<long double>::infinity(); for (auto it : val) { if (gt(it.second, mx)) { rs = it.first; mx = it.second; } } cout << rs << "\n"; }
#include <bits/stdc++.h> using namespace std; int main() { ios::sync_with_stdio(false); cin.tie(0); long double x, y, z; cin >> x >> y >> z; const long double eps = (long double)1e-12; auto check = [&](long double x, long double y) { return abs(x - y) < eps; }; long double logx = log(x); long double logy = log(y); long double logz = log(z); vector<long double> a(11); a[0] = logx * pow(y, z); a[1] = logx * pow(z, y); a[2] = logx * y * z; a[3] = a[2]; a[4] = logy * pow(x, z); a[5] = logy * pow(z, x); a[6] = logy * x * z; a[7] = a[6]; a[8] = logz * pow(x, y); a[9] = logz * pow(y, x); a[10] = logz * x * y; long double tmp = -1; int pos = -1; for (int i = 0; i < 11; i++) { if (!check(a[i], tmp) && a[i] > tmp) { tmp = a[i]; pos = i; } } if (pos == 0) { cout << "x^y^z" << '\n'; } else if (pos == 1) { cout << "x^z^y" << '\n'; } else if (pos == 2) { cout << "(x^y)^z" << '\n'; } else if (pos == 4) { cout << "y^x^z" << '\n'; } else if (pos == 5) { cout << "y^z^x" << '\n'; } else if (pos == 6) { cout << "(y^x)^z" << '\n'; } else if (pos == 8) { cout << "z^x^y" << '\n'; } else if (pos == 9) { cout << "z^y^x" << '\n'; } else { cout << "(z^x)^y" << '\n'; } return 0; }
#include <bits/stdc++.h> using namespace std; long double x, y, z, ans = -1; string s; int main() { cin >> x >> y >> z; if (log(x) * pow(y, z) > ans) ans = log(x) * pow(y, z), s = "x^y^z"; if (log(x) * pow(z, y) > ans) ans = log(x) * pow(z, y), s = "x^z^y"; if (log(x) * y * z > ans) ans = log(x) * y * z, s = "(x^y)^z"; if (log(y) * pow(x, z) > ans) ans = log(y) * pow(x, z), s = "y^x^z"; if (log(y) * pow(z, x) > ans) ans = log(y) * pow(z, x), s = "y^z^x"; if (log(y) * x * z > ans) ans = log(y) * x * z, s = "(y^x)^z"; if (log(z) * pow(x, y) > ans) ans = log(z) * pow(x, y), s = "z^x^y"; if (log(z) * pow(y, x) > ans) ans = log(z) * pow(y, x), s = "z^y^x"; if (log(z) * x * y > ans) ans = log(z) * y * x, s = "(z^x)^y"; cout << s; return 0; }
#include <bits/stdc++.h> using namespace std; string as[15] = {"", "x^y^z", "x^z^y", "(x^y)^z", "(x^z)^y)", "y^x^z", "y^z^x", "(y^x)^z", "(y^z)^x", "z^x^y", "z^y^x", "(z^x)^y", "(z^y)^x"}; bool EQ(long double a, long double b) { if (fabs(a - b) < 1e-9) return 1; return 0; } int main() { long double x, y, z; cin >> x >> y >> z; long double logx = log(x); long double logy = log(y); long double logz = log(z); long double ans[15]; ans[1] = logx * pow(y, z); ans[2] = logx * pow(z, y); ans[3] = logx * y * z; ans[4] = ans[3]; ans[5] = logy * pow(x, z); ans[6] = logy * pow(z, x); ans[7] = logy * x * z; ans[8] = ans[7]; ans[9] = logz * pow(x, y); ans[10] = logz * pow(y, x); ans[11] = logz * x * y; ans[12] = ans[11]; int inx = 1; long double tmp = ans[1]; for (int i = 2; i <= 12; ++i) { if (!EQ(tmp, ans[i]) && tmp < ans[i]) tmp = ans[i], inx = i; } cout << as[inx] << endl; }
#include <bits/stdc++.h> using namespace std; string s[13] = {"", "x^y^z", "x^z^y", "(x^y)^z", "(x^z)^y", "y^x^z", "y^z^x", "(y^x)^z", "(y^z)^x", "z^x^y", "z^y^x", "(z^x)^y", "(z^y)^x"}; double num[13]; const double INF = 1.0e36; void solve(double x, double y, double z, int a, int b, int c) { double MAX = -INF, MIN = INF; int id; if (a == 1 && b == 1 && c == 1) { num[1] = z * log(y) + log(log(x)); num[2] = y * log(z) + log(log(x)); num[3] = log(z) + log(y) + log(log(x)); num[4] = log(y) + log(z) + log(log(x)); num[5] = z * log(x) + log(log(y)); num[6] = x * log(z) + log(log(y)); num[7] = log(z) + log(x) + log(log(y)); num[8] = log(x) + log(z) + log(log(y)); num[9] = y * log(x) + log(log(z)); num[10] = x * log(y) + log(log(z)); num[11] = log(x) + log(y) + log(log(z)); num[12] = log(y) + log(x) + log(log(z)); for (int i = 1; i <= 12; i++) { if (MAX < num[i]) { MAX = num[i]; id = i; } } } else if (a == 0 && b == 1 && c == 1) { num[5] = z * log(x) + log(log(y)); num[6] = x * log(z) + log(log(y)); num[7] = log(z) + log(x) + log(log(y)); num[8] = log(x) + log(z) + log(log(y)); num[9] = y * log(x) + log(log(z)); num[10] = x * log(y) + log(log(z)); num[11] = log(x) + log(y) + log(log(z)); num[12] = log(y) + log(x) + log(log(z)); for (int i = 5; i <= 12; i++) { if (MAX < num[i]) { MAX = num[i]; id = i; } } } else if (a == 1 && b == 0 && c == 1) { num[1] = z * log(y) + log(log(x)); num[2] = y * log(z) + log(log(x)); num[3] = log(z) + log(y) + log(log(x)); num[4] = log(y) + log(z) + log(log(x)); num[9] = y * log(x) + log(log(z)); num[10] = x * log(y) + log(log(z)); num[11] = log(x) + log(y) + log(log(z)); num[12] = log(y) + log(x) + log(log(z)); for (int i = 1; i <= 4; i++) { if (MAX < num[i]) { MAX = num[i]; id = i; } } for (int i = 9; i <= 12; i++) { if (MAX < num[i]) { MAX = num[i]; id = i; } } } else if (a == 1 && b == 1 && c == 0) { num[1] = z * log(y) + log(log(x)); num[2] = y * log(z) + log(log(x)); num[3] = log(z) + log(y) + log(log(x)); num[4] = log(y) + log(z) + log(log(x)); num[5] = z * log(x) + log(log(y)); num[6] = x * log(z) + log(log(y)); num[7] = log(z) + log(x) + log(log(y)); num[8] = log(x) + log(z) + log(log(y)); for (int i = 1; i <= 8; i++) { if (MAX < num[i]) { MAX = num[i]; id = i; } } } else if (a == 1 && b == 0 && c == 0) { num[1] = z * log(y) + log(log(x)); num[2] = y * log(z) + log(log(x)); num[3] = log(z) + log(y) + log(log(x)); num[4] = log(y) + log(z) + log(log(x)); for (int i = 1; i <= 4; i++) { if (MAX < num[i]) { MAX = num[i]; id = i; } } } else if (a == 0 && b == 1 && c == 0) { num[5] = z * log(x) + log(log(y)); num[6] = x * log(z) + log(log(y)); num[7] = log(z) + log(x) + log(log(y)); num[8] = log(x) + log(z) + log(log(y)); for (int i = 5; i <= 8; i++) { if (MAX < num[i]) { MAX = num[i]; id = i; } } } else if (a == 0 && b == 0 && c == 1) { num[9] = y * log(x) + log(log(z)); num[10] = x * log(y) + log(log(z)); num[11] = log(x) + log(y) + log(log(z)); num[12] = log(y) + log(x) + log(log(z)); for (int i = 9; i <= 12; i++) { if (MAX < num[i]) { MAX = num[i]; id = i; } } } else if (a == 0 && b == 0 && c == 0) { num[1] = z * log(y) + log(-log(x)); num[2] = y * log(z) + log(-log(x)); num[3] = log(z) + log(y) + log(-log(x)); num[4] = log(y) + log(z) + log(-log(x)); num[5] = z * log(x) + log(-log(y)); num[6] = x * log(z) + log(-log(y)); num[7] = log(z) + log(x) + log(-log(y)); num[8] = log(x) + log(z) + log(-log(y)); num[9] = y * log(x) + log(-log(z)); num[10] = x * log(y) + log(-log(z)); num[11] = log(x) + log(y) + log(-log(z)); num[12] = log(y) + log(x) + log(-log(z)); for (int i = 1; i <= 12; i++) { if (MIN > num[i]) { MIN = num[i]; id = i; } } } cout << s[id] << endl; } int main() { double x, y, z; cin >> x >> y >> z; int xf = 1, yf = 1, zf = 1; if (x <= 1.0) xf = 0; if (y <= 1.0) yf = 0; if (z <= 1.0) zf = 0; solve(x, y, z, xf, yf, zf); return 0; }
#include <bits/stdc++.h> const int N = 2e3 + 5; int TEST_NUM = 1; using namespace std; void calc(string *res, long double *d, long double x, long double y, long double z) { res[1] = "x^y^z"; d[1] = log(x) * pow(y, z); res[2] = "x^z^y"; d[2] = log(x) * pow(z, y); res[3] = "(x^y)^z"; d[3] = log(x) * y * z; res[4] = "(x^z)^y"; d[4] = log(x) * y * z; res[5] = "y^x^z"; d[5] = log(y) * pow(x, z); res[6] = "y^z^x"; d[6] = log(y) * pow(z, x); res[7] = "(y^x)^z"; d[7] = log(y) * x * z; res[8] = "(y^z)^x"; d[8] = log(y) * x * z; res[9] = "z^x^y"; d[9] = log(z) * pow(x, y); res[10] = "z^y^x"; d[10] = log(z) * pow(y, x); res[11] = "(z^x)^y"; d[11] = log(z) * x * y; res[12] = "(z^y)^x"; d[12] = log(z) * x * y; } int main() { long double x, y, z; string res[15]; long double d[15]; cin >> x >> y >> z; calc(res, d, x, y, z); int mxi = -1; for (int i = 1; i <= 12; i++) { if (mxi == -1 || d[mxi] < d[i]) { mxi = i; } } cout << res[mxi] << endl; return 0; }
#include <bits/stdc++.h> using namespace std; const char *a[] = {"x^y^z", "x^z^y", "(x^y)^z", "(x^z)^y", "y^x^z", "y^z^x", "(y^x)^z", "(y^z)^x", "z^x^y", "z^y^x", "(z^x)^y", "(z^y)^x"}; const double minn = -1e18; const double esp = 1e-6; int main() { double x, y, z; while (scanf("%lf %lf %lf", &x, &y, &z) == 3) { int flag = 0; double p[12]; if (x > 1 || y > 1 || z > 1) { p[0] = x > 1 ? z * log10(y) + log10(log10(x)) : minn; p[1] = x > 1 ? y * log10(z) + log10(log10(x)) : minn; p[2] = x > 1 ? log10(z) + log10(y * log10(x)) : minn; p[3] = x > 1 ? log10(y) + log10(z * log10(x)) : minn; p[4] = y > 1 ? z * log10(x) + log10(log10(y)) : minn; p[5] = y > 1 ? x * log10(z) + log10(log10(y)) : minn; p[6] = y > 1 ? log10(z) + log10(x * log10(y)) : minn; p[7] = y > 1 ? log10(x) + log10(z * log10(y)) : minn; p[8] = z > 1 ? y * log10(x) + log10(log10(z)) : minn; p[9] = z > 1 ? x * log10(y) + log10(log10(z)) : minn; p[10] = z > 1 ? log10(y) + log10(x * log10(z)) : minn; p[11] = z > 1 ? log10(x) + log10(y * log10(z)) : minn; } else { p[0] = (double)pow(x, pow(y, z)); p[1] = (double)pow(x, pow(z, y)); p[2] = (double)pow(pow(x, y), z); p[3] = (double)pow(pow(x, z), y); p[4] = (double)pow(y, pow(x, z)); p[5] = (double)pow(y, pow(z, x)); p[6] = (double)pow(pow(y, x), z); p[7] = (double)pow(pow(y, z), x); p[8] = (double)pow(z, pow(x, y)); p[9] = (double)pow(z, pow(y, x)); p[10] = (double)pow(pow(z, x), y); p[11] = (double)pow(pow(z, y), x); } double max_num = p[0]; for (int i = 0; i < 12; i++) { if (p[i] - max_num > esp) { max_num = p[i]; flag = i; } } printf("%s\n", a[flag]); } return 0; }
#include <bits/stdc++.h> using namespace std; const double PI = acos(-1.0); const double eps = 1e-9; const long long int mod = 1e9 + 7; const long long int inf = 1LL << 30; const int MAXN = 1e5 + 5; void cp() { double x, y, z; cin >> x >> y >> z; vector<double> arr; if (x > 1. || y > 1. || z > 1.) { arr.push_back(z * log(y) + log(log(x))); arr.push_back(y * log(z) + log(log(x))); arr.push_back(log(y) + log(z) + log(log(x))); arr.push_back(log(y) + log(z) + log(log(x))); swap(x, y); arr.push_back(z * log(y) + log(log(x))); arr.push_back(y * log(z) + log(log(x))); arr.push_back(log(y) + log(z) + log(log(x))); arr.push_back(log(y) + log(z) + log(log(x))); swap(x, z); arr.push_back(z * log(y) + log(log(x))); arr.push_back(y * log(z) + log(log(x))); arr.push_back(log(y) + log(z) + log(log(x))); arr.push_back(log(y) + log(z) + log(log(x))); for (double &X : arr) if (isnan(X)) X = -DBL_MAX; } else { arr.push_back(pow(x, pow(y, z))); arr.push_back(pow(x, pow(z, y))); arr.push_back(pow(x, y * z)); arr.push_back(pow(x, y * z)); swap(x, y); arr.push_back(pow(x, pow(y, z))); arr.push_back(pow(x, pow(z, y))); arr.push_back(pow(x, y * z)); arr.push_back(pow(x, y * z)); swap(x, z); arr.push_back(pow(x, pow(y, z))); arr.push_back(pow(x, pow(z, y))); arr.push_back(pow(x, y * z)); arr.push_back(pow(x, y * z)); } string ans; int idx = max_element(arr.begin(), arr.end()) - begin(arr); if (idx == 0) ans = "x^y^z"; else if (idx == 1) ans = "x^z^y"; else if (idx == 2) ans = "(x^y)^z"; else if (idx == 3) ans = "(x^z)^y"; else if (idx == 4) ans = "y^x^z"; else if (idx == 5) ans = "y^z^x"; else if (idx == 6) ans = "(y^x)^z"; else if (idx == 7) ans = "(y^z)^x"; else if (idx == 8) ans = "z^x^y"; else if (idx == 9) ans = "z^y^x"; else if (idx == 10) ans = "(z^x)^y"; else ans = "(z^y)^x"; cout << ans << '\n'; } int main() { ios_base::sync_with_stdio(false); cin.tie(NULL); cout.tie(NULL); ; int t; t = 1; while (t--) { cp(); } return 0; }
#include <bits/stdc++.h> using namespace std; void reader(int *x) { int k, m = 0; *x = 0; for (;;) { (k) = getchar(); if (k == '-') { m = 1; break; } if ('0' <= k && k <= '9') { *x = k - '0'; break; } } for (;;) { (k) = getchar(); if (k < '0' || k > '9') break; *x = (*x) * 10 + k - '0'; } if (m) (*x) = -(*x); } void reader(long long *x) { int k, m = 0; *x = 0; for (;;) { (k) = getchar(); if (k == '-') { m = 1; break; } if ('0' <= k && k <= '9') { *x = k - '0'; break; } } for (;;) { (k) = getchar(); if (k < '0' || k > '9') break; *x = (*x) * 10 + k - '0'; } if (m) (*x) = -(*x); } void reader(double *x) { scanf("%lf", x); } void reader(long double *x) { scanf("%Lf", x); } int reader(char c[]) { int i, s = 0; for (;;) { (i) = getchar(); if (i != ' ' && i != '\n' && i != '\r' && i != '\t' && i != EOF) break; } c[s++] = i; for (;;) { (i) = getchar(); if (i == ' ' || i == '\n' || i == '\r' || i == '\t' || i == EOF) break; c[s++] = i; } c[s] = '\0'; return s; } template <class T, class S> void reader(T *x, S *y) { reader(x); reader(y); } template <class T, class S, class U> void reader(T *x, S *y, U *z) { reader(x); reader(y); reader(z); } template <class T, class S, class U, class V> void reader(T *x, S *y, U *z, V *w) { reader(x); reader(y); reader(z); reader(w); } void writer(int x, char c) { int s = 0, m = 0; char f[10]; if (x < 0) m = 1, x = -x; while (x) f[s++] = x % 10, x /= 10; if (!s) f[s++] = 0; if (m) putchar('-'); while (s--) putchar(f[s] + '0'); putchar(c); } void writer(long long x, char c) { int s = 0, m = 0; char f[20]; if (x < 0) m = 1, x = -x; while (x) f[s++] = x % 10, x /= 10; if (!s) f[s++] = 0; if (m) putchar('-'); while (s--) putchar(f[s] + '0'); putchar(c); } void writer(double x, char c) { printf("%.15f", x); putchar(c); } void writer(const char c[]) { int i; for (i = 0; c[i] != '\0'; i++) putchar(c[i]); } void writer(const char x[], char c) { int i; for (i = 0; x[i] != '\0'; i++) putchar(x[i]); putchar(c); } template <class T> void writerLn(T x) { writer(x, '\n'); } template <class T, class S> void writerLn(T x, S y) { writer(x, ' '); writer(y, '\n'); } template <class T, class S, class U> void writerLn(T x, S y, U z) { writer(x, ' '); writer(y, ' '); writer(z, '\n'); } template <class T> void writerArr(T x[], int n) { int i; if (!n) { putchar('\n'); return; } for (i = 0; i < n - 1; i++) writer(x[i], ' '); writer(x[n - 1], '\n'); } char memarr[17000000]; void *mem = memarr; long double X, Y, Z; long double val[9]; const char *ans[9] = { "x^y^z", "x^z^y", "(x^y)^z", "y^x^z", "y^z^x", "(y^x)^z", "z^x^y", "z^y^x", "(z^x)^y", }; int main() { int i, j, k, ind; double tmp; reader(&tmp); X = tmp; reader(&tmp); Y = tmp; reader(&tmp); Z = tmp; val[0] = logl(X) * powl(Y, Z); val[1] = logl(X) * powl(Z, Y); val[2] = logl(X) * Y * Z; val[3] = logl(Y) * powl(X, Z); val[4] = logl(Y) * powl(Z, X); val[5] = logl(Y) * X * Z; val[6] = logl(Z) * powl(X, Y); val[7] = logl(Z) * powl(Y, X); val[8] = logl(Z) * X * Y; ind = 0; for (i = 1; i < 9; i++) if (val[ind] < val[i]) ind = i; writerLn(ans[ind]); return 0; }
#include <bits/stdc++.h> using namespace std; long double a[13]; int main() { double xx, yy, zz; cin >> xx >> yy >> zz; long double x, y, z; x = xx; y = yy; z = zz; a[1] = log(x) * pow(y, z); a[2] = log(x) * pow(z, y); a[3] = log(x) * y * z; a[4] = a[3]; a[5] = log(y) * pow(x, z); a[6] = log(y) * pow(z, x); a[7] = log(y) * x * z; a[8] = a[7]; a[9] = log(z) * pow(x, y); a[10] = log(z) * pow(y, x); a[11] = log(z) * x * y; a[12] = a[11]; int j; long double mina; mina = -2.0; for (int i = 1; i <= 12; i++) { if (a[i] > mina) { j = i; mina = a[i]; } } if (j == 1) { cout << "x^y^z" << endl; } if (j == 2) { cout << "x^z^y" << endl; } if (j == 3 || j == 4) { cout << "(x^y)^z" << endl; } if (j == 5) { cout << "y^x^z" << endl; } if (j == 6) { cout << "y^z^x" << endl; } if (j == 7 || j == 8) { cout << "(y^x)^z" << endl; } if (j == 9) { cout << "z^x^y" << endl; } if (j == 10) { cout << "z^y^x" << endl; } if (j == 11 || j == 12) { cout << "(z^x)^y" << endl; } return 0; }
#include <bits/stdc++.h> using namespace std; long double x, y, z, ans = -1; int num; int main() { std::ios_base::sync_with_stdio(false); cin >> x >> y >> z; if (ans < pow(y, z) * log(x)) ans = pow(y, z) * log(x), num = 1; if (ans < pow(z, y) * log(x)) ans = pow(z, y) * log(x), num = 2; if (ans < y * z * log(x)) ans = y * z * log(x), num = 3; if (ans < pow(x, z) * log(y)) ans = pow(x, z) * log(y), num = 4; if (ans < pow(z, x) * log(y)) ans = pow(z, x) * log(y), num = 5; if (ans < x * z * log(y)) ans = x * z * log(y), num = 6; if (ans < pow(x, y) * log(z)) ans = pow(x, y) * log(z), num = 7; if (ans < pow(y, x) * log(z)) ans = pow(y, x) * log(z), num = 8; if (ans < x * y * log(z)) ans = x * y * log(z), num = 9; switch (num) { case 1: cout << "x^y^z"; break; case 2: cout << "x^z^y"; break; case 3: cout << "(x^y)^z"; break; case 4: cout << "y^x^z"; break; case 5: cout << "y^z^x"; break; case 6: cout << "(y^x)^z"; break; case 7: cout << "z^x^y"; break; case 8: cout << "z^y^x"; break; case 9: cout << "(z^x)^y"; break; } cout << '\n'; return 0; }
#include <bits/stdc++.h> using namespace std; const double DELTA = 0.0000001; const double MAX_DOUBLE = numeric_limits<double>::max(); const double MIN_DOUBLE = -numeric_limits<double>::max(); double f1(double x, double y, double z, double def) { if (log(x) < -DELTA) return def; if (log(x) < DELTA) return MIN_DOUBLE; return z * log(y) + log(log(x)); } double f2(double x, double y, double z, double def) { if ((y * z) * log(x) < -DELTA) return def; if ((y * z) * log(x) < DELTA) return MIN_DOUBLE; return log((y * z) * log(x)); } typedef double (*Func)(double x, double y, double z, double def); void find_max(Func func, double arg1, double arg2, double arg3, string res_set, double& mx, string& res) { double curr = func(arg1, arg2, arg3, MIN_DOUBLE); if (curr > mx + DELTA) { res = res_set; mx = curr; } } void find_min(Func func, double arg1, double arg2, double arg3, string res_set, double& mn, string& res) { double curr = func(arg1, arg2, arg3, MAX_DOUBLE); if (curr < mn - DELTA) { res = res_set; mn = curr; } } int main(int argc, char* argv[]) { ios::sync_with_stdio(false); double x, y, z; cin >> x >> y >> z; string res; if (x > 1.0 + DELTA || y > 1.0 + DELTA || z > 1.0 + DELTA) { double mx = MIN_DOUBLE; find_max(f1, x, y, z, "x^y^z", mx, res); find_max(f1, x, z, y, "x^z^y", mx, res); find_max(f2, x, y, z, "(x^y)^z", mx, res); find_max(f2, x, z, y, "(x^z)^y", mx, res); find_max(f1, y, x, z, "y^x^z", mx, res); find_max(f1, y, z, x, "y^z^x", mx, res); find_max(f2, y, x, z, "(y^x)^z", mx, res); find_max(f2, y, z, x, "(y^z)^x", mx, res); find_max(f1, z, x, y, "z^x^y", mx, res); find_max(f1, z, y, x, "z^y^x", mx, res); find_max(f2, z, x, y, "(z^x)^y", mx, res); find_max(f2, z, y, x, "(z^y)^x", mx, res); } else { double mn = MAX_DOUBLE; find_min(f1, 1.0 / x, y, z, "x^y^z", mn, res); find_min(f1, 1.0 / x, z, y, "x^z^y", mn, res); find_min(f2, 1.0 / x, y, z, "(x^y)^z", mn, res); find_min(f2, 1.0 / x, z, y, "(x^z)^y", mn, res); find_min(f1, 1.0 / y, x, z, "y^x^z", mn, res); find_min(f1, 1.0 / y, z, x, "y^z^x", mn, res); find_min(f2, 1.0 / y, x, z, "(y^x)^z", mn, res); find_min(f2, 1.0 / y, z, x, "(y^z)^x", mn, res); find_min(f1, 1.0 / z, x, y, "z^x^y", mn, res); find_min(f1, 1.0 / z, y, x, "z^y^x", mn, res); find_min(f2, 1.0 / z, x, y, "(z^x)^y", mn, res); find_min(f2, 1.0 / z, y, x, "(z^y)^x", mn, res); } cout << res << endl; return 0; }
#include <bits/stdc++.h> using namespace std; char s[][100] = {"x^y^z", "x^z^y", "(x^y)^z", "(x^z)^y", "y^x^z", "y^z^x", "(y^x)^z", "(y^z)^x", "z^x^y", "z^y^x", "(z^x)^y", "(z^y)^x"}; int main() { double x, y, z; long double a[20]; long double k; int n; while (~scanf("%lf%lf%lf", &x, &y, &z)) { k = 0; long double logx = log(x); long double logy = log(y); long double logz = log(z); a[0] = logx * powl(y, z); a[1] = logx * powl(z, y); a[2] = logx * y * z; a[3] = -1; a[4] = logy * powl(x, z); a[5] = logy * powl(z, x); a[6] = logy * x * z; a[7] = -1; a[8] = logz * powl(x, y); a[9] = logz * powl(y, x); a[10] = logz * x * y; a[11] = -1; n = 0; for (int i = 1; i < 12; i++) { if (a[i] > a[n]) { n = i; } } printf("%s\n", s[n]); } return 0; }
#include <bits/stdc++.h> using namespace std; char out[12][12] = {"x^y^z", "x^z^y", "(x^y)^z", "(x^z)^y", "y^x^z", "y^z^x", "(y^x)^z", "(y^z)^x", "z^x^y", "z^y^x", "(z^x)^y", "(z^y)^x"}; struct value { double a, b; public: value() {} value(double a, double b) : a(a), b(log(b)) {} bool operator<(const value& v2) const { const value& v1 = *this; if (abs(v1.b) < 1e-9) return v2.b > 0 && abs(v2.b) > 1e-9; double b1 = v1.b, b2 = v2.b; if (b1 < 0) { b1 *= -1, b2 *= -1; if (b2 < 0) return 1; double x = v1.a - v2.a, y = log(b2) - log(b1); return x > y && abs(x - y); } if (b2 < 0) return 0; double x = v1.a - v2.a, y = log(b2) - log(b1); return x < y && abs(x - y); } }; pair<value, int> V[12]; int main() { double x, y, z; cin >> x >> y >> z; V[0].first = value(z * log(y), x); V[1].first = value(y * log(z), x); V[2].first = value(log(y * z), x); V[3].first = value(log(y * z), x); V[4].first = value(z * log(x), y); V[5].first = value(x * log(z), y); V[6].first = value(log(x * z), y); V[7].first = value(log(x * z), y); V[8].first = value(y * log(x), z); V[9].first = value(x * log(y), z); V[10].first = value(log(x * y), z); V[11].first = value(log(x * y), z); for (int i = 0; i < (12); i++) V[i].second = i; sort(V, V + 12); int c = V[11].second; for (int i = 0; i < (12); i++) { if (!(V[i].first < V[11].first) && !(V[11].first < V[i].first)) { cerr << V[i].second << " ----- " << endl; c = min(c, V[i].second); } } puts(out[c]); return 0; }
#include <bits/stdc++.h> using namespace std; const int INFint = 2147483547; const long long INF = 9223372036854775807ll; const long long MOD = 1000000007ll; const long double EPS = 1e-16; long double pow1(long double x, long double y, long double z) { return pow(y, z) * log(x); } long double pow2(long double x, long double y, long double z) { return y * z * log(x); } int main() { ios_base::sync_with_stdio(0); long double x, y, z; cin >> x >> y >> z; vector<long double> v; v.push_back(pow1(x, y, z)); v.push_back(pow1(x, z, y)); v.push_back(pow2(x, y, z)); v.push_back(pow2(x, z, y)); v.push_back(pow1(y, x, z)); v.push_back(pow1(y, z, x)); v.push_back(pow2(y, x, z)); v.push_back(pow2(y, z, x)); v.push_back(pow1(z, x, y)); v.push_back(pow1(z, y, x)); v.push_back(pow2(z, x, y)); v.push_back(pow2(z, y, x)); string get[12] = {"x^y^z", "x^z^y", "(x^y)^z", "(x^z)^y", "y^x^z", "y^z^x", "(y^x)^z", "(y^z)^x", "z^x^y", "z^y^x", "(z^x)^y", "(z^y)^x"}; long double mx = -INF; int ans = 0; for (int i = 0; i < v.size(); i++) { if (0) cerr << fixed << setprecision(6) << v[i] << endl; if (v[i] - mx > EPS) { mx = v[i]; ans = i; } } cout << get[ans]; fprintf(stderr, "\nTIME = %lf\n", 1.0 * clock() / CLOCKS_PER_SEC); ; return 0; }
#include <bits/stdc++.h> using namespace std; int main() { long double x, y, z; string str[] = {"", "x^y^z\n", "x^z^y\n", "(x^y)^z\n", "y^x^z\n", "y^z^x\n", "(y^x)^z\n", "z^x^y\n", "z^y^x\n", "(z^x)^y\n"}; cin >> x >> y >> z; long double a[13]; a[1] = log(x) * pow(y, z); a[2] = log(x) * pow(z, y); a[3] = y * z * log(x); a[4] = log(y) * pow(x, z); a[5] = log(y) * pow(z, x); a[6] = x * z * log(y); a[7] = log(z) * pow(x, y); a[8] = log(z) * pow(y, x); a[9] = x * y * log(z); long double ans = a[1]; int m = 1; for (int i = 2; i < 10; ++i) { if (a[i] > ans) { ans = a[i]; m = i; } } cout << str[m]; return 0; }
#include <bits/stdc++.h> using namespace std; const long long MOD = 1000000007; int n, ans; long double x, y, z, mxm, val[15]; char str[][10] = {"", "x^y^z", "x^z^y", "(x^y)^z", "(x^z)^y", "y^x^z", "y^z^x", "(y^x)^z", "(y^z)^x", "z^x^y", "z^y^x", "(z^x)^y", "(z^y)^x"}; int main() { cin >> x >> y >> z; val[1] = pow(y, z) * log(x); val[2] = pow(z, y) * log(x); val[3] = val[4] = log(x) * y * z; val[5] = pow(x, z) * log(y); val[6] = pow(z, x) * log(y); val[7] = val[8] = log(y) * x * z; val[9] = pow(x, y) * log(z); val[10] = pow(y, x) * log(z); val[11] = val[12] = log(z) * x * y; mxm = val[1]; ans = 1; for (int i = 1; i <= 12; i++) { if (val[i] > mxm) { mxm = val[i]; ans = i; } } cout << str[ans] << endl; return 0; }
#include <bits/stdc++.h> using namespace std; int n; long double x, y, z; int main(void) { cin >> x >> y >> z; long double logx = log(x); long double logy = log(y); long double logz = log(z); char str[11][20] = {"x^y^z", "x^z^y", "(x^y)^z", "", "y^x^z", "y^z^x", "(y^x)^z", " ", "z^x^y", "z^y^x", "(z^x)^y"}; long double num[11]; num[0] = logx * pow(y, z); num[1] = logx * pow(z, y); num[2] = logx * y * z; num[3] = num[2]; num[4] = logy * pow(x, z); num[5] = logy * pow(z, x); num[6] = logy * x * z; num[7] = num[6]; num[8] = logz * pow(x, y); num[9] = logz * pow(y, x); num[10] = logz * x * y; int pos = -1; long double maxx = -1; for (int i = 0; i < 11; i++) { if (abs(num[i] - maxx) > 1e-12 && maxx < num[i]) { maxx = num[i]; pos = i; } } cout << str[pos] << endl; }
#include <bits/stdc++.h> using namespace std; long double arr[13]; string s[13]; int main() { long double x, y, z; cin >> x >> y >> z; s[0] = "x^y^z"; s[1] = "x^z^y"; s[2] = "(x^y)^z"; s[3] = "y^x^z"; s[4] = "y^z^x"; s[5] = "(y^x)^z"; s[6] = "z^x^y"; s[7] = "z^y^x"; s[8] = "(z^x)^y"; arr[0] = log(x) * pow(y, z); arr[1] = log(x) * pow(z, y); arr[2] = log(x) * y * z; arr[3] = log(y) * pow(x, z); arr[4] = log(y) * pow(z, x); arr[5] = log(y) * x * z; arr[6] = log(z) * pow(x, y); arr[7] = log(z) * pow(y, x); arr[8] = log(z) * x * y; string ans; long double an = -1.0; cout.precision(20); for (int i = 0; i < 9; i++) { if (arr[i] > an) { an = arr[i]; ans = s[i]; } } cout << ans << endl; return 0; }
#include <bits/stdc++.h> using namespace std; int main() { double x, y, z; cin >> x >> y >> z; double ninf = log(0); double a, b, c, d, e, f, g, h, i; double m; string res; if (log(x) < 0 && log(y) < 0 && log(z) < 0) { a = z * log(y) + log(-log(x)); b = y * log(z) + log(-log(x)); c = log(y * z * -log(x)); d = z * log(x) + log(-log(y)); e = x * log(z) + log(-log(y)); f = log(x * z * -log(y)); g = y * log(x) + log(-log(z)); h = x * log(y) + log(-log(z)); i = log(x * y * -log(z)); m = a; res = "x^y^z"; if (b < m) m = b, res = "x^z^y"; if (c < m) m = c, res = "(x^y)^z"; if (d < m) m = d, res = "y^x^z"; if (e < m) m = e, res = "y^z^x"; if (f < m) m = f, res = "(y^x)^z"; if (g < m) m = g, res = "z^x^y"; if (h < m) m = h, res = "z^y^x"; if (i < m) m = i, res = "(z^x)^y"; printf("%s\n", res.c_str()); } else { if (log(x) >= 0) { a = z * log(y) + log(log(x)); b = y * log(z) + log(log(x)); c = log(y * z * log(x)); } if (log(y) >= 0) { d = z * log(x) + log(log(y)); e = x * log(z) + log(log(y)); f = log(x * z * log(y)); } if (log(z) >= 0) { g = y * log(x) + log(log(z)); h = x * log(y) + log(log(z)); i = log(x * y * log(z)); } bool flag = 0; if (log(x) >= 0 && (a > m || !flag)) m = a, res = "x^y^z", flag = 1; if (log(x) >= 0 && (b > m || !flag)) m = b, res = "x^z^y", flag = 1; if (log(x) >= 0 && (c > m || !flag)) m = c, res = "(x^y)^z", flag = 1; if (log(y) >= 0 && (d > m || !flag)) m = d, res = "y^x^z", flag = 1; if (log(y) >= 0 && (e > m || !flag)) m = e, res = "y^z^x", flag = 1; if (log(y) >= 0 && (f > m || !flag)) m = f, res = "(y^x)^z", flag = 1; if (log(z) >= 0 && (g > m || !flag)) m = g, res = "z^x^y", flag = 1; if (log(z) >= 0 && (h > m || !flag)) m = h, res = "z^y^x", flag = 1; if (log(z) >= 0 && (i > m || !flag)) m = i, res = "(z^x)^y", flag = 1; printf("%s\n", res.c_str()); } }
#include <bits/stdc++.h> using namespace std; const double PI = acos(-1.0); const double eps = 1e-9; const long long int mod = 1e9 + 7; const long long int inf = 1LL << 30; const int MAXN = 1e5 + 5; void cp() { double x, y, z; cin >> x >> y >> z; vector<double> arr; if (x > 1. || y > 1. || z > 1.) { arr.push_back(z * log(y) + log(log(x))); arr.push_back(y * log(z) + log(log(x))); arr.push_back(log(y) + log(z) + log(log(x))); arr.push_back(log(y) + log(z) + log(log(x))); swap(x, y); arr.push_back(z * log(y) + log(log(x))); arr.push_back(y * log(z) + log(log(x))); arr.push_back(log(y) + log(z) + log(log(x))); arr.push_back(log(y) + log(z) + log(log(x))); swap(x, z); arr.push_back(z * log(y) + log(log(x))); arr.push_back(y * log(z) + log(log(x))); arr.push_back(log(y) + log(z) + log(log(x))); arr.push_back(log(y) + log(z) + log(log(x))); for (double &X : arr) if (isnan(X)) X = -DBL_MAX; } else { arr.push_back(pow(x, pow(y, z))); arr.push_back(pow(x, pow(z, y))); arr.push_back(pow(x, y * z)); arr.push_back(pow(x, y * z)); swap(x, y); arr.push_back(pow(x, pow(y, z))); arr.push_back(pow(x, pow(z, y))); arr.push_back(pow(x, y * z)); arr.push_back(pow(x, y * z)); swap(x, z); arr.push_back(pow(x, pow(y, z))); arr.push_back(pow(x, pow(z, y))); arr.push_back(pow(x, y * z)); arr.push_back(pow(x, y * z)); } string ans; int idx = max_element(arr.begin(), arr.end()) - begin(arr); if (idx == 0) ans = "x^y^z"; else if (idx == 1) ans = "x^z^y"; else if (idx == 2) ans = "(x^y)^z"; else if (idx == 3) ans = "(x^z)^y"; else if (idx == 4) ans = "y^x^z"; else if (idx == 5) ans = "y^z^x"; else if (idx == 6) ans = "(y^x)^z"; else if (idx == 7) ans = "(y^z)^x"; else if (idx == 8) ans = "z^x^y"; else if (idx == 9) ans = "z^y^x"; else if (idx == 10) ans = "(z^x)^y"; else ans = "(z^y)^x"; cout << ans << '\n'; } int main() { ios_base::sync_with_stdio(false); cin.tie(NULL); cout.tie(NULL); ; int t; t = 1; while (t--) { cp(); } return 0; }
#include <bits/stdc++.h> double aa[12]; int sign[12]; int compare(const void *a, const void *b) { int i = *(int *)a; int j = *(int *)b; if (sign[i] != sign[j]) return sign[j] - sign[i]; if (sign[i] == 0) return i - j; return aa[i] == aa[j] ? i - j : aa[i] > aa[j] ? -sign[i] : sign[i]; } void power(int i, double x, double y, double z) { if (x == 1) sign[i] = 0; else if (x > 1) { sign[i] = 1; aa[i] = z * log(y) + log(log(x)); } else { sign[i] = -1; aa[i] = z * log(y) + log(-log(x)); } } void power_(int i, double x, double yz) { if (x == 1) sign[i] = 0; else if (x > 1) { sign[i] = 1; aa[i] = log(yz) + log(log(x)); } else { sign[i] = -1; aa[i] = log(yz) + log(-log(x)); } } int main() { static char ss[12][16] = {"x^y^z", "x^z^y", "(x^y)^z", "(x^z)^y", "y^x^z", "y^z^x", "(y^x)^z", "(y^z)^x", "z^x^y", "z^y^x", "(z^x)^y", "(z^y)^x"}; static int ii[12]; double x, y, z; int i; scanf("%lf%lf%lf", &x, &y, &z); power(0, x, y, z); power(1, x, z, y); power_(2, x, y * z); power_(3, x, y * z); power(4, y, x, z); power(5, y, z, x); power_(6, y, x * z); power_(7, y, x * z); power(8, z, x, y); power(9, z, y, x); power_(10, z, x * y); power_(11, z, x * y); for (i = 0; i < 12; i++) ii[i] = i; qsort(ii, 12, sizeof *ii, compare); printf("%s\n", ss[ii[0]]); return 0; }
#include <bits/stdc++.h> using namespace std; const int MOD = 1e9 + 7; int Scan() { int res = 0, ch, flag = 0; if ((ch = getchar()) == '-') flag = 1; else if (ch >= '0' && ch <= '9') res = ch - '0'; while ((ch = getchar()) >= '0' && ch <= '9') res = res * 10 + ch - '0'; return flag ? -res : res; } pair<double, int> cmp(double x, double y, double z, int id) { if (z * log10(y) >= y * log10(z) && z * log10(y) >= (double)(log10(z) + log10(y))) return make_pair(z * log10(y) + log10(log10(x)), 1 + id); if (y * log10(z) >= z * log10(y) && y * log10(z) >= (double)(log10(z) + log10(y))) return make_pair(y * log10(z) + log10(log10(x)), 2 + id); if ((double)(log10(z) + log10(y)) >= z * log10(y) && (log10(z) + log10(y)) >= y * log10(z)) return make_pair((log10(z) + log10(y)) + log10(log10(x)), 3 + id); } int cmp2(pair<double, int> p1, pair<double, int> p2, pair<double, int> p3) { if (p1.first >= p2.first && p1.first >= p3.first) return p1.second; if (p2.first >= p1.first && p2.first >= p3.first) return p2.second; if (p3.first >= p1.first && p3.first >= p2.first) return p3.second; } pair<double, int> cmp3(double x, double y, double z, int id) { if (z * log10(y) <= y * log10(z) && z * log10(y) <= (double)(log10(z) + log10(y))) return make_pair(z * log10(y) + log10(log10(x)), 1 + id); if (y * log10(z) <= z * log10(y) && y * log10(z) <= (double)(log10(z) + log10(y))) return make_pair(y * log10(z) + log10(log10(x)), 2 + id); if ((double)(log10(z) + log10(y)) <= z * log10(y) && (log10(z) + log10(y)) <= y * log10(z)) return make_pair((log10(z) + log10(y)) + log10(log10(x)), 3 + id); } int cmp4(pair<double, int> p1, pair<double, int> p2, pair<double, int> p3) { if (p1.first <= p2.first && p1.first <= p3.first) return p1.second; if (p2.first <= p1.first && p2.first <= p3.first) return p2.second; if (p3.first <= p1.first && p3.first <= p2.first) return p3.second; } void show1(char x, char y, char z) { printf("%c^%c^%c\n", x, y, z); } void show2(char x, char y, char z) { printf("(%c^%c)^%c", x, y, z); } int main() { double x, y, z; cin >> x >> y >> z; if (x > 1 && y > 1 && z > 1) { pair<double, int> p1 = cmp(x, y, z, 0); pair<double, int> p2 = cmp(y, x, z, 4); pair<double, int> p3 = cmp(z, x, y, 8); int res = cmp2(p1, p2, p3); switch (res) { case 1: show1('x', 'y', 'z'); break; case 2: show1('x', 'z', 'y'); break; case 3: show2('x', 'y', 'z'); break; case 4: show2('x', 'z', 'y'); break; case 5: show1('y', 'x', 'z'); break; case 6: show1('y', 'z', 'x'); break; case 7: show2('y', 'x', 'z'); break; case 8: show2('y', 'z', 'x'); break; case 9: show1('z', 'x', 'y'); break; case 10: show1('z', 'y', 'x'); break; case 11: show2('z', 'x', 'y'); break; case 12: show2('z', 'y', 'x'); break; } } else if (x > 1 && y > 1) { pair<double, int> p1 = cmp(x, y, z, 0); pair<double, int> p2 = cmp(y, x, z, 4); int res = p1.first > p2.first ? p1.second : p2.second; if (fabs(p1.first - p2.first) < 1e-9) res = p1.second; switch (res) { case 1: show1('x', 'y', 'z'); break; case 2: show1('x', 'z', 'y'); break; case 3: show2('x', 'y', 'z'); break; case 4: show2('x', 'z', 'y'); break; case 5: show1('y', 'x', 'z'); break; case 6: show1('y', 'z', 'x'); break; case 7: show2('y', 'x', 'z'); break; case 8: show2('y', 'z', 'x'); break; case 9: show1('z', 'x', 'y'); break; case 10: show1('z', 'y', 'x'); break; case 11: show2('z', 'x', 'y'); break; case 12: show2('z', 'y', 'x'); break; } } else if (y > 1 && z > 1) { pair<double, int> p2 = cmp(y, x, z, 4); pair<double, int> p3 = cmp(z, x, y, 8); int res = p2.first >= p3.first ? p2.second : p3.second; if (fabs(p2.first - p3.first) < 1e-9) res = p2.second; switch (res) { case 1: show1('x', 'y', 'z'); break; case 2: show1('x', 'z', 'y'); break; case 3: show2('x', 'y', 'z'); break; case 4: show2('x', 'z', 'y'); break; case 5: show1('y', 'x', 'z'); break; case 6: show1('y', 'z', 'x'); break; case 7: show2('y', 'x', 'z'); break; case 8: show2('y', 'z', 'x'); break; case 9: show1('z', 'x', 'y'); break; case 10: show1('z', 'y', 'x'); break; case 11: show2('z', 'x', 'y'); break; case 12: show2('z', 'y', 'x'); break; } } else if (x > 1 && z > 1) { pair<double, int> p1 = cmp(x, y, z, 0); pair<double, int> p3 = cmp(z, x, y, 8); int res = p1.first >= p3.first ? p1.second : p3.second; if (fabs(p1.first - p3.first) < 1e-9) res = p1.second; switch (res) { case 1: show1('x', 'y', 'z'); break; case 2: show1('x', 'z', 'y'); break; case 3: show2('x', 'y', 'z'); break; case 4: show2('x', 'z', 'y'); break; case 5: show1('y', 'x', 'z'); break; case 6: show1('y', 'z', 'x'); break; case 7: show2('y', 'x', 'z'); break; case 8: show2('y', 'z', 'x'); break; case 9: show1('z', 'x', 'y'); break; case 10: show1('z', 'y', 'x'); break; case 11: show2('z', 'x', 'y'); break; case 12: show2('z', 'y', 'x'); break; } } else if (x > 1) { pair<double, int> p1 = cmp(x, y, z, 0); int res = p1.second; switch (res) { case 1: show1('x', 'y', 'z'); break; case 2: show1('x', 'z', 'y'); break; case 3: show2('x', 'y', 'z'); break; case 4: show2('x', 'z', 'y'); break; case 5: show1('y', 'x', 'z'); break; case 6: show1('y', 'z', 'x'); break; case 7: show2('y', 'x', 'z'); break; case 8: show2('y', 'z', 'x'); break; case 9: show1('z', 'x', 'y'); break; case 10: show1('z', 'y', 'x'); break; case 11: show2('z', 'x', 'y'); break; case 12: show2('z', 'y', 'x'); break; } } else if (y > 1) { pair<double, int> p2 = cmp(y, x, z, 4); int res = p2.second; switch (res) { case 1: show1('x', 'y', 'z'); break; case 2: show1('x', 'z', 'y'); break; case 3: show2('x', 'y', 'z'); break; case 4: show2('x', 'z', 'y'); break; case 5: show1('y', 'x', 'z'); break; case 6: show1('y', 'z', 'x'); break; case 7: show2('y', 'x', 'z'); break; case 8: show2('y', 'z', 'x'); break; case 9: show1('z', 'x', 'y'); break; case 10: show1('z', 'y', 'x'); break; case 11: show2('z', 'x', 'y'); break; case 12: show2('z', 'y', 'x'); break; } } else if (z > 1) { pair<double, int> p3 = cmp(z, x, y, 8); int res = p3.second; switch (res) { case 1: show1('x', 'y', 'z'); break; case 2: show1('x', 'z', 'y'); break; case 3: show2('x', 'y', 'z'); break; case 4: show2('x', 'z', 'y'); break; case 5: show1('y', 'x', 'z'); break; case 6: show1('y', 'z', 'x'); break; case 7: show2('y', 'x', 'z'); break; case 8: show2('y', 'z', 'x'); break; case 9: show1('z', 'x', 'y'); break; case 10: show1('z', 'y', 'x'); break; case 11: show2('z', 'x', 'y'); break; case 12: show2('z', 'y', 'x'); break; } } else if (x == 1) { int res = 1; switch (res) { case 1: show1('x', 'y', 'z'); break; case 2: show1('x', 'z', 'y'); break; case 3: show2('x', 'y', 'z'); break; case 4: show2('x', 'z', 'y'); break; case 5: show1('y', 'x', 'z'); break; case 6: show1('y', 'z', 'x'); break; case 7: show2('y', 'x', 'z'); break; case 8: show2('y', 'z', 'x'); break; case 9: show1('z', 'x', 'y'); break; case 10: show1('z', 'y', 'x'); break; case 11: show2('z', 'x', 'y'); break; case 12: show2('z', 'y', 'x'); break; } } else if (y == 1) { int res = 5; switch (res) { case 1: show1('x', 'y', 'z'); break; case 2: show1('x', 'z', 'y'); break; case 3: show2('x', 'y', 'z'); break; case 4: show2('x', 'z', 'y'); break; case 5: show1('y', 'x', 'z'); break; case 6: show1('y', 'z', 'x'); break; case 7: show2('y', 'x', 'z'); break; case 8: show2('y', 'z', 'x'); break; case 9: show1('z', 'x', 'y'); break; case 10: show1('z', 'y', 'x'); break; case 11: show2('z', 'x', 'y'); break; case 12: show2('z', 'y', 'x'); break; } } else if (z == 1) { int res = 9; switch (res) { case 1: show1('x', 'y', 'z'); break; case 2: show1('x', 'z', 'y'); break; case 3: show2('x', 'y', 'z'); break; case 4: show2('x', 'z', 'y'); break; case 5: show1('y', 'x', 'z'); break; case 6: show1('y', 'z', 'x'); break; case 7: show2('y', 'x', 'z'); break; case 8: show2('y', 'z', 'x'); break; case 9: show1('z', 'x', 'y'); break; case 10: show1('z', 'y', 'x'); break; case 11: show2('z', 'x', 'y'); break; case 12: show2('z', 'y', 'x'); break; } } else { pair<double, int> p1 = cmp3(1 / x, y, z, 0); pair<double, int> p2 = cmp3(1 / y, x, z, 4); pair<double, int> p3 = cmp3(1 / z, x, y, 8); int res = cmp4(p1, p2, p3); switch (res) { case 1: show1('x', 'y', 'z'); break; case 2: show1('x', 'z', 'y'); break; case 3: show2('x', 'y', 'z'); break; case 4: show2('x', 'z', 'y'); break; case 5: show1('y', 'x', 'z'); break; case 6: show1('y', 'z', 'x'); break; case 7: show2('y', 'x', 'z'); break; case 8: show2('y', 'z', 'x'); break; case 9: show1('z', 'x', 'y'); break; case 10: show1('z', 'y', 'x'); break; case 11: show2('z', 'x', 'y'); break; case 12: show2('z', 'y', 'x'); break; } } return 0; }
#include <bits/stdc++.h> using namespace std; const char ans[15][10] = {"x^y^z", "x^z^y", "(x^y)^z", "(x^z)^y", "y^x^z", "y^z^x", "(y^x)^z", "(y^z)^x", "z^x^y", "z^y^x", "(z^x)^y", "(z^y)^x"}; double cal(double x, double y, double z, int k) { switch (k) { case 0: return z * log(y) + log(log(x)); case 1: return y * log(z) + log(log(x)); case 2: case 3: return log(y) + log(z) + log(log(x)); case 4: return z * log(x) + log(log(y)); case 5: return x * log(z) + log(log(y)); case 6: case 7: return log(x) + log(z) + log(log(y)); case 8: return y * log(x) + log(log(z)); case 9: return x * log(y) + log(log(z)); case 10: case 11: return log(x) + log(y) + log(log(z)); } } int main() { double a[5]; scanf("%lf%lf%lf", &a[0], &a[1], &a[2]); if (a[0] > 1.0 || a[1] > 1.0 || a[2] > 1.0) { int m = -1; double k = -1.0; for (int i = (0); i <= (2); i++) { if (a[i] < 1.0) continue; for (int j = (0); j <= (3); j++) { double tmp = cal(a[0], a[1], a[2], i * 4 + j); if (m == -1 || tmp - k > 1e-10) { m = i * 4 + j; k = tmp; } } } printf("%s", ans[m]); } else { int m = -1; double k = 1.0; for (int i = (0); i <= (2); i++) { double t = a[i]; a[i] = 1 / a[i]; for (int j = (0); j <= (3); j++) { double tmp = cal(a[0], a[1], a[2], i * 4 + j); if (m == -1 || k - tmp > 1e-10) { m = i * 4 + j; k = tmp; } } a[i] = t; } printf("%s", ans[m]); } return 0; }
#include <bits/stdc++.h> using namespace std; double ans[13]; int id[13]; bool flag[13]; char s[13][13] = {" ", "x^y^z", "x^z^y", "(x^y)^z", "(x^z)^y", "y^x^z", "y^z^x", "(y^x)^z", "(y^z)^x", "z^x^y", "z^y^x", "(z^x)^y", "(z^y)^x"}; bool cmp(int i, int j) { return ans[i] < ans[j]; } bool cmp1(int i, int j) { if (flag[i] != flag[j]) return flag[i] > flag[j]; return ans[i] > ans[j]; } int main() { double x, y, z, xx, yy, zz; scanf("%lf%lf%lf", &x, &y, &z); for (int i = 1; i <= 12; i++) { id[i] = i; flag[i] = true; } if (x < 1 && y < 1 && z < 1) { xx = 1.0 / x; yy = 1.0 / y; zz = 1.0 / z; ans[1] = z * log(y) + log(log(xx)); ans[2] = y * log(z) + log(log(xx)); ans[3] = log(y * z * log(xx)); ans[4] = log(y * z * log(xx)); ans[5] = z * log(x) + log(log(yy)); ans[6] = x * log(z) + log(log(yy)); ans[7] = log(x * z * log(yy)); ans[8] = log(x * z * log(yy)); ans[9] = y * log(x) + log(log(zz)); ans[10] = x * log(y) + log(log(zz)); ans[11] = log(x * y * log(zz)); ans[12] = log(x * y * log(zz)); sort(id + 1, id + 13, cmp); printf("%s", s[id[1]]); } else { if (x >= 1) { ans[1] = z * log(y) + log(log(x)); ans[2] = y * log(z) + log(log(x)); ans[3] = log(y * z * log(x)); ans[4] = log(y * z * log(x)); } else flag[1] = flag[2] = flag[3] = flag[4] = false; if (y >= 1) { ans[5] = z * log(x) + log(log(y)); ans[6] = x * log(z) + log(log(y)); ans[7] = log(x * z * log(y)); ans[8] = log(x * z * log(y)); } else flag[5] = flag[6] = flag[7] = flag[8] = false; if (z >= 1) { ans[9] = y * log(x) + log(log(z)); ans[10] = x * log(y) + log(log(z)); ans[11] = log(x * y * log(z)); ans[12] = log(x * y * log(z)); } else flag[9] = flag[10] = flag[11] = flag[12] = false; sort(id + 1, id + 13, cmp1); printf("%s", s[id[1]]); } return 0; }
#include <bits/stdc++.h> using namespace std; int main() { double x, y, z; cin >> x >> y >> z; double a[12]; auto check = [&a]() -> bool { for (int i = 0; i < 12; ++i) if (std::isinf(a[i]) || std::isnan(a[i])) return true; return false; }; a[0] = pow(x, pow(y, z)); a[1] = pow(x, pow(z, y)); a[2] = pow(x, y * z); a[3] = a[2]; a[4] = pow(y, pow(x, z)); a[5] = pow(y, pow(z, x)); a[6] = pow(y, x * z); a[7] = a[2]; a[8] = pow(z, pow(x, y)); a[9] = pow(z, pow(y, x)); a[10] = pow(z, x * y); a[11] = a[2]; if (check()) { a[0] = pow(y, z) * log2(x); a[1] = pow(z, y) * log2(x); a[2] = y * z * log2(x); a[3] = a[2]; a[4] = pow(x, z) * log2(y); a[5] = pow(z, x) * log2(y); a[6] = x * z * log2(y); a[7] = a[6]; a[8] = pow(x, y) * log2(z); a[9] = pow(y, x) * log2(z); a[10] = x * y * log2(z); a[11] = a[6]; if (check()) { a[0] = z * log2(y) + log2(log2(x)); a[1] = y * log2(z) + log2(log2(x)); a[2] = log2(y) + log2(z) + log2(log2(x)); a[3] = a[2]; a[4] = z * log2(x) + log2(log2(y)); a[5] = x * log2(z) + log2(log2(y)); a[6] = log2(x) + log2(z) + log2(log2(y)); a[7] = a[6]; a[8] = y * log2(x) + log2(log2(z)); a[9] = x * log2(y) + log2(log2(z)); a[10] = log2(x) + log2(y) + log2(log2(z)); a[11] = a[10]; } } const char* s[] = {"x^y^z", "x^z^y", "(x^y)^z", "(x^z)^y", "y^x^z", "y^z^x", "(y^x)^z", "(y^z)^x", "z^x^y", "z^y^x", "(z^x)^y", "(z^y)^x"}; int i = 0; for (int j = 1; j < 12; ++j) if (a[j] > a[i]) i = j; cout << s[i] << endl; return 0; }
#include <bits/stdc++.h> using namespace std; int main() { long double x, y, z, a[13] = {0}, maxa = -1; cin >> x >> y >> z; a[1] = pow(y, z) * log(x); a[2] = pow(z, y) * log(x); a[3] = z * y * log(x); a[4] = y * z * log(x); a[5] = pow(x, z) * log(y); a[6] = pow(z, x) * log(y); a[7] = z * x * log(y); a[8] = x * z * log(y); a[9] = pow(x, y) * log(z); a[10] = pow(y, x) * log(z); a[11] = y * x * log(z); a[12] = x * y * log(z); int maxi = 0; for (int i = 1; i <= 12; i++) { if (a[i] > maxa) { maxi = i; maxa = a[i]; } } string s[13] = {"", "x^y^z", "x^z^y", "(x^y)^z", "(x^z)^y", "y^x^z", "y^z^x", "(y^x)^z", "(y^z)^x", "z^x^y", "z^y^x", "(z^x)^y", "(z^y)^x"}; cout << s[maxi]; return 0; }
#include <bits/stdc++.h> using namespace std; double a[15]; void print(int p) { if (p == 1) printf("x^y^z"); else if (p == 2) printf("x^z^y"); else if (p == 3) printf("(x^y)^z"); else if (p == 4) printf("(x^z)^y"); else if (p == 5) printf("y^x^z"); else if (p == 6) printf("y^z^x"); else if (p == 7) printf("(y^x)^z"); else if (p == 8) printf("(y^z)^x"); else if (p == 9) printf("z^x^y"); else if (p == 10) printf("z^y^x"); else if (p == 11) printf("(z^x)^y"); else printf("(z^y)^x"); } int main() { double x, y, z; scanf("%lf%lf%lf", &x, &y, &z); if (log(x) < -1e-10 && log(y) < -1e-10 && log(z) < -1e-10) { a[1] = z * log(y) + log(-log(x)); a[2] = y * log(z) + log(-log(x)); a[3] = log(y) + log(z) + log(-log(x)); a[4] = a[3]; a[5] = z * log(x) + log(-log(y)); a[6] = x * log(z) + log(-log(y)); a[7] = log(x) + log(z) + log(-log(y)); a[8] = a[7]; a[9] = y * log(x) + log(-log(z)); a[10] = x * log(y) + log(-log(z)); a[11] = log(x) + log(y) + log(-log(z)); a[12] = a[11]; double s = 1000000000.0; for (int i = 1; i <= 12; i++) { s = min(s, a[i]); } for (int i = 1; i <= 12; i++) { if (fabs(s - a[i]) < 1e-10) { print(i); return 0; } } } else { if (log(x) < -1e-10) { double s = max(log(x), log(y)); s = max(s, log(z)); if (fabs(s) < 1e-10) { if (fabs(log(y)) < 1e-10) { print(5); } else { print(9); } return 0; } for (int i = 1; i <= 12; i++) a[i] = -1000000000.0; if (log(y) > 1e-10) { a[5] = z * log(x) + log(log(y)); a[6] = x * log(z) + log(log(y)); a[7] = log(x) + log(z) + log(log(y)); a[8] = a[7]; } if (log(z) > 1e-10) { a[9] = y * log(x) + log(log(z)); a[10] = x * log(y) + log(log(z)); a[11] = log(x) + log(y) + log(log(z)); a[12] = a[11]; } s = -1000000000.0; for (int i = 1; i <= 12; i++) { s = max(s, a[i]); } for (int i = 1; i <= 12; i++) { if (fabs(s - a[i]) < 1e-10) { print(i); return 0; } } } else { double s = max(log(x), log(y)); s = max(s, log(z)); if (fabs(s) < 1e-10) { if (fabs(log(x)) < 1e-10) { print(1); } else if (fabs(log(y)) < 1e-10) { print(5); } else print(9); return 0; } for (int i = 1; i <= 12; i++) a[i] = -1000000000.0; a[1] = z * log(y) + log(log(x)); a[2] = y * log(z) + log(log(x)); a[3] = log(y) + log(z) + log(log(x)); a[4] = a[3]; if (log(y) > 1e-10) { a[5] = z * log(x) + log(log(y)); a[6] = x * log(z) + log(log(y)); a[7] = log(x) + log(z) + log(log(y)); a[8] = a[7]; } if (log(z) > 1e-10) { a[9] = y * log(x) + log(log(z)); a[10] = x * log(y) + log(log(z)); a[11] = log(x) + log(y) + log(log(z)); a[12] = a[11]; } s = -1000000000.0; for (int i = 1; i <= 12; i++) { s = max(s, a[i]); } for (int i = 1; i <= 12; i++) { if (fabs(s - a[i]) < 1e-10) { print(i); return 0; } } } } }
#include <bits/stdc++.h> using namespace std; int main() { char s[13][15] = {{" "}, {"x^y^z"}, {"x^z^y"}, {"(x^y)^z"}, {"(x^z)^y"}, {"y^x^z"}, {"y^z^x"}, {"(y^x)^z"}, {"(y^z)^x"}, {"z^x^y"}, {"z^y^x"}, {"(z^x)^y"}, {"(z^y)^x"}}; long double a[15]; long double x, y, z; cin >> x >> y >> z; a[1] = pow(y, z) * log(x); a[2] = pow(z, y) * log(x); a[3] = z * log(pow(x, y)); a[4] = y * log(pow(x, z)); a[5] = pow(x, z) * log(y); a[6] = pow(z, x) * log(y); a[7] = z * log(pow(y, x)); a[8] = x * log(pow(y, z)); a[9] = pow(x, y) * log(z); a[10] = pow(y, x) * log(z); a[11] = y * log(pow(z, x)); a[12] = x * log(pow(z, y)); long double ma = -1000000; int pos = 0; for (int i = 1; i <= 12; i++) { if (a[i] > ma + 1e-6) { ma = a[i]; pos = i; } } cout << s[pos] << endl; }
#include <bits/stdc++.h> using namespace std; long double eps = -1e12; inline bool eq(const long double &x, const long double &y) { return abs(x - y) < eps || abs(x - y) < eps * abs(x); } int main() { long double x, y, z; cin >> x >> y >> z; string expression[12] = {"x^y^z", "x^z^y", "(x^y)^z", "(x^z)^y", "y^x^z", "y^z^x", "(y^x)^z", "(y^z)^x", "z^x^y", "z^y^x", "(z^x)^y", "(z^y)^x"}; vector<long double> ans(12, 0); long double res = -1000; long double logx = log(x); long double logy = log(y); long double logz = log(z); ans[0] = pow(y, z) * logx; ans[1] = pow(z, y) * logx; ans[2] = logx * y * z; ans[3] = ans[2]; ans[4] = pow(x, z) * logy; ans[5] = pow(z, x) * logy; ans[6] = logy * x * z; ans[7] = ans[6]; ans[8] = pow(x, y) * logz; ans[9] = pow(y, x) * logz; ans[10] = logz * y * x; ans[11] = ans[10]; int index = 0; for (int i = 0; i < 12; ++i) { if (ans[i] > res && !eq(ans[i], res)) { res = ans[i]; index = i; } } cout << expression[index] << endl; return 0; }
#include <bits/stdc++.h> using namespace std; int main() { ios_base::sync_with_stdio(0); cin.tie(NULL); ; double arr[13]; double x, y, z, lx, ly, lz, llx, lly, llz; cin >> x >> y >> z; if (!(x < 1.05 && y < 1.05 && z < 1.05)) { lx = log(x); ly = log(y); lz = log(z); llx = -1000000000000000000; lly = -1000000000000000000; llz = -1000000000000000000; if (lx > 0) llx = log(lx); if (ly > 0) lly = log(ly); if (lz > 0) llz = log(lz); arr[1] = z * ly + llx; arr[2] = y * lz + llx; arr[3] = log(y * z * lx); arr[4] = -10000000000000000; arr[5] = z * lx + lly; arr[6] = x * lz + lly; arr[7] = log(x * z * ly); arr[8] = -100000000000000000; arr[9] = y * lx + llz; arr[10] = x * ly + llz; arr[11] = log(x * y * lz); arr[12] = -10000000000000000; } else { arr[1] = pow(x, pow(y, z)); arr[2] = pow(x, pow(z, y)); arr[3] = pow(x, (y * z)); arr[4] = -10000000000000000; arr[5] = pow(y, pow(x, z)); arr[6] = pow(y, pow(z, x)); arr[7] = pow(y, (x * z)); arr[8] = -100000000000000000; arr[9] = pow(z, pow(x, y)); arr[10] = pow(z, pow(y, x)); arr[11] = pow(z, (y * x)); arr[12] = -10000000000000000; } long long ind = 1; double ma = arr[1]; for (long long i = 2; i < 13; ++i) { if (arr[i] > ma) { ind = i; ma = arr[i]; } } if (ind == 1) cout << "x^y^z"; else if (ind == 2) cout << "x^z^y"; else if (ind == 3) cout << "(x^y)^z"; else if (ind == 5) cout << "y^x^z"; else if (ind == 6) cout << "y^z^x"; else if (ind == 7) cout << "(y^x)^z"; else if (ind == 9) cout << "z^x^y"; else if (ind == 10) cout << "z^y^x"; else if (ind == 11) cout << "(z^x)^y"; return 0; }
#include <bits/stdc++.h> #pragma warning(disable : 4996) using namespace std; bool eq(long double x, long double y) { return abs(x - y) < 1E-20; } int main() { int ans; long double x, y, z; cin >> x >> y >> z; long double a[12], lx = log(x), llx = log(lx), ly = log(y), lly = log(ly), lz = log(z), llz = log(log(z)); a[1] = lx * pow(y, z); a[2] = lx * pow(z, y); a[3] = lx * y * z; a[4] = a[2]; a[5] = ly * pow(x, z); a[6] = ly * pow(z, x); a[7] = ly * x * z; a[8] = a[7]; a[9] = lz * pow(x, y); a[10] = lz * pow(y, x); a[11] = lz * x * y; long double max = a[1], max1; int tmp = 1; for (int i = 2; i < 12; i++) { if (!eq(a[i], max) && max < a[i]) { max = a[i]; tmp = i; } } switch (tmp) { case 1: printf("x^y^z"); break; case 2: printf("x^z^y"); break; case 3: printf("(x^y)^z"); break; case 4: printf("(x^y)^z"); break; case 5: printf("y^x^z"); break; case 6: printf("y^z^x"); break; case 7: printf("(y^x)^z"); break; case 8: printf("(y^x)^z"); break; case 9: printf("z^x^y"); break; case 10: printf("z^y^x"); break; case 11: printf("(z^x)^y"); break; default: printf(".."); break; } }
#include <bits/stdc++.h> using namespace std; const int MX = 100005, infi = 1000000, mod = 1000000007; long double x, y, z, mx, lx, ly, lz, eps = 0.000000001; string sol = "x^y^z"; int main() { ios_base::sync_with_stdio(0); cin.tie(0); cout.tie(0); cin >> x >> y >> z; mx = pow(y, z) * log(x); if (pow(z, y) * log(x) - mx > eps) mx = pow(z, y) * log(x), sol = "x^z^y"; if (z * log(pow(x, y)) - mx > eps) mx = z * log(pow(x, y)), sol = "(x^y)^z"; if (y * log(pow(x, z)) - mx > eps) mx = y * log(pow(x, z)), sol = "(x^z)^y"; if (pow(x, z) * log(y) - mx > eps) mx = pow(x, z) * log(y), sol = "y^x^z"; if (pow(z, x) * log(y) - mx > eps) mx = pow(z, x) * log(y), sol = "y^z^x"; if (z * log(pow(y, x)) - mx > eps) mx = z * log(pow(y, x)), sol = "(y^x)^z"; if (x * log(pow(y, z)) - mx > eps) mx = x * log(pow(y, z)), sol = "(y^z)^x"; if (pow(x, y) * log(z) - mx > eps) mx = pow(x, y) * log(z), sol = "z^x^y"; if (pow(y, x) * log(z) - mx > eps) mx = pow(y, x) * log(z), sol = "z^y^x"; if (y * log(pow(z, x)) - mx > eps) mx = y * log(pow(z, x)), sol = "(z^x)^y"; if (x * log(pow(z, y)) - mx > eps) mx = x * log(pow(z, y)), sol = "(z^y)^x"; cout << sol; return 0; }
#include <bits/stdc++.h> using namespace std; long double myLogLog(long double x, long double y, long double z, bool type, bool log_mode, bool* ignore, int num); int main() { long double x, y, z; long double m = -1e10, _m; int c; bool log_mode = false, ignore[12] = {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}; cin >> x >> y >> z; ((x > 1 || y > 1 || z > 1) ? log_mode = true : log_mode = false); _m = myLogLog(z, y, x, 0, log_mode, ignore, 12 - 1); if (m <= _m + 1e-6 && !ignore[12 - 1]) { m = _m; c = 12; } _m = myLogLog(z, x, y, 0, log_mode, ignore, 11 - 1); if (m <= _m + 1e-6 && !ignore[11 - 1]) { m = _m; c = 11; } _m = myLogLog(z, y, x, 1, log_mode, ignore, 10 - 1); if (m <= _m + 1e-6 && !ignore[10 - 1]) { m = _m; c = 10; } _m = myLogLog(z, x, y, 1, log_mode, ignore, 9 - 1); if (m <= _m + 1e-6 && !ignore[9 - 1]) { m = _m; c = 9; } _m = myLogLog(y, z, x, 0, log_mode, ignore, 8 - 1); if (m <= _m + 1e-6 && !ignore[8 - 1]) { m = _m; c = 8; } _m = myLogLog(y, x, z, 0, log_mode, ignore, 7 - 1); if (m <= _m + 1e-6 && !ignore[7 - 1]) { m = _m; c = 7; } _m = myLogLog(y, z, x, 1, log_mode, ignore, 6 - 1); if (m <= _m + 1e-6 && !ignore[6 - 1]) { m = _m; c = 6; } _m = myLogLog(y, x, z, 1, log_mode, ignore, 5 - 1); if (m <= _m + 1e-6 && !ignore[5 - 1]) { m = _m; c = 5; } _m = myLogLog(x, z, y, 0, log_mode, ignore, 4 - 1); if (m <= _m + 1e-6 && !ignore[4 - 1]) { m = _m; c = 4; } _m = myLogLog(x, y, z, 0, log_mode, ignore, 3 - 1); if (m <= _m + 1e-6 && !ignore[3 - 1]) { m = _m; c = 3; } _m = myLogLog(x, z, y, 1, log_mode, ignore, 2 - 1); if (m <= _m + 1e-6 && !ignore[2 - 1]) { m = _m; c = 2; } _m = myLogLog(x, y, z, 1, log_mode, ignore, 1 - 1); if (m <= _m + 1e-6 && !ignore[1 - 1]) { m = _m; c = 1; } switch (c) { case 12: cout << "(z^y)^x"; break; case 11: cout << "(z^x)^y"; break; case 10: cout << "z^y^x"; break; case 9: cout << "z^x^y"; break; case 8: cout << "(y^z)^x"; break; case 7: cout << "(y^x)^z"; break; case 6: cout << "y^z^x"; break; case 5: cout << "y^x^z"; break; case 4: cout << "(x^z)^y"; break; case 3: cout << "(x^y)^z"; break; case 2: cout << "x^z^y"; break; case 1: cout << "x^y^z"; break; } cout << endl; return 0; } long double myLogLog(long double x, long double y, long double z, bool type, bool log_mode, bool* ignore, int num) { if (!type) { if (log_mode) if (x <= 1) { ignore[num] = true; return 0; } else return log(z) + log(y) + log(log(x)); else return pow(pow(x, y), z); } else { if (log_mode) if (x <= 1) { ignore[num] = true; return 0; } else return z * log(y) + log(log(x)); else return pow(x, pow(y, z)); } }
#include <bits/stdc++.h> using namespace std; double EPS = 1e-12; int main() { double x, y, z; cin >> x >> y >> z; long double a[13]; string s[13]; a[1] = powl(y, z) * log(x); a[2] = powl(z, y) * log(x); a[3] = y * z * log(x); a[4] = y * z * log(x); a[5] = powl(x, z) * log(y); a[6] = powl(z, x) * log(y); a[7] = x * z * log(y); a[8] = x * z * log(y); a[9] = powl(x, y) * log(z); a[10] = powl(y, x) * log(z); a[11] = x * y * log(z); a[12] = x * y * log(z); s[1] = "x^y^z"; s[2] = "x^z^y"; s[3] = "(x^y)^z"; s[4] = "(x^z)^y"; s[5] = "y^x^z"; s[6] = "y^z^x"; s[7] = "(y^x)^z"; s[8] = "(y^z)^x"; s[9] = "z^x^y"; s[10] = "z^y^x"; s[11] = "(z^x)^y"; s[12] = "(z^y)^x"; long double mx = LONG_MIN; for (long long i = (long long)(1); i <= (long long)(12); i++) { cerr << "[DEBUG] " << "s[i]" << " = " << s[i] << endl; cerr << "[DEBUG] " << "a[i]" << " = " << a[i] << endl; mx = max(mx, a[i]); } for (long long i = (long long)(1); i <= (long long)(12); i++) if (fabs(mx - a[i]) < EPS) { cout << s[i]; return 0; } }
#include <bits/stdc++.h> using namespace std; const char *strs[] = {"x^y^z", "x^z^y", "(x^y)^z", "(x^y)^z", "y^x^z", "y^z^x", "(y^x)^z", "(y^x)^z", "z^x^y", "z^y^x", "(z^x)^y", "(z^x)^y"}; long double mylog(long double x) { return log(x); } int main() { long double x, y, z; vector<long double> r(12); double inf = 1.0 / 0.0; double nan = 0.0 / 0.0; cin >> x >> y >> z; r[0] = z * mylog(y) + mylog(mylog(x)); r[1] = y * mylog(z) + mylog(mylog(x)); r[2] = r[3] = mylog(y * z * mylog(x)); r[4] = z * mylog(x) + mylog(mylog(y)); r[5] = x * mylog(z) + mylog(mylog(y)); r[6] = r[7] = mylog(x * z * mylog(y)); r[8] = y * mylog(x) + mylog(mylog(z)); r[9] = x * mylog(y) + mylog(mylog(z)); r[10] = r[11] = mylog(y * x * mylog(z)); long double maxd = -inf; int mini = 0; for (int i = 0; i < 12; i++) { if (r[i] == nan) continue; if (r[i] > maxd) { maxd = r[i]; mini = i; } } if (maxd > -inf) { cout << strs[mini]; exit(0); } for (int i = 0; i < 12; i++) if (r[i] == -inf) { cout << strs[i]; exit(0); } r[0] = pow(x, pow(y, z)); r[1] = pow(x, pow(z, y)); r[2] = r[3] = pow(x, y * z); r[4] = pow(y, pow(x, z)); r[5] = pow(y, pow(z, x)); r[6] = r[7] = pow(y, z * x); r[8] = pow(z, pow(x, y)); r[9] = pow(z, pow(y, x)); r[10] = r[11] = pow(z, y * x); for (int i = 0; i < 12; i++) { if (r[i] > maxd) { maxd = r[i]; mini = i; } } cout << strs[mini]; }
#include <bits/stdc++.h> using namespace std; string ans[12] = {"x^y^z", "x^z^y", "(x^y)^z", "(x^z)^y", "y^x^z", "y^z^x", "(y^x)^z", "(y^z)^x", "z^x^y", "z^y^x", "(z^x)^y", "(z^y)^x"}; bool solve() { double first, second, z; scanf("%lf %lf %lf", &first, &second, &z); if (first < 5 && second < 5 && z < 5) { long double a[12] = { powl(second, z) * logl(first), powl(z, second) * logl(first), second * z * logl(first), z * second * logl(first), powl(first, z) * logl(second), powl(z, first) * logl(second), first * z * logl(second), z * first * logl(second), powl(first, second) * logl(z), powl(second, first) * logl(z), first * second * logl(z), second * first * logl(z)}; long double Max = a[0]; int idx = 0; for (int i = 1; i < 12; i++) { if (a[i] > Max) { Max = a[i]; idx = i; } } printf("%s\n", ans[idx].c_str()); } else { long double a[12] = {z * logl(second) + logl(logl(first)), second * logl(z) + logl(logl(first)), logl(second * z * logl(first)), logl(z * second * logl(first)), z * logl(first) + logl(logl(second)), first * logl(z) + logl(logl(second)), logl(first * z * logl(second)), logl(z * first * logl(second)), second * logl(first) + logl(logl(z)), first * logl(second) + logl(logl(z)), logl(first * second * logl(z)), logl(second * first * logl(z))}; if (logl(first) < 1e-8) a[0] = a[1] = a[2] = a[3] = -1e9; if (logl(second) < 1e-8) a[4] = a[5] = a[6] = a[7] = -1e9; if (logl(z) < 1e-8) a[8] = a[9] = a[10] = a[11] = -1e9; long double Max = a[0]; int idx = 0; for (int i = 1; i < 12; i++) { if (a[i] > Max) { Max = a[i]; idx = i; } } printf("%s\n", ans[idx].c_str()); } return true; } int main() { int t = 1; 00000; while (t--) solve(); }
#include <bits/stdc++.h> const int INF = 0x3f3f3f3f; using namespace std; long double resposta = -1 * INF; int mp[3]; bool par = false; long double calc(long double x, long double y, long double z, bool c) { if (c) return z * y * log(x); return pow(y, z) * log(x); } void calcula(int *v, map<int, long double> &p, bool c) { do { for (int i = 0; i < 3; i++) { long double x = p.find(v[0])->second; long double y = p.find(v[1])->second; long double z = p.find(v[2])->second; long double resp = calc(x, y, z, c); if (resp > resposta + 1e-8) { resposta = resp; mp[0] = v[0], mp[1] = v[1], mp[2] = v[2]; par = c; } } } while (next_permutation(v, v + 3)); } int main() { long double x, y, z; cin >> x >> y >> z; map<int, char> m; m[0] = 'x', m[1] = 'y', m[2] = 'z'; map<int, long double> p; p[0] = x, p[1] = y, p[2] = z; int v[] = {0, 1, 2}; calcula(v, p, false); calcula(v, p, true); char a, b, c; a = m.find(mp[0])->second; b = m.find(mp[1])->second; c = m.find(mp[2])->second; if (par) { printf("(%c^%c)^%c\n", a, b, c); } else printf("%c^%c^%c\n", a, b, c); return 0; }
#include <bits/stdc++.h> using namespace std; int id[20] = {0, 1, 2}; int neg[20], n2[20]; double a[20], b[20], ans[20]; int cnt = 0; string fuck[] = {"x^y^z", "x^z^y", "(x^y)^z", "(x^z)^y", "y^x^z", "y^z^x", "(y^x)^z", "(y^z)^x", "z^x^y", "z^y^x", "(z^x)^y", "(z^y)^x"}; struct data { int x, id; double y; bool operator<(const data &b) const { if (x != b.x) return x < b.x; if (x) { return y < b.y || (y == b.y && id < b.id); } return y > b.y || (y == b.y && id < b.id); } } hehe[20]; void f() { double temp = log(b[0]); if (temp < 0) ++neg[cnt], temp *= -1; ans[cnt++] = log(temp) + b[2] * log(b[1]); if (cnt % 2 == 0) cnt += 2; } void g() { double temp = b[2] * b[1] * log(b[0]); if (temp < 0) ++neg[cnt], temp *= -1; ans[cnt++] = log(temp); if (cnt % 2 == 0) cnt += 2; } int main() { for (int i = 0; i < 3; ++i) cin >> a[i]; do { for (int i = 0; i < 3; ++i) b[i] = a[id[i]]; f(); } while (next_permutation(id, id + 3)); cnt = 2; for (int i = 0; i < 3; ++i) id[i] = i; do { for (int i = 0; i < 3; ++i) b[i] = a[id[i]]; g(); } while (next_permutation(id, id + 3)); for (int i = 0; i < 12; ++i) hehe[i].x = neg[i], hehe[i].y = ans[i], hehe[i].id = i; sort(hehe, hehe + 12); cout << fuck[hehe[0].id] << endl; return 0; }
#include <bits/stdc++.h> using namespace std; double gen(double x, double y, double z) { return log(log(x)) + z * log(y); } double gen(double x, double y) { return log(log(x)) + log(y); } vector<pair<double, string> > genall(double x, double y, double z) { vector<pair<double, string> > r; if (x > 1.) { r.push_back(pair<double, string>(gen(x, y, z), "x^y^z")); r.push_back(pair<double, string>(gen(x, z, y), "x^z^y")); r.push_back(pair<double, string>(gen(x, y * z), "(x^y)^z")); } if (y > 1.) { r.push_back(pair<double, string>(gen(y, x, z), "y^x^z")); r.push_back(pair<double, string>(gen(y, z, x), "y^z^x")); r.push_back(pair<double, string>(gen(y, x * z), "(y^x)^z")); } if (z > 1.) { r.push_back(pair<double, string>(gen(z, x, y), "z^x^y")); r.push_back(pair<double, string>(gen(z, y, x), "z^y^x")); r.push_back(pair<double, string>(gen(z, x * y), "(z^x)^y")); } return r; } int main() { double x, y, z; cin >> x >> y >> z; if (x <= 1. && y <= 1. && z <= 1.) { vector<pair<double, string> > r; if (x == 1.) { cout << "x^y^z" << endl; return 0; } if (y == 1.) { cout << "y^x^z" << endl; return 0; } if (z == 1.) { cout << "z^x^y" << endl; return 0; } auto v1 = genall(1. / x, y, z); auto v2 = genall(x, 1. / y, z); auto v3 = genall(x, y, 1. / z); r.insert(r.end(), v1.begin(), v1.end()); r.insert(r.end(), v2.begin(), v2.end()); r.insert(r.end(), v3.begin(), v3.end()); auto it = min_element(r.begin(), r.end(), [](pair<double, string> lhs, pair<double, string> rhs) { return lhs.first < rhs.first; }); cout << it->second << endl; } else { auto v = genall(x, y, z); auto it = max_element(v.begin(), v.end(), [](pair<double, string> lhs, pair<double, string> rhs) { return lhs.first < rhs.first; }); cout << it->second << endl; } return 0; }
#include <bits/stdc++.h> using namespace std; const long double EPS = 1e-9; string ans[] = {"x^y^z", "x^z^y", "(x^y)^z", "(x^z)^y", "y^x^z", "y^z^x", "(y^x)^z", "(y^z)^x", "z^x^y", "z^y^x", "(z^x)^y", "(z^y)^x"}; long double x, y, z; void solve() { cin >> x >> y >> z; int index = 0; if (max(x, max(y, z)) < 1.0 + EPS) { long double maxi = powl(x, powl(y, z)); if (powl(x, powl(z, y)) > maxi + EPS) { maxi = powl(x, powl(z, y)); index = 1; } if (powl(x, y * z) > maxi + EPS) { maxi = powl(x, y * z); index = 2; } if (powl(y, powl(x, z)) > maxi + EPS) { maxi = powl(y, powl(x, z)); index = 4; } if (powl(y, powl(z, x)) > maxi + EPS) { maxi = powl(y, powl(z, x)); index = 5; } if (powl(y, x * z) > maxi + EPS) { maxi = powl(y, x * z); index = 6; } if (powl(z, powl(x, y)) > maxi + EPS) { maxi = powl(z, powl(x, y)); index = 8; } if (powl(z, powl(y, x)) > maxi + EPS) { maxi = powl(z, powl(y, x)); index = 9; } if (powl(z, x * y) > maxi + EPS) { index = 10; } } else { long double maxi = (x > 1.0 - EPS) ? z * logl(y) + logl(logl(x)) : -1e18; if (x > 1.0 - EPS && y * logl(z) + logl(logl(x)) > maxi + EPS) { maxi = y * logl(z) + logl(logl(x)); index = 1; } if (x > 1.0 - EPS && logl(y * z) + logl(logl(x)) > maxi + EPS) { maxi = logl(y * z) + logl(logl(x)); index = 2; } if (y > 1.0 - EPS && z * logl(x) + logl(logl(y)) > maxi + EPS) { maxi = z * logl(x) + logl(logl(y)); index = 4; } if (y > 1.0 - EPS && x * logl(z) + logl(logl(y)) > maxi + EPS) { maxi = x * logl(z) + logl(logl(y)); index = 5; } if (y > 1.0 - EPS && logl(x * z) + logl(logl(y)) > maxi + EPS) { maxi = logl(x * z) + logl(logl(y)); index = 6; } if (z > 1.0 - EPS && y * logl(x) + logl(logl(z)) > maxi + EPS) { maxi = y * logl(x) + logl(logl(z)); index = 8; } if (z > 1.0 - EPS && x * logl(y) + logl(logl(z)) > maxi + EPS) { maxi = x * logl(y) + logl(logl(z)); index = 9; } if (z > 1.0 - EPS && logl(x * y) + logl(logl(z)) > maxi + EPS) { index = 10; } } cout << ans[index] << endl; } int main() { solve(); return 0; }
#include <bits/stdc++.h> using namespace std; const char s[12][10] = {"x^y^z", "x^z^y", "(x^y)^z", "(x^z)^y", "y^x^z", "y^z^x", "(y^x)^z", "(y^z)^x", "z^x^y", "z^y^x", "(z^x)^y", "(z^y)^x"}; int main() { long double a[12]; long double x, y, z; while (cin >> x >> y >> z) { a[0] = pow(y, z) * log(x); a[1] = pow(z, y) * log(x); a[2] = a[3] = y * z * log(x); a[4] = pow(x, z) * log(y); a[5] = pow(z, x) * log(y); a[6] = a[7] = x * z * log(y); a[8] = pow(x, y) * log(z); a[9] = pow(y, x) * log(z); a[10] = a[11] = x * y * log(z); int pos = 0; for (int i = 1; i < 12; i++) if (a[i] > a[pos]) pos = i; printf("%s\n", s[pos]); } return 0; }
#include <bits/stdc++.h> using namespace std; char ch[10][10] = {{"x^y^z"}, {"x^z^y"}, {"(x^y)^z"}, {"y^x^z"}, {"y^z^x"}, {"(y^x)^z"}, {"z^x^y"}, {"z^y^x"}, {"(z^x)^y"}}; long double a, b, c, maxn; int maxi; inline long double power(long double a, long double b) { return log(a) * b; } int main() { cin >> a >> b >> c; maxn = power(a, pow(b, c)), maxi = 0; if (power(a, pow(c, b)) > maxn) maxn = power(a, pow(c, b)), maxi = 1; if (power(a, b * c) > maxn) maxn = power(a, b * c), maxi = 2; if (power(b, pow(a, c)) > maxn) maxn = power(b, pow(a, c)), maxi = 3; if (power(b, pow(c, a)) > maxn) maxn = power(b, pow(c, a)), maxi = 4; if (power(b, a * c) > maxn) maxn = power(b, a * c), maxi = 5; if (power(c, pow(a, b)) > maxn) maxn = power(c, pow(a, b)), maxi = 6; if (power(c, pow(b, a)) > maxn) maxn = power(c, pow(b, a)), maxi = 7; if (power(c, a * b) > maxn) maxn = power(c, a * b), maxi = 8; printf("%s", ch[maxi]); }
#include <bits/stdc++.h> using namespace std; double x, y, z, ans; int t; void MAX1(double x, double y, double z, int w) { if (pow(x, pow(y, z)) > ans + 1e-9) { ans = pow(x, pow(y, z)); t = w; } } void MAX3(double x, double y, double z, int w) { if (pow(pow(x, y), z) > ans + 1e-9) { ans = pow(pow(x, y), z); t = w; } } void MAX2(double a, double b, double c, int w) { if (a > 0.95) if (log(log(a)) + c * log(b) > ans + 1e-9) { ans = log(log(a)) + c * log(b); t = w; } } void MAX4(double a, double b, double c, int w) { if (a > 0.95) if (log(c) + log(b * log(a)) > ans + 1e-9) { ans = log(c) + log(b * log(a)); t = w; } } int main() { scanf("%lf %lf %lf", &x, &y, &z); ans = -1000000000000.0; if (x < 1.1 && y < 1.1 && z < 1.1) { MAX1(x, y, z, 1); MAX1(x, z, y, 2); MAX3(x, y, z, 3); MAX3(x, z, y, 4); MAX1(y, x, z, 5); MAX1(y, z, x, 6); MAX3(y, x, z, 7); MAX3(y, z, x, 8); MAX1(z, x, y, 9); MAX1(z, y, x, 10); MAX3(z, x, y, 11); MAX3(z, y, x, 12); } else { MAX2(x, y, z, 1); MAX2(x, z, y, 2); MAX4(x, y, z, 3); MAX4(x, z, y, 4); MAX2(y, x, z, 5); MAX2(y, z, x, 6); MAX4(y, x, z, 7); MAX4(y, z, x, 8); MAX2(z, x, y, 9); MAX2(z, y, x, 10); MAX4(z, x, y, 11); MAX4(z, y, x, 12); } if (t == 1) printf("x^y^z\n"); if (t == 2) printf("x^z^y\n"); if (t == 3) printf("(x^y)^z\n"); if (t == 4) printf("(x^z)^y\n"); if (t == 5) printf("y^x^z\n"); if (t == 6) printf("y^z^x\n"); if (t == 7) printf("(y^x)^z\n"); if (t == 8) printf("(y^z)^x\n"); if (t == 9) printf("z^x^y\n"); if (t == 10) printf("z^y^x\n"); if (t == 11) printf("(z^x)^y\n"); if (t == 12) printf("(z^y)^x\n"); return 0; }
#include <bits/stdc++.h> using namespace std; template <class A, class B> inline bool mina(A &first, B second) { return (first > second) ? (first = second, 1) : 0; } template <class A, class B> inline bool maxa(A &first, B second) { return (first < second) ? (first = second, 1) : 0; } const double EPS = 1e-6; map<char, double> values; bool is_one(double first) { return first > 0.95 && first < 1.05; } class Info { public: int type; char a, b, c; Info() {} Info(char p, char q, char r, int t) { a = p, b = q, c = r, type = t; } void print() { if (type == 0) { printf("%c^%c^%c", a, b, c); } else { printf("(%c^%c)^%c", a, b, c); } } double value() { double first = values[a]; double second = values[b]; double z = values[c]; double res = 0; double lgx = log(first); if (first > 1.05) { res = 1e10; if (type == 0) { res += z * log(second) + log(lgx); } else { res += log(second * z) + log(lgx); } } else { if (type == 0) { res += -(z * log(second) + log(-lgx)); } else { res += -(log(second * z) + log(-lgx)); } } return res; } bool operator<(Info &o) { double first = values[a]; double x2 = values[o.a]; if (is_one(first) && is_one(x2)) { return false; } else if (is_one(first)) { if (x2 > 1.05) { return true; } else { return false; } } else if (is_one(x2)) { if (first > 1.05) { return false; } else { return true; } } else { return value() < o.value() - EPS; } } }; vector<Info> forms; int main() { double a; cin >> a; values['x'] = a; cin >> a; values['y'] = a; cin >> a; values['z'] = a; forms.push_back(Info('x', 'y', 'z', 0)); forms.push_back(Info('x', 'z', 'y', 0)); forms.push_back(Info('x', 'y', 'z', 1)); forms.push_back(Info('y', 'x', 'z', 0)); forms.push_back(Info('y', 'z', 'x', 0)); forms.push_back(Info('y', 'x', 'z', 1)); forms.push_back(Info('z', 'x', 'y', 0)); forms.push_back(Info('z', 'y', 'x', 0)); forms.push_back(Info('z', 'x', 'y', 1)); int pick = 0; for (int i = 1; i < ((int)(forms).size()); i++) { if (forms[pick] < forms[i]) { pick = i; } } forms[pick].print(); cout << endl; return 0; }
#include <bits/stdc++.h> using namespace std; void imprimirVector(vector<long long> v) { if (!v.empty()) { int p = v.size(); cout << "["; for (int i = 0; i < (int)(p - 1); i++) cout << v[i] << ","; cout << v[p - 1] << "]" << endl; } else cout << "[]" << endl; } long long toNumber(string s) { long long Number; if (!(istringstream(s) >> Number)) Number = 0; return Number; } string toString(long long number) { ostringstream ostr; ostr << number; return ostr.str(); } int main() { long double x, y, z; while (cin >> x >> y >> z) { vector<string> a = {"x^y^z", "x^z^y", "(x^y)^z", "(x^z)^y", "y^x^z", "y^z^x", "(y^x)^z", "(y^z)^x", "z^x^y", "z^y^x", "(z^x)^y", "z^(y^x)"}; vector<long double> ad = { pow(y, z) * log(x), pow(z, y) * log(x), z * y * log(x), y * z * log(x), pow(x, z) * log(y), pow(z, x) * log(y), x * z * log(y), z * x * log(y), pow(x, y) * log(z), pow(y, x) * log(z), x * y * log(z), y * x * log(z)}; long double maxi = -9999999999999999.0, maxiInd = -1; for (int i = 0; i < (int)(12); i++) if (ad[i] > maxi) { maxiInd = i; maxi = ad[i]; } cout << a[maxiInd] << endl; } return 0; }
#include <bits/stdc++.h> using namespace std; const long double eps = 1e-9; const char s[12][15] = {"x^y^z", "x^z^y", "(x^y)^z", "(x^z)^y", "y^x^z", "y^z^x", "(y^x)^z", "(y^z)^x", "z^x^y", "z^y^x", "(z^x)^y", "(z^y)^x"}; long double t[12], r[12]; int main() { double tx, ty, tz; scanf("%lf%lf%lf", &tx, &ty, &tz); long double x = tx, y = ty, z = tz; t[0] = z * log(y); t[1] = y * log(z); t[2] = t[3] = log(y) + log(z); t[4] = z * log(x); t[5] = x * log(z); t[6] = t[7] = log(x) + log(z); t[8] = y * log(x); t[9] = x * log(y); t[10] = t[11] = log(x) + log(y); r[0] = r[1] = r[2] = r[3] = log(x); r[4] = r[5] = r[6] = r[7] = log(y); r[8] = r[9] = r[10] = r[11] = log(z); bool flag = 0; for (int i = 0; i < 12; i++) flag |= (r[i] > 0); int loc = 11; if (!flag) { for (int i = 0; i < 12; i++) r[i] = -r[i]; for (int i = 11; i >= 0; i--) if (r[i] == 0 || t[i] + log(r[i]) < t[loc] + log(r[loc]) + eps) loc = i; } else { for (int i = 11; i >= 0; i--) if (r[i] > 0) { loc = i; break; } for (int i = 11; i >= 0; i--) if (r[i] > 0 && t[i] + log(r[i]) > t[loc] + log(r[loc]) - eps) loc = i; } printf("%s", s[loc]); return 0; }
#include <bits/stdc++.h> using namespace std; const int MaxN = int(2e6) + 256; const int INF = int(1e9); const int mod = (int)(1e9) + 7; const double pi = 3.1415926535897932384626433832795; const double eps = (1e-16); long long n, m, t, ans, a[MaxN]; long double x, y, z; pair<long double, pair<int, string> > p[40]; bool cmp(pair<long double, pair<int, string> > a, pair<long double, pair<int, string> > b) { if (fabs(a.first - b.first) < eps) { if (a.second.first < b.second.first) return 1; return 0; } if (a.first > b.first) return 1; return 0; } int main() { ios_base::sync_with_stdio(false); cin.tie(0); cin >> x >> y >> z; p[1] = make_pair(log(x) * pow(y, z), make_pair(1, "x^y^z")); p[2] = make_pair(log(x) * pow(z, y), make_pair(2, "x^z^y")); p[3] = make_pair(log(x) * y * z, make_pair(3, "(x^y)^z")); p[4] = make_pair(log(x) * z * y, make_pair(4, "(x^z)^y")); p[5] = make_pair(log(y) * pow(x, z), make_pair(5, "y^x^z")); p[6] = make_pair(log(y) * pow(z, x), make_pair(6, "y^z^x")); p[7] = make_pair(log(y) * x * z, make_pair(7, "(y^x)^z")); p[8] = make_pair(log(y) * z * x, make_pair(8, "(y^z)^x")); p[9] = make_pair(log(z) * pow(x, y), make_pair(9, "z^x^y")); p[10] = make_pair(log(z) * pow(y, x), make_pair(10, "z^y^x")); p[11] = make_pair(log(z) * x * y, make_pair(11, "(z^x)^y")); p[12] = make_pair(log(z) * y * x, make_pair(12, "(z^y)^x")); sort(p + 1, p + 13, cmp); cout << p[1].second.second; return 0; }
#include <bits/stdc++.h> using namespace std; const string out[] = {"x^y^z", "x^z^y", "(x^y)^z", "y^x^z", "y^z^x", "(y^x)^z", "z^x^y", "z^y^x", "(z^x)^y"}; int main() { long double a, b, c; pair<long double, int> ans[12]; cin >> a >> b >> c; ans[0] = make_pair(-log(a) * pow(b, c), 0); ans[1] = make_pair(-log(a) * pow(c, b), 1); ans[2] = make_pair(-log(a) * b * c, 2); ans[3] = make_pair(-log(b) * pow(a, c), 3); ans[4] = make_pair(-log(b) * pow(c, a), 4); ans[5] = make_pair(-log(b) * a * c, 5); ans[6] = make_pair(-log(c) * pow(a, b), 6); ans[7] = make_pair(-log(c) * pow(b, a), 7); ans[8] = make_pair(-log(c) * a * b, 8); sort(ans, ans + 9); cout << out[ans[0].second] << endl; return 0; return 0; }
#include <bits/stdc++.h> using namespace std; template <typename T> std::ostream &operator<<(std::ostream &out, vector<T> &v) { for (typename vector<T>::size_type i = 0; i < v.size(); ++i) out << v[i] << " "; out << "\n"; return out; } template <typename T> std::ostream &operator<<(std::ostream &out, set<T> &s) { for (auto e : s) out << e << " "; out << "\n"; return out; } template <typename T, typename N> std::ostream &operator<<(std::ostream &out, pair<T, N> &p) { out << "(" << p.first << ", " << p.second << ") "; return out; } template <typename T, typename N> std::ostream &operator<<(std::ostream &out, vector<pair<T, N> > &v) { for (size_t i = 0; i < v.size(); ++i) cout << v[i]; out << "\n"; return out; } template <typename T> std::ostream &operator<<(std::ostream &out, vector<vector<T> > &v) { for (size_t i = 0; i < v.size(); ++i) { for (size_t j = 0; j < v[i].size(); ++j) { out << v[i][j] << " "; } out << "\n"; } return out; } template <typename T> std::ostream &operator<<(std::ostream &out, vector<set<T> > &v) { for (size_t i = 0; i < v.size(); ++i) { out << v[i]; } out << "\n"; return out; } void solve() { int n, k; cin >> n >> k; int a, b, c, d; cin >> a >> b >> c >> d; if (n == 4 || k < n + 1) { cout << "-1\n"; return; } cout << a << " " << c << " "; vector<int> middle_vertices; for (int i = 1; i <= n; ++i) { if (i != a && i != b && i != c && i != d) { cout << i << " "; } } cout << d << " " << b << "\n"; cout << c << " " << a << " "; for (int i = 1; i <= n; ++i) { if (i != a && i != b && i != c && i != d) { cout << i << " "; } } cout << b << " " << d << "\n"; return; } int main() { std::ios::sync_with_stdio(false); cin.tie(0); cout.tie(0); int t; t = 1; while (t--) { solve(); } return 0; }
#include <bits/stdc++.h> using namespace std; long long int n, k, a, b, c, d, p; int main() { ios::sync_with_stdio(false); cin >> n >> k; cin >> a >> b >> c >> d; p = (n * (n - 1)) / 2; p -= 2; if (n == 4) { cout << -1; return 0; } if (k < n + 1) { cout << -1; return 0; } if (k > p) { cout << -1; return 0; } cout << a << " " << c << " "; for (int i = 1; i <= n; i++) { if (i != a && i != b && i != c && i != d) cout << i << " "; } cout << d << " " << b << endl; cout << c << " " << a << " "; for (int i = 1; i <= n; i++) { if (i != a && i != b && i != c && i != d) cout << i << " "; } cout << b << " " << d << endl; return 0; }
#include <bits/stdc++.h> using namespace std; const int INF = 1000000000; const int MOD = 1000000007; signed main() { cin.tie(0), cout.tie(0); ios::sync_with_stdio(0); int n, k; cin >> n >> k; int a, b, c, d; cin >> a >> b >> c >> d; if (k < n + 1 || n <= 4) cout << -1 << '\n', exit(0); else { cout << a << ' ' << c << ' '; for (int i = 1; i <= n; i++) if (i != a && i != b && i != c && i != d) cout << i << ' '; cout << d << ' ' << b << '\n'; cout << c << ' ' << a << ' '; for (int i = 1; i <= n; i++) if (i != a && i != b && i != c && i != d) cout << i << ' '; cout << b << ' ' << d << '\n'; } return 0; }
#include <bits/stdc++.h> int p[1010]; int select(int v, int n) { for (int i = 1; i <= n; ++i) { if (p[i] == v) return i; } return -1; } int main() { int n, k; int s1, e1, s2, e2; while (~scanf("%d%d", &n, &k)) { scanf("%d%d%d%d", &s1, &e1, &s2, &e2); if (n < 5 || k < n + 1) { puts("-1"); continue; } for (int i = 1; i <= n; ++i) { p[i] = i; } if (e1 != 1) { std::swap(p[1], p[s1]); std::swap(p[n], p[e1]); } else { std::swap(p[n], p[e1]); std::swap(p[1], p[s1]); } int pc = select(s2, n); std::swap(p[2], p[pc]); int pd = select(e2, n); std::swap(p[n - 1], p[pd]); for (int i = 1; i <= n; ++i) { if (i > 1) printf(" "); printf("%d", p[i]); } printf("\n"); printf("%d ", p[2]); for (int i = 1; i <= n; ++i) { if (i != 2 && i != n - 1) printf("%d ", p[i]); } printf("%d\n", p[n - 1]); } return 0; }
#include <bits/stdc++.h> using namespace std; int n, k, a, b, c, d, v[1010]; void init() { scanf("%d%d", &n, &k); scanf("%d%d%d%d", &a, &b, &c, &d); } void solve() { if (k < n + 1 || n <= 4) { printf("-1\n"); return; } for (int i = 3, j = 1; i <= n - 2; i++, j++) { if (j != a && j != b && j != c && j != d) v[i] = j; else i--; } v[1] = a; v[2] = c; v[n - 1] = d; v[n] = b; for (int i = 1; i <= n; i++) printf("%d ", v[i]); printf("\n"); printf("%d %d ", v[2], v[1]); for (int i = 3; i <= n - 2; i++) printf("%d ", v[i]); printf("%d %d\n", v[n], v[n - 1]); } int main() { init(); solve(); return 0; }
#include <bits/stdc++.h> const long long MOD = 1E9 + 7; const long long N = 1e3 + 15; const int maxn = 5e5 + 15; const int letter = 130; const int INF = 1e17; const double pi = acos(-1.0); const double eps = 1e-10; using namespace std; inline int read() { int x = 0, f = 1; char ch = getchar(); while (ch < '0' || ch > '9') { if (ch == '-') f = -1; ch = getchar(); } while (ch >= '0' && ch <= '9') { x = x * 10 + ch - '0'; ch = getchar(); } return x * f; } int n, k, p[N]; int a, b, c, d; int main() { scanf("%d%d", &n, &k); scanf("%d%d%d%d", &a, &b, &c, &d); p[a] = p[b] = p[c] = p[d] = 1; if (n < 5 || k < n + 1) { puts("-1"); return 0; } if (n == 5) { for (int i = 1; i <= n; i++) { if (!p[i]) { printf("%d %d %d %d %d\n", a, c, i, d, b); printf("%d %d %d %d %d\n", c, a, i, b, d); return 0; } } } printf("%d %d ", a, c); for (int i = 1; i <= n; i++) { if (!p[i]) printf("%d ", i); } printf("%d %d\n", d, b); printf("%d %d ", c, a); for (int i = 1; i <= n; i++) { if (!p[i]) printf("%d ", i); } printf("%d %d\n", b, d); return 0; }
#include <bits/stdc++.h> using namespace std; int n, a, b, c, d; void print() { set<int> s; s.clear(); for (int i = 1; i <= n; i++) s.insert(i); s.erase(a); s.erase(b); s.erase(c); s.erase(d); for (int i : s) { cout << i << " "; } } int main() { int k; cin >> n >> k; cin >> a >> b >> c >> d; if (n == 4) { cout << -1; return 0; } if (k <= n) { cout << -1; return 0; } cout << a << " " << c << " "; print(); cout << d << " " << b << endl; cout << c << " " << a << " "; print(); cout << b << " " << d << endl; }
#include <bits/stdc++.h> using namespace std; int n, k; int a, b, c, d; int s[1010]; int main() { cin >> n >> k; cin >> a >> b >> c >> d; s[a] = 1; s[b] = 1; s[c] = 1; s[d] = 1; if (n == 4) cout << -1; else { if (k < n + 1) cout << -1; else { cout << a << " " << c << " "; for (int i = 1; i <= n; i++) if (s[i] == 0) cout << i << " "; cout << d << " " << b << "\n"; cout << c << " " << a << " "; for (int i = 1; i <= n; i++) if (s[i] == 0) cout << i << " "; cout << b << " " << d << "\n"; } } }
#include <bits/stdc++.h> using namespace std; int n, m; int a, b, c, d; vector<int> w; int main() { scanf("%d%d", &n, &m); scanf("%d%d%d%d", &a, &b, &c, &d); if (n == 4 || m == n - 1 || m == n) { printf("-1\n"); return 0; } for (int i = 1; i <= n; i++) { if (i == a || i == b || i == c || i == d) continue; w.push_back(i); } printf("%d %d ", a, c); for (int x : w) printf("%d ", x); printf("%d %d\n", d, b); printf("%d %d ", c, a); for (int x : w) printf("%d ", x); printf("%d %d\n", b, d); return 0; }
#include <bits/stdc++.h> using namespace std; int main() { int n, k, a, b, c, d, vis[1001]; cin >> n >> k; cin >> a >> b >> c >> d; memset(vis, 0, sizeof(vis)); if (n == 4 || k < n + 1) { cout << "-1"; } else { vector<int> g1, g2; g1.push_back(a); g1.push_back(c); g2.push_back(c); g2.push_back(a); vis[a] = vis[c] = 1; for (int i = 1; i <= n; i++) { if (vis[i] == 0 && i != b && i != d) { g1.push_back(i); g2.push_back(i); vis[i] = 1; } } g1.push_back(d); g1.push_back(b); g2.push_back(b); g2.push_back(d); for (int i = 0; i < n; i++) { cout << g1[i] << " "; } cout << endl; for (int i = 0; i < n; i++) { cout << g2[i] << " "; } cout << endl; } return 0; }
#include <bits/stdc++.h> using namespace std; int main() { int N, K, a, b, c, d; cin >> N >> K >> a >> b >> c >> d; if (K < N + 1 || N == 4) { cout << -1 << endl; return 0; } set<int> Set; for (int i = 0; i < N; ++i) { Set.insert(i + 1); } Set.erase(a); Set.erase(b); Set.erase(c); Set.erase(d); cout << a << ' ' << c << ' '; for (auto elem : Set) { cout << elem << ' '; } cout << d << ' ' << b << endl; cout << c << ' ' << a << ' '; for (auto elem : Set) { cout << elem << ' '; } cout << b << ' ' << d << endl; }
#include <bits/stdc++.h> using namespace std; int p1[2000]; int p2[2000]; set<int> ss; int main() { int n, k; cin >> n >> k; int a, b, c, d; cin >> a >> b >> c >> d; if (n == 4 || k <= n) { cout << -1; return 0; } for (int i = 1; i <= n; i++) { if (i == a || i == b || i == c || i == d) continue; ss.insert(i); } p1[a] = c; p1[c] = *ss.begin(); set<int>::iterator it; set<int>::iterator it0; set<int>::iterator it1; it = ss.begin(); it0 = ss.begin(); it++; for (; it != ss.end(); it++) { p1[*it0] = *it; it0++; } it1 = ss.end(); it1--; p1[*it1] = d; p1[d] = b; p2[c] = a; p2[a] = *ss.begin(); it = ss.begin(); it0 = ss.begin(); it++; for (; it != ss.end(); it++) { p2[*it0] = *it; it0++; } it1 = ss.end(); it1--; p2[*it1] = b; p2[b] = d; int x = a; printf("%d ", x); while (x != b) { x = p1[x]; printf("%d ", x); } cout << endl; x = c; printf("%d ", x); while (x != d) { x = p2[x]; printf("%d ", x); } return 0; }
#include <bits/stdc++.h> int main() { int n, k; scanf("%d%d", &n, &k); int a, b, c, d; scanf("%d%d%d%d", &a, &b, &c, &d); if ((k < n + 1) || (n == 4)) { printf("-1\n"); } else { printf("%d %d ", a, c); for (int i = 1; i <= n; i++) { if ((i != a) && (i != b) && (i != c) && (i != d)) { printf("%d ", i); } } printf("%d %d\n", d, b); printf("%d %d ", c, a); for (int i = 1; i <= n; i++) { if ((i != a) && (i != b) && (i != c) && (i != d)) { printf("%d ", i); } } printf("%d %d\n", b, d); } return 0; }
#include <bits/stdc++.h> using namespace std; int main() { int n, k; scanf("%d %d", &n, &k); int a, b, c, d; scanf("%d %d %d %d", &a, &b, &c, &d); if (k == n - 1) { printf("-1"); return 0; } if (k == n) { printf("-1"); return 0; } if (n == 4) { printf("-1"); return 0; } int ans[n]; ans[0] = a; ans[1] = c; ans[n - 1] = b; ans[n - 2] = d; int j = 2; for (int i = 1; i <= n; i++) { if (i == a || i == b || i == c || i == d) continue; ans[j] = i; j++; } for (int i = 0; i < n; i++) printf("%d ", ans[i]); printf("\n"); printf("%d ", ans[1]); printf("%d ", ans[0]); for (int i = 2; i < n - 2; i++) printf("%d ", ans[i]); printf("%d ", ans[n - 1]); printf("%d ", ans[n - 2]); return 0; }
#include <bits/stdc++.h> using namespace std; const int MOD = 1e9 + 7; const int maxn = 222222; int n, k; int a, b, c, d; int main(int argc, char const *argv[]) { scanf("%d%d", &(n), &(k)); scanf("%d%d", &(a), &(b)); scanf("%d%d", &(c), &(d)); if (n == 4 || k < n + 1) { puts("-1"); return 0; } vector<int> v; for (int i = 1; i <= n; ++i) { if (i != a && i != b && i != c && i != d) { v.push_back(i); } } printf("%d %d ", a, c); for (int(i) = 0; i < (int)(((int)(v).size())); ++(i)) printf("%d ", v[i]); printf("%d %d\n", d, b); printf("%d %d ", c, a); for (int(i) = 0; i < (int)(((int)(v).size())); ++(i)) printf("%d ", v[i]); printf("%d %d\n", b, d); return 0; }
#include <bits/stdc++.h> using namespace std; int n, m, A, B, C, D, N; int main() { cin >> n >> m >> A >> B >> C >> D; N = n - 4; if (n > 4) { if (m < 6 + N - 1) { puts("-1"); exit(0); } else { cout << A << " " << C << " "; for (int i = 1; i <= n; ++i) { if (i != A && i != B && i != C && i != D) { cout << i << " "; } } cout << D << " " << B << "\n"; cout << C << " " << A << " "; for (int i = 1; i <= n; ++i) { if (i != A && i != B && i != C && i != D) { cout << i << " "; } } cout << B << " " << D << "\n"; } } else { puts("-1"); exit(0); } return 0; }
#include <bits/stdc++.h> using namespace std; int main() { int n, k, a, b, c, d; cin >> n >> k; cin >> a >> b >> c >> d; if (n == 4 || k < n + 1) cout << -1 << endl; else { cout << a << " " << c << " "; for (int i = (1); i < (n + 1); i++) { if (i == a || i == b || i == c || i == d) continue; else cout << i << " "; } cout << d << " " << b << endl; cout << c << " " << a << " "; for (int i = (1); i < (n + 1); i++) { if (i == a || i == b || i == c || i == d) continue; else cout << i << " "; } cout << b << " " << d << endl; } return 0; }
#include <bits/stdc++.h> using namespace std; long long mod = 1e9 + 7; void solve() { long long n, k; cin >> n >> k; long long a, b, c, d; cin >> a >> b >> c >> d; if (n == 4) { cout << -1; return; } if (n > 4 && k < n + 1) { cout << -1; return; } cout << a << " " << c << " "; for (long long i = 1; i < 1 + n; i++) { if (i != a && i != b && i != c && i != d) cout << i << " "; } cout << d << " " << b << endl; cout << c << " " << a << " "; for (long long i = 1; i < 1 + n; i++) { if (i != a && i != b && i != c && i != d) cout << i << " "; } cout << b << " " << d; } int main() { ios_base::sync_with_stdio(false); cin.tie(NULL); long long t = 1; while (t--) { solve(); } }
#include <bits/stdc++.h> using namespace std; int main() { int n, k, a, b, c, d; cin >> n >> k; int vis[n + 1]; memset(vis, 0, sizeof(vis)); cin >> a >> b >> c >> d; vis[a]++; vis[b]++; vis[c]++; vis[d]++; if (k <= n || n == 4) cout << "-1\n"; else { int temp = n - 4; cout << a << " " << c << " "; int x = 1; while (temp) { if (!vis[x]) { cout << x << " "; temp--; } x++; } cout << d << " " << b << "\n"; temp = n - 4; cout << c << " " << a << " "; x = 1; while (temp) { if (!vis[x]) { cout << x << " "; temp--; } x++; } cout << b << " " << d << "\n"; } return 0; }
#include <bits/stdc++.h> using namespace std; const int MAXN = 5005; int n, k; vector<int> res; int a, b, c, d; bool used[MAXN]; int main() { cin >> n >> k; cin >> a >> b >> c >> d; a--; b--; c--; d--; if (k <= n || n == 4) { cout << -1; return 0; } res.resize(n); res[n - 1] = b; res[0] = a; res[n - 2] = d; res[1] = c; used[a] = used[b] = used[c] = used[d] = true; int ptr = 2; for (int i = 0; i < (int)(n); ++i) { if (!used[i]) res[ptr++] = i; } for (int i = 0; i < (int)(n); ++i) cout << res[i] + 1 << ' '; cout << '\n'; swap(res[0], res[1]); swap(res[n - 1], res[n - 2]); for (int i = 0; i < (int)(n); ++i) cout << res[i] + 1 << ' '; cin >> n; return 0; }
#include <bits/stdc++.h> using namespace std; int main() { long long n, m; cin >> n >> m; long long a, b, c, d; cin >> a >> b >> c >> d; if (n == 4) { cout << -1; return 0; } if (n >= m) { cout << -1; return 0; } long long i; cout << a << " " << c << " "; for (i = 1; i <= n; i++) { if (i != a && i != b && i != c && i != d) cout << i << " "; } cout << d << " " << b << endl; cout << c << " " << a << " "; for (i = 1; i <= n; i++) { if (i != a && i != b && i != c && i != d) cout << i << " "; } cout << b << " " << d << endl; return 0; }
#include <bits/stdc++.h> using namespace std; long long gcd(long long a, long long b) { if (b == 0) return a; return gcd(b, a % b); } long long lim = 1e5 + 5; long long mod = 1e9 + 7; void solve() { long long n, k; cin >> n >> k; long long a, b, c, d; cin >> a >> b >> c >> d; if (n == 4 || k < n + 1) { cout << -1 << endl; return; } cout << a << " " << c << " "; vector<long long> v; for (long long i = 1; i < (long long)n + 1; i++) { if (v.size() == 1) { cout << d << " "; v.push_back(d); i--; } else if (i != a && i != b && i != c && i != d) { cout << i << " "; v.push_back(i); } } if (v.size() == 1) { cout << d << " "; v.push_back(d); } cout << b << " "; v.push_back(b); cout << "\n"; ; cout << c << " " << a << " " << v[0] << " "; reverse(v.begin(), v.end()); for (long long i = 0; i < (long long)v.size() - 1; i++) { cout << v[i] << " "; } } int main() { ios_base::sync_with_stdio(false); cin.tie(0); cout.tie(0); ; long long test = 1; while (test--) solve(); }
#include <bits/stdc++.h> using namespace std; int main() { int n, k; int a, b, c, d; cin >> n >> k; cin >> a >> b >> c >> d; if (n == 4 || k < n + 1) { cout << -1 << endl; return 0; } vector<int> l{a, c}, r{b}; for (int i = 1; i <= n; i++) { if (i != a && i != b && i != c && i != d) r.push_back(i); } r.push_back(d); cout << a << " " << c << " "; for (size_t i = 0; i < r.size(); i++) { cout << r[(i + 1) % r.size()] << " "; } cout << endl; cout << c << " " << a << " "; for (size_t i = 0; i < r.size(); i++) { cout << r[(r.size() - 2 - i + r.size()) % r.size()] << " "; } cout << endl; return 0; }
#include <bits/stdc++.h> using namespace std; int main() { int n, k; cin >> n >> k; if (k <= n || n <= 4) { cout << -1; return 0; } int a, b, c, d; cin >> a >> b >> c >> d; cout << a << " " << c << " "; for (int i = 1; i <= n; i++) { if (i != a && i != b && i != c && i != d) cout << i << " "; } cout << d << " " << b << endl; cout << c << " " << a << " "; for (int i = 1; i <= n; i++) { if (i != a && i != b && i != c && i != d) cout << i << " "; } cout << b << " " << d; }
#include <bits/stdc++.h> using namespace std; void fast() { ios_base::sync_with_stdio(0); cin.tie(0); cout.tie(0); } const long long N = 1e6 + 10; long long dr[4] = {0, 0, 1, -1}; long long dc[4] = {1, -1, 0, 0}; long long ddr[8] = {0, 0, 1, -1, 1, -1, 1, -1}; long long ddc[8] = {1, -1, 0, 0, 1, -1, -1, 1}; long long ddr1[8] = {1, 1, -1, -1, 2, 2, -2, -2}; long long ddc1[8] = {2, -2, 2, -2, 1, -1, 1, -1}; int32_t main() { fast(); long long n, k; cin >> n >> k; long long a, b, c, d; cin >> a >> b >> c >> d; vector<long long> v; v.emplace_back(a); v.emplace_back(c); for (long long i = 1; i < n + 1; i++) { if (i == a || i == b || i == c || i == d) continue; v.emplace_back(i); } v.emplace_back(d); v.emplace_back(b); if (k > n && n > 4) { for (auto i : v) cout << i << " "; cout << "\n"; swap(v[0], v[1]); swap(v[n - 1], v[n - 2]); for (auto i : v) cout << i << " "; cout << "\n"; } else cout << "-1\n"; }
#include <bits/stdc++.h> using namespace std; void itval(istream_iterator<string> it) {} template <typename T, typename... Args> void itval(istream_iterator<string> it, T a, Args... args) { cerr << *it << " = " << a << endl; itval(++it, args...); } const long long int MOD = 1e9 + 7; template <typename T> inline void print(T x) { cout << x << "\n"; } template <typename T> inline void printvec(T x) { for (auto a : x) cout << a << ' '; cout << '\n'; } struct custom { bool operator()(const pair<long long int, long long int> &p1, const pair<long long int, long long int> &p2) const { if (p1.first == p2.first) return p2.second < p1.second; return p1.first < p2.first; } }; long long int get_pow(long long int a, long long int b) { long long int res = 1; while (b) { if (b & 1) res = (res * a) % MOD; a = (a * a) % MOD; b >>= 1; } return res; } const long long int N = 5e5 + 2, inf = 4e18; void solve() { long long int n, k; cin >> n >> k; if (k < n + 1 || n < 5) { cout << -1; exit(0); } long long int a, b, c, d; cin >> a >> b >> c >> d; vector<long long> v(n, -1); v[0] = a; v[1] = c; v[n - 1] = d; v[n - 2] = b; int up = 2; for (long long int i = (long long int)1; i < (long long int)(n + 1); i++) { if (i == a || i == b || i == c || i == d) continue; v[up] = i; up++; } for (long long int i = (long long int)0; i < (long long int)(n - 2); i++) cout << v[i] << ' '; cout << d << ' ' << b << '\n'; cout << v[1] << ' ' << v[0] << ' '; for (long long int i = (long long int)2; i < (long long int)(n); i++) cout << v[i] << ' '; } int main() { ios_base::sync_with_stdio(false); cin.tie(NULL); cout.tie(NULL); int test = 1; clock_t z = clock(); for (long long int tes = (long long int)0; tes < (long long int)(test); tes++) { solve(); } fprintf(stderr, "Total Time:%.4f\n", (double)(clock() - z) / CLOCKS_PER_SEC), fflush(stderr); return 0; }
#include <bits/stdc++.h> using namespace std; int main() { int n, k; cin >> n >> k; int a, b, c, d; cin >> a >> b >> c >> d; if (k < n + 1 || n < 5) { cout << -1; return 0; } vector<int> ans(n); ans[0] = a; ans[n - 1] = b; ans[1] = c; ans[n - 2] = d; int j = 1; unordered_set<int> S{a, b, c, d}; for (int i = 2; i < n - 2; ++i) { while (S.find(j) != S.end()) ++j; ans[i] = j; ++j; } for (int i = 0; i < n; ++i) cout << ans[i] << " "; cout << endl; swap(ans[0], ans[1]); swap(ans[n - 2], ans[n - 1]); for (int i = 0; i < n; ++i) cout << ans[i] << " "; cout << endl; return 0; }
#include <bits/stdc++.h> using namespace std; int ans[10000]; int main() { int n, k, a, b, c, d; cin >> n >> k; cin >> a >> b >> c >> d; if (k <= n || n == 4) { cout << -1; return 0; } for (int i = 0, num = 1; i < n - 4; i++, num++) { while (num == a || num == b || num == c || num == d) num++; ans[i] = num; } cout << a << " " << c << " "; for (int i = 0; i < n - 4; i++) { cout << ans[i] << " "; } cout << d << " " << b << endl; cout << c << " " << a << " "; for (int i = 0; i < n - 4; i++) { cout << ans[i] << " "; } cout << b << " " << d; return 0; }
#include <bits/stdc++.h> using namespace std; using uint = unsigned; using ll = long long; using ull = unsigned long long; using vi = vector<int>; using vvi = vector<vi>; using vl = vector<ll>; using vvl = vector<vl>; using vd = vector<double>; using vvd = vector<vd>; using vs = vector<string>; template <typename T1, typename T2> ostream& operator<<(ostream& os, const pair<T1, T2>& p) { return os << '(' << p.first << ',' << p.second << ')'; } template <typename Tuple> void print_tuple(ostream&, const Tuple&) {} template <typename Car, typename... Cdr, typename Tuple> void print_tuple(ostream& os, const Tuple& t) { print_tuple<Cdr...>(os, t); os << (sizeof...(Cdr) ? "," : "") << get<sizeof...(Cdr)>(t); } template <typename... Args> ostream& operator<<(ostream& os, const tuple<Args...>& t) { print_tuple<Args...>(os << '(', t); return os << ')'; } template <typename Ch, typename Tr, typename C> basic_ostream<Ch, Tr>& operator<<(basic_ostream<Ch, Tr>& os, const C& c) { os << '['; for (auto i = begin(c); i != end(c); ++i) os << (i == begin(c) ? "" : " ") << *i; return os << ']'; } constexpr int INF = 1e9; constexpr int MOD = 1e9 + 7; constexpr double EPS = 1e-9; int main() { for (int n, m, a, b, c, d; cin >> n >> m >> a >> b >> c >> d && n | m;) { if (n == 4) { cout << -1 << endl; } else { if (m < n + 1) { cout << -1 << endl; continue; } vi vs; for (int i = int(0); i < int(n); i++) if (!set<int>{a, b, c, d}.count(i + 1)) vs.push_back(i + 1); cout << a << ' ' << c << ' '; for (int v : vs) cout << v << ' '; cout << d << ' ' << b << endl; cout << c << ' ' << a << ' '; for (int v : vs) cout << v << ' '; cout << b << ' ' << d << endl; } } }
#include <bits/stdc++.h> using namespace std; int main() { int n, k; cin >> n >> k; int a, b, c, d; cin >> a >> b >> c >> d; if (k > n && n > 4 && k >= 6) { vector<int> path; path.push_back(a); path.push_back(c); for (int i = 1; i <= n; i++) { if (i != a && i != b && i != c && i != d) path.push_back(i); } path.push_back(d); path.push_back(b); if (path.size() > k) { cout << -1; exit(0); } for (int i = 0; i < n; i++) { cout << path[i] << ' '; } cout << '\n'; path.clear(); path.push_back(c); path.push_back(a); for (int i = 1; i <= n; i++) { if (i != c && i != d && i != a && i != b) path.push_back(i); } path.push_back(b); path.push_back(d); for (int i = 0; i < n; i++) { cout << path[i] << ' '; } } else cout << -1; return 0; }
#include <bits/stdc++.h> using namespace std; int main() { ios_base::sync_with_stdio(false); cin.tie(0); int n, k; cin >> n >> k; int a, b, c, d; cin >> a >> b >> c >> d; if (k < n + 1 || n == 4) { cout << -1; return 0; } int cur = 1; vector<int> v; while (cur == a || cur == b || cur == c || cur == d) cur++; cout << a << ' ' << c << ' ' << cur << ' ' << d << ' '; cur++; for (; cur <= n; cur++) { while (cur == a || cur == b || cur == c || cur == d) cur++; if (cur > n) break; cout << cur << ' '; v.push_back(cur); } cout << b << '\n'; cur = 1; while (cur == a || cur == b || cur == c || cur == d) cur++; cout << c << ' ' << a << ' ' << cur << ' ' << b << ' '; for (int i = v.size() - 1; i >= 0; i--) { cout << v[i] << ' '; } cout << d << '\n'; }
#include <bits/stdc++.h> using namespace std; template <typename T> T abs(T x) { return x > 0 ? x : -x; } template <typename T> T sqr(T x) { return x * x; } template <typename T> ostream &operator<<(ostream &s, const vector<T> &x) { s << "["; for (auto it : x) { s << it << ", "; } s << "]"; return s; } template <typename T> ostream &operator<<(ostream &s, const set<T> &x) { s << "{"; for (auto it : x) { s << it << ", "; } s << "}"; return s; } template <typename U, typename V> ostream &operator<<(ostream &s, const pair<U, V> &x) { s << "(" << x.first << ", " << x.second << ")"; return s; } template <typename T> bool chmax(T &x, const T &y) { if (x < y) { x = y; return true; } return false; } template <typename T> bool chmin(T &x, const T &y) { if (x > y) { x = y; return true; } return false; } int main() { int n, k; cin >> n >> k; if (n == 4 || k < n + 1) { cout << -1 << "\n"; return 0; } int a, b, c, d; cin >> a >> b >> c >> d; set<int> used = {a, b, c, d}; vector<int> line; for (int i = 1; i <= n; i++) { if (used.count(i) == 0) { line.push_back(i); } } cout << a << " " << c << " "; for (auto x : line) cout << x << " "; cout << d << " " << b << "\n"; cout << c << " " << a << " "; for (auto x : line) cout << x << " "; cout << b << " " << d << "\n"; return 0; }
#include <bits/stdc++.h> using namespace std; const int MAXN = 1e5; int used[MAXN]; int main() { int n, k, a[4]; scanf("%d%d%d%d%d%d", &n, &k, &a[0], &a[1], &a[2], &a[3]); if (n == 4 || k < n + 1) { puts("-1"); return 0; } for (int i = 0; (i) < (4); ++i) a[i]--, used[a[i]] = 1; printf("%d %d ", a[0] + 1, a[2] + 1); for (int i = 0; (i) < (n); ++i) if (!used[i]) printf("%d ", i + 1); printf("%d %d ", a[3] + 1, a[1] + 1); puts(""); printf("%d %d ", a[2] + 1, a[0] + 1); for (int i = 0; (i) < (n); ++i) if (!used[i]) printf("%d ", i + 1); printf("%d %d ", a[1] + 1, a[3] + 1); puts(""); return 0; }
#include <bits/stdc++.h> using namespace std; int main() { int n, k; cin >> n >> k; int a, b, c, d; cin >> a >> b >> c >> d; if (k <= n || n == 4) { cout << -1 << endl; return 0; } vector<int> v; v.push_back(a); v.push_back(c); for (int i = 1; i <= n; ++i) { if (i == a || i == c || i == d || i == b) { continue; } v.push_back(i); } v.push_back(d); v.push_back(b); for (int x : v) { cout << x << " "; } cout << endl; cout << v[1] << " " << v[0] << " " << v[2] << " "; for (int i = 3; i < n - 2; ++i) { cout << v[i] << " "; } cout << v[n - 1] << " " << v[n - 2] << endl; return 0; }
#include <bits/stdc++.h> using namespace std; using ll = long long; const int maxn = 1e3 + 5; bool used[maxn]; int n, k, a, b, c, d; int main() { scanf("%d %d", &n, &k); scanf("%d %d %d %d", &a, &b, &c, &d); if (n <= 4 or k < n + 1) { puts("-1"); return 0; } used[a] = used[b] = used[c] = used[d] = true; vector<int> path = {a, c}; for (int i = 1; i <= n; i++) if (!used[i]) path.emplace_back(i); path.insert(path.end(), {d, b}); for (int i = 0; i < n; i++) printf("%d%c", path[i], " \n"[i + 1 == n]); printf("%d %d ", path[1], path[0]); for (int i = 2; i < n - 2; i++) printf("%d ", path[i]); printf("%d %d\n", path[n - 1], path[n - 2]); return 0; }
#include <bits/stdc++.h> using namespace std; template <typename T> std::ostream &operator<<(std::ostream &out, vector<T> &v) { for (typename vector<T>::size_type i = 0; i < v.size(); ++i) out << v[i] << " "; out << "\n"; return out; } template <typename T> std::ostream &operator<<(std::ostream &out, set<T> &s) { for (auto e : s) out << e << " "; out << "\n"; return out; } template <typename T, typename N> std::ostream &operator<<(std::ostream &out, pair<T, N> &p) { out << "(" << p.first << ", " << p.second << ") "; return out; } template <typename T, typename N> std::ostream &operator<<(std::ostream &out, vector<pair<T, N> > &v) { for (size_t i = 0; i < v.size(); ++i) cout << v[i]; out << "\n"; return out; } template <typename T> std::ostream &operator<<(std::ostream &out, vector<vector<T> > &v) { for (size_t i = 0; i < v.size(); ++i) { for (size_t j = 0; j < v[i].size(); ++j) { out << v[i][j] << " "; } out << "\n"; } return out; } template <typename T> std::ostream &operator<<(std::ostream &out, vector<set<T> > &v) { for (size_t i = 0; i < v.size(); ++i) { out << v[i]; } out << "\n"; return out; } void solve() { int n, k; cin >> n >> k; int a, b, c, d; cin >> a >> b >> c >> d; if (n == 4 || k < n + 1) { cout << "-1\n"; return; } cout << a << " " << c << " "; for (int i = 1; i <= n; ++i) { if (i != a && i != b && i != c && i != d) { cout << i << " "; } } cout << d << " " << b << "\n"; cout << c << " " << a << " "; for (int i = 1; i <= n; ++i) { if (i != a && i != b && i != c && i != d) { cout << i << " "; } } cout << b << " " << d << "\n"; return; } int main() { std::ios::sync_with_stdio(false); cin.tie(0); cout.tie(0); int t; t = 1; while (t--) { solve(); } return 0; }
#include <bits/stdc++.h> using namespace std; int main() { int n, k, a, b, c, d; cin >> n >> k >> a >> b >> c >> d; if (k < n + 1 || n == 4) { cout << -1 << endl; } else { cout << a << " " << c << " "; for (int v = 1; v <= n; v++) { if (v != a && v != b && v != c && v != d) { cout << v << " "; } } cout << d << " " << b << endl; cout << c << " " << a << " "; for (int v = 1; v <= n; v++) { if (v != a && v != b && v != c && v != d) { cout << v << " "; } } cout << b << " " << d << endl; } return 0; }
#include <bits/stdc++.h> using namespace std; const long long inf = 1e18; const long long N = 1010; long long v[N], n, k, a, b, c, d; vector<long long> u; int main() { ios_base::sync_with_stdio(false); cin >> n >> k >> a >> b >> c >> d; if (k < n + 1 || n <= 4) { cout << -1; return 0; } for (int i = 1; i <= n; i++) if (i != a && i != b && i != c && i != d) u.push_back(i); v[1] = a; v[2] = c; v[n - 1] = d; v[n] = b; for (int i = 3; i <= n - 2; i++) v[i] = u[i - 3]; for (int i = 1; i <= n; i++) cout << v[i] << " "; cout << endl; swap(v[1], v[2]); swap(v[n - 1], v[n]); for (int i = 1; i <= n; i++) cout << v[i] << " "; cout << endl; }
#include <bits/stdc++.h> using namespace std; int32_t main() { ios_base::sync_with_stdio(false); cin.tie(0); cout.tie(0); int n, k; int a, b, c, d; cin >> n >> k; cin >> a >> b >> c >> d; if (n == 4 || (n >= 5 && k <= n)) return cout << -1, 0; vector<int> vec; for (int i = 1; i <= n; i++) if (i != a && i != b && i != c && i != d) vec.push_back(i); cout << a << " " << d << " "; for (auto x : vec) cout << x << " "; cout << c << " " << b << '\n'; reverse(vec.begin(), vec.end()); cout << c << " " << b << " "; for (auto x : vec) cout << x << " "; cout << a << " " << d << '\n'; return 0; }
#include <bits/stdc++.h> using namespace std; int main() { ios::sync_with_stdio(false); cin.tie(0); int n, k; cin >> n >> k; int a, b, c, d; cin >> a >> b >> c >> d; vector<int> x; for (int i = 1; i <= n; i++) { if (i == a or i == b or i == c or i == d) continue; x.push_back(i); } if (x.empty()) { cout << -1 << '\n'; return (0); } set<pair<int, int> > edges; auto add_edge = [&](int u, int v) { edges.insert(pair<int, int>(min(u, v), max(u, v))); }; vector<int> p1; p1.push_back(a); p1.push_back(c); for (int xi : x) p1.push_back(xi); p1.push_back(d); p1.push_back(b); vector<int> p2; p2.push_back(c); p2.push_back(a); for (int xi : x) p2.push_back(xi); p2.push_back(b); p2.push_back(d); for (int i = 1; i < int(p1.size()); i++) { add_edge(p1[i - 1], p1[i]); add_edge(p2[i - 1], p2[i]); } if (int(edges.size()) > k) { cout << -1 << '\n'; return (0); } for (int i = 0; i < int(p1.size()); i++) { cout << p1[i] << " \n"[i == int(p1.size()) - 1]; } for (int i = 0; i < int(p2.size()); i++) { cout << p2[i] << " \n"[i == int(p2.size()) - 1]; } return (0); }
#include <bits/stdc++.h> #pragma comment(linker, "/STACK:167772160") using namespace std; const int INF = 1e9 + 10; const long long LINF = (long long)2e18 + 10; const long double PI = acos(-1); const long double eps = 1e-8; const long double EPS = 1e-12; int n, k; int a, b, c, d; void solve() { scanf("%d%d", &n, &k); scanf("%d%d%d%d", &a, &b, &c, &d); if (k == n - 1 || k == n || n == 4) { printf("-1"); return; } printf("%d %d ", a, c); for (int i = 1; i <= n; ++i) if (i != a && i != b && i != c && i != d) printf("%d ", i); printf("%d %d\n", d, b); printf("%d %d ", c, a); for (int i = 1; i <= n; ++i) if (i != a && i != b && i != c && i != d) printf("%d ", i); printf("%d %d\n", b, d); } int main() { solve(); return 0; }
#include <bits/stdc++.h> using namespace std; struct debugger { template <typename T> debugger& operator,(const T v) { cerr << v << " "; return *this; } } dbg; int vis[10000]; int line[10000]; int main() { int n, m; int a, b, c, d; cin >> n >> m; cin >> a >> b >> c >> d; if (m < n + 1 || n < 5) { cout << -1 << "\n"; return 0; } line[1] = a; line[n] = b; line[2] = c; line[n - 1] = d; vis[a] = 1; vis[b] = 1; vis[c] = 1; vis[d] = 1; int idx = 3; for (int i = 1; i <= n; ++i) { if (vis[i]) continue; line[idx++] = i; vis[i] = 1; } for (int i = 1; i <= n; ++i) { cout << line[i] << " "; } cout << "\n"; cout << c << " " << a; for (int i = n - 2; i > 2; --i) cout << " " << line[i]; cout << " " << b << " " << d << "\n"; return 0; }
#include <bits/stdc++.h> using namespace std; using ll = long long; using ld = long double; using D = double; using uint = unsigned int; vector<int> answer; int n, k, a, b, c, d; int main() { scanf("%d%d", &n, &k); scanf("%d%d%d%d", &a, &b, &c, &d); if (k == n - 1 || k == n || n == 4) { cout << -1 << endl; return 0; } answer.push_back(a); answer.push_back(d); for (int i = 1; i <= n; i++) if (i != a && i != b && i != c && i != d) answer.push_back(i); answer.push_back(c); answer.push_back(b); for (int i = 0; i < n; i++) printf("%d ", answer[i]); printf("\n"); for (int i = n - 2; i < n; i++) printf("%d ", answer[i]); for (int i = n - 3; i > 1; i--) printf("%d ", answer[i]); for (int i = 0; i < 2; i++) printf("%d ", answer[i]); printf("\n"); return 0; }
#include <bits/stdc++.h> using namespace std; int n, m, a, b, c, d; int main() { cin >> n >> m >> a >> b >> c >> d; if (m < n + 1 || n == 4) { cout << -1; return 0; } cout << a << " " << c << " "; for (int i = 1; i < n + 1; i++) { if (i != a and i != b and i != c and i != d) { cout << i << " "; } } cout << d << " " << b << "\n"; cout << c << " " << a << " "; for (int i = 1; i < n + 1; i++) { if (i != a and i != b and i != c and i != d) { cout << i << " "; } } cout << b << " " << d; }